TSTP Solution File: SWC069+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC069+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:30 EDT 2022
% Result : Theorem 2.63s 3.02s
% Output : Refutation 2.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC069+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jun 12 19:16:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 *** allocated 15000 integers for termspace/termends
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.74/1.13 { ssItem( skol1 ) }.
% 0.74/1.13 { ssItem( skol47 ) }.
% 0.74/1.13 { ! skol1 = skol47 }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.74/1.13 }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.74/1.13 Y ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.74/1.13 ( X, Y ) }.
% 0.74/1.13 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.74/1.13 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.74/1.13 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.74/1.13 ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.74/1.13 ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.74/1.13 ( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.74/1.13 }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.74/1.13 = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.74/1.13 ( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.74/1.13 }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.74/1.13 , Y ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.74/1.13 segmentP( X, Y ) }.
% 0.74/1.13 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.74/1.13 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.74/1.13 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.74/1.13 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.74/1.13 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.74/1.13 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.74/1.13 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.74/1.13 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, alpha12( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.74/1.13 { leq( X, Y ), alpha12( X, Y ) }.
% 0.74/1.13 { leq( Y, X ), alpha12( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.74/1.13 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.74/1.13 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.74/1.13 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.74/1.13 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.74/1.13 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, alpha13( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.74/1.13 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.74/1.13 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.74/1.13 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.74/1.13 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.74/1.13 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.74/1.13 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.74/1.13 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, alpha14( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.74/1.13 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.74/1.13 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.74/1.13 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.74/1.13 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.74/1.13 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.74/1.13 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.74/1.13 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, leq( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.74/1.13 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.74/1.13 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.74/1.13 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.74/1.13 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.74/1.13 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, lt( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.74/1.13 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.74/1.13 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.74/1.13 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.74/1.13 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.74/1.13 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, ! Y = Z }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.74/1.13 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.74/1.13 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.74/1.13 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.74/1.13 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.74/1.13 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.74/1.13 Z }.
% 0.74/1.13 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.74/1.13 { ssList( nil ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.74/1.13 ) = cons( T, Y ), Z = T }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.74/1.13 ) = cons( T, Y ), Y = X }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.74/1.13 ( cons( Z, Y ), X ) }.
% 0.74/1.13 { ! ssList( X ), app( nil, X ) = X }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.74/1.13 , leq( X, Z ) }.
% 0.74/1.13 { ! ssItem( X ), leq( X, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.74/1.13 lt( X, Z ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.74/1.13 , memberP( Y, X ), memberP( Z, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.74/1.13 app( Y, Z ), X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.74/1.13 app( Y, Z ), X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.74/1.13 , X = Y, memberP( Z, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.74/1.13 ), X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.74/1.13 cons( Y, Z ), X ) }.
% 0.74/1.13 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.74/1.13 { ! singletonP( nil ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.74/1.13 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.74/1.13 = Y }.
% 0.74/1.13 { ! ssList( X ), frontsegP( X, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.74/1.13 frontsegP( app( X, Z ), Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.74/1.13 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.74/1.13 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.74/1.13 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.74/1.13 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.74/1.13 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.74/1.13 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.74/1.13 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.74/1.13 Y }.
% 0.74/1.13 { ! ssList( X ), rearsegP( X, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.74/1.13 ( app( Z, X ), Y ) }.
% 0.74/1.13 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.74/1.13 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.74/1.13 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.74/1.13 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.74/1.13 Y }.
% 0.74/1.13 { ! ssList( X ), segmentP( X, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.74/1.13 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.74/1.13 { ! ssList( X ), segmentP( X, nil ) }.
% 0.74/1.13 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.74/1.13 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.74/1.13 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.74/1.13 { cyclefreeP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.74/1.13 { totalorderP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.74/1.13 { strictorderP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.74/1.13 { totalorderedP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.74/1.13 alpha10( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.74/1.13 .
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.74/1.13 Y ) ) }.
% 0.74/1.13 { ! alpha10( X, Y ), ! nil = Y }.
% 0.74/1.13 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.74/1.13 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.74/1.13 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.74/1.13 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.74/1.13 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.74/1.13 { strictorderedP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.74/1.13 alpha11( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.74/1.13 .
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.74/1.13 , Y ) ) }.
% 0.74/1.13 { ! alpha11( X, Y ), ! nil = Y }.
% 0.74/1.13 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.74/1.13 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.74/1.13 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.74/1.13 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.74/1.13 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.74/1.13 { duplicatefreeP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.74/1.13 { equalelemsP( nil ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.74/1.13 ( Y ) = tl( X ), Y = X }.
% 0.74/1.13 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.74/1.13 , Z = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.74/1.13 , Z = X }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.74/1.13 ( X, app( Y, Z ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), app( X, nil ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.74/1.13 Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.74/1.13 , geq( X, Z ) }.
% 0.74/1.13 { ! ssItem( X ), geq( X, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! lt( X, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.74/1.13 , lt( X, Z ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.74/1.13 gt( X, Z ) }.
% 0.74/1.13 { ssList( skol46 ) }.
% 0.74/1.13 { ssList( skol49 ) }.
% 0.74/1.13 { ssList( skol50 ) }.
% 0.74/1.13 { ssList( skol51 ) }.
% 0.74/1.13 { skol49 = skol51 }.
% 0.74/1.13 { skol46 = skol50 }.
% 0.74/1.13 { ! ssList( X ), ! neq( X, nil ), ! segmentP( skol49, X ), ! segmentP(
% 0.74/1.13 skol46, X ) }.
% 0.74/1.13 { nil = skol50, ! nil = skol51 }.
% 0.74/1.13 { ! nil = skol49, ! nil = skol46 }.
% 0.74/1.13 { alpha44( skol52 ), ! neq( skol51, nil ) }.
% 0.74/1.13 { segmentP( skol51, skol52 ), ! neq( skol51, nil ) }.
