TSTP Solution File: SWC207+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC207+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:34:48 EDT 2022
% Result : Theorem 2.77s 3.15s
% Output : Refutation 2.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC207+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.31 % Computer : n006.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % DateTime : Sat Jun 11 22:54:12 EDT 2022
% 0.12/0.31 % CPUTime :
% 0.71/1.14 *** allocated 10000 integers for termspace/termends
% 0.71/1.14 *** allocated 10000 integers for clauses
% 0.71/1.14 *** allocated 10000 integers for justifications
% 0.71/1.14 Bliksem 1.12
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Automatic Strategy Selection
% 0.71/1.14
% 0.71/1.14 *** allocated 15000 integers for termspace/termends
% 0.71/1.14
% 0.71/1.14 Clauses:
% 0.71/1.14
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.71/1.14 { ssItem( skol1 ) }.
% 0.71/1.14 { ssItem( skol49 ) }.
% 0.71/1.14 { ! skol1 = skol49 }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.71/1.14 }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.71/1.14 Y ) ) }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.71/1.14 ( X, Y ) }.
% 0.71/1.14 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.71/1.14 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.71/1.14 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.71/1.14 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.71/1.14 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.71/1.14 ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.71/1.14 ) = X }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.71/1.14 ( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.71/1.14 }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.71/1.14 = X }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.71/1.14 ( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.71/1.14 }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.71/1.14 , Y ) ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.71/1.14 segmentP( X, Y ) }.
% 0.71/1.14 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.71/1.14 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.71/1.14 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.71/1.14 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.71/1.14 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.71/1.14 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.71/1.14 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.71/1.14 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.71/1.14 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.71/1.14 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.71/1.14 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.71/1.14 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.71/1.14 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.71/1.14 .
% 0.71/1.14 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.71/1.14 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.71/1.14 , U ) }.
% 0.71/1.14 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.14 ) ) = X, alpha12( Y, Z ) }.
% 0.71/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.71/1.14 W ) }.
% 0.71/1.14 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.71/1.14 { leq( X, Y ), alpha12( X, Y ) }.
% 0.71/1.14 { leq( Y, X ), alpha12( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.71/1.14 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.71/1.14 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.71/1.14 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.71/1.14 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.71/1.14 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.71/1.14 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.71/1.14 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.71/1.14 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.71/1.14 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.71/1.14 .
% 0.71/1.14 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.71/1.14 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.71/1.14 , U ) }.
% 0.71/1.14 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.14 ) ) = X, alpha13( Y, Z ) }.
% 0.71/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.71/1.14 W ) }.
% 0.71/1.14 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.71/1.14 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.71/1.14 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.71/1.14 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.71/1.14 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.71/1.14 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.71/1.14 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.71/1.14 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.71/1.14 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.71/1.14 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.71/1.14 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.71/1.14 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.71/1.14 .
% 0.71/1.14 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.71/1.14 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.71/1.14 , U ) }.
% 0.71/1.14 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.14 ) ) = X, alpha14( Y, Z ) }.
% 0.71/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.71/1.14 W ) }.
% 0.71/1.14 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.71/1.14 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.71/1.14 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.71/1.14 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.71/1.14 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.71/1.14 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.71/1.14 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.71/1.14 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.71/1.14 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.71/1.14 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.71/1.14 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.71/1.14 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.71/1.14 .
% 0.71/1.14 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.71/1.14 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.71/1.14 , U ) }.
% 0.71/1.14 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.14 ) ) = X, leq( Y, Z ) }.
% 0.71/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.71/1.14 W ) }.
% 0.71/1.14 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.71/1.14 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.71/1.14 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.71/1.14 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.71/1.14 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.71/1.14 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.71/1.14 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.71/1.14 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.71/1.14 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.71/1.14 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.71/1.14 .
% 0.71/1.14 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.71/1.14 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.71/1.14 , U ) }.
% 0.71/1.14 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.14 ) ) = X, lt( Y, Z ) }.
% 0.71/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.71/1.14 W ) }.
% 0.71/1.14 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.71/1.14 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.71/1.14 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.71/1.14 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.71/1.14 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.71/1.14 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.71/1.14 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.71/1.14 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.71/1.14 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.71/1.14 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.71/1.14 .
% 0.71/1.14 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.71/1.14 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.71/1.14 , U ) }.
% 0.71/1.14 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.14 ) ) = X, ! Y = Z }.
% 0.71/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.71/1.14 W ) }.
% 0.71/1.14 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.71/1.14 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.71/1.14 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.71/1.14 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.71/1.14 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.71/1.14 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.71/1.14 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.71/1.14 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.71/1.14 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.71/1.14 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.71/1.14 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.71/1.14 Z }.
% 0.71/1.14 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.71/1.14 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.71/1.14 { ssList( nil ) }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.71/1.14 ) = cons( T, Y ), Z = T }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.71/1.14 ) = cons( T, Y ), Y = X }.
% 0.71/1.14 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.71/1.14 { ! ssList( X ), nil = X, ssItem( skol50( Y ) ) }.
% 0.71/1.14 { ! ssList( X ), nil = X, cons( skol50( X ), skol43( X ) ) = X }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.71/1.14 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.71/1.14 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.71/1.14 ( cons( Z, Y ), X ) }.
% 0.71/1.14 { ! ssList( X ), app( nil, X ) = X }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.71/1.14 , leq( X, Z ) }.
% 0.71/1.14 { ! ssItem( X ), leq( X, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.71/1.14 lt( X, Z ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.71/1.14 , memberP( Y, X ), memberP( Z, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.71/1.14 app( Y, Z ), X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.71/1.14 app( Y, Z ), X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.71/1.14 , X = Y, memberP( Z, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.71/1.14 ), X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.71/1.14 cons( Y, Z ), X ) }.
% 0.71/1.14 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.71/1.14 { ! singletonP( nil ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.71/1.14 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.71/1.14 = Y }.
% 0.71/1.14 { ! ssList( X ), frontsegP( X, X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.71/1.14 frontsegP( app( X, Z ), Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.71/1.14 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.71/1.14 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.71/1.14 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.71/1.14 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.71/1.14 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.71/1.14 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.71/1.14 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.71/1.14 Y }.
% 0.71/1.14 { ! ssList( X ), rearsegP( X, X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.71/1.14 ( app( Z, X ), Y ) }.
% 0.71/1.14 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.71/1.14 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.71/1.14 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.71/1.14 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.71/1.14 Y }.
% 0.71/1.14 { ! ssList( X ), segmentP( X, X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.71/1.14 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.71/1.14 { ! ssList( X ), segmentP( X, nil ) }.
% 0.71/1.14 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.71/1.14 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.71/1.14 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.71/1.14 { cyclefreeP( nil ) }.
% 0.71/1.14 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.71/1.14 { totalorderP( nil ) }.
% 0.71/1.14 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.71/1.14 { strictorderP( nil ) }.
% 0.71/1.14 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.71/1.14 { totalorderedP( nil ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.71/1.14 alpha10( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.71/1.14 .
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.71/1.14 Y ) ) }.
% 0.71/1.14 { ! alpha10( X, Y ), ! nil = Y }.
% 0.71/1.14 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.71/1.14 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.71/1.14 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.71/1.14 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.71/1.14 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.71/1.14 { strictorderedP( nil ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.71/1.14 alpha11( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.71/1.14 .
% 0.71/1.14 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.71/1.14 , Y ) ) }.
% 0.71/1.14 { ! alpha11( X, Y ), ! nil = Y }.
% 0.71/1.14 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.71/1.14 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.71/1.14 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.71/1.14 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.71/1.14 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.71/1.14 { duplicatefreeP( nil ) }.
% 0.71/1.14 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.71/1.14 { equalelemsP( nil ) }.
% 0.71/1.14 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.71/1.14 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.71/1.14 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.71/1.14 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.71/1.14 ( Y ) = tl( X ), Y = X }.
% 0.71/1.14 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.71/1.14 , Z = X }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.71/1.14 , Z = X }.
% 0.71/1.14 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.71/1.14 ( X, app( Y, Z ) ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.71/1.14 { ! ssList( X ), app( X, nil ) = X }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.71/1.14 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.71/1.14 Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.71/1.14 , geq( X, Z ) }.
% 0.71/1.14 { ! ssItem( X ), geq( X, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! lt( X, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.71/1.14 , lt( X, Z ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.71/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.71/1.14 gt( X, Z ) }.
% 0.71/1.14 { ssList( skol46 ) }.
% 0.71/1.14 { ssList( skol51 ) }.
% 0.71/1.14 { ssList( skol52 ) }.
