TSTP Solution File: SWC209+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC209+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 19:34:49 EDT 2022
% Result : Theorem 0.43s 1.14s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC209+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jun 12 05:09:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.13 *** allocated 10000 integers for termspace/termends
% 0.43/1.13 *** allocated 10000 integers for clauses
% 0.43/1.13 *** allocated 10000 integers for justifications
% 0.43/1.13 Bliksem 1.12
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 Automatic Strategy Selection
% 0.43/1.13
% 0.43/1.13 *** allocated 15000 integers for termspace/termends
% 0.43/1.13
% 0.43/1.13 Clauses:
% 0.43/1.13
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.43/1.13 { ssItem( skol1 ) }.
% 0.43/1.13 { ssItem( skol47 ) }.
% 0.43/1.13 { ! skol1 = skol47 }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.43/1.13 }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.43/1.13 Y ) ) }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.43/1.13 ( X, Y ) }.
% 0.43/1.13 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.43/1.13 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.43/1.13 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.43/1.13 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.43/1.13 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.43/1.13 ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.43/1.13 ) = X }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.43/1.13 ( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.43/1.13 }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.43/1.13 = X }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.43/1.13 ( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.43/1.13 }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.43/1.13 , Y ) ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.43/1.13 segmentP( X, Y ) }.
% 0.43/1.13 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.43/1.13 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.43/1.13 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.43/1.13 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.43/1.13 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.43/1.13 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.43/1.13 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.43/1.13 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.43/1.13 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.43/1.13 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.43/1.13 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.43/1.13 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.43/1.13 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.43/1.13 .
% 0.43/1.13 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.43/1.13 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.43/1.13 , U ) }.
% 0.43/1.13 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.43/1.13 ) ) = X, alpha12( Y, Z ) }.
% 0.43/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.43/1.13 W ) }.
% 0.43/1.13 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.43/1.13 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.43/1.13 { leq( X, Y ), alpha12( X, Y ) }.
% 0.43/1.13 { leq( Y, X ), alpha12( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.43/1.13 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.43/1.13 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.43/1.13 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.43/1.13 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.43/1.13 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.43/1.13 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.43/1.13 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.43/1.13 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.43/1.13 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.43/1.13 .
% 0.43/1.13 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.43/1.13 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.43/1.13 , U ) }.
% 0.43/1.13 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.43/1.13 ) ) = X, alpha13( Y, Z ) }.
% 0.43/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.43/1.13 W ) }.
% 0.43/1.13 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.43/1.13 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.43/1.13 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.43/1.13 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.43/1.13 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.43/1.13 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.43/1.13 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.43/1.13 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.43/1.13 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.43/1.13 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.43/1.13 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.43/1.13 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.43/1.13 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.43/1.13 .
% 0.43/1.13 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.43/1.13 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.43/1.13 , U ) }.
% 0.43/1.13 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.43/1.13 ) ) = X, alpha14( Y, Z ) }.
% 0.43/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.43/1.13 W ) }.
% 0.43/1.13 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.43/1.13 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.43/1.13 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.43/1.13 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.43/1.13 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.43/1.13 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.43/1.13 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.43/1.13 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.43/1.13 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.43/1.13 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.43/1.13 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.43/1.13 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.43/1.13 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.43/1.13 .
% 0.43/1.13 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.43/1.13 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.43/1.13 , U ) }.
% 0.43/1.13 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.43/1.13 ) ) = X, leq( Y, Z ) }.
% 0.43/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.43/1.13 W ) }.
% 0.43/1.13 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.43/1.13 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.43/1.13 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.43/1.13 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.43/1.13 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.43/1.13 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.43/1.13 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.43/1.13 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.43/1.13 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.43/1.13 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.43/1.13 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.43/1.13 .
% 0.43/1.13 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.43/1.13 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.43/1.13 , U ) }.
% 0.43/1.13 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.43/1.13 ) ) = X, lt( Y, Z ) }.
% 0.43/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.43/1.13 W ) }.
% 0.43/1.13 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.43/1.13 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.43/1.13 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.43/1.13 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.43/1.13 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.43/1.13 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.43/1.13 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.43/1.13 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.43/1.13 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.43/1.13 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.43/1.13 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.43/1.13 .
% 0.43/1.13 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.43/1.13 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.43/1.13 , U ) }.
% 0.43/1.13 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.43/1.13 ) ) = X, ! Y = Z }.
% 0.43/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.43/1.13 W ) }.
% 0.43/1.13 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.43/1.13 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.43/1.13 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.43/1.13 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.43/1.13 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.43/1.13 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.43/1.13 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.43/1.13 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.43/1.13 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.43/1.13 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.43/1.13 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.43/1.13 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.43/1.13 Z }.
% 0.43/1.13 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.43/1.13 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.43/1.13 { ssList( nil ) }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.43/1.13 ) = cons( T, Y ), Z = T }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.43/1.13 ) = cons( T, Y ), Y = X }.
% 0.43/1.13 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.43/1.13 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.43/1.13 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.43/1.13 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.43/1.13 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.43/1.13 ( cons( Z, Y ), X ) }.
% 0.43/1.13 { ! ssList( X ), app( nil, X ) = X }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.43/1.13 , leq( X, Z ) }.
% 0.43/1.13 { ! ssItem( X ), leq( X, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.43/1.13 lt( X, Z ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.43/1.13 , memberP( Y, X ), memberP( Z, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.43/1.13 app( Y, Z ), X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.43/1.13 app( Y, Z ), X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.43/1.13 , X = Y, memberP( Z, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.43/1.13 ), X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.43/1.13 cons( Y, Z ), X ) }.
% 0.43/1.13 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.43/1.13 { ! singletonP( nil ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.43/1.13 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.43/1.13 = Y }.
% 0.43/1.13 { ! ssList( X ), frontsegP( X, X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.43/1.13 frontsegP( app( X, Z ), Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.43/1.13 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.43/1.13 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.43/1.13 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.43/1.13 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.43/1.13 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.43/1.13 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.43/1.13 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.43/1.13 Y }.
% 0.43/1.13 { ! ssList( X ), rearsegP( X, X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.43/1.13 ( app( Z, X ), Y ) }.
