TSTP Solution File: SWC293+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC293+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 19:35:36 EDT 2022
% Result : Theorem 2.47s 2.89s
% Output : Refutation 2.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC293+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.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 22:49:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.16 *** allocated 10000 integers for termspace/termends
% 0.73/1.16 *** allocated 10000 integers for clauses
% 0.73/1.16 *** allocated 10000 integers for justifications
% 0.73/1.16 Bliksem 1.12
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Automatic Strategy Selection
% 0.73/1.16
% 0.73/1.16 *** allocated 15000 integers for termspace/termends
% 0.73/1.16
% 0.73/1.16 Clauses:
% 0.73/1.16
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.16 { ssItem( skol1 ) }.
% 0.73/1.16 { ssItem( skol48 ) }.
% 0.73/1.16 { ! skol1 = skol48 }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.73/1.16 }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.73/1.16 Y ) ) }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.73/1.16 ( X, Y ) }.
% 0.73/1.16 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.73/1.16 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.73/1.16 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.73/1.16 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.73/1.16 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.73/1.16 ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.73/1.16 ) = X }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.73/1.16 ( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.73/1.16 }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.73/1.16 = X }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.73/1.16 ( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.73/1.16 }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.73/1.16 , Y ) ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.73/1.16 segmentP( X, Y ) }.
% 0.73/1.16 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.73/1.16 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.73/1.16 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.73/1.16 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.73/1.16 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.73/1.16 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.73/1.16 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.73/1.16 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.73/1.16 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.73/1.16 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.73/1.16 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.73/1.16 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.16 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.73/1.16 .
% 0.73/1.16 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.16 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.73/1.16 , U ) }.
% 0.73/1.16 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.16 ) ) = X, alpha12( Y, Z ) }.
% 0.73/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.73/1.16 W ) }.
% 0.73/1.16 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.16 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.73/1.16 { leq( X, Y ), alpha12( X, Y ) }.
% 0.73/1.16 { leq( Y, X ), alpha12( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.73/1.16 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.73/1.16 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.73/1.16 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.73/1.16 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.73/1.16 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.73/1.16 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.73/1.16 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.73/1.16 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.16 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.73/1.16 .
% 0.73/1.16 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.16 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.73/1.16 , U ) }.
% 0.73/1.16 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.16 ) ) = X, alpha13( Y, Z ) }.
% 0.73/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.73/1.16 W ) }.
% 0.73/1.16 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.16 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.73/1.16 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.73/1.16 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.73/1.16 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.73/1.16 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.73/1.16 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.73/1.16 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.73/1.16 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.73/1.16 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.73/1.16 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.73/1.16 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.16 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.73/1.16 .
% 0.73/1.16 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.16 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.73/1.16 , U ) }.
% 0.73/1.16 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.16 ) ) = X, alpha14( Y, Z ) }.
% 0.73/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.73/1.16 W ) }.
% 0.73/1.16 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.16 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.73/1.16 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.73/1.16 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.73/1.16 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.73/1.16 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.73/1.16 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.73/1.16 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.73/1.16 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.73/1.16 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.73/1.16 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.73/1.16 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.16 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.73/1.16 .
% 0.73/1.16 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.16 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.73/1.16 , U ) }.
% 0.73/1.16 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.16 ) ) = X, leq( Y, Z ) }.
% 0.73/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.73/1.16 W ) }.
% 0.73/1.16 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.16 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.73/1.16 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.73/1.16 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.73/1.16 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.73/1.16 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.73/1.16 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.16 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.73/1.16 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.73/1.16 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.16 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.73/1.16 .
% 0.73/1.16 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.16 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.73/1.16 , U ) }.
% 0.73/1.16 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.16 ) ) = X, lt( Y, Z ) }.
% 0.73/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.73/1.16 W ) }.
% 0.73/1.16 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.16 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.73/1.16 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.73/1.16 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.73/1.16 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.73/1.16 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.73/1.16 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.73/1.16 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.73/1.16 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.73/1.16 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.16 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.73/1.16 .
% 0.73/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.73/1.16 , U ) }.
% 0.73/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.16 ) ) = X, ! Y = Z }.
% 0.73/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.73/1.16 W ) }.
% 0.73/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.73/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.73/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.73/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.73/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.73/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.73/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.73/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.73/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.73/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.73/1.16 Z }.
% 0.73/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.73/1.16 { ssList( nil ) }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.16 ) = cons( T, Y ), Z = T }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.16 ) = cons( T, Y ), Y = X }.
% 0.73/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.73/1.16 { ! ssList( X ), nil = X, ssItem( skol49( Y ) ) }.
% 0.73/1.16 { ! ssList( X ), nil = X, cons( skol49( X ), skol43( X ) ) = X }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.73/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.73/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.73/1.16 ( cons( Z, Y ), X ) }.
% 0.73/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.73/1.16 , leq( X, Z ) }.
% 0.73/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.73/1.16 lt( X, Z ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.73/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.73/1.16 app( Y, Z ), X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.16 app( Y, Z ), X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.73/1.16 , X = Y, memberP( Z, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.73/1.16 ), X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.16 cons( Y, Z ), X ) }.
% 0.73/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.73/1.16 { ! singletonP( nil ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.73/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.73/1.16 = Y }.
% 0.73/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.73/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.73/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.73/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.73/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.73/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.73/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.73/1.16 Y }.
% 0.73/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.73/1.16 ( app( Z, X ), Y ) }.
% 0.73/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.73/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.73/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.73/1.16 Y }.
% 0.73/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.73/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.73/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.73/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.73/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.73/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.73/1.16 { cyclefreeP( nil ) }.
% 0.73/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.73/1.16 { totalorderP( nil ) }.
% 0.73/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.73/1.16 { strictorderP( nil ) }.
% 0.73/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.73/1.16 { totalorderedP( nil ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.16 alpha10( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.73/1.16 .
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.73/1.16 Y ) ) }.
% 0.73/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.73/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.73/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.73/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.73/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.73/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.73/1.16 { strictorderedP( nil ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.16 alpha11( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.73/1.16 .
% 0.73/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.73/1.16 , Y ) ) }.
% 0.73/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.73/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.73/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.73/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.73/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.73/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.73/1.16 { duplicatefreeP( nil ) }.
% 0.73/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.73/1.16 { equalelemsP( nil ) }.
% 0.73/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.73/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.73/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.73/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.73/1.16 ( Y ) = tl( X ), Y = X }.
% 0.73/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.73/1.16 , Z = X }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.73/1.16 , Z = X }.
% 0.73/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.73/1.16 ( X, app( Y, Z ) ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.73/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.73/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.73/1.16 Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.73/1.16 , geq( X, Z ) }.
% 0.73/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.73/1.16 , lt( X, Z ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.73/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.73/1.16 gt( X, Z ) }.
% 0.73/1.16 { ssList( skol46 ) }.
% 0.73/1.16 { ssList( skol50 ) }.
% 0.73/1.16 { ssList( skol51 ) }.
% 0.73/1.16 { ssList( skol52 ) }.
% 0.73/1.16 { skol50 = skol52 }.
% 0.73/1.16 { skol46 = skol51 }.
% 0.73/1.16 { ! strictorderedP( skol46 ) }.
% 0.73/1.16 { alpha44( skol51, skol52 ), nil = skol52 }.
% 0.73/1.16 { alpha44( skol51, skol52 ), nil = skol51 }.
% 0.73/1.16 { ! alpha44( X, Y ), ssItem( skol47( Z, T ) ) }.
% 0.73/1.16 { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y ) ) }.
% 0.73/1.16 { ! alpha44( X, Y ), cons( skol47( X, Y ), nil ) = X }.
% 0.73/1.16 { ! ssItem( Z ), ! cons( Z, nil ) = X, ! memberP( Y, Z ), alpha44( X, Y ) }
% 0.73/1.16 .
