TSTP Solution File: SWC092+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC092+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 19:33:43 EDT 2022
% Result : Theorem 4.68s 5.05s
% Output : Refutation 4.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC092+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jun 12 21:23:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.77/1.16 *** allocated 10000 integers for termspace/termends
% 0.77/1.16 *** allocated 10000 integers for clauses
% 0.77/1.16 *** allocated 10000 integers for justifications
% 0.77/1.16 Bliksem 1.12
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Automatic Strategy Selection
% 0.77/1.16
% 0.77/1.16 *** allocated 15000 integers for termspace/termends
% 0.77/1.16
% 0.77/1.16 Clauses:
% 0.77/1.16
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.77/1.16 { ssItem( skol1 ) }.
% 0.77/1.16 { ssItem( skol47 ) }.
% 0.77/1.16 { ! skol1 = skol47 }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.77/1.16 }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.77/1.16 Y ) ) }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.77/1.16 ( X, Y ) }.
% 0.77/1.16 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.77/1.16 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.77/1.16 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.77/1.16 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.77/1.16 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.77/1.16 ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.77/1.16 ) = X }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.77/1.16 ( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.77/1.16 }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.77/1.16 = X }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.77/1.16 ( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.77/1.16 }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.77/1.16 , Y ) ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.77/1.16 segmentP( X, Y ) }.
% 0.77/1.16 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.77/1.16 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.77/1.16 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.77/1.16 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.77/1.16 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.77/1.16 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.77/1.16 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.77/1.16 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.77/1.16 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.77/1.16 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.77/1.16 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.77/1.16 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.77/1.16 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.77/1.16 .
% 0.77/1.16 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.77/1.16 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.77/1.16 , U ) }.
% 0.77/1.16 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.16 ) ) = X, alpha12( Y, Z ) }.
% 0.77/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.77/1.16 W ) }.
% 0.77/1.16 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.77/1.16 { leq( X, Y ), alpha12( X, Y ) }.
% 0.77/1.16 { leq( Y, X ), alpha12( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.77/1.16 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.77/1.16 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.77/1.16 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.77/1.16 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.77/1.16 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.77/1.16 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.77/1.16 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.77/1.16 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.77/1.16 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.77/1.16 .
% 0.77/1.16 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.77/1.16 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.77/1.16 , U ) }.
% 0.77/1.16 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.16 ) ) = X, alpha13( Y, Z ) }.
% 0.77/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.77/1.16 W ) }.
% 0.77/1.16 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.77/1.16 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.77/1.16 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.77/1.16 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.77/1.16 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.77/1.16 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.77/1.16 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.77/1.16 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.77/1.16 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.77/1.16 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.77/1.16 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.77/1.16 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.77/1.16 .
% 0.77/1.16 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.77/1.16 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.77/1.16 , U ) }.
% 0.77/1.16 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.16 ) ) = X, alpha14( Y, Z ) }.
% 0.77/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.77/1.16 W ) }.
% 0.77/1.16 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.77/1.16 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.77/1.16 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.77/1.16 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.77/1.16 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.77/1.16 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.77/1.16 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.77/1.16 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.77/1.16 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.77/1.16 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.77/1.16 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.77/1.16 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.77/1.16 .
% 0.77/1.16 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.77/1.16 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.77/1.16 , U ) }.
% 0.77/1.16 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.16 ) ) = X, leq( Y, Z ) }.
% 0.77/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.77/1.16 W ) }.
% 0.77/1.16 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.77/1.16 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.77/1.16 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.77/1.16 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.77/1.16 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.77/1.16 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.77/1.16 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.77/1.16 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.77/1.16 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.77/1.16 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.77/1.16 .
% 0.77/1.16 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.77/1.16 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.77/1.16 , U ) }.
% 0.77/1.16 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.16 ) ) = X, lt( Y, Z ) }.
% 0.77/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.77/1.16 W ) }.
