TSTP Solution File: SWC124+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC124+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:34:02 EDT 2022
% Result : Theorem 1.74s 2.14s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC124+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.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 12:02:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.15 *** allocated 10000 integers for termspace/termends
% 0.69/1.15 *** allocated 10000 integers for clauses
% 0.69/1.15 *** allocated 10000 integers for justifications
% 0.69/1.15 Bliksem 1.12
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 Automatic Strategy Selection
% 0.69/1.15
% 0.69/1.15 *** allocated 15000 integers for termspace/termends
% 0.69/1.15
% 0.69/1.15 Clauses:
% 0.69/1.15
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.69/1.15 { ssItem( skol1 ) }.
% 0.69/1.15 { ssItem( skol47 ) }.
% 0.69/1.15 { ! skol1 = skol47 }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.69/1.15 }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.69/1.15 Y ) ) }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.69/1.15 ( X, Y ) }.
% 0.69/1.15 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.69/1.15 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.69/1.15 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.69/1.15 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.69/1.15 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.69/1.15 ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.69/1.15 ) = X }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.69/1.15 ( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.69/1.15 }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.69/1.15 = X }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.69/1.15 ( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.69/1.15 }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.69/1.15 , Y ) ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.69/1.15 segmentP( X, Y ) }.
% 0.69/1.15 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.69/1.15 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.69/1.15 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.69/1.15 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.69/1.15 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.69/1.15 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.69/1.15 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.69/1.15 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.69/1.15 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.69/1.15 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.69/1.15 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.69/1.15 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.69/1.15 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.69/1.15 .
% 0.69/1.15 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.69/1.15 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.69/1.15 , U ) }.
% 0.69/1.15 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.15 ) ) = X, alpha12( Y, Z ) }.
% 0.69/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.69/1.15 W ) }.
% 0.69/1.15 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.69/1.15 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.69/1.15 { leq( X, Y ), alpha12( X, Y ) }.
% 0.69/1.15 { leq( Y, X ), alpha12( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.69/1.15 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.69/1.15 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.69/1.15 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.69/1.15 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.69/1.15 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.69/1.15 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.69/1.15 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.69/1.15 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.69/1.15 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.69/1.15 .
% 0.69/1.15 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.69/1.15 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.69/1.15 , U ) }.
% 0.69/1.15 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.15 ) ) = X, alpha13( Y, Z ) }.
% 0.69/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.69/1.15 W ) }.
% 0.69/1.15 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.69/1.15 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.69/1.15 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.69/1.15 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.69/1.15 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.69/1.15 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.69/1.15 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.69/1.15 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.69/1.15 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.69/1.15 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.69/1.15 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.69/1.15 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.69/1.15 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.69/1.15 .
% 0.69/1.15 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.69/1.15 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.69/1.15 , U ) }.
% 0.69/1.15 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.15 ) ) = X, alpha14( Y, Z ) }.
% 0.69/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.69/1.15 W ) }.
% 0.69/1.15 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.69/1.15 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.69/1.15 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.69/1.15 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.69/1.15 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.69/1.15 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.69/1.15 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.69/1.15 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.69/1.15 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.69/1.15 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.69/1.15 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.69/1.15 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.69/1.15 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.69/1.15 .
% 0.69/1.15 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.69/1.15 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.69/1.15 , U ) }.
% 0.69/1.15 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.15 ) ) = X, leq( Y, Z ) }.
% 0.69/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.69/1.15 W ) }.
% 0.69/1.15 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.69/1.15 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.69/1.15 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.69/1.15 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.69/1.15 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.69/1.15 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.69/1.15 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.69/1.15 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.69/1.15 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.69/1.15 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.69/1.15 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.69/1.15 .
% 0.69/1.15 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.69/1.15 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.69/1.15 , U ) }.
% 0.69/1.15 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.15 ) ) = X, lt( Y, Z ) }.
% 0.69/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.69/1.15 W ) }.
% 0.69/1.15 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.69/1.15 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.69/1.15 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.69/1.15 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.69/1.15 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.69/1.15 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.69/1.15 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.69/1.15 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.69/1.15 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.69/1.15 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.69/1.15 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.69/1.15 .
% 0.69/1.15 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.69/1.15 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.69/1.15 , U ) }.
% 0.69/1.15 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.15 ) ) = X, ! Y = Z }.
% 0.69/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.69/1.15 W ) }.
% 0.69/1.15 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.69/1.15 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.69/1.15 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.69/1.15 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.69/1.15 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.69/1.15 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.69/1.15 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.69/1.15 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.69/1.15 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.69/1.15 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.69/1.15 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.69/1.15 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.69/1.15 Z }.
% 0.69/1.15 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.69/1.15 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.69/1.15 { ssList( nil ) }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.69/1.15 ) = cons( T, Y ), Z = T }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.69/1.15 ) = cons( T, Y ), Y = X }.
% 0.69/1.15 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.69/1.15 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.69/1.15 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.69/1.15 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.69/1.15 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.69/1.15 ( cons( Z, Y ), X ) }.
% 0.69/1.15 { ! ssList( X ), app( nil, X ) = X }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.69/1.15 , leq( X, Z ) }.
% 0.69/1.15 { ! ssItem( X ), leq( X, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.69/1.15 lt( X, Z ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.69/1.15 , memberP( Y, X ), memberP( Z, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.69/1.15 app( Y, Z ), X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.69/1.15 app( Y, Z ), X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.69/1.15 , X = Y, memberP( Z, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.69/1.15 ), X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.69/1.15 cons( Y, Z ), X ) }.
% 0.69/1.15 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.69/1.15 { ! singletonP( nil ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.69/1.15 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.69/1.15 = Y }.
% 0.69/1.15 { ! ssList( X ), frontsegP( X, X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.69/1.15 frontsegP( app( X, Z ), Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.69/1.15 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.69/1.15 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.69/1.15 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.69/1.15 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.69/1.15 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.69/1.15 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.69/1.15 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.69/1.15 Y }.