% 0.73/1.16
% 0.73/1.16 *** allocated 15000 integers for clauses
% 0.73/1.16 percentage equality = 0.130588, percentage horn = 0.756944
% 0.73/1.16 This is a problem with some equality
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Options Used:
% 0.73/1.16
% 0.73/1.16 useres = 1
% 0.73/1.16 useparamod = 1
% 0.73/1.16 useeqrefl = 1
% 0.73/1.16 useeqfact = 1
% 0.73/1.16 usefactor = 1
% 0.73/1.16 usesimpsplitting = 0
% 0.73/1.16 usesimpdemod = 5
% 0.73/1.16 usesimpres = 3
% 0.73/1.16
% 0.73/1.16 resimpinuse = 1000
% 0.73/1.16 resimpclauses = 20000
% 0.73/1.16 substype = eqrewr
% 0.73/1.16 backwardsubs = 1
% 0.73/1.16 selectoldest = 5
% 0.73/1.16
% 0.73/1.16 litorderings [0] = split
% 0.73/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.16
% 0.73/1.16 termordering = kbo
% 0.73/1.16
% 0.73/1.16 litapriori = 0
% 0.73/1.16 termapriori = 1
% 0.73/1.16 litaposteriori = 0
% 0.73/1.16 termaposteriori = 0
% 0.73/1.16 demodaposteriori = 0
% 0.73/1.16 ordereqreflfact = 0
% 0.73/1.16
% 0.73/1.16 litselect = negord
% 0.73/1.16
% 0.73/1.16 maxweight = 15
% 0.73/1.16 maxdepth = 30000
% 0.73/1.16 maxlength = 115
% 0.73/1.16 maxnrvars = 195
% 0.73/1.16 excuselevel = 1
% 0.73/1.16 increasemaxweight = 1
% 0.73/1.16
% 0.73/1.16 maxselected = 10000000
% 0.73/1.16 maxnrclauses = 10000000
% 0.73/1.16
% 0.73/1.16 showgenerated = 0
% 0.73/1.16 showkept = 0
% 0.73/1.16 showselected = 0
% 0.73/1.16 showdeleted = 0
% 0.73/1.16 showresimp = 1
% 0.73/1.16 showstatus = 2000
% 0.73/1.16
% 0.73/1.16 prologoutput = 0
% 0.73/1.16 nrgoals = 5000000
% 0.73/1.16 totalproof = 1
% 0.73/1.16
% 0.73/1.16 Symbols occurring in the translation:
% 0.73/1.16
% 0.73/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.16 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.16 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.73/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.16 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.16 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.73/1.16 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.16 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.73/1.16 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.73/1.16 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.73/1.16 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.78/1.70 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.78/1.70 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.78/1.70 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.78/1.70 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.78/1.70 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.78/1.70 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.78/1.70 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.78/1.70 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.78/1.70 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.78/1.70 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.78/1.70 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.78/1.70 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.78/1.70 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.78/1.70 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.78/1.70 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.78/1.70 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.78/1.70 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.78/1.70 alpha1 [65, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.78/1.70 alpha2 [66, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.78/1.70 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.78/1.70 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.78/1.70 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.78/1.70 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.78/1.70 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.78/1.70 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.78/1.70 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.78/1.70 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.78/1.70 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.78/1.70 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.78/1.70 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.78/1.70 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.78/1.70 alpha15 [79, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.78/1.70 alpha16 [80, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.78/1.70 alpha17 [81, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.78/1.70 alpha18 [82, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.78/1.70 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.78/1.70 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.78/1.70 alpha21 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.78/1.70 alpha22 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.78/1.70 alpha23 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.78/1.70 alpha24 [88, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.78/1.70 alpha25 [89, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.78/1.70 alpha26 [90, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.78/1.70 alpha27 [91, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.78/1.70 alpha28 [92, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.78/1.70 alpha29 [93, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.78/1.70 alpha30 [94, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.78/1.70 alpha31 [95, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.78/1.70 alpha32 [96, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.78/1.70 alpha33 [97, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.78/1.70 alpha34 [98, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.78/1.70 alpha35 [99, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.78/1.70 alpha36 [100, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.78/1.70 alpha37 [101, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.78/1.70 alpha38 [102, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.78/1.70 alpha39 [103, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.78/1.70 alpha40 [104, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.78/1.70 alpha41 [105, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.78/1.70 alpha42 [106, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.78/1.70 alpha43 [107, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.78/1.70 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.78/1.70 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.78/1.70 skol2 [110, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.78/1.70 skol3 [111, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.78/1.70 skol4 [112, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.78/1.70 skol5 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.78/1.70 skol6 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.78/1.70 skol7 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.78/1.70 skol8 [116, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.78/1.70 skol9 [117, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.78/1.70 skol10 [118, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.78/1.70 skol11 [119, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.78/1.70 skol12 [120, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.78/1.70 skol13 [121, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.78/1.70 skol14 [122, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.78/1.70 skol15 [123, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.78/1.70 skol16 [124, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.78/1.70 skol17 [125, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.78/1.70 skol18 [126, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.78/1.70 skol19 [127, 1] (w:1, o:35, a:1, s:1, b:1),
% 2.47/2.89 skol20 [128, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.47/2.89 skol21 [129, 3] (w:1, o:119, a:1, s:1, b:1),
% 2.47/2.89 skol22 [130, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.47/2.89 skol23 [131, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.47/2.89 skol24 [132, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.47/2.89 skol25 [133, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.47/2.89 skol26 [134, 3] (w:1, o:120, a:1, s:1, b:1),
% 2.47/2.89 skol27 [135, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.47/2.89 skol28 [136, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.47/2.89 skol29 [137, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.47/2.89 skol30 [138, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.47/2.89 skol31 [139, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.47/2.89 skol32 [140, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.47/2.89 skol33 [141, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.47/2.89 skol34 [142, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.47/2.89 skol35 [143, 2] (w:1, o:109, a:1, s:1, b:1),
% 2.47/2.89 skol36 [144, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.47/2.89 skol37 [145, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.47/2.89 skol38 [146, 5] (w:1, o:154, a:1, s:1, b:1),
% 2.47/2.89 skol39 [147, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.47/2.89 skol40 [148, 2] (w:1, o:101, a:1, s:1, b:1),
% 2.47/2.89 skol41 [149, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.47/2.89 skol42 [150, 4] (w:1, o:141, a:1, s:1, b:1),
% 2.47/2.89 skol43 [151, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.47/2.89 skol44 [152, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.47/2.89 skol45 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.47/2.89 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.47/2.89 skol47 [155, 2] (w:1, o:102, a:1, s:1, b:1),
% 2.47/2.89 skol48 [156, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.47/2.89 skol49 [157, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.47/2.89 skol50 [158, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.47/2.89 skol51 [159, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.47/2.89 skol52 [160, 0] (w:1, o:18, a:1, s:1, b:1).