% 0.77/1.16 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.77/1.16 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.77/1.16 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.77/1.16 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.77/1.16 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.77/1.16 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.77/1.16 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.77/1.16 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.77/1.16 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.77/1.16 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.77/1.16 .
% 0.77/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.77/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.77/1.16 , U ) }.
% 0.77/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.16 ) ) = X, ! Y = Z }.
% 0.77/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.77/1.16 W ) }.
% 0.77/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.77/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.77/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.77/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.77/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.77/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.77/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.77/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.77/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.77/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.77/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.77/1.16 Z }.
% 0.77/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.77/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.77/1.16 { ssList( nil ) }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.77/1.16 ) = cons( T, Y ), Z = T }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.77/1.16 ) = cons( T, Y ), Y = X }.
% 0.77/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.77/1.16 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.77/1.16 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.77/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.77/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.77/1.16 ( cons( Z, Y ), X ) }.
% 0.77/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.77/1.16 , leq( X, Z ) }.
% 0.77/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.77/1.16 lt( X, Z ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.77/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.77/1.16 app( Y, Z ), X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.77/1.16 app( Y, Z ), X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.77/1.16 , X = Y, memberP( Z, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.77/1.16 ), X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.77/1.16 cons( Y, Z ), X ) }.
% 0.77/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.77/1.16 { ! singletonP( nil ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.77/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.77/1.16 = Y }.
% 0.77/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.77/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.77/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.77/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.77/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.77/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.77/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.77/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.77/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.77/1.16 Y }.
% 0.77/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.77/1.16 ( app( Z, X ), Y ) }.
% 0.77/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.77/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.77/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.77/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.77/1.16 Y }.
% 0.77/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.77/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.77/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.77/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.77/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.77/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.77/1.16 { cyclefreeP( nil ) }.
% 0.77/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.77/1.16 { totalorderP( nil ) }.
% 0.77/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.77/1.16 { strictorderP( nil ) }.
% 0.77/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.77/1.16 { totalorderedP( nil ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.77/1.16 alpha10( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.77/1.16 .
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.77/1.16 Y ) ) }.
% 0.77/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.77/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.77/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.77/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.77/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.77/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.77/1.16 { strictorderedP( nil ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.77/1.16 alpha11( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.77/1.16 .
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.77/1.16 , Y ) ) }.
% 0.77/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.77/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.77/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.77/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.77/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.77/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.77/1.16 { duplicatefreeP( nil ) }.
% 0.77/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.77/1.16 { equalelemsP( nil ) }.
% 0.77/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.77/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.77/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.77/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.77/1.16 ( Y ) = tl( X ), Y = X }.
% 0.77/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.77/1.16 , Z = X }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.77/1.16 , Z = X }.
% 0.77/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.77/1.16 ( X, app( Y, Z ) ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.77/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.77/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.77/1.16 Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.77/1.16 , geq( X, Z ) }.
% 0.77/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.77/1.16 , lt( X, Z ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.77/1.16 gt( X, Z ) }.
% 0.77/1.16 { ssList( skol46 ) }.
% 0.77/1.16 { ssList( skol49 ) }.
% 0.77/1.16 { ssList( skol50 ) }.
% 0.77/1.16 { ssList( skol51 ) }.
% 0.77/1.16 { skol49 = skol51 }.
% 0.77/1.16 { skol46 = skol50 }.
% 0.77/1.16 { neq( skol49, nil ) }.
% 0.77/1.16 { ! ssList( X ), ! neq( X, nil ), ! segmentP( skol49, X ), ! segmentP(
% 0.77/1.16 skol46, X ) }.
% 0.77/1.16 { ssList( skol52 ) }.
% 0.77/1.16 { app( skol50, skol52 ) = skol51 }.
% 0.77/1.16 { strictorderedP( skol50 ) }.
% 0.77/1.16 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol52, !
% 0.77/1.16 ssItem( Z ), ! ssList( T ), ! app( T, cons( Z, nil ) ) = skol50, ! lt( Z
% 0.77/1.16 , X ) }.
