TSTP Solution File: SWC112+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC112+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:55 EDT 2022
% Result : Theorem 3.64s 4.01s
% Output : Refutation 3.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC112+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 12 15:43:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.82/1.23 *** allocated 10000 integers for termspace/termends
% 0.82/1.23 *** allocated 10000 integers for clauses
% 0.82/1.23 *** allocated 10000 integers for justifications
% 0.82/1.23 Bliksem 1.12
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 Automatic Strategy Selection
% 0.82/1.23
% 0.82/1.23 *** allocated 15000 integers for termspace/termends
% 0.82/1.23
% 0.82/1.23 Clauses:
% 0.82/1.23
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.82/1.23 { ssItem( skol1 ) }.
% 0.82/1.23 { ssItem( skol47 ) }.
% 0.82/1.23 { ! skol1 = skol47 }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.82/1.23 }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.82/1.23 Y ) ) }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.82/1.23 ( X, Y ) }.
% 0.82/1.23 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.82/1.23 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.82/1.23 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.82/1.23 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.82/1.23 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.82/1.23 ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.82/1.23 ) = X }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.82/1.23 ( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.82/1.23 }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.82/1.23 = X }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.82/1.23 ( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.82/1.23 }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.82/1.23 , Y ) ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.82/1.23 segmentP( X, Y ) }.
% 0.82/1.23 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.82/1.23 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.82/1.23 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.82/1.23 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.82/1.23 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.82/1.23 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.82/1.23 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.82/1.23 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.82/1.23 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.82/1.23 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.82/1.23 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.82/1.23 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.82/1.23 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.82/1.23 .
% 0.82/1.23 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.82/1.23 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.82/1.23 , U ) }.
% 0.82/1.23 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.23 ) ) = X, alpha12( Y, Z ) }.
% 0.82/1.23 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.82/1.23 W ) }.
% 0.82/1.23 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.82/1.23 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.82/1.23 { leq( X, Y ), alpha12( X, Y ) }.
% 0.82/1.23 { leq( Y, X ), alpha12( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.82/1.23 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.82/1.23 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.82/1.23 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.82/1.23 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.82/1.23 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.82/1.23 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.82/1.23 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.82/1.23 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.82/1.23 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.82/1.23 .
% 0.82/1.23 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.82/1.23 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.82/1.23 , U ) }.
% 0.82/1.23 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.23 ) ) = X, alpha13( Y, Z ) }.
% 0.82/1.23 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.82/1.23 W ) }.
% 0.82/1.23 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.82/1.23 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.82/1.23 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.82/1.23 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.82/1.23 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.82/1.23 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.82/1.23 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.82/1.23 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.82/1.23 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.82/1.23 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.82/1.23 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.82/1.23 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.82/1.23 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.82/1.23 .
% 0.82/1.23 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.82/1.23 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.82/1.23 , U ) }.
% 0.82/1.23 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.23 ) ) = X, alpha14( Y, Z ) }.
% 0.82/1.23 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.82/1.23 W ) }.
% 0.82/1.23 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.82/1.23 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.82/1.23 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.82/1.23 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.82/1.23 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.82/1.23 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.82/1.23 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.82/1.23 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.82/1.23 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.82/1.23 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.82/1.23 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.82/1.23 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.82/1.23 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.82/1.23 .
% 0.82/1.23 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.82/1.23 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.82/1.23 , U ) }.
% 0.82/1.23 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.23 ) ) = X, leq( Y, Z ) }.
% 0.82/1.23 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.82/1.23 W ) }.
% 0.82/1.23 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.82/1.23 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.82/1.23 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.82/1.23 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.82/1.23 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.82/1.23 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.82/1.23 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.82/1.23 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.82/1.23 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.82/1.23 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.82/1.23 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.82/1.23 .
% 0.82/1.23 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.82/1.23 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.82/1.23 , U ) }.
% 0.82/1.23 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.23 ) ) = X, lt( Y, Z ) }.
% 0.82/1.23 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.82/1.23 W ) }.
% 0.82/1.23 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.82/1.23 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.82/1.23 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.82/1.23 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.82/1.23 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.82/1.23 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.82/1.23 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.82/1.23 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.82/1.23 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.82/1.23 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.82/1.23 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.82/1.23 .
% 0.82/1.23 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.82/1.23 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.82/1.23 , U ) }.
% 0.82/1.23 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.23 ) ) = X, ! Y = Z }.
% 0.82/1.23 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.82/1.23 W ) }.
% 0.82/1.23 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.82/1.23 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.82/1.23 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.82/1.23 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.82/1.23 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.82/1.23 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.82/1.23 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.82/1.23 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.82/1.23 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.82/1.23 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.82/1.23 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.82/1.23 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.82/1.23 Z }.
% 0.82/1.23 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.82/1.23 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.82/1.23 { ssList( nil ) }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.82/1.23 ) = cons( T, Y ), Z = T }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.82/1.23 ) = cons( T, Y ), Y = X }.
% 0.82/1.23 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.82/1.23 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.82/1.23 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.82/1.23 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.82/1.23 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.82/1.23 ( cons( Z, Y ), X ) }.
% 0.82/1.23 { ! ssList( X ), app( nil, X ) = X }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.82/1.23 , leq( X, Z ) }.
% 0.82/1.23 { ! ssItem( X ), leq( X, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.82/1.23 lt( X, Z ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.82/1.23 , memberP( Y, X ), memberP( Z, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.82/1.23 app( Y, Z ), X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.82/1.23 app( Y, Z ), X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.82/1.23 , X = Y, memberP( Z, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.82/1.23 ), X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.82/1.23 cons( Y, Z ), X ) }.
% 0.82/1.23 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.82/1.23 { ! singletonP( nil ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.82/1.23 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.82/1.23 = Y }.
% 0.82/1.23 { ! ssList( X ), frontsegP( X, X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.82/1.23 frontsegP( app( X, Z ), Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.82/1.23 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.82/1.23 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.82/1.23 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.82/1.23 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.82/1.23 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.82/1.23 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.82/1.23 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.82/1.23 Y }.
% 0.82/1.23 { ! ssList( X ), rearsegP( X, X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.82/1.23 ( app( Z, X ), Y ) }.
% 0.82/1.23 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.82/1.23 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.82/1.23 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.82/1.23 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.82/1.23 Y }.
% 0.82/1.23 { ! ssList( X ), segmentP( X, X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.82/1.23 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.82/1.23 { ! ssList( X ), segmentP( X, nil ) }.
% 0.82/1.23 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.82/1.23 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.82/1.23 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.82/1.23 { cyclefreeP( nil ) }.
% 0.82/1.23 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.82/1.23 { totalorderP( nil ) }.
% 0.82/1.23 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.82/1.23 { strictorderP( nil ) }.
% 0.82/1.23 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.82/1.23 { totalorderedP( nil ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.82/1.23 alpha10( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.82/1.23 .
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.82/1.23 Y ) ) }.
% 0.82/1.23 { ! alpha10( X, Y ), ! nil = Y }.
% 0.82/1.23 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.82/1.23 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.82/1.23 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.82/1.23 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.82/1.23 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.82/1.23 { strictorderedP( nil ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.82/1.23 alpha11( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.82/1.23 .
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.82/1.23 , Y ) ) }.
% 0.82/1.23 { ! alpha11( X, Y ), ! nil = Y }.
% 0.82/1.23 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.82/1.23 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.82/1.23 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.82/1.23 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.82/1.23 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.82/1.23 { duplicatefreeP( nil ) }.
% 0.82/1.23 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.82/1.23 { equalelemsP( nil ) }.
% 0.82/1.23 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.82/1.23 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.82/1.23 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.82/1.23 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.82/1.23 ( Y ) = tl( X ), Y = X }.
% 0.82/1.23 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.82/1.23 , Z = X }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.82/1.23 , Z = X }.
% 0.82/1.23 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.82/1.23 ( X, app( Y, Z ) ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.82/1.23 { ! ssList( X ), app( X, nil ) = X }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.82/1.23 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.82/1.23 Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.82/1.23 , geq( X, Z ) }.
% 0.82/1.23 { ! ssItem( X ), geq( X, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! lt( X, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.82/1.23 , lt( X, Z ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.82/1.23 gt( X, Z ) }.