% 0.71/1.14 { ssList( skol53 ) }.
% 0.71/1.14 { skol51 = skol53 }.
% 0.71/1.14 { skol46 = skol52 }.
% 0.71/1.14 { neq( skol51, nil ) }.
% 0.71/1.14 { ! neq( skol46, nil ) }.
% 0.71/1.14 { alpha44( skol52, skol53 ), nil = skol53 }.
% 0.71/1.14 { alpha44( skol52, skol53 ), nil = skol52 }.
% 0.71/1.14 { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y ) ) }.
% 0.71/1.14 { ! alpha44( X, Y ), alpha46( Y, skol47( Z, Y ) ) }.
% 0.71/1.14 { ! alpha44( X, Y ), alpha45( X, skol47( X, Y ) ) }.
% 0.71/1.14 { ! alpha45( X, Z ), ! memberP( Y, Z ), ! alpha46( Y, Z ), alpha44( X, Y )
% 0.71/1.14 }.
% 0.71/1.14 { ! alpha46( X, Y ), alpha47( Y, Z ), ! memberP( X, Z ), ! leq( Y, Z ) }.
% 0.71/1.14 { ! alpha47( Y, skol48( Z, Y ) ), alpha46( X, Y ) }.
% 0.71/1.14 { leq( Y, skol48( Z, Y ) ), alpha46( X, Y ) }.
% 0.71/1.14 { memberP( X, skol48( X, Y ) ), alpha46( X, Y ) }.
% 0.71/1.14 { ! alpha47( X, Y ), ! ssItem( Y ), X = Y }.
% 0.71/1.14 { ssItem( Y ), alpha47( X, Y ) }.
% 0.71/1.14 { ! X = Y, alpha47( X, Y ) }.
% 0.71/1.14 { ! alpha45( X, Y ), ssItem( Y ) }.
% 0.71/1.14 { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 0.71/1.14 { ! ssItem( Y ), ! cons( Y, nil ) = X, alpha45( X, Y ) }.
% 0.71/1.14
% 0.71/1.14 *** allocated 15000 integers for clauses
% 0.71/1.14 percentage equality = 0.129143, percentage horn = 0.755853
% 0.71/1.14 This is a problem with some equality
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Options Used:
% 0.71/1.14
% 0.71/1.14 useres = 1
% 0.71/1.14 useparamod = 1
% 0.71/1.14 useeqrefl = 1
% 0.71/1.14 useeqfact = 1
% 0.71/1.14 usefactor = 1
% 0.71/1.14 usesimpsplitting = 0
% 0.71/1.14 usesimpdemod = 5
% 0.71/1.14 usesimpres = 3
% 0.71/1.14
% 0.71/1.14 resimpinuse = 1000
% 0.71/1.14 resimpclauses = 20000
% 0.71/1.14 substype = eqrewr
% 0.71/1.14 backwardsubs = 1
% 0.71/1.14 selectoldest = 5
% 0.71/1.14
% 0.71/1.14 litorderings [0] = split
% 0.71/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.14
% 0.71/1.14 termordering = kbo
% 0.71/1.14
% 0.71/1.14 litapriori = 0
% 0.71/1.14 termapriori = 1
% 0.71/1.14 litaposteriori = 0
% 0.71/1.14 termaposteriori = 0
% 0.71/1.14 demodaposteriori = 0
% 0.71/1.14 ordereqreflfact = 0
% 0.71/1.14
% 0.71/1.14 litselect = negord
% 0.71/1.14
% 0.71/1.14 maxweight = 15
% 0.71/1.14 maxdepth = 30000
% 0.71/1.14 maxlength = 115
% 0.71/1.14 maxnrvars = 195
% 0.71/1.14 excuselevel = 1
% 0.71/1.14 increasemaxweight = 1
% 0.71/1.14
% 0.71/1.14 maxselected = 10000000
% 0.71/1.14 maxnrclauses = 10000000
% 0.71/1.14
% 0.71/1.14 showgenerated = 0
% 0.71/1.14 showkept = 0
% 0.71/1.14 showselected = 0
% 0.71/1.14 showdeleted = 0
% 0.71/1.14 showresimp = 1
% 0.71/1.14 showstatus = 2000
% 0.71/1.14
% 0.71/1.14 prologoutput = 0
% 0.71/1.14 nrgoals = 5000000
% 0.71/1.14 totalproof = 1
% 0.71/1.14
% 0.71/1.14 Symbols occurring in the translation:
% 0.71/1.14
% 0.71/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.14 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.43 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.72/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.43 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.43 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.72/1.43 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.43 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.72/1.43 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.72/1.43 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.72/1.43 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.43 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.43 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.72/1.43 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.72/1.43 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.72/1.43 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.43 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.72/1.43 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.72/1.43 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.43 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.72/1.43 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.72/1.43 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.43 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.43 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.43 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.43 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.43 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.72/1.43 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.72/1.43 alpha1 [65, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.72/1.43 alpha2 [66, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.72/1.43 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.72/1.43 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.72/1.43 alpha5 [69, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.72/1.43 alpha6 [70, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.72/1.43 alpha7 [71, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.72/1.43 alpha8 [72, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.72/1.43 alpha9 [73, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.72/1.43 alpha10 [74, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.72/1.43 alpha11 [75, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.72/1.43 alpha12 [76, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.72/1.43 alpha13 [77, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.72/1.43 alpha14 [78, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.72/1.43 alpha15 [79, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.72/1.43 alpha16 [80, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.72/1.43 alpha17 [81, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.72/1.43 alpha18 [82, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.72/1.43 alpha19 [83, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.72/1.43 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.72/1.43 alpha21 [85, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.72/1.43 alpha22 [86, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.72/1.43 alpha23 [87, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.72/1.43 alpha24 [88, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.72/1.43 alpha25 [89, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.72/1.43 alpha26 [90, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.72/1.43 alpha27 [91, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.72/1.43 alpha28 [92, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.72/1.43 alpha29 [93, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.72/1.43 alpha30 [94, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.72/1.43 alpha31 [95, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.72/1.43 alpha32 [96, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.72/1.43 alpha33 [97, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.72/1.43 alpha34 [98, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.72/1.43 alpha35 [99, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.72/1.43 alpha36 [100, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.72/1.43 alpha37 [101, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.72/1.43 alpha38 [102, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.72/1.43 alpha39 [103, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.72/1.43 alpha40 [104, 6] (w:1, o:161, a:1, s:1, b:1),
% 0.72/1.43 alpha41 [105, 6] (w:1, o:162, a:1, s:1, b:1),
% 0.72/1.43 alpha42 [106, 6] (w:1, o:163, a:1, s:1, b:1),
% 0.72/1.43 alpha43 [107, 6] (w:1, o:164, a:1, s:1, b:1),
% 0.72/1.43 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.72/1.43 alpha45 [109, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.72/1.43 alpha46 [110, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.72/1.43 alpha47 [111, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.72/1.43 skol1 [112, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.72/1.43 skol2 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.72/1.43 skol3 [114, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.72/1.43 skol4 [115, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.72/1.43 skol5 [116, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.72/1.43 skol6 [117, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.77/3.14 skol7 [118, 2] (w:1, o:109, a:1, s:1, b:1),
% 2.77/3.14 skol8 [119, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.77/3.14 skol9 [120, 1] (w:1, o:33, a:1, s:1, b:1),
% 2.77/3.14 skol10 [121, 2] (w:1, o:101, a:1, s:1, b:1),
% 2.77/3.14 skol11 [122, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.77/3.14 skol12 [123, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.77/3.14 skol13 [124, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.77/3.14 skol14 [125, 1] (w:1, o:34, a:1, s:1, b:1),
% 2.77/3.14 skol15 [126, 2] (w:1, o:102, a:1, s:1, b:1),
% 2.77/3.14 skol16 [127, 3] (w:1, o:128, a:1, s:1, b:1),
% 2.77/3.14 skol17 [128, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.77/3.14 skol18 [129, 5] (w:1, o:154, a:1, s:1, b:1),
% 2.77/3.14 skol19 [130, 1] (w:1, o:35, a:1, s:1, b:1),
% 2.77/3.14 skol20 [131, 2] (w:1, o:110, a:1, s:1, b:1),
% 2.77/3.14 skol21 [132, 3] (w:1, o:123, a:1, s:1, b:1),
% 2.77/3.14 skol22 [133, 4] (w:1, o:141, a:1, s:1, b:1),
% 2.77/3.14 skol23 [134, 5] (w:1, o:155, a:1, s:1, b:1),
% 2.77/3.14 skol24 [135, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.77/3.14 skol25 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 2.77/3.14 skol26 [137, 3] (w:1, o:124, a:1, s:1, b:1),
% 2.77/3.14 skol27 [138, 4] (w:1, o:142, a:1, s:1, b:1),
% 2.77/3.14 skol28 [139, 5] (w:1, o:156, a:1, s:1, b:1),
% 2.77/3.14 skol29 [140, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.77/3.14 skol30 [141, 2] (w:1, o:112, a:1, s:1, b:1),
% 2.77/3.14 skol31 [142, 3] (w:1, o:129, a:1, s:1, b:1),
% 2.77/3.14 skol32 [143, 4] (w:1, o:143, a:1, s:1, b:1),
% 2.77/3.14 skol33 [144, 5] (w:1, o:157, a:1, s:1, b:1),
% 2.77/3.14 skol34 [145, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.77/3.14 skol35 [146, 2] (w:1, o:113, a:1, s:1, b:1),
% 2.77/3.14 skol36 [147, 3] (w:1, o:130, a:1, s:1, b:1),
% 2.77/3.14 skol37 [148, 4] (w:1, o:144, a:1, s:1, b:1),
% 2.77/3.14 skol38 [149, 5] (w:1, o:158, a:1, s:1, b:1),
% 2.77/3.14 skol39 [150, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.77/3.14 skol40 [151, 2] (w:1, o:104, a:1, s:1, b:1),
% 2.77/3.14 skol41 [152, 3] (w:1, o:131, a:1, s:1, b:1),
% 2.77/3.14 skol42 [153, 4] (w:1, o:145, a:1, s:1, b:1),
% 2.77/3.14 skol43 [154, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.77/3.14 skol44 [155, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.77/3.14 skol45 [156, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.77/3.14 skol46 [157, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.77/3.14 skol47 [158, 2] (w:1, o:105, a:1, s:1, b:1),
% 2.77/3.14 skol48 [159, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.77/3.14 skol49 [160, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.77/3.14 skol50 [161, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.77/3.14 skol51 [162, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.77/3.14 skol52 [163, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.77/3.14 skol53 [164, 0] (w:1, o:18, a:1, s:1, b:1).