% 0.77/1.16 { nil = skol51, ! nil = skol50 }.
% 0.77/1.16
% 0.77/1.16 *** allocated 15000 integers for clauses
% 0.77/1.16 percentage equality = 0.131455, percentage horn = 0.763889
% 0.77/1.16 This is a problem with some equality
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Options Used:
% 0.77/1.16
% 0.77/1.16 useres = 1
% 0.77/1.16 useparamod = 1
% 0.77/1.16 useeqrefl = 1
% 0.77/1.16 useeqfact = 1
% 0.77/1.16 usefactor = 1
% 0.77/1.16 usesimpsplitting = 0
% 0.77/1.16 usesimpdemod = 5
% 0.77/1.16 usesimpres = 3
% 0.77/1.16
% 0.77/1.16 resimpinuse = 1000
% 0.77/1.16 resimpclauses = 20000
% 0.77/1.16 substype = eqrewr
% 0.77/1.16 backwardsubs = 1
% 0.77/1.16 selectoldest = 5
% 0.77/1.16
% 0.77/1.16 litorderings [0] = split
% 0.77/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.16
% 0.77/1.16 termordering = kbo
% 0.77/1.16
% 0.77/1.16 litapriori = 0
% 0.77/1.16 termapriori = 1
% 0.77/1.16 litaposteriori = 0
% 0.77/1.16 termaposteriori = 0
% 0.77/1.16 demodaposteriori = 0
% 0.77/1.16 ordereqreflfact = 0
% 0.77/1.16
% 0.77/1.16 litselect = negord
% 0.77/1.16
% 0.77/1.16 maxweight = 15
% 0.77/1.16 maxdepth = 30000
% 0.77/1.16 maxlength = 115
% 0.77/1.16 maxnrvars = 195
% 0.77/1.16 excuselevel = 1
% 0.77/1.16 increasemaxweight = 1
% 0.77/1.16
% 0.77/1.16 maxselected = 10000000
% 0.77/1.16 maxnrclauses = 10000000
% 0.77/1.16
% 0.77/1.16 showgenerated = 0
% 0.77/1.16 showkept = 0
% 0.77/1.16 showselected = 0
% 0.77/1.16 showdeleted = 0
% 0.77/1.16 showresimp = 1
% 0.77/1.16 showstatus = 2000
% 0.77/1.16
% 0.77/1.16 prologoutput = 0
% 0.77/1.16 nrgoals = 5000000
% 0.77/1.16 totalproof = 1
% 0.77/1.16
% 0.77/1.16 Symbols occurring in the translation:
% 0.77/1.16
% 0.77/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.16 . [1, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.77/1.16 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.77/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.16 ssItem [36, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.77/1.16 neq [38, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.77/1.16 ssList [39, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.77/1.16 memberP [40, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.77/1.16 cons [43, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.77/1.16 app [44, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.77/1.16 singletonP [45, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.40/1.76 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.40/1.76 frontsegP [47, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.40/1.76 rearsegP [48, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.40/1.76 segmentP [49, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.40/1.76 cyclefreeP [50, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.40/1.76 leq [53, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.40/1.76 totalorderP [54, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.40/1.76 strictorderP [55, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.40/1.76 lt [56, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.40/1.76 totalorderedP [57, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.40/1.76 strictorderedP [58, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.40/1.76 duplicatefreeP [59, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.40/1.76 equalelemsP [60, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.40/1.76 hd [61, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.40/1.76 tl [62, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.40/1.76 geq [63, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.40/1.76 gt [64, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.40/1.76 alpha1 [69, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.40/1.76 alpha2 [70, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.40/1.76 alpha3 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.40/1.76 alpha4 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.40/1.76 alpha5 