TSTP Solution File: SWC369+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC369+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 19:36:18 EDT 2022
% Result : Theorem 1.01s 1.40s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC369+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.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 20:37:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09 *** allocated 15000 integers for termspace/termends
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.09 { ssItem( skol1 ) }.
% 0.72/1.09 { ssItem( skol47 ) }.
% 0.72/1.09 { ! skol1 = skol47 }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.72/1.09 }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.72/1.09 Y ) ) }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.72/1.09 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.72/1.09 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.72/1.09 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.72/1.09 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.72/1.09 ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.72/1.09 ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.72/1.09 }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.72/1.09 = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.72/1.09 }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.72/1.09 , Y ) ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.72/1.09 segmentP( X, Y ) }.
% 0.72/1.09 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.72/1.09 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.72/1.09 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.72/1.09 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.72/1.09 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.72/1.09 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.09 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.72/1.09 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.72/1.09 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.72/1.09 .
% 0.72/1.09 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.72/1.09 , U ) }.
% 0.72/1.09 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.09 ) ) = X, alpha12( Y, Z ) }.
% 0.72/1.09 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.72/1.09 W ) }.
% 0.72/1.09 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.72/1.09 { leq( X, Y ), alpha12( X, Y ) }.
% 0.72/1.09 { leq( Y, X ), alpha12( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.72/1.09 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.72/1.09 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.72/1.09 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.72/1.09 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.72/1.09 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.72/1.10 .
% 0.72/1.10 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.10 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.72/1.10 , U ) }.
% 0.72/1.10 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.10 ) ) = X, alpha13( Y, Z ) }.
% 0.72/1.10 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.72/1.10 W ) }.
% 0.72/1.10 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.72/1.10 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.72/1.10 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.72/1.10 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.72/1.10 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.72/1.10 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.72/1.10 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.72/1.10 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.72/1.10 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.72/1.10 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.72/1.10 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.72/1.10 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.10 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.72/1.10 .
% 0.72/1.10 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.10 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.72/1.10 , U ) }.
% 0.72/1.10 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.10 ) ) = X, alpha14( Y, Z ) }.
% 0.72/1.10 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.72/1.10 W ) }.
% 0.72/1.10 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.72/1.10 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.72/1.10 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.72/1.10 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.72/1.10 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.72/1.10 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.72/1.10 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.72/1.10 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.72/1.10 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.72/1.10 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.72/1.10 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.72/1.10 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.10 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.72/1.10 .
% 0.72/1.10 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.10 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.72/1.10 , U ) }.
% 0.72/1.10 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.10 ) ) = X, leq( Y, Z ) }.
% 0.72/1.10 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.72/1.10 W ) }.
% 0.72/1.10 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.72/1.10 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.72/1.10 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.72/1.10 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.72/1.10 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.72/1.10 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.72/1.10 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.10 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.72/1.10 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.72/1.10 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.10 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.72/1.10 .
% 0.72/1.10 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.10 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.72/1.10 , U ) }.
% 0.72/1.10 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.10 ) ) = X, lt( Y, Z ) }.
% 0.72/1.10 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.72/1.10 W ) }.
% 0.72/1.10 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.72/1.10 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.72/1.10 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.72/1.10 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.72/1.10 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.72/1.10 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.72/1.10 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.10 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.72/1.10 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.72/1.10 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.10 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.72/1.10 .
% 0.72/1.10 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.10 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.72/1.10 , U ) }.
% 0.72/1.10 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.10 ) ) = X, ! Y = Z }.
% 0.72/1.10 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.72/1.10 W ) }.
% 0.72/1.10 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.72/1.10 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.72/1.10 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.72/1.10 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.72/1.10 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.72/1.10 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.72/1.10 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.72/1.10 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.72/1.10 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.72/1.10 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.72/1.10 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.72/1.10 Z }.
% 0.72/1.10 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.10 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.72/1.10 { ssList( nil ) }.
% 0.72/1.10 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.10 ) = cons( T, Y ), Z = T }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.10 ) = cons( T, Y ), Y = X }.
% 0.72/1.10 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.72/1.10 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.72/1.10 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.72/1.10 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.72/1.10 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.72/1.10 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.72/1.10 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.72/1.10 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.72/1.10 ( cons( Z, Y ), X ) }.
% 0.72/1.10 { ! ssList( X ), app( nil, X ) = X }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.72/1.10 , leq( X, Z ) }.
% 0.72/1.10 { ! ssItem( X ), leq( X, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.72/1.10 lt( X, Z ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.72/1.10 , memberP( Y, X ), memberP( Z, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.72/1.10 app( Y, Z ), X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.10 app( Y, Z ), X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.72/1.10 , X = Y, memberP( Z, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.72/1.10 ), X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.10 cons( Y, Z ), X ) }.
% 0.72/1.10 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.72/1.10 { ! singletonP( nil ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.72/1.10 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.72/1.10 = Y }.
% 0.72/1.10 { ! ssList( X ), frontsegP( X, X ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.72/1.10 frontsegP( app( X, Z ), Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.10 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.10 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.72/1.10 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.72/1.10 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.72/1.10 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.72/1.10 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.72/1.10 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.72/1.10 Y }.
% 0.72/1.10 { ! ssList( X ), rearsegP( X, X ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.72/1.10 ( app( Z, X ), Y ) }.
% 0.72/1.10 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.72/1.10 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.72/1.10 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.72/1.10 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.72/1.10 Y }.
% 0.72/1.10 { ! ssList( X ), segmentP( X, X ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.72/1.10 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.72/1.10 { ! ssList( X ), segmentP( X, nil ) }.
% 0.72/1.10 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.72/1.10 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.72/1.10 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.72/1.10 { cyclefreeP( nil ) }.
% 0.72/1.10 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.72/1.10 { totalorderP( nil ) }.