% 0.82/1.23 { ssList( skol46 ) }.
% 0.82/1.23 { ssList( skol49 ) }.
% 0.82/1.23 { ssList( skol50 ) }.
% 0.82/1.23 { ssList( skol51 ) }.
% 0.82/1.23 { skol49 = skol51 }.
% 0.82/1.23 { skol46 = skol50 }.
% 0.82/1.23 { ssList( skol52 ) }.
% 0.82/1.23 { ssList( skol53 ) }.
% 0.82/1.23 { app( app( skol52, skol50 ), skol53 ) = skol51 }.
% 0.82/1.23 { strictorderedP( skol50 ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! app( Y, cons( X, nil ) ) = skol52, !
% 0.82/1.23 ssItem( Z ), ! ssList( T ), ! app( cons( Z, nil ), T ) = skol50, ! lt( X
% 0.82/1.23 , Z ) }.
% 0.82/1.23 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol53, !
% 0.82/1.23 ssItem( Z ), ! ssList( T ), ! app( T, cons( Z, nil ) ) = skol50, ! lt( Z
% 0.82/1.23 , X ) }.
% 0.82/1.23 { nil = skol51, ! nil = skol50 }.
% 0.82/1.23 { alpha44( skol46, skol49 ), neq( skol49, nil ) }.
% 0.82/1.23 { alpha44( skol46, skol49 ), ! neq( skol46, nil ), ! segmentP( skol49,
% 0.82/1.23 skol46 ) }.
% 0.82/1.23 { ! alpha44( X, Y ), nil = Y }.
% 0.82/1.23 { ! alpha44( X, Y ), ! nil = X }.
% 0.82/1.23 { ! nil = Y, nil = X, alpha44( X, Y ) }.
% 0.82/1.23
% 0.82/1.23 *** allocated 15000 integers for clauses
% 0.82/1.23 percentage equality = 0.136101, percentage horn = 0.761092
% 0.82/1.23 This is a problem with some equality
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 Options Used:
% 0.82/1.23
% 0.82/1.23 useres = 1
% 0.82/1.23 useparamod = 1
% 0.82/1.23 useeqrefl = 1
% 0.82/1.23 useeqfact = 1
% 0.82/1.23 usefactor = 1
% 0.82/1.23 usesimpsplitting = 0
% 0.82/1.23 usesimpdemod = 5
% 0.82/1.23 usesimpres = 3
% 0.82/1.23
% 0.82/1.23 resimpinuse = 1000
% 0.82/1.23 resimpclauses = 20000
% 0.82/1.23 substype = eqrewr
% 0.82/1.23 backwardsubs = 1
% 0.82/1.23 selectoldest = 5
% 0.82/1.23
% 0.82/1.23 litorderings [0] = split
% 0.82/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.23
% 0.82/1.23 termordering = kbo
% 0.82/1.23
% 0.82/1.23 litapriori = 0
% 0.82/1.23 termapriori = 1
% 0.82/1.23 litaposteriori = 0
% 0.82/1.23 termaposteriori = 0
% 0.82/1.23 demodaposteriori = 0
% 0.82/1.23 ordereqreflfact = 0
% 0.82/1.23
% 0.82/1.23 litselect = negord
% 0.82/1.23
% 0.82/1.23 maxweight = 15
% 0.82/1.23 maxdepth = 30000
% 0.82/1.23 maxlength = 115
% 0.82/1.23 maxnrvars = 195
% 0.82/1.23 excuselevel = 1
% 0.82/1.23 increasemaxweight = 1
% 0.82/1.23
% 0.82/1.23 maxselected = 10000000
% 0.82/1.23 maxnrclauses = 10000000
% 0.82/1.23
% 0.82/1.23 showgenerated = 0
% 0.82/1.23 showkept = 0
% 0.82/1.23 showselected = 0
% 0.82/1.23 showdeleted = 0
% 0.82/1.23 showresimp = 1
% 0.82/1.23 showstatus = 2000
% 0.82/1.23
% 0.82/1.23 prologoutput = 0
% 0.82/1.23 nrgoals = 5000000
% 0.82/1.23 totalproof = 1
% 0.82/1.23
% 0.82/1.23 Symbols occurring in the translation:
% 0.82/1.23
% 0.82/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.23 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.82/1.23 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 0.82/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.34/1.74 ssItem [36, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.34/1.74 neq [38, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.34/1.74 ssList [39, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.34/1.74 memberP [40, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.34/1.74 cons [43, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.34/1.74 app [44, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.34/1.74 singletonP [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.34/1.74 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.34/1.74 frontsegP [47, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.34/1.74 rearsegP [48, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.34/1.74 segmentP [49, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.34/1.74 cyclefreeP [50, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.34/1.74 leq [53, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.34/1.74 totalorderP [54, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.34/1.74 strictorderP [55, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.34/1.74 lt [56, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.34/1.74 totalorderedP [57, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.34/1.74 strictorderedP [58, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.34/1.74 duplicatefreeP [59, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.34/1.74 equalelemsP [60, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.34/1.74 hd [61, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.34/1.74 tl [62, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.34/1.74 geq [63, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.34/1.74 gt [64, 2] (w:1, o:92, a:1, s:1, b:0),
% 1.34/1.74 alpha1 [73, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.34/1.74 alpha2 [74, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.34/1.74 alpha3 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.34/1.74 alpha4 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.34/1.74 alpha5 [77, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.34/1.74 alpha6 [78, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.34/1.74 alpha7 [79, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.34/1.74 alpha8 [80, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.34/1.74 alpha9 [81, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.34/1.74 alpha10 [82, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.34/1.74 alpha11 [83, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.34/1.74 alpha12 [84, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.34/1.74 alpha13 [85, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.34/1.74 alpha14 [86, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.34/1.74 alpha15 [87, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.34/1.74 alpha16 [88, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.34/1.74 alpha17 [89, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.34/1.74 alpha18 [90, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.34/1.74 alpha19 [91, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.34/1.74 alpha20 [92, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.34/1.74 alpha21 [93, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.34/1.74 alpha22 [94, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.34/1.74 alpha23 [95, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.34/1.74 alpha24 [96, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.34/1.74 alpha25 [97, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.34/1.74 alpha26 [98, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.34/1.74 alpha27 [99, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.34/1.74 alpha28 [100, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.34/1.74 alpha29 [101, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.34/1.74 alpha30 [102, 4] (w:1, o:143, a:1, s:1, b:1),