% 0.74/1.13 { segmentP( skol50, skol52 ), ! neq( skol51, nil ) }.
% 0.74/1.13 { ! alpha44( X ), ssList( X ) }.
% 0.74/1.13 { ! alpha44( X ), neq( X, nil ) }.
% 0.74/1.13 { ! ssList( X ), ! neq( X, nil ), alpha44( X ) }.
% 0.74/1.13
% 0.74/1.13 *** allocated 15000 integers for clauses
% 0.74/1.13 percentage equality = 0.129673, percentage horn = 0.765517
% 0.74/1.13 This is a problem with some equality
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Options Used:
% 0.74/1.13
% 0.74/1.13 useres = 1
% 0.74/1.13 useparamod = 1
% 0.74/1.13 useeqrefl = 1
% 0.74/1.13 useeqfact = 1
% 0.74/1.13 usefactor = 1
% 0.74/1.13 usesimpsplitting = 0
% 0.74/1.13 usesimpdemod = 5
% 0.74/1.13 usesimpres = 3
% 0.74/1.13
% 0.74/1.13 resimpinuse = 1000
% 0.74/1.13 resimpclauses = 20000
% 0.74/1.13 substype = eqrewr
% 0.74/1.13 backwardsubs = 1
% 0.74/1.13 selectoldest = 5
% 0.74/1.13
% 0.74/1.13 litorderings [0] = split
% 0.74/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.13
% 0.74/1.13 termordering = kbo
% 0.74/1.13
% 0.74/1.13 litapriori = 0
% 0.74/1.13 termapriori = 1
% 0.74/1.13 litaposteriori = 0
% 0.74/1.13 termaposteriori = 0
% 0.74/1.13 demodaposteriori = 0
% 0.74/1.13 ordereqreflfact = 0
% 0.74/1.13
% 0.74/1.13 litselect = negord
% 0.74/1.13
% 0.74/1.13 maxweight = 15
% 0.74/1.13 maxdepth = 30000
% 0.74/1.13 maxlength = 115
% 0.74/1.13 maxnrvars = 195
% 0.74/1.13 excuselevel = 1
% 0.74/1.13 increasemaxweight = 1
% 0.74/1.13
% 0.74/1.13 maxselected = 10000000
% 0.74/1.13 maxnrclauses = 10000000
% 0.74/1.13
% 0.74/1.13 showgenerated = 0
% 0.74/1.13 showkept = 0
% 0.74/1.13 showselected = 0
% 0.74/1.13 showdeleted = 0
% 0.74/1.13 showresimp = 1
% 0.74/1.13 showstatus = 2000
% 0.74/1.13
% 0.74/1.13 prologoutput = 0
% 0.74/1.13 nrgoals = 5000000
% 0.74/1.13 totalproof = 1
% 0.74/1.13
% 0.74/1.13 Symbols occurring in the translation:
% 0.74/1.13
% 0.74/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.13 . [1, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.74/1.13 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.74/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 ssItem [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.13 neq [38, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.74/1.13 ssList [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.13 memberP [40, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.74/1.13 cons [43, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.74/1.13 app [44, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.26/1.67 singletonP [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.26/1.67 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.26/1.67 frontsegP [47, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.26/1.67 rearsegP [48, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.26/1.67 segmentP [49, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.26/1.67 cyclefreeP [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.26/1.67 leq [53, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.26/1.67 totalorderP [54, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.26/1.67 strictorderP [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.26/1.67 lt [56, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.26/1.67 totalorderedP [57, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.26/1.67 strictorderedP [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.26/1.67 duplicatefreeP [59, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.26/1.67 equalelemsP [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.26/1.67 hd [61, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.26/1.67 tl [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.26/1.67 geq [63, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.26/1.67 gt [64, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.26/1.67 alpha1 [65, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.26/1.67 alpha2 [66, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.26/1.67 alpha3 [67, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.26/1.67 alpha4 [68, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.26/1.67 alpha5 [69, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.26/1.67 alpha6 [70, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.26/1.67 alpha7 [71, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.26/1.67 alpha8 [72, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.26/1.67 alpha9 [73, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.26/1.67 alpha10 [74, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.26/1.67 alpha11 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.26/1.67 alpha12 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.26/1.67 alpha13 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.26/1.67 alpha14 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.26/1.67 alpha15 [79, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.26/1.67 alpha16 [80, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.26/1.67 alpha17 [81, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.26/1.67 alpha18 [82, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.26/1.67 alpha19 [83, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.26/1.67 alpha20 [84, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.26/1.67 alpha21 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.26/1.67 alpha22 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.26/1.67 alpha23 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.26/1.67 alpha24 [88, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.26/1.67 alpha25 [89, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.26/1.67 alpha26 [90, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.26/1.67 alpha27 [91, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.26/1.67 alpha28 [92, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.26/1.67 alpha29 [93, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.26/1.67 alpha30 [94, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.26/1.67 alpha31 [95, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.26/1.67 alpha32 [96, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.26/1.67 alpha33 [97, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.26/1.67 alpha34 [98, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.26/1.67 alpha35 [99, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.26/1.67 alpha36 [100, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.26/1.67 alpha37 [101, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.26/1.67 alpha38 [102, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.26/1.67 alpha39 [103, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.26/1.67 alpha40 [104, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.26/1.67 alpha41 [105, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.26/1.67 alpha42 [106, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.26/1.67 alpha43 [107, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.26/1.67 alpha44 [108, 1] (w:1, o:49, a:1, s:1, b:1),
% 1.26/1.67 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.26/1.67 skol2 [110, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.26/1.67 skol3 [111, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.26/1.67 skol4 [112, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.26/1.67 skol5 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.26/1.67 skol6 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.26/1.67 skol7 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.26/1.67 skol8 [116, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.26/1.67 skol9 [117, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.26/1.67 skol10 [118, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.26/1.67 skol11 [119, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.26/1.67 skol12 [120, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.26/1.67 skol13 [121, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.26/1.67 skol14 [122, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.26/1.67 skol15 [123, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.26/1.67 skol16 [124, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.26/1.67 skol17 [125, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.26/1.67 skol18 [126, 5] (w:1, o:150, a:1, s:1, b:1),