% 0.43/1.13 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.43/1.13 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.43/1.13 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.43/1.13 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.43/1.13 Y }.
% 0.43/1.13 { ! ssList( X ), segmentP( X, X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.43/1.13 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.43/1.13 { ! ssList( X ), segmentP( X, nil ) }.
% 0.43/1.13 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.43/1.13 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.43/1.13 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.43/1.13 { cyclefreeP( nil ) }.
% 0.43/1.13 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.43/1.13 { totalorderP( nil ) }.
% 0.43/1.13 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.43/1.13 { strictorderP( nil ) }.
% 0.43/1.13 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.43/1.13 { totalorderedP( nil ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.43/1.13 alpha10( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.43/1.13 .
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.43/1.13 Y ) ) }.
% 0.43/1.13 { ! alpha10( X, Y ), ! nil = Y }.
% 0.43/1.13 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.43/1.13 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.43/1.13 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.43/1.13 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.43/1.13 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.43/1.13 { strictorderedP( nil ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.43/1.13 alpha11( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.43/1.13 .
% 0.43/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.43/1.13 , Y ) ) }.
% 0.43/1.13 { ! alpha11( X, Y ), ! nil = Y }.
% 0.43/1.13 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.43/1.13 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.43/1.13 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.43/1.13 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.43/1.13 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.43/1.13 { duplicatefreeP( nil ) }.
% 0.43/1.13 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.43/1.13 { equalelemsP( nil ) }.
% 0.43/1.13 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.43/1.13 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.43/1.13 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.43/1.13 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.43/1.13 ( Y ) = tl( X ), Y = X }.
% 0.43/1.13 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.43/1.13 , Z = X }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.43/1.13 , Z = X }.
% 0.43/1.13 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.43/1.13 ( X, app( Y, Z ) ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.43/1.13 { ! ssList( X ), app( X, nil ) = X }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.43/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.43/1.13 Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.43/1.13 , geq( X, Z ) }.
% 0.43/1.13 { ! ssItem( X ), geq( X, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! lt( X, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.43/1.13 , lt( X, Z ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.43/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.43/1.13 gt( X, Z ) }.
% 0.43/1.13 { ssList( skol46 ) }.
% 0.43/1.13 { ssList( skol49 ) }.
% 0.43/1.13 { ssList( skol50 ) }.
% 0.43/1.13 { ssList( skol51 ) }.
% 0.43/1.13 { skol49 = skol51 }.
% 0.43/1.13 { skol46 = skol50 }.
% 0.43/1.13 { neq( skol49, nil ) }.
% 0.43/1.13 { ! neq( skol46, nil ) }.
% 0.43/1.13 { alpha44( skol50, skol51 ), neq( skol50, nil ) }.
% 0.43/1.13 { alpha44( skol50, skol51 ), segmentP( skol51, skol50 ) }.
% 0.43/1.13 { ! alpha44( X, Y ), nil = Y }.
% 0.43/1.13 { ! alpha44( X, Y ), nil = X }.
% 0.43/1.13 { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.43/1.13
% 0.43/1.13 *** allocated 15000 integers for clauses
% 0.43/1.13 percentage equality = 0.130896, percentage horn = 0.756944
% 0.43/1.13 This is a problem with some equality
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 Options Used:
% 0.43/1.13
% 0.43/1.13 useres = 1
% 0.43/1.13 useparamod = 1
% 0.43/1.13 useeqrefl = 1
% 0.43/1.13 useeqfact = 1
% 0.43/1.13 usefactor = 1
% 0.43/1.13 usesimpsplitting = 0
% 0.43/1.13 usesimpdemod = 5
% 0.43/1.13 usesimpres = 3
% 0.43/1.13
% 0.43/1.13 resimpinuse = 1000
% 0.43/1.13 resimpclauses = 20000
% 0.43/1.13 substype = eqrewr
% 0.43/1.13 backwardsubs = 1
% 0.43/1.13 selectoldest = 5
% 0.43/1.13
% 0.43/1.13 litorderings [0] = split
% 0.43/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.13
% 0.43/1.13 termordering = kbo
% 0.43/1.13
% 0.43/1.13 litapriori = 0
% 0.43/1.13 termapriori = 1
% 0.43/1.13 litaposteriori = 0
% 0.43/1.13 termaposteriori = 0
% 0.43/1.13 demodaposteriori = 0
% 0.43/1.13 ordereqreflfact = 0
% 0.43/1.13
% 0.43/1.13 litselect = negord
% 0.43/1.13
% 0.43/1.13 maxweight = 15
% 0.43/1.13 maxdepth = 30000
% 0.43/1.13 maxlength = 115
% 0.43/1.13 maxnrvars = 195
% 0.43/1.13 excuselevel = 1
% 0.43/1.13 increasemaxweight = 1
% 0.43/1.13
% 0.43/1.13 maxselected = 10000000
% 0.43/1.13 maxnrclauses = 10000000
% 0.43/1.13
% 0.43/1.13 showgenerated = 0
% 0.43/1.13 showkept = 0
% 0.43/1.13 showselected = 0
% 0.43/1.13 showdeleted = 0
% 0.43/1.13 showresimp = 1
% 0.43/1.13 showstatus = 2000
% 0.43/1.13
% 0.43/1.13 prologoutput = 0
% 0.43/1.13 nrgoals = 5000000
% 0.43/1.13 totalproof = 1
% 0.43/1.13
% 0.43/1.13 Symbols occurring in the translation:
% 0.43/1.13
% 0.43/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.13 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.13 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.43/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.13 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.13 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.43/1.13 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.43/1.13 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.43/1.13 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.43/1.13 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.43/1.13 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.13 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.13 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.43/1.14 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.43/1.14 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.43/1.14 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.14 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.43/1.14 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.43/1.14 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.14 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.43/1.14 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.43/1.14 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.14 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.43/1.14 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.43/1.14 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.14 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.14 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.43/1.14 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.43/1.14 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.43/1.14 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.43/1.14 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.43/1.14 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.43/1.14 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.43/1.14 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.43/1.14 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.43/1.14 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.43/1.14 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.43/1.14 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.43/1.14 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.43/1.14 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.43/1.14 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.43/1.14 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.43/1.14 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.43/1.14 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.43/1.14 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.43/1.14 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.43/1.14 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.43/1.14 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.43/1.14 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.43/1.14 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.43/1.14 