% 1.34/1.74 alpha31 [103, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.34/1.74 alpha32 [104, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.34/1.74 alpha33 [105, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.34/1.74 alpha34 [106, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.34/1.74 alpha35 [107, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.34/1.74 alpha36 [108, 5] (w:1, o:156, a:1, s:1, b:1),
% 1.34/1.74 alpha37 [109, 5] (w:1, o:157, a:1, s:1, b:1),
% 1.34/1.74 alpha38 [110, 6] (w:1, o:164, a:1, s:1, b:1),
% 1.34/1.74 alpha39 [111, 6] (w:1, o:165, a:1, s:1, b:1),
% 1.34/1.74 alpha40 [112, 6] (w:1, o:166, a:1, s:1, b:1),
% 1.34/1.74 alpha41 [113, 6] (w:1, o:167, a:1, s:1, b:1),
% 1.34/1.74 alpha42 [114, 6] (w:1, o:168, a:1, s:1, b:1),
% 1.34/1.74 alpha43 [115, 6] (w:1, o:169, a:1, s:1, b:1),
% 1.34/1.74 alpha44 [116, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.34/1.74 skol1 [117, 0] (w:1, o:21, a:1, s:1, b:1),
% 1.34/1.74 skol2 [118, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.34/1.74 skol3 [119, 3] (w:1, o:130, a:1, s:1, b:1),
% 1.34/1.74 skol4 [120, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.34/1.74 skol5 [121, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.34/1.74 skol6 [122, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.34/1.74 skol7 [123, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.34/1.74 skol8 [124, 3] (w:1, o:131, a:1, s:1, b:1),
% 1.34/1.74 skol9 [125, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.34/1.74 skol10 [126, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.34/1.74 skol11 [127, 3] (w:1, o:132, a:1, s:1, b:1),
% 1.34/1.74 skol12 [128, 4] (w:1, o:144, a:1, s:1, b:1),
% 3.64/4.00 skol13 [129, 5] (w:1, o:158, a:1, s:1, b:1),
% 3.64/4.00 skol14 [130, 1] (w:1, o:44, a:1, s:1, b:1),
% 3.64/4.00 skol15 [131, 2] (w:1, o:109, a:1, s:1, b:1),
% 3.64/4.00 skol16 [132, 3] (w:1, o:133, a:1, s:1, b:1),
% 3.64/4.00 skol17 [133, 4] (w:1, o:145, a:1, s:1, b:1),
% 3.64/4.00 skol18 [134, 5] (w:1, o:159, a:1, s:1, b:1),
% 3.64/4.00 skol19 [135, 1] (w:1, o:45, a:1, s:1, b:1),
% 3.64/4.00 skol20 [136, 2] (w:1, o:115, a:1, s:1, b:1),
% 3.64/4.00 skol21 [137, 3] (w:1, o:128, a:1, s:1, b:1),
% 3.64/4.00 skol22 [138, 4] (w:1, o:146, a:1, s:1, b:1),
% 3.64/4.00 skol23 [139, 5] (w:1, o:160, a:1, s:1, b:1),
% 3.64/4.00 skol24 [140, 1] (w:1, o:46, a:1, s:1, b:1),
% 3.64/4.00 skol25 [141, 2] (w:1, o:116, a:1, s:1, b:1),
% 3.64/4.00 skol26 [142, 3] (w:1, o:129, a:1, s:1, b:1),
% 3.64/4.00 skol27 [143, 4] (w:1, o:147, a:1, s:1, b:1),
% 3.64/4.00 skol28 [144, 5] (w:1, o:161, a:1, s:1, b:1),
% 3.64/4.00 skol29 [145, 1] (w:1, o:47, a:1, s:1, b:1),
% 3.64/4.00 skol30 [146, 2] (w:1, o:117, a:1, s:1, b:1),
% 3.64/4.00 skol31 [147, 3] (w:1, o:134, a:1, s:1, b:1),
% 3.64/4.00 skol32 [148, 4] (w:1, o:148, a:1, s:1, b:1),
% 3.64/4.00 skol33 [149, 5] (w:1, o:162, a:1, s:1, b:1),
% 3.64/4.00 skol34 [150, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.64/4.00 skol35 [151, 2] (w:1, o:118, a:1, s:1, b:1),
% 3.64/4.00 skol36 [152, 3] (w:1, o:135, a:1, s:1, b:1),
% 3.64/4.00 skol37 [153, 4] (w:1, o:149, a:1, s:1, b:1),
% 3.64/4.00 skol38 [154, 5] (w:1, o:163, a:1, s:1, b:1),
% 3.64/4.00 skol39 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.64/4.00 skol40 [156, 2] (w:1, o:111, a:1, s:1, b:1),
% 3.64/4.00 skol41 [157, 3] (w:1, o:136, a:1, s:1, b:1),
% 3.64/4.00 skol42 [158, 4] (w:1, o:150, a:1, s:1, b:1),
% 3.64/4.00 skol43 [159, 1] (w:1, o:48, a:1, s:1, b:1),
% 3.64/4.00 skol44 [160, 1] (w:1, o:49, a:1, s:1, b:1),
% 3.64/4.00 skol45 [161, 1] (w:1, o:50, a:1, s:1, b:1),
% 3.64/4.00 skol46 [162, 0] (w:1, o:22, a:1, s:1, b:1),
% 3.64/4.00 skol47 [163, 0] (w:1, o:23, a:1, s:1, b:1),
% 3.64/4.00 skol48 [164, 1] (w:1, o:51, a:1, s:1, b:1),
% 3.64/4.00 skol49 [165, 0] (w:1, o:24, a:1, s:1, b:1),
% 3.64/4.00 skol50 [166, 0] (w:1, o:25, a:1, s:1, b:1),
% 3.64/4.00 skol51 [167, 0] (w:1, o:26, a:1, s:1, b:1),
% 3.64/4.00 skol52 [168, 0] (w:1, o:27, a:1, s:1, b:1),
% 3.64/4.00 skol53 [169, 0] (w:1, o:28, a:1, s:1, b:1).
% 3.64/4.00
% 3.64/4.00
% 3.64/4.00 Starting Search:
% 3.64/4.00
% 3.64/4.00 *** allocated 22500 integers for clauses
% 3.64/4.00 *** allocated 33750 integers for clauses
% 3.64/4.00 *** allocated 50625 integers for clauses
% 3.64/4.00 *** allocated 22500 integers for termspace/termends
% 3.64/4.00 *** allocated 75937 integers for clauses
% 3.64/4.00 Resimplifying inuse:
% 3.64/4.00 Done
% 3.64/4.00
% 3.64/4.00 *** allocated 33750 integers for termspace/termends
% 3.64/4.00 *** allocated 113905 integers for clauses
% 3.64/4.00 *** allocated 50625 integers for termspace/termends
% 3.64/4.00
% 3.64/4.00 Intermediate Status:
% 3.64/4.00 Generated: 3560
% 3.64/4.00 Kept: 2011
% 3.64/4.00 Inuse: 226
% 3.64/4.00 Deleted: 5
% 3.64/4.00 Deletedinuse: 0
% 3.64/4.00
% 3.64/4.00 Resimplifying inuse:
% 3.64/4.00 Done
% 3.64/4.00
% 3.64/4.00 *** allocated 170857 integers for clauses
% 3.64/4.00 *** allocated 75937 integers for termspace/termends
% 3.64/4.00 Resimplifying inuse:
% 3.64/4.00 Done
% 3.64/4.00
% 3.64/4.00 *** allocated 256285 integers for clauses
% 3.64/4.00
% 3.64/4.00 Intermediate Status:
% 3.64/4.00 Generated: 8613
% 3.64/4.00 Kept: 4011
% 3.64/4.00 Inuse: 382
% 3.64/4.00 Deleted: 5
% 3.64/4.00 Deletedinuse: 0
% 3.64/4.00
% 3.64/4.00 Resimplifying inuse:
% 3.64/4.00 Done
% 3.64/4.00
% 3.64/4.00 *** allocated 113905 integers for termspace/termends
% 3.64/4.00 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 *** allocated 384427 integers for clauses
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 14023
% 3.64/4.01 Kept: 6023
% 3.64/4.01 Inuse: 516
% 3.64/4.01 Deleted: 5
% 3.64/4.01 Deletedinuse: 0
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 *** allocated 170857 integers for termspace/termends
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 18576
% 3.64/4.01 Kept: 8028
% 3.64/4.01 Inuse: 620
% 3.64/4.01 Deleted: 44
% 3.64/4.01 Deletedinuse: 10
% 3.64/4.01
% 3.64/4.01 *** allocated 576640 integers for clauses
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 22296
% 3.64/4.01 Kept: 10088
% 3.64/4.01 Inuse: 655
% 3.64/4.01 Deleted: 48
% 3.64/4.01 Deletedinuse: 12
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 *** allocated 256285 integers for termspace/termends
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 *** allocated 864960 integers for clauses
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 29714
% 3.64/4.01 Kept: 13032
% 3.64/4.01 Inuse: 730
% 3.64/4.01 Deleted: 53
% 3.64/4.01 Deletedinuse: 17
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 40677
% 3.64/4.01 Kept: 15405
% 3.64/4.01 Inuse: 765
% 3.64/4.01 Deleted: 57
% 3.64/4.01 Deletedinuse: 21
