TSTP Solution File: SWC082+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC082+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:38 EDT 2022
% Result : Theorem 2.63s 3.01s
% Output : Refutation 2.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC082+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 04:38:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 *** allocated 15000 integers for termspace/termends
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.13 { ssItem( skol1 ) }.
% 0.72/1.13 { ssItem( skol47 ) }.
% 0.72/1.13 { ! skol1 = skol47 }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.72/1.13 }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.72/1.13 Y ) ) }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.72/1.13 ( X, Y ) }.
% 0.72/1.13 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.72/1.13 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.72/1.13 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.72/1.13 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.72/1.13 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.72/1.13 ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.72/1.13 ) = X }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.72/1.13 ( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.72/1.13 }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.72/1.13 = X }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.72/1.13 ( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.72/1.13 }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.72/1.13 , Y ) ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.72/1.13 segmentP( X, Y ) }.
% 0.72/1.13 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.72/1.13 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.72/1.13 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.72/1.13 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.72/1.13 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.72/1.13 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.72/1.13 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.72/1.13 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.13 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.72/1.13 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.72/1.13 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.72/1.13 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.13 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.72/1.13 .
% 0.72/1.13 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.13 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.72/1.13 , U ) }.
% 0.72/1.13 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.13 ) ) = X, alpha12( Y, Z ) }.
% 0.72/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.72/1.13 W ) }.
% 0.72/1.13 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.72/1.13 { leq( X, Y ), alpha12( X, Y ) }.
% 0.72/1.13 { leq( Y, X ), alpha12( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.72/1.13 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.72/1.13 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.72/1.13 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.72/1.13 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.72/1.13 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.72/1.13 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.72/1.13 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.72/1.13 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.13 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.72/1.13 .
% 0.72/1.13 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.13 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.72/1.13 , U ) }.
% 0.72/1.13 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.13 ) ) = X, alpha13( Y, Z ) }.
% 0.72/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.72/1.13 W ) }.
% 0.72/1.13 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.72/1.13 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.72/1.13 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.72/1.13 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.72/1.13 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.72/1.13 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.72/1.13 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.72/1.13 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.72/1.13 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.72/1.13 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.72/1.13 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.13 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.72/1.13 .
% 0.72/1.13 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.13 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.72/1.13 , U ) }.
% 0.72/1.13 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.13 ) ) = X, alpha14( Y, Z ) }.
% 0.72/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.72/1.13 W ) }.
% 0.72/1.13 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.72/1.13 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.72/1.13 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.72/1.13 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.72/1.13 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.72/1.13 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.72/1.13 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.72/1.13 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.72/1.13 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.72/1.13 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.72/1.13 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.13 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.72/1.13 .
% 0.72/1.13 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.13 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.72/1.13 , U ) }.
% 0.72/1.13 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.13 ) ) = X, leq( Y, Z ) }.
% 0.72/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.72/1.13 W ) }.
% 0.72/1.13 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.72/1.13 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.72/1.13 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.72/1.13 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.72/1.13 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.72/1.13 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.13 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.72/1.13 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.72/1.13 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.13 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.72/1.13 .
% 0.72/1.13 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.13 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.72/1.13 , U ) }.
% 0.72/1.13 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.13 ) ) = X, lt( Y, Z ) }.
% 0.72/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.72/1.13 W ) }.
% 0.72/1.13 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.72/1.13 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.72/1.13 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.72/1.13 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.72/1.13 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.72/1.13 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.13 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.72/1.13 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.72/1.13 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.13 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.72/1.13 .
% 0.72/1.13 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.13 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.72/1.13 , U ) }.
% 0.72/1.13 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.13 ) ) = X, ! Y = Z }.
% 0.72/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.72/1.13 W ) }.
% 0.72/1.13 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.72/1.13 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.72/1.13 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.72/1.13 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.72/1.13 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.72/1.13 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.72/1.13 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.72/1.13 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.72/1.13 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.72/1.13 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.13 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.72/1.13 Z }.
% 0.72/1.13 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.13 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.72/1.13 { ssList( nil ) }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.13 ) = cons( T, Y ), Z = T }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.13 ) = cons( T, Y ), Y = X }.
% 0.72/1.13 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.72/1.13 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.72/1.13 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.72/1.13 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.72/1.13 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.72/1.13 ( cons( Z, Y ), X ) }.
% 0.72/1.13 { ! ssList( X ), app( nil, X ) = X }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.72/1.13 , leq( X, Z ) }.
% 0.72/1.13 { ! ssItem( X ), leq( X, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.72/1.13 lt( X, Z ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.72/1.13 , memberP( Y, X ), memberP( Z, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.72/1.13 app( Y, Z ), X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.13 app( Y, Z ), X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.72/1.13 , X = Y, memberP( Z, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.72/1.13 ), X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.13 cons( Y, Z ), X ) }.
% 0.72/1.13 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.72/1.13 { ! singletonP( nil ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.72/1.13 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.72/1.13 = Y }.
% 0.72/1.13 { ! ssList( X ), frontsegP( X, X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.72/1.13 frontsegP( app( X, Z ), Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.13 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.13 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.72/1.13 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.72/1.13 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.72/1.13 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.72/1.13 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.72/1.13 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.72/1.13 Y }.
% 0.72/1.13 { ! ssList( X ), rearsegP( X, X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.72/1.13 ( app( Z, X ), Y ) }.
% 0.72/1.13 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.72/1.13 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.72/1.13 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.72/1.13 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.72/1.13 Y }.
% 0.72/1.13 { ! ssList( X ), segmentP( X, X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.72/1.13 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.72/1.13 { ! ssList( X ), segmentP( X, nil ) }.
% 0.72/1.13 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.72/1.13 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.72/1.13 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.72/1.13 { cyclefreeP( nil ) }.
% 0.72/1.13 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.72/1.13 { totalorderP( nil ) }.
% 0.72/1.13 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.72/1.13 { strictorderP( nil ) }.
% 0.72/1.13 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.72/1.13 { totalorderedP( nil ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.13 alpha10( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.72/1.13 .
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.72/1.13 Y ) ) }.