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.43/1.14 alpha24 [88, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.43/1.14 alpha25 [89, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.43/1.14 alpha26 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.43/1.14 alpha27 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.43/1.14 alpha28 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.43/1.14 alpha29 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.43/1.14 alpha30 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.43/1.14 alpha31 [95, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.43/1.14 alpha32 [96, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.43/1.14 alpha33 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.43/1.14 alpha34 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.43/1.14 alpha35 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.43/1.14 alpha36 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.43/1.14 alpha37 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.43/1.14 alpha38 [102, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.43/1.14 alpha39 [103, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.43/1.14 alpha40 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.43/1.14 alpha41 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.43/1.14 alpha42 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.43/1.14 alpha43 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.43/1.14 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.43/1.14 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.43/1.14 skol2 [110, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.43/1.14 skol3 [111, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.43/1.14 skol4 [112, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.43/1.14 skol5 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.43/1.14 skol6 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.43/1.14 skol7 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.43/1.14 skol8 [116, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.43/1.14 skol9 [117, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.43/1.14 skol10 [118, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.43/1.14 skol11 [119, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.43/1.14 skol12 [120, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.43/1.14 skol13 [121, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.43/1.14 skol14 [122, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.43/1.14 skol15 [123, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.43/1.14 skol16 [124, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.43/1.14 skol17 [125, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.43/1.14 skol18 [126, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.43/1.14 skol19 [127, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.43/1.14 skol20 [128, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.43/1.14 skol21 [129, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.43/1.14 skol22 [130, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.43/1.14 skol23 [131, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.43/1.14 skol24 [132, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.43/1.14 skol25 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.43/1.14 skol26 [134, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.43/1.14 skol27 [135, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.43/1.14 skol28 [136, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.43/1.14 skol29 [137, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.43/1.14 skol30 [138, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.43/1.14 skol31 [139, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.43/1.14 skol32 [140, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.43/1.14 skol33 [141, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.43/1.14 skol34 [142, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.43/1.14 skol35 [143, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.43/1.14 skol36 [144, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.43/1.14 skol37 [145, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.43/1.14 skol38 [146, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.43/1.14 skol39 [147, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.43/1.14 skol40 [148, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.43/1.14 skol41 [149, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.43/1.14 skol42 [150, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.43/1.14 skol43 [151, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.43/1.14 skol44 [152, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.43/1.14 skol45 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.43/1.14 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.43/1.14 skol47 [155, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.43/1.14 skol48 [156, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.43/1.14 skol49 [157, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.43/1.14 skol50 [158, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.43/1.14 skol51 [159, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14 Starting Search:
% 0.43/1.14
% 0.43/1.14 *** allocated 22500 integers for clauses
% 0.43/1.14 *** allocated 33750 integers for clauses
% 0.43/1.14 *** allocated 50625 integers for clauses
% 0.43/1.14 *** allocated 22500 integers for termspace/termends
% 0.43/1.14 *** allocated 75937 integers for clauses
% 0.43/1.14 Resimplifying inuse:
% 0.43/1.14 Done
% 0.43/1.14
% 0.43/1.14 *** allocated 33750 integers for termspace/termends
% 0.43/1.14
% 0.43/1.14 Bliksems!, er is een bewijs:
% 0.43/1.14 % SZS status Theorem
% 0.43/1.14 % SZS output start Refutation
% 0.43/1.14
% 0.43/1.14 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 0.43/1.14 , ! X = Y }.
% 0.43/1.14 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.43/1.14 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.43/1.14 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.43/1.14 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.43/1.14 (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 0.43/1.14 (283) {G1,W3,D2,L1,V0,M1} I;d(280);d(280);d(279);r(282) { alpha44( skol46,
% 0.43/1.14 skol49 ) }.
% 0.43/1.14 (284) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 0.43/1.14 (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.43/1.14 (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.43/1.14 (321) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X ) }.
% 0.43/1.14 (372) {G1,W6,D2,L2,V1,M2} Q(286) { ! nil = X, alpha44( nil, X ) }.
% 0.43/1.14 (373) {G2,W3,D2,L1,V0,M1} Q(372) { alpha44( nil, nil ) }.
% 0.43/1.14 (643) {G2,W3,D2,L1,V0,M1} R(321,161) { ! neq( nil, nil ) }.
% 0.43/1.14 (714) {G2,W3,D2,L1,V0,M1} R(285,283) { skol46 ==> nil }.
% 0.43/1.14 (1028) {G3,W3,D2,L1,V0,M1} S(283);d(714) { alpha44( nil, skol49 ) }.
% 0.43/1.14 (1055) {G4,W3,D2,L1,V0,M1} R(284,1028) { skol49 ==> nil }.
% 0.43/1.14 (1111) {G5,W3,D2,L1,V1,M1} P(284,281);d(1055);r(643) { ! alpha44( X, nil )
% 0.43/1.14 }.
% 0.43/1.14 (1187) {G6,W0,D0,L0,V0,M0} R(1111,373) { }.
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14 % SZS output end Refutation
% 0.43/1.14 found a proof!
% 0.43/1.14
% 0.43/1.14
% 0.43/1.14 Unprocessed initial clauses:
% 0.43/1.14
% 0.43/1.14 (1189) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 0.43/1.14 , ! X = Y }.
% 0.43/1.14 (1190) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1191) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.43/1.14 (1192) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.43/1.14 (1193) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.43/1.14 (1194) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X,
% 0.43/1.14 Y ), ssList( skol2( Z, T ) ) }.
% 0.43/1.14 (1195) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X,
% 0.43/1.14 Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.43/1.14 (1196) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 0.43/1.14 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.43/1.14 (1197) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W )
% 0.43/1.14 ) }.
% 0.43/1.14 (1198) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 0.43/1.14 ( X, Y, Z ) ) ) = X }.
% 0.43/1.14 (1199) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 0.43/1.14 , alpha1( X, Y, Z ) }.
% 0.43/1.14 (1200) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.43/1.14 skol4( Y ) ) }.
% 0.43/1.14 (1201) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 0.43/1.14 skol4( X ), nil ) = X }.