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 *** allocated 384427 integers for termspace/termends
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 47080
% 3.64/4.01 Kept: 17461
% 3.64/4.01 Inuse: 848
% 3.64/4.01 Deleted: 67
% 3.64/4.01 Deletedinuse: 29
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 *** allocated 1297440 integers for clauses
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 55156
% 3.64/4.01 Kept: 19471
% 3.64/4.01 Inuse: 863
% 3.64/4.01 Deleted: 93
% 3.64/4.01 Deletedinuse: 29
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying clauses:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 *** allocated 576640 integers for termspace/termends
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 65715
% 3.64/4.01 Kept: 21538
% 3.64/4.01 Inuse: 888
% 3.64/4.01 Deleted: 2219
% 3.64/4.01 Deletedinuse: 37
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 75070
% 3.64/4.01 Kept: 23561
% 3.64/4.01 Inuse: 909
% 3.64/4.01 Deleted: 2219
% 3.64/4.01 Deletedinuse: 37
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 82542
% 3.64/4.01 Kept: 25576
% 3.64/4.01 Inuse: 944
% 3.64/4.01 Deleted: 2237
% 3.64/4.01 Deletedinuse: 55
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 91195
% 3.64/4.01 Kept: 27841
% 3.64/4.01 Inuse: 981
% 3.64/4.01 Deleted: 2240
% 3.64/4.01 Deletedinuse: 55
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 *** allocated 1946160 integers for clauses
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 99491
% 3.64/4.01 Kept: 29919
% 3.64/4.01 Inuse: 1016
% 3.64/4.01 Deleted: 2241
% 3.64/4.01 Deletedinuse: 56
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 109431
% 3.64/4.01 Kept: 31998
% 3.64/4.01 Inuse: 1036
% 3.64/4.01 Deleted: 2242
% 3.64/4.01 Deletedinuse: 57
% 3.64/4.01
% 3.64/4.01 *** allocated 864960 integers for termspace/termends
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 116519
% 3.64/4.01 Kept: 34014
% 3.64/4.01 Inuse: 1056
% 3.64/4.01 Deleted: 2242
% 3.64/4.01 Deletedinuse: 57
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 126602
% 3.64/4.01 Kept: 36047
% 3.64/4.01 Inuse: 1077
% 3.64/4.01 Deleted: 2249
% 3.64/4.01 Deletedinuse: 61
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 135852
% 3.64/4.01 Kept: 38065
% 3.64/4.01 Inuse: 1119
% 3.64/4.01 Deleted: 2249
% 3.64/4.01 Deletedinuse: 61
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Intermediate Status:
% 3.64/4.01 Generated: 144372
% 3.64/4.01 Kept: 40111
% 3.64/4.01 Inuse: 1198
% 3.64/4.01 Deleted: 2252
% 3.64/4.01 Deletedinuse: 61
% 3.64/4.01
% 3.64/4.01 Resimplifying inuse:
% 3.64/4.01 Done
% 3.64/4.01
% 3.64/4.01 Resimplifying clauses:
% 3.64/4.01
% 3.64/4.01 Bliksems!, er is een bewijs:
% 3.64/4.01 % SZS status Theorem
% 3.64/4.01 % SZS output start Refutation
% 3.64/4.01
% 3.64/4.01 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 3.64/4.01 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.64/4.01 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 3.64/4.01 alpha2( X, Y, Z ) }.
% 3.64/4.01 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.64/4.01 , ! X = Y }.
% 3.64/4.01 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.64/4.01 (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.64/4.01 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.64/4.01 (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil ) }.
% 3.64/4.01 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.64/4.01 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 3.64/4.01 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.64/4.01 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.64/4.01 (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 3.64/4.01 (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 3.64/4.01 (283) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52, skol46 ),
% 3.64/4.01 skol53 ) ==> skol49 }.
% 3.64/4.01 (287) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, ! skol46 ==>
% 3.64/4.01 nil }.
% 3.64/4.01 (288) {G0,W6,D2,L2,V0,M2} I { alpha44( skol46, skol49 ), neq( skol49, nil )
% 3.64/4.01 }.
% 3.64/4.01 (289) {G0,W9,D2,L3,V0,M3} I { alpha44( skol46, skol49 ), ! neq( skol46, nil
% 3.64/4.01 ), ! segmentP( skol49, skol46 ) }.
% 3.64/4.01 (290) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 3.64/4.01 (291) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), ! nil = X }.
% 3.64/4.01 (292) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, nil = X, alpha44( X, Y ) }.
% 3.64/4.01 (327) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X ) }.
% 3.64/4.01 (377) {G1,W6,D2,L2,V1,M2} Q(292) { nil = X, alpha44( X, nil ) }.
% 3.64/4.01 (484) {G1,W3,D2,L1,V0,M1} R(214,275) { segmentP( skol46, nil ) }.
% 3.64/4.01 (781) {G2,W3,D2,L1,V0,M1} R(327,161) { ! neq( nil, nil ) }.
% 3.64/4.01 (967) {G1,W9,D2,L3,V4,M3} P(290,291) { ! alpha44( Y, Z ), ! X = Y, !
% 3.64/4.01 alpha44( T, X ) }.
% 3.64/4.01 (1049) {G2,W6,D2,L2,V2,M2} F(967) { ! alpha44( X, Y ), ! Y = X }.
% 3.64/4.01 (2485) {G2,W5,D2,L2,V1,M2} P(377,161) { ssList( X ), alpha44( X, nil ) }.
% 3.64/4.01 (2520) {G3,W5,D2,L2,V1,M2} R(2485,1049) { ssList( X ), ! nil = X }.
% 3.64/4.01 (7013) {G3,W3,D2,L1,V0,M1} R(288,291);d(287);r(781) { ! skol46 ==> nil }.
% 3.64/4.01 (12257) {G4,W8,D2,L3,V1,M3} P(159,7013);r(275) { ! X = nil, ! ssList( X ),
% 3.64/4.01 neq( skol46, X ) }.
% 3.64/4.01 (13011) {G5,W3,D2,L1,V0,M1} Q(12257);r(161) { neq( skol46, nil ) }.
% 3.64/4.01 (13041) {G6,W6,D2,L2,V1,M2} P(377,13011) { neq( skol46, X ), alpha44( X,
% 3.64/4.01 nil ) }.
% 3.64/4.01 (13311) {G7,W6,D2,L2,V1,M2} R(13041,1049) { neq( skol46, X ), ! nil = X }.
% 3.64/4.01 (13318) {G8,W8,D2,L3,V1,M3} R(13311,158);r(275) { ! nil = X, ! ssList( X )
% 3.64/4.01 , ! skol46 = X }.
% 3.64/4.01 (20312) {G9,W6,D2,L2,V1,M2} S(13318);r(2520) { ! nil = X, ! skol46 = X }.
% 3.64/4.01 (20421) {G6,W6,D2,L2,V0,M2} S(289);r(13011) { alpha44( skol46, skol49 ), !
% 3.64/4.01 segmentP( skol49, skol46 ) }.
% 3.64/4.01 (23146) {G10,W14,D2,L5,V2,M5} P(211,20312);r(275) { ! nil = Y, ! X = Y, !
% 3.64/4.01 ssList( X ), ! segmentP( skol46, X ), ! segmentP( X, skol46 ) }.
% 3.64/4.01 (23550) {G11,W9,D2,L3,V1,M3} Q(23146);r(2520) { ! X = nil, ! segmentP(
% 3.64/4.01 skol46, X ), ! segmentP( X, skol46 ) }.
% 3.64/4.01 (23551) {G12,W3,D2,L1,V0,M1} Q(23550);r(484) { ! segmentP( nil, skol46 )
% 3.64/4.01 }.
% 3.64/4.01 (23575) {G13,W6,D2,L2,V2,M2} P(290,23551) { ! segmentP( X, skol46 ), !
% 3.64/4.01 alpha44( Y, X ) }.
% 3.64/4.01 (26386) {G14,W3,D2,L1,V0,M1} S(20421);r(23575) { ! segmentP( skol49, skol46
% 3.64/4.01 ) }.
% 3.64/4.01 (37071) {G2,W7,D2,L2,V1,M2} P(283,25);r(282) { ! skol49 = X, alpha2( X,
% 3.64/4.01 skol46, skol52 ) }.
% 3.64/4.01 (37088) {G3,W4,D2,L1,V0,M1} Q(37071) { alpha2( skol49, skol46, skol52 ) }.
% 3.64/4.01 (37093) {G4,W7,D2,L3,V0,M3} R(37088,22);r(276) { ! ssList( skol46 ), !
% 3.64/4.01 ssList( skol52 ), segmentP( skol49, skol46 ) }.
