TSTP Solution File: SWC331+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC331+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:35:57 EDT 2022
% Result : Theorem 1.63s 2.03s
% Output : Refutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC331+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 04:20:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.12 { ssItem( skol1 ) }.
% 0.73/1.12 { ssItem( skol47 ) }.
% 0.73/1.12 { ! skol1 = skol47 }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.73/1.12 Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.73/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.73/1.12 ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.73/1.12 ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.73/1.12 = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.73/1.12 , Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.73/1.12 segmentP( X, Y ) }.
% 0.73/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.73/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.73/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.73/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.73/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.73/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.73/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.73/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.73/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.73/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.73/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.73/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, leq( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.73/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, lt( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.73/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, ! Y = Z }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.73/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.73/1.12 Z }.
% 0.73/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.73/1.12 { ssList( nil ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.12 ) = cons( T, Y ), Z = T }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.12 ) = cons( T, Y ), Y = X }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.73/1.12 ( cons( Z, Y ), X ) }.
% 0.73/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.73/1.12 , leq( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.73/1.12 lt( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.73/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.73/1.12 app( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.12 app( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.73/1.12 , X = Y, memberP( Z, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.73/1.12 ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.12 cons( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.73/1.12 { ! singletonP( nil ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.73/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.73/1.12 = Y }.
% 0.73/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.73/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.73/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.73/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.73/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.73/1.12 Y }.
% 0.73/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.73/1.12 ( app( Z, X ), Y ) }.
% 0.73/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.73/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.73/1.12 Y }.
% 0.73/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.73/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.73/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.73/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.73/1.12 { cyclefreeP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.73/1.12 { totalorderP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.73/1.12 { strictorderP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.73/1.12 { totalorderedP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.12 alpha10( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.73/1.12 .
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.73/1.12 Y ) ) }.
% 0.73/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.73/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.73/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.73/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.73/1.12 { strictorderedP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.12 alpha11( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.73/1.12 .
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.73/1.12 , Y ) ) }.
% 0.73/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.73/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.73/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.73/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.73/1.12 { duplicatefreeP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.73/1.12 { equalelemsP( nil ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.73/1.12 ( Y ) = tl( X ), Y = X }.
% 0.73/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.73/1.12 , Z = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.73/1.12 , Z = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.73/1.12 ( X, app( Y, Z ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.73/1.12 Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.73/1.12 , geq( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.73/1.12 , lt( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.73/1.12 gt( X, Z ) }.
% 0.73/1.12 { ssList( skol46 ) }.
% 0.73/1.12 { ssList( skol49 ) }.
% 0.73/1.12 { ssList( skol50 ) }.
% 0.73/1.12 { ssList( skol51 ) }.
% 0.73/1.12 { skol49 = skol51 }.
% 0.73/1.12 { skol46 = skol50 }.
% 0.73/1.12 { ssList( skol52 ) }.
% 0.73/1.12 { app( skol50, skol52 ) = skol51 }.
% 0.73/1.12 { equalelemsP( skol50 ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol52, !
% 0.73/1.12 ssList( Z ), ! app( Z, cons( X, nil ) ) = skol50 }.
% 0.73/1.12 { nil = skol51, ! nil = skol50 }.
% 0.73/1.12 { ! segmentP( skol49, skol46 ), ! equalelemsP( skol46 ) }.
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for clauses
% 0.73/1.12 percentage equality = 0.132231, percentage horn = 0.763066
% 0.73/1.12 This is a problem with some equality
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Options Used:
% 0.73/1.12
% 0.73/1.12 useres = 1
% 0.73/1.12 useparamod = 1
% 0.73/1.12 useeqrefl = 1
% 0.73/1.12 useeqfact = 1
% 0.73/1.12 usefactor = 1
% 0.73/1.12 usesimpsplitting = 0
% 0.73/1.12 usesimpdemod = 5
% 0.73/1.12 usesimpres = 3
% 0.73/1.12
% 0.73/1.12 resimpinuse = 1000
% 0.73/1.12 resimpclauses = 20000
% 0.73/1.12 substype = eqrewr
% 0.73/1.12 backwardsubs = 1
% 0.73/1.12 selectoldest = 5
% 0.73/1.12
% 0.73/1.12 litorderings [0] = split
% 0.73/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.12
% 0.73/1.12 termordering = kbo
% 0.73/1.12
% 0.73/1.12 litapriori = 0
% 0.73/1.12 termapriori = 1
% 0.73/1.12 litaposteriori = 0
% 0.73/1.12 termaposteriori = 0
% 0.73/1.12 demodaposteriori = 0
% 0.73/1.12 ordereqreflfact = 0
% 0.73/1.12
% 0.73/1.12 litselect = negord
% 0.73/1.12
% 0.73/1.12 maxweight = 15
% 0.73/1.12 maxdepth = 30000
% 0.73/1.12 maxlength = 115
% 0.73/1.12 maxnrvars = 195
% 0.73/1.12 excuselevel = 1
% 0.73/1.12 increasemaxweight = 1
% 0.73/1.12
% 0.73/1.12 maxselected = 10000000
% 0.73/1.12 maxnrclauses = 10000000
% 0.73/1.12
% 0.73/1.12 showgenerated = 0
% 0.73/1.12 showkept = 0
% 0.73/1.12 showselected = 0
% 0.73/1.12 showdeleted = 0
% 0.73/1.12 showresimp = 1
% 0.73/1.12 showstatus = 2000
% 0.73/1.12
% 0.73/1.12 prologoutput = 0
% 0.73/1.12 nrgoals = 5000000
% 0.73/1.12 totalproof = 1
% 0.73/1.12
% 0.73/1.12 Symbols occurring in the translation:
% 0.73/1.12
% 0.73/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.12 . [1, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.73/1.12 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.73/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ssItem [36, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.12 neq [38, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.73/1.12 ssList [39, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.12 memberP [40, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.73/1.12 cons [43, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.73/1.12 app [44, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.73/1.12 singletonP [45, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.12 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.12 frontsegP [47, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.57/1.93 rearsegP [48, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.57/1.93 segmentP [49, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.57/1.93 cyclefreeP [50, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.57/1.93 leq [53, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.57/1.93 totalorderP [54, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.57/1.93 strictorderP [55, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.57/1.93 lt [56, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.57/1.93 totalorderedP [57, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.57/1.93 strictorderedP [58, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.57/1.93 duplicatefreeP [59, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.57/1.93 equalelemsP [60, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.57/1.93 hd [61, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.57/1.93 tl [62, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.57/1.93 geq [63, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.57/1.93 gt [64, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.57/1.93 alpha1 [67, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.57/1.93 alpha2 [68, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.57/1.93 alpha3 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.57/1.93 alpha4 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.57/1.93 alpha5 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.57/1.93 alpha6 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.57/1.93 alpha7 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.57/1.93 alpha8 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.57/1.93 alpha9 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.57/1.93 alpha10 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.57/1.93 alpha11 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.57/1.93 alpha12 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.57/1.93 alpha13 [79, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.57/1.93 alpha14 [80, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.57/1.93 alpha15 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.57/1.93 alpha16 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.57/1.93 alpha17 [83, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.57/1.93 alpha18 [84, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.57/1.93 alpha19 [85, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.57/1.93 alpha20 [86, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.57/1.93 alpha21 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.57/1.93 alpha22 [88, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.57/1.93 alpha23 [89, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.57/1.93 alpha24 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.57/1.93 alpha25 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.57/1.93 alpha26 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.57/1.93 alpha27 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.57/1.93 alpha28 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.57/1.93 alpha29 [95, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.57/1.93 alpha30 [96, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.57/1.93 alpha31 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.57/1.93 alpha32 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.57/1.93 alpha33 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.57/1.93 alpha34 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.57/1.93 alpha35 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.57/1.93 alpha36 [102, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.57/1.93 alpha37 [103, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.57/1.93 alpha38 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.57/1.93 alpha39 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.57/1.93 alpha40 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.57/1.93 alpha41 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.57/1.93 alpha42 [108, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.57/1.93 alpha43 [109, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.57/1.93 skol1 [110, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.57/1.93 skol2 [111, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.57/1.93 skol3 [112, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.57/1.93 skol4 [113, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.57/1.93 skol5 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.57/1.93 skol6 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.57/1.93 skol7 [116, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.57/1.93 skol8 [117, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.57/1.93 skol9 [118, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.57/1.93 skol10 [119, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.57/1.93 skol11 [120, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.57/1.93 skol12 [121, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.57/1.93 skol13 [122, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.57/1.93 skol14 [123, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.57/1.93 skol15 [124, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.57/1.93 skol16 [125, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.57/1.93 skol17 [126, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.57/1.93 skol18 [127, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.57/1.93 skol19 [128, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.57/1.93 skol20 [129, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.57/1.93 skol21 [130, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.63/2.03 skol22 [131, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.63/2.03 skol23 [132, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.63/2.03 skol24 [133, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.63/2.03 skol25 [134, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.63/2.03 skol26 [135, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.63/2.03 skol27 [136, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.63/2.03 skol28 [137, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.63/2.03 skol29 [138, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.63/2.03 skol30 [139, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.63/2.03 skol31 [140, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.63/2.03 skol32 [141, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.63/2.03 skol33 [142, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.63/2.03 skol34 [143, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.63/2.03 skol35 [144, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.63/2.03 skol36 [145, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.63/2.03 skol37 [146, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.63/2.03 skol38 [147, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.63/2.03 skol39 [148, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.63/2.03 skol40 [149, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.63/2.03 skol41 [150, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.63/2.03 skol42 [151, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.63/2.03 skol43 [152, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.63/2.03 skol44 [153, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.63/2.03 skol45 [154, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.63/2.03 skol46 [155, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.63/2.03 skol47 [156, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.63/2.03 skol48 [157, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.63/2.03 skol49 [158, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.63/2.03 skol50 [159, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.63/2.03 skol51 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.63/2.03 skol52 [161, 0] (w:1, o:21, a:1, s:1, b:1).
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Starting Search:
% 1.63/2.03
% 1.63/2.03 *** allocated 22500 integers for clauses
% 1.63/2.03 *** allocated 33750 integers for clauses
% 1.63/2.03 *** allocated 50625 integers for clauses
% 1.63/2.03 *** allocated 22500 integers for termspace/termends
% 1.63/2.03 *** allocated 75937 integers for clauses
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 33750 integers for termspace/termends
% 1.63/2.03 *** allocated 113905 integers for clauses
% 1.63/2.03 *** allocated 50625 integers for termspace/termends
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 3720
% 1.63/2.03 Kept: 2000
% 1.63/2.03 Inuse: 219
% 1.63/2.03 Deleted: 7
% 1.63/2.03 Deletedinuse: 0
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 170857 integers for clauses
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 75937 integers for termspace/termends
% 1.63/2.03 *** allocated 256285 integers for clauses
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 7062
% 1.63/2.03 Kept: 4017
% 1.63/2.03 Inuse: 359
% 1.63/2.03 Deleted: 11
% 1.63/2.03 Deletedinuse: 4
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 113905 integers for termspace/termends
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 384427 integers for clauses
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 10320
% 1.63/2.03 Kept: 6039
% 1.63/2.03 Inuse: 484
% 1.63/2.03 Deleted: 13
% 1.63/2.03 Deletedinuse: 6
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 170857 integers for termspace/termends
% 1.63/2.03 *** allocated 576640 integers for clauses
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 14030
% 1.63/2.03 Kept: 8062
% 1.63/2.03 Inuse: 589
% 1.63/2.03 Deleted: 13
% 1.63/2.03 Deletedinuse: 6
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 18778
% 1.63/2.03 Kept: 11134
% 1.63/2.03 Inuse: 674
% 1.63/2.03 Deleted: 25
% 1.63/2.03 Deletedinuse: 18
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 256285 integers for termspace/termends
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 864960 integers for clauses
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 23453
% 1.63/2.03 Kept: 13243
% 1.63/2.03 Inuse: 744
% 1.63/2.03 Deleted: 30
% 1.63/2.03 Deletedinuse: 23
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 32084
% 1.63/2.03 Kept: 15335
% 1.63/2.03 Inuse: 779
% 1.63/2.03 Deleted: 37
% 1.63/2.03 Deletedinuse: 30
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 384427 integers for termspace/termends
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 39801
% 1.63/2.03 Kept: 17416
% 1.63/2.03 Inuse: 837
% 1.63/2.03 Deleted: 67
% 1.63/2.03 Deletedinuse: 58
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 *** allocated 1297440 integers for clauses
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 49202
% 1.63/2.03 Kept: 19655
% 1.63/2.03 Inuse: 900
% 1.63/2.03 Deleted: 83
% 1.63/2.03 Deletedinuse: 62
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 Resimplifying clauses:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 58508
% 1.63/2.03 Kept: 21662
% 1.63/2.03 Inuse: 929
% 1.63/2.03 Deleted: 2044
% 1.63/2.03 Deletedinuse: 63
% 1.63/2.03
% 1.63/2.03 *** allocated 576640 integers for termspace/termends
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03 Resimplifying inuse:
% 1.63/2.03 Done
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Intermediate Status:
% 1.63/2.03 Generated: 68299
% 1.63/2.03 Kept: 23721
% 1.63/2.03 Inuse: 958
% 1.63/2.03 Deleted: 2046
% 1.63/2.03 Deletedinuse: 63
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Bliksems!, er is een bewijs:
% 1.63/2.03 % SZS status Theorem
% 1.63/2.03 % SZS output start Refutation
% 1.63/2.03
% 1.63/2.03 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 1.63/2.03 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.63/2.03 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 1.63/2.03 alpha2( X, Y, Z ) }.
% 1.63/2.03 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.63/2.03 (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==> X }.
% 1.63/2.03 (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.63/2.03 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.63/2.03 (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X ) }.
% 1.63/2.03 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.63/2.03 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.63/2.03 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.63/2.03 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.63/2.03 (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.63/2.03 (282) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46, skol52 ) ==>
% 1.63/2.03 skol49 }.
% 1.63/2.03 (283) {G1,W2,D2,L1,V0,M1} I;d(280) { equalelemsP( skol46 ) }.
% 1.63/2.03 (286) {G2,W3,D2,L1,V0,M1} I;r(283) { ! segmentP( skol49, skol46 ) }.
% 1.63/2.03 (495) {G1,W3,D2,L1,V0,M1} R(212,281) { segmentP( skol52, skol52 ) }.
% 1.63/2.03 (879) {G3,W8,D2,L3,V1,M3} R(22,286);r(276) { ! ssList( skol46 ), ! ssList(
% 1.63/2.03 X ), ! alpha2( skol49, skol46, X ) }.
% 1.63/2.03 (17045) {G1,W5,D3,L1,V0,M1} R(175,275) { app( nil, skol46 ) ==> skol46 }.
% 1.63/2.03 (20662) {G4,W6,D2,L2,V1,M2} S(879);r(275) { ! ssList( X ), ! alpha2( skol49
% 1.63/2.03 , skol46, X ) }.
% 1.63/2.03 (23316) {G5,W4,D2,L1,V0,M1} R(20662,161) { ! alpha2( skol49, skol46, nil )
% 1.63/2.03 }.
% 1.63/2.03 (23320) {G6,W7,D3,L2,V1,M2} R(23316,25);d(17045) { ! ssList( X ), ! app(
% 1.63/2.03 skol46, X ) ==> skol49 }.
% 1.63/2.03 (23659) {G7,W10,D2,L4,V1,M4} P(211,282);r(23320) { ! ssList( skol52 ), !
% 1.63/2.03 ssList( X ), ! segmentP( skol52, X ), ! segmentP( X, skol52 ) }.
% 1.63/2.03 (23710) {G8,W3,D2,L1,V0,M1} F(23659);f;r(281) { ! segmentP( skol52, skol52
% 1.63/2.03 ) }.
% 1.63/2.03 (23721) {G9,W0,D0,L0,V0,M0} S(23710);r(495) { }.
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 % SZS output end Refutation
% 1.63/2.03 found a proof!
% 1.63/2.03
% 1.63/2.03
% 1.63/2.03 Unprocessed initial clauses:
% 1.63/2.03
% 1.63/2.03 (23723) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.63/2.03 , ! X = Y }.
% 1.63/2.03 (23724) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23725) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.63/2.03 (23726) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.63/2.03 (23727) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.63/2.03 (23728) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.63/2.03 , Y ), ssList( skol2( Z, T ) ) }.
% 1.63/2.03 (23729) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.63/2.03 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.63/2.03 (23730) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.63/2.03 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.63/2.03 (23731) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.63/2.03 ) ) }.
% 1.63/2.03 (23732) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.63/2.03 ( X, Y, Z ) ) ) = X }.
% 1.63/2.03 (23733) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.63/2.03 , alpha1( X, Y, Z ) }.
% 1.63/2.03 (23734) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.63/2.03 skol4( Y ) ) }.
% 1.63/2.03 (23735) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.63/2.03 skol4( X ), nil ) = X }.
% 1.63/2.03 (23736) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.63/2.03 nil ) = X, singletonP( X ) }.
% 1.63/2.03 (23737) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.63/2.03 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.63/2.03 (23738) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.63/2.03 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.63/2.03 (23739) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.63/2.03 (23740) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.63/2.03 , Y ), ssList( skol6( Z, T ) ) }.
% 1.63/2.03 (23741) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.63/2.03 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.63/2.03 (23742) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.63/2.03 (23743) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.63/2.03 , Y ), ssList( skol7( Z, T ) ) }.
% 1.63/2.03 (23744) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.63/2.03 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.63/2.03 (23745) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.63/2.03 (23746) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.63/2.03 ) ) }.
% 1.63/2.03 (23747) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.63/2.03 skol8( X, Y, Z ) ) = X }.
% 1.63/2.03 (23748) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.63/2.03 , alpha2( X, Y, Z ) }.
% 1.63/2.03 (23749) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.63/2.03 Y ), alpha3( X, Y ) }.
% 1.63/2.03 (23750) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.63/2.03 cyclefreeP( X ) }.
% 1.63/2.03 (23751) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.63/2.03 cyclefreeP( X ) }.
% 1.63/2.03 (23752) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.63/2.03 , Y, Z ) }.
% 1.63/2.03 (23753) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.63/2.03 (23754) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23755) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.63/2.03 alpha28( X, Y, Z, T ) }.
% 1.63/2.03 (23756) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.63/2.03 Z ) }.
% 1.63/2.03 (23757) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.63/2.03 alpha21( X, Y, Z ) }.
% 1.63/2.03 (23758) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.63/2.03 alpha35( X, Y, Z, T, U ) }.
% 1.63/2.03 (23759) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.63/2.03 X, Y, Z, T ) }.
% 1.63/2.03 (23760) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.63/2.03 ), alpha28( X, Y, Z, T ) }.
% 1.63/2.03 (23761) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.63/2.03 alpha41( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23762) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.63/2.03 alpha35( X, Y, Z, T, U ) }.
% 1.63/2.03 (23763) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.63/2.03 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.63/2.03 (23764) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.63/2.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.63/2.03 (23765) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.63/2.03 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23766) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.63/2.03 W ) }.
% 1.63/2.03 (23767) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.63/2.03 X ) }.
% 1.63/2.03 (23768) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.63/2.03 (23769) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.63/2.03 (23770) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.63/2.03 ( Y ), alpha4( X, Y ) }.
% 1.63/2.03 (23771) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.63/2.03 totalorderP( X ) }.
% 1.63/2.03 (23772) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.63/2.03 totalorderP( X ) }.
% 1.63/2.03 (23773) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.63/2.03 , Y, Z ) }.
% 1.63/2.03 (23774) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.63/2.03 (23775) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23776) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.63/2.03 alpha29( X, Y, Z, T ) }.
% 1.63/2.03 (23777) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.63/2.03 Z ) }.
% 1.63/2.03 (23778) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.63/2.03 alpha22( X, Y, Z ) }.
% 1.63/2.03 (23779) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.63/2.03 alpha36( X, Y, Z, T, U ) }.
% 1.63/2.03 (23780) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.63/2.03 X, Y, Z, T ) }.
% 1.63/2.03 (23781) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.63/2.03 ), alpha29( X, Y, Z, T ) }.
% 1.63/2.03 (23782) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.63/2.03 alpha42( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23783) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.63/2.03 alpha36( X, Y, Z, T, U ) }.
% 1.63/2.03 (23784) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.63/2.03 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.63/2.03 (23785) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.63/2.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.63/2.03 (23786) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.63/2.03 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23787) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.63/2.03 W ) }.
% 1.63/2.03 (23788) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.63/2.03 }.
% 1.63/2.03 (23789) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.63/2.03 (23790) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.63/2.03 (23791) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.63/2.03 ( Y ), alpha5( X, Y ) }.
% 1.63/2.03 (23792) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.63/2.03 strictorderP( X ) }.
% 1.63/2.03 (23793) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.63/2.03 strictorderP( X ) }.
% 1.63/2.03 (23794) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.63/2.03 , Y, Z ) }.
% 1.63/2.03 (23795) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.63/2.03 (23796) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23797) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.63/2.03 alpha30( X, Y, Z, T ) }.
% 1.63/2.03 (23798) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.63/2.03 Z ) }.
% 1.63/2.03 (23799) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.63/2.03 alpha23( X, Y, Z ) }.
% 1.63/2.03 (23800) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.63/2.03 alpha37( X, Y, Z, T, U ) }.
% 1.63/2.03 (23801) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.63/2.03 X, Y, Z, T ) }.
% 1.63/2.03 (23802) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.63/2.03 ), alpha30( X, Y, Z, T ) }.
% 1.63/2.03 (23803) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.63/2.03 alpha43( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23804) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.63/2.03 alpha37( X, Y, Z, T, U ) }.
% 1.63/2.03 (23805) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.63/2.03 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.63/2.03 (23806) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.63/2.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.63/2.03 (23807) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.63/2.03 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23808) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.63/2.03 W ) }.
% 1.63/2.03 (23809) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.63/2.03 }.
% 1.63/2.03 (23810) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.63/2.03 (23811) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.63/2.03 (23812) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.63/2.03 ssItem( Y ), alpha6( X, Y ) }.
% 1.63/2.03 (23813) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.63/2.03 totalorderedP( X ) }.
% 1.63/2.03 (23814) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.63/2.03 totalorderedP( X ) }.
% 1.63/2.03 (23815) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.63/2.03 , Y, Z ) }.
% 1.63/2.03 (23816) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.63/2.03 (23817) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23818) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.63/2.03 alpha24( X, Y, Z, T ) }.
% 1.63/2.03 (23819) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.63/2.03 Z ) }.
% 1.63/2.03 (23820) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.63/2.03 alpha15( X, Y, Z ) }.
% 1.63/2.03 (23821) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.63/2.03 alpha31( X, Y, Z, T, U ) }.
% 1.63/2.03 (23822) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.63/2.03 X, Y, Z, T ) }.
% 1.63/2.03 (23823) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.63/2.03 ), alpha24( X, Y, Z, T ) }.
% 1.63/2.03 (23824) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.63/2.03 alpha38( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23825) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.63/2.03 alpha31( X, Y, Z, T, U ) }.
% 1.63/2.03 (23826) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.63/2.03 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.63/2.03 (23827) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.63/2.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.63/2.03 (23828) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.63/2.03 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23829) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.63/2.03 }.
% 1.63/2.03 (23830) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.63/2.03 ssItem( Y ), alpha7( X, Y ) }.
% 1.63/2.03 (23831) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.63/2.03 strictorderedP( X ) }.
% 1.63/2.03 (23832) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.63/2.03 strictorderedP( X ) }.
% 1.63/2.03 (23833) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.63/2.03 , Y, Z ) }.
% 1.63/2.03 (23834) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.63/2.03 (23835) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23836) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.63/2.03 alpha25( X, Y, Z, T ) }.
% 1.63/2.03 (23837) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.63/2.03 Z ) }.
% 1.63/2.03 (23838) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.63/2.03 alpha16( X, Y, Z ) }.
% 1.63/2.03 (23839) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.63/2.03 alpha32( X, Y, Z, T, U ) }.
% 1.63/2.03 (23840) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.63/2.03 X, Y, Z, T ) }.
% 1.63/2.03 (23841) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.63/2.03 ), alpha25( X, Y, Z, T ) }.
% 1.63/2.03 (23842) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.63/2.03 alpha39( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23843) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.63/2.03 alpha32( X, Y, Z, T, U ) }.
% 1.63/2.03 (23844) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.63/2.03 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.63/2.03 (23845) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.63/2.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.63/2.03 (23846) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.63/2.03 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23847) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.63/2.03 }.
% 1.63/2.03 (23848) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.63/2.03 ssItem( Y ), alpha8( X, Y ) }.
% 1.63/2.03 (23849) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.63/2.03 duplicatefreeP( X ) }.
% 1.63/2.03 (23850) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.63/2.03 duplicatefreeP( X ) }.
% 1.63/2.03 (23851) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.63/2.03 , Y, Z ) }.
% 1.63/2.03 (23852) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.63/2.03 (23853) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23854) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.63/2.03 alpha26( X, Y, Z, T ) }.
% 1.63/2.03 (23855) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.63/2.03 Z ) }.
% 1.63/2.03 (23856) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.63/2.03 alpha17( X, Y, Z ) }.
% 1.63/2.03 (23857) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.63/2.03 alpha33( X, Y, Z, T, U ) }.
% 1.63/2.03 (23858) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.63/2.03 X, Y, Z, T ) }.
% 1.63/2.03 (23859) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.63/2.03 ), alpha26( X, Y, Z, T ) }.
% 1.63/2.03 (23860) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.63/2.03 alpha40( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23861) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.63/2.03 alpha33( X, Y, Z, T, U ) }.
% 1.63/2.03 (23862) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.63/2.03 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.63/2.03 (23863) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.63/2.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.63/2.03 (23864) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.63/2.03 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23865) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.63/2.03 (23866) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.63/2.03 ( Y ), alpha9( X, Y ) }.
% 1.63/2.03 (23867) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.63/2.03 equalelemsP( X ) }.
% 1.63/2.03 (23868) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.63/2.03 equalelemsP( X ) }.
% 1.63/2.03 (23869) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.63/2.03 , Y, Z ) }.
% 1.63/2.03 (23870) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.63/2.03 (23871) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23872) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.63/2.03 alpha27( X, Y, Z, T ) }.
% 1.63/2.03 (23873) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.63/2.03 Z ) }.
% 1.63/2.03 (23874) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.63/2.03 alpha18( X, Y, Z ) }.
% 1.63/2.03 (23875) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.63/2.03 alpha34( X, Y, Z, T, U ) }.
% 1.63/2.03 (23876) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.63/2.03 X, Y, Z, T ) }.
% 1.63/2.03 (23877) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.63/2.03 ), alpha27( X, Y, Z, T ) }.
% 1.63/2.03 (23878) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.63/2.03 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.63/2.03 (23879) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.63/2.03 alpha34( X, Y, Z, T, U ) }.
% 1.63/2.03 (23880) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.63/2.03 (23881) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.63/2.03 , ! X = Y }.
% 1.63/2.03 (23882) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.63/2.03 , Y ) }.
% 1.63/2.03 (23883) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.63/2.03 Y, X ) ) }.
% 1.63/2.03 (23884) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.63/2.03 (23885) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.63/2.03 = X }.
% 1.63/2.03 (23886) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.63/2.03 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.63/2.03 (23887) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.63/2.03 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.63/2.03 (23888) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.63/2.03 ) }.
% 1.63/2.03 (23889) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.63/2.03 ) }.
% 1.63/2.03 (23890) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.63/2.03 skol43( X ) ) = X }.
% 1.63/2.03 (23891) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.63/2.03 Y, X ) }.
% 1.63/2.03 (23892) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.63/2.03 }.
% 1.63/2.03 (23893) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.63/2.03 X ) ) = Y }.
% 1.63/2.03 (23894) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.63/2.03 }.
% 1.63/2.03 (23895) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.63/2.03 X ) ) = X }.
% 1.63/2.03 (23896) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.63/2.03 , Y ) ) }.
% 1.63/2.03 (23897) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.63/2.03 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.63/2.03 (23898) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.63/2.03 (23899) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.63/2.03 , ! leq( Y, X ), X = Y }.
% 1.63/2.03 (23900) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.63/2.03 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.63/2.03 (23901) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.63/2.03 (23902) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.63/2.03 , leq( Y, X ) }.
% 1.63/2.03 (23903) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.63/2.03 , geq( X, Y ) }.
% 1.63/2.03 (23904) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.63/2.03 , ! lt( Y, X ) }.
% 1.63/2.03 (23905) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.63/2.03 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.63/2.03 (23906) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.63/2.03 , lt( Y, X ) }.
% 1.63/2.03 (23907) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.63/2.03 , gt( X, Y ) }.
% 1.63/2.03 (23908) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.63/2.03 (23909) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.63/2.03 (23910) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.63/2.03 (23911) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.63/2.03 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.63/2.03 (23912) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.63/2.03 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.63/2.03 (23913) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.63/2.03 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.63/2.03 (23914) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.63/2.03 (23915) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.63/2.03 (23916) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.63/2.03 (23917) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.63/2.03 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.63/2.03 (23918) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.63/2.03 (23919) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.63/2.03 (23920) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.63/2.03 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.63/2.03 (23921) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.63/2.03 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.63/2.03 , T ) }.
% 1.63/2.03 (23922) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.63/2.03 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.63/2.03 cons( Y, T ) ) }.
% 1.63/2.03 (23923) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.63/2.03 (23924) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.63/2.03 X }.
% 1.63/2.03 (23925) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.63/2.03 ) }.
% 1.63/2.03 (23926) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.63/2.03 (23927) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.63/2.03 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.63/2.03 (23928) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.63/2.03 (23929) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.63/2.03 (23930) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.63/2.03 (23931) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.63/2.03 }.
% 1.63/2.03 (23932) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.63/2.03 }.
% 1.63/2.03 (23933) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.63/2.03 (23934) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.63/2.03 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.63/2.03 (23935) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.63/2.03 (23936) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.63/2.03 }.
% 1.63/2.03 (23937) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.63/2.03 (23938) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.63/2.03 }.
% 1.63/2.03 (23939) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.63/2.03 }.
% 1.63/2.03 (23940) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.63/2.03 }.
% 1.63/2.03 (23941) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.63/2.03 (23942) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.63/2.03 }.
% 1.63/2.03 (23943) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.63/2.03 (23944) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.63/2.03 ) }.
% 1.63/2.03 (23945) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.63/2.03 (23946) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.63/2.03 ) }.
% 1.63/2.03 (23947) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.63/2.03 (23948) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.63/2.03 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.63/2.03 (23949) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.63/2.03 totalorderedP( cons( X, Y ) ) }.
% 1.63/2.03 (23950) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.63/2.03 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.63/2.03 (23951) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.63/2.03 (23952) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.63/2.03 (23953) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.63/2.03 }.
% 1.63/2.03 (23954) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.63/2.03 (23955) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.63/2.03 (23956) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.63/2.03 alpha19( X, Y ) }.
% 1.63/2.03 (23957) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.63/2.03 ) ) }.
% 1.63/2.03 (23958) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.63/2.03 (23959) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.63/2.03 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.63/2.03 (23960) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.63/2.03 strictorderedP( cons( X, Y ) ) }.
% 1.63/2.03 (23961) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.63/2.03 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.63/2.03 (23962) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.63/2.03 (23963) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.63/2.03 (23964) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.63/2.03 }.
% 1.63/2.03 (23965) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.63/2.03 (23966) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.63/2.03 (23967) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.63/2.03 alpha20( X, Y ) }.
% 1.63/2.03 (23968) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.63/2.03 ) ) }.
% 1.63/2.03 (23969) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.63/2.03 (23970) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.63/2.03 }.
% 1.63/2.03 (23971) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.63/2.03 (23972) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.63/2.03 ) }.
% 1.63/2.03 (23973) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.63/2.03 ) }.
% 1.63/2.03 (23974) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.63/2.03 ) }.
% 1.63/2.03 (23975) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.63/2.03 ) }.
% 1.63/2.03 (23976) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.63/2.03 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.63/2.03 (23977) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.63/2.03 X ) ) = X }.
% 1.63/2.03 (23978) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.63/2.03 (23979) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.63/2.03 (23980) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.63/2.03 = app( cons( Y, nil ), X ) }.
% 1.63/2.03 (23981) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.63/2.03 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.63/2.03 (23982) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.63/2.03 X, Y ), nil = Y }.
% 1.63/2.03 (23983) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.63/2.03 X, Y ), nil = X }.
% 1.63/2.03 (23984) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.63/2.03 nil = X, nil = app( X, Y ) }.
% 1.63/2.03 (23985) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.63/2.03 (23986) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.63/2.03 app( X, Y ) ) = hd( X ) }.
% 1.63/2.03 (23987) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.63/2.03 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.63/2.03 (23988) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.63/2.03 , ! geq( Y, X ), X = Y }.
% 1.63/2.03 (23989) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.63/2.03 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.63/2.03 (23990) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.63/2.03 (23991) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.63/2.03 (23992) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.63/2.03 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.63/2.03 (23993) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.63/2.03 , X = Y, lt( X, Y ) }.
% 1.63/2.03 (23994) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.63/2.03 , ! X = Y }.
% 1.63/2.03 (23995) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.63/2.03 , leq( X, Y ) }.
% 1.63/2.03 (23996) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.63/2.05 ( X, Y ), lt( X, Y ) }.
% 1.63/2.05 (23997) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.63/2.05 , ! gt( Y, X ) }.
% 1.63/2.05 (23998) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.63/2.05 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.63/2.05 (23999) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.63/2.05 (24000) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.63/2.05 (24001) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.63/2.05 (24002) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.63/2.05 (24003) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.63/2.05 (24004) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.63/2.05 (24005) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.63/2.05 (24006) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) = skol51 }.
% 1.63/2.05 (24007) {G0,W2,D2,L1,V0,M1} { equalelemsP( skol50 ) }.
% 1.63/2.05 (24008) {G0,W20,D4,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 1.63/2.05 X, nil ), Y ) = skol52, ! ssList( Z ), ! app( Z, cons( X, nil ) ) =
% 1.63/2.05 skol50 }.
% 1.63/2.05 (24009) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 1.63/2.05 (24010) {G0,W5,D2,L2,V0,M2} { ! segmentP( skol49, skol46 ), ! equalelemsP
% 1.63/2.05 ( skol46 ) }.
% 1.63/2.05
% 1.63/2.05
% 1.63/2.05 Total Proof:
% 1.63/2.05
% 1.63/2.05 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.63/2.05 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.63/2.05 parent0: (23745) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.63/2.05 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := X
% 1.63/2.05 Y := Y
% 1.63/2.05 Z := Z
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 1 ==> 1
% 1.63/2.05 2 ==> 2
% 1.63/2.05 3 ==> 3
% 1.63/2.05 4 ==> 4
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 1.63/2.05 ), T ) = X, alpha2( X, Y, Z ) }.
% 1.63/2.05 parent0: (23748) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 1.63/2.05 , T ) = X, alpha2( X, Y, Z ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := X
% 1.63/2.05 Y := Y
% 1.63/2.05 Z := Z
% 1.63/2.05 T := T
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 1 ==> 1
% 1.63/2.05 2 ==> 2
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.63/2.05 parent0: (23884) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==>
% 1.63/2.05 X }.
% 1.63/2.05 parent0: (23898) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X
% 1.63/2.05 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := X
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 1 ==> 1
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.63/2.05 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 1.63/2.05 parent0: (23934) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.63/2.05 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := X
% 1.63/2.05 Y := Y
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 1 ==> 1
% 1.63/2.05 2 ==> 2
% 1.63/2.05 3 ==> 3
% 1.63/2.05 4 ==> 4
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 1.63/2.05 }.
% 1.63/2.05 parent0: (23935) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := X
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 1 ==> 1
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.63/2.05 parent0: (23999) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.63/2.05 parent0: (24000) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 eqswap: (25665) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.63/2.05 parent0[0]: (24003) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.63/2.05 parent0: (25665) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 eqswap: (26013) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.63/2.05 parent0[0]: (24004) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.63/2.05 parent0: (26013) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.63/2.05 parent0: (24005) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 paramod: (27289) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol51 }.
% 1.63/2.05 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.63/2.05 parent1[0; 2]: (24006) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) =
% 1.63/2.05 skol51 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 substitution1:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 paramod: (27290) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol49 }.
% 1.63/2.05 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.63/2.05 parent1[0; 4]: (27289) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) =
% 1.63/2.05 skol51 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 substitution1:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (282) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46,
% 1.63/2.05 skol52 ) ==> skol49 }.
% 1.63/2.05 parent0: (27290) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol49 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 paramod: (27940) {G1,W2,D2,L1,V0,M1} { equalelemsP( skol46 ) }.
% 1.63/2.05 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.63/2.05 parent1[0; 1]: (24007) {G0,W2,D2,L1,V0,M1} { equalelemsP( skol50 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 substitution1:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (283) {G1,W2,D2,L1,V0,M1} I;d(280) { equalelemsP( skol46 ) }.
% 1.63/2.05 parent0: (27940) {G1,W2,D2,L1,V0,M1} { equalelemsP( skol46 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 resolution: (28307) {G1,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 1.63/2.05 parent0[1]: (24010) {G0,W5,D2,L2,V0,M2} { ! segmentP( skol49, skol46 ), !
% 1.63/2.05 equalelemsP( skol46 ) }.
% 1.63/2.05 parent1[0]: (283) {G1,W2,D2,L1,V0,M1} I;d(280) { equalelemsP( skol46 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 substitution1:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (286) {G2,W3,D2,L1,V0,M1} I;r(283) { ! segmentP( skol49,
% 1.63/2.05 skol46 ) }.
% 1.63/2.05 parent0: (28307) {G1,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 resolution: (28308) {G1,W3,D2,L1,V0,M1} { segmentP( skol52, skol52 ) }.
% 1.63/2.05 parent0[0]: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 1.63/2.05 }.
% 1.63/2.05 parent1[0]: (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := skol52
% 1.63/2.05 end
% 1.63/2.05 substitution1:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (495) {G1,W3,D2,L1,V0,M1} R(212,281) { segmentP( skol52,
% 1.63/2.05 skol52 ) }.
% 1.63/2.05 parent0: (28308) {G1,W3,D2,L1,V0,M1} { segmentP( skol52, skol52 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 resolution: (28309) {G1,W10,D2,L4,V1,M4} { ! ssList( skol49 ), ! ssList(
% 1.63/2.05 skol46 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 1.63/2.05 parent0[0]: (286) {G2,W3,D2,L1,V0,M1} I;r(283) { ! segmentP( skol49, skol46
% 1.63/2.05 ) }.
% 1.63/2.05 parent1[4]: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.63/2.05 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 substitution1:
% 1.63/2.05 X := skol49
% 1.63/2.05 Y := skol46
% 1.63/2.05 Z := X
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 resolution: (28314) {G1,W8,D2,L3,V1,M3} { ! ssList( skol46 ), ! ssList( X
% 1.63/2.05 ), ! alpha2( skol49, skol46, X ) }.
% 1.63/2.05 parent0[0]: (28309) {G1,W10,D2,L4,V1,M4} { ! ssList( skol49 ), ! ssList(
% 1.63/2.05 skol46 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 1.63/2.05 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := X
% 1.63/2.05 end
% 1.63/2.05 substitution1:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (879) {G3,W8,D2,L3,V1,M3} R(22,286);r(276) { ! ssList( skol46
% 1.63/2.05 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 1.63/2.05 parent0: (28314) {G1,W8,D2,L3,V1,M3} { ! ssList( skol46 ), ! ssList( X ),
% 1.63/2.05 ! alpha2( skol49, skol46, X ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := X
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 1 ==> 1
% 1.63/2.05 2 ==> 2
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 eqswap: (28316) {G0,W7,D3,L2,V1,M2} { X ==> app( nil, X ), ! ssList( X )
% 1.63/2.05 }.
% 1.63/2.05 parent0[1]: (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==>
% 1.63/2.05 X }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := X
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 resolution: (28317) {G1,W5,D3,L1,V0,M1} { skol46 ==> app( nil, skol46 )
% 1.63/2.05 }.
% 1.63/2.05 parent0[1]: (28316) {G0,W7,D3,L2,V1,M2} { X ==> app( nil, X ), ! ssList( X
% 1.63/2.05 ) }.
% 1.63/2.05 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.63/2.05 substitution0:
% 1.63/2.05 X := skol46
% 1.63/2.05 end
% 1.63/2.05 substitution1:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 eqswap: (28318) {G1,W5,D3,L1,V0,M1} { app( nil, skol46 ) ==> skol46 }.
% 1.63/2.05 parent0[0]: (28317) {G1,W5,D3,L1,V0,M1} { skol46 ==> app( nil, skol46 )
% 1.63/2.05 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 subsumption: (17045) {G1,W5,D3,L1,V0,M1} R(175,275) { app( nil, skol46 )
% 1.63/2.05 ==> skol46 }.
% 1.63/2.05 parent0: (28318) {G1,W5,D3,L1,V0,M1} { app( nil, skol46 ) ==> skol46 }.
% 1.63/2.05 substitution0:
% 1.63/2.05 end
% 1.63/2.05 permutation0:
% 1.63/2.05 0 ==> 0
% 1.63/2.05 end
% 1.63/2.05
% 1.63/2.05 resolution: (28321) {G1,W6,D2,L2,V1,M2} { ! ssList( X ), ! alpha2( skol49
% 1.63/2.05 , skol46, X ) }.
% 1.63/2.05 parent0[0]: (879) {G3,W8,D2,L3,V1,M3} R(22,286);r(276) { ! ssList( skol46 )
% 1.63/2.05 , ! ssList( X ), ! alpha2( skoCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------