% 0.43/1.14 (1202) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.43/1.14 ) = X, singletonP( X ) }.
% 0.43/1.14 (1203) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.43/1.14 , Y ), ssList( skol5( Z, T ) ) }.
% 0.43/1.14 (1204) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.43/1.14 , Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.43/1.14 (1205) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.43/1.14 (1206) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.43/1.14 , Y ), ssList( skol6( Z, T ) ) }.
% 0.43/1.14 (1207) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.43/1.14 , Y ), app( skol6( X, Y ), Y ) = X }.
% 0.43/1.14 (1208) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.43/1.14 (1209) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.43/1.14 , Y ), ssList( skol7( Z, T ) ) }.
% 0.43/1.14 (1210) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.43/1.14 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.43/1.14 (1211) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.43/1.14 (1212) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 0.43/1.14 ) }.
% 0.43/1.14 (1213) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8
% 0.43/1.14 ( X, Y, Z ) ) = X }.
% 0.43/1.14 (1214) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 0.43/1.14 alpha2( X, Y, Z ) }.
% 0.43/1.14 (1215) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y
% 0.43/1.14 ), alpha3( X, Y ) }.
% 0.43/1.14 (1216) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.43/1.14 cyclefreeP( X ) }.
% 0.43/1.14 (1217) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.43/1.14 cyclefreeP( X ) }.
% 0.43/1.14 (1218) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X,
% 0.43/1.14 Y, Z ) }.
% 0.43/1.14 (1219) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.43/1.14 (1220) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1221) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28
% 0.43/1.14 ( X, Y, Z, T ) }.
% 0.43/1.14 (1222) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z
% 0.43/1.14 ) }.
% 0.43/1.14 (1223) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.43/1.14 alpha21( X, Y, Z ) }.
% 0.43/1.14 (1224) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.43/1.14 alpha35( X, Y, Z, T, U ) }.
% 0.43/1.14 (1225) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28( X
% 0.43/1.14 , Y, Z, T ) }.
% 0.43/1.14 (1226) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 0.43/1.14 ), alpha28( X, Y, Z, T ) }.
% 0.43/1.14 (1227) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.43/1.14 alpha41( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1228) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.43/1.14 alpha35( X, Y, Z, T, U ) }.
% 0.43/1.14 (1229) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T
% 0.43/1.14 , U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.43/1.14 (1230) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T
% 0.43/1.14 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.43/1.14 (1231) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.43/1.14 = X, alpha41( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1232) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W
% 0.43/1.14 ) }.
% 0.43/1.14 (1233) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X
% 0.43/1.14 ) }.
% 0.43/1.14 (1234) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.43/1.14 (1235) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.43/1.14 (1236) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem(
% 0.43/1.14 Y ), alpha4( X, Y ) }.
% 0.43/1.14 (1237) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.43/1.14 totalorderP( X ) }.
% 0.43/1.14 (1238) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.43/1.14 totalorderP( X ) }.
% 0.43/1.14 (1239) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X,
% 0.43/1.14 Y, Z ) }.
% 0.43/1.14 (1240) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.43/1.14 (1241) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1242) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29
% 0.43/1.14 ( X, Y, Z, T ) }.
% 0.43/1.14 (1243) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z
% 0.43/1.14 ) }.
% 0.43/1.14 (1244) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.43/1.14 alpha22( X, Y, Z ) }.
% 0.43/1.14 (1245) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.43/1.14 alpha36( X, Y, Z, T, U ) }.
% 0.43/1.14 (1246) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29( X
% 0.43/1.14 , Y, Z, T ) }.
% 0.43/1.14 (1247) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 0.43/1.14 ), alpha29( X, Y, Z, T ) }.
% 0.43/1.14 (1248) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.43/1.14 alpha42( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1249) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.43/1.14 alpha36( X, Y, Z, T, U ) }.
% 0.43/1.14 (1250) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T
% 0.43/1.14 , U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.43/1.14 (1251) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T
% 0.43/1.14 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.43/1.14 (1252) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.43/1.14 = X, alpha42( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1253) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W
% 0.43/1.14 ) }.
% 0.43/1.14 (1254) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.43/1.14 }.
% 0.43/1.14 (1255) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.43/1.14 (1256) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.43/1.14 (1257) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 0.43/1.14 ( Y ), alpha5( X, Y ) }.
% 0.43/1.14 (1258) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.43/1.14 strictorderP( X ) }.
% 0.43/1.14 (1259) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.43/1.14 strictorderP( X ) }.
% 0.43/1.14 (1260) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X,
% 0.43/1.14 Y, Z ) }.
% 0.43/1.14 (1261) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.43/1.14 (1262) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1263) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30
% 0.43/1.14 ( X, Y, Z, T ) }.
% 0.43/1.14 (1264) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z
% 0.43/1.14 ) }.
% 0.43/1.14 (1265) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.43/1.14 alpha23( X, Y, Z ) }.
% 0.43/1.14 (1266) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.43/1.14 alpha37( X, Y, Z, T, U ) }.
% 0.43/1.14 (1267) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30( X
% 0.43/1.14 , Y, Z, T ) }.
% 0.43/1.14 (1268) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 0.43/1.14 ), alpha30( X, Y, Z, T ) }.
% 0.43/1.14 (1269) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.43/1.14 alpha43( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1270) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.43/1.14 alpha37( X, Y, Z, T, U ) }.
% 0.43/1.14 (1271) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T
% 0.43/1.14 , U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.43/1.14 (1272) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T
% 0.43/1.14 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.43/1.14 (1273) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.43/1.14 = X, alpha43( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1274) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W
% 0.43/1.14 ) }.
% 0.43/1.14 (1275) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.43/1.14 (1276) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.43/1.14 (1277) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.43/1.14 (1278) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), ! ssItem
% 0.43/1.14 ( Y ), alpha6( X, Y ) }.
% 0.43/1.14 (1279) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.43/1.14 totalorderedP( X ) }.
% 0.43/1.14 (1280) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.43/1.14 totalorderedP( X ) }.
% 0.43/1.14 (1281) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X,
% 0.43/1.14 Y, Z ) }.
% 0.43/1.14 (1282) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.43/1.14 (1283) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1284) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24
% 0.43/1.14 ( X, Y, Z, T ) }.