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.40/1.76 alpha6 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.40/1.76 alpha7 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.40/1.76 alpha8 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.40/1.76 alpha9 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.40/1.76 alpha10 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.40/1.76 alpha11 [79, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.40/1.76 alpha12 [80, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.40/1.76 alpha13 [81, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.40/1.76 alpha14 [82, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.40/1.76 alpha15 [83, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.40/1.76 alpha16 [84, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.40/1.76 alpha17 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.40/1.76 alpha18 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.40/1.76 alpha19 [87, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.40/1.76 alpha20 [88, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.40/1.76 alpha21 [89, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.40/1.76 alpha22 [90, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.40/1.76 alpha23 [91, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.40/1.76 alpha24 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.40/1.76 alpha25 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.40/1.76 alpha26 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.40/1.76 alpha27 [95, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.40/1.76 alpha28 [96, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.40/1.76 alpha29 [97, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.40/1.76 alpha30 [98, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.40/1.76 alpha31 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.40/1.76 alpha32 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.40/1.76 alpha33 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.40/1.76 alpha34 [102, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.40/1.76 alpha35 [103, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.40/1.76 alpha36 [104, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.40/1.76 alpha37 [105, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.40/1.76 alpha38 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.40/1.76 alpha39 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.40/1.76 alpha40 [108, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.40/1.76 alpha41 [109, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.40/1.76 alpha42 [110, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.40/1.76 alpha43 [111, 6] (w:1, o:163, a:1, s:1, b:1),
% 1.40/1.76 skol1 [112, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.40/1.76 skol2 [113, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.40/1.76 skol3 [114, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.40/1.76 skol4 [115, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.40/1.76 skol5 [116, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.40/1.76 skol6 [117, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.40/1.76 skol7 [118, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.40/1.76 skol8 [119, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.40/1.76 skol9 [120, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.40/1.76 skol10 [121, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.40/1.76 skol11 [122, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.40/1.76 skol12 [123, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.40/1.76 skol13 [124, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.40/1.76 skol14 [125, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.40/1.76 skol15 [126, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.40/1.76 skol16 [127, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.40/1.76 skol17 [128, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.40/1.76 skol18 [129, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.40/1.76 skol19 [130, 1] (w:1, o:40, a:1, s:1, b:1),