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Starting Search:
% 2.77/3.14
% 2.77/3.14 *** allocated 22500 integers for clauses
% 2.77/3.14 *** allocated 33750 integers for clauses
% 2.77/3.14 *** allocated 50625 integers for clauses
% 2.77/3.14 *** allocated 22500 integers for termspace/termends
% 2.77/3.14 *** allocated 75937 integers for clauses
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 33750 integers for termspace/termends
% 2.77/3.14 *** allocated 113905 integers for clauses
% 2.77/3.14 *** allocated 50625 integers for termspace/termends
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 3679
% 2.77/3.14 Kept: 2021
% 2.77/3.14 Inuse: 229
% 2.77/3.14 Deleted: 5
% 2.77/3.14 Deletedinuse: 0
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 170857 integers for clauses
% 2.77/3.14 *** allocated 75937 integers for termspace/termends
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 256285 integers for clauses
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 7346
% 2.77/3.14 Kept: 4136
% 2.77/3.14 Inuse: 396
% 2.77/3.14 Deleted: 11
% 2.77/3.14 Deletedinuse: 6
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 113905 integers for termspace/termends
% 2.77/3.14 *** allocated 384427 integers for clauses
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 10279
% 2.77/3.14 Kept: 6138
% 2.77/3.14 Inuse: 527
% 2.77/3.14 Deleted: 13
% 2.77/3.14 Deletedinuse: 8
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 170857 integers for termspace/termends
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 576640 integers for clauses
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 13464
% 2.77/3.14 Kept: 8140
% 2.77/3.14 Inuse: 649
% 2.77/3.14 Deleted: 23
% 2.77/3.14 Deletedinuse: 18
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 16470
% 2.77/3.14 Kept: 10146
% 2.77/3.14 Inuse: 691
% 2.77/3.14 Deleted: 23
% 2.77/3.14 Deletedinuse: 18
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 256285 integers for termspace/termends
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 864960 integers for clauses
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 22301
% 2.77/3.14 Kept: 12440
% 2.77/3.14 Inuse: 758
% 2.77/3.14 Deleted: 34
% 2.77/3.14 Deletedinuse: 26
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 30254
% 2.77/3.14 Kept: 14446
% 2.77/3.14 Inuse: 797
% 2.77/3.14 Deleted: 158
% 2.77/3.14 Deletedinuse: 149
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 384427 integers for termspace/termends
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 37887
% 2.77/3.14 Kept: 16636
% 2.77/3.14 Inuse: 889
% 2.77/3.14 Deleted: 166
% 2.77/3.14 Deletedinuse: 154
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 1297440 integers for clauses
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 47115
% 2.77/3.14 Kept: 18640
% 2.77/3.14 Inuse: 921
% 2.77/3.14 Deleted: 175
% 2.77/3.14 Deletedinuse: 154
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying clauses:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 576640 integers for termspace/termends
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 58099
% 2.77/3.14 Kept: 20908
% 2.77/3.14 Inuse: 964
% 2.77/3.14 Deleted: 3755
% 2.77/3.14 Deletedinuse: 155
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 64911
% 2.77/3.14 Kept: 23233
% 2.77/3.14 Inuse: 998
% 2.77/3.14 Deleted: 3756
% 2.77/3.14 Deletedinuse: 155
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 72151
% 2.77/3.14 Kept: 25566
% 2.77/3.14 Inuse: 1028
% 2.77/3.14 Deleted: 3756
% 2.77/3.14 Deletedinuse: 155
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 79200
% 2.77/3.14 Kept: 27708
% 2.77/3.14 Inuse: 1054
% 2.77/3.14 Deleted: 3757
% 2.77/3.14 Deletedinuse: 156
% 2.77/3.14
% 2.77/3.14 *** allocated 1946160 integers for clauses
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 89514
% 2.77/3.14 Kept: 29908
% 2.77/3.14 Inuse: 1078
% 2.77/3.14 Deleted: 3758
% 2.77/3.14 Deletedinuse: 157
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 *** allocated 864960 integers for termspace/termends
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 99668
% 2.77/3.14 Kept: 31950
% 2.77/3.14 Inuse: 1117
% 2.77/3.14 Deleted: 3764
% 2.77/3.14 Deletedinuse: 163
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14 Resimplifying inuse:
% 2.77/3.14 Done
% 2.77/3.14
% 2.77/3.14
% 2.77/3.14 Intermediate Status:
% 2.77/3.14 Generated: 106724
% 2.77/3.14 Kept: 33976
% 2.77/3.14 Inuse: 1135
% 2.77/3.15 Deleted: 3766
% 2.77/3.15 Deletedinuse: 163
% 2.77/3.15
% 2.77/3.15 Resimplifying inuse:
% 2.77/3.15 Done
% 2.77/3.15
% 2.77/3.15 Resimplifying inuse:
% 2.77/3.15 Done
% 2.77/3.15
% 2.77/3.15
% 2.77/3.15 Intermediate Status:
% 2.77/3.15 Generated: 112858
% 2.77/3.15 Kept: 36684
% 2.77/3.15 Inuse: 1181
% 2.77/3.15 Deleted: 3766
% 2.77/3.15 Deletedinuse: 163
% 2.77/3.15
% 2.77/3.15 Resimplifying inuse:
% 2.77/3.15 Done
% 2.77/3.15
% 2.77/3.15 Resimplifying inuse:
% 2.77/3.15 Done
% 2.77/3.15
% 2.77/3.15
% 2.77/3.15 Bliksems!, er is een bewijs:
% 2.77/3.15 % SZS status Theorem
% 2.77/3.15 % SZS output start Refutation
% 2.77/3.15
% 2.77/3.15 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.77/3.15 , ! X = Y }.
% 2.77/3.15 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.77/3.15 (168) {G0,W9,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.77/3.15 ==> nil }.
% 2.77/3.15 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.77/3.15 (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 2.77/3.15 (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 2.77/3.15 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol51, nil ) }.
% 2.77/3.15 (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 2.77/3.15 (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol51 ==> nil, alpha44
% 2.77/3.15 ( skol46, skol51 ) }.
% 2.77/3.15 (287) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X, skol47( X, Y )
% 2.77/3.15 ) }.
% 2.77/3.15 (296) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y ) }.
% 2.77/3.15 (297) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 2.77/3.15 (333) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X ) }.
% 2.77/3.15 (714) {G2,W3,D2,L1,V0,M1} R(333,161) { ! neq( nil, nil ) }.