% 0.69/1.15 { ! ssList( X ), rearsegP( X, X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.69/1.15 ( app( Z, X ), Y ) }.
% 0.69/1.15 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.69/1.15 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.69/1.15 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.69/1.15 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.69/1.15 Y }.
% 0.69/1.15 { ! ssList( X ), segmentP( X, X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.69/1.15 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.69/1.15 { ! ssList( X ), segmentP( X, nil ) }.
% 0.69/1.15 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.69/1.15 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.69/1.15 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.69/1.15 { cyclefreeP( nil ) }.
% 0.69/1.15 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.69/1.15 { totalorderP( nil ) }.
% 0.69/1.15 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.69/1.15 { strictorderP( nil ) }.
% 0.69/1.15 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.69/1.15 { totalorderedP( nil ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.69/1.15 alpha10( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.69/1.15 .
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.69/1.15 Y ) ) }.
% 0.69/1.15 { ! alpha10( X, Y ), ! nil = Y }.
% 0.69/1.15 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.69/1.15 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.69/1.15 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.69/1.15 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.69/1.15 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.69/1.15 { strictorderedP( nil ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.69/1.15 alpha11( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.69/1.15 .
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.69/1.15 , Y ) ) }.
% 0.69/1.15 { ! alpha11( X, Y ), ! nil = Y }.
% 0.69/1.15 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.69/1.15 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.69/1.15 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.69/1.15 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.69/1.15 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.69/1.15 { duplicatefreeP( nil ) }.
% 0.69/1.15 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.69/1.15 { equalelemsP( nil ) }.
% 0.69/1.15 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.69/1.15 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.69/1.15 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.69/1.15 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.69/1.15 ( Y ) = tl( X ), Y = X }.
% 0.69/1.15 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.69/1.15 , Z = X }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.69/1.15 , Z = X }.
% 0.69/1.15 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.69/1.15 ( X, app( Y, Z ) ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.69/1.15 { ! ssList( X ), app( X, nil ) = X }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.69/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.69/1.15 Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.69/1.15 , geq( X, Z ) }.
% 0.69/1.15 { ! ssItem( X ), geq( X, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! lt( X, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.69/1.15 , lt( X, Z ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.69/1.15 gt( X, Z ) }.
% 0.69/1.15 { ssList( skol46 ) }.
% 0.69/1.15 { ssList( skol49 ) }.
% 0.69/1.15 { ssList( skol50 ) }.
% 0.69/1.15 { ssList( skol51 ) }.
% 0.69/1.15 { skol49 = skol51 }.
% 0.69/1.15 { skol46 = skol50 }.
% 0.69/1.15 { neq( skol49, nil ) }.
% 0.69/1.15 { ssList( skol52 ) }.
% 0.69/1.15 { app( skol50, skol52 ) = skol51 }.
% 0.69/1.15 { totalorderedP( skol50 ) }.
% 0.69/1.15 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol52, !
% 0.69/1.15 ssItem( Z ), ! ssList( T ), ! app( T, cons( Z, nil ) ) = skol50, ! leq( Z
% 0.69/1.15 , X ) }.
% 0.69/1.15 { nil = skol51, ! nil = skol50 }.
% 0.69/1.15 { ! neq( skol46, nil ), ! segmentP( skol49, skol46 ) }.
% 0.69/1.15
% 0.69/1.15 *** allocated 15000 integers for clauses
% 0.69/1.15 percentage equality = 0.131765, percentage horn = 0.763889
% 0.69/1.15 This is a problem with some equality
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15
% 0.69/1.15 Options Used:
% 0.69/1.15
% 0.69/1.15 useres = 1
% 0.69/1.15 useparamod = 1
% 0.69/1.15 useeqrefl = 1
% 0.69/1.15 useeqfact = 1
% 0.69/1.15 usefactor = 1
% 0.69/1.15 usesimpsplitting = 0
% 0.69/1.15 usesimpdemod = 5
% 0.69/1.15 usesimpres = 3
% 0.69/1.15
% 0.69/1.15 resimpinuse = 1000
% 0.69/1.15 resimpclauses = 20000
% 0.69/1.15 substype = eqrewr
% 0.69/1.15 backwardsubs = 1
% 0.69/1.15 selectoldest = 5
% 0.69/1.15
% 0.69/1.15 litorderings [0] = split
% 0.69/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.15
% 0.69/1.15 termordering = kbo
% 0.69/1.15
% 0.69/1.15 litapriori = 0
% 0.69/1.15 termapriori = 1
% 0.69/1.15 litaposteriori = 0
% 0.69/1.15 termaposteriori = 0
% 0.69/1.15 demodaposteriori = 0
% 0.69/1.15 ordereqreflfact = 0
% 0.69/1.15
% 0.69/1.15 litselect = negord
% 0.69/1.15
% 0.69/1.15 maxweight = 15
% 0.69/1.15 maxdepth = 30000
% 0.69/1.15 maxlength = 115
% 0.69/1.15 maxnrvars = 195
% 0.69/1.15 excuselevel = 1
% 0.69/1.15 increasemaxweight = 1
% 0.69/1.15
% 0.69/1.15 maxselected = 10000000
% 0.69/1.15 maxnrclauses = 10000000
% 0.69/1.15
% 0.69/1.15 showgenerated = 0
% 0.69/1.15 showkept = 0
% 0.69/1.15 showselected = 0
% 0.69/1.15 showdeleted = 0
% 0.69/1.15 showresimp = 1
% 0.69/1.15 showstatus = 2000
% 0.69/1.15
% 0.69/1.15 prologoutput = 0
% 0.69/1.15 nrgoals = 5000000
% 0.69/1.15 totalproof = 1
% 0.69/1.15
% 0.69/1.15 Symbols occurring in the translation:
% 0.69/1.15
% 0.69/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.15 . [1, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.69/1.15 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.69/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.15 ssItem [36, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.69/1.15 neq [38, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.69/1.15 ssList [39, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.69/1.15 memberP [40, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.69/1.15 cons [43, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.69/1.15 app [44, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.69/1.15 singletonP [45, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.43/1.80 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.43/1.80 frontsegP [47, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.43/1.80 rearsegP [48, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.43/1.80 segmentP [49, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.43/1.80 cyclefreeP [50, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.43/1.80 leq [53, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.43/1.80 totalorderP [54, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.43/1.80 strictorderP [55, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.43/1.80 lt [56, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.43/1.80 totalorderedP [57, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.43/1.80 strictorderedP [58, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.43/1.80 duplicatefreeP [59, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.43/1.80 equalelemsP [60, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.43/1.80 hd [61, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.43/1.80 tl [62, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.43/1.80 geq [63, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.43/1.80 gt [64, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.43/1.80 alpha1 [68, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.43/1.80 alpha2 [69, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.43/1.80 alpha3 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.43/1.80 alpha4 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.43/1.80 alpha5 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.43/1.80 alpha6 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.43/1.80 alpha7 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.43/1.80 alpha8 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.43/1.80 alpha9 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.43/1.80 alpha10 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.43/1.80 alpha11 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.43/1.80 alpha12 [79, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.43/1.80 alpha13 [80, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.43/1.80 alpha14 [81, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.43/1.80 alpha15 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.43/1.80 alpha16 [83, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.43/1.80 alpha17 [84, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.43/1.80 alpha18 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.43/1.80 alpha19 [86, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.43/1.80 alpha20 [87, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.43/1.80 alpha21 [88, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.43/1.80 alpha22 [89, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.43/1.80 alpha23 [90, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.43/1.80 alpha24 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.43/1.80 alpha25 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.43/1.80 alpha26 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.43/1.80 alpha27 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.43/1.80 alpha28 [95, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.43/1.80 alpha29 [96, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.43/1.80 alpha30 [97, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.43/1.80 alpha31 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.43/1.80 alpha32 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.43/1.80 alpha33 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.43/1.80 alpha34 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.43/1.80 alpha35 [102, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.43/1.80 alpha36 [103, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.43/1.80 alpha37 [104, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.43/1.80 alpha38 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.43/1.80 alpha39 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.43/1.80 alpha40 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.43/1.80 alpha41 [108, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.43/1.80 alpha42 [109, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.43/1.80 alpha43 [110, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.43/1.80 skol1 [111, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.43/1.80 skol2 [112, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.43/1.80 skol3 [113, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.43/1.80 skol4 [114, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.43/1.80 skol5 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.43/1.80 skol6 [116, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.43/1.80 skol7 [117, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.43/1.80 skol8 [118, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.43/1.80 skol9 [119, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.43/1.80 skol10 [120, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.43/1.80 skol11 [121, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.43/1.80 skol12 [122, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.43/1.80 skol13 [123, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.43/1.80 skol14 [124, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.43/1.80 skol15 [125, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.43/1.80 skol16 [126, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.43/1.80 skol17 [127, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.43/1.80 skol18 [128, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.43/1.80 skol19 [129, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.43/1.80 skol20 [130, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.74/2.14 skol21 [131, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.74/2.14 skol22 [132, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.74/2.14 skol23 [133, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.74/2.14 skol24 [134, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.74/2.14 skol25 [135, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.74/2.14 skol26 [136, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.74/2.14 skol27 [137, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.74/2.14 skol28 [138, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.74/2.14 skol29 [139, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.74/2.14 skol30 [140, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.74/2.14 skol31 [141, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.74/2.14 skol32 [142, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.74/2.14 skol33 [143, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.74/2.14 skol34 [144, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.74/2.14 skol35 [145, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.74/2.14 skol36 [146, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.74/2.14 skol37 [147, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.74/2.14 skol38 [148, 5] (w:1, o:156, a:1, s:1, b:1),
% 1.74/2.14 skol39 [149, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.74/2.14 skol40 [150, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.74/2.14 skol41 [151, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.74/2.14 skol42 [152, 4] (w:1, o:143, a:1, s:1, b:1),
% 1.74/2.14 skol43 [153, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.74/2.14 skol44 [154, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.74/2.14 skol45 [155, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.74/2.14 skol46 [156, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.74/2.14 skol47 [157, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.74/2.14 skol48 [158, 1] (w:1, o:45, a:1, s:1, b:1),
% 1.74/2.14 skol49 [159, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.74/2.14 skol50 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.74/2.14 skol51 [161, 0] (w:1, o:21, a:1, s:1, b:1),
% 1.74/2.14 skol52 [162, 0] (w:1, o:22, a:1, s:1, b:1).