% 2.63/3.02 skol19 [127, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.63/3.02 skol20 [128, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.63/3.02 skol21 [129, 3] (w:1, o:119, a:1, s:1, b:1),
% 2.63/3.02 skol22 [130, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.63/3.02 skol23 [131, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.63/3.02 skol24 [132, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.63/3.02 skol25 [133, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.63/3.02 skol26 [134, 3] (w:1, o:120, a:1, s:1, b:1),
% 2.63/3.02 skol27 [135, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.63/3.02 skol28 [136, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.63/3.02 skol29 [137, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.63/3.02 skol30 [138, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.63/3.02 skol31 [139, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.63/3.02 skol32 [140, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.63/3.02 skol33 [141, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.63/3.02 skol34 [142, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.63/3.02 skol35 [143, 2] (w:1, o:109, a:1, s:1, b:1),
% 2.63/3.02 skol36 [144, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.63/3.02 skol37 [145, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.63/3.02 skol38 [146, 5] (w:1, o:154, a:1, s:1, b:1),
% 2.63/3.02 skol39 [147, 1] (w:1, o:32, a:1, s:1, b:1),
% 2.63/3.02 skol40 [148, 2] (w:1, o:102, a:1, s:1, b:1),
% 2.63/3.02 skol41 [149, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.63/3.02 skol42 [150, 4] (w:1, o:141, a:1, s:1, b:1),
% 2.63/3.02 skol43 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.63/3.02 skol44 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.63/3.02 skol45 [153, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.63/3.02 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.63/3.02 skol47 [155, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.63/3.02 skol48 [156, 1] (w:1, o:42, a:1, s:1, b:1),
% 2.63/3.02 skol49 [157, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.63/3.02 skol50 [158, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.63/3.02 skol51 [159, 0] (w:1, o:18, a:1, s:1, b:1),
% 2.63/3.02 skol52 [160, 0] (w:1, o:19, a:1, s:1, b:1).
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Starting Search:
% 2.63/3.02
% 2.63/3.02 *** allocated 22500 integers for clauses
% 2.63/3.02 *** allocated 33750 integers for clauses
% 2.63/3.02 *** allocated 50625 integers for clauses
% 2.63/3.02 *** allocated 22500 integers for termspace/termends
% 2.63/3.02 *** allocated 75937 integers for clauses
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 33750 integers for termspace/termends
% 2.63/3.02 *** allocated 113905 integers for clauses
% 2.63/3.02 *** allocated 50625 integers for termspace/termends
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 3710
% 2.63/3.02 Kept: 2000
% 2.63/3.02 Inuse: 220
% 2.63/3.02 Deleted: 7
% 2.63/3.02 Deletedinuse: 1
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 170857 integers for clauses
% 2.63/3.02 *** allocated 75937 integers for termspace/termends
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 256285 integers for clauses
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 7019
% 2.63/3.02 Kept: 4006
% 2.63/3.02 Inuse: 360
% 2.63/3.02 Deleted: 11
% 2.63/3.02 Deletedinuse: 5
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 113905 integers for termspace/termends
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 384427 integers for clauses
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 10511
% 2.63/3.02 Kept: 6006
% 2.63/3.02 Inuse: 493
% 2.63/3.02 Deleted: 15
% 2.63/3.02 Deletedinuse: 7
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 170857 integers for termspace/termends
% 2.63/3.02 *** allocated 576640 integers for clauses
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 13589
% 2.63/3.02 Kept: 8006
% 2.63/3.02 Inuse: 599
% 2.63/3.02 Deleted: 27
% 2.63/3.02 Deletedinuse: 19
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 17366
% 2.63/3.02 Kept: 10436
% 2.63/3.02 Inuse: 673
% 2.63/3.02 Deleted: 27
% 2.63/3.02 Deletedinuse: 19
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 256285 integers for termspace/termends
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 864960 integers for clauses
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 21912
% 2.63/3.02 Kept: 12459
% 2.63/3.02 Inuse: 743
% 2.63/3.02 Deleted: 27
% 2.63/3.02 Deletedinuse: 19
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 29770
% 2.63/3.02 Kept: 14471
% 2.63/3.02 Inuse: 778
% 2.63/3.02 Deleted: 66
% 2.63/3.02 Deletedinuse: 58
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 384427 integers for termspace/termends
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 34519
% 2.63/3.02 Kept: 16477
% 2.63/3.02 Inuse: 820
% 2.63/3.02 Deleted: 72
% 2.63/3.02 Deletedinuse: 61
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 1297440 integers for clauses
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 41010
% 2.63/3.02 Kept: 18489
% 2.63/3.02 Inuse: 878
% 2.63/3.02 Deleted: 80
% 2.63/3.02 Deletedinuse: 65
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying clauses:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 48926
% 2.63/3.02 Kept: 20493
% 2.63/3.02 Inuse: 908
% 2.63/3.02 Deleted: 2261
% 2.63/3.02 Deletedinuse: 66
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 576640 integers for termspace/termends
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 59972
% 2.63/3.02 Kept: 22727
% 2.63/3.02 Inuse: 946
% 2.63/3.02 Deleted: 2261
% 2.63/3.02 Deletedinuse: 66
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 68920
% 2.63/3.02 Kept: 25014
% 2.63/3.02 Inuse: 986
% 2.63/3.02 Deleted: 2288
% 2.63/3.02 Deletedinuse: 88
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 77130
% 2.63/3.02 Kept: 27345
% 2.63/3.02 Inuse: 1022
% 2.63/3.02 Deleted: 2297
% 2.63/3.02 Deletedinuse: 88
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 1946160 integers for clauses
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 86977
% 2.63/3.02 Kept: 29647
% 2.63/3.02 Inuse: 1052
% 2.63/3.02 Deleted: 2298
% 2.63/3.02 Deletedinuse: 89
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 *** allocated 864960 integers for termspace/termends
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 96267
% 2.63/3.02 Kept: 31838
% 2.63/3.02 Inuse: 1077
% 2.63/3.02 Deleted: 2299
% 2.63/3.02 Deletedinuse: 90
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Intermediate Status:
% 2.63/3.02 Generated: 107219
% 2.63/3.02 Kept: 34070
% 2.63/3.02 Inuse: 1109
% 2.63/3.02 Deleted: 2306
% 2.63/3.02 Deletedinuse: 94
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02 Resimplifying inuse:
% 2.63/3.02 Done
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Bliksems!, er is een bewijs:
% 2.63/3.02 % SZS status Theorem
% 2.63/3.02 % SZS output start Refutation
% 2.63/3.02
% 2.63/3.02 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.63/3.02 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.63/3.02 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.02 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.63/3.02 (281) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ), ! segmentP(
% 2.63/3.02 skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.02 (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, ! skol49 ==>
% 2.63/3.02 nil }.