% 2.77/3.15 (1203) {G3,W3,D2,L1,V0,M1} P(283,281);r(714) { alpha44( skol46, skol51 )
% 2.77/3.15 }.
% 2.77/3.15 (11875) {G1,W5,D2,L2,V0,M2} R(159,282);r(275) { ! ssList( nil ), skol46 ==>
% 2.77/3.15 nil }.
% 2.77/3.15 (12452) {G2,W3,D2,L1,V0,M1} S(11875);r(161) { skol46 ==> nil }.
% 2.77/3.15 (12699) {G4,W3,D2,L1,V0,M1} S(1203);d(12452) { alpha44( nil, skol51 ) }.
% 2.77/3.15 (34632) {G5,W5,D3,L1,V0,M1} R(287,12699) { alpha45( nil, skol47( nil,
% 2.77/3.15 skol51 ) ) }.
% 2.77/3.15 (34728) {G6,W4,D3,L1,V0,M1} R(34632,296) { ssItem( skol47( nil, skol51 ) )
% 2.77/3.15 }.
% 2.77/3.15 (37378) {G1,W8,D2,L3,V2,M3} P(297,168);r(161) { ! ssItem( X ), ! Y = nil, !
% 2.77/3.15 alpha45( Y, X ) }.
% 2.77/3.15 (37758) {G2,W5,D2,L2,V1,M2} Q(37378) { ! ssItem( X ), ! alpha45( nil, X )
% 2.77/3.15 }.
% 2.77/3.15 (38216) {G7,W0,D0,L0,V0,M0} R(37758,34728);r(34632) { }.
% 2.77/3.15
% 2.77/3.15
% 2.77/3.15 % SZS output end Refutation
% 2.77/3.15 found a proof!
% 2.77/3.15
% 2.77/3.15
% 2.77/3.15 Unprocessed initial clauses:
% 2.77/3.15
% 2.77/3.15 (38218) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.77/3.15 , ! X = Y }.
% 2.77/3.15 (38219) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38220) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.77/3.15 (38221) {G0,W2,D2,L1,V0,M1} { ssItem( skol49 ) }.
% 2.77/3.15 (38222) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol49 }.
% 2.77/3.15 (38223) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.77/3.15 , Y ), ssList( skol2( Z, T ) ) }.
% 2.77/3.15 (38224) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.77/3.15 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.77/3.15 (38225) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.77/3.15 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.77/3.15 (38226) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.77/3.15 ) ) }.
% 2.77/3.15 (38227) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.77/3.15 ( X, Y, Z ) ) ) = X }.
% 2.77/3.15 (38228) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.77/3.15 , alpha1( X, Y, Z ) }.
% 2.77/3.15 (38229) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.77/3.15 skol4( Y ) ) }.
% 2.77/3.15 (38230) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.77/3.15 skol4( X ), nil ) = X }.
% 2.77/3.15 (38231) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.77/3.15 nil ) = X, singletonP( X ) }.
% 2.77/3.15 (38232) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.77/3.15 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.77/3.15 (38233) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.77/3.15 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.77/3.15 (38234) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.77/3.15 (38235) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.77/3.15 , Y ), ssList( skol6( Z, T ) ) }.
% 2.77/3.15 (38236) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.77/3.15 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.77/3.15 (38237) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.77/3.15 (38238) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.77/3.15 , Y ), ssList( skol7( Z, T ) ) }.
% 2.77/3.15 (38239) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.77/3.15 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.77/3.15 (38240) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.77/3.15 (38241) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.77/3.15 ) ) }.
% 2.77/3.15 (38242) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.77/3.15 skol8( X, Y, Z ) ) = X }.
% 2.77/3.15 (38243) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.77/3.15 , alpha2( X, Y, Z ) }.
% 2.77/3.15 (38244) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.77/3.15 Y ), alpha3( X, Y ) }.
% 2.77/3.15 (38245) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.77/3.15 cyclefreeP( X ) }.
% 2.77/3.15 (38246) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.77/3.15 cyclefreeP( X ) }.
% 2.77/3.15 (38247) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.77/3.15 , Y, Z ) }.
% 2.77/3.15 (38248) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.77/3.15 (38249) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38250) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.77/3.15 alpha28( X, Y, Z, T ) }.
% 2.77/3.15 (38251) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.77/3.15 Z ) }.
% 2.77/3.15 (38252) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.77/3.15 alpha21( X, Y, Z ) }.
% 2.77/3.15 (38253) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.77/3.15 alpha35( X, Y, Z, T, U ) }.
% 2.77/3.15 (38254) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.77/3.15 X, Y, Z, T ) }.
% 2.77/3.15 (38255) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.77/3.15 ), alpha28( X, Y, Z, T ) }.
% 2.77/3.15 (38256) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.77/3.15 alpha41( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38257) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.77/3.15 alpha35( X, Y, Z, T, U ) }.
% 2.77/3.15 (38258) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.77/3.15 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.77/3.15 (38259) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.77/3.15 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.77/3.15 (38260) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.77/3.15 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38261) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.77/3.15 W ) }.
% 2.77/3.15 (38262) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.77/3.15 X ) }.
% 2.77/3.15 (38263) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.77/3.15 (38264) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.77/3.15 (38265) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.77/3.15 ( Y ), alpha4( X, Y ) }.
% 2.77/3.15 (38266) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.77/3.15 totalorderP( X ) }.
% 2.77/3.15 (38267) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.77/3.15 totalorderP( X ) }.
% 2.77/3.15 (38268) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.77/3.15 , Y, Z ) }.
% 2.77/3.15 (38269) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.77/3.15 (38270) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38271) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.77/3.15 alpha29( X, Y, Z, T ) }.
% 2.77/3.15 (38272) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.77/3.15 Z ) }.
% 2.77/3.15 (38273) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.77/3.15 alpha22( X, Y, Z ) }.
% 2.77/3.15 (38274) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.77/3.15 alpha36( X, Y, Z, T, U ) }.
% 2.77/3.15 (38275) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.77/3.15 X, Y, Z, T ) }.
% 2.77/3.15 (38276) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.77/3.15 ), alpha29( X, Y, Z, T ) }.
% 2.77/3.15 (38277) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.77/3.15 alpha42( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38278) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.77/3.15 alpha36( X, Y, Z, T, U ) }.
% 2.77/3.15 (38279) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.77/3.15 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.77/3.15 (38280) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.77/3.15 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.77/3.15 (38281) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.77/3.15 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38282) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.77/3.15 W ) }.
% 2.77/3.15 (38283) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.77/3.15 }.
% 2.77/3.15 (38284) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.77/3.15 (38285) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.77/3.15 (38286) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.77/3.15 ( Y ), alpha5( X, Y ) }.
% 2.77/3.15 (38287) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.77/3.15 strictorderP( X ) }.
% 2.77/3.15 (38288) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.77/3.15 strictorderP( X ) }.
% 2.77/3.15 (38289) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.77/3.15 , Y, Z ) }.
% 2.77/3.15 (38290) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.77/3.15 (38291) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38292) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.77/3.15 alpha30( X, Y, Z, T ) }.
% 2.77/3.15 (38293) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.77/3.15 Z ) }.
% 2.77/3.15 (38294) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.77/3.15 alpha23( X, Y, Z ) }.
% 2.77/3.15 (38295) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.77/3.15 alpha37( X, Y, Z, T, U ) }.
% 2.77/3.15 (38296) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.77/3.15 X, Y, Z, T ) }.
% 2.77/3.15 (38297) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.77/3.15 ), alpha30( X, Y, Z, T ) }.
% 2.77/3.15 (38298) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.77/3.15 alpha43( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38299) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.77/3.15 alpha37( X, Y, Z, T, U ) }.
% 2.77/3.15 (38300) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.77/3.15 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.77/3.15 (38301) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.77/3.15 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.77/3.15 (38302) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.77/3.15 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38303) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.77/3.15 W ) }.
% 2.77/3.15 (38304) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.77/3.15 }.
% 2.77/3.15 (38305) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.77/3.15 (38306) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.77/3.15 (38307) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.77/3.15 ssItem( Y ), alpha6( X, Y ) }.
% 2.77/3.15 (38308) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.77/3.15 totalorderedP( X ) }.
% 2.77/3.15 (38309) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.77/3.15 totalorderedP( X ) }.
% 2.77/3.15 (38310) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.77/3.15 , Y, Z ) }.
% 2.77/3.15 (38311) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.77/3.15 (38312) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38313) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.77/3.15 alpha24( X, Y, Z, T ) }.
% 2.77/3.15 (38314) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.77/3.15 Z ) }.