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Starting Search:
% 1.74/2.14
% 1.74/2.14 *** allocated 22500 integers for clauses
% 1.74/2.14 *** allocated 33750 integers for clauses
% 1.74/2.14 *** allocated 50625 integers for clauses
% 1.74/2.14 *** allocated 22500 integers for termspace/termends
% 1.74/2.14 *** allocated 75937 integers for clauses
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 33750 integers for termspace/termends
% 1.74/2.14 *** allocated 113905 integers for clauses
% 1.74/2.14 *** allocated 50625 integers for termspace/termends
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 3708
% 1.74/2.14 Kept: 2012
% 1.74/2.14 Inuse: 217
% 1.74/2.14 Deleted: 9
% 1.74/2.14 Deletedinuse: 0
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 170857 integers for clauses
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 75937 integers for termspace/termends
% 1.74/2.14 *** allocated 256285 integers for clauses
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 6992
% 1.74/2.14 Kept: 4014
% 1.74/2.14 Inuse: 357
% 1.74/2.14 Deleted: 14
% 1.74/2.14 Deletedinuse: 5
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 113905 integers for termspace/termends
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 384427 integers for clauses
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 10625
% 1.74/2.14 Kept: 6052
% 1.74/2.14 Inuse: 487
% 1.74/2.14 Deleted: 16
% 1.74/2.14 Deletedinuse: 7
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 170857 integers for termspace/termends
% 1.74/2.14 *** allocated 576640 integers for clauses
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 13981
% 1.74/2.14 Kept: 8116
% 1.74/2.14 Inuse: 587
% 1.74/2.14 Deleted: 16
% 1.74/2.14 Deletedinuse: 7
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 18706
% 1.74/2.14 Kept: 11194
% 1.74/2.14 Inuse: 672
% 1.74/2.14 Deleted: 20
% 1.74/2.14 Deletedinuse: 11
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 256285 integers for termspace/termends
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 864960 integers for clauses
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 23525
% 1.74/2.14 Kept: 13247
% 1.74/2.14 Inuse: 742
% 1.74/2.14 Deleted: 20
% 1.74/2.14 Deletedinuse: 11
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 32368
% 1.74/2.14 Kept: 15379
% 1.74/2.14 Inuse: 776
% 1.74/2.14 Deleted: 26
% 1.74/2.14 Deletedinuse: 16
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 384427 integers for termspace/termends
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 40184
% 1.74/2.14 Kept: 17424
% 1.74/2.14 Inuse: 834
% 1.74/2.14 Deleted: 60
% 1.74/2.14 Deletedinuse: 48
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 *** allocated 1297440 integers for clauses
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 49669
% 1.74/2.14 Kept: 19669
% 1.74/2.14 Inuse: 904
% 1.74/2.14 Deleted: 69
% 1.74/2.14 Deletedinuse: 52
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 Resimplifying clauses:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 59130
% 1.74/2.14 Kept: 21673
% 1.74/2.14 Inuse: 932
% 1.74/2.14 Deleted: 1916
% 1.74/2.14 Deletedinuse: 53
% 1.74/2.14
% 1.74/2.14 *** allocated 576640 integers for termspace/termends
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14 Resimplifying inuse:
% 1.74/2.14 Done
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Intermediate Status:
% 1.74/2.14 Generated: 68821
% 1.74/2.14 Kept: 23743
% 1.74/2.14 Inuse: 962
% 1.74/2.14 Deleted: 1919
% 1.74/2.14 Deletedinuse: 53
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Bliksems!, er is een bewijs:
% 1.74/2.14 % SZS status Theorem
% 1.74/2.14 % SZS output start Refutation
% 1.74/2.14
% 1.74/2.14 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 1.74/2.14 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.74/2.14 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 1.74/2.14 alpha2( X, Y, Z ) }.
% 1.74/2.14 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.74/2.14 , ! X = Y }.
% 1.74/2.14 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.74/2.14 (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==> X }.
% 1.74/2.14 (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.74/2.14 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.74/2.14 (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X ) }.
% 1.74/2.14 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.74/2.14 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.74/2.14 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.74/2.14 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.74/2.14 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 1.74/2.14 (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.74/2.14 (283) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46, skol52 ) ==>
% 1.74/2.14 skol49 }.
% 1.74/2.14 (286) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, ! skol46 ==>
% 1.74/2.14 nil }.
% 1.74/2.14 (287) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! segmentP( skol49,
% 1.74/2.14 skol46 ) }.
% 1.74/2.14 (322) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X ) }.
% 1.74/2.14 (497) {G1,W3,D2,L1,V0,M1} R(212,282) { segmentP( skol52, skol52 ) }.
% 1.74/2.14 (713) {G2,W3,D2,L1,V0,M1} R(322,161) { ! neq( nil, nil ) }.
% 1.74/2.14 (1247) {G3,W3,D2,L1,V0,M1} P(286,281);r(713) { ! skol46 ==> nil }.
% 1.74/2.14 (13960) {G4,W8,D2,L3,V1,M3} P(159,1247);r(275) { ! X = nil, ! ssList( X ),
% 1.74/2.14 neq( skol46, X ) }.
% 1.74/2.14 (14144) {G5,W3,D2,L1,V0,M1} Q(13960);r(161) { neq( skol46, nil ) }.
% 1.74/2.14 (14187) {G6,W3,D2,L1,V0,M1} R(14144,287) { ! segmentP( skol49, skol46 ) }.
% 1.74/2.14 (14201) {G7,W8,D2,L3,V1,M3} R(14187,22);r(276) { ! ssList( skol46 ), !
% 1.74/2.14 ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 1.74/2.14 (17045) {G1,W5,D3,L1,V0,M1} R(175,275) { app( nil, skol46 ) ==> skol46 }.
% 1.74/2.14 (20616) {G8,W6,D2,L2,V1,M2} S(14201);r(275) { ! ssList( X ), ! alpha2(
% 1.74/2.14 skol49, skol46, X ) }.
% 1.74/2.14 (22627) {G9,W4,D2,L1,V0,M1} R(20616,161) { ! alpha2( skol49, skol46, nil )
% 1.74/2.14 }.
% 1.74/2.14 (22631) {G10,W7,D3,L2,V1,M2} R(22627,25);d(17045) { ! ssList( X ), ! app(
% 1.74/2.14 skol46, X ) ==> skol49 }.
% 1.74/2.14 (23680) {G11,W10,D2,L4,V1,M4} P(211,283);r(22631) { ! ssList( skol52 ), !
% 1.74/2.14 ssList( X ), ! segmentP( skol52, X ), ! segmentP( X, skol52 ) }.
% 1.74/2.14 (23731) {G12,W3,D2,L1,V0,M1} F(23680);f;r(282) { ! segmentP( skol52, skol52
% 1.74/2.14 ) }.
% 1.74/2.14 (23743) {G13,W0,D0,L0,V0,M0} S(23731);r(497) { }.
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 % SZS output end Refutation
% 1.74/2.14 found a proof!
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Unprocessed initial clauses:
% 1.74/2.14
% 1.74/2.14 (23745) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.74/2.14 , ! X = Y }.