% 2.63/3.02 (283) {G2,W3,D2,L1,V0,M1} I;d(282);q { ! skol49 ==> nil }.
% 2.63/3.02 (284) {G1,W5,D2,L2,V0,M2} I;d(279) { alpha44( skol52 ), ! neq( skol49, nil
% 2.63/3.02 ) }.
% 2.63/3.02 (285) {G1,W6,D2,L2,V0,M2} I;d(279);d(279) { segmentP( skol49, skol52 ), !
% 2.63/3.02 neq( skol49, nil ) }.
% 2.63/3.02 (286) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { segmentP( skol46, skol52 ), !
% 2.63/3.02 neq( skol49, nil ) }.
% 2.63/3.02 (287) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 2.63/3.02 (288) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil ) }.
% 2.63/3.02 (775) {G2,W6,D2,L2,V0,M2} R(284,288) { ! neq( skol49, nil ), neq( skol52,
% 2.63/3.02 nil ) }.
% 2.63/3.02 (777) {G2,W5,D2,L2,V0,M2} R(284,287) { ! neq( skol49, nil ), ssList( skol52
% 2.63/3.02 ) }.
% 2.63/3.02 (13279) {G3,W8,D2,L3,V1,M3} P(159,283);r(276) { ! X = nil, ! ssList( X ),
% 2.63/3.02 neq( skol49, X ) }.
% 2.63/3.02 (13312) {G4,W3,D2,L1,V0,M1} Q(13279);r(161) { neq( skol49, nil ) }.
% 2.63/3.02 (13362) {G5,W3,D2,L1,V0,M1} R(13312,285) { segmentP( skol49, skol52 ) }.
% 2.63/3.02 (13363) {G5,W3,D2,L1,V0,M1} R(13312,286) { segmentP( skol46, skol52 ) }.
% 2.63/3.02 (13364) {G5,W3,D2,L1,V0,M1} R(13312,775) { neq( skol52, nil ) }.
% 2.63/3.02 (13372) {G5,W2,D2,L1,V0,M1} R(13312,777) { ssList( skol52 ) }.
% 2.63/3.02 (35047) {G6,W6,D2,L2,V0,M2} R(281,13364);r(13372) { ! segmentP( skol49,
% 2.63/3.02 skol52 ), ! segmentP( skol46, skol52 ) }.
% 2.63/3.02 (35256) {G7,W0,D0,L0,V0,M0} S(35047);r(13362);r(13363) { }.
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 % SZS output end Refutation
% 2.63/3.02 found a proof!
% 2.63/3.02
% 2.63/3.02
% 2.63/3.02 Unprocessed initial clauses:
% 2.63/3.02
% 2.63/3.02 (35258) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.63/3.02 , ! X = Y }.
% 2.63/3.02 (35259) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35260) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.63/3.02 (35261) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.63/3.02 (35262) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.63/3.02 (35263) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.63/3.02 , Y ), ssList( skol2( Z, T ) ) }.
% 2.63/3.02 (35264) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.63/3.02 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.63/3.02 (35265) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.02 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.63/3.02 (35266) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.63/3.02 ) ) }.
% 2.63/3.02 (35267) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.63/3.02 ( X, Y, Z ) ) ) = X }.
% 2.63/3.02 (35268) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.63/3.02 , alpha1( X, Y, Z ) }.
% 2.63/3.02 (35269) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.63/3.02 skol4( Y ) ) }.
% 2.63/3.02 (35270) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.63/3.02 skol4( X ), nil ) = X }.
% 2.63/3.02 (35271) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.63/3.02 nil ) = X, singletonP( X ) }.
% 2.63/3.02 (35272) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.63/3.02 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.63/3.02 (35273) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.63/3.02 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.63/3.02 (35274) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.63/3.02 (35275) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.63/3.02 , Y ), ssList( skol6( Z, T ) ) }.
% 2.63/3.02 (35276) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.63/3.02 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.63/3.02 (35277) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.63/3.02 (35278) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.63/3.02 , Y ), ssList( skol7( Z, T ) ) }.
% 2.63/3.02 (35279) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.63/3.02 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.63/3.02 (35280) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.63/3.02 (35281) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.63/3.02 ) ) }.
% 2.63/3.02 (35282) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.63/3.02 skol8( X, Y, Z ) ) = X }.
% 2.63/3.02 (35283) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.63/3.02 , alpha2( X, Y, Z ) }.
% 2.63/3.02 (35284) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.63/3.02 Y ), alpha3( X, Y ) }.
% 2.63/3.02 (35285) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.63/3.02 cyclefreeP( X ) }.
% 2.63/3.02 (35286) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.63/3.02 cyclefreeP( X ) }.
% 2.63/3.02 (35287) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.63/3.02 , Y, Z ) }.