% 0.43/1.14 (1285) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z
% 0.43/1.14 ) }.
% 0.43/1.14 (1286) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.43/1.14 alpha15( X, Y, Z ) }.
% 0.43/1.14 (1287) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.43/1.14 alpha31( X, Y, Z, T, U ) }.
% 0.43/1.14 (1288) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24( X
% 0.43/1.14 , Y, Z, T ) }.
% 0.43/1.14 (1289) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 0.43/1.14 ), alpha24( X, Y, Z, T ) }.
% 0.43/1.14 (1290) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.43/1.14 alpha38( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1291) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.43/1.14 alpha31( X, Y, Z, T, U ) }.
% 0.43/1.14 (1292) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T
% 0.43/1.14 , U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.43/1.14 (1293) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T
% 0.43/1.14 , cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.43/1.14 (1294) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.43/1.14 = X, alpha38( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1295) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.43/1.14 }.
% 0.43/1.14 (1296) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 0.43/1.14 ssItem( Y ), alpha7( X, Y ) }.
% 0.43/1.14 (1297) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.43/1.14 strictorderedP( X ) }.
% 0.43/1.14 (1298) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.43/1.14 strictorderedP( X ) }.
% 0.43/1.14 (1299) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X,
% 0.43/1.14 Y, Z ) }.
% 0.43/1.14 (1300) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.43/1.14 (1301) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1302) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25
% 0.43/1.14 ( X, Y, Z, T ) }.
% 0.43/1.14 (1303) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z
% 0.43/1.14 ) }.
% 0.43/1.14 (1304) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.43/1.14 alpha16( X, Y, Z ) }.
% 0.43/1.14 (1305) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.43/1.14 alpha32( X, Y, Z, T, U ) }.
% 0.43/1.14 (1306) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25( X
% 0.43/1.14 , Y, Z, T ) }.
% 0.43/1.14 (1307) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 0.43/1.14 ), alpha25( X, Y, Z, T ) }.
% 0.43/1.14 (1308) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.43/1.14 alpha39( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1309) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.43/1.14 alpha32( X, Y, Z, T, U ) }.
% 0.43/1.14 (1310) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T
% 0.43/1.14 , U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.43/1.14 (1311) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T
% 0.43/1.14 , cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.43/1.14 (1312) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.43/1.14 = X, alpha39( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1313) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 0.43/1.14 }.
% 0.43/1.14 (1314) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 0.43/1.14 ssItem( Y ), alpha8( X, Y ) }.
% 0.43/1.14 (1315) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.43/1.14 duplicatefreeP( X ) }.
% 0.43/1.14 (1316) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.43/1.14 duplicatefreeP( X ) }.
% 0.43/1.14 (1317) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X,
% 0.43/1.14 Y, Z ) }.
% 0.43/1.14 (1318) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.43/1.14 (1319) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1320) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26
% 0.43/1.14 ( X, Y, Z, T ) }.
% 0.43/1.14 (1321) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z
% 0.43/1.14 ) }.
% 0.43/1.14 (1322) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.43/1.14 alpha17( X, Y, Z ) }.
% 0.43/1.14 (1323) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.43/1.14 alpha33( X, Y, Z, T, U ) }.
% 0.43/1.14 (1324) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26( X
% 0.43/1.14 , Y, Z, T ) }.
% 0.43/1.14 (1325) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 0.43/1.14 ), alpha26( X, Y, Z, T ) }.
% 0.43/1.14 (1326) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.43/1.14 alpha40( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1327) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.43/1.14 alpha33( X, Y, Z, T, U ) }.
% 0.43/1.14 (1328) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T
% 0.43/1.14 , U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.43/1.14 (1329) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T
% 0.43/1.14 , cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.43/1.14 (1330) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.43/1.14 = X, alpha40( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1331) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.43/1.14 (1332) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem(
% 0.43/1.14 Y ), alpha9( X, Y ) }.
% 0.43/1.14 (1333) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.43/1.14 equalelemsP( X ) }.
% 0.43/1.14 (1334) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.43/1.14 equalelemsP( X ) }.
% 0.43/1.14 (1335) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X,
% 0.43/1.14 Y, Z ) }.
% 0.43/1.14 (1336) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.43/1.14 (1337) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1338) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27
% 0.43/1.14 ( X, Y, Z, T ) }.
% 0.43/1.14 (1339) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z
% 0.43/1.14 ) }.
% 0.43/1.14 (1340) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.43/1.14 alpha18( X, Y, Z ) }.
% 0.43/1.14 (1341) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.43/1.14 alpha34( X, Y, Z, T, U ) }.
% 0.43/1.14 (1342) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27( X
% 0.43/1.14 , Y, Z, T ) }.
% 0.43/1.14 (1343) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 0.43/1.14 ), alpha27( X, Y, Z, T ) }.
% 0.43/1.14 (1344) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons(
% 0.43/1.14 Y, cons( Z, U ) ) ) = X, Y = Z }.
% 0.43/1.14 (1345) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.43/1.14 alpha34( X, Y, Z, T, U ) }.
% 0.43/1.14 (1346) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.43/1.14 (1347) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 0.43/1.14 , ! X = Y }.
% 0.43/1.14 (1348) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 0.43/1.14 , Y ) }.
% 0.43/1.14 (1349) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 0.43/1.14 , X ) ) }.
% 0.43/1.14 (1350) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.43/1.14 (1351) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 0.43/1.14 = X }.
% 0.43/1.14 (1352) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.43/1.14 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.43/1.14 (1353) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.43/1.14 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.43/1.14 (1354) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y ) )
% 0.43/1.14 }.
% 0.43/1.14 (1355) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y ) )
% 0.43/1.14 }.
% 0.43/1.14 (1356) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.43/1.14 skol43( X ) ) = X }.
% 0.43/1.14 (1357) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y
% 0.43/1.14 , X ) }.
% 0.43/1.14 (1358) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.43/1.14 (1359) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X
% 0.43/1.14 ) ) = Y }.
% 0.43/1.14 (1360) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.43/1.14 (1361) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X
% 0.43/1.14 ) ) = X }.
% 0.43/1.14 (1362) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 0.43/1.14 , Y ) ) }.