% 4.68/5.05 skol20 [131, 2] (w:1, o:109, a:1, s:1, b:1),
% 4.68/5.05 skol21 [132, 3] (w:1, o:122, a:1, s:1, b:1),
% 4.68/5.05 skol22 [133, 4] (w:1, o:140, a:1, s:1, b:1),
% 4.68/5.05 skol23 [134, 5] (w:1, o:154, a:1, s:1, b:1),
% 4.68/5.05 skol24 [135, 1] (w:1, o:41, a:1, s:1, b:1),
% 4.68/5.05 skol25 [136, 2] (w:1, o:110, a:1, s:1, b:1),
% 4.68/5.05 skol26 [137, 3] (w:1, o:123, a:1, s:1, b:1),
% 4.68/5.05 skol27 [138, 4] (w:1, o:141, a:1, s:1, b:1),
% 4.68/5.05 skol28 [139, 5] (w:1, o:155, a:1, s:1, b:1),
% 4.68/5.05 skol29 [140, 1] (w:1, o:42, a:1, s:1, b:1),
% 4.68/5.05 skol30 [141, 2] (w:1, o:111, a:1, s:1, b:1),
% 4.68/5.05 skol31 [142, 3] (w:1, o:128, a:1, s:1, b:1),
% 4.68/5.05 skol32 [143, 4] (w:1, o:142, a:1, s:1, b:1),
% 4.68/5.05 skol33 [144, 5] (w:1, o:156, a:1, s:1, b:1),
% 4.68/5.05 skol34 [145, 1] (w:1, o:35, a:1, s:1, b:1),
% 4.68/5.05 skol35 [146, 2] (w:1, o:112, a:1, s:1, b:1),
% 4.68/5.05 skol36 [147, 3] (w:1, o:129, a:1, s:1, b:1),
% 4.68/5.05 skol37 [148, 4] (w:1, o:143, a:1, s:1, b:1),
% 4.68/5.05 skol38 [149, 5] (w:1, o:157, a:1, s:1, b:1),
% 4.68/5.05 skol39 [150, 1] (w:1, o:36, a:1, s:1, b:1),
% 4.68/5.05 skol40 [151, 2] (w:1, o:105, a:1, s:1, b:1),
% 4.68/5.05 skol41 [152, 3] (w:1, o:130, a:1, s:1, b:1),
% 4.68/5.05 skol42 [153, 4] (w:1, o:144, a:1, s:1, b:1),
% 4.68/5.05 skol43 [154, 1] (w:1, o:43, a:1, s:1, b:1),
% 4.68/5.05 skol44 [155, 1] (w:1, o:44, a:1, s:1, b:1),
% 4.68/5.05 skol45 [156, 1] (w:1, o:45, a:1, s:1, b:1),
% 4.68/5.05 skol46 [157, 0] (w:1, o:18, a:1, s:1, b:1),
% 4.68/5.05 skol47 [158, 0] (w:1, o:19, a:1, s:1, b:1),
% 4.68/5.05 skol48 [159, 1] (w:1, o:46, a:1, s:1, b:1),
% 4.68/5.05 skol49 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 4.68/5.05 skol50 [161, 0] (w:1, o:21, a:1, s:1, b:1),
% 4.68/5.05 skol51 [162, 0] (w:1, o:22, a:1, s:1, b:1),
% 4.68/5.05 skol52 [163, 0] (w:1, o:23, a:1, s:1, b:1).
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Starting Search:
% 4.68/5.05
% 4.68/5.05 *** allocated 22500 integers for clauses
% 4.68/5.05 *** allocated 33750 integers for clauses
% 4.68/5.05 *** allocated 50625 integers for clauses
% 4.68/5.05 *** allocated 22500 integers for termspace/termends
% 4.68/5.05 *** allocated 75937 integers for clauses
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 33750 integers for termspace/termends
% 4.68/5.05 *** allocated 113905 integers for clauses
% 4.68/5.05 *** allocated 50625 integers for termspace/termends
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 3699
% 4.68/5.05 Kept: 2002
% 4.68/5.05 Inuse: 217
% 4.68/5.05 Deleted: 9
% 4.68/5.05 Deletedinuse: 0
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 170857 integers for clauses
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 75937 integers for termspace/termends
% 4.68/5.05 *** allocated 256285 integers for clauses
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 6984
% 4.68/5.05 Kept: 4006
% 4.68/5.05 Inuse: 358
% 4.68/5.05 Deleted: 14
% 4.68/5.05 Deletedinuse: 5
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 113905 integers for termspace/termends
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 384427 integers for clauses
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 10190
% 4.68/5.05 Kept: 6019
% 4.68/5.05 Inuse: 482
% 4.68/5.05 Deleted: 16
% 4.68/5.05 Deletedinuse: 7
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 170857 integers for termspace/termends
% 4.68/5.05 *** allocated 576640 integers for clauses
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 13853
% 4.68/5.05 Kept: 8095
% 4.68/5.05 Inuse: 592
% 4.68/5.05 Deleted: 22
% 4.68/5.05 Deletedinuse: 13
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 18318
% 4.68/5.05 Kept: 10964
% 4.68/5.05 Inuse: 672
% 4.68/5.05 Deleted: 22
% 4.68/5.05 Deletedinuse: 13
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 256285 integers for termspace/termends