% 0.72/1.10 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.72/1.10 { strictorderP( nil ) }.
% 0.72/1.10 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.72/1.10 { totalorderedP( nil ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.10 alpha10( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.72/1.10 .
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.72/1.10 Y ) ) }.
% 0.72/1.10 { ! alpha10( X, Y ), ! nil = Y }.
% 0.72/1.10 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.72/1.10 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.72/1.10 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.72/1.10 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.72/1.10 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.72/1.10 { strictorderedP( nil ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.10 alpha11( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.72/1.10 .
% 0.72/1.10 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.72/1.10 , Y ) ) }.
% 0.72/1.10 { ! alpha11( X, Y ), ! nil = Y }.
% 0.72/1.10 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.72/1.10 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.72/1.10 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.72/1.10 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.72/1.10 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.72/1.10 { duplicatefreeP( nil ) }.
% 0.72/1.10 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.72/1.10 { equalelemsP( nil ) }.
% 0.72/1.10 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.72/1.10 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.72/1.10 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.72/1.10 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.72/1.10 ( Y ) = tl( X ), Y = X }.
% 0.72/1.10 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.72/1.10 , Z = X }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.72/1.10 , Z = X }.
% 0.72/1.10 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.72/1.10 ( X, app( Y, Z ) ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.72/1.10 { ! ssList( X ), app( X, nil ) = X }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.72/1.10 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.72/1.10 Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.72/1.10 , geq( X, Z ) }.
% 0.72/1.10 { ! ssItem( X ), geq( X, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! lt( X, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.72/1.10 , lt( X, Z ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.72/1.10 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.72/1.10 gt( X, Z ) }.
% 0.72/1.10 { ssList( skol46 ) }.
% 0.72/1.10 { ssList( skol49 ) }.
% 0.72/1.10 { ssList( skol50 ) }.
% 0.72/1.10 { ssList( skol51 ) }.
% 0.72/1.10 { skol49 = skol51 }.
% 0.72/1.10 { skol46 = skol50 }.
% 0.72/1.10 { ! segmentP( skol49, skol46 ) }.
% 0.72/1.10 { nil = skol50, ! nil = skol51 }.
% 0.72/1.10 { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 0.72/1.10 { ! neq( skol51, nil ), segmentP( skol51, skol50 ) }.
% 0.72/1.10
% 0.72/1.10 *** allocated 15000 integers for clauses
% 0.72/1.10 percentage equality = 0.129454, percentage horn = 0.761404
% 0.72/1.10 This is a problem with some equality
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Options Used:
% 0.72/1.10
% 0.72/1.10 useres = 1
% 0.72/1.10 useparamod = 1
% 0.72/1.10 useeqrefl = 1
% 0.72/1.10 useeqfact = 1
% 0.72/1.10 usefactor = 1
% 0.72/1.10 usesimpsplitting = 0
% 0.72/1.10 usesimpdemod = 5
% 0.72/1.10 usesimpres = 3
% 0.72/1.10
% 0.72/1.10 resimpinuse = 1000
% 0.72/1.10 resimpclauses = 20000
% 0.72/1.10 substype = eqrewr
% 0.72/1.10 backwardsubs = 1
% 0.72/1.10 selectoldest = 5
% 0.72/1.10
% 0.72/1.10 litorderings [0] = split
% 0.72/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.10
% 0.72/1.10 termordering = kbo
% 0.72/1.10
% 0.72/1.10 litapriori = 0
% 0.72/1.10 termapriori = 1
% 0.72/1.10 litaposteriori = 0
% 0.72/1.10 termaposteriori = 0
% 0.72/1.10 demodaposteriori = 0
% 0.72/1.10 ordereqreflfact = 0
% 0.72/1.10
% 0.72/1.10 litselect = negord
% 0.72/1.10
% 0.72/1.10 maxweight = 15
% 0.72/1.10 maxdepth = 30000
% 0.72/1.10 maxlength = 115
% 0.72/1.10 maxnrvars = 195
% 0.72/1.10 excuselevel = 1
% 0.72/1.10 increasemaxweight = 1
% 0.72/1.10
% 0.72/1.10 maxselected = 10000000
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10
% 0.72/1.10 showgenerated = 0
% 0.72/1.10 showkept = 0
% 0.72/1.10 showselected = 0
% 0.72/1.10 showdeleted = 0
% 0.72/1.10 showresimp = 1
% 0.72/1.10 showstatus = 2000
% 0.72/1.10
% 0.72/1.10 prologoutput = 0
% 0.72/1.10 nrgoals = 5000000
% 0.72/1.10 totalproof = 1
% 0.72/1.10
% 0.72/1.10 Symbols occurring in the translation:
% 0.72/1.10
% 0.72/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.10 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.10 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.72/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.10 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.72/1.10 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.10 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.72/1.10 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.72/1.10 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.72/1.10 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.10 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.10 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.72/1.10 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.72/1.10 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.01/1.40 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.01/1.40 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.01/1.40 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.01/1.40 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.01/1.40 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.01/1.40 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.01/1.40 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.01/1.40 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.01/1.40 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.01/1.40 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.01/1.40 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.01/1.40 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.01/1.40 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.01/1.40 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 1.01/1.40 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.01/1.40 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.01/1.40 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.01/1.40 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.01/1.40 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.01/1.40 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.01/1.40 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.01/1.40 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.01/1.40 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.01/1.40 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.01/1.40 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.01/1.40 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.01/1.40 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.01/1.40 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.01/1.40 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.01/1.40 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.01/1.40 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.01/1.40 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.01/1.40 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.01/1.40 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.01/1.40 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.01/1.40 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.01/1.40 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 1.01/1.40 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.01/1.40 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.01/1.40 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.01/1.40 