% 0.43/1.14 (1363) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.43/1.14 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.43/1.14 (1364) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.43/1.14 (1365) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.43/1.14 , ! leq( Y, X ), X = Y }.
% 0.43/1.14 (1366) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.43/1.14 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.43/1.14 (1367) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.43/1.14 (1368) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.43/1.14 , leq( Y, X ) }.
% 0.43/1.14 (1369) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 0.43/1.14 , geq( X, Y ) }.
% 0.43/1.14 (1370) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.43/1.14 ! lt( Y, X ) }.
% 0.43/1.14 (1371) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.43/1.14 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.43/1.14 (1372) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.43/1.14 lt( Y, X ) }.
% 0.43/1.14 (1373) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ),
% 0.43/1.14 gt( X, Y ) }.
% 0.43/1.14 (1374) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.43/1.14 (1375) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.43/1.14 (1376) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.43/1.14 (1377) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.43/1.14 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.43/1.14 (1378) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.43/1.14 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.43/1.14 (1379) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.43/1.14 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.43/1.14 (1380) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.43/1.14 (1381) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.43/1.14 (1382) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.43/1.14 (1383) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.43/1.14 , Y ), ! frontsegP( Y, X ), X = Y }.
% 0.43/1.14 (1384) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.43/1.14 (1385) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.43/1.14 (1386) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.43/1.14 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.43/1.14 (1387) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.43/1.14 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 0.43/1.14 , T ) }.
% 0.43/1.14 (1388) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.43/1.14 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.43/1.14 cons( Y, T ) ) }.
% 0.43/1.14 (1389) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.43/1.14 (1390) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 0.43/1.14 }.
% 0.43/1.14 (1391) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 0.43/1.14 }.
% 0.43/1.14 (1392) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.43/1.14 (1393) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.43/1.14 , Y ), ! rearsegP( Y, X ), X = Y }.
% 0.43/1.14 (1394) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.43/1.14 (1395) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.43/1.14 (1396) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.43/1.14 (1397) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.43/1.14 }.
% 0.43/1.14 (1398) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.43/1.14 }.
% 0.43/1.14 (1399) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.43/1.14 (1400) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.43/1.14 , Y ), ! segmentP( Y, X ), X = Y }.
% 0.43/1.14 (1401) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.43/1.14 (1402) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.43/1.14 }.
% 0.43/1.14 (1403) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.43/1.14 (1404) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.43/1.14 }.
% 0.43/1.14 (1405) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.43/1.14 }.
% 0.43/1.14 (1406) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.43/1.14 }.
% 0.43/1.14 (1407) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.43/1.14 (1408) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.43/1.14 }.
% 0.43/1.14 (1409) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.43/1.14 (1410) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil ) )
% 0.43/1.14 }.
% 0.43/1.14 (1411) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.43/1.14 (1412) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 0.43/1.14 ) }.
% 0.43/1.14 (1413) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.43/1.14 (1414) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.43/1.14 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.43/1.14 (1415) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.43/1.14 totalorderedP( cons( X, Y ) ) }.
% 0.43/1.14 (1416) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X,
% 0.43/1.14 Y ), totalorderedP( cons( X, Y ) ) }.
% 0.43/1.14 (1417) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.43/1.14 (1418) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.43/1.14 (1419) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.43/1.14 }.
% 0.43/1.14 (1420) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.43/1.14 (1421) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.43/1.14 (1422) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.43/1.14 alpha19( X, Y ) }.
% 0.43/1.14 (1423) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil )
% 0.43/1.14 ) }.
% 0.43/1.14 (1424) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.43/1.14 (1425) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.43/1.14 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.43/1.14 (1426) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.43/1.14 strictorderedP( cons( X, Y ) ) }.
% 0.43/1.14 (1427) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X,
% 0.43/1.14 Y ), strictorderedP( cons( X, Y ) ) }.
% 0.43/1.14 (1428) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.43/1.14 (1429) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.43/1.14 (1430) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.43/1.14 }.
% 0.43/1.14 (1431) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.43/1.14 (1432) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.43/1.14 (1433) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.43/1.14 alpha20( X, Y ) }.
% 0.43/1.14 (1434) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 0.43/1.14 ) }.
% 0.43/1.14 (1435) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.43/1.14 (1436) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.43/1.14 }.
% 0.43/1.14 (1437) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.43/1.14 (1438) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y ) )
% 0.43/1.14 }.
% 0.43/1.14 (1439) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 0.43/1.14 ) }.
% 0.43/1.14 (1440) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y ) )
% 0.43/1.14 }.
% 0.43/1.14 (1441) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 0.43/1.14 ) }.
% 0.43/1.14 (1442) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil =
% 0.43/1.14 X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.43/1.14 (1443) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl( X
% 0.43/1.14 ) ) = X }.
% 0.43/1.14 (1444) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.43/1.14 (1445) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.43/1.14 (1446) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) =
% 0.43/1.14 app( cons( Y, nil ), X ) }.
% 0.43/1.14 (1447) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.43/1.14 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.43/1.14 (1448) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.43/1.14 , Y ), nil = Y }.
% 0.43/1.14 (1449) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.43/1.14 , Y ), nil = X }.
% 0.43/1.14 (1450) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.43/1.14 nil = X, nil = app( X, Y ) }.
% 0.43/1.14 (1451) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.43/1.14 (1452) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.43/1.14 app( X, Y ) ) = hd( X ) }.
% 0.43/1.14 (1453) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.43/1.14 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.43/1.14 (1454) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.43/1.14 , ! geq( Y, X ), X = Y }.
% 0.43/1.14 (1455) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.43/1.15 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.43/1.15 (1456) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.43/1.15 (1457) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.43/1.15 (1458) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.43/1.15 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.43/1.15 (1459) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.43/1.15 , X = Y, lt( X, Y ) }.
% 0.43/1.15 (1460) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.43/1.15 ! X = Y }.
% 0.43/1.15 (1461) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.43/1.15 leq( X, Y ) }.
% 0.43/1.15 (1462) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq(
% 0.43/1.15 X, Y ), lt( X, Y ) }.
% 0.43/1.15 (1463) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.43/1.15 ! gt( Y, X ) }.