% 1.74/2.14 (23746) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23747) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.74/2.14 (23748) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.74/2.14 (23749) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.74/2.14 (23750) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.74/2.14 , Y ), ssList( skol2( Z, T ) ) }.
% 1.74/2.14 (23751) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.74/2.14 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.74/2.14 (23752) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.74/2.14 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.74/2.14 (23753) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.74/2.14 ) ) }.
% 1.74/2.14 (23754) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.74/2.14 ( X, Y, Z ) ) ) = X }.
% 1.74/2.14 (23755) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.74/2.14 , alpha1( X, Y, Z ) }.
% 1.74/2.14 (23756) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.74/2.14 skol4( Y ) ) }.
% 1.74/2.14 (23757) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.74/2.14 skol4( X ), nil ) = X }.
% 1.74/2.14 (23758) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.74/2.14 nil ) = X, singletonP( X ) }.
% 1.74/2.14 (23759) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.74/2.14 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.74/2.14 (23760) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.74/2.14 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.74/2.14 (23761) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.74/2.14 (23762) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.74/2.14 , Y ), ssList( skol6( Z, T ) ) }.
% 1.74/2.14 (23763) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.74/2.14 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.74/2.14 (23764) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.74/2.14 (23765) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.74/2.14 , Y ), ssList( skol7( Z, T ) ) }.
% 1.74/2.14 (23766) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.74/2.14 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.74/2.14 (23767) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.74/2.14 (23768) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.74/2.14 ) ) }.
% 1.74/2.14 (23769) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.74/2.14 skol8( X, Y, Z ) ) = X }.
% 1.74/2.14 (23770) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.74/2.14 , alpha2( X, Y, Z ) }.
% 1.74/2.14 (23771) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.74/2.14 Y ), alpha3( X, Y ) }.
% 1.74/2.14 (23772) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.74/2.14 cyclefreeP( X ) }.
% 1.74/2.14 (23773) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.74/2.14 cyclefreeP( X ) }.
% 1.74/2.14 (23774) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.74/2.14 , Y, Z ) }.
% 1.74/2.14 (23775) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.74/2.14 (23776) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23777) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.74/2.14 alpha28( X, Y, Z, T ) }.
% 1.74/2.14 (23778) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.74/2.14 Z ) }.
% 1.74/2.14 (23779) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.74/2.14 alpha21( X, Y, Z ) }.
% 1.74/2.14 (23780) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.74/2.14 alpha35( X, Y, Z, T, U ) }.
% 1.74/2.14 (23781) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.74/2.14 X, Y, Z, T ) }.
% 1.74/2.14 (23782) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.74/2.14 ), alpha28( X, Y, Z, T ) }.
% 1.74/2.14 (23783) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.74/2.14 alpha41( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23784) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.74/2.14 alpha35( X, Y, Z, T, U ) }.
% 1.74/2.14 (23785) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.74/2.14 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.74/2.14 (23786) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.74/2.14 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.74/2.14 (23787) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.74/2.14 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23788) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.74/2.14 W ) }.
% 1.74/2.14 (23789) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.74/2.14 X ) }.
% 1.74/2.14 (23790) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.74/2.14 (23791) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.74/2.14 (23792) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.74/2.14 ( Y ), alpha4( X, Y ) }.
% 1.74/2.14 (23793) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.74/2.14 totalorderP( X ) }.
% 1.74/2.14 (23794) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.74/2.14 totalorderP( X ) }.
% 1.74/2.14 (23795) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.74/2.14 , Y, Z ) }.
% 1.74/2.14 (23796) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.74/2.14 (23797) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23798) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.74/2.14 alpha29( X, Y, Z, T ) }.
% 1.74/2.14 (23799) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.74/2.14 Z ) }.
% 1.74/2.14 (23800) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.74/2.14 alpha22( X, Y, Z ) }.
% 1.74/2.14 (23801) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.74/2.14 alpha36( X, Y, Z, T, U ) }.
% 1.74/2.14 (23802) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.74/2.14 X, Y, Z, T ) }.
% 1.74/2.14 (23803) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.74/2.14 ), alpha29( X, Y, Z, T ) }.
% 1.74/2.14 (23804) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.74/2.14 alpha42( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23805) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.74/2.14 alpha36( X, Y, Z, T, U ) }.
% 1.74/2.14 (23806) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.74/2.14 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.74/2.14 (23807) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.74/2.14 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.74/2.14 (23808) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.74/2.14 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23809) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.74/2.14 W ) }.
% 1.74/2.14 (23810) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.74/2.14 }.
% 1.74/2.14 (23811) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.74/2.14 (23812) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.74/2.14 (23813) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.74/2.14 ( Y ), alpha5( X, Y ) }.
% 1.74/2.14 (23814) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.74/2.14 strictorderP( X ) }.
% 1.74/2.14 (23815) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.74/2.14 strictorderP( X ) }.
% 1.74/2.14 (23816) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.74/2.14 , Y, Z ) }.
% 1.74/2.14 (23817) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.74/2.14 (23818) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23819) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.74/2.14 alpha30( X, Y, Z, T ) }.
% 1.74/2.14 (23820) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.74/2.14 Z ) }.
% 1.74/2.14 (23821) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.74/2.14 alpha23( X, Y, Z ) }.
% 1.74/2.14 (23822) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.74/2.14 alpha37( X, Y, Z, T, U ) }.
% 1.74/2.14 (23823) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.74/2.14 X, Y, Z, T ) }.
% 1.74/2.14 (23824) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.74/2.14 ), alpha30( X, Y, Z, T ) }.
% 1.74/2.14 (23825) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.74/2.14 alpha43( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23826) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.74/2.14 alpha37( X, Y, Z, T, U ) }.
% 1.74/2.14 (23827) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.74/2.14 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.74/2.14 (23828) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.74/2.14 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.74/2.14 (23829) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.74/2.14 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23830) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.74/2.14 W ) }.