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Starting Search:
% 2.47/2.89
% 2.47/2.89 *** allocated 22500 integers for clauses
% 2.47/2.89 *** allocated 33750 integers for clauses
% 2.47/2.89 *** allocated 50625 integers for clauses
% 2.47/2.89 *** allocated 22500 integers for termspace/termends
% 2.47/2.89 *** allocated 75937 integers for clauses
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 33750 integers for termspace/termends
% 2.47/2.89 *** allocated 113905 integers for clauses
% 2.47/2.89 *** allocated 50625 integers for termspace/termends
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 3737
% 2.47/2.89 Kept: 2004
% 2.47/2.89 Inuse: 211
% 2.47/2.89 Deleted: 8
% 2.47/2.89 Deletedinuse: 2
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 170857 integers for clauses
% 2.47/2.89 *** allocated 75937 integers for termspace/termends
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 256285 integers for clauses
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 6747
% 2.47/2.89 Kept: 4004
% 2.47/2.89 Inuse: 379
% 2.47/2.89 Deleted: 11
% 2.47/2.89 Deletedinuse: 5
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 113905 integers for termspace/termends
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 384427 integers for clauses
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 10267
% 2.47/2.89 Kept: 6025
% 2.47/2.89 Inuse: 490
% 2.47/2.89 Deleted: 21
% 2.47/2.89 Deletedinuse: 15
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 170857 integers for termspace/termends
% 2.47/2.89 *** allocated 576640 integers for clauses
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 13336
% 2.47/2.89 Kept: 8043
% 2.47/2.89 Inuse: 617
% 2.47/2.89 Deleted: 23
% 2.47/2.89 Deletedinuse: 17
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 16817
% 2.47/2.89 Kept: 10115
% 2.47/2.89 Inuse: 680
% 2.47/2.89 Deleted: 23
% 2.47/2.89 Deletedinuse: 17
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 256285 integers for termspace/termends
% 2.47/2.89 *** allocated 864960 integers for clauses
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 21422
% 2.47/2.89 Kept: 12124
% 2.47/2.89 Inuse: 755
% 2.47/2.89 Deleted: 27
% 2.47/2.89 Deletedinuse: 21
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 29944
% 2.47/2.89 Kept: 14374
% 2.47/2.89 Inuse: 785
% 2.47/2.89 Deleted: 35
% 2.47/2.89 Deletedinuse: 29
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 384427 integers for termspace/termends
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 36275
% 2.47/2.89 Kept: 16421
% 2.47/2.89 Inuse: 838
% 2.47/2.89 Deleted: 57
% 2.47/2.89 Deletedinuse: 49
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 1297440 integers for clauses
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 43648
% 2.47/2.89 Kept: 18513
% 2.47/2.89 Inuse: 897
% 2.47/2.89 Deleted: 71
% 2.47/2.89 Deletedinuse: 57
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying clauses:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 54650
% 2.47/2.89 Kept: 20758
% 2.47/2.89 Inuse: 932
% 2.47/2.89 Deleted: 2607
% 2.47/2.89 Deletedinuse: 57
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 576640 integers for termspace/termends
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 64559
% 2.47/2.89 Kept: 22763
% 2.47/2.89 Inuse: 969
% 2.47/2.89 Deleted: 2616
% 2.47/2.89 Deletedinuse: 63
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 71432
% 2.47/2.89 Kept: 24794
% 2.47/2.89 Inuse: 1013
% 2.47/2.89 Deleted: 2617
% 2.47/2.89 Deletedinuse: 63
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 77349
% 2.47/2.89 Kept: 26833
% 2.47/2.89 Inuse: 1045
% 2.47/2.89 Deleted: 2617
% 2.47/2.89 Deletedinuse: 63
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 *** allocated 1946160 integers for clauses
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 86763
% 2.47/2.89 Kept: 28937
% 2.47/2.89 Inuse: 1063
% 2.47/2.89 Deleted: 2618
% 2.47/2.89 Deletedinuse: 64
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 95986
% 2.47/2.89 Kept: 31032
% 2.47/2.89 Inuse: 1088
% 2.47/2.89 Deleted: 2619
% 2.47/2.89 Deletedinuse: 65
% 2.47/2.89
% 2.47/2.89 *** allocated 864960 integers for termspace/termends
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Intermediate Status:
% 2.47/2.89 Generated: 107664
% 2.47/2.89 Kept: 33327
% 2.47/2.89 Inuse: 1118
% 2.47/2.89 Deleted: 2628
% 2.47/2.89 Deletedinuse: 69
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89 Resimplifying inuse:
% 2.47/2.89 Done
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Bliksems!, er is een bewijs:
% 2.47/2.89 % SZS status Theorem
% 2.47/2.89 % SZS output start Refutation
% 2.47/2.89
% 2.47/2.89 (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.47/2.89 skol4( Y ) ) }.
% 2.47/2.89 (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X ), cons( skol4
% 2.47/2.89 ( X ), nil ) ==> X }.
% 2.47/2.89 (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 2.47/2.89 ) = X, singletonP( X ) }.
% 2.47/2.89 (109) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.47/2.89 strictorderedP( X ) }.
% 2.47/2.89 (111) {G0,W7,D3,L2,V4,M2} I { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.47/2.89 (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 2.47/2.89 , X ) ) }.
% 2.47/2.89 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.47/2.89 (234) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), strictorderedP( cons( X, nil )
% 2.47/2.89 ) }.
% 2.47/2.89 (235) {G0,W2,D2,L1,V0,M1} I { strictorderedP( nil ) }.
% 2.47/2.89 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.47/2.89 (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.47/2.89 (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.47/2.89 (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 2.47/2.89 (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==> nil, alpha44
% 2.47/2.89 ( skol46, skol50 ) }.
% 2.47/2.89 (284) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem( skol47( Z, T ) )
% 2.47/2.89 }.
% 2.47/2.89 (286) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47( X, Y ), nil
% 2.47/2.89 ) ==> X }.
% 2.47/2.89 (871) {G2,W3,D2,L1,V0,M1} P(283,281);r(235) { alpha44( skol46, skol50 ) }.
% 2.47/2.89 (6476) {G1,W4,D3,L1,V0,M1} R(109,275);r(281) { ! alpha7( skol46, skol29(
% 2.47/2.89 skol46 ) ) }.
% 2.47/2.89 (6532) {G2,W4,D3,L1,V2,M1} R(111,6476) { ssItem( skol30( X, Y ) ) }.
% 2.47/2.89 (13010) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), ! ssItem( Y ), !
% 2.47/2.89 ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP( cons( Y, X ) )
% 2.47/2.89 }.
% 2.47/2.89 (13027) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList( cons( X,
% 2.47/2.89 nil ) ) }.
% 2.47/2.89 (13055) {G2,W6,D3,L2,V1,M2} Q(13010);f;r(161) { ! ssItem( X ), singletonP(
% 2.47/2.89 cons( X, nil ) ) }.
% 2.47/2.89 (13123) {G3,W5,D3,L2,V2,M2} R(13055,11);r(13027) { ! ssItem( X ), ssItem(
% 2.47/2.89 skol4( Y ) ) }.
% 2.47/2.89 (13316) {G4,W3,D3,L1,V1,M1} R(13123,6532) { ssItem( skol4( X ) ) }.
% 2.47/2.89 (13434) {G5,W5,D4,L1,V1,M1} R(13316,234) { strictorderedP( cons( skol4( X )
% 2.47/2.89 , nil ) ) }.
% 2.47/2.89 (18591) {G6,W6,D2,L3,V1,M3} P(12,13434) { strictorderedP( X ), ! ssList( X
% 2.47/2.89 ), ! singletonP( X ) }.
% 2.47/2.89 (21654) {G7,W2,D2,L1,V0,M1} R(18591,275);r(281) { ! singletonP( skol46 )
% 2.47/2.89 }.
% 2.47/2.89 (34549) {G3,W4,D3,L1,V2,M1} R(284,871) { ssItem( skol47( X, Y ) ) }.
% 2.47/2.89 (34795) {G4,W5,D2,L2,V2,M2} P(286,13055);r(34549) { singletonP( X ), !
% 2.47/2.89 alpha44( X, Y ) }.
% 2.47/2.89 (34878) {G8,W0,D0,L0,V0,M0} R(34795,871);r(21654) { }.
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 % SZS output end Refutation
% 2.47/2.89 found a proof!
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Unprocessed initial clauses:
% 2.47/2.89
% 2.47/2.89 (34880) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.47/2.89 , ! X = Y }.
% 2.47/2.89 (34881) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (34882) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.47/2.89 (34883) {G0,W2,D2,L1,V0,M1} { ssItem( skol48 ) }.
% 2.47/2.89 (34884) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol48 }.
% 2.47/2.89 (34885) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.47/2.89 , Y ), ssList( skol2( Z, T ) ) }.
% 2.47/2.89 (34886) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.47/2.89 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.47/2.89 (34887) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.89 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.47/2.89 (34888) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.47/2.89 ) ) }.