% 2.77/3.15 (38315) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.77/3.15 alpha15( X, Y, Z ) }.
% 2.77/3.15 (38316) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.77/3.15 alpha31( X, Y, Z, T, U ) }.
% 2.77/3.15 (38317) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.77/3.15 X, Y, Z, T ) }.
% 2.77/3.15 (38318) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.77/3.15 ), alpha24( X, Y, Z, T ) }.
% 2.77/3.15 (38319) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.77/3.15 alpha38( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38320) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.77/3.15 alpha31( X, Y, Z, T, U ) }.
% 2.77/3.15 (38321) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.77/3.15 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.77/3.15 (38322) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.77/3.15 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.77/3.15 (38323) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.77/3.15 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38324) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.77/3.15 }.
% 2.77/3.15 (38325) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.77/3.15 ssItem( Y ), alpha7( X, Y ) }.
% 2.77/3.15 (38326) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.77/3.15 strictorderedP( X ) }.
% 2.77/3.15 (38327) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.77/3.15 strictorderedP( X ) }.
% 2.77/3.15 (38328) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.77/3.15 , Y, Z ) }.
% 2.77/3.15 (38329) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.77/3.15 (38330) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38331) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.77/3.15 alpha25( X, Y, Z, T ) }.
% 2.77/3.15 (38332) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.77/3.15 Z ) }.
% 2.77/3.15 (38333) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.77/3.15 alpha16( X, Y, Z ) }.
% 2.77/3.15 (38334) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.77/3.15 alpha32( X, Y, Z, T, U ) }.
% 2.77/3.15 (38335) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.77/3.15 X, Y, Z, T ) }.
% 2.77/3.15 (38336) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.77/3.15 ), alpha25( X, Y, Z, T ) }.
% 2.77/3.15 (38337) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.77/3.15 alpha39( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38338) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.77/3.15 alpha32( X, Y, Z, T, U ) }.
% 2.77/3.15 (38339) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.77/3.15 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.77/3.15 (38340) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.77/3.15 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.77/3.15 (38341) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.77/3.15 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38342) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.77/3.15 }.
% 2.77/3.15 (38343) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.77/3.15 ssItem( Y ), alpha8( X, Y ) }.
% 2.77/3.15 (38344) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.77/3.15 duplicatefreeP( X ) }.
% 2.77/3.15 (38345) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.77/3.15 duplicatefreeP( X ) }.
% 2.77/3.15 (38346) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.77/3.15 , Y, Z ) }.
% 2.77/3.15 (38347) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.77/3.15 (38348) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38349) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.77/3.15 alpha26( X, Y, Z, T ) }.
% 2.77/3.15 (38350) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.77/3.15 Z ) }.
% 2.77/3.15 (38351) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.77/3.15 alpha17( X, Y, Z ) }.
% 2.77/3.15 (38352) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.77/3.15 alpha33( X, Y, Z, T, U ) }.
% 2.77/3.15 (38353) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.77/3.15 X, Y, Z, T ) }.
% 2.77/3.15 (38354) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.77/3.15 ), alpha26( X, Y, Z, T ) }.
% 2.77/3.15 (38355) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.77/3.15 alpha40( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38356) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.77/3.15 alpha33( X, Y, Z, T, U ) }.
% 2.77/3.15 (38357) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.77/3.15 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.77/3.15 (38358) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.77/3.15 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.77/3.15 (38359) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.77/3.15 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38360) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.77/3.15 (38361) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.77/3.15 ( Y ), alpha9( X, Y ) }.
% 2.77/3.15 (38362) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.77/3.15 equalelemsP( X ) }.
% 2.77/3.15 (38363) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.77/3.15 equalelemsP( X ) }.
% 2.77/3.15 (38364) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.77/3.15 , Y, Z ) }.
% 2.77/3.15 (38365) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.77/3.15 (38366) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38367) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.77/3.15 alpha27( X, Y, Z, T ) }.
% 2.77/3.15 (38368) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.77/3.15 Z ) }.
% 2.77/3.15 (38369) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.77/3.15 alpha18( X, Y, Z ) }.
% 2.77/3.15 (38370) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.77/3.15 alpha34( X, Y, Z, T, U ) }.
% 2.77/3.15 (38371) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.77/3.15 X, Y, Z, T ) }.
% 2.77/3.15 (38372) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.77/3.15 ), alpha27( X, Y, Z, T ) }.
% 2.77/3.15 (38373) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.77/3.15 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.77/3.15 (38374) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.77/3.15 alpha34( X, Y, Z, T, U ) }.
% 2.77/3.15 (38375) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.77/3.15 (38376) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.77/3.15 , ! X = Y }.
% 2.77/3.15 (38377) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.77/3.15 , Y ) }.
% 2.77/3.15 (38378) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.77/3.15 Y, X ) ) }.
% 2.77/3.15 (38379) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.77/3.15 (38380) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.77/3.15 = X }.
% 2.77/3.15 (38381) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.77/3.15 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.77/3.15 (38382) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.77/3.15 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.77/3.15 (38383) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.77/3.15 ) }.
% 2.77/3.15 (38384) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol50( Y )
% 2.77/3.15 ) }.
% 2.77/3.15 (38385) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol50( X ),
% 2.77/3.15 skol43( X ) ) = X }.
% 2.77/3.15 (38386) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.77/3.15 Y, X ) }.
% 2.77/3.15 (38387) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.77/3.15 }.
% 2.77/3.15 (38388) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.77/3.15 X ) ) = Y }.
% 2.77/3.15 (38389) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.77/3.15 }.
% 2.77/3.15 (38390) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.77/3.15 X ) ) = X }.
% 2.77/3.15 (38391) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.77/3.15 , Y ) ) }.
% 2.77/3.15 (38392) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.77/3.15 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.77/3.15 (38393) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.77/3.15 (38394) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.77/3.15 , ! leq( Y, X ), X = Y }.
% 2.77/3.15 (38395) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.77/3.15 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.77/3.15 (38396) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.77/3.15 (38397) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.77/3.15 , leq( Y, X ) }.
% 2.77/3.15 (38398) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.77/3.15 , geq( X, Y ) }.
% 2.77/3.15 (38399) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.77/3.15 , ! lt( Y, X ) }.
% 2.77/3.15 (38400) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.77/3.15 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.77/3.15 (38401) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.77/3.15 , lt( Y, X ) }.
% 2.77/3.15 (38402) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.77/3.15 , gt( X, Y ) }.
% 2.77/3.15 (38403) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.77/3.15 (38404) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.77/3.15 (38405) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.77/3.15 (38406) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.77/3.15 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.77/3.15 (38407) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.77/3.15 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.77/3.15 (38408) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.77/3.15 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.77/3.15 (38409) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.77/3.15 (38410) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.77/3.15 (38411) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.77/3.15 (38412) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.77/3.15 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.77/3.15 (38413) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.77/3.15 (38414) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.77/3.15 (38415) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.77/3.15 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.77/3.15 (38416) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.77/3.15 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.77/3.15 , T ) }.
% 2.77/3.15 (38417) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.77/3.15 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.77/3.15 cons( Y, T ) ) }.
% 2.77/3.15 (38418) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.77/3.15 (38419) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.77/3.15 X }.
% 2.77/3.15 (38420) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.77/3.15 ) }.
% 2.77/3.15 (38421) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.77/3.15 (38422) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.77/3.15 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.77/3.15 (38423) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.77/3.15 (38424) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.77/3.15 (38425) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.77/3.15 (38426) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.77/3.15 }.
% 2.77/3.15 (38427) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.77/3.15 }.
% 2.77/3.15 (38428) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.77/3.15 (38429) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.77/3.15 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.77/3.15 (38430) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.77/3.15 (38431) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.77/3.15 }.
% 2.77/3.15 (38432) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.77/3.15 (38433) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.77/3.15 }.
% 2.77/3.15 (38434) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.77/3.15 }.
% 2.77/3.15 (38435) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.77/3.15 }.
% 2.77/3.15 (38436) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.77/3.15 (38437) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.77/3.15 }.
% 2.77/3.15 (38438) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.77/3.15 (38439) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.77/3.15 ) }.
% 2.77/3.15 (38440) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.77/3.15 (38441) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.77/3.15 ) }.
% 2.77/3.15 (38442) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.77/3.15 (38443) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.77/3.15 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.77/3.15 (38444) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.77/3.15 totalorderedP( cons( X, Y ) ) }.
% 2.77/3.15 (38445) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.77/3.15 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.77/3.15 (38446) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.77/3.15 (38447) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.77/3.15 (38448) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.77/3.15 }.