% 3.64/4.01 (40456) {G15,W0,D0,L0,V0,M0} S(37093);r(275);r(281);r(26386) { }.
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 % SZS output end Refutation
% 3.64/4.01 found a proof!
% 3.64/4.01
% 3.64/4.01
% 3.64/4.01 Unprocessed initial clauses:
% 3.64/4.01
% 3.64/4.01 (40458) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.64/4.01 , ! X = Y }.
% 3.64/4.01 (40459) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40460) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.64/4.01 (40461) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 3.64/4.01 (40462) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 3.64/4.01 (40463) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.64/4.01 , Y ), ssList( skol2( Z, T ) ) }.
% 3.64/4.01 (40464) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.64/4.01 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.64/4.01 (40465) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.64/4.01 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.64/4.01 (40466) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.64/4.01 ) ) }.
% 3.64/4.01 (40467) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.64/4.01 ( X, Y, Z ) ) ) = X }.
% 3.64/4.01 (40468) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.64/4.01 , alpha1( X, Y, Z ) }.
% 3.64/4.01 (40469) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.64/4.01 skol4( Y ) ) }.
% 3.64/4.01 (40470) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.64/4.01 skol4( X ), nil ) = X }.
% 3.64/4.01 (40471) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.64/4.01 nil ) = X, singletonP( X ) }.
% 3.64/4.01 (40472) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.64/4.01 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.64/4.01 (40473) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.64/4.01 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.64/4.01 (40474) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.64/4.01 (40475) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.64/4.01 , Y ), ssList( skol6( Z, T ) ) }.
% 3.64/4.01 (40476) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.64/4.01 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.64/4.01 (40477) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.64/4.01 (40478) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.64/4.01 , Y ), ssList( skol7( Z, T ) ) }.
% 3.64/4.01 (40479) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.64/4.01 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.64/4.01 (40480) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.64/4.01 (40481) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.64/4.01 ) ) }.
% 3.64/4.01 (40482) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.64/4.01 skol8( X, Y, Z ) ) = X }.
% 3.64/4.01 (40483) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.64/4.01 , alpha2( X, Y, Z ) }.
% 3.64/4.01 (40484) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.64/4.01 Y ), alpha3( X, Y ) }.
% 3.64/4.01 (40485) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.64/4.01 cyclefreeP( X ) }.
% 3.64/4.01 (40486) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.64/4.01 cyclefreeP( X ) }.
% 3.64/4.01 (40487) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.64/4.01 , Y, Z ) }.
% 3.64/4.01 (40488) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.64/4.01 (40489) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40490) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.64/4.01 alpha28( X, Y, Z, T ) }.
% 3.64/4.01 (40491) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.64/4.01 Z ) }.
% 3.64/4.01 (40492) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.64/4.01 alpha21( X, Y, Z ) }.
% 3.64/4.01 (40493) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.64/4.01 alpha35( X, Y, Z, T, U ) }.
% 3.64/4.01 (40494) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.64/4.01 X, Y, Z, T ) }.
% 3.64/4.01 (40495) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.64/4.01 ), alpha28( X, Y, Z, T ) }.
% 3.64/4.01 (40496) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.64/4.01 alpha41( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40497) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.64/4.01 alpha35( X, Y, Z, T, U ) }.
% 3.64/4.01 (40498) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.64/4.01 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.64/4.01 (40499) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.64/4.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.64/4.01 (40500) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.64/4.01 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40501) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.64/4.01 W ) }.
% 3.64/4.01 (40502) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.64/4.01 X ) }.
% 3.64/4.01 (40503) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.64/4.01 (40504) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.64/4.01 (40505) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.64/4.01 ( Y ), alpha4( X, Y ) }.
% 3.64/4.01 (40506) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.64/4.01 totalorderP( X ) }.
% 3.64/4.01 (40507) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.64/4.01 totalorderP( X ) }.
% 3.64/4.01 (40508) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.64/4.01 , Y, Z ) }.
% 3.64/4.01 (40509) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.64/4.01 (40510) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40511) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.64/4.01 alpha29( X, Y, Z, T ) }.
% 3.64/4.01 (40512) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.64/4.01 Z ) }.
% 3.64/4.01 (40513) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.64/4.01 alpha22( X, Y, Z ) }.
% 3.64/4.01 (40514) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.64/4.01 alpha36( X, Y, Z, T, U ) }.
% 3.64/4.01 (40515) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.64/4.01 X, Y, Z, T ) }.
% 3.64/4.01 (40516) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.64/4.01 ), alpha29( X, Y, Z, T ) }.
% 3.64/4.01 (40517) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.64/4.01 alpha42( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40518) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.64/4.01 alpha36( X, Y, Z, T, U ) }.
% 3.64/4.01 (40519) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.64/4.01 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.64/4.01 (40520) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.64/4.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.64/4.01 (40521) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.64/4.01 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40522) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.64/4.01 W ) }.
% 3.64/4.01 (40523) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.64/4.01 }.
% 3.64/4.01 (40524) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.64/4.01 (40525) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.64/4.01 (40526) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.64/4.01 ( Y ), alpha5( X, Y ) }.
% 3.64/4.01 (40527) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.64/4.01 strictorderP( X ) }.
% 3.64/4.01 (40528) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.64/4.01 strictorderP( X ) }.
% 3.64/4.01 (40529) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.64/4.01 , Y, Z ) }.
% 3.64/4.01 (40530) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.64/4.01 (40531) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40532) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.64/4.01 alpha30( X, Y, Z, T ) }.
% 3.64/4.01 (40533) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.64/4.01 Z ) }.
% 3.64/4.01 (40534) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.64/4.01 alpha23( X, Y, Z ) }.
% 3.64/4.01 (40535) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.64/4.01 alpha37( X, Y, Z, T, U ) }.
% 3.64/4.01 (40536) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.64/4.01 X, Y, Z, T ) }.
% 3.64/4.01 (40537) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.64/4.01 ), alpha30( X, Y, Z, T ) }.
% 3.64/4.01 (40538) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.64/4.01 alpha43( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40539) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.64/4.01 alpha37( X, Y, Z, T, U ) }.
% 3.64/4.01 (40540) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.64/4.01 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.64/4.01 (40541) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.64/4.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.64/4.01 (40542) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.64/4.01 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40543) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.64/4.01 W ) }.
% 3.64/4.01 (40544) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.64/4.01 }.
% 3.64/4.01 (40545) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.64/4.01 (40546) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.64/4.01 (40547) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.64/4.01 ssItem( Y ), alpha6( X, Y ) }.
% 3.64/4.01 (40548) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.64/4.01 totalorderedP( X ) }.
% 3.64/4.01 (40549) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.64/4.01 totalorderedP( X ) }.
% 3.64/4.01 (40550) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.64/4.01 , Y, Z ) }.
% 3.64/4.01 (40551) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.64/4.01 (40552) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40553) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.64/4.01 alpha24( X, Y, Z, T ) }.
% 3.64/4.01 (40554) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.64/4.01 Z ) }.
% 3.64/4.01 (40555) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.64/4.01 alpha15( X, Y, Z ) }.
% 3.64/4.01 (40556) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.64/4.01 alpha31( X, Y, Z, T, U ) }.
% 3.64/4.01 (40557) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.64/4.01 X, Y, Z, T ) }.
% 3.64/4.01 (40558) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.64/4.01 ), alpha24( X, Y, Z, T ) }.
% 3.64/4.01 (40559) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.64/4.01 alpha38( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40560) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.64/4.01 alpha31( X, Y, Z, T, U ) }.
% 3.64/4.01 (40561) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.64/4.01 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.64/4.01 (40562) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.64/4.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.64/4.01 (40563) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.64/4.01 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40564) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.64/4.01 }.
% 3.64/4.01 (40565) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.64/4.01 ssItem( Y ), alpha7( X, Y ) }.
% 3.64/4.01 (40566) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.64/4.01 strictorderedP( X ) }.
% 3.64/4.01 (40567) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.64/4.01 strictorderedP( X ) }.
% 3.64/4.01 (40568) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.64/4.01 , Y, Z ) }.
% 3.64/4.01 (40569) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.64/4.01 (40570) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40571) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.64/4.01 alpha25( X, Y, Z, T ) }.