% 2.47/2.89 (34889) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.47/2.89 ( X, Y, Z ) ) ) = X }.
% 2.47/2.89 (34890) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.47/2.89 , alpha1( X, Y, Z ) }.
% 2.47/2.89 (34891) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.47/2.89 skol4( Y ) ) }.
% 2.47/2.89 (34892) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.47/2.89 skol4( X ), nil ) = X }.
% 2.47/2.89 (34893) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.47/2.89 nil ) = X, singletonP( X ) }.
% 2.47/2.89 (34894) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.47/2.89 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.47/2.89 (34895) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.47/2.89 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.47/2.89 (34896) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.47/2.89 (34897) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.47/2.89 , Y ), ssList( skol6( Z, T ) ) }.
% 2.47/2.89 (34898) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.47/2.89 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.47/2.89 (34899) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.47/2.89 (34900) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.47/2.89 , Y ), ssList( skol7( Z, T ) ) }.
% 2.47/2.89 (34901) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.47/2.89 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.47/2.89 (34902) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.47/2.89 (34903) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.47/2.89 ) ) }.
% 2.47/2.89 (34904) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.47/2.89 skol8( X, Y, Z ) ) = X }.
% 2.47/2.89 (34905) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.47/2.89 , alpha2( X, Y, Z ) }.
% 2.47/2.89 (34906) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.47/2.89 Y ), alpha3( X, Y ) }.
% 2.47/2.89 (34907) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.47/2.89 cyclefreeP( X ) }.
% 2.47/2.89 (34908) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.47/2.89 cyclefreeP( X ) }.
% 2.47/2.89 (34909) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.47/2.89 , Y, Z ) }.
% 2.47/2.89 (34910) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.47/2.89 (34911) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (34912) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.47/2.89 alpha28( X, Y, Z, T ) }.
% 2.47/2.89 (34913) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.47/2.89 Z ) }.
% 2.47/2.89 (34914) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.47/2.89 alpha21( X, Y, Z ) }.
% 2.47/2.89 (34915) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.89 alpha35( X, Y, Z, T, U ) }.
% 2.47/2.89 (34916) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.47/2.89 X, Y, Z, T ) }.
% 2.47/2.89 (34917) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.47/2.89 ), alpha28( X, Y, Z, T ) }.
% 2.47/2.89 (34918) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.89 alpha41( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (34919) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.47/2.89 alpha35( X, Y, Z, T, U ) }.
% 2.47/2.89 (34920) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.47/2.89 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.47/2.89 (34921) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.47/2.89 (34922) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.89 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (34923) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.47/2.89 W ) }.
% 2.47/2.89 (34924) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.47/2.89 X ) }.
% 2.47/2.89 (34925) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.47/2.89 (34926) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.47/2.89 (34927) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.47/2.89 ( Y ), alpha4( X, Y ) }.
% 2.47/2.89 (34928) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.47/2.89 totalorderP( X ) }.
% 2.47/2.89 (34929) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.47/2.89 totalorderP( X ) }.
% 2.47/2.89 (34930) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.47/2.89 , Y, Z ) }.
% 2.47/2.89 (34931) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.47/2.89 (34932) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (34933) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.47/2.89 alpha29( X, Y, Z, T ) }.
% 2.47/2.89 (34934) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.47/2.89 Z ) }.
% 2.47/2.89 (34935) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.47/2.89 alpha22( X, Y, Z ) }.
% 2.47/2.89 (34936) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.89 alpha36( X, Y, Z, T, U ) }.
% 2.47/2.89 (34937) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.47/2.89 X, Y, Z, T ) }.
% 2.47/2.89 (34938) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.47/2.89 ), alpha29( X, Y, Z, T ) }.
% 2.47/2.89 (34939) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.89 alpha42( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (34940) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.47/2.89 alpha36( X, Y, Z, T, U ) }.
% 2.47/2.89 (34941) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.47/2.89 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.47/2.89 (34942) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.47/2.89 (34943) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.89 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (34944) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.47/2.89 W ) }.
% 2.47/2.89 (34945) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.47/2.89 }.
% 2.47/2.89 (34946) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.47/2.89 (34947) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.47/2.89 (34948) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.47/2.89 ( Y ), alpha5( X, Y ) }.
% 2.47/2.89 (34949) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.47/2.89 strictorderP( X ) }.
% 2.47/2.89 (34950) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.47/2.89 strictorderP( X ) }.
% 2.47/2.89 (34951) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.47/2.89 , Y, Z ) }.
% 2.47/2.89 (34952) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.47/2.89 (34953) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (34954) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.47/2.89 alpha30( X, Y, Z, T ) }.
% 2.47/2.89 (34955) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.47/2.89 Z ) }.
% 2.47/2.89 (34956) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.47/2.89 alpha23( X, Y, Z ) }.
% 2.47/2.89 (34957) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.89 alpha37( X, Y, Z, T, U ) }.
% 2.47/2.89 (34958) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.47/2.89 X, Y, Z, T ) }.
% 2.47/2.89 (34959) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.47/2.89 ), alpha30( X, Y, Z, T ) }.
% 2.47/2.89 (34960) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.89 alpha43( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (34961) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.47/2.89 alpha37( X, Y, Z, T, U ) }.
% 2.47/2.89 (34962) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.47/2.89 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.47/2.89 (34963) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.47/2.89 (34964) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.89 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (34965) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.47/2.89 W ) }.
% 2.47/2.89 (34966) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.47/2.89 }.
% 2.47/2.89 (34967) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.47/2.89 (34968) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.47/2.89 (34969) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.47/2.89 ssItem( Y ), alpha6( X, Y ) }.
% 2.47/2.89 (34970) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.47/2.89 totalorderedP( X ) }.
% 2.47/2.89 (34971) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.47/2.89 totalorderedP( X ) }.
% 2.47/2.89 (34972) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.47/2.89 , Y, Z ) }.
% 2.47/2.89 (34973) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.47/2.89 (34974) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (34975) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.47/2.89 alpha24( X, Y, Z, T ) }.
% 2.47/2.89 (34976) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.47/2.89 Z ) }.
% 2.47/2.89 (34977) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.47/2.89 alpha15( X, Y, Z ) }.
% 2.47/2.89 (34978) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.89 alpha31( X, Y, Z, T, U ) }.
% 2.47/2.89 (34979) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.47/2.89 X, Y, Z, T ) }.
% 2.47/2.89 (34980) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.47/2.89 ), alpha24( X, Y, Z, T ) }.
% 2.47/2.89 (34981) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.89 alpha38( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (34982) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.47/2.89 alpha31( X, Y, Z, T, U ) }.
% 2.47/2.89 (34983) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.47/2.89 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.47/2.89 (34984) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.47/2.89 (34985) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.89 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (34986) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.47/2.89 }.
% 2.47/2.89 (34987) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.47/2.89 ssItem( Y ), alpha7( X, Y ) }.
% 2.47/2.89 (34988) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.47/2.89 strictorderedP( X ) }.
% 2.47/2.89 (34989) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.47/2.89 strictorderedP( X ) }.
% 2.47/2.89 (34990) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.47/2.89 , Y, Z ) }.
% 2.47/2.89 (34991) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.47/2.89 (34992) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (34993) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.47/2.89 alpha25( X, Y, Z, T ) }.
% 2.47/2.89 (34994) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.47/2.89 Z ) }.
% 2.47/2.89 (34995) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.47/2.89 alpha16( X, Y, Z ) }.
% 2.47/2.89 (34996) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.89 alpha32( X, Y, Z, T, U ) }.
% 2.47/2.89 (34997) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.47/2.89 X, Y, Z, T ) }.
% 2.47/2.89 (34998) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.47/2.89 ), alpha25( X, Y, Z, T ) }.
% 2.47/2.89 (34999) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.89 alpha39( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (35000) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.47/2.89 alpha32( X, Y, Z, T, U ) }.