% 0.72/1.13 { ! alpha10( X, Y ), ! nil = Y }.
% 0.72/1.13 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.72/1.13 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.72/1.13 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.72/1.13 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.72/1.13 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.72/1.13 { strictorderedP( nil ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.13 alpha11( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.72/1.13 .
% 0.72/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.72/1.13 , Y ) ) }.
% 0.72/1.13 { ! alpha11( X, Y ), ! nil = Y }.
% 0.72/1.13 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.72/1.13 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.72/1.13 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.72/1.13 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.72/1.13 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.72/1.13 { duplicatefreeP( nil ) }.
% 0.72/1.13 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.72/1.13 { equalelemsP( nil ) }.
% 0.72/1.13 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.72/1.13 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.72/1.13 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.72/1.13 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.72/1.13 ( Y ) = tl( X ), Y = X }.
% 0.72/1.13 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.72/1.13 , Z = X }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.72/1.13 , Z = X }.
% 0.72/1.13 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.72/1.13 ( X, app( Y, Z ) ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.72/1.13 { ! ssList( X ), app( X, nil ) = X }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.72/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.72/1.13 Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.72/1.13 , geq( X, Z ) }.
% 0.72/1.13 { ! ssItem( X ), geq( X, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! lt( X, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.72/1.13 , lt( X, Z ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.72/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.72/1.13 gt( X, Z ) }.
% 0.72/1.13 { ssList( skol46 ) }.
% 0.72/1.13 { ssList( skol49 ) }.
% 0.72/1.13 { ssList( skol50 ) }.
% 0.72/1.13 { ssList( skol51 ) }.
% 0.72/1.13 { skol49 = skol51 }.
% 0.72/1.13 { skol46 = skol50 }.
% 0.72/1.13 { neq( skol49, nil ) }.
% 0.72/1.13 { ! ssList( X ), ! neq( X, nil ), ! segmentP( skol49, X ), ! segmentP(
% 0.72/1.13 skol46, X ) }.
% 0.72/1.13 { nil = skol50, ! nil = skol51 }.
% 0.72/1.13 { alpha44( skol52 ), ! neq( skol51, nil ) }.
% 0.72/1.13 { segmentP( skol51, skol52 ), ! neq( skol51, nil ) }.
% 0.72/1.13 { segmentP( skol50, skol52 ), ! neq( skol51, nil ) }.
% 0.72/1.13 { ! alpha44( X ), ssList( X ) }.
% 0.72/1.13 { ! alpha44( X ), neq( X, nil ) }.
% 0.72/1.13 { ! ssList( X ), ! neq( X, nil ), alpha44( X ) }.
% 0.72/1.13
% 0.72/1.13 *** allocated 15000 integers for clauses
% 0.72/1.13 percentage equality = 0.127485, percentage horn = 0.765517
% 0.72/1.13 This is a problem with some equality
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 0
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ssItem [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.13 neq [38, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.72/1.13 ssList [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.13 memberP [40, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.72/1.13 cons [43, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.72/1.13 app [44, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.31/1.71 singletonP [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.31/1.71 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.31/1.71 frontsegP [47, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.31/1.71 rearsegP [48, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.31/1.71 segmentP [49, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.31/1.71 cyclefreeP [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.31/1.71 leq [53, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.31/1.71 totalorderP [54, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.31/1.71 strictorderP [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.31/1.71 lt [56, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.31/1.71 totalorderedP [57, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.31/1.71 strictorderedP [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.31/1.71 duplicatefreeP [59, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.31/1.71 equalelemsP [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.31/1.71 hd [61, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.31/1.71 tl [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.31/1.71 geq [63, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.31/1.71 gt [64, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.31/1.71 alpha1 [65, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.31/1.71 alpha2 [66, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.31/1.71 alpha3 [67, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.31/1.71 alpha4 [68, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.31/1.71 alpha5 [69, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.31/1.71 alpha6 [70, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.31/1.71 alpha7 [71, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.31/1.71 alpha8 [72, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.31/1.71 alpha9 [73, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.31/1.71 alpha10 [74, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.31/1.71 alpha11 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.31/1.71 alpha12 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.31/1.71 alpha13 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.31/1.71 alpha14 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.31/1.71 alpha15 [79, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.31/1.71 alpha16 [80, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.31/1.71 alpha17 [81, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.31/1.71 alpha18 [82, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.31/1.71 alpha19 [83, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.31/1.71 alpha20 [84, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.31/1.71 alpha21 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.31/1.71 alpha22 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.31/1.71 alpha23 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.31/1.71 alpha24 [88, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.31/1.71 alpha25 [89, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.31/1.71 alpha26 [90, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.31/1.71 alpha27 [91, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.31/1.71 alpha28 [92, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.31/1.71 alpha29 [93, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.31/1.71 alpha30 [94, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.31/1.71 alpha31 [95, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.31/1.71 alpha32 [96, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.31/1.71 alpha33 [97, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.31/1.71 alpha34 [98, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.31/1.71 alpha35 [99, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.31/1.71 alpha36 [100, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.31/1.71 alpha37 [101, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.31/1.71 alpha38 [102, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.31/1.71 alpha39 [103, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.31/1.71 alpha40 [104, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.31/1.71 alpha41 [105, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.31/1.71 alpha42 [106, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.31/1.71 alpha43 [107, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.31/1.71 alpha44 [108, 1] (w:1, o:49, a:1, s:1, b:1),