% 3.64/4.01 (40572) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.64/4.01 Z ) }.
% 3.64/4.01 (40573) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.64/4.01 alpha16( X, Y, Z ) }.
% 3.64/4.01 (40574) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.64/4.01 alpha32( X, Y, Z, T, U ) }.
% 3.64/4.01 (40575) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.64/4.01 X, Y, Z, T ) }.
% 3.64/4.01 (40576) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.64/4.01 ), alpha25( X, Y, Z, T ) }.
% 3.64/4.01 (40577) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.64/4.01 alpha39( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40578) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.64/4.01 alpha32( X, Y, Z, T, U ) }.
% 3.64/4.01 (40579) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.64/4.01 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.64/4.01 (40580) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.64/4.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.64/4.01 (40581) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.64/4.01 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40582) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.64/4.01 }.
% 3.64/4.01 (40583) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.64/4.01 ssItem( Y ), alpha8( X, Y ) }.
% 3.64/4.01 (40584) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.64/4.01 duplicatefreeP( X ) }.
% 3.64/4.01 (40585) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.64/4.01 duplicatefreeP( X ) }.
% 3.64/4.01 (40586) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.64/4.01 , Y, Z ) }.
% 3.64/4.01 (40587) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.64/4.01 (40588) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40589) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.64/4.01 alpha26( X, Y, Z, T ) }.
% 3.64/4.01 (40590) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.64/4.01 Z ) }.
% 3.64/4.01 (40591) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.64/4.01 alpha17( X, Y, Z ) }.
% 3.64/4.01 (40592) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.64/4.01 alpha33( X, Y, Z, T, U ) }.
% 3.64/4.01 (40593) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.64/4.01 X, Y, Z, T ) }.
% 3.64/4.01 (40594) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.64/4.01 ), alpha26( X, Y, Z, T ) }.
% 3.64/4.01 (40595) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.64/4.01 alpha40( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40596) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.64/4.01 alpha33( X, Y, Z, T, U ) }.
% 3.64/4.01 (40597) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.64/4.01 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.64/4.01 (40598) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.64/4.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.64/4.01 (40599) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.64/4.01 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40600) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.64/4.01 (40601) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.64/4.01 ( Y ), alpha9( X, Y ) }.
% 3.64/4.01 (40602) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.64/4.01 equalelemsP( X ) }.
% 3.64/4.01 (40603) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.64/4.01 equalelemsP( X ) }.
% 3.64/4.01 (40604) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.64/4.01 , Y, Z ) }.
% 3.64/4.01 (40605) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.64/4.01 (40606) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40607) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.64/4.01 alpha27( X, Y, Z, T ) }.
% 3.64/4.01 (40608) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.64/4.01 Z ) }.
% 3.64/4.01 (40609) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.64/4.01 alpha18( X, Y, Z ) }.
% 3.64/4.01 (40610) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.64/4.01 alpha34( X, Y, Z, T, U ) }.
% 3.64/4.01 (40611) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.64/4.01 X, Y, Z, T ) }.
% 3.64/4.01 (40612) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.64/4.01 ), alpha27( X, Y, Z, T ) }.
% 3.64/4.01 (40613) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.64/4.01 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.64/4.01 (40614) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.64/4.01 alpha34( X, Y, Z, T, U ) }.
% 3.64/4.01 (40615) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.64/4.01 (40616) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.64/4.01 , ! X = Y }.
% 3.64/4.01 (40617) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.64/4.01 , Y ) }.
% 3.64/4.01 (40618) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.64/4.01 Y, X ) ) }.
% 3.64/4.01 (40619) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.64/4.01 (40620) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.64/4.01 = X }.
% 3.64/4.01 (40621) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.64/4.01 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.64/4.01 (40622) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.64/4.01 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.64/4.01 (40623) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.64/4.01 ) }.
% 3.64/4.01 (40624) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 3.64/4.01 ) }.
% 3.64/4.01 (40625) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 3.64/4.01 skol43( X ) ) = X }.
% 3.64/4.01 (40626) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.64/4.01 Y, X ) }.
% 3.64/4.01 (40627) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.64/4.01 }.
% 3.64/4.01 (40628) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.64/4.01 X ) ) = Y }.
% 3.64/4.01 (40629) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.64/4.01 }.
% 3.64/4.01 (40630) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.64/4.01 X ) ) = X }.
% 3.64/4.01 (40631) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.64/4.01 , Y ) ) }.
% 3.64/4.01 (40632) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.64/4.01 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.64/4.01 (40633) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.64/4.01 (40634) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.64/4.01 , ! leq( Y, X ), X = Y }.
% 3.64/4.01 (40635) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.64/4.01 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.64/4.01 (40636) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.64/4.01 (40637) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.64/4.01 , leq( Y, X ) }.
% 3.64/4.01 (40638) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.64/4.01 , geq( X, Y ) }.
% 3.64/4.01 (40639) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.64/4.01 , ! lt( Y, X ) }.
% 3.64/4.01 (40640) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.64/4.01 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.64/4.01 (40641) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.64/4.01 , lt( Y, X ) }.
% 3.64/4.01 (40642) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.64/4.01 , gt( X, Y ) }.
% 3.64/4.01 (40643) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.64/4.01 (40644) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.64/4.01 (40645) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.64/4.01 (40646) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.64/4.01 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.64/4.01 (40647) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.64/4.01 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.64/4.01 (40648) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.64/4.01 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.64/4.01 (40649) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.64/4.01 (40650) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.64/4.01 (40651) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.64/4.01 (40652) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.64/4.01 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.64/4.01 (40653) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.64/4.01 (40654) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.64/4.01 (40655) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.64/4.01 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.64/4.01 (40656) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.64/4.01 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.64/4.01 , T ) }.
% 3.64/4.01 (40657) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.64/4.01 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.64/4.01 cons( Y, T ) ) }.
% 3.64/4.01 (40658) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.64/4.01 (40659) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.64/4.01 X }.
% 3.64/4.01 (40660) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.64/4.01 ) }.
% 3.64/4.01 (40661) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.64/4.01 (40662) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.64/4.01 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.64/4.01 (40663) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.64/4.01 (40664) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.64/4.01 (40665) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.64/4.01 (40666) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.64/4.01 }.
% 3.64/4.01 (40667) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.64/4.01 }.
% 3.64/4.01 (40668) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.64/4.01 (40669) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.64/4.01 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.64/4.01 (40670) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.64/4.01 (40671) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.64/4.01 }.
% 3.64/4.01 (40672) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.64/4.01 (40673) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.64/4.01 }.
% 3.64/4.01 (40674) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.64/4.01 }.
% 3.64/4.01 (40675) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.64/4.01 }.
% 3.64/4.01 (40676) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.64/4.01 (40677) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.64/4.01 }.
% 3.64/4.01 (40678) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.64/4.01 (40679) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.64/4.01 ) }.
% 3.64/4.01 (40680) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.64/4.01 (40681) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.64/4.01 ) }.
% 3.64/4.01 (40682) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.64/4.01 (40683) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.64/4.01 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.64/4.01 (40684) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.64/4.01 totalorderedP( cons( X, Y ) ) }.
% 3.64/4.01 (40685) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.64/4.01 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.64/4.01 (40686) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.64/4.01 (40687) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.64/4.01 (40688) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.64/4.01 }.
% 3.64/4.01 (40689) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.64/4.01 (40690) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.64/4.01 (40691) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.64/4.01 alpha19( X, Y ) }.
% 3.64/4.01 (40692) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.64/4.01 ) ) }.
% 3.64/4.01 (40693) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.64/4.01 (40694) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.64/4.01 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.64/4.01 (40695) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.64/4.01 strictorderedP( cons( X, Y ) ) }.
% 3.64/4.01 (40696) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.64/4.01 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.64/4.01 (40697) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.64/4.01 (40698) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.64/4.01 (40699) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.64/4.01 }.
% 3.64/4.01 (40700) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.64/4.01 (40701) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.64/4.01 (40702) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.64/4.01 alpha20( X, Y ) }.
% 3.64/4.01 (40703) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.64/4.01 ) ) }.
% 3.64/4.01 (40704) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.64/4.01 (40705) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.64/4.01 }.