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.01/1.40 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.01/1.40 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.01/1.40 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 1.01/1.40 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.01/1.40 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.01/1.40 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.01/1.40 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.01/1.40 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.01/1.40 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.01/1.40 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 1.01/1.40 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.01/1.40 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.01/1.40 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.01/1.40 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.01/1.40 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.01/1.40 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.01/1.40 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.01/1.40 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.01/1.40 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.01/1.40 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.01/1.40 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.01/1.40 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.01/1.40 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.01/1.40 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.01/1.40 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.01/1.40 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.01/1.40 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.01/1.40 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.01/1.40 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.01/1.40 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.01/1.40 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.01/1.40 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.01/1.40 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.01/1.40 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.01/1.40 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.01/1.40 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.01/1.40 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.01/1.40 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.01/1.40 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.01/1.40 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.01/1.40 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.01/1.40 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.01/1.40 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.01/1.40 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.01/1.40 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.01/1.40 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.01/1.40 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.01/1.40 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.01/1.40 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.01/1.40 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.01/1.40 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.01/1.40 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.01/1.40 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.01/1.40 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.01/1.40 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.01/1.40 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.01/1.40 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.01/1.40 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.01/1.40 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.01/1.40 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.01/1.40 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.01/1.40 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.01/1.40 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.01/1.40 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.01/1.40 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.01/1.40 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 Starting Search:
% 1.01/1.40
% 1.01/1.40 *** allocated 22500 integers for clauses
% 1.01/1.40 *** allocated 33750 integers for clauses
% 1.01/1.40 *** allocated 50625 integers for clauses
% 1.01/1.40 *** allocated 22500 integers for termspace/termends
% 1.01/1.40 *** allocated 75937 integers for clauses
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 *** allocated 33750 integers for termspace/termends
% 1.01/1.40 *** allocated 113905 integers for clauses
% 1.01/1.40 *** allocated 50625 integers for termspace/termends
% 1.01/1.40
% 1.01/1.40 Intermediate Status:
% 1.01/1.40 Generated: 3728
% 1.01/1.40 Kept: 2001
% 1.01/1.40 Inuse: 210
% 1.01/1.40 Deleted: 8
% 1.01/1.40 Deletedinuse: 2
% 1.01/1.40
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 *** allocated 170857 integers for clauses
% 1.01/1.40 *** allocated 75937 integers for termspace/termends
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 *** allocated 256285 integers for clauses
% 1.01/1.40
% 1.01/1.40 Intermediate Status:
% 1.01/1.40 Generated: 6841
% 1.01/1.40 Kept: 4046
% 1.01/1.40 Inuse: 380
% 1.01/1.40 Deleted: 11
% 1.01/1.40 Deletedinuse: 5
% 1.01/1.40
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 *** allocated 113905 integers for termspace/termends
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 *** allocated 384427 integers for clauses
% 1.01/1.40
% 1.01/1.40 Intermediate Status:
% 1.01/1.40 Generated: 10342
% 1.01/1.40 Kept: 6053
% 1.01/1.40 Inuse: 494
% 1.01/1.40 Deleted: 21
% 1.01/1.40 Deletedinuse: 15
% 1.01/1.40
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 *** allocated 170857 integers for termspace/termends
% 1.01/1.40 *** allocated 576640 integers for clauses
% 1.01/1.40
% 1.01/1.40 Intermediate Status:
% 1.01/1.40 Generated: 13451
% 1.01/1.40 Kept: 8100
% 1.01/1.40 Inuse: 595
% 1.01/1.40 Deleted: 22
% 1.01/1.40 Deletedinuse: 15
% 1.01/1.40
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 Intermediate Status:
% 1.01/1.40 Generated: 17278
% 1.01/1.40 Kept: 10596
% 1.01/1.40 Inuse: 673
% 1.01/1.40 Deleted: 35
% 1.01/1.40 Deletedinuse: 27
% 1.01/1.40
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 *** allocated 256285 integers for termspace/termends
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40 *** allocated 864960 integers for clauses
% 1.01/1.40
% 1.01/1.40 Intermediate Status:
% 1.01/1.40 Generated: 21730
% 1.01/1.40 Kept: 12656
% 1.01/1.40 Inuse: 743
% 1.01/1.40 Deleted: 35
% 1.01/1.40 Deletedinuse: 27
% 1.01/1.40
% 1.01/1.40 Resimplifying inuse:
% 1.01/1.40 Done
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 Bliksems!, er is een bewijs:
% 1.01/1.40 % SZS status Theorem
% 1.01/1.40 % SZS output start Refutation
% 1.01/1.40
% 1.01/1.40 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.01/1.40 , ! X = Y }.
% 1.01/1.40 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.01/1.40 (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil ) }.
% 1.01/1.40 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.01/1.40 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.01/1.40 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.01/1.40 (281) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 1.01/1.40 (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, ! skol49 ==>
% 1.01/1.40 nil }.
% 1.01/1.40 (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) { ! neq( skol49,
% 1.01/1.40 nil ) }.
% 1.01/1.40 (319) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X ) }.
% 1.01/1.40 (465) {G1,W3,D2,L1,V0,M1} R(214,276) { segmentP( skol49, nil ) }.
% 1.01/1.40 (636) {G2,W3,D2,L1,V0,M1} R(319,161) { ! neq( nil, nil ) }.
% 1.01/1.40 (872) {G2,W3,D2,L1,V0,M1} P(282,281);r(465) { ! skol49 ==> nil }.
% 1.01/1.40 (12882) {G2,W5,D2,L2,V0,M2} R(159,284);r(276) { ! ssList( nil ), skol49 ==>
% 1.01/1.40 nil }.
% 1.01/1.40 (13300) {G3,W8,D2,L3,V1,M3} P(159,872);r(276) { ! X = nil, ! ssList( X ),
% 1.01/1.40 neq( X, skol49 ) }.