% 1.31/1.71 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.31/1.71 skol2 [110, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.31/1.71 skol3 [111, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.31/1.71 skol4 [112, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.31/1.71 skol5 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.31/1.71 skol6 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.31/1.71 skol7 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.31/1.71 skol8 [116, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.31/1.71 skol9 [117, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.31/1.71 skol10 [118, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.31/1.71 skol11 [119, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.31/1.71 skol12 [120, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.31/1.71 skol13 [121, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.31/1.71 skol14 [122, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.31/1.71 skol15 [123, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.31/1.71 skol16 [124, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.31/1.71 skol17 [125, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.31/1.71 skol18 [126, 5] (w:1, o:150, a:1, s:1, b:1),
% 2.63/3.01 skol19 [127, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.63/3.01 skol20 [128, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.63/3.01 skol21 [129, 3] (w:1, o:119, a:1, s:1, b:1),
% 2.63/3.01 skol22 [130, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.63/3.01 skol23 [131, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.63/3.01 skol24 [132, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.63/3.01 skol25 [133, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.63/3.01 skol26 [134, 3] (w:1, o:120, a:1, s:1, b:1),
% 2.63/3.01 skol27 [135, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.63/3.01 skol28 [136, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.63/3.01 skol29 [137, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.63/3.01 skol30 [138, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.63/3.01 skol31 [139, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.63/3.01 skol32 [140, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.63/3.01 skol33 [141, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.63/3.01 skol34 [142, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.63/3.01 skol35 [143, 2] (w:1, o:109, a:1, s:1, b:1),
% 2.63/3.01 skol36 [144, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.63/3.01 skol37 [145, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.63/3.01 skol38 [146, 5] (w:1, o:154, a:1, s:1, b:1),
% 2.63/3.01 skol39 [147, 1] (w:1, o:32, a:1, s:1, b:1),
% 2.63/3.01 skol40 [148, 2] (w:1, o:102, a:1, s:1, b:1),
% 2.63/3.01 skol41 [149, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.63/3.01 skol42 [150, 4] (w:1, o:141, a:1, s:1, b:1),
% 2.63/3.01 skol43 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.63/3.01 skol44 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.63/3.01 skol45 [153, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.63/3.01 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.63/3.01 skol47 [155, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.63/3.01 skol48 [156, 1] (w:1, o:42, a:1, s:1, b:1),
% 2.63/3.01 skol49 [157, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.63/3.01 skol50 [158, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.63/3.01 skol51 [159, 0] (w:1, o:18, a:1, s:1, b:1),
% 2.63/3.01 skol52 [160, 0] (w:1, o:19, a:1, s:1, b:1).
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Starting Search:
% 2.63/3.01
% 2.63/3.01 *** allocated 22500 integers for clauses
% 2.63/3.01 *** allocated 33750 integers for clauses
% 2.63/3.01 *** allocated 50625 integers for clauses
% 2.63/3.01 *** allocated 22500 integers for termspace/termends
% 2.63/3.01 *** allocated 75937 integers for clauses
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 33750 integers for termspace/termends
% 2.63/3.01 *** allocated 113905 integers for clauses
% 2.63/3.01 *** allocated 50625 integers for termspace/termends
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 3741
% 2.63/3.01 Kept: 2050
% 2.63/3.01 Inuse: 226
% 2.63/3.01 Deleted: 6
% 2.63/3.01 Deletedinuse: 1
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 170857 integers for clauses
% 2.63/3.01 *** allocated 75937 integers for termspace/termends
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 256285 integers for clauses
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 7090
% 2.63/3.01 Kept: 4061
% 2.63/3.01 Inuse: 361
% 2.63/3.01 Deleted: 10
% 2.63/3.01 Deletedinuse: 5
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 113905 integers for termspace/termends
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 384427 integers for clauses
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 10359
% 2.63/3.01 Kept: 6095
% 2.63/3.01 Inuse: 486
% 2.63/3.01 Deleted: 12
% 2.63/3.01 Deletedinuse: 7
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 170857 integers for termspace/termends
% 2.63/3.01 *** allocated 576640 integers for clauses
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 14065
% 2.63/3.01 Kept: 8137
% 2.63/3.01 Inuse: 591
% 2.63/3.01 Deleted: 18
% 2.63/3.01 Deletedinuse: 13
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 18732
% 2.63/3.01 Kept: 11169
% 2.63/3.01 Inuse: 676
% 2.63/3.01 Deleted: 25
% 2.63/3.01 Deletedinuse: 20
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 256285 integers for termspace/termends
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 864960 integers for clauses
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 23520
% 2.63/3.01 Kept: 13206
% 2.63/3.01 Inuse: 746
% 2.63/3.01 Deleted: 26
% 2.63/3.01 Deletedinuse: 21
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 32115
% 2.63/3.01 Kept: 15274
% 2.63/3.01 Inuse: 779
% 2.63/3.01 Deleted: 34
% 2.63/3.01 Deletedinuse: 27
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 384427 integers for termspace/termends
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 39975
% 2.63/3.01 Kept: 17342
% 2.63/3.01 Inuse: 837
% 2.63/3.01 Deleted: 67
% 2.63/3.01 Deletedinuse: 58
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 1297440 integers for clauses
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 49330
% 2.63/3.01 Kept: 19582
% 2.63/3.01 Inuse: 894
% 2.63/3.01 Deleted: 89
% 2.63/3.01 Deletedinuse: 62
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 Resimplifying clauses:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 58721
% 2.63/3.01 Kept: 21596
% 2.63/3.01 Inuse: 921
% 2.63/3.01 Deleted: 1908
% 2.63/3.01 Deletedinuse: 63
% 2.63/3.01
% 2.63/3.01 *** allocated 576640 integers for termspace/termends
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 68249
% 2.63/3.01 Kept: 23619
% 2.63/3.01 Inuse: 952
% 2.63/3.01 Deleted: 1912
% 2.63/3.01 Deletedinuse: 63
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 76601
% 2.63/3.01 Kept: 25861
% 2.63/3.01 Inuse: 980
% 2.63/3.01 Deleted: 1918
% 2.63/3.01 Deletedinuse: 64
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 85342
% 2.63/3.01 Kept: 28232
% 2.63/3.01 Inuse: 1022
% 2.63/3.01 Deleted: 1926
% 2.63/3.01 Deletedinuse: 64
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 1946160 integers for clauses
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 96743
% 2.63/3.01 Kept: 30285
% 2.63/3.01 Inuse: 1047
% 2.63/3.01 Deleted: 1928
% 2.63/3.01 Deletedinuse: 66
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01 *** allocated 864960 integers for termspace/termends
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 107605
% 2.63/3.01 Kept: 32695
% 2.63/3.01 Inuse: 1077
% 2.63/3.01 Deleted: 1932
% 2.63/3.01 Deletedinuse: 70
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Intermediate Status:
% 2.63/3.01 Generated: 115451
% 2.63/3.01 Kept: 34730
% 2.63/3.01 Inuse: 1101
% 2.63/3.01 Deleted: 1935
% 2.63/3.01 Deletedinuse: 70
% 2.63/3.01
% 2.63/3.01 Resimplifying inuse:
% 2.63/3.01 Done
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Bliksems!, er is een bewijs:
% 2.63/3.01 % SZS status Theorem
% 2.63/3.01 % SZS output start Refutation
% 2.63/3.01
% 2.63/3.01 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.01 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.63/3.01 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.63/3.01 (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ), ! segmentP(
% 2.63/3.01 skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.01 (284) {G1,W2,D2,L1,V0,M1} I;d(279);r(281) { alpha44( skol52 ) }.