% 2.47/2.89 (35001) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.47/2.89 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.47/2.89 (35002) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.47/2.89 (35003) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.89 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (35004) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.47/2.89 }.
% 2.47/2.89 (35005) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.47/2.89 ssItem( Y ), alpha8( X, Y ) }.
% 2.47/2.89 (35006) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.47/2.89 duplicatefreeP( X ) }.
% 2.47/2.89 (35007) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.47/2.89 duplicatefreeP( X ) }.
% 2.47/2.89 (35008) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.47/2.89 , Y, Z ) }.
% 2.47/2.89 (35009) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.47/2.89 (35010) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (35011) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.47/2.89 alpha26( X, Y, Z, T ) }.
% 2.47/2.89 (35012) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.47/2.89 Z ) }.
% 2.47/2.89 (35013) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.47/2.89 alpha17( X, Y, Z ) }.
% 2.47/2.89 (35014) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.89 alpha33( X, Y, Z, T, U ) }.
% 2.47/2.89 (35015) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.47/2.89 X, Y, Z, T ) }.
% 2.47/2.89 (35016) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.47/2.89 ), alpha26( X, Y, Z, T ) }.
% 2.47/2.89 (35017) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.89 alpha40( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (35018) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.47/2.89 alpha33( X, Y, Z, T, U ) }.
% 2.47/2.89 (35019) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.47/2.89 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.47/2.89 (35020) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.47/2.89 (35021) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.89 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (35022) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.47/2.89 (35023) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.47/2.89 ( Y ), alpha9( X, Y ) }.
% 2.47/2.89 (35024) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.47/2.89 equalelemsP( X ) }.
% 2.47/2.89 (35025) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.47/2.89 equalelemsP( X ) }.
% 2.47/2.89 (35026) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.47/2.89 , Y, Z ) }.
% 2.47/2.89 (35027) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.47/2.89 (35028) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (35029) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.47/2.89 alpha27( X, Y, Z, T ) }.
% 2.47/2.89 (35030) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.47/2.89 Z ) }.
% 2.47/2.89 (35031) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.47/2.89 alpha18( X, Y, Z ) }.
% 2.47/2.89 (35032) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.89 alpha34( X, Y, Z, T, U ) }.
% 2.47/2.89 (35033) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.47/2.89 X, Y, Z, T ) }.
% 2.47/2.89 (35034) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.47/2.89 ), alpha27( X, Y, Z, T ) }.
% 2.47/2.89 (35035) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.47/2.89 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.47/2.89 (35036) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.47/2.89 alpha34( X, Y, Z, T, U ) }.
% 2.47/2.89 (35037) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.47/2.89 (35038) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.47/2.89 , ! X = Y }.
% 2.47/2.89 (35039) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.47/2.89 , Y ) }.
% 2.47/2.89 (35040) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.47/2.89 Y, X ) ) }.
% 2.47/2.89 (35041) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.47/2.89 (35042) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.47/2.89 = X }.
% 2.47/2.89 (35043) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.47/2.89 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.47/2.89 (35044) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.47/2.89 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.47/2.89 (35045) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.47/2.89 ) }.
% 2.47/2.89 (35046) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol49( Y )
% 2.47/2.89 ) }.
% 2.47/2.89 (35047) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol49( X ),
% 2.47/2.89 skol43( X ) ) = X }.
% 2.47/2.89 (35048) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.47/2.89 Y, X ) }.
% 2.47/2.89 (35049) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.47/2.89 }.
% 2.47/2.89 (35050) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.47/2.89 X ) ) = Y }.
% 2.47/2.89 (35051) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.47/2.89 }.
% 2.47/2.89 (35052) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.47/2.89 X ) ) = X }.
% 2.47/2.89 (35053) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.47/2.89 , Y ) ) }.
% 2.47/2.89 (35054) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.47/2.89 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.47/2.89 (35055) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.47/2.89 (35056) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.47/2.89 , ! leq( Y, X ), X = Y }.
% 2.47/2.89 (35057) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.89 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.47/2.89 (35058) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.47/2.89 (35059) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.47/2.89 , leq( Y, X ) }.
% 2.47/2.89 (35060) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.47/2.89 , geq( X, Y ) }.
% 2.47/2.89 (35061) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.47/2.89 , ! lt( Y, X ) }.
% 2.47/2.89 (35062) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.89 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.47/2.89 (35063) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.47/2.89 , lt( Y, X ) }.
% 2.47/2.89 (35064) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.47/2.89 , gt( X, Y ) }.
% 2.47/2.89 (35065) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.47/2.89 (35066) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.47/2.89 (35067) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.47/2.89 (35068) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.89 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.47/2.89 (35069) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.89 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.47/2.89 (35070) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.89 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.47/2.89 (35071) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.47/2.89 (35072) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.47/2.89 (35073) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.47/2.89 (35074) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.47/2.89 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.47/2.89 (35075) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.47/2.89 (35076) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.47/2.89 (35077) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.89 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.47/2.89 (35078) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.89 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.47/2.89 , T ) }.
% 2.47/2.89 (35079) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.89 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.47/2.89 cons( Y, T ) ) }.
% 2.47/2.89 (35080) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.47/2.89 (35081) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.47/2.89 X }.
% 2.47/2.89 (35082) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.47/2.89 ) }.
% 2.47/2.89 (35083) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.47/2.89 (35084) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.47/2.89 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.47/2.89 (35085) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.47/2.89 (35086) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.47/2.89 (35087) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.47/2.89 (35088) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.47/2.89 }.
% 2.47/2.89 (35089) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.47/2.89 }.
% 2.47/2.89 (35090) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.47/2.89 (35091) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.47/2.89 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.47/2.89 (35092) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.47/2.89 (35093) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.47/2.89 }.
% 2.47/2.89 (35094) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.47/2.89 (35095) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.47/2.89 }.
% 2.47/2.89 (35096) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.47/2.89 }.
% 2.47/2.89 (35097) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.47/2.89 }.
% 2.47/2.89 (35098) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.47/2.89 (35099) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.47/2.89 }.
% 2.47/2.89 (35100) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.47/2.89 (35101) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.47/2.89 ) }.
% 2.47/2.89 (35102) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.47/2.89 (35103) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.47/2.89 ) }.
% 2.47/2.89 (35104) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.47/2.89 (35105) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.47/2.89 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.47/2.89 (35106) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.47/2.89 totalorderedP( cons( X, Y ) ) }.
% 2.47/2.89 (35107) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.47/2.89 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.47/2.89 (35108) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.47/2.89 (35109) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.47/2.89 (35110) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.47/2.89 }.
% 2.47/2.89 (35111) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.47/2.89 (35112) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.47/2.89 (35113) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.47/2.89 alpha19( X, Y ) }.
% 2.47/2.89 (35114) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.47/2.89 ) ) }.
% 2.47/2.89 (35115) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.47/2.89 (35116) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.47/2.89 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.47/2.89 (35117) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.47/2.89 strictorderedP( cons( X, Y ) ) }.
% 2.47/2.89 (35118) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.47/2.89 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.47/2.89 (35119) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.47/2.89 (35120) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.47/2.89 (35121) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.47/2.89 }.
% 2.47/2.89 (35122) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.47/2.89 (35123) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.47/2.89 (35124) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.47/2.89 alpha20( X, Y ) }.
% 2.47/2.89 (35125) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.47/2.89 ) ) }.
% 2.47/2.89 (35126) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.47/2.89 (35127) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.47/2.89 }.
% 2.47/2.89 (35128) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.47/2.89 (35129) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.47/2.89 ) }.
% 2.47/2.89 (35130) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.47/2.89 ) }.
% 2.47/2.89 (35131) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.47/2.89 ) }.
% 2.47/2.89 (35132) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.47/2.89 ) }.
% 2.47/2.89 (35133) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.47/2.89 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.47/2.89 (35134) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.47/2.89 X ) ) = X }.