% 1.74/2.14 (23831) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.74/2.14 }.
% 1.74/2.14 (23832) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.74/2.14 (23833) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.74/2.14 (23834) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.74/2.14 ssItem( Y ), alpha6( X, Y ) }.
% 1.74/2.14 (23835) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.74/2.14 totalorderedP( X ) }.
% 1.74/2.14 (23836) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.74/2.14 totalorderedP( X ) }.
% 1.74/2.14 (23837) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.74/2.14 , Y, Z ) }.
% 1.74/2.14 (23838) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.74/2.14 (23839) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23840) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.74/2.14 alpha24( X, Y, Z, T ) }.
% 1.74/2.14 (23841) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.74/2.14 Z ) }.
% 1.74/2.14 (23842) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.74/2.14 alpha15( X, Y, Z ) }.
% 1.74/2.14 (23843) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.74/2.14 alpha31( X, Y, Z, T, U ) }.
% 1.74/2.14 (23844) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.74/2.14 X, Y, Z, T ) }.
% 1.74/2.14 (23845) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.74/2.14 ), alpha24( X, Y, Z, T ) }.
% 1.74/2.14 (23846) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.74/2.14 alpha38( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23847) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.74/2.14 alpha31( X, Y, Z, T, U ) }.
% 1.74/2.14 (23848) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.74/2.14 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.74/2.14 (23849) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.74/2.14 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.74/2.14 (23850) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.74/2.14 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23851) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.74/2.14 }.
% 1.74/2.14 (23852) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.74/2.14 ssItem( Y ), alpha7( X, Y ) }.
% 1.74/2.14 (23853) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.74/2.14 strictorderedP( X ) }.
% 1.74/2.14 (23854) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.74/2.14 strictorderedP( X ) }.
% 1.74/2.14 (23855) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.74/2.14 , Y, Z ) }.
% 1.74/2.14 (23856) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.74/2.14 (23857) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23858) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.74/2.14 alpha25( X, Y, Z, T ) }.
% 1.74/2.14 (23859) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.74/2.14 Z ) }.
% 1.74/2.14 (23860) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.74/2.14 alpha16( X, Y, Z ) }.
% 1.74/2.14 (23861) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.74/2.14 alpha32( X, Y, Z, T, U ) }.
% 1.74/2.14 (23862) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.74/2.14 X, Y, Z, T ) }.
% 1.74/2.14 (23863) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.74/2.14 ), alpha25( X, Y, Z, T ) }.
% 1.74/2.14 (23864) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.74/2.14 alpha39( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23865) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.74/2.14 alpha32( X, Y, Z, T, U ) }.
% 1.74/2.14 (23866) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.74/2.14 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.74/2.14 (23867) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.74/2.14 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.74/2.14 (23868) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.74/2.14 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23869) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.74/2.14 }.
% 1.74/2.14 (23870) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.74/2.14 ssItem( Y ), alpha8( X, Y ) }.
% 1.74/2.14 (23871) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.74/2.14 duplicatefreeP( X ) }.
% 1.74/2.14 (23872) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.74/2.14 duplicatefreeP( X ) }.
% 1.74/2.14 (23873) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.74/2.14 , Y, Z ) }.
% 1.74/2.14 (23874) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.74/2.14 (23875) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23876) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.74/2.14 alpha26( X, Y, Z, T ) }.
% 1.74/2.14 (23877) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.74/2.14 Z ) }.
% 1.74/2.14 (23878) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.74/2.14 alpha17( X, Y, Z ) }.
% 1.74/2.14 (23879) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.74/2.14 alpha33( X, Y, Z, T, U ) }.
% 1.74/2.14 (23880) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.74/2.14 X, Y, Z, T ) }.
% 1.74/2.14 (23881) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.74/2.14 ), alpha26( X, Y, Z, T ) }.
% 1.74/2.14 (23882) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.74/2.14 alpha40( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23883) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.74/2.14 alpha33( X, Y, Z, T, U ) }.
% 1.74/2.14 (23884) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.74/2.14 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.74/2.14 (23885) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.74/2.14 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.74/2.14 (23886) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.74/2.14 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23887) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.74/2.14 (23888) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.74/2.14 ( Y ), alpha9( X, Y ) }.
% 1.74/2.14 (23889) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.74/2.14 equalelemsP( X ) }.
% 1.74/2.14 (23890) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.74/2.14 equalelemsP( X ) }.
% 1.74/2.14 (23891) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.74/2.14 , Y, Z ) }.
% 1.74/2.14 (23892) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.74/2.14 (23893) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23894) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.74/2.14 alpha27( X, Y, Z, T ) }.
% 1.74/2.14 (23895) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.74/2.14 Z ) }.
% 1.74/2.14 (23896) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.74/2.14 alpha18( X, Y, Z ) }.
% 1.74/2.14 (23897) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.74/2.14 alpha34( X, Y, Z, T, U ) }.
% 1.74/2.14 (23898) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.74/2.14 X, Y, Z, T ) }.
% 1.74/2.14 (23899) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.74/2.14 ), alpha27( X, Y, Z, T ) }.
% 1.74/2.14 (23900) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.74/2.14 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.74/2.14 (23901) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.74/2.14 alpha34( X, Y, Z, T, U ) }.
% 1.74/2.14 (23902) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.74/2.14 (23903) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.74/2.14 , ! X = Y }.
% 1.74/2.14 (23904) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.74/2.14 , Y ) }.
% 1.74/2.14 (23905) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.74/2.14 Y, X ) ) }.
% 1.74/2.14 (23906) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.74/2.14 (23907) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.74/2.14 = X }.
% 1.74/2.14 (23908) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.74/2.14 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.74/2.14 (23909) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.74/2.14 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.74/2.14 (23910) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.74/2.14 ) }.
% 1.74/2.14 (23911) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.74/2.14 ) }.
% 1.74/2.14 (23912) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.74/2.14 skol43( X ) ) = X }.