% 2.63/3.01 (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);r(281) { segmentP( skol49, skol52
% 2.63/3.01 ) }.
% 2.63/3.01 (286) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);r(281) { segmentP( skol46, skol52
% 2.63/3.01 ) }.
% 2.63/3.01 (287) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 2.63/3.01 (288) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil ) }.
% 2.63/3.01 (463) {G2,W2,D2,L1,V0,M1} R(287,284) { ssList( skol52 ) }.
% 2.63/3.01 (479) {G2,W3,D2,L1,V0,M1} R(288,284) { neq( skol52, nil ) }.
% 2.63/3.01 (35084) {G3,W6,D2,L2,V0,M2} R(282,479);r(463) { ! segmentP( skol49, skol52
% 2.63/3.01 ), ! segmentP( skol46, skol52 ) }.
% 2.63/3.01 (35658) {G4,W0,D0,L0,V0,M0} S(35084);r(285);r(286) { }.
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 % SZS output end Refutation
% 2.63/3.01 found a proof!
% 2.63/3.01
% 2.63/3.01
% 2.63/3.01 Unprocessed initial clauses:
% 2.63/3.01
% 2.63/3.01 (35660) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.63/3.01 , ! X = Y }.
% 2.63/3.01 (35661) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35662) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.63/3.01 (35663) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.63/3.01 (35664) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.63/3.01 (35665) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.63/3.01 , Y ), ssList( skol2( Z, T ) ) }.
% 2.63/3.01 (35666) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.63/3.01 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.63/3.01 (35667) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.01 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.63/3.01 (35668) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.63/3.01 ) ) }.
% 2.63/3.01 (35669) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.63/3.01 ( X, Y, Z ) ) ) = X }.
% 2.63/3.01 (35670) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.63/3.01 , alpha1( X, Y, Z ) }.
% 2.63/3.01 (35671) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.63/3.01 skol4( Y ) ) }.
% 2.63/3.01 (35672) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.63/3.01 skol4( X ), nil ) = X }.
% 2.63/3.01 (35673) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.63/3.01 nil ) = X, singletonP( X ) }.
% 2.63/3.01 (35674) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.63/3.01 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.63/3.01 (35675) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.63/3.01 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.63/3.01 (35676) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.63/3.01 (35677) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.63/3.01 , Y ), ssList( skol6( Z, T ) ) }.
% 2.63/3.01 (35678) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.63/3.01 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.63/3.01 (35679) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.63/3.01 (35680) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.63/3.01 , Y ), ssList( skol7( Z, T ) ) }.
% 2.63/3.01 (35681) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.63/3.01 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.63/3.01 (35682) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.63/3.01 (35683) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.63/3.01 ) ) }.
% 2.63/3.01 (35684) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.63/3.01 skol8( X, Y, Z ) ) = X }.
% 2.63/3.01 (35685) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.63/3.01 , alpha2( X, Y, Z ) }.
% 2.63/3.01 (35686) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.63/3.01 Y ), alpha3( X, Y ) }.
% 2.63/3.01 (35687) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.63/3.01 cyclefreeP( X ) }.
% 2.63/3.01 (35688) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.63/3.01 cyclefreeP( X ) }.
% 2.63/3.01 (35689) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.63/3.01 , Y, Z ) }.
% 2.63/3.01 (35690) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.63/3.01 (35691) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35692) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.63/3.01 alpha28( X, Y, Z, T ) }.
% 2.63/3.01 (35693) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.63/3.01 Z ) }.
% 2.63/3.01 (35694) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.63/3.01 alpha21( X, Y, Z ) }.
% 2.63/3.01 (35695) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.01 alpha35( X, Y, Z, T, U ) }.
% 2.63/3.01 (35696) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.63/3.01 X, Y, Z, T ) }.
% 2.63/3.01 (35697) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.63/3.01 ), alpha28( X, Y, Z, T ) }.
% 2.63/3.01 (35698) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.01 alpha41( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35699) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.63/3.01 alpha35( X, Y, Z, T, U ) }.
% 2.63/3.01 (35700) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.63/3.01 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.63/3.01 (35701) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.63/3.01 (35702) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.01 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35703) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.63/3.01 W ) }.
% 2.63/3.01 (35704) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.63/3.01 X ) }.
% 2.63/3.01 (35705) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.63/3.01 (35706) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.63/3.01 (35707) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.63/3.01 ( Y ), alpha4( X, Y ) }.
% 2.63/3.01 (35708) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.63/3.01 totalorderP( X ) }.
% 2.63/3.01 (35709) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.63/3.01 totalorderP( X ) }.
% 2.63/3.01 (35710) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.63/3.01 , Y, Z ) }.
% 2.63/3.01 (35711) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.63/3.01 (35712) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35713) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.63/3.01 alpha29( X, Y, Z, T ) }.
% 2.63/3.01 (35714) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.63/3.01 Z ) }.
% 2.63/3.01 (35715) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.63/3.01 alpha22( X, Y, Z ) }.
% 2.63/3.01 (35716) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.01 alpha36( X, Y, Z, T, U ) }.
% 2.63/3.01 (35717) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.63/3.01 X, Y, Z, T ) }.