% 1.01/1.40 (13423) {G4,W3,D2,L1,V0,M1} Q(13300);d(12882);r(161) { neq( nil, nil ) }.
% 1.01/1.40 (13458) {G5,W0,D0,L0,V0,M0} S(13423);r(636) { }.
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 % SZS output end Refutation
% 1.01/1.40 found a proof!
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 Unprocessed initial clauses:
% 1.01/1.40
% 1.01/1.40 (13460) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.01/1.40 , ! X = Y }.
% 1.01/1.40 (13461) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13462) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.01/1.40 (13463) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.01/1.40 (13464) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.01/1.40 (13465) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.01/1.40 , Y ), ssList( skol2( Z, T ) ) }.
% 1.01/1.40 (13466) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.01/1.40 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.01/1.40 (13467) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.01/1.40 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.01/1.40 (13468) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.01/1.40 ) ) }.
% 1.01/1.40 (13469) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.01/1.40 ( X, Y, Z ) ) ) = X }.
% 1.01/1.40 (13470) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.01/1.40 , alpha1( X, Y, Z ) }.
% 1.01/1.40 (13471) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.01/1.40 skol4( Y ) ) }.
% 1.01/1.40 (13472) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.01/1.40 skol4( X ), nil ) = X }.
% 1.01/1.40 (13473) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.01/1.40 nil ) = X, singletonP( X ) }.
% 1.01/1.40 (13474) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.01/1.40 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.01/1.40 (13475) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.01/1.40 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.01/1.40 (13476) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.01/1.40 (13477) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.01/1.40 , Y ), ssList( skol6( Z, T ) ) }.
% 1.01/1.40 (13478) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.01/1.40 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.01/1.40 (13479) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.01/1.40 (13480) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.01/1.40 , Y ), ssList( skol7( Z, T ) ) }.
% 1.01/1.40 (13481) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.01/1.40 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.01/1.40 (13482) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.01/1.40 (13483) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.01/1.40 ) ) }.
% 1.01/1.40 (13484) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.01/1.40 skol8( X, Y, Z ) ) = X }.
% 1.01/1.40 (13485) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.01/1.40 , alpha2( X, Y, Z ) }.
% 1.01/1.40 (13486) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.01/1.40 Y ), alpha3( X, Y ) }.
% 1.01/1.40 (13487) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.01/1.40 cyclefreeP( X ) }.
% 1.01/1.40 (13488) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.01/1.40 cyclefreeP( X ) }.
% 1.01/1.40 (13489) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.01/1.40 , Y, Z ) }.
% 1.01/1.40 (13490) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.01/1.40 (13491) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13492) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.01/1.40 alpha28( X, Y, Z, T ) }.
% 1.01/1.40 (13493) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.01/1.40 Z ) }.
% 1.01/1.40 (13494) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.01/1.40 alpha21( X, Y, Z ) }.
% 1.01/1.40 (13495) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.01/1.40 alpha35( X, Y, Z, T, U ) }.
% 1.01/1.40 (13496) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.01/1.40 X, Y, Z, T ) }.
% 1.01/1.40 (13497) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.01/1.40 ), alpha28( X, Y, Z, T ) }.
% 1.01/1.40 (13498) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.01/1.40 alpha41( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13499) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.01/1.40 alpha35( X, Y, Z, T, U ) }.
% 1.01/1.40 (13500) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.01/1.40 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.01/1.40 (13501) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.01/1.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.01/1.40 (13502) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.01/1.40 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13503) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.01/1.40 W ) }.
% 1.01/1.40 (13504) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.01/1.40 X ) }.
% 1.01/1.40 (13505) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.01/1.40 (13506) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.01/1.40 (13507) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.01/1.40 ( Y ), alpha4( X, Y ) }.
% 1.01/1.40 (13508) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.01/1.40 totalorderP( X ) }.
% 1.01/1.40 (13509) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.01/1.40 totalorderP( X ) }.
% 1.01/1.40 (13510) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.01/1.40 , Y, Z ) }.
% 1.01/1.40 (13511) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.01/1.40 (13512) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13513) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.01/1.40 alpha29( X, Y, Z, T ) }.
% 1.01/1.40 (13514) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.01/1.40 Z ) }.
% 1.01/1.40 (13515) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.01/1.40 alpha22( X, Y, Z ) }.
% 1.01/1.40 (13516) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.01/1.40 alpha36( X, Y, Z, T, U ) }.
% 1.01/1.40 (13517) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.01/1.40 X, Y, Z, T ) }.
% 1.01/1.40 (13518) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.01/1.40 ), alpha29( X, Y, Z, T ) }.
% 1.01/1.40 (13519) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.01/1.40 alpha42( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13520) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.01/1.40 alpha36( X, Y, Z, T, U ) }.
% 1.01/1.40 (13521) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.01/1.40 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.01/1.40 (13522) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.01/1.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.01/1.40 (13523) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.01/1.40 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13524) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.01/1.40 W ) }.
% 1.01/1.40 (13525) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.01/1.40 }.
% 1.01/1.40 (13526) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.01/1.40 (13527) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.01/1.40 (13528) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.01/1.40 ( Y ), alpha5( X, Y ) }.
% 1.01/1.40 (13529) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.01/1.40 strictorderP( X ) }.
% 1.01/1.40 (13530) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.01/1.40 strictorderP( X ) }.
% 1.01/1.40 (13531) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.01/1.40 , Y, Z ) }.
% 1.01/1.40 (13532) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.01/1.40 (13533) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13534) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.01/1.40 alpha30( X, Y, Z, T ) }.
% 1.01/1.40 (13535) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.01/1.40 Z ) }.
% 1.01/1.40 (13536) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.01/1.40 alpha23( X, Y, Z ) }.
% 1.01/1.40 (13537) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.01/1.40 alpha37( X, Y, Z, T, U ) }.