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 864960 integers for clauses
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 23117
% 4.68/5.05 Kept: 13006
% 4.68/5.05 Inuse: 742
% 4.68/5.05 Deleted: 28
% 4.68/5.05 Deletedinuse: 19
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 31891
% 4.68/5.05 Kept: 15107
% 4.68/5.05 Inuse: 776
% 4.68/5.05 Deleted: 33
% 4.68/5.05 Deletedinuse: 23
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 384427 integers for termspace/termends
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 39793
% 4.68/5.05 Kept: 17147
% 4.68/5.05 Inuse: 834
% 4.68/5.05 Deleted: 66
% 4.68/5.05 Deletedinuse: 54
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 1297440 integers for clauses
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 49146
% 4.68/5.05 Kept: 19375
% 4.68/5.05 Inuse: 892
% 4.68/5.05 Deleted: 87
% 4.68/5.05 Deletedinuse: 58
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying clauses:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 58642
% 4.68/5.05 Kept: 21387
% 4.68/5.05 Inuse: 920
% 4.68/5.05 Deleted: 1900
% 4.68/5.05 Deletedinuse: 59
% 4.68/5.05
% 4.68/5.05 *** allocated 576640 integers for termspace/termends
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 68252
% 4.68/5.05 Kept: 23407
% 4.68/5.05 Inuse: 949
% 4.68/5.05 Deleted: 1904
% 4.68/5.05 Deletedinuse: 59
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 77193
% 4.68/5.05 Kept: 25592
% 4.68/5.05 Inuse: 978
% 4.68/5.05 Deleted: 1910
% 4.68/5.05 Deletedinuse: 59
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 86257
% 4.68/5.05 Kept: 27994
% 4.68/5.05 Inuse: 1028
% 4.68/5.05 Deleted: 1910
% 4.68/5.05 Deletedinuse: 59
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 1946160 integers for clauses
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 97680
% 4.68/5.05 Kept: 30010
% 4.68/5.05 Inuse: 1053
% 4.68/5.05 Deleted: 1912
% 4.68/5.05 Deletedinuse: 61
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 864960 integers for termspace/termends
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 108546
% 4.68/5.05 Kept: 32331
% 4.68/5.05 Inuse: 1083
% 4.68/5.05 Deleted: 1916
% 4.68/5.05 Deletedinuse: 65
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 116437
% 4.68/5.05 Kept: 34333
% 4.68/5.05 Inuse: 1107
% 4.68/5.05 Deleted: 1922
% 4.68/5.05 Deletedinuse: 65
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 125817
% 4.68/5.05 Kept: 36363
% 4.68/5.05 Inuse: 1209
% 4.68/5.05 Deleted: 1942
% 4.68/5.05 Deletedinuse: 70
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 140678
% 4.68/5.05 Kept: 38386
% 4.68/5.05 Inuse: 1248
% 4.68/5.05 Deleted: 1956
% 4.68/5.05 Deletedinuse: 70
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 151765
% 4.68/5.05 Kept: 40472
% 4.68/5.05 Inuse: 1277
% 4.68/5.05 Deleted: 1956
% 4.68/5.05 Deletedinuse: 70
% 4.68/5.05
% 4.68/5.05 Resimplifying clauses:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Intermediate Status:
% 4.68/5.05 Generated: 161585
% 4.68/5.05 Kept: 42494
% 4.68/5.05 Inuse: 1318
% 4.68/5.05 Deleted: 3891
% 4.68/5.05 Deletedinuse: 73
% 4.68/5.05
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05 *** allocated 2919240 integers for clauses
% 4.68/5.05 Resimplifying inuse:
% 4.68/5.05 Done
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Bliksems!, er is een bewijs:
% 4.68/5.05 % SZS status Theorem
% 4.68/5.05 % SZS output start Refutation
% 4.68/5.05
% 4.68/5.05 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 4.68/5.05 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 4.68/5.05 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 4.68/5.05 alpha2( X, Y, Z ) }.
% 4.68/5.05 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 4.68/5.05 , ! X = Y }.
% 4.68/5.05 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 4.68/5.05 (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==> X }.
% 4.68/5.05 (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X ) }.