% 2.77/3.15 (38449) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.77/3.15 (38450) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.77/3.15 (38451) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.77/3.15 alpha19( X, Y ) }.
% 2.77/3.15 (38452) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.77/3.15 ) ) }.
% 2.77/3.15 (38453) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.77/3.15 (38454) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.77/3.15 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.77/3.15 (38455) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.77/3.15 strictorderedP( cons( X, Y ) ) }.
% 2.77/3.15 (38456) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.77/3.15 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.77/3.15 (38457) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.77/3.15 (38458) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.77/3.15 (38459) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.77/3.15 }.
% 2.77/3.15 (38460) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.77/3.15 (38461) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.77/3.15 (38462) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.77/3.15 alpha20( X, Y ) }.
% 2.77/3.15 (38463) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.77/3.15 ) ) }.
% 2.77/3.15 (38464) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.77/3.15 (38465) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.77/3.15 }.
% 2.77/3.15 (38466) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.77/3.15 (38467) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.77/3.15 ) }.
% 2.77/3.15 (38468) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.77/3.15 ) }.
% 2.77/3.15 (38469) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.77/3.15 ) }.
% 2.77/3.15 (38470) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.77/3.15 ) }.
% 2.77/3.15 (38471) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.77/3.15 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.77/3.15 (38472) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.77/3.15 X ) ) = X }.
% 2.77/3.15 (38473) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.77/3.15 (38474) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.77/3.15 (38475) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.77/3.15 = app( cons( Y, nil ), X ) }.
% 2.77/3.15 (38476) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.77/3.15 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.77/3.15 (38477) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.77/3.15 X, Y ), nil = Y }.
% 2.77/3.15 (38478) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.77/3.15 X, Y ), nil = X }.
% 2.77/3.15 (38479) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.77/3.15 nil = X, nil = app( X, Y ) }.
% 2.77/3.15 (38480) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.77/3.15 (38481) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.77/3.15 app( X, Y ) ) = hd( X ) }.
% 2.77/3.15 (38482) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.77/3.15 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.77/3.15 (38483) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.77/3.15 , ! geq( Y, X ), X = Y }.
% 2.77/3.15 (38484) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.77/3.15 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.77/3.15 (38485) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.77/3.15 (38486) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.77/3.15 (38487) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.77/3.15 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.77/3.15 (38488) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.77/3.15 , X = Y, lt( X, Y ) }.
% 2.77/3.15 (38489) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.77/3.15 , ! X = Y }.
% 2.77/3.15 (38490) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.77/3.15 , leq( X, Y ) }.
% 2.77/3.15 (38491) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.77/3.15 ( X, Y ), lt( X, Y ) }.
% 2.77/3.15 (38492) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.77/3.15 , ! gt( Y, X ) }.
% 2.77/3.15 (38493) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.77/3.15 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.77/3.15 (38494) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.77/3.15 (38495) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.77/3.15 (38496) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.77/3.15 (38497) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 2.77/3.15 (38498) {G0,W3,D2,L1,V0,M1} { skol51 = skol53 }.
% 2.77/3.15 (38499) {G0,W3,D2,L1,V0,M1} { skol46 = skol52 }.
% 2.77/3.15 (38500) {G0,W3,D2,L1,V0,M1} { neq( skol51, nil ) }.
% 2.77/3.15 (38501) {G0,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 2.77/3.15 (38502) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ), nil = skol53 }.
% 2.77/3.15 (38503) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ), nil = skol52 }.
% 2.77/3.15 (38504) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y
% 2.77/3.15 ) ) }.
% 2.77/3.15 (38505) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), alpha46( Y, skol47( Z, Y
% 2.77/3.15 ) ) }.
% 2.77/3.15 (38506) {G0,W8,D3,L2,V2,M2} { ! alpha44( X, Y ), alpha45( X, skol47( X, Y
% 2.77/3.15 ) ) }.
% 2.77/3.15 (38507) {G0,W12,D2,L4,V3,M4} { ! alpha45( X, Z ), ! memberP( Y, Z ), !
% 2.77/3.15 alpha46( Y, Z ), alpha44( X, Y ) }.
% 2.77/3.15 (38508) {G0,W12,D2,L4,V3,M4} { ! alpha46( X, Y ), alpha47( Y, Z ), !
% 2.77/3.15 memberP( X, Z ), ! leq( Y, Z ) }.
% 2.77/3.15 (38509) {G0,W8,D3,L2,V3,M2} { ! alpha47( Y, skol48( Z, Y ) ), alpha46( X,
% 2.77/3.15 Y ) }.
% 2.77/3.15 (38510) {G0,W8,D3,L2,V3,M2} { leq( Y, skol48( Z, Y ) ), alpha46( X, Y )
% 2.77/3.15 }.
% 2.77/3.15 (38511) {G0,W8,D3,L2,V2,M2} { memberP( X, skol48( X, Y ) ), alpha46( X, Y
% 2.77/3.15 ) }.
% 2.77/3.15 (38512) {G0,W8,D2,L3,V2,M3} { ! alpha47( X, Y ), ! ssItem( Y ), X = Y }.
% 2.77/3.15 (38513) {G0,W5,D2,L2,V2,M2} { ssItem( Y ), alpha47( X, Y ) }.
% 2.77/3.15 (38514) {G0,W6,D2,L2,V2,M2} { ! X = Y, alpha47( X, Y ) }.
% 2.77/3.15 (38515) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), ssItem( Y ) }.
% 2.77/3.15 (38516) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 2.77/3.15 (38517) {G0,W10,D3,L3,V2,M3} { ! ssItem( Y ), ! cons( Y, nil ) = X,
% 2.77/3.15 alpha45( X, Y ) }.
% 2.77/3.15
% 2.77/3.15
% 2.77/3.15 Total Proof:
% 2.77/3.15
% 2.77/3.15 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 2.77/3.15 neq( X, Y ), ! X = Y }.
% 2.77/3.15 parent0: (38376) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 2.77/3.15 neq( X, Y ), ! X = Y }.
% 2.77/3.15 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 Y := Y
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 1 ==> 1
% 2.77/3.16 2 ==> 2
% 2.77/3.16 3 ==> 3
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 2.77/3.16 = Y, neq( X, Y ) }.
% 2.77/3.16 parent0: (38377) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 2.77/3.16 Y, neq( X, Y ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 Y := Y
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 1 ==> 1
% 2.77/3.16 2 ==> 2
% 2.77/3.16 3 ==> 3
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.77/3.16 parent0: (38379) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 eqswap: (38816) {G0,W9,D3,L3,V2,M3} { ! cons( X, Y ) = nil, ! ssList( Y )
% 2.77/3.16 , ! ssItem( X ) }.
% 2.77/3.16 parent0[2]: (38386) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), !
% 2.77/3.16 nil = cons( Y, X ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := Y
% 2.77/3.16 Y := X
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (168) {G0,W9,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), !
% 2.77/3.16 cons( Y, X ) ==> nil }.
% 2.77/3.16 parent0: (38816) {G0,W9,D3,L3,V2,M3} { ! cons( X, Y ) = nil, ! ssList( Y )
% 2.77/3.16 , ! ssItem( X ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := Y
% 2.77/3.16 Y := X
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 2
% 2.77/3.16 1 ==> 0
% 2.77/3.16 2 ==> 1
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.77/3.16 parent0: (38494) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 eqswap: (39509) {G0,W3,D2,L1,V0,M1} { skol53 = skol51 }.
% 2.77/3.16 parent0[0]: (38498) {G0,W3,D2,L1,V0,M1} { skol51 = skol53 }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 2.77/3.16 parent0: (39509) {G0,W3,D2,L1,V0,M1} { skol53 = skol51 }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 eqswap: (39857) {G0,W3,D2,L1,V0,M1} { skol52 = skol46 }.
% 2.77/3.16 parent0[0]: (38499) {G0,W3,D2,L1,V0,M1} { skol46 = skol52 }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 2.77/3.16 parent0: (39857) {G0,W3,D2,L1,V0,M1} { skol52 = skol46 }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol51, nil ) }.
% 2.77/3.16 parent0: (38500) {G0,W3,D2,L1,V0,M1} { neq( skol51, nil ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 2.77/3.16 parent0: (38501) {G0,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 paramod: (41768) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol53 ), nil =
% 2.77/3.16 skol53 }.
% 2.77/3.16 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 2.77/3.16 parent1[0; 1]: (38502) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ),
% 2.77/3.16 nil = skol53 }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 paramod: (41770) {G1,W6,D2,L2,V0,M2} { nil = skol51, alpha44( skol46,
% 2.77/3.16 skol53 ) }.