% 2.63/3.01 (35718) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.63/3.01 ), alpha29( X, Y, Z, T ) }.
% 2.63/3.01 (35719) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.01 alpha42( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35720) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.63/3.01 alpha36( X, Y, Z, T, U ) }.
% 2.63/3.01 (35721) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.63/3.01 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.63/3.01 (35722) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.63/3.01 (35723) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.01 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35724) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.63/3.01 W ) }.
% 2.63/3.01 (35725) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.63/3.01 }.
% 2.63/3.01 (35726) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.63/3.01 (35727) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.63/3.01 (35728) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.63/3.01 ( Y ), alpha5( X, Y ) }.
% 2.63/3.01 (35729) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.63/3.01 strictorderP( X ) }.
% 2.63/3.01 (35730) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.63/3.01 strictorderP( X ) }.
% 2.63/3.01 (35731) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.63/3.01 , Y, Z ) }.
% 2.63/3.01 (35732) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.63/3.01 (35733) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35734) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.63/3.01 alpha30( X, Y, Z, T ) }.
% 2.63/3.01 (35735) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.63/3.01 Z ) }.
% 2.63/3.01 (35736) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.63/3.01 alpha23( X, Y, Z ) }.
% 2.63/3.01 (35737) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.01 alpha37( X, Y, Z, T, U ) }.
% 2.63/3.01 (35738) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.63/3.01 X, Y, Z, T ) }.
% 2.63/3.01 (35739) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.63/3.01 ), alpha30( X, Y, Z, T ) }.
% 2.63/3.01 (35740) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.01 alpha43( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35741) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.63/3.01 alpha37( X, Y, Z, T, U ) }.
% 2.63/3.01 (35742) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.63/3.01 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.63/3.01 (35743) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.63/3.01 (35744) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.01 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35745) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.63/3.01 W ) }.
% 2.63/3.01 (35746) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.63/3.01 }.
% 2.63/3.01 (35747) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.63/3.01 (35748) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.63/3.01 (35749) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.63/3.01 ssItem( Y ), alpha6( X, Y ) }.
% 2.63/3.01 (35750) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.63/3.01 totalorderedP( X ) }.
% 2.63/3.01 (35751) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.63/3.01 totalorderedP( X ) }.
% 2.63/3.01 (35752) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.63/3.01 , Y, Z ) }.
% 2.63/3.01 (35753) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.63/3.01 (35754) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35755) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.63/3.01 alpha24( X, Y, Z, T ) }.
% 2.63/3.01 (35756) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.63/3.01 Z ) }.
% 2.63/3.01 (35757) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.63/3.01 alpha15( X, Y, Z ) }.
% 2.63/3.01 (35758) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.01 alpha31( X, Y, Z, T, U ) }.
% 2.63/3.01 (35759) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.63/3.01 X, Y, Z, T ) }.
% 2.63/3.01 (35760) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.63/3.01 ), alpha24( X, Y, Z, T ) }.
% 2.63/3.01 (35761) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.01 alpha38( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35762) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.63/3.01 alpha31( X, Y, Z, T, U ) }.
% 2.63/3.01 (35763) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.63/3.01 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.63/3.01 (35764) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.63/3.01 (35765) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.01 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35766) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.63/3.01 }.
% 2.63/3.01 (35767) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.63/3.01 ssItem( Y ), alpha7( X, Y ) }.
% 2.63/3.01 (35768) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.63/3.01 strictorderedP( X ) }.
% 2.63/3.01 (35769) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.63/3.01 strictorderedP( X ) }.
% 2.63/3.01 (35770) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.63/3.01 , Y, Z ) }.
% 2.63/3.01 (35771) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.63/3.01 (35772) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35773) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.63/3.01 alpha25( X, Y, Z, T ) }.
% 2.63/3.01 (35774) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.63/3.01 Z ) }.
% 2.63/3.01 (35775) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.63/3.01 alpha16( X, Y, Z ) }.
% 2.63/3.01 (35776) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.01 alpha32( X, Y, Z, T, U ) }.
% 2.63/3.01 (35777) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.63/3.01 X, Y, Z, T ) }.
% 2.63/3.01 (35778) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.63/3.01 ), alpha25( X, Y, Z, T ) }.
% 2.63/3.01 (35779) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.01 alpha39( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35780) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.63/3.01 alpha32( X, Y, Z, T, U ) }.
% 2.63/3.01 (35781) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.63/3.01 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.63/3.01 (35782) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.63/3.01 (35783) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.01 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35784) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.63/3.01 }.
% 2.63/3.01 (35785) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.63/3.01 ssItem( Y ), alpha8( X, Y ) }.
% 2.63/3.01 (35786) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.63/3.01 duplicatefreeP( X ) }.
% 2.63/3.01 (35787) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.63/3.01 duplicatefreeP( X ) }.
% 2.63/3.01 (35788) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.63/3.01 , Y, Z ) }.
% 2.63/3.01 (35789) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.63/3.01 (35790) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35791) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.63/3.01 alpha26( X, Y, Z, T ) }.
% 2.63/3.01 (35792) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.63/3.01 Z ) }.
% 2.63/3.01 (35793) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.63/3.01 alpha17( X, Y, Z ) }.
% 2.63/3.01 (35794) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.01 alpha33( X, Y, Z, T, U ) }.
% 2.63/3.01 (35795) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.63/3.01 X, Y, Z, T ) }.
% 2.63/3.01 (35796) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.63/3.01 ), alpha26( X, Y, Z, T ) }.
% 2.63/3.01 (35797) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.01 alpha40( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35798) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.63/3.01 alpha33( X, Y, Z, T, U ) }.
% 2.63/3.01 (35799) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.63/3.01 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.63/3.01 (35800) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.63/3.01 (35801) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.01 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35802) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.63/3.01 (35803) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.63/3.01 ( Y ), alpha9( X, Y ) }.
% 2.63/3.01 (35804) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.63/3.01 equalelemsP( X ) }.
% 2.63/3.01 (35805) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.63/3.01 equalelemsP( X ) }.
% 2.63/3.01 (35806) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.63/3.01 , Y, Z ) }.