% 4.68/5.05 (255) {G0,W16,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 4.68/5.05 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 4.68/5.05 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 4.68/5.05 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.68/5.05 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.68/5.05 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 4.68/5.05 (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ), ! segmentP(
% 4.68/5.05 skol49, X ), ! segmentP( skol46, X ) }.
% 4.68/5.05 (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 4.68/5.05 (284) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46, skol52 ) ==>
% 4.68/5.05 skol49 }.
% 4.68/5.05 (287) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, ! skol46 ==>
% 4.68/5.05 nil }.
% 4.68/5.05 (322) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X ) }.
% 4.68/5.05 (360) {G1,W14,D3,L4,V2,M4} F(255) { ! ssList( X ), ! ssList( Y ), ! app( Y
% 4.68/5.05 , X ) = app( X, X ), Y = X }.
% 4.68/5.05 (495) {G1,W3,D2,L1,V0,M1} R(212,275) { segmentP( skol46, skol46 ) }.
% 4.68/5.05 (713) {G2,W3,D2,L1,V0,M1} R(322,161) { ! neq( nil, nil ) }.
% 4.68/5.05 (1237) {G3,W3,D2,L1,V0,M1} P(287,281);r(713) { ! skol46 ==> nil }.
% 4.68/5.05 (13718) {G4,W8,D2,L3,V1,M3} P(159,1237);r(275) { ! X = nil, ! ssList( X ),
% 4.68/5.05 neq( skol46, X ) }.
% 4.68/5.05 (13897) {G5,W3,D2,L1,V0,M1} Q(13718);r(161) { neq( skol46, nil ) }.
% 4.68/5.05 (16766) {G1,W5,D3,L1,V0,M1} R(175,275) { app( nil, skol46 ) ==> skol46 }.
% 4.68/5.05 (34578) {G6,W6,D2,L2,V0,M2} R(282,13897);r(275) { ! segmentP( skol49,
% 4.68/5.05 skol46 ), ! segmentP( skol46, skol46 ) }.
% 4.68/5.05 (34740) {G7,W3,D2,L1,V0,M1} S(34578);r(495) { ! segmentP( skol49, skol46 )
% 4.68/5.05 }.
% 4.68/5.05 (34742) {G8,W8,D2,L3,V1,M3} R(34740,22);r(276) { ! ssList( skol46 ), !
% 4.68/5.05 ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 4.68/5.05 (40585) {G9,W6,D2,L2,V1,M2} S(34742);r(275) { ! ssList( X ), ! alpha2(
% 4.68/5.05 skol49, skol46, X ) }.
% 4.68/5.05 (42467) {G10,W4,D2,L1,V0,M1} R(40585,161) { ! alpha2( skol49, skol46, nil )
% 4.68/5.05 }.
% 4.68/5.05 (42470) {G11,W7,D3,L2,V1,M2} R(42467,25);d(16766) { ! ssList( X ), ! app(
% 4.68/5.05 skol46, X ) ==> skol49 }.
% 4.68/5.05 (44541) {G12,W11,D3,L3,V1,M3} P(360,284);r(42470) { ! ssList( skol52 ), !
% 4.68/5.05 ssList( X ), ! app( X, skol52 ) = app( skol52, skol52 ) }.
% 4.68/5.05 (44572) {G13,W0,D0,L0,V0,M0} F(44541);q;r(283) { }.
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 % SZS output end Refutation
% 4.68/5.05 found a proof!
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Unprocessed initial clauses:
% 4.68/5.05
% 4.68/5.05 (44574) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 4.68/5.05 , ! X = Y }.
% 4.68/5.05 (44575) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44576) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 4.68/5.05 (44577) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 4.68/5.05 (44578) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 4.68/5.05 (44579) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 4.68/5.05 , Y ), ssList( skol2( Z, T ) ) }.
% 4.68/5.05 (44580) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 4.68/5.05 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 4.68/5.05 (44581) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 4.68/5.05 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 4.68/5.05 (44582) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 4.68/5.05 ) ) }.