% 3.64/4.01 (40706) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.64/4.01 (40707) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.64/4.01 ) }.
% 3.64/4.01 (40708) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.64/4.01 ) }.
% 3.64/4.01 (40709) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.64/4.01 ) }.
% 3.64/4.01 (40710) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.64/4.01 ) }.
% 3.64/4.01 (40711) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.64/4.01 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.64/4.01 (40712) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.64/4.01 X ) ) = X }.
% 3.64/4.01 (40713) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.64/4.01 (40714) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.64/4.01 (40715) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.64/4.01 = app( cons( Y, nil ), X ) }.
% 3.64/4.01 (40716) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.64/4.01 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.64/4.01 (40717) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.64/4.01 X, Y ), nil = Y }.
% 3.64/4.01 (40718) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.64/4.01 X, Y ), nil = X }.
% 3.64/4.01 (40719) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.64/4.01 nil = X, nil = app( X, Y ) }.
% 3.64/4.01 (40720) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.64/4.01 (40721) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.64/4.01 app( X, Y ) ) = hd( X ) }.
% 3.64/4.01 (40722) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.64/4.01 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.64/4.01 (40723) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.64/4.01 , ! geq( Y, X ), X = Y }.
% 3.64/4.01 (40724) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.64/4.01 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.64/4.01 (40725) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.64/4.01 (40726) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.64/4.01 (40727) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.64/4.01 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.64/4.01 (40728) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.64/4.01 , X = Y, lt( X, Y ) }.
% 3.64/4.01 (40729) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.64/4.01 , ! X = Y }.
% 3.64/4.01 (40730) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.64/4.01 , leq( X, Y ) }.
% 3.64/4.01 (40731) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.64/4.01 ( X, Y ), lt( X, Y ) }.
% 3.64/4.01 (40732) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.64/4.01 , ! gt( Y, X ) }.
% 3.64/4.01 (40733) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.64/4.01 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.64/4.01 (40734) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.64/4.01 (40735) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.64/4.02 (40736) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.64/4.02 (40737) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.64/4.02 (40738) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.64/4.02 (40739) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.64/4.02 (40740) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.64/4.02 (40741) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 3.64/4.02 (40742) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol50 ), skol53 ) =
% 3.64/4.02 skol51 }.
% 3.64/4.02 (40743) {G0,W2,D2,L1,V0,M1} { strictorderedP( skol50 ) }.
% 3.64/4.02 (40744) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( Y,
% 3.64/4.02 cons( X, nil ) ) = skol52, ! ssItem( Z ), ! ssList( T ), ! app( cons( Z,
% 3.64/4.02 nil ), T ) = skol50, ! lt( X, Z ) }.
% 3.64/4.02 (40745) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 3.64/4.02 X, nil ), Y ) = skol53, ! ssItem( Z ), ! ssList( T ), ! app( T, cons( Z,
% 3.64/4.02 nil ) ) = skol50, ! lt( Z, X ) }.
% 3.64/4.02 (40746) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 3.64/4.02 (40747) {G0,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), neq( skol49, nil
% 3.64/4.02 ) }.
% 3.64/4.02 (40748) {G0,W9,D2,L3,V0,M3} { alpha44( skol46, skol49 ), ! neq( skol46,
% 3.64/4.02 nil ), ! segmentP( skol49, skol46 ) }.
% 3.64/4.02 (40749) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 3.64/4.02 (40750) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), ! nil = X }.
% 3.64/4.02 (40751) {G0,W9,D2,L3,V2,M3} { ! nil = Y, nil = X, alpha44( X, Y ) }.
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Total Proof:
% 3.64/4.02
% 3.64/4.02 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 3.64/4.02 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.64/4.02 parent0: (40480) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 3.64/4.02 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.64/4.02 substitution0:
% 3.64/4.02 X := X
% 3.64/4.02 Y := Y
% 3.64/4.02 Z := Z
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 1 ==> 1
% 3.64/4.02 2 ==> 2
% 3.64/4.02 3 ==> 3
% 3.64/4.02 4 ==> 4
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 3.64/4.02 ), T ) = X, alpha2( X, Y, Z ) }.
% 3.64/4.02 parent0: (40483) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 3.64/4.02 , T ) = X, alpha2( X, Y, Z ) }.
% 3.64/4.02 substitution0:
% 3.64/4.02 X := X
% 3.64/4.02 Y := Y
% 3.64/4.02 Z := Z
% 3.64/4.02 T := T
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 1 ==> 1
% 3.64/4.02 2 ==> 2
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 3.64/4.02 neq( X, Y ), ! X = Y }.
% 3.64/4.02 parent0: (40616) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 3.64/4.02 neq( X, Y ), ! X = Y }.
% 3.64/4.02 substitution0:
% 3.64/4.02 X := X
% 3.64/4.02 Y := Y
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 1 ==> 1
% 3.64/4.02 2 ==> 2
% 3.64/4.02 3 ==> 3
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 3.64/4.02 = Y, neq( X, Y ) }.
% 3.64/4.02 parent0: (40617) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 3.64/4.02 Y, neq( X, Y ) }.
% 3.64/4.02 substitution0:
% 3.64/4.02 X := X
% 3.64/4.02 Y := Y
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 1 ==> 1
% 3.64/4.02 2 ==> 2
% 3.64/4.02 3 ==> 3
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.64/4.02 parent0: (40619) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.64/4.02 substitution0:
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 3.64/4.02 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 3.64/4.02 parent0: (40669) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 3.64/4.02 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 3.64/4.02 substitution0:
% 3.64/4.02 X := X
% 3.64/4.02 Y := Y
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 1 ==> 1
% 3.64/4.02 2 ==> 2
% 3.64/4.02 3 ==> 3
% 3.64/4.02 4 ==> 4
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil
% 3.64/4.02 ) }.
% 3.64/4.02 parent0: (40672) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil )
% 3.64/4.02 }.
% 3.64/4.02 substitution0:
% 3.64/4.02 X := X
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 1 ==> 1
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.64/4.02 parent0: (40734) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.64/4.02 substitution0:
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 3.64/4.02 parent0: (40735) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.64/4.02 substitution0:
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 eqswap: (42463) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.64/4.02 parent0[0]: (40738) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.64/4.02 substitution0:
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.64/4.02 parent0: (42463) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.64/4.02 substitution0:
% 3.64/4.02 end
% 3.64/4.02 permutation0:
% 3.64/4.02 0 ==> 0
% 3.64/4.02 end
% 3.64/4.02
% 3.64/4.02 eqswap: (42811) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.67/4.03 parent0[0]: (40739) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.67/4.03 parent0: (42811) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 3.67/4.03 parent0: (40740) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 3.67/4.03 parent0: (40741) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 paramod: (44437) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 3.67/4.03 ) = skol51 }.
% 3.67/4.03 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.67/4.03 parent1[0; 4]: (40742) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol50 ),
% 3.67/4.03 skol53 ) = skol51 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 paramod: (44438) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 3.67/4.03 ) = skol49 }.
% 3.67/4.03 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.67/4.03 parent1[0; 6]: (44437) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ),
% 3.67/4.03 skol53 ) = skol51 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (283) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52,
% 3.67/4.03 skol46 ), skol53 ) ==> skol49 }.
% 3.67/4.03 parent0: (44438) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 3.67/4.03 ) = skol49 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 paramod: (45416) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50 }.
% 3.67/4.03 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.67/4.03 parent1[0; 2]: (40746) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50
% 3.67/4.03 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 paramod: (45417) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 3.67/4.03 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.67/4.03 parent1[1; 3]: (45416) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50
% 3.67/4.03 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 eqswap: (45419) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 3.67/4.03 parent0[1]: (45417) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 eqswap: (45420) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 3.67/4.03 parent0[1]: (45419) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (287) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 3.67/4.03 skol46 ==> nil }.
% 3.67/4.03 parent0: (45420) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 1
% 3.67/4.03 1 ==> 0
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (288) {G0,W6,D2,L2,V0,M2} I { alpha44( skol46, skol49 ), neq(
% 3.67/4.03 skol49, nil ) }.