% 2.47/2.89 (35135) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.47/2.89 (35136) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.47/2.89 (35137) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.47/2.89 = app( cons( Y, nil ), X ) }.
% 2.47/2.89 (35138) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.89 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.47/2.89 (35139) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.47/2.89 X, Y ), nil = Y }.
% 2.47/2.89 (35140) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.47/2.89 X, Y ), nil = X }.
% 2.47/2.89 (35141) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.47/2.89 nil = X, nil = app( X, Y ) }.
% 2.47/2.89 (35142) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.47/2.89 (35143) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.47/2.89 app( X, Y ) ) = hd( X ) }.
% 2.47/2.89 (35144) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.47/2.89 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.47/2.89 (35145) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.47/2.89 , ! geq( Y, X ), X = Y }.
% 2.47/2.89 (35146) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.89 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.47/2.89 (35147) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.47/2.89 (35148) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.47/2.89 (35149) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.89 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.47/2.89 (35150) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.47/2.89 , X = Y, lt( X, Y ) }.
% 2.47/2.89 (35151) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.47/2.89 , ! X = Y }.
% 2.47/2.89 (35152) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.47/2.89 , leq( X, Y ) }.
% 2.47/2.89 (35153) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.47/2.89 ( X, Y ), lt( X, Y ) }.
% 2.47/2.89 (35154) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.47/2.89 , ! gt( Y, X ) }.
% 2.47/2.89 (35155) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.89 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.47/2.89 (35156) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.47/2.89 (35157) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.47/2.89 (35158) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.47/2.89 (35159) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.47/2.89 (35160) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.47/2.89 (35161) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.47/2.89 (35162) {G0,W2,D2,L1,V0,M1} { ! strictorderedP( skol46 ) }.
% 2.47/2.89 (35163) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ), nil = skol52 }.
% 2.47/2.89 (35164) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ), nil = skol51 }.
% 2.47/2.89 (35165) {G0,W7,D3,L2,V4,M2} { ! alpha44( X, Y ), ssItem( skol47( Z, T ) )
% 2.47/2.89 }.
% 2.47/2.89 (35166) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y
% 2.47/2.89 ) ) }.
% 2.47/2.89 (35167) {G0,W10,D4,L2,V2,M2} { ! alpha44( X, Y ), cons( skol47( X, Y ),
% 2.47/2.89 nil ) = X }.
% 2.47/2.89 (35168) {G0,W13,D3,L4,V3,M4} { ! ssItem( Z ), ! cons( Z, nil ) = X, !
% 2.47/2.89 memberP( Y, Z ), alpha44( X, Y ) }.
% 2.47/2.89
% 2.47/2.89
% 2.47/2.89 Total Proof:
% 2.47/2.89
% 2.47/2.89 subsumption: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X )
% 2.47/2.89 , ssItem( skol4( Y ) ) }.
% 2.47/2.89 parent0: (34891) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ),
% 2.47/2.89 ssItem( skol4( Y ) ) }.
% 2.47/2.89 substitution0:
% 2.47/2.89 X := X
% 2.47/2.89 Y := Y
% 2.47/2.89 end
% 2.47/2.89 permutation0:
% 2.47/2.89 0 ==> 0
% 2.47/2.89 1 ==> 1
% 2.47/2.89 2 ==> 2
% 2.47/2.89 end
% 2.47/2.89
% 2.47/2.89 subsumption: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 2.47/2.89 , cons( skol4( X ), nil ) ==> X }.
% 2.47/2.89 parent0: (34892) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ),
% 2.47/2.89 cons( skol4( X ), nil ) = X }.
% 2.47/2.89 substitution0:
% 2.47/2.89 X := X
% 2.47/2.89 end
% 2.47/2.89 permutation0:
% 2.47/2.89 0 ==> 0
% 2.47/2.89 1 ==> 1
% 2.47/2.89 2 ==> 2
% 2.47/2.89 end
% 2.47/2.89
% 2.47/2.89 subsumption: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 2.47/2.89 cons( Y, nil ) = X, singletonP( X ) }.
% 2.47/2.89 parent0: (34893) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), !
% 2.47/2.89 cons( Y, nil ) = X, singletonP( X ) }.
% 2.47/2.89 substitution0:
% 2.47/2.89 X := X
% 2.47/2.89 Y := Y
% 2.47/2.89 end
% 2.47/2.89 permutation0:
% 2.47/2.89 0 ==> 0
% 2.47/2.89 1 ==> 1
% 2.47/2.89 2 ==> 2
% 2.47/2.89 3 ==> 3
% 2.47/2.89 end
% 2.47/2.89
% 2.47/2.89 subsumption: (109) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha7( X,
% 2.47/2.89 skol29( X ) ), strictorderedP( X ) }.
% 2.47/2.89 parent0: (34989) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29
% 2.47/2.89 ( X ) ), strictorderedP( X ) }.
% 2.47/2.89 substitution0:
% 2.47/2.89 X := X
% 2.47/2.89 end
% 2.47/2.89 permutation0:
% 2.47/2.89 0 ==> 0
% 2.47/2.89 1 ==> 1
% 2.47/2.89 2 ==> 2
% 2.47/2.89 end
% 2.47/2.89
% 2.47/2.89 subsumption: (111) {G0,W7,D3,L2,V4,M2} I { ssItem( skol30( Z, T ) ), alpha7
% 2.47/2.90 ( X, Y ) }.
% 2.47/2.90 parent0: (34991) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X
% 2.47/2.90 , Y ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 Z := Z
% 2.47/2.90 T := T
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.47/2.90 ssList( cons( Y, X ) ) }.
% 2.47/2.90 parent0: (35040) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ),
% 2.47/2.90 ssList( cons( Y, X ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 2 ==> 2
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.47/2.90 parent0: (35041) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (234) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), strictorderedP(
% 2.47/2.90 cons( X, nil ) ) }.
% 2.47/2.90 parent0: (35114) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons
% 2.47/2.90 ( X, nil ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (235) {G0,W2,D2,L1,V0,M1} I { strictorderedP( nil ) }.
% 2.47/2.90 parent0: (35115) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.47/2.90 parent0: (35156) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 eqswap: (36542) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 2.47/2.90 parent0[0]: (35160) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.47/2.90 parent0: (36542) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 eqswap: (36890) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.47/2.90 parent0[0]: (35161) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.47/2.90 parent0: (36890) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 2.47/2.90 parent0: (35162) {G0,W2,D2,L1,V0,M1} { ! strictorderedP( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 paramod: (38457) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha44( skol51,
% 2.47/2.90 skol52 ) }.
% 2.47/2.90 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.47/2.90 parent1[1; 2]: (35164) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ),
% 2.47/2.90 nil = skol51 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 paramod: (38459) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol52 ), nil =
% 2.47/2.90 skol46 }.
% 2.47/2.90 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.47/2.90 parent1[1; 1]: (38457) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha44( skol51
% 2.47/2.90 , skol52 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 paramod: (38460) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol50 ), nil =
% 2.47/2.90 skol46 }.
% 2.47/2.90 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.47/2.90 parent1[0; 2]: (38459) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol52 ),
% 2.47/2.90 nil = skol46 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 eqswap: (38461) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 2.47/2.90 skol50 ) }.
% 2.47/2.90 parent0[1]: (38460) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol50 ), nil =
% 2.47/2.90 skol46 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==>
% 2.47/2.90 nil, alpha44( skol46, skol50 ) }.
% 2.47/2.90 parent0: (38461) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 2.47/2.90 skol50 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (284) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem(
% 2.47/2.90 skol47( Z, T ) ) }.
% 2.47/2.90 parent0: (35165) {G0,W7,D3,L2,V4,M2} { ! alpha44( X, Y ), ssItem( skol47(
% 2.47/2.90 Z, T ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 Z := Z
% 2.47/2.90 T := T
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (286) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47
% 2.47/2.90 ( X, Y ), nil ) ==> X }.