% 4.68/5.05 (44583) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 4.68/5.05 ( X, Y, Z ) ) ) = X }.
% 4.68/5.05 (44584) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 4.68/5.05 , alpha1( X, Y, Z ) }.
% 4.68/5.05 (44585) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 4.68/5.05 skol4( Y ) ) }.
% 4.68/5.05 (44586) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 4.68/5.05 skol4( X ), nil ) = X }.
% 4.68/5.05 (44587) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 4.68/5.05 nil ) = X, singletonP( X ) }.
% 4.68/5.05 (44588) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.68/5.05 X, Y ), ssList( skol5( Z, T ) ) }.
% 4.68/5.05 (44589) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.68/5.05 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 4.68/5.05 (44590) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 4.68/5.05 (44591) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.68/5.05 , Y ), ssList( skol6( Z, T ) ) }.
% 4.68/5.05 (44592) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.68/5.05 , Y ), app( skol6( X, Y ), Y ) = X }.
% 4.68/5.05 (44593) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 4.68/5.05 (44594) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.68/5.05 , Y ), ssList( skol7( Z, T ) ) }.
% 4.68/5.05 (44595) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.68/5.05 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 4.68/5.05 (44596) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 4.68/5.05 (44597) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 4.68/5.05 ) ) }.
% 4.68/5.05 (44598) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 4.68/5.05 skol8( X, Y, Z ) ) = X }.
% 4.68/5.05 (44599) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 4.68/5.05 , alpha2( X, Y, Z ) }.
% 4.68/5.05 (44600) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 4.68/5.05 Y ), alpha3( X, Y ) }.
% 4.68/5.05 (44601) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 4.68/5.05 cyclefreeP( X ) }.
% 4.68/5.05 (44602) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 4.68/5.05 cyclefreeP( X ) }.
% 4.68/5.05 (44603) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 4.68/5.05 , Y, Z ) }.
% 4.68/5.05 (44604) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 4.68/5.05 (44605) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44606) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 4.68/5.05 alpha28( X, Y, Z, T ) }.
% 4.68/5.05 (44607) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 4.68/5.05 Z ) }.
% 4.68/5.05 (44608) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 4.68/5.05 alpha21( X, Y, Z ) }.
% 4.68/5.05 (44609) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 4.68/5.05 alpha35( X, Y, Z, T, U ) }.
% 4.68/5.05 (44610) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 4.68/5.05 X, Y, Z, T ) }.
% 4.68/5.05 (44611) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 4.68/5.05 ), alpha28( X, Y, Z, T ) }.
% 4.68/5.05 (44612) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 4.68/5.05 alpha41( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44613) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 4.68/5.05 alpha35( X, Y, Z, T, U ) }.
% 4.68/5.05 (44614) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 4.68/5.05 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 4.68/5.05 (44615) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 4.68/5.05 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 4.68/5.05 (44616) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.68/5.05 = X, alpha41( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44617) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 4.68/5.05 W ) }.
% 4.68/5.05 (44618) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 4.68/5.05 X ) }.
% 4.68/5.05 (44619) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 4.68/5.05 (44620) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 4.68/5.05 (44621) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 4.68/5.05 ( Y ), alpha4( X, Y ) }.
% 4.68/5.05 (44622) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 4.68/5.05 totalorderP( X ) }.
% 4.68/5.05 (44623) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 4.68/5.05 totalorderP( X ) }.
% 4.68/5.05 (44624) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 4.68/5.05 , Y, Z ) }.
% 4.68/5.05 (44625) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 4.68/5.05 (44626) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44627) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 4.68/5.05 alpha29( X, Y, Z, T ) }.
% 4.68/5.05 (44628) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 4.68/5.05 Z ) }.
% 4.68/5.05 (44629) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 4.68/5.05 alpha22( X, Y, Z ) }.
% 4.68/5.05 (44630) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 4.68/5.05 alpha36( X, Y, Z, T, U ) }.
% 4.68/5