% 2.63/3.02 (35288) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.63/3.02 (35289) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35290) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.63/3.02 alpha28( X, Y, Z, T ) }.
% 2.63/3.02 (35291) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.63/3.02 Z ) }.
% 2.63/3.02 (35292) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.63/3.02 alpha21( X, Y, Z ) }.
% 2.63/3.02 (35293) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.02 alpha35( X, Y, Z, T, U ) }.
% 2.63/3.02 (35294) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.63/3.02 X, Y, Z, T ) }.
% 2.63/3.02 (35295) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.63/3.02 ), alpha28( X, Y, Z, T ) }.
% 2.63/3.02 (35296) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.02 alpha41( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35297) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.63/3.02 alpha35( X, Y, Z, T, U ) }.
% 2.63/3.02 (35298) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.63/3.02 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.63/3.02 (35299) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.02 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.63/3.02 (35300) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.02 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35301) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.63/3.02 W ) }.
% 2.63/3.02 (35302) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.63/3.02 X ) }.
% 2.63/3.02 (35303) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.63/3.02 (35304) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.63/3.02 (35305) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.63/3.02 ( Y ), alpha4( X, Y ) }.
% 2.63/3.02 (35306) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.63/3.02 totalorderP( X ) }.
% 2.63/3.02 (35307) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.63/3.02 totalorderP( X ) }.
% 2.63/3.02 (35308) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.63/3.02 , Y, Z ) }.
% 2.63/3.02 (35309) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.63/3.02 (35310) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35311) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.63/3.02 alpha29( X, Y, Z, T ) }.
% 2.63/3.02 (35312) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.63/3.02 Z ) }.
% 2.63/3.02 (35313) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.63/3.02 alpha22( X, Y, Z ) }.
% 2.63/3.02 (35314) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.02 alpha36( X, Y, Z, T, U ) }.
% 2.63/3.02 (35315) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.63/3.02 X, Y, Z, T ) }.
% 2.63/3.02 (35316) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.63/3.02 ), alpha29( X, Y, Z, T ) }.
% 2.63/3.02 (35317) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.02 alpha42( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35318) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.63/3.02 alpha36( X, Y, Z, T, U ) }.
% 2.63/3.02 (35319) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.63/3.02 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.63/3.02 (35320) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.02 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.63/3.02 (35321) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.02 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35322) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.63/3.02 W ) }.
% 2.63/3.02 (35323) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.63/3.02 }.
% 2.63/3.02 (35324) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.63/3.02 (35325) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.63/3.02 (35326) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.63/3.02 ( Y ), alpha5( X, Y ) }.
% 2.63/3.02 (35327) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.63/3.02 strictorderP( X ) }.
% 2.63/3.02 (35328) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.63/3.02 strictorderP( X ) }.
% 2.63/3.02 (35329) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.63/3.02 , Y, Z ) }.
% 2.63/3.02 (35330) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.63/3.02 (35331) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35332) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.63/3.02 alpha30( X, Y, Z, T ) }.
% 2.63/3.02 (35333) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.63/3.02 Z ) }.
% 2.63/3.02 (35334) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.63/3.02 alpha23( X, Y, Z ) }.
% 2.63/3.02 (35335) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.02 alpha37( X, Y, Z, T, U ) }.
% 2.63/3.02 (35336) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.63/3.02 X, Y, Z, T ) }.
% 2.63/3.02 (35337) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.63/3.02 ), alpha30( X, Y, Z, T ) }.
% 2.63/3.02 (35338) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.02 alpha43( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35339) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.63/3.02 alpha37( X, Y, Z, T, U ) }.
% 2.63/3.02 (35340) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.63/3.02 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.63/3.02 (35341) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.02 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.63/3.02 (35342) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.02 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35343) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.63/3.02 W ) }.
% 2.63/3.02 (35344) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.63/3.02 }.
% 2.63/3.02 (35345) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.63/3.02 (35346) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.63/3.02 (35347) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.63/3.02 ssItem( Y ), alpha6( X, Y ) }.
% 2.63/3.02 (35348) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.63/3.02 totalorderedP( X ) }.
% 2.63/3.02 (35349) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.63/3.02 totalorderedP( X ) }.
% 2.63/3.02 (35350) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.63/3.02 , Y, Z ) }.
% 2.63/3.02 (35351) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.63/3.02 (35352) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35353) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.63/3.02 alpha24( X, Y, Z, T ) }.
% 2.63/3.02 (35354) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.63/3.02 Z ) }.
% 2.63/3.02 (35355) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.63/3.02 alpha15( X, Y, Z ) }.
% 2.63/3.02 (35356) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.02 alpha31( X, Y, Z, T, U ) }.
% 2.63/3.02 (35357) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.63/3.02 X, Y, Z, T ) }.
% 2.63/3.02 (35358) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.63/3.02 ), alpha24( X, Y, Z, T ) }.
% 2.63/3.02 (35359) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.02 alpha38( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35360) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.63/3.02 alpha31( X, Y, Z, T, U ) }.
% 2.63/3.02 (35361) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.63/3.02 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.63/3.02 (35362) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.02 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.63/3.02 (35363) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.02 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35364) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.63/3.02 }.
% 2.63/3.02 (35365) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.63/3.02 ssItem( Y ), alpha7( X, Y ) }.
% 2.63/3.02 (35366) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.63/3.02 strictorderedP( X ) }.
% 2.63/3.02 (35367) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.63/3.02 strictorderedP( X ) }.
% 2.63/3.02 (35368) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.63/3.02 , Y, Z ) }.
% 2.63/3.02 (35369) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.63/3.02 (35370) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35371) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.63/3.02 alpha25( X, Y, Z, T ) }.
% 2.63/3.02 (35372) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.63/3.02 Z ) }.
% 2.63/3.02 (35373) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.63/3.02 alpha16( X, Y, Z ) }.