% 1.74/2.14 (23913) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.74/2.14 Y, X ) }.
% 1.74/2.14 (23914) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.74/2.14 }.
% 1.74/2.14 (23915) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.74/2.14 X ) ) = Y }.
% 1.74/2.14 (23916) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.74/2.14 }.
% 1.74/2.14 (23917) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.74/2.14 X ) ) = X }.
% 1.74/2.14 (23918) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.74/2.14 , Y ) ) }.
% 1.74/2.14 (23919) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.74/2.14 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.74/2.14 (23920) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.74/2.14 (23921) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.74/2.14 , ! leq( Y, X ), X = Y }.
% 1.74/2.14 (23922) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.74/2.14 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.74/2.14 (23923) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.74/2.14 (23924) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.74/2.14 , leq( Y, X ) }.
% 1.74/2.14 (23925) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.74/2.14 , geq( X, Y ) }.
% 1.74/2.14 (23926) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.74/2.14 , ! lt( Y, X ) }.
% 1.74/2.14 (23927) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.74/2.14 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.74/2.14 (23928) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.74/2.14 , lt( Y, X ) }.
% 1.74/2.14 (23929) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.74/2.14 , gt( X, Y ) }.
% 1.74/2.14 (23930) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.74/2.14 (23931) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.74/2.14 (23932) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.74/2.14 (23933) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.74/2.14 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.74/2.14 (23934) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.74/2.14 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.74/2.14 (23935) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.74/2.14 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.74/2.14 (23936) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.74/2.14 (23937) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.74/2.14 (23938) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.74/2.14 (23939) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.74/2.14 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.74/2.14 (23940) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.74/2.14 (23941) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.74/2.14 (23942) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.74/2.14 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.74/2.14 (23943) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.74/2.14 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.74/2.14 , T ) }.
% 1.74/2.14 (23944) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.74/2.14 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.74/2.14 cons( Y, T ) ) }.
% 1.74/2.14 (23945) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.74/2.14 (23946) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.74/2.14 X }.
% 1.74/2.14 (23947) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.74/2.14 ) }.
% 1.74/2.14 (23948) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.74/2.14 (23949) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.74/2.14 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.74/2.14 (23950) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.74/2.14 (23951) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.74/2.14 (23952) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.74/2.14 (23953) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.74/2.14 }.
% 1.74/2.14 (23954) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.74/2.14 }.
% 1.74/2.14 (23955) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.74/2.14 (23956) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.74/2.14 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.74/2.14 (23957) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.74/2.14 (23958) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.74/2.14 }.
% 1.74/2.14 (23959) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.74/2.14 (23960) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.74/2.14 }.
% 1.74/2.14 (23961) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.74/2.14 }.
% 1.74/2.14 (23962) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.74/2.14 }.
% 1.74/2.14 (23963) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.74/2.14 (23964) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.74/2.14 }.
% 1.74/2.14 (23965) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.74/2.14 (23966) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.74/2.14 ) }.
% 1.74/2.14 (23967) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.74/2.14 (23968) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.74/2.14 ) }.
% 1.74/2.14 (23969) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.74/2.14 (23970) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.74/2.14 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.74/2.14 (23971) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.74/2.14 totalorderedP( cons( X, Y ) ) }.
% 1.74/2.14 (23972) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.74/2.14 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.74/2.14 (23973) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.74/2.14 (23974) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.74/2.14 (23975) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.74/2.14 }.
% 1.74/2.14 (23976) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.74/2.14 (23977) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.74/2.14 (23978) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.74/2.14 alpha19( X, Y ) }.
% 1.74/2.14 (23979) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.74/2.14 ) ) }.
% 1.74/2.14 (23980) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.74/2.14 (23981) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.74/2.14 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.74/2.14 (23982) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.74/2.14 strictorderedP( cons( X, Y ) ) }.
% 1.74/2.14 (23983) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.74/2.14 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.74/2.14 (23984) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.74/2.14 (23985) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.74/2.14 (23986) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.74/2.14 }.
% 1.74/2.14 (23987) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.74/2.14 (23988) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.74/2.14 (23989) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.74/2.14 alpha20( X, Y ) }.
% 1.74/2.14 (23990) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.74/2.14 ) ) }.
% 1.74/2.14 (23991) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.74/2.14 (23992) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.74/2.14 }.
% 1.74/2.14 (23993) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.74/2.14 (23994) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.74/2.14 ) }.
% 1.74/2.14 (23995) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.74/2.14 ) }.
% 1.74/2.14 (23996) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.74/2.14 ) }.
% 1.74/2.14 (23997) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.74/2.14 ) }.
% 1.74/2.14 (23998) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.74/2.14 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.74/2.14 (23999) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.74/2.14 X ) ) = X }.
% 1.74/2.14 (24000) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.74/2.14 (24001) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.74/2.14 (24002) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.74/2.14 = app( cons( Y, nil ), X ) }.
% 1.74/2.14 (24003) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.74/2.14 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.74/2.14 (24004) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.74/2.14 X, Y ), nil = Y }.
% 1.74/2.14 (24005) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.74/2.14 X, Y ), nil = X }.
% 1.74/2.14 (24006) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.74/2.14 nil = X, nil = app( X, Y ) }.
% 1.74/2.14 (24007) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.74/2.14 (24008) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.74/2.14 app( X, Y ) ) = hd( X ) }.
% 1.74/2.14 (24009) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.74/2.14 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.74/2.14 (24010) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.74/2.14 , ! geq( Y, X ), X = Y }.
% 1.74/2.14 (24011) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.74/2.14 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.74/2.14 (24012) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.74/2.14 (24013) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.74/2.14 (24014) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.74/2.14 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.74/2.14 (24015) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.74/2.14 , X = Y, lt( X, Y ) }.
% 1.74/2.14 (24016) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.74/2.14 , ! X = Y }.
% 1.74/2.14 (24017) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.74/2.14 , leq( X, Y ) }.