% 1.01/1.40 (13538) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.01/1.40 X, Y, Z, T ) }.
% 1.01/1.40 (13539) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.01/1.40 ), alpha30( X, Y, Z, T ) }.
% 1.01/1.40 (13540) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.01/1.40 alpha43( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13541) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.01/1.40 alpha37( X, Y, Z, T, U ) }.
% 1.01/1.40 (13542) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.01/1.40 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.01/1.40 (13543) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.01/1.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.01/1.40 (13544) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.01/1.40 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13545) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.01/1.40 W ) }.
% 1.01/1.40 (13546) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.01/1.40 }.
% 1.01/1.40 (13547) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.01/1.40 (13548) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.01/1.40 (13549) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.01/1.40 ssItem( Y ), alpha6( X, Y ) }.
% 1.01/1.40 (13550) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.01/1.40 totalorderedP( X ) }.
% 1.01/1.40 (13551) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.01/1.40 totalorderedP( X ) }.
% 1.01/1.40 (13552) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.01/1.40 , Y, Z ) }.
% 1.01/1.40 (13553) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.01/1.40 (13554) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13555) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.01/1.40 alpha24( X, Y, Z, T ) }.
% 1.01/1.40 (13556) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.01/1.40 Z ) }.
% 1.01/1.40 (13557) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.01/1.40 alpha15( X, Y, Z ) }.
% 1.01/1.40 (13558) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.01/1.40 alpha31( X, Y, Z, T, U ) }.
% 1.01/1.40 (13559) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.01/1.40 X, Y, Z, T ) }.
% 1.01/1.40 (13560) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.01/1.40 ), alpha24( X, Y, Z, T ) }.
% 1.01/1.40 (13561) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.01/1.40 alpha38( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13562) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.01/1.40 alpha31( X, Y, Z, T, U ) }.
% 1.01/1.40 (13563) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.01/1.40 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.01/1.40 (13564) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.01/1.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.01/1.40 (13565) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.01/1.40 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13566) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.01/1.40 }.
% 1.01/1.40 (13567) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.01/1.40 ssItem( Y ), alpha7( X, Y ) }.
% 1.01/1.40 (13568) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.01/1.40 strictorderedP( X ) }.
% 1.01/1.40 (13569) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.01/1.40 strictorderedP( X ) }.
% 1.01/1.40 (13570) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.01/1.40 , Y, Z ) }.
% 1.01/1.40 (13571) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.01/1.40 (13572) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13573) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.01/1.40 alpha25( X, Y, Z, T ) }.
% 1.01/1.40 (13574) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.01/1.40 Z ) }.
% 1.01/1.40 (13575) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.01/1.40 alpha16( X, Y, Z ) }.
% 1.01/1.40 (13576) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.01/1.40 alpha32( X, Y, Z, T, U ) }.
% 1.01/1.40 (13577) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.01/1.40 X, Y, Z, T ) }.
% 1.01/1.40 (13578) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.01/1.40 ), alpha25( X, Y, Z, T ) }.
% 1.01/1.40 (13579) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.01/1.40 alpha39( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13580) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.01/1.40 alpha32( X, Y, Z, T, U ) }.
% 1.01/1.40 (13581) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.01/1.40 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.01/1.40 (13582) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.01/1.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.01/1.40 (13583) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.01/1.40 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13584) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.01/1.40 }.
% 1.01/1.40 (13585) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.01/1.40 ssItem( Y ), alpha8( X, Y ) }.
% 1.01/1.40 (13586) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.01/1.40 duplicatefreeP( X ) }.
% 1.01/1.40 (13587) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.01/1.40 duplicatefreeP( X ) }.
% 1.01/1.40 (13588) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.01/1.40 , Y, Z ) }.
% 1.01/1.40 (13589) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.01/1.40 (13590) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13591) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.01/1.40 alpha26( X, Y, Z, T ) }.
% 1.01/1.40 (13592) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.01/1.40 Z ) }.
% 1.01/1.40 (13593) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.01/1.40 alpha17( X, Y, Z ) }.
% 1.01/1.40 (13594) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.01/1.40 alpha33( X, Y, Z, T, U ) }.
% 1.01/1.40 (13595) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.01/1.40 X, Y, Z, T ) }.
% 1.01/1.40 (13596) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.01/1.40 ), alpha26( X, Y, Z, T ) }.
% 1.01/1.40 (13597) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.01/1.40 alpha40( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13598) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.01/1.40 alpha33( X, Y, Z, T, U ) }.
% 1.01/1.40 (13599) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.01/1.40 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.01/1.40 (13600) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.01/1.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.01/1.40 (13601) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.01/1.40 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13602) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.01/1.40 (13603) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.01/1.40 ( Y ), alpha9( X, Y ) }.
% 1.01/1.40 (13604) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.01/1.40 equalelemsP( X ) }.
% 1.01/1.40 (13605) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.01/1.40 equalelemsP( X ) }.
% 1.01/1.40 (13606) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.01/1.40 , Y, Z ) }.
% 1.01/1.40 (13607) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.01/1.40 (13608) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13609) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.01/1.40 alpha27( X, Y, Z, T ) }.
% 1.01/1.40 (13610) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.01/1.40 Z ) }.
% 1.01/1.40 (13611) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.01/1.40 alpha18( X, Y, Z ) }.
% 1.01/1.40 (13612) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.01/1.40 alpha34( X, Y, Z, T, U ) }.
% 1.01/1.40 (13613) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.01/1.40 X, Y, Z, T ) }.
% 1.01/1.40 (13614) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.01/1.40 ), alpha27( X, Y, Z, T ) }.
% 1.01/1.40 (13615) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.01/1.40 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.01/1.40 (13616) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.01/1.40 alpha34( X, Y, Z, T, U ) }.