% 2.63/3.02 (35374) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.02 alpha32( X, Y, Z, T, U ) }.
% 2.63/3.02 (35375) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.63/3.02 X, Y, Z, T ) }.
% 2.63/3.02 (35376) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.63/3.02 ), alpha25( X, Y, Z, T ) }.
% 2.63/3.02 (35377) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.02 alpha39( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35378) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.63/3.02 alpha32( X, Y, Z, T, U ) }.
% 2.63/3.02 (35379) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.63/3.02 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.63/3.02 (35380) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.02 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.63/3.02 (35381) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.02 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35382) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.63/3.02 }.
% 2.63/3.02 (35383) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.63/3.02 ssItem( Y ), alpha8( X, Y ) }.
% 2.63/3.02 (35384) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.63/3.02 duplicatefreeP( X ) }.
% 2.63/3.02 (35385) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.63/3.02 duplicatefreeP( X ) }.
% 2.63/3.02 (35386) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.63/3.02 , Y, Z ) }.
% 2.63/3.02 (35387) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.63/3.02 (35388) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35389) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.63/3.02 alpha26( X, Y, Z, T ) }.
% 2.63/3.02 (35390) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.63/3.02 Z ) }.
% 2.63/3.02 (35391) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.63/3.02 alpha17( X, Y, Z ) }.
% 2.63/3.02 (35392) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.02 alpha33( X, Y, Z, T, U ) }.
% 2.63/3.02 (35393) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.63/3.02 X, Y, Z, T ) }.
% 2.63/3.02 (35394) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.63/3.02 ), alpha26( X, Y, Z, T ) }.
% 2.63/3.02 (35395) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.63/3.02 alpha40( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35396) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.63/3.02 alpha33( X, Y, Z, T, U ) }.
% 2.63/3.02 (35397) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.63/3.02 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.63/3.02 (35398) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.63/3.02 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.63/3.02 (35399) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.63/3.02 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35400) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.63/3.02 (35401) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.63/3.02 ( Y ), alpha9( X, Y ) }.
% 2.63/3.02 (35402) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.63/3.02 equalelemsP( X ) }.
% 2.63/3.02 (35403) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.63/3.02 equalelemsP( X ) }.
% 2.63/3.02 (35404) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.63/3.02 , Y, Z ) }.
% 2.63/3.02 (35405) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.63/3.02 (35406) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35407) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.63/3.02 alpha27( X, Y, Z, T ) }.
% 2.63/3.02 (35408) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.63/3.02 Z ) }.
% 2.63/3.02 (35409) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.63/3.02 alpha18( X, Y, Z ) }.
% 2.63/3.02 (35410) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.63/3.02 alpha34( X, Y, Z, T, U ) }.
% 2.63/3.02 (35411) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.63/3.02 X, Y, Z, T ) }.
% 2.63/3.02 (35412) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.63/3.02 ), alpha27( X, Y, Z, T ) }.
% 2.63/3.02 (35413) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.63/3.02 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.63/3.02 (35414) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.63/3.02 alpha34( X, Y, Z, T, U ) }.
% 2.63/3.02 (35415) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.63/3.02 (35416) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.63/3.02 , ! X = Y }.
% 2.63/3.02 (35417) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.63/3.02 , Y ) }.
% 2.63/3.02 (35418) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.63/3.02 Y, X ) ) }.
% 2.63/3.02 (35419) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.63/3.02 (35420) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.63/3.02 = X }.
% 2.63/3.02 (35421) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.63/3.02 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.63/3.02 (35422) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.63/3.02 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.63/3.02 (35423) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.63/3.02 ) }.
% 2.63/3.02 (35424) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.63/3.02 ) }.
% 2.63/3.02 (35425) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.63/3.02 skol43( X ) ) = X }.
% 2.63/3.02 (35426) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.63/3.02 Y, X ) }.
% 2.63/3.02 (35427) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.63/3.02 }.
% 2.63/3.02 (35428) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.63/3.02 X ) ) = Y }.
% 2.63/3.02 (35429) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.63/3.02 }.
% 2.63/3.02 (35430) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.63/3.02 X ) ) = X }.
% 2.63/3.02 (35431) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.63/3.02 , Y ) ) }.
% 2.63/3.02 (35432) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.63/3.02 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.63/3.02 (35433) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.63/3.02 (35434) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.63/3.02 , ! leq( Y, X ), X = Y }.
% 2.63/3.02 (35435) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.02 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.63/3.02 (35436) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.63/3.02 (35437) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.63/3.02 , leq( Y, X ) }.
% 2.63/3.02 (35438) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.63/3.02 , geq( X, Y ) }.
% 2.63/3.02 (35439) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.63/3.02 , ! lt( Y, X ) }.
% 2.63/3.02 (35440) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.02 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.63/3.02 (35441) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.63/3.02 , lt( Y, X ) }.
% 2.63/3.02 (35442) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.63/3.02 , gt( X, Y ) }.
% 2.63/3.02 (35443) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.63/3.02 (35444) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.63/3.02 (35445) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.63/3.02 (35446) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.02 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.63/3.02 (35447) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.02 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.63/3.02 (35448) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.02 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.63/3.02 (35449) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.63/3.02 (35450) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.63/3.02 (35451) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.63/3.02 (35452) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.63/3.02 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.63/3.02 (35453) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.63/3.02 (35454) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.63/3.02 (35455) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.02 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.63/3.02 (35456) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.02 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.63/3.02 , T ) }.
% 2.63/3.02 (35457) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.63/3.02 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.63/3.02 cons( Y, T ) ) }.
% 2.63/3.02 (35458) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.63/3.02 (35459) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.63/3.02 X }.
% 2.63/3.02 (35460) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.63/3.02 ) }.
% 2.63/3.02 (35461) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.63/3.02 (35462) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.63/3.02 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.63/3.02 (35463) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.63/3.02 (35464) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.63/3.02 (35465) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.63/3.02 (35466) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.63/3.02 }.