% 1.74/2.14 (24018) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.74/2.14 ( X, Y ), lt( X, Y ) }.
% 1.74/2.14 (24019) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.74/2.14 , ! gt( Y, X ) }.
% 1.74/2.14 (24020) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.74/2.14 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.74/2.14 (24021) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.74/2.14 (24022) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.74/2.14 (24023) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.74/2.14 (24024) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.74/2.14 (24025) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.74/2.14 (24026) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.74/2.14 (24027) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 1.74/2.14 (24028) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.74/2.14 (24029) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) = skol51 }.
% 1.74/2.14 (24030) {G0,W2,D2,L1,V0,M1} { totalorderedP( skol50 ) }.
% 1.74/2.14 (24031) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 1.74/2.14 X, nil ), Y ) = skol52, ! ssItem( Z ), ! ssList( T ), ! app( T, cons( Z,
% 1.74/2.14 nil ) ) = skol50, ! leq( Z, X ) }.
% 1.74/2.14 (24032) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 1.74/2.14 (24033) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! segmentP( skol49,
% 1.74/2.14 skol46 ) }.
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Total Proof:
% 1.74/2.14
% 1.74/2.14 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.74/2.14 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.74/2.14 parent0: (23767) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.74/2.14 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 Y := Y
% 1.74/2.14 Z := Z
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 1 ==> 1
% 1.74/2.14 2 ==> 2
% 1.74/2.14 3 ==> 3
% 1.74/2.14 4 ==> 4
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 1.74/2.14 ), T ) = X, alpha2( X, Y, Z ) }.
% 1.74/2.14 parent0: (23770) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 1.74/2.14 , T ) = X, alpha2( X, Y, Z ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 Y := Y
% 1.74/2.14 Z := Z
% 1.74/2.14 T := T
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 1 ==> 1
% 1.74/2.14 2 ==> 2
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 1.74/2.14 neq( X, Y ), ! X = Y }.
% 1.74/2.14 parent0: (23903) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 1.74/2.14 neq( X, Y ), ! X = Y }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 Y := Y
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 1 ==> 1
% 1.74/2.14 2 ==> 2
% 1.74/2.14 3 ==> 3
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 1.74/2.14 = Y, neq( X, Y ) }.
% 1.74/2.14 parent0: (23904) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 1.74/2.14 Y, neq( X, Y ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 Y := Y
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 1 ==> 1
% 1.74/2.14 2 ==> 2
% 1.74/2.14 3 ==> 3
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.74/2.14 parent0: (23906) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==>
% 1.74/2.14 X }.
% 1.74/2.14 parent0: (23920) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X
% 1.74/2.14 }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 1 ==> 1
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.74/2.14 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 1.74/2.14 parent0: (23956) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.74/2.14 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 Y := Y
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 1 ==> 1
% 1.74/2.14 2 ==> 2
% 1.74/2.14 3 ==> 3
% 1.74/2.14 4 ==> 4
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 1.74/2.14 }.
% 1.74/2.14 parent0: (23957) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.74/2.16 substitution0:
% 1.74/2.16 X := X
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 1 ==> 1
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.74/2.16 parent0: (24021) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.74/2.16 parent0: (24022) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 eqswap: (25828) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.74/2.16 parent0[0]: (24025) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.74/2.16 parent0: (25828) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 eqswap: (26176) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.74/2.16 parent0[0]: (24026) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.74/2.16 parent0: (26176) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 1.74/2.16 parent0: (24027) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.74/2.16 parent0: (24028) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 paramod: (27802) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol51 }.
% 1.74/2.16 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.74/2.16 parent1[0; 2]: (24029) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) =
% 1.74/2.16 skol51 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 substitution1:
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 paramod: (27803) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol49 }.
% 1.74/2.16 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.74/2.16 parent1[0; 4]: (27802) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) =
% 1.74/2.16 skol51 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 substitution1:
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (283) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46,
% 1.74/2.16 skol52 ) ==> skol49 }.
% 1.74/2.16 parent0: (27803) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol49 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 paramod: (28764) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50 }.
% 1.74/2.16 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.74/2.16 parent1[0; 2]: (24032) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50
% 1.74/2.16 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 substitution1:
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 paramod: (28765) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 1.74/2.16 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.74/2.16 parent1[1; 3]: (28764) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50
% 1.74/2.16 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 substitution1:
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 eqswap: (28767) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 1.74/2.16 parent0[1]: (28765) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 eqswap: (28768) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 1.74/2.16 parent0[1]: (28767) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (286) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 1.74/2.16 skol46 ==> nil }.
% 1.74/2.16 parent0: (28768) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 1
% 1.74/2.16 1 ==> 0
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 subsumption: (287) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! segmentP
% 1.74/2.16 ( skol49, skol46 ) }.
% 1.74/2.16 parent0: (24033) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! segmentP(
% 1.74/2.16 skol49, skol46 ) }.
% 1.74/2.16 substitution0:
% 1.74/2.16 end
% 1.74/2.16 permutation0:
% 1.74/2.16 0 ==> 0
% 1.74/2.16 1 ==> 1
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 eqswap: (29136) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 1.74/2.16 ), ! neq( X, Y ) }.
% 1.74/2.16 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 1.74/2.16 neq( X, Y ), ! X = Y }.
% 1.74/2.16 substitution0:
% 1.74/2.16 X := X
% 1.74/2.16 Y := Y
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 factor: (29137) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X, X
% 1.74/2.16 ) }.
% 1.74/2.16 parent0[1, 2]: (29136) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 1.74/2.16 ssList( Y ), ! neq( X, Y ) }.
% 1.74/2.16 substitution0:
% 1.74/2.16 X := X
% 1.74/2.16 Y := X
% 1.74/2.16 end
% 1.74/2.16
% 1.74/2.16 eqrefl: (29138) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 1.74/2.16 parent0[0]: (29137) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------