% 2.63/3.01 (35807) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.63/3.01 (35808) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35809) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.63/3.01 alpha27( X, Y, Z, T ) }.
% 2.63/3.01 (35810) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.63/3.01 Z ) }.
% 2.63/3.01 (35811) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.63/3.01 alpha18( X, Y, Z ) }.
% 2.63/3.01 (35812) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.01 alpha34( X, Y, Z, T, U ) }.
% 2.63/3.01 (35813) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.63/3.01 X, Y, Z, T ) }.
% 2.63/3.01 (35814) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.63/3.01 ), alpha27( X, Y, Z, T ) }.
% 2.63/3.01 (35815) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.63/3.01 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.63/3.01 (35816) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.63/3.01 alpha34( X, Y, Z, T, U ) }.
% 2.63/3.01 (35817) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.63/3.01 (35818) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.63/3.01 , ! X = Y }.
% 2.63/3.01 (35819) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.63/3.01 , Y ) }.
% 2.63/3.01 (35820) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.63/3.01 Y, X ) ) }.
% 2.63/3.01 (35821) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.63/3.01 (35822) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.63/3.01 = X }.
% 2.63/3.01 (35823) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.63/3.01 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.63/3.01 (35824) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.63/3.01 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.63/3.01 (35825) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.63/3.01 ) }.
% 2.63/3.01 (35826) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.63/3.01 ) }.
% 2.63/3.01 (35827) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.63/3.01 skol43( X ) ) = X }.
% 2.63/3.01 (35828) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.63/3.01 Y, X ) }.
% 2.63/3.01 (35829) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.63/3.01 }.
% 2.63/3.01 (35830) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.63/3.01 X ) ) = Y }.
% 2.63/3.01 (35831) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.63/3.01 }.
% 2.63/3.01 (35832) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.63/3.01 X ) ) = X }.
% 2.63/3.01 (35833) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.63/3.01 , Y ) ) }.
% 2.63/3.01 (35834) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.63/3.01 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.63/3.01 (35835) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.63/3.01 (35836) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.63/3.01 , ! leq( Y, X ), X = Y }.
% 2.63/3.01 (35837) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.01 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.63/3.01 (35838) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.63/3.01 (35839) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.63/3.01 , leq( Y, X ) }.
% 2.63/3.01 (35840) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.63/3.01 , geq( X, Y ) }.
% 2.63/3.01 (35841) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.63/3.01 , ! lt( Y, X ) }.
% 2.63/3.01 (35842) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.01 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.63/3.01 (35843) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.63/3.01 , lt( Y, X ) }.
% 2.63/3.01 (35844) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.63/3.01 , gt( X, Y ) }.
% 2.63/3.01 (35845) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.63/3.01 (35846) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.63/3.01 (35847) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.63/3.01 (35848) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.01 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.63/3.01 (35849) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.01 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.63/3.01 (35850) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.01 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.63/3.01 (35851) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.63/3.01 (35852) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.63/3.01 (35853) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.63/3.01 (35854) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.63/3.01 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.63/3.01 (35855) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.63/3.01 (35856) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.63/3.01 (35857) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.01 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.63/3.01 (35858) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.01 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.63/3.01 , T ) }.
% 2.63/3.01 (35859) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.01 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.63/3.01 cons( Y, T ) ) }.
% 2.63/3.01 (35860) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.63/3.01 (35861) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.63/3.01 X }.
% 2.63/3.01 (35862) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.63/3.01 ) }.
% 2.63/3.01 (35863) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.63/3.01 (35864) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.63/3.01 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.63/3.01 (35865) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.63/3.01 (35866) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.63/3.01 (35867) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.63/3.01 (35868) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.63/3.01 }.
% 2.63/3.01 (35869) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.63/3.01 }.
% 2.63/3.01 (35870) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.63/3.01 (35871) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.63/3.01 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.63/3.01 (35872) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.63/3.01 (35873) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.63/3.01 }.
% 2.63/3.01 (35874) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.63/3.01 (35875) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.63/3.01 }.
% 2.63/3.01 (35876) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.63/3.01 }.
% 2.63/3.01 (35877) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.63/3.01 }.
% 2.63/3.01 (35878) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.63/3.01 (35879) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.63/3.01 }.
% 2.63/3.01 (35880) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.63/3.01 (35881) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.63/3.01 ) }.
% 2.63/3.01 (35882) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.63/3.01 (35883) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.63/3.01 ) }.
% 2.63/3.01 (35884) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.63/3.01 (35885) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.63/3.01 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.63/3.01 (35886) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.63/3.01 totalorderedP( cons( X, Y ) ) }.
% 2.63/3.01 (35887) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.63/3.01 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.63/3.01 (35888) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.63/3.01 (35889) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.63/3.01 (35890) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.63/3.01 }.
% 2.63/3.01 (35891) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.63/3.01 (35892) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.63/3.01 (35893) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.63/3.01 alpha19( X, Y ) }.
% 2.63/3.01 (35894) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.63/3.01 ) ) }.
% 2.63/3.01 (35895) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.63/3.01 (35896) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.63/3.01 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.63/3.01 (35897) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.63/3.01 strictorderedP( cons( X, Y ) ) }.
% 2.63/3.01 (35898) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.63/3.01 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.63/3.01 (35899) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.63/3.01 (35900) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.63/3.01 (35901) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.63/3.01 }.
% 2.63/3.01 (35902) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.63/3.01 (35903) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.63/3.01 (35904) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.63/3.01 alpha20( X, Y ) }.
% 2.63/3.01 (35905) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.63/3.01 ) ) }.
% 2.63/3.01 (35906) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.63/3.01 (35907) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.63/3.01 }.
% 2.63/3.01 (35908) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.63/3.01 (35909) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.63/3.01 ) }.
% 2.63/3.01 (35910) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.63/3.01 ) }.
% 2.63/3.01 (35911) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.63/3.01 ) }.
% 2.63/3.01 (35912) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.63/3.01 ) }.
% 2.63/3.01 (35913) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.63/3.01 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.63/3.01 (35914) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.63/3.01 X ) ) = X }.