% 1.01/1.40 (13617) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.01/1.40 (13618) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.01/1.40 , ! X = Y }.
% 1.01/1.40 (13619) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.01/1.40 , Y ) }.
% 1.01/1.40 (13620) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.01/1.40 Y, X ) ) }.
% 1.01/1.40 (13621) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.01/1.40 (13622) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.01/1.40 = X }.
% 1.01/1.40 (13623) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.01/1.40 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.01/1.40 (13624) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.01/1.40 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.01/1.40 (13625) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.01/1.40 ) }.
% 1.01/1.40 (13626) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.01/1.40 ) }.
% 1.01/1.40 (13627) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.01/1.40 skol43( X ) ) = X }.
% 1.01/1.40 (13628) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.01/1.40 Y, X ) }.
% 1.01/1.40 (13629) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.01/1.40 }.
% 1.01/1.40 (13630) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.01/1.40 X ) ) = Y }.
% 1.01/1.40 (13631) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.01/1.40 }.
% 1.01/1.40 (13632) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.01/1.40 X ) ) = X }.
% 1.01/1.40 (13633) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.01/1.40 , Y ) ) }.
% 1.01/1.40 (13634) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.01/1.40 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.01/1.40 (13635) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.01/1.40 (13636) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.01/1.40 , ! leq( Y, X ), X = Y }.
% 1.01/1.40 (13637) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.01/1.40 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.01/1.40 (13638) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.01/1.40 (13639) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.01/1.40 , leq( Y, X ) }.
% 1.01/1.40 (13640) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.01/1.40 , geq( X, Y ) }.
% 1.01/1.40 (13641) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.01/1.40 , ! lt( Y, X ) }.
% 1.01/1.40 (13642) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.01/1.40 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.01/1.40 (13643) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.01/1.40 , lt( Y, X ) }.
% 1.01/1.40 (13644) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.01/1.40 , gt( X, Y ) }.
% 1.01/1.40 (13645) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.01/1.40 (13646) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.01/1.40 (13647) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.01/1.40 (13648) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.01/1.40 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.01/1.40 (13649) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.01/1.40 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.01/1.40 (13650) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.01/1.40 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.01/1.40 (13651) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.01/1.40 (13652) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.01/1.40 (13653) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.01/1.40 (13654) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.01/1.40 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.01/1.40 (13655) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.01/1.40 (13656) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.01/1.40 (13657) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.01/1.40 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.01/1.40 (13658) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.01/1.40 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.01/1.40 , T ) }.
% 1.01/1.40 (13659) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.01/1.40 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.01/1.40 cons( Y, T ) ) }.
% 1.01/1.40 (13660) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.01/1.40 (13661) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.01/1.40 X }.
% 1.01/1.40 (13662) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.01/1.40 ) }.
% 1.01/1.40 (13663) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.01/1.40 (13664) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.01/1.40 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.01/1.40 (13665) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.01/1.40 (13666) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.01/1.40 (13667) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.01/1.40 (13668) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.01/1.40 }.
% 1.01/1.40 (13669) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.01/1.40 }.
% 1.01/1.40 (13670) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.01/1.40 (13671) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.01/1.40 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.01/1.40 (13672) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.01/1.40 (13673) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.01/1.40 }.
% 1.01/1.40 (13674) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.01/1.40 (13675) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.01/1.40 }.
% 1.01/1.40 (13676) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.01/1.40 }.
% 1.01/1.40 (13677) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.01/1.40 }.
% 1.01/1.40 (13678) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.01/1.40 (13679) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.01/1.40 }.
% 1.01/1.40 (13680) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.01/1.40 (13681) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.01/1.40 ) }.
% 1.01/1.40 (13682) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.01/1.40 (13683) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.01/1.40 ) }.
% 1.01/1.40 (13684) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.01/1.40 (13685) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.01/1.40 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.01/1.40 (13686) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.01/1.40 totalorderedP( cons( X, Y ) ) }.
% 1.01/1.40 (13687) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.01/1.40 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.01/1.40 (13688) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.01/1.40 (13689) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.01/1.40 (13690) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.01/1.40 }.
% 1.01/1.40 (13691) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.01/1.40 (13692) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.01/1.40 (13693) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.01/1.40 alpha19( X, Y ) }.
% 1.01/1.40 (13694) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.01/1.40 ) ) }.
% 1.01/1.40 (13695) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.01/1.40 (13696) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.01/1.40 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.01/1.40 (13697) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.01/1.40 strictorderedP( cons( X, Y ) ) }.
% 1.01/1.40 (13698) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.01/1.40 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.01/1.40 (13699) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.01/1.40 (13700) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.01/1.40 (13701) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.01/1.40 }.
% 1.01/1.40 (13702) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.01/1.40 (13703) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.01/1.40 (13704) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.01/1.40 alpha20( X, Y ) }.
% 1.01/1.40 (13705) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.01/1.40 ) ) }.
% 1.01/1.40 (13706) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.01/1.40 (13707) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.01/1.40 }.
% 1.01/1.40 (13708) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.01/1.40 (13709) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.01/1.40 ) }.
% 1.01/1.40 (13710) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.01/1.40 ) }.
% 1.01/1.40 (13711) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.01/1.40 ) }.
% 1.01/1.40 (13712) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.01/1.40 ) }.
% 1.01/1.40 (13713) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.01/1.40 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.01/1.40 (13714) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.01/1.40 X ) ) = X }.
% 1.01/1.40 (13715) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.01/1.40 (13716) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.01/1.40 (13717) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.01/1.40 = app( cons( Y, nil ), X ) }.
% 1.01/1.40 (13718) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.01/1.40 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.01/1.40 (13719) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.01/1.40 X, Y ), nil = Y }.
% 1.01/1.40 (13720) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.01/1.40 X, Y ), nil = X }.