% 2.47/2.90 parent0: (35167) {G0,W10,D4,L2,V2,M2} { ! alpha44( X, Y ), cons( skol47( X
% 2.47/2.90 , Y ), nil ) = X }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 paramod: (39164) {G1,W5,D2,L2,V0,M2} { ! strictorderedP( nil ), alpha44(
% 2.47/2.90 skol46, skol50 ) }.
% 2.47/2.90 parent0[0]: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==>
% 2.47/2.90 nil, alpha44( skol46, skol50 ) }.
% 2.47/2.90 parent1[0; 2]: (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39175) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol50 ) }.
% 2.47/2.90 parent0[0]: (39164) {G1,W5,D2,L2,V0,M2} { ! strictorderedP( nil ), alpha44
% 2.47/2.90 ( skol46, skol50 ) }.
% 2.47/2.90 parent1[0]: (235) {G0,W2,D2,L1,V0,M1} I { strictorderedP( nil ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (871) {G2,W3,D2,L1,V0,M1} P(283,281);r(235) { alpha44( skol46
% 2.47/2.90 , skol50 ) }.
% 2.47/2.90 parent0: (39175) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol50 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39176) {G1,W6,D3,L2,V0,M2} { ! alpha7( skol46, skol29( skol46
% 2.47/2.90 ) ), strictorderedP( skol46 ) }.
% 2.47/2.90 parent0[0]: (109) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha7( X,
% 2.47/2.90 skol29( X ) ), strictorderedP( X ) }.
% 2.47/2.90 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := skol46
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39177) {G1,W4,D3,L1,V0,M1} { ! alpha7( skol46, skol29( skol46
% 2.47/2.90 ) ) }.
% 2.47/2.90 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 2.47/2.90 parent1[1]: (39176) {G1,W6,D3,L2,V0,M2} { ! alpha7( skol46, skol29( skol46
% 2.47/2.90 ) ), strictorderedP( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (6476) {G1,W4,D3,L1,V0,M1} R(109,275);r(281) { ! alpha7(
% 2.47/2.90 skol46, skol29( skol46 ) ) }.
% 2.47/2.90 parent0: (39177) {G1,W4,D3,L1,V0,M1} { ! alpha7( skol46, skol29( skol46 )
% 2.47/2.90 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39178) {G1,W4,D3,L1,V2,M1} { ssItem( skol30( X, Y ) ) }.
% 2.47/2.90 parent0[0]: (6476) {G1,W4,D3,L1,V0,M1} R(109,275);r(281) { ! alpha7( skol46
% 2.47/2.90 , skol29( skol46 ) ) }.
% 2.47/2.90 parent1[1]: (111) {G0,W7,D3,L2,V4,M2} I { ssItem( skol30( Z, T ) ), alpha7
% 2.47/2.90 ( X, Y ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := skol46
% 2.47/2.90 Y := skol29( skol46 )
% 2.47/2.90 Z := X
% 2.47/2.90 T := Y
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (6532) {G2,W4,D3,L1,V2,M1} R(111,6476) { ssItem( skol30( X, Y
% 2.47/2.90 ) ) }.
% 2.47/2.90 parent0: (39178) {G1,W4,D3,L1,V2,M1} { ssItem( skol30( X, Y ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 eqswap: (39179) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList( Y )
% 2.47/2.90 , ! ssItem( X ), singletonP( Y ) }.
% 2.47/2.90 parent0[2]: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 2.47/2.90 cons( Y, nil ) = X, singletonP( X ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := Y
% 2.47/2.90 Y := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39180) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 2.47/2.90 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.47/2.90 }.
% 2.47/2.90 parent0[1]: (39179) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList
% 2.47/2.90 ( Y ), ! ssItem( X ), singletonP( Y ) }.
% 2.47/2.90 parent1[2]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.47/2.90 ssList( cons( Y, X ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := Z
% 2.47/2.90 Y := cons( X, Y )
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := Y
% 2.47/2.90 Y := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 eqswap: (39181) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 2.47/2.90 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X ) }.
% 2.47/2.90 parent0[0]: (39180) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 2.47/2.90 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.47/2.90 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 Z := Z
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (13010) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 2.47/2.90 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 2.47/2.90 cons( Y, X ) ) }.
% 2.47/2.90 parent0: (39181) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 2.47/2.90 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.47/2.90 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := Y
% 2.47/2.90 Y := X
% 2.47/2.90 Z := Z
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 3
% 2.47/2.90 1 ==> 2
% 2.47/2.90 2 ==> 4
% 2.47/2.90 3 ==> 0
% 2.47/2.90 4 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39184) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X,
% 2.47/2.90 nil ) ) }.
% 2.47/2.90 parent0[0]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.47/2.90 ssList( cons( Y, X ) ) }.
% 2.47/2.90 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := nil
% 2.47/2.90 Y := X
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (13027) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 2.47/2.90 ( cons( X, nil ) ) }.
% 2.47/2.90 parent0: (39184) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X, nil
% 2.47/2.90 ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 eqswap: (39185) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil ), !
% 2.47/2.90 ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) ) }.
% 2.47/2.90 parent0[3]: (13010) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 2.47/2.90 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 2.47/2.90 cons( Y, X ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := Z
% 2.47/2.90 Y := Y
% 2.47/2.90 Z := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 eqrefl: (39186) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X ), !
% 2.47/2.90 ssItem( X ), singletonP( cons( X, nil ) ) }.
% 2.47/2.90 parent0[0]: (39185) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil )
% 2.47/2.90 , ! ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) )
% 2.47/2.90 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := X
% 2.47/2.90 Z := nil
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39188) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X ),
% 2.47/2.90 singletonP( cons( X, nil ) ) }.
% 2.47/2.90 parent0[0]: (39186) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X )
% 2.47/2.90 , ! ssItem( X ), singletonP( cons( X, nil ) ) }.
% 2.47/2.90 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 factor: (39189) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X,
% 2.47/2.90 nil ) ) }.
% 2.47/2.90 parent0[0, 1]: (39188) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X )
% 2.47/2.90 , singletonP( cons( X, nil ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (13055) {G2,W6,D3,L2,V1,M2} Q(13010);f;r(161) { ! ssItem( X )
% 2.47/2.90 , singletonP( cons( X, nil ) ) }.
% 2.47/2.90 parent0: (39189) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X
% 2.47/2.90 , nil ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39191) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 2.47/2.90 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 2.47/2.90 parent0[1]: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ),
% 2.47/2.90 ssItem( skol4( Y ) ) }.
% 2.47/2.90 parent1[1]: (13055) {G2,W6,D3,L2,V1,M2} Q(13010);f;r(161) { ! ssItem( X ),
% 2.47/2.90 singletonP( cons( X, nil ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := cons( X, nil )
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39192) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), ! ssItem(
% 2.47/2.90 X ), ! ssItem( X ) }.
% 2.47/2.90 parent0[0]: (39191) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 2.47/2.90 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 2.47/2.90 parent1[1]: (13027) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 2.47/2.90 ( cons( X, nil ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 factor: (39193) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 2.47/2.90 }.
% 2.47/2.90 parent0[1, 2]: (39192) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), !
% 2.47/2.90 ssItem( X ), ! ssItem( X ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := Y
% 2.47/2.90 Y := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (13123) {G3,W5,D3,L2,V2,M2} R(13055,11);r(13027) { ! ssItem( X
% 2.47/2.90 ), ssItem( skol4( Y ) ) }.
% 2.47/2.90 parent0: (39193) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 2.47/2.90 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := Y
% 2.47/2.90 Y := X
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 1
% 2.47/2.90 1 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39194) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 2.47/2.90 parent0[0]: (13123) {G3,W5,D3,L2,V2,M2} R(13055,11);r(13027) { ! ssItem( X
% 2.47/2.90 ), ssItem( skol4( Y ) ) }.