% 2.63/3.01 (35915) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.63/3.01 (35916) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.63/3.01 (35917) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.63/3.01 = app( cons( Y, nil ), X ) }.
% 2.63/3.01 (35918) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.01 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.63/3.01 (35919) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.63/3.01 X, Y ), nil = Y }.
% 2.63/3.01 (35920) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.63/3.01 X, Y ), nil = X }.
% 2.63/3.01 (35921) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.63/3.01 nil = X, nil = app( X, Y ) }.
% 2.63/3.01 (35922) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.63/3.01 (35923) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.63/3.01 app( X, Y ) ) = hd( X ) }.
% 2.63/3.01 (35924) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.63/3.01 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.63/3.01 (35925) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.63/3.01 , ! geq( Y, X ), X = Y }.
% 2.63/3.01 (35926) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.01 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.63/3.01 (35927) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.63/3.01 (35928) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.63/3.01 (35929) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.01 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.63/3.01 (35930) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.63/3.01 , X = Y, lt( X, Y ) }.
% 2.63/3.01 (35931) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.63/3.02 , ! X = Y }.
% 2.63/3.02 (35932) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.63/3.02 , leq( X, Y ) }.
% 2.63/3.02 (35933) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.63/3.02 ( X, Y ), lt( X, Y ) }.
% 2.63/3.02 (35934) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.63/3.02 , ! gt( Y, X ) }.
% 2.63/3.02 (35935) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.02 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.63/3.02 (35936) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.63/3.02 (35937) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.63/3.02 (35938) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.63/3.02 (35939) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.63/3.02 (35940) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.63/3.02 (35941) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.63/3.02 (35942) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 2.63/3.02 (35943) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), ! segmentP
% 2.63/3.02 ( skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.02 (35944) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 2.63/3.02 (35945) {G0,W5,D2,L2,V0,M2} { alpha44( skol52 ), ! neq( skol51, nil ) }.
% 2.63/3.02 (35946) {G0,W6,D2,L2,V0,M2} { segmentP( skol51, skol52 ), ! neq( skol51,
% 2.63/3.02 nil ) }.
% 2.63/3.02 (35947) {G0,W6,D2,L2,V0,M2} { segmentP( skol50, skol52 ), ! neq( skol51,
% 2.63/3.02 nil ) }.
% 2.63/3.02 (35948) {G0,W4,D2,L2,V1,M2} { ! alpha44( X ), ssList( X ) }.
% 2.63/3.02 (35949) {G0,W5,D2,L2,V1,M2} { ! alpha44( X ), neq( X, nil ) }.
% 2.63/3.02 (35950) {G0,W7,D2,L3,V1,M3} { ! ssList( X ), ! neq( X, nil ), alpha44( X )
% 2.63/3.02 }.
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Total Proof:
% 2.63/3.02
% 2.63/3.02 eqswap: (36297) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.63/3.02 parent0[0]: (35940) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.02 parent0: (36297) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02 permutation0:
% 2.63/3.02 0 ==> 0
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 eqswap: (36645) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.63/3.02 parent0[0]: (35941) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.63/3.02 parent0: (36645) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02 permutation0:
% 2.63/3.02 0 ==> 0
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.63/3.02 parent0: (35942) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02 permutation0:
% 2.63/3.02 0 ==> 0
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 subsumption: (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil )
% 2.63/3.02 , ! segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.02 parent0: (35943) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), !
% 2.63/3.02 segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.02 substitution0:
% 2.63/3.02 X := X
% 2.63/3.02 end
% 2.63/3.02 permutation0:
% 2.63/3.02 0 ==> 0
% 2.63/3.02 1 ==> 1
% 2.63/3.02 2 ==> 2
% 2.63/3.02 3 ==> 3
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 paramod: (37993) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), alpha44(
% 2.63/3.02 skol52 ) }.
% 2.63/3.02 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.02 parent1[1; 2]: (35945) {G0,W5,D2,L2,V0,M2} { alpha44( skol52 ), ! neq(
% 2.63/3.02 skol51, nil ) }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02 substitution1:
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 resolution: (37994) {G1,W2,D2,L1,V0,M1} { alpha44( skol52 ) }.
% 2.63/3.02 parent0[0]: (37993) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), alpha44(
% 2.63/3.02 skol52 ) }.
% 2.63/3.02 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02 substitution1:
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 subsumption: (284) {G1,W2,D2,L1,V0,M1} I;d(279);r(281) { alpha44( skol52 )
% 2.63/3.02 }.
% 2.63/3.02 parent0: (37994) {G1,W2,D2,L1,V0,M1} { alpha44( skol52 ) }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02 permutation0:
% 2.63/3.02 0 ==> 0
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 paramod: (38936) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), segmentP(
% 2.63/3.02 skol51, skol52 ) }.
% 2.63/3.02 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.02 parent1[1; 2]: (35946) {G0,W6,D2,L2,V0,M2} { segmentP( skol51, skol52 ), !
% 2.63/3.02 neq( skol51, nil ) }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02 substitution1:
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 paramod: (38938) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol52 ), ! neq(
% 2.63/3.02 skol49, nil ) }.
% 2.63/3.02 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.02 parent1[1; 1]: (38936) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ),
% 2.63/3.02 segmentP( skol51, skol52 ) }.
% 2.63/3.02 substitution0:
% 2.63/3.02 end
% 2.63/3.02 substitution1:
% 2.63/3.02 end
% 2.63/3.02
% 2.63/3.02 resolution: (38939) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol52 ) }.
% 2.63/3.02 parent0[1]: (38938) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol52 ), !
% 2.63/3.03 neq( skol49, nil ) }.
% 2.63/3.03 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);r(281) { segmentP(
% 2.63/3.03 skol49, skol52 ) }.
% 2.63/3.03 parent0: (38939) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol52 ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 paramod: (39885) {G1,W6,D2,L2,V0,M2} { segmentP( skol46, skol52 ), ! neq(
% 2.63/3.03 skol51, nil ) }.