% 2.63/3.02 (35467) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.63/3.02 }.
% 2.63/3.02 (35468) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.63/3.02 (35469) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.63/3.02 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.63/3.02 (35470) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.63/3.02 (35471) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.63/3.02 }.
% 2.63/3.02 (35472) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.63/3.02 (35473) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.63/3.02 }.
% 2.63/3.02 (35474) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.63/3.02 }.
% 2.63/3.02 (35475) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.63/3.02 }.
% 2.63/3.02 (35476) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.63/3.02 (35477) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.63/3.02 }.
% 2.63/3.02 (35478) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.63/3.02 (35479) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.63/3.02 ) }.
% 2.63/3.02 (35480) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.63/3.02 (35481) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.63/3.02 ) }.
% 2.63/3.02 (35482) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.63/3.02 (35483) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.63/3.02 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.63/3.02 (35484) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.63/3.02 totalorderedP( cons( X, Y ) ) }.
% 2.63/3.02 (35485) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.63/3.02 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.63/3.02 (35486) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.63/3.02 (35487) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.63/3.02 (35488) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.63/3.02 }.
% 2.63/3.02 (35489) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.63/3.02 (35490) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.63/3.02 (35491) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.63/3.02 alpha19( X, Y ) }.
% 2.63/3.02 (35492) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.63/3.02 ) ) }.
% 2.63/3.02 (35493) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.63/3.02 (35494) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.63/3.02 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.63/3.02 (35495) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.63/3.02 strictorderedP( cons( X, Y ) ) }.
% 2.63/3.02 (35496) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.63/3.02 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.63/3.02 (35497) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.63/3.02 (35498) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.63/3.02 (35499) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.63/3.02 }.
% 2.63/3.02 (35500) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.63/3.02 (35501) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.63/3.02 (35502) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.63/3.02 alpha20( X, Y ) }.
% 2.63/3.02 (35503) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.63/3.02 ) ) }.
% 2.63/3.02 (35504) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.63/3.02 (35505) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.63/3.02 }.
% 2.63/3.02 (35506) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.63/3.02 (35507) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.63/3.02 ) }.
% 2.63/3.02 (35508) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.63/3.02 ) }.
% 2.63/3.02 (35509) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.63/3.02 ) }.
% 2.63/3.02 (35510) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.63/3.02 ) }.
% 2.63/3.02 (35511) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.63/3.02 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.63/3.02 (35512) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.63/3.02 X ) ) = X }.
% 2.63/3.02 (35513) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.63/3.02 (35514) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.63/3.02 (35515) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.63/3.02 = app( cons( Y, nil ), X ) }.
% 2.63/3.02 (35516) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.63/3.02 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.63/3.02 (35517) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.63/3.02 X, Y ), nil = Y }.
% 2.63/3.02 (35518) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.63/3.02 X, Y ), nil = X }.
% 2.63/3.02 (35519) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.63/3.02 nil = X, nil = app( X, Y ) }.
% 2.63/3.02 (35520) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.63/3.03 (35521) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.63/3.03 app( X, Y ) ) = hd( X ) }.
% 2.63/3.03 (35522) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.63/3.03 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.63/3.03 (35523) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.63/3.03 , ! geq( Y, X ), X = Y }.
% 2.63/3.03 (35524) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.03 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.63/3.03 (35525) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.63/3.03 (35526) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.63/3.03 (35527) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.03 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.63/3.03 (35528) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.63/3.03 , X = Y, lt( X, Y ) }.
% 2.63/3.03 (35529) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.63/3.03 , ! X = Y }.
% 2.63/3.03 (35530) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.63/3.03 , leq( X, Y ) }.
% 2.63/3.03 (35531) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.63/3.03 ( X, Y ), lt( X, Y ) }.
% 2.63/3.03 (35532) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.63/3.03 , ! gt( Y, X ) }.
% 2.63/3.03 (35533) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.63/3.03 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.63/3.03 (35534) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.63/3.03 (35535) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.63/3.03 (35536) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.63/3.03 (35537) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.63/3.03 (35538) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.63/3.03 (35539) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.63/3.03 (35540) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), ! segmentP
% 2.63/3.03 ( skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.03 (35541) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 2.63/3.03 (35542) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil = skol46 }.
% 2.63/3.03 (35543) {G0,W5,D2,L2,V0,M2} { alpha44( skol52 ), ! neq( skol51, nil ) }.
% 2.63/3.03 (35544) {G0,W6,D2,L2,V0,M2} { segmentP( skol51, skol52 ), ! neq( skol51,
% 2.63/3.03 nil ) }.
% 2.63/3.03 (35545) {G0,W6,D2,L2,V0,M2} { segmentP( skol50, skol52 ), ! neq( skol51,
% 2.63/3.03 nil ) }.
% 2.63/3.03 (35546) {G0,W4,D2,L2,V1,M2} { ! alpha44( X ), ssList( X ) }.
% 2.63/3.03 (35547) {G0,W5,D2,L2,V1,M2} { ! alpha44( X ), neq( X, nil ) }.
% 2.63/3.03 (35548) {G0,W7,D2,L3,V1,M3} { ! ssList( X ), ! neq( X, nil ), alpha44( X )
% 2.63/3.03 }.
% 2.63/3.03
% 2.63/3.03
% 2.63/3.03 Total Proof:
% 2.63/3.03
% 2.63/3.03 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 2.63/3.03 = Y, neq( X, Y ) }.
% 2.63/3.03 parent0: (35417) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 2.63/3.03 Y, neq( X, Y ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 X := X
% 2.63/3.03 Y := Y
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 1 ==> 1
% 2.63/3.03 2 ==> 2
% 2.63/3.03 3 ==> 3
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.63/3.03 parent0: (35419) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.63/3.03 parent0: (35535) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 eqswap: (36383) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.63/3.03 parent0[0]: (35538) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.03 parent0: (36383) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 eqswap: (36731) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.63/3.03 parent0[0]: (35539) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.63/3.03 parent0: (36731) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.63/3.03 substitution0:
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 subsumption: (281) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil )
% 2.63/3.03 , ! segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.03 parent0: (35540) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), !