% 1.01/1.40 (13721) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.01/1.40 nil = X, nil = app( X, Y ) }.
% 1.01/1.40 (13722) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.01/1.40 (13723) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.01/1.40 app( X, Y ) ) = hd( X ) }.
% 1.01/1.40 (13724) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.01/1.40 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.01/1.40 (13725) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.01/1.40 , ! geq( Y, X ), X = Y }.
% 1.01/1.40 (13726) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.01/1.40 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.01/1.40 (13727) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.01/1.40 (13728) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.01/1.40 (13729) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.01/1.40 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.01/1.40 (13730) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.01/1.40 , X = Y, lt( X, Y ) }.
% 1.01/1.40 (13731) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.01/1.40 , ! X = Y }.
% 1.01/1.40 (13732) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.01/1.40 , leq( X, Y ) }.
% 1.01/1.40 (13733) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.01/1.40 ( X, Y ), lt( X, Y ) }.
% 1.01/1.40 (13734) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.01/1.40 , ! gt( Y, X ) }.
% 1.01/1.40 (13735) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.01/1.40 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.01/1.40 (13736) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.01/1.40 (13737) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.01/1.40 (13738) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.01/1.40 (13739) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.01/1.40 (13740) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.01/1.40 (13741) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.01/1.40 (13742) {G0,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 1.01/1.40 (13743) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 1.01/1.40 (13744) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 1.01/1.40 (13745) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), segmentP( skol51,
% 1.01/1.40 skol50 ) }.
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 Total Proof:
% 1.01/1.40
% 1.01/1.40 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 1.01/1.40 neq( X, Y ), ! X = Y }.
% 1.01/1.40 parent0: (13618) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 1.01/1.40 neq( X, Y ), ! X = Y }.
% 1.01/1.40 substitution0:
% 1.01/1.40 X := X
% 1.01/1.40 Y := Y
% 1.01/1.40 end
% 1.01/1.40 permutation0:
% 1.01/1.40 0 ==> 0
% 1.01/1.40 1 ==> 1
% 1.01/1.40 2 ==> 2
% 1.01/1.40 3 ==> 3
% 1.01/1.40 end
% 1.01/1.40
% 1.01/1.40 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 1.01/1.40 = Y, neq( X, Y ) }.
% 1.01/1.40 parent0: (13619) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 1.01/1.40 Y, neq( X, Y ) }.
% 1.01/1.40 substitution0:
% 1.01/1.40 X := X
% 1.01/1.40 Y := Y
% 1.01/1.40 end
% 1.01/1.40 permutation0:
% 1.01/1.40 0 ==> 0
% 1.01/1.40 1 ==> 1
% 1.01/1.40 2 ==> 2
% 1.01/1.40 3 ==> 3
% 1.01/1.40 end
% 1.01/1.40
% 1.01/1.40 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.01/1.40 parent0: (13621) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.01/1.40 substitution0:
% 1.01/1.40 end
% 1.01/1.40 permutation0:
% 1.01/1.40 0 ==> 0
% 1.01/1.40 end
% 1.01/1.40
% 1.01/1.40 subsumption: (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil
% 1.01/1.40 ) }.
% 1.01/1.40 parent0: (13674) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil )
% 1.01/1.42 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 1 ==> 1
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.01/1.42 parent0: (13737) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqswap: (14844) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.01/1.42 parent0[0]: (13740) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.01/1.42 parent0: (14844) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqswap: (15192) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.01/1.42 parent0[0]: (13741) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.01/1.42 parent0: (15192) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 1.01/1.42 parent0: (13742) {G0,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 paramod: (16470) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51 }.
% 1.01/1.42 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.01/1.42 parent1[0; 2]: (13743) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51
% 1.01/1.42 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 paramod: (16471) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 1.01/1.42 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.01/1.42 parent1[1; 3]: (16470) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51
% 1.01/1.42 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqswap: (16473) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 1.01/1.42 parent0[1]: (16471) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqswap: (16474) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 1.01/1.42 parent0[1]: (16473) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 1.01/1.42 skol49 ==> nil }.
% 1.01/1.42 parent0: (16474) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 1
% 1.01/1.42 1 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 *** allocated 384427 integers for termspace/termends
% 1.01/1.42 paramod: (17700) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol50 ), ! neq(
% 1.01/1.42 skol51, nil ) }.
% 1.01/1.42 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.01/1.42 parent1[1; 1]: (13745) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ),
% 1.01/1.42 segmentP( skol51, skol50 ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 paramod: (17702) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), segmentP(
% 1.01/1.42 skol49, skol50 ) }.
% 1.01/1.42 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.01/1.42 parent1[1; 2]: (17700) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol50 ), !
% 1.01/1.42 neq( skol51, nil ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 paramod: (17703) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol46 ), ! neq(
% 1.01/1.42 skol49, nil ) }.
% 1.01/1.42 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.01/1.42 parent1[1; 2]: (17702) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ),
% 1.01/1.42 segmentP( skol49, skol50 ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 resolution: (17704) {G1,W3,D2,L1,V0,M1} { ! neq( skol49, nil ) }.
% 1.01/1.42 parent0[0]: (281) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 1.01/1.42 parent1[0]: (17703) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol46 ), !
% 1.01/1.42 neq( skol49, nil ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) { !
% 1.01/1.42 neq( skol49, nil ) }.
% 1.01/1.42 parent0: (17704) {G1,W3,D2,L1,V0,M1} { ! neq( skol49, nil ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqswap: (17705) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 1.01/1.42 ), ! neq( X, Y ) }.
% 1.01/1.42 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 1.01/1.42 neq( X, Y ), ! X = Y }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 factor: (17706) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X, X
% 1.01/1.42 ) }.