% 2.63/3.03 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.63/3.03 parent1[0; 1]: (35947) {G0,W6,D2,L2,V0,M2} { segmentP( skol50, skol52 ), !
% 2.63/3.03 neq( skol51, nil ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 paramod: (39886) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), segmentP(
% 2.63/3.03 skol46, skol52 ) }.
% 2.63/3.03 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.03 parent1[1; 2]: (39885) {G1,W6,D2,L2,V0,M2} { segmentP( skol46, skol52 ), !
% 2.63/3.03 neq( skol51, nil ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 resolution: (39887) {G1,W3,D2,L1,V0,M1} { segmentP( skol46, skol52 ) }.
% 2.63/3.03 parent0[0]: (39886) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), segmentP(
% 2.63/3.03 skol46, skol52 ) }.
% 2.63/3.03 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (286) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);r(281) { segmentP(
% 2.63/3.03 skol46, skol52 ) }.
% 2.63/3.03 parent0: (39887) {G1,W3,D2,L1,V0,M1} { segmentP( skol46, skol52 ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (287) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 2.63/3.03 parent0: (35948) {G0,W4,D2,L2,V1,M2} { ! alpha44( X ), ssList( X ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 X := X
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 1 ==> 1
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (288) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil )
% 2.63/3.03 }.
% 2.63/3.03 parent0: (35949) {G0,W5,D2,L2,V1,M2} { ! alpha44( X ), neq( X, nil ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 X := X
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 1 ==> 1
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 resolution: (40590) {G1,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.63/3.03 parent0[0]: (287) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 2.63/3.03 parent1[0]: (284) {G1,W2,D2,L1,V0,M1} I;d(279);r(281) { alpha44( skol52 )
% 2.63/3.03 }.
% 2.63/3.03 substitution0:
% 2.63/3.03 X := skol52
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (463) {G2,W2,D2,L1,V0,M1} R(287,284) { ssList( skol52 ) }.
% 2.63/3.03 parent0: (40590) {G1,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 resolution: (40591) {G1,W3,D2,L1,V0,M1} { neq( skol52, nil ) }.
% 2.63/3.03 parent0[0]: (288) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil ) }.
% 2.63/3.03 parent1[0]: (284) {G1,W2,D2,L1,V0,M1} I;d(279);r(281) { alpha44( skol52 )
% 2.63/3.03 }.
% 2.63/3.03 substitution0:
% 2.63/3.03 X := skol52
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (479) {G2,W3,D2,L1,V0,M1} R(288,284) { neq( skol52, nil ) }.
% 2.63/3.03 parent0: (40591) {G1,W3,D2,L1,V0,M1} { neq( skol52, nil ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 resolution: (40592) {G1,W8,D2,L3,V0,M3} { ! ssList( skol52 ), ! segmentP(
% 2.63/3.03 skol49, skol52 ), ! segmentP( skol46, skol52 ) }.
% 2.63/3.03 parent0[1]: (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ),
% 2.63/3.03 ! segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.03 parent1[0]: (479) {G2,W3,D2,L1,V0,M1} R(288,284) { neq( skol52, nil ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 X := skol52
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 resolution: (40593) {G2,W6,D2,L2,V0,M2} { ! segmentP( skol49, skol52 ), !
% 2.63/3.03 segmentP( skol46, skol52 ) }.
% 2.63/3.03 parent0[0]: (40592) {G1,W8,D2,L3,V0,M3} { ! ssList( skol52 ), ! segmentP(
% 2.63/3.03 skol49, skol52 ), ! segmentP( skol46, skol52 ) }.
% 2.63/3.03 parent1[0]: (463) {G2,W2,D2,L1,V0,M1} R(287,284) { ssList( skol52 ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (35084) {G3,W6,D2,L2,V0,M2} R(282,479);r(463) { ! segmentP(
% 2.63/3.03 skol49, skol52 ), ! segmentP( skol46, skol52 ) }.
% 2.63/3.03 parent0: (40593) {G2,W6,D2,L2,V0,M2} { ! segmentP( skol49, skol52 ), !
% 2.63/3.03 segmentP( skol46, skol52 ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 1 ==> 1
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 resolution: (40594) {G2,W3,D2,L1,V0,M1} { ! segmentP( skol46, skol52 ) }.
% 2.63/3.03 parent0[0]: (35084) {G3,W6,D2,L2,V0,M2} R(282,479);r(463) { ! segmentP(
% 2.63/3.03 skol49, skol52 ), ! segmentP( skol46, skol52 ) }.
% 2.63/3.03 parent1[0]: (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);r(281) { segmentP(
% 2.63/3.03 skol49, skol52 ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 resolution: (40595) {G2,W0,D0,L0,V0,M0} { }.
% 2.63/3.03 parent0[0]: (40594) {G2,W3,D2,L1,V0,M1} { ! segmentP( skol46, skol52 ) }.
% 2.63/3.03 parent1[0]: (286) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);r(281) { segmentP(
% 2.63/3.03 skol46, skol52 ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 substitution1:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (35658) {G4,W0,D0,L0,V0,M0} S(35084);r(285);r(286) { }.
% 2.63/3.03 parent0: (40595) {G2,W0,D0,L0,V0,M0} { }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 Proof check complete!
% 2.63/3.03
% 2.63/3.03 Memory use:
% 2.63/3.03
% 2.63/3.03 space for terms: 656166
% 2.63/3.03 space for clauses: 1593171
% 2.63/3.03
% 2.63/3.03
% 2.63/3.03 clauses generated: 119618
% 2.63/3.03 clauses kept: 35659
% 2.63/3.03 clauses selected: 1142
% 2.63/3.03 clauses deleted: 1941
% 2.63/3.03 clauses inuse deleted: 70
% 2.63/3.03
% 2.63/3.03 subsentry: 184534
% 2.63/3.03 literals s-matched: 119395
% 2.63/3.03 literals matched: 102516
% 2.63/3.03 full subsumption: 54475
% 2.63/3.03
% 2.63/3.03 checksum: -1350589111
% 2.63/3.03
% 2.63/3.03
% 2.63/3.03 Bliksem ended
%------------------------------------------------------------------------------