% 0.43/1.15 (1464) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.43/1.15 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.43/1.15 (1465) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.43/1.15 (1466) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.43/1.15 (1467) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.43/1.15 (1468) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.43/1.15 (1469) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.43/1.15 (1470) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.43/1.15 (1471) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.43/1.15 (1472) {G0,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 0.43/1.15 (1473) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ), neq( skol50, nil )
% 0.43/1.15 }.
% 0.43/1.15 (1474) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ), segmentP( skol51,
% 0.43/1.15 skol50 ) }.
% 0.43/1.15 (1475) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 0.43/1.15 (1476) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = X }.
% 0.43/1.15 (1477) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 Total Proof:
% 0.43/1.15
% 0.43/1.15 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 0.43/1.15 neq( X, Y ), ! X = Y }.
% 0.43/1.15 parent0: (1347) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq
% 0.43/1.15 ( X, Y ), ! X = Y }.
% 0.43/1.15 substitution0:
% 0.43/1.15 X := X
% 0.43/1.15 Y := Y
% 0.43/1.15 end
% 0.43/1.15 permutation0:
% 0.43/1.15 0 ==> 0
% 0.43/1.15 1 ==> 1
% 0.43/1.15 2 ==> 2
% 0.43/1.15 3 ==> 3
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.43/1.15 parent0: (1350) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15 permutation0:
% 0.43/1.15 0 ==> 0
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 *** allocated 113905 integers for clauses
% 0.43/1.15 *** allocated 50625 integers for termspace/termends
% 0.43/1.15 eqswap: (1964) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.43/1.15 parent0[0]: (1469) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.43/1.15 parent0: (1964) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15 permutation0:
% 0.43/1.15 0 ==> 0
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 eqswap: (2312) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.43/1.15 parent0[0]: (1470) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.43/1.15 parent0: (2312) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15 permutation0:
% 0.43/1.15 0 ==> 0
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.43/1.15 parent0: (1471) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15 permutation0:
% 0.43/1.15 0 ==> 0
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 *** allocated 75937 integers for termspace/termends
% 0.43/1.15 subsumption: (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 0.43/1.15 parent0: (1472) {G0,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15 permutation0:
% 0.43/1.15 0 ==> 0
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 *** allocated 170857 integers for clauses
% 0.43/1.15 paramod: (4223) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), alpha44( skol50
% 0.43/1.15 , skol51 ) }.
% 0.43/1.15 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.43/1.15 parent1[1; 1]: (1473) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ), neq
% 0.43/1.15 ( skol50, nil ) }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15 substitution1:
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 paramod: (4225) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol51 ), neq(
% 0.43/1.15 skol46, nil ) }.
% 0.43/1.15 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.43/1.15 parent1[1; 1]: (4223) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), alpha44(
% 0.43/1.15 skol50, skol51 ) }.
% 0.43/1.15 substitution0:
% 0.43/1.15 end
% 0.43/1.15 substitution1:
% 0.43/1.15 end
% 0.43/1.15
% 0.43/1.15 paramod: (4226) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), neq(
% 0.43/1.15 skol46, nil ) }.
% 0.43/1.15 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.43/1.15 parent1[0; 2]: (4225) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol51 ), neq
% 0.43/1.16 ( skol46, nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 resolution: (4227) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol49 ) }.
% 0.43/1.16 parent0[0]: (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 0.43/1.16 parent1[1]: (4226) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), neq(
% 0.43/1.16 skol46, nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (283) {G1,W3,D2,L1,V0,M1} I;d(280);d(280);d(279);r(282) {
% 0.43/1.16 alpha44( skol46, skol49 ) }.
% 0.43/1.16 parent0: (4227) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol49 ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 0.43/1.16 parent0: (1475) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 Y := Y
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 1 ==> 1
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.43/1.16 parent0: (1476) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = X }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 Y := Y
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 1 ==> 1
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X
% 0.43/1.16 , Y ) }.
% 0.43/1.16 parent0: (1477) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha44( X, Y
% 0.43/1.16 ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 Y := Y
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 1 ==> 1
% 0.43/1.16 2 ==> 2
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqswap: (5282) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 0.43/1.16 ), ! neq( X, Y ) }.
% 0.43/1.16 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 0.43/1.16 neq( X, Y ), ! X = Y }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 Y := Y
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 factor: (5283) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X, X )
% 0.43/1.16 }.
% 0.43/1.16 parent0[1, 2]: (5282) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 0.43/1.16 ssList( Y ), ! neq( X, Y ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 Y := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqrefl: (5284) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 0.43/1.16 parent0[0]: (5283) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X
% 0.43/1.16 , X ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (321) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X,
% 0.43/1.16 X ) }.
% 0.43/1.16 parent0: (5284) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 1 ==> 1
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqswap: (5285) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! nil = Y, alpha44( Y, X )
% 0.43/1.16 }.
% 0.43/1.16 parent0[0]: (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X
% 0.43/1.16 , Y ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := Y
% 0.43/1.16 Y := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqrefl: (5289) {G0,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.43/1.16 parent0[1]: (5285) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! nil = Y, alpha44( Y
% 0.43/1.16 , X ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 Y := nil
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqswap: (5290) {G0,W6,D2,L2,V1,M2} { ! nil = X, alpha44( nil, X ) }.
% 0.43/1.16 parent0[0]: (5289) {G0,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (372) {G1,W6,D2,L2,V1,M2} Q(286) { ! nil = X, alpha44( nil, X
% 0.43/1.16 ) }.
% 0.43/1.16 parent0: (5290) {G0,W6,D2,L2,V1,M2} { ! nil = X, alpha44( nil, X ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 1 ==> 1
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqswap: (5292) {G1,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.43/1.16 parent0[0]: (372) {G1,W6,D2,L2,V1,M2} Q(286) { ! nil = X, alpha44( nil, X )
% 0.43/1.16 }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqrefl: (5293) {G0,W3,D2,L1,V0,M1} { alpha44( nil, nil ) }.
% 0.43/1.16 parent0[0]: (5292) {G1,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := nil
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (373) {G2,W3,D2,L1,V0,M1} Q(372) { alpha44( nil, nil ) }.