% 2.47/2.90 parent1[0]: (6532) {G2,W4,D3,L1,V2,M1} R(111,6476) { ssItem( skol30( X, Y )
% 2.47/2.90 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := skol30( X, Y )
% 2.47/2.90 Y := Z
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (13316) {G4,W3,D3,L1,V1,M1} R(13123,6532) { ssItem( skol4( X )
% 2.47/2.90 ) }.
% 2.47/2.90 parent0: (39194) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := Y
% 2.47/2.90 Y := Z
% 2.47/2.90 Z := X
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39195) {G1,W5,D4,L1,V1,M1} { strictorderedP( cons( skol4( X )
% 2.47/2.90 , nil ) ) }.
% 2.47/2.90 parent0[0]: (234) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), strictorderedP(
% 2.47/2.90 cons( X, nil ) ) }.
% 2.47/2.90 parent1[0]: (13316) {G4,W3,D3,L1,V1,M1} R(13123,6532) { ssItem( skol4( X )
% 2.47/2.90 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := skol4( X )
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (13434) {G5,W5,D4,L1,V1,M1} R(13316,234) { strictorderedP(
% 2.47/2.90 cons( skol4( X ), nil ) ) }.
% 2.47/2.90 parent0: (39195) {G1,W5,D4,L1,V1,M1} { strictorderedP( cons( skol4( X ),
% 2.47/2.90 nil ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 paramod: (39197) {G1,W6,D2,L3,V1,M3} { strictorderedP( X ), ! ssList( X )
% 2.47/2.90 , ! singletonP( X ) }.
% 2.47/2.90 parent0[2]: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 2.47/2.90 , cons( skol4( X ), nil ) ==> X }.
% 2.47/2.90 parent1[0; 1]: (13434) {G5,W5,D4,L1,V1,M1} R(13316,234) { strictorderedP(
% 2.47/2.90 cons( skol4( X ), nil ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (18591) {G6,W6,D2,L3,V1,M3} P(12,13434) { strictorderedP( X )
% 2.47/2.90 , ! ssList( X ), ! singletonP( X ) }.
% 2.47/2.90 parent0: (39197) {G1,W6,D2,L3,V1,M3} { strictorderedP( X ), ! ssList( X )
% 2.47/2.90 , ! singletonP( X ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 2 ==> 2
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39198) {G1,W4,D2,L2,V0,M2} { strictorderedP( skol46 ), !
% 2.47/2.90 singletonP( skol46 ) }.
% 2.47/2.90 parent0[1]: (18591) {G6,W6,D2,L3,V1,M3} P(12,13434) { strictorderedP( X ),
% 2.47/2.90 ! ssList( X ), ! singletonP( X ) }.
% 2.47/2.90 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := skol46
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39199) {G1,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 2.47/2.90 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 2.47/2.90 parent1[0]: (39198) {G1,W4,D2,L2,V0,M2} { strictorderedP( skol46 ), !
% 2.47/2.90 singletonP( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (21654) {G7,W2,D2,L1,V0,M1} R(18591,275);r(281) { ! singletonP
% 2.47/2.90 ( skol46 ) }.
% 2.47/2.90 parent0: (39199) {G1,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39200) {G1,W4,D3,L1,V2,M1} { ssItem( skol47( X, Y ) ) }.
% 2.47/2.90 parent0[0]: (284) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem( skol47
% 2.47/2.90 ( Z, T ) ) }.
% 2.47/2.90 parent1[0]: (871) {G2,W3,D2,L1,V0,M1} P(283,281);r(235) { alpha44( skol46,
% 2.47/2.90 skol50 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := skol46
% 2.47/2.90 Y := skol50
% 2.47/2.90 Z := X
% 2.47/2.90 T := Y
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (34549) {G3,W4,D3,L1,V2,M1} R(284,871) { ssItem( skol47( X, Y
% 2.47/2.90 ) ) }.
% 2.47/2.90 parent0: (39200) {G1,W4,D3,L1,V2,M1} { ssItem( skol47( X, Y ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 paramod: (39202) {G1,W9,D3,L3,V2,M3} { singletonP( X ), ! alpha44( X, Y )
% 2.47/2.90 , ! ssItem( skol47( X, Y ) ) }.
% 2.47/2.90 parent0[1]: (286) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47
% 2.47/2.90 ( X, Y ), nil ) ==> X }.
% 2.47/2.90 parent1[1; 1]: (13055) {G2,W6,D3,L2,V1,M2} Q(13010);f;r(161) { ! ssItem( X
% 2.47/2.90 ), singletonP( cons( X, nil ) ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := skol47( X, Y )
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39203) {G2,W5,D2,L2,V2,M2} { singletonP( X ), ! alpha44( X, Y
% 2.47/2.90 ) }.
% 2.47/2.90 parent0[2]: (39202) {G1,W9,D3,L3,V2,M3} { singletonP( X ), ! alpha44( X, Y
% 2.47/2.90 ), ! ssItem( skol47( X, Y ) ) }.
% 2.47/2.90 parent1[0]: (34549) {G3,W4,D3,L1,V2,M1} R(284,871) { ssItem( skol47( X, Y )
% 2.47/2.90 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (34795) {G4,W5,D2,L2,V2,M2} P(286,13055);r(34549) { singletonP
% 2.47/2.90 ( X ), ! alpha44( X, Y ) }.
% 2.47/2.90 parent0: (39203) {G2,W5,D2,L2,V2,M2} { singletonP( X ), ! alpha44( X, Y )
% 2.47/2.90 }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := X
% 2.47/2.90 Y := Y
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 0 ==> 0
% 2.47/2.90 1 ==> 1
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39204) {G3,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 2.47/2.90 parent0[1]: (34795) {G4,W5,D2,L2,V2,M2} P(286,13055);r(34549) { singletonP
% 2.47/2.90 ( X ), ! alpha44( X, Y ) }.
% 2.47/2.90 parent1[0]: (871) {G2,W3,D2,L1,V0,M1} P(283,281);r(235) { alpha44( skol46,
% 2.47/2.90 skol50 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 X := skol46
% 2.47/2.90 Y := skol50
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 resolution: (39205) {G4,W0,D0,L0,V0,M0} { }.
% 2.47/2.90 parent0[0]: (21654) {G7,W2,D2,L1,V0,M1} R(18591,275);r(281) { ! singletonP
% 2.47/2.90 ( skol46 ) }.
% 2.47/2.90 parent1[0]: (39204) {G3,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 substitution1:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 subsumption: (34878) {G8,W0,D0,L0,V0,M0} R(34795,871);r(21654) { }.
% 2.47/2.90 parent0: (39205) {G4,W0,D0,L0,V0,M0} { }.
% 2.47/2.90 substitution0:
% 2.47/2.90 end
% 2.47/2.90 permutation0:
% 2.47/2.90 end
% 2.47/2.90
% 2.47/2.90 Proof check complete!
% 2.47/2.90
% 2.47/2.90 Memory use:
% 2.47/2.90
% 2.47/2.90 space for terms: 643727
% 2.47/2.90 space for clauses: 1571741
% 2.47/2.90
% 2.47/2.90
% 2.47/2.90 clauses generated: 112409
% 2.47/2.90 clauses kept: 34879
% 2.47/2.90 clauses selected: 1155
% 2.47/2.90 clauses deleted: 2628
% 2.47/2.90 clauses inuse deleted: 69
% 2.47/2.90
% 2.47/2.90 subsentry: 176156
% 2.47/2.90 literals s-matched: 112540
% 2.47/2.90 literals matched: 96357
% 2.47/2.90 full subsumption: 52207
% 2.47/2.90
% 2.47/2.90 checksum: -1971223202
% 2.47/2.90
% 2.47/2.90
% 2.47/2.90 Bliksem ended
%------------------------------------------------------------------------------