% 3.67/4.03 parent0: (40747) {G0,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), neq(
% 3.67/4.03 skol49, nil ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (289) {G0,W9,D2,L3,V0,M3} I { alpha44( skol46, skol49 ), ! neq
% 3.67/4.03 ( skol46, nil ), ! segmentP( skol49, skol46 ) }.
% 3.67/4.03 parent0: (40748) {G0,W9,D2,L3,V0,M3} { alpha44( skol46, skol49 ), ! neq(
% 3.67/4.03 skol46, nil ), ! segmentP( skol49, skol46 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 2 ==> 2
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (290) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 3.67/4.03 parent0: (40749) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 3.67/4.03 substitution0:
% 3.67/4.03 X := X
% 3.67/4.03 Y := Y
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (291) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), ! nil = X }.
% 3.67/4.03 parent0: (40750) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), ! nil = X }.
% 3.67/4.03 substitution0:
% 3.67/4.03 X := X
% 3.67/4.03 Y := Y
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (292) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, nil = X, alpha44( X,
% 3.67/4.03 Y ) }.
% 3.67/4.03 parent0: (40751) {G0,W9,D2,L3,V2,M3} { ! nil = Y, nil = X, alpha44( X, Y )
% 3.67/4.03 }.
% 3.67/4.03 substitution0:
% 3.67/4.03 X := X
% 3.67/4.03 Y := Y
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 2 ==> 2
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 eqswap: (47339) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 3.67/4.03 ), ! neq( X, Y ) }.
% 3.67/4.03 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 3.67/4.03 neq( X, Y ), ! X = Y }.
% 3.67/4.03 substitution0:
% 3.67/4.03 X := X
% 3.67/4.03 Y := Y
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 factor: (47340) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X, X
% 4.74/5.16 ) }.
% 4.74/5.16 parent0[1, 2]: (47339) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 4.74/5.16 ssList( Y ), ! neq( X, Y ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := X
% 4.74/5.16 Y := X
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 eqrefl: (47341) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 4.74/5.16 parent0[0]: (47340) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X
% 4.74/5.16 , X ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := X
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 subsumption: (327) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X,
% 4.74/5.16 X ) }.
% 4.74/5.16 parent0: (47341) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := X
% 4.74/5.16 end
% 4.74/5.16 permutation0:
% 4.74/5.16 0 ==> 0
% 4.74/5.16 1 ==> 1
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 eqswap: (47342) {G0,W9,D2,L3,V2,M3} { ! X = nil, nil = Y, alpha44( Y, X )
% 4.74/5.16 }.
% 4.74/5.16 parent0[0]: (292) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, nil = X, alpha44( X, Y
% 4.74/5.16 ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := Y
% 4.74/5.16 Y := X
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 eqrefl: (47345) {G0,W6,D2,L2,V1,M2} { nil = X, alpha44( X, nil ) }.
% 4.74/5.16 parent0[0]: (47342) {G0,W9,D2,L3,V2,M3} { ! X = nil, nil = Y, alpha44( Y,
% 4.74/5.16 X ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := nil
% 4.74/5.16 Y := X
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 subsumption: (377) {G1,W6,D2,L2,V1,M2} Q(292) { nil = X, alpha44( X, nil )
% 4.74/5.16 }.
% 4.74/5.16 parent0: (47345) {G0,W6,D2,L2,V1,M2} { nil = X, alpha44( X, nil ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := X
% 4.74/5.16 end
% 4.74/5.16 permutation0:
% 4.74/5.16 0 ==> 0
% 4.74/5.16 1 ==> 1
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 resolution: (47347) {G1,W3,D2,L1,V0,M1} { segmentP( skol46, nil ) }.
% 4.74/5.16 parent0[0]: (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil )
% 4.74/5.16 }.
% 4.74/5.16 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := skol46
% 4.74/5.16 end
% 4.74/5.16 substitution1:
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 subsumption: (484) {G1,W3,D2,L1,V0,M1} R(214,275) { segmentP( skol46, nil )
% 4.74/5.16 }.
% 4.74/5.16 parent0: (47347) {G1,W3,D2,L1,V0,M1} { segmentP( skol46, nil ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 end
% 4.74/5.16 permutation0:
% 4.74/5.16 0 ==> 0
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 resolution: (47348) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 4.74/5.16 parent0[0]: (327) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X
% 4.74/5.16 ) }.
% 4.74/5.16 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := nil
% 4.74/5.16 end
% 4.74/5.16 substitution1:
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 subsumption: (781) {G2,W3,D2,L1,V0,M1} R(327,161) { ! neq( nil, nil ) }.
% 4.74/5.16 parent0: (47348) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 end
% 4.74/5.16 permutation0:
% 4.74/5.16 0 ==> 0
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 eqswap: (47350) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha44( X, Y ) }.
% 4.74/5.16 parent0[1]: (291) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), ! nil = X }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := X
% 4.74/5.16 Y := Y
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 paramod: (47399) {G1,W9,D2,L3,V4,M3} { ! X = Y, ! alpha44( Z, Y ), !
% 4.74/5.16 alpha44( X, T ) }.
% 4.74/5.16 parent0[1]: (290) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 4.74/5.16 parent1[0; 3]: (47350) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha44( X, Y )
% 4.74/5.16 }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := Z
% 4.74/5.16 Y := Y
% 4.74/5.16 end
% 4.74/5.16 substitution1:
% 4.74/5.16 X := X
% 4.74/5.16 Y := T
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 eqswap: (47400) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha44( Z, Y ), !
% 4.74/5.16 alpha44( X, T ) }.
% 4.74/5.16 parent0[0]: (47399) {G1,W9,D2,L3,V4,M3} { ! X = Y, ! alpha44( Z, Y ), !
% 4.74/5.16 alpha44( X, T ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := X
% 4.74/5.16 Y := Y
% 4.74/5.16 Z := Z
% 4.74/5.16 T := T
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 subsumption: (967) {G1,W9,D2,L3,V4,M3} P(290,291) { ! alpha44( Y, Z ), ! X
% 4.74/5.16 = Y, ! alpha44( T, X ) }.
% 4.74/5.16 parent0: (47400) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha44( Z, Y ), !
% 4.74/5.16 alpha44( X, T ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := Y
% 4.74/5.16 Y := X
% 4.74/5.16 Z := T
% 4.74/5.16 T := Z
% 4.74/5.16 end
% 4.74/5.16 permutation0:
% 4.74/5.16 0 ==> 1
% 4.74/5.16 1 ==> 2
% 4.74/5.16 2 ==> 0
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 factor: (47404) {G1,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), ! Y = X }.
% 4.74/5.16 parent0[0, 2]: (967) {G1,W9,D2,L3,V4,M3} P(290,291) { ! alpha44( Y, Z ), !
% 4.74/5.16 X = Y, ! alpha44( T, X ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := Y
% 4.74/5.16 Y := X
% 4.74/5.16 Z := Y
% 4.74/5.16 T := X
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 subsumption: (1049) {G2,W6,D2,L2,V2,M2} F(967) { ! alpha44( X, Y ), ! Y = X
% 4.74/5.16 }.
% 4.74/5.16 parent0: (47404) {G1,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), ! Y = X }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := X
% 4.74/5.16 Y := Y
% 4.74/5.16 end
% 4.74/5.16 permutation0:
% 4.74/5.16 0 ==> 0
% 4.74/5.16 1 ==> 1
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 *** allocated 15000 integers for justifications
% 4.74/5.16 *** allocated 22500 integers for justifications
% 4.74/5.16 paramod: (47418) {G1,W5,D2,L2,V1,M2} { ssList( X ), alpha44( X, nil ) }.
% 4.74/5.16 parent0[0]: (377) {G1,W6,D2,L2,V1,M2} Q(292) { nil = X, alpha44( X, nil )
% 4.74/5.16 }.
% 4.74/5.16 parent1[0; 1]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 4.74/5.16 substitution0:
% 4.74/5.16 X := X
% 4.74/5.16 end
% 4.74/5.16 substitution1:
% 4.74/5.16 end
% 4.74/5.16
% 4.74/5.16 subsumption: (2485) {G2,W5,D2,L2,V1,M2} P(377,161) { ssList( X ), alpha44(
% 4.74/5.16 X, niCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------