% 0.43/1.16 parent0: (5293) {G0,W3,D2,L1,V0,M1} { alpha44( nil, nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 resolution: (5294) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 0.43/1.16 parent0[0]: (321) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X
% 0.43/1.16 ) }.
% 0.43/1.16 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := nil
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (643) {G2,W3,D2,L1,V0,M1} R(321,161) { ! neq( nil, nil ) }.
% 0.43/1.16 parent0: (5294) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqswap: (5295) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.43/1.16 parent0[1]: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 Y := Y
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 resolution: (5296) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.43/1.16 parent0[1]: (5295) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.43/1.16 parent1[0]: (283) {G1,W3,D2,L1,V0,M1} I;d(280);d(280);d(279);r(282) {
% 0.43/1.16 alpha44( skol46, skol49 ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := skol46
% 0.43/1.16 Y := skol49
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (714) {G2,W3,D2,L1,V0,M1} R(285,283) { skol46 ==> nil }.
% 0.43/1.16 parent0: (5296) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 paramod: (5299) {G2,W3,D2,L1,V0,M1} { alpha44( nil, skol49 ) }.
% 0.43/1.16 parent0[0]: (714) {G2,W3,D2,L1,V0,M1} R(285,283) { skol46 ==> nil }.
% 0.43/1.16 parent1[0; 1]: (283) {G1,W3,D2,L1,V0,M1} I;d(280);d(280);d(279);r(282) {
% 0.43/1.16 alpha44( skol46, skol49 ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (1028) {G3,W3,D2,L1,V0,M1} S(283);d(714) { alpha44( nil,
% 0.43/1.16 skol49 ) }.
% 0.43/1.16 parent0: (5299) {G2,W3,D2,L1,V0,M1} { alpha44( nil, skol49 ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 eqswap: (5300) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( Y, X ) }.
% 0.43/1.16 parent0[1]: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := Y
% 0.43/1.16 Y := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 resolution: (5301) {G1,W3,D2,L1,V0,M1} { skol49 = nil }.
% 0.43/1.16 parent0[1]: (5300) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( Y, X ) }.
% 0.43/1.16 parent1[0]: (1028) {G3,W3,D2,L1,V0,M1} S(283);d(714) { alpha44( nil, skol49
% 0.43/1.16 ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := skol49
% 0.43/1.16 Y := nil
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (1055) {G4,W3,D2,L1,V0,M1} R(284,1028) { skol49 ==> nil }.
% 0.43/1.16 parent0: (5301) {G1,W3,D2,L1,V0,M1} { skol49 = nil }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 *** allocated 113905 integers for termspace/termends
% 0.43/1.16 eqswap: (5303) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( Y, X ) }.
% 0.43/1.16 parent0[1]: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := Y
% 0.43/1.16 Y := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 paramod: (5306) {G1,W6,D2,L2,V1,M2} { neq( skol49, nil ), ! alpha44( X,
% 0.43/1.16 nil ) }.
% 0.43/1.16 parent0[0]: (5303) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( Y, X ) }.
% 0.43/1.16 parent1[0; 2]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := nil
% 0.43/1.16 Y := X
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 paramod: (5327) {G2,W6,D2,L2,V1,M2} { neq( nil, nil ), ! alpha44( X, nil )
% 0.43/1.16 }.
% 0.43/1.16 parent0[0]: (1055) {G4,W3,D2,L1,V0,M1} R(284,1028) { skol49 ==> nil }.
% 0.43/1.16 parent1[0; 1]: (5306) {G1,W6,D2,L2,V1,M2} { neq( skol49, nil ), ! alpha44
% 0.43/1.16 ( X, nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 X := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 resolution: (5328) {G3,W3,D2,L1,V1,M1} { ! alpha44( X, nil ) }.
% 0.43/1.16 parent0[0]: (643) {G2,W3,D2,L1,V0,M1} R(321,161) { ! neq( nil, nil ) }.
% 0.43/1.16 parent1[0]: (5327) {G2,W6,D2,L2,V1,M2} { neq( nil, nil ), ! alpha44( X,
% 0.43/1.16 nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 X := X
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (1111) {G5,W3,D2,L1,V1,M1} P(284,281);d(1055);r(643) { !
% 0.43/1.16 alpha44( X, nil ) }.
% 0.43/1.16 parent0: (5328) {G3,W3,D2,L1,V1,M1} { ! alpha44( X, nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := X
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 0 ==> 0
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 resolution: (5329) {G3,W0,D0,L0,V0,M0} { }.
% 0.43/1.16 parent0[0]: (1111) {G5,W3,D2,L1,V1,M1} P(284,281);d(1055);r(643) { !
% 0.43/1.16 alpha44( X, nil ) }.
% 0.43/1.16 parent1[0]: (373) {G2,W3,D2,L1,V0,M1} Q(372) { alpha44( nil, nil ) }.
% 0.43/1.16 substitution0:
% 0.43/1.16 X := nil
% 0.43/1.16 end
% 0.43/1.16 substitution1:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 subsumption: (1187) {G6,W0,D0,L0,V0,M0} R(1111,373) { }.
% 0.43/1.16 parent0: (5329) {G3,W0,D0,L0,V0,M0} { }.
% 0.43/1.16 substitution0:
% 0.43/1.16 end
% 0.43/1.16 permutation0:
% 0.43/1.16 end
% 0.43/1.16
% 0.43/1.16 Proof check complete!
% 0.43/1.16
% 0.43/1.16 Memory use:
% 0.43/1.16
% 0.43/1.16 space for terms: 23075
% 0.43/1.16 space for clauses: 60064
% 0.43/1.16
% 0.43/1.16
% 0.43/1.16 clauses generated: 2333
% 0.43/1.16 clauses kept: 1188
% 0.43/1.16 clauses selected: 132
% 0.43/1.16 clauses deleted: 17
% 0.43/1.16 clauses inuse deleted: 12
% 0.43/1.16
% 0.43/1.16 subsentry: 30152
% 0.43/1.16 literals s-matched: 17389
% 0.43/1.16 literals matched: 15455
% 0.43/1.16 full subsumption: 9615
% 0.43/1.16
% 0.43/1.16 checksum: 1525668142
% 0.43/1.16
% 0.43/1.16
% 0.43/1.16 Bliksem ended
%------------------------------------------------------------------------------