% 1.01/1.42 parent0[1, 2]: (17705) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 1.01/1.42 ssList( Y ), ! neq( X, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := X
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqrefl: (17707) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 14.03/14.40 parent0[0]: (17706) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X
% 14.03/14.40 , X ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 X := X
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 subsumption: (319) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X,
% 14.03/14.40 X ) }.
% 14.03/14.40 parent0: (17707) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 X := X
% 14.03/14.40 end
% 14.03/14.40 permutation0:
% 14.03/14.40 0 ==> 0
% 14.03/14.40 1 ==> 1
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 resolution: (17708) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, nil ) }.
% 14.03/14.40 parent0[0]: (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil )
% 14.03/14.40 }.
% 14.03/14.40 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 X := skol49
% 14.03/14.40 end
% 14.03/14.40 substitution1:
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 subsumption: (465) {G1,W3,D2,L1,V0,M1} R(214,276) { segmentP( skol49, nil )
% 14.03/14.40 }.
% 14.03/14.40 parent0: (17708) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, nil ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40 permutation0:
% 14.03/14.40 0 ==> 0
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 resolution: (17709) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 14.03/14.40 parent0[0]: (319) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X
% 14.03/14.40 ) }.
% 14.03/14.40 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 X := nil
% 14.03/14.40 end
% 14.03/14.40 substitution1:
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 subsumption: (636) {G2,W3,D2,L1,V0,M1} R(319,161) { ! neq( nil, nil ) }.
% 14.03/14.40 parent0: (17709) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40 permutation0:
% 14.03/14.40 0 ==> 0
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 eqswap: (17711) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil }.
% 14.03/14.40 parent0[1]: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 14.03/14.40 skol49 ==> nil }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 paramod: (17713) {G1,W6,D2,L2,V0,M2} { ! segmentP( skol49, nil ), ! nil
% 14.03/14.40 ==> skol49 }.
% 14.03/14.40 parent0[1]: (17711) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil
% 14.03/14.40 }.
% 14.03/14.40 parent1[0; 3]: (281) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 )
% 14.03/14.40 }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40 substitution1:
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 resolution: (17714) {G2,W3,D2,L1,V0,M1} { ! nil ==> skol49 }.
% 14.03/14.40 parent0[0]: (17713) {G1,W6,D2,L2,V0,M2} { ! segmentP( skol49, nil ), ! nil
% 14.03/14.40 ==> skol49 }.
% 14.03/14.40 parent1[0]: (465) {G1,W3,D2,L1,V0,M1} R(214,276) { segmentP( skol49, nil )
% 14.03/14.40 }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40 substitution1:
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 eqswap: (17715) {G2,W3,D2,L1,V0,M1} { ! skol49 ==> nil }.
% 14.03/14.40 parent0[0]: (17714) {G2,W3,D2,L1,V0,M1} { ! nil ==> skol49 }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 subsumption: (872) {G2,W3,D2,L1,V0,M1} P(282,281);r(465) { ! skol49 ==> nil
% 14.03/14.40 }.
% 14.03/14.40 parent0: (17715) {G2,W3,D2,L1,V0,M1} { ! skol49 ==> nil }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40 permutation0:
% 14.03/14.40 0 ==> 0
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 eqswap: (17716) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList( Y )
% 14.03/14.40 , neq( X, Y ) }.
% 14.03/14.40 parent0[2]: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 14.03/14.40 = Y, neq( X, Y ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 X := X
% 14.03/14.40 Y := Y
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 resolution: (17717) {G1,W7,D2,L3,V0,M3} { nil = skol49, ! ssList( skol49 )
% 14.03/14.40 , ! ssList( nil ) }.
% 14.03/14.40 parent0[0]: (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) { ! neq
% 14.03/14.40 ( skol49, nil ) }.
% 14.03/14.40 parent1[3]: (17716) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList
% 14.03/14.40 ( Y ), neq( X, Y ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40 substitution1:
% 14.03/14.40 X := skol49
% 14.03/14.40 Y := nil
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 resolution: (17718) {G1,W5,D2,L2,V0,M2} { nil = skol49, ! ssList( nil )
% 14.03/14.40 }.
% 14.03/14.40 parent0[1]: (17717) {G1,W7,D2,L3,V0,M3} { nil = skol49, ! ssList( skol49 )
% 14.03/14.40 , ! ssList( nil ) }.
% 14.03/14.40 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40 substitution1:
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 eqswap: (17719) {G1,W5,D2,L2,V0,M2} { skol49 = nil, ! ssList( nil ) }.
% 14.03/14.40 parent0[0]: (17718) {G1,W5,D2,L2,V0,M2} { nil = skol49, ! ssList( nil )
% 14.03/14.40 }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 subsumption: (12882) {G2,W5,D2,L2,V0,M2} R(159,284);r(276) { ! ssList( nil
% 14.03/14.40 ), skol49 ==> nil }.
% 14.03/14.40 parent0: (17719) {G1,W5,D2,L2,V0,M2} { skol49 = nil, ! ssList( nil ) }.
% 14.03/14.40 substitution0:
% 14.03/14.40 end
% 14.03/14.40 permutation0:
% 14.03/14.40 0 ==> 1
% 14.03/14.40 1 ==> 0
% 14.03/14.40 end
% 14.03/14.40
% 14.03/14.40 *** allocated 15000 integers for justifications
% 14.03/14.40 *** allocated 22500 integers for justifications
% 14.03/14.40 *** allocated 33750 integers for justifications
% 14.03/14.40 *** allocated 50625 integers for justifications
% 14.03/14.40 *** allocated 75937 integers for justifications
% 14.03/14.40 *** allocated 576640 integers for termspace/termends
% 14.03/14.40 *** allocated 113905 integers for justifications
% 14.03/14.40 *** allocated 1297440 integers for clauses
% 14.03/14.40 *** allocated 170857 integers for jusCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------