% 2.77/3.16 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 2.77/3.16 parent1[1; 2]: (41768) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol53 ),
% 2.77/3.16 nil = skol53 }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 paramod: (41772) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol51 ), nil =
% 2.77/3.16 skol51 }.
% 2.77/3.16 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 2.77/3.16 parent1[1; 2]: (41770) {G1,W6,D2,L2,V0,M2} { nil = skol51, alpha44( skol46
% 2.77/3.16 , skol53 ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 eqswap: (41773) {G1,W6,D2,L2,V0,M2} { skol51 = nil, alpha44( skol46,
% 2.77/3.16 skol51 ) }.
% 2.77/3.16 parent0[1]: (41772) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol51 ), nil =
% 2.77/3.16 skol51 }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol51 ==>
% 2.77/3.16 nil, alpha44( skol46, skol51 ) }.
% 2.77/3.16 parent0: (41773) {G1,W6,D2,L2,V0,M2} { skol51 = nil, alpha44( skol46,
% 2.77/3.16 skol51 ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 1 ==> 1
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (287) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X,
% 2.77/3.16 skol47( X, Y ) ) }.
% 2.77/3.16 parent0: (38506) {G0,W8,D3,L2,V2,M2} { ! alpha44( X, Y ), alpha45( X,
% 2.77/3.16 skol47( X, Y ) ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 Y := Y
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 1 ==> 1
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (296) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y )
% 2.77/3.16 }.
% 2.77/3.16 parent0: (38515) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), ssItem( Y ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 Y := Y
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 1 ==> 1
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (297) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil
% 2.77/3.16 ) = X }.
% 2.77/3.16 parent0: (38516) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), cons( Y, nil ) =
% 2.77/3.16 X }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 Y := Y
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 1 ==> 1
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 eqswap: (42829) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 2.77/3.16 ), ! neq( X, Y ) }.
% 2.77/3.16 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 2.77/3.16 neq( X, Y ), ! X = Y }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 Y := Y
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 factor: (42830) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X, X
% 2.77/3.16 ) }.
% 2.77/3.16 parent0[1, 2]: (42829) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 2.77/3.16 ssList( Y ), ! neq( X, Y ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 Y := X
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 eqrefl: (42831) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 2.77/3.16 parent0[0]: (42830) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X
% 2.77/3.16 , X ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (333) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X,
% 2.77/3.16 X ) }.
% 2.77/3.16 parent0: (42831) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 1 ==> 1
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 resolution: (42832) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 2.77/3.16 parent0[0]: (333) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X
% 2.77/3.16 ) }.
% 2.77/3.16 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := nil
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (714) {G2,W3,D2,L1,V0,M1} R(333,161) { ! neq( nil, nil ) }.
% 2.77/3.16 parent0: (42832) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 paramod: (42834) {G1,W6,D2,L2,V0,M2} { neq( nil, nil ), alpha44( skol46,
% 2.77/3.16 skol51 ) }.
% 2.77/3.16 parent0[0]: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol51 ==>
% 2.77/3.16 nil, alpha44( skol46, skol51 ) }.
% 2.77/3.16 parent1[0; 1]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol51, nil ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 resolution: (42845) {G2,W3,D2,L1,V0,M1} { alpha44( skol46, skol51 ) }.
% 2.77/3.16 parent0[0]: (714) {G2,W3,D2,L1,V0,M1} R(333,161) { ! neq( nil, nil ) }.
% 2.77/3.16 parent1[0]: (42834) {G1,W6,D2,L2,V0,M2} { neq( nil, nil ), alpha44( skol46
% 2.77/3.16 , skol51 ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (1203) {G3,W3,D2,L1,V0,M1} P(283,281);r(714) { alpha44( skol46
% 2.77/3.16 , skol51 ) }.
% 2.77/3.16 parent0: (42845) {G2,W3,D2,L1,V0,M1} { alpha44( skol46, skol51 ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 eqswap: (42846) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList( Y )
% 2.77/3.16 , neq( X, Y ) }.
% 2.77/3.16 parent0[2]: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 2.77/3.16 = Y, neq( X, Y ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 X := X
% 2.77/3.16 Y := Y
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 resolution: (42847) {G1,W7,D2,L3,V0,M3} { nil = skol46, ! ssList( skol46 )
% 2.77/3.16 , ! ssList( nil ) }.
% 2.77/3.16 parent0[0]: (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 2.77/3.16 parent1[3]: (42846) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList
% 2.77/3.16 ( Y ), neq( X, Y ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 X := skol46
% 2.77/3.16 Y := nil
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 resolution: (42848) {G1,W5,D2,L2,V0,M2} { nil = skol46, ! ssList( nil )
% 2.77/3.16 }.
% 2.77/3.16 parent0[1]: (42847) {G1,W7,D2,L3,V0,M3} { nil = skol46, ! ssList( skol46 )
% 2.77/3.16 , ! ssList( nil ) }.
% 2.77/3.16 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 eqswap: (42849) {G1,W5,D2,L2,V0,M2} { skol46 = nil, ! ssList( nil ) }.
% 2.77/3.16 parent0[0]: (42848) {G1,W5,D2,L2,V0,M2} { nil = skol46, ! ssList( nil )
% 2.77/3.16 }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (11875) {G1,W5,D2,L2,V0,M2} R(159,282);r(275) { ! ssList( nil
% 2.77/3.16 ), skol46 ==> nil }.
% 2.77/3.16 parent0: (42849) {G1,W5,D2,L2,V0,M2} { skol46 = nil, ! ssList( nil ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 1
% 2.77/3.16 1 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 resolution: (42851) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 2.77/3.16 parent0[0]: (11875) {G1,W5,D2,L2,V0,M2} R(159,282);r(275) { ! ssList( nil )
% 2.77/3.16 , skol46 ==> nil }.
% 2.77/3.16 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 substitution1:
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 subsumption: (12452) {G2,W3,D2,L1,V0,M1} S(11875);r(161) { skol46 ==> nil
% 2.77/3.16 }.
% 2.77/3.16 parent0: (42851) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 2.77/3.16 substitution0:
% 2.77/3.16 end
% 2.77/3.16 permutation0:
% 2.77/3.16 0 ==> 0
% 2.77/3.16 end
% 2.77/3.16
% 2.77/3.16 paramod: (42854) {G3,W3,D2,L1,V0,M1} { alpha44( nil, skol51 ) }.
% 2.77/3.16 parent0[0]: (12452) {G2,W3,D2,L1,V0,M1} S(11875);r(161) { skol46 ==> nil
% 56.78/57.17 }.
% 56.78/57.17 parent1[0; 1]: (1203) {G3,W3,D2,L1,V0,M1} P(283,281);r(714) { alpha44(
% 56.78/57.17 skol46, skol51 ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 end
% 56.78/57.17 substitution1:
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 subsumption: (12699) {G4,W3,D2,L1,V0,M1} S(1203);d(12452) { alpha44( nil,
% 56.78/57.17 skol51 ) }.
% 56.78/57.17 parent0: (42854) {G3,W3,D2,L1,V0,M1} { alpha44( nil, skol51 ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 end
% 56.78/57.17 permutation0:
% 56.78/57.17 0 ==> 0
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 resolution: (42855) {G1,W5,D3,L1,V0,M1} { alpha45( nil, skol47( nil,
% 56.78/57.17 skol51 ) ) }.
% 56.78/57.17 parent0[0]: (287) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X,
% 56.78/57.17 skol47( X, Y ) ) }.
% 56.78/57.17 parent1[0]: (12699) {G4,W3,D2,L1,V0,M1} S(1203);d(12452) { alpha44( nil,
% 56.78/57.17 skol51 ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := nil
% 56.78/57.17 Y := skol51
% 56.78/57.17 end
% 56.78/57.17 substitution1:
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 subsumption: (34632) {G5,W5,D3,L1,V0,M1} R(287,12699) { alpha45( nil,
% 56.78/57.17 skol47( nil, skol51 ) ) }.
% 56.78/57.17 parent0: (42855) {G1,W5,D3,L1,V0,M1} { alpha45( nil, skol47( nil, skol51 )
% 56.78/57.17 ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 end
% 56.78/57.17 permutation0:
% 56.78/57.17 0 ==> 0
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 resolution: (42856) {G1,W4,D3,L1,V0,M1} { ssItem( skol47( nil, skol51 ) )
% 56.78/57.17 }.
% 56.78/57.17 parent0[0]: (296) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y )
% 56.78/57.17 }.
% 56.78/57.17 parent1[0]: (34632) {G5,W5,D3,L1,V0,M1} R(287,12699) { alpha45( nil, skol47
% 56.78/57.17 ( nil, skol51 ) ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := nil
% 56.78/57.17 Y := skol47( nil, skol51 )
% 56.78/57.17 end
% 56.78/57.17 substitution1:
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 subsumption: (34728) {G6,W4,D3,L1,V0,M1} R(34632,296) { ssItem( skol47( nil
% 56.78/57.17 , skol51 ) ) }.
% 56.78/57.17 parent0: (42856) {G1,W4,D3,L1,V0,M1} { ssItem( skol47( nil, skol51 ) ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 end
% 56.78/57.17 permutation0:
% 56.78/57.17 0 ==> 0
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 *** allocated 15000 integers for justifications
% 56.78/57.17 *** allocated 22500 integers for justifications
% 56.78/57.17 *** allocated 33750 integers for justifications
% 56.78/57.17 *** allocated 50625 integers for justifications
% 56.78/57.17 *** allocated 75937 integers for justifications
% 56.78/57.17 *** allocated 113905 integers for justifications
% 56.78/57.17 *** allocated 1297440 integers for termspace/termends
% 56.78/57.17 *** allocated 170857 integers for justifications
% 56.78/57.17 *** allocated 2919240 integers for clauses
% 56.78/57.17 *** allocated 256285 integers for justifications
% 56.78/57.17 *** allocated 384427 integers for justifications
% 56.78/57.17 *** allocated 576640 integers for justifications
% 56.78/57.17 *** allocated 1946160 integers for termspace/termends
% 56.78/57.17 *** allocated 864960 integers for justifications
% 56.78/57.17 *** allocated 1297440 integers for justifications
% 56.78/57.17 *** allocated 2919240 integers for termspace/termends
% 56.78/57.17 eqswap: (42858) {G0,W9,D3,L3,V2,M3} { ! nil ==> cons( X, Y ), ! ssList( Y
% 56.78/57.17 ), ! ssItem( X ) }.
% 56.78/57.17 parent0[2]: (168) {G0,W9,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), !
% 56.78/57.17 cons( Y, X ) ==> nil }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := Y
% 56.78/57.17 Y := X
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 paramod: (335704) {G1,W10,D2,L4,V2,M4} { ! nil ==> Y, ! alpha45( Y, X ), !
% 56.78/57.17 ssList( nil ), ! ssItem( X ) }.
% 56.78/57.17 parent0[1]: (297) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil )
% 56.78/57.17 = X }.
% 56.78/57.17 parent1[0; 3]: (42858) {G0,W9,D3,L3,V2,M3} { ! nil ==> cons( X, Y ), !
% 56.78/57.17 ssList( Y ), ! ssItem( X ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := Y
% 56.78/57.17 Y := X
% 56.78/57.17 end
% 56.78/57.17 substitution1:
% 56.78/57.17 X := X
% 56.78/57.17 Y := nil
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 resolution: (335705) {G1,W8,D2,L3,V2,M3} { ! nil ==> X, ! alpha45( X, Y )
% 56.78/57.17 , ! ssItem( Y ) }.
% 56.78/57.17 parent0[2]: (335704) {G1,W10,D2,L4,V2,M4} { ! nil ==> Y, ! alpha45( Y, X )
% 56.78/57.17 , ! ssList( nil ), ! ssItem( X ) }.
% 56.78/57.17 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := Y
% 56.78/57.17 Y := X
% 56.78/57.17 end
% 56.78/57.17 substitution1:
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 eqswap: (335706) {G1,W8,D2,L3,V2,M3} { ! X ==> nil, ! alpha45( X, Y ), !
% 56.78/57.17 ssItem( Y ) }.
% 56.78/57.17 parent0[0]: (335705) {G1,W8,D2,L3,V2,M3} { ! nil ==> X, ! alpha45( X, Y )
% 56.78/57.17 , ! ssItem( Y ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := X
% 56.78/57.17 Y := Y
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 subsumption: (37378) {G1,W8,D2,L3,V2,M3} P(297,168);r(161) { ! ssItem( X )
% 56.78/57.17 , ! Y = nil, ! alpha45( Y, X ) }.
% 56.78/57.17 parent0: (335706) {G1,W8,D2,L3,V2,M3} { ! X ==> nil, ! alpha45( X, Y ), !
% 56.78/57.17 ssItem( Y ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := Y
% 56.78/57.17 Y := X
% 56.78/57.17 end
% 56.78/57.17 permutation0:
% 56.78/57.17 0 ==> 1
% 56.78/57.17 1 ==> 2
% 56.78/57.17 2 ==> 0
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 eqswap: (335707) {G1,W8,D2,L3,V2,M3} { ! nil = X, ! ssItem( Y ), ! alpha45
% 56.78/57.17 ( X, Y ) }.
% 56.78/57.17 parent0[1]: (37378) {G1,W8,D2,L3,V2,M3} P(297,168);r(161) { ! ssItem( X ),
% 56.78/57.17 ! Y = nil, ! alpha45( Y, X ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := Y
% 56.78/57.17 Y := X
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 eqrefl: (335708) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! alpha45( nil, X )
% 56.78/57.17 }.
% 56.78/57.17 parent0[0]: (335707) {G1,W8,D2,L3,V2,M3} { ! nil = X, ! ssItem( Y ), !
% 56.78/57.17 alpha45( X, Y ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := nil
% 56.78/57.17 Y := X
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 subsumption: (37758) {G2,W5,D2,L2,V1,M2} Q(37378) { ! ssItem( X ), !
% 56.78/57.17 alpha45( nil, X ) }.
% 56.78/57.17 parent0: (335708) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! alpha45( nil, X )
% 56.78/57.17 }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := X
% 56.78/57.17 end
% 56.78/57.17 permutation0:
% 56.78/57.17 0 ==> 0
% 56.78/57.17 1 ==> 1
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 resolution: (335709) {G3,W5,D3,L1,V0,M1} { ! alpha45( nil, skol47( nil,
% 56.78/57.17 skol51 ) ) }.
% 56.78/57.17 parent0[0]: (37758) {G2,W5,D2,L2,V1,M2} Q(37378) { ! ssItem( X ), ! alpha45
% 56.78/57.17 ( nil, X ) }.
% 56.78/57.17 parent1[0]: (34728) {G6,W4,D3,L1,V0,M1} R(34632,296) { ssItem( skol47( nil
% 56.78/57.17 , skol51 ) ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 X := skol47( nil, skol51 )
% 56.78/57.17 end
% 56.78/57.17 substitution1:
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 resolution: (335710) {G4,W0,D0,L0,V0,M0} { }.
% 56.78/57.17 parent0[0]: (335709) {G3,W5,D3,L1,V0,M1} { ! alpha45( nil, skol47( nil,
% 56.78/57.17 skol51 ) ) }.
% 56.78/57.17 parent1[0]: (34632) {G5,W5,D3,L1,V0,M1} R(287,12699) { alpha45( nil, skol47
% 56.78/57.17 ( nil, skol51 ) ) }.
% 56.78/57.17 substitution0:
% 56.78/57.17 end
% 56.78/57.17 substitution1:
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 subsumption: (38216) {G7,W0,D0,L0,V0,M0} R(37758,34728);r(34632) { }.
% 56.78/57.17 parent0: (335710) {G4,W0,D0,L0,V0,M0} { }.
% 56.78/57.17 substitution0:
% 56.78/57.17 end
% 56.78/57.17 permutation0:
% 56.78/57.17 end
% 56.78/57.17
% 56.78/57.17 Proof check complete!
% 56.78/57.17
% 56.78/57.17 Memory use:
% 56.78/57.17
% 56.78/57.17 space for terms: 692235
% 56.78/57.17 space for clauses: 1740762
% 56.78/57.17
% 56.78/57.17
% 56.78/57.17 clauses generated: 115892
% 56.78/57.17 clauses kept: 38217
% 56.78/57.17 clauses selected: 1192
% 56.78/57.17 clauses deleted: 3766
% 56.78/57.17 clauses inuse deleted: 163
% 56.78/57.17
% 56.78/57.17 subsentry: 147335622
% 56.78/57.17 literals s-matched: 42044977
% 56.78/57.17 literals matched: 22440693
% 56.78/57.17 full subsumption: 22221885
% 56.78/57.17
% 56.78/57.17 checksum: -168472834
% 56.78/57.17
% 56.78/57.17
% 56.78/57.17 Bliksem ended
%------------------------------------------------------------------------------