% 2.63/3.03 segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 2.63/3.03 substitution0:
% 2.63/3.03 X := X
% 2.63/3.03 end
% 2.63/3.03 permutation0:
% 2.63/3.03 0 ==> 0
% 2.63/3.03 1 ==> 1
% 2.63/3.03 2 ==> 2
% 2.63/3.03 3 ==> 3
% 2.63/3.03 end
% 2.63/3.03
% 2.63/3.03 paramod: (38009) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51 }.
% 2.63/3.03 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.63/3.03 parent1[0; 2]: (35541) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51
% 2.63/3.04 }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 substitution1:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 paramod: (38010) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 2.63/3.04 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.04 parent1[1; 3]: (38009) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51
% 2.63/3.04 }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 substitution1:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 eqswap: (38012) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 2.63/3.04 parent0[1]: (38010) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 eqswap: (38013) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 2.63/3.04 parent0[1]: (38012) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 subsumption: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 2.63/3.04 skol49 ==> nil }.
% 2.63/3.04 parent0: (38013) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 permutation0:
% 2.63/3.04 0 ==> 1
% 2.63/3.04 1 ==> 0
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 eqswap: (39233) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil }.
% 2.63/3.04 parent0[1]: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 2.63/3.04 skol49 ==> nil }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 paramod: (39238) {G1,W9,D2,L3,V0,M3} { ! nil = nil, ! nil ==> skol49, !
% 2.63/3.04 nil = skol49 }.
% 2.63/3.04 parent0[1]: (39233) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil
% 2.63/3.04 }.
% 2.63/3.04 parent1[1; 3]: (35542) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil =
% 2.63/3.04 skol46 }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 substitution1:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 factor: (39239) {G1,W6,D2,L2,V0,M2} { ! nil = nil, ! nil ==> skol49 }.
% 2.63/3.04 parent0[1, 2]: (39238) {G1,W9,D2,L3,V0,M3} { ! nil = nil, ! nil ==> skol49
% 2.63/3.04 , ! nil = skol49 }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 eqrefl: (39240) {G0,W3,D2,L1,V0,M1} { ! nil ==> skol49 }.
% 2.63/3.04 parent0[0]: (39239) {G1,W6,D2,L2,V0,M2} { ! nil = nil, ! nil ==> skol49
% 2.63/3.04 }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 eqswap: (39241) {G0,W3,D2,L1,V0,M1} { ! skol49 ==> nil }.
% 2.63/3.04 parent0[0]: (39240) {G0,W3,D2,L1,V0,M1} { ! nil ==> skol49 }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 subsumption: (283) {G2,W3,D2,L1,V0,M1} I;d(282);q { ! skol49 ==> nil }.
% 2.63/3.04 parent0: (39241) {G0,W3,D2,L1,V0,M1} { ! skol49 ==> nil }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 permutation0:
% 2.63/3.04 0 ==> 0
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 paramod: (39908) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), alpha44(
% 2.63/3.04 skol52 ) }.
% 2.63/3.04 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.04 parent1[1; 2]: (35543) {G0,W5,D2,L2,V0,M2} { alpha44( skol52 ), ! neq(
% 2.63/3.04 skol51, nil ) }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 substitution1:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 subsumption: (284) {G1,W5,D2,L2,V0,M2} I;d(279) { alpha44( skol52 ), ! neq
% 2.63/3.04 ( skol49, nil ) }.
% 2.63/3.04 parent0: (39908) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), alpha44(
% 2.63/3.04 skol52 ) }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 permutation0:
% 2.63/3.04 0 ==> 1
% 2.63/3.04 1 ==> 0
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 paramod: (40853) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), segmentP(
% 2.63/3.04 skol51, skol52 ) }.
% 2.63/3.04 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.04 parent1[1; 2]: (35544) {G0,W6,D2,L2,V0,M2} { segmentP( skol51, skol52 ), !
% 2.63/3.04 neq( skol51, nil ) }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 substitution1:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 paramod: (40855) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol52 ), ! neq(
% 2.63/3.04 skol49, nil ) }.
% 2.63/3.04 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.04 parent1[1; 1]: (40853) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ),
% 2.63/3.04 segmentP( skol51, skol52 ) }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 substitution1:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 subsumption: (285) {G1,W6,D2,L2,V0,M2} I;d(279);d(279) { segmentP( skol49,
% 2.63/3.04 skol52 ), ! neq( skol49, nil ) }.
% 2.63/3.04 parent0: (40855) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol52 ), ! neq(
% 2.63/3.04 skol49, nil ) }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 permutation0:
% 2.63/3.04 0 ==> 0
% 2.63/3.04 1 ==> 1
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 paramod: (41816) {G1,W6,D2,L2,V0,M2} { segmentP( skol46, skol52 ), ! neq(
% 2.63/3.04 skol51, nil ) }.
% 2.63/3.04 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.63/3.04 parent1[0; 1]: (35545) {G0,W6,D2,L2,V0,M2} { segmentP( skol50, skol52 ), !
% 2.63/3.04 neq( skol51, nil ) }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 substitution1:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 paramod: (41817) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), segmentP(
% 2.63/3.04 skol46, skol52 ) }.
% 2.63/3.04 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.63/3.04 parent1[1; 2]: (41816) {G1,W6,D2,L2,V0,M2} { segmentP( skol46, skol52 ), !
% 2.63/3.04 neq( skol51, nil ) }.
% 2.63/3.04 substitution0:
% 2.63/3.04 end
% 2.63/3.04 substitution1:
% 2.63/3.04 end
% 2.63/3.04
% 2.63/3.04 subsumption: (286) {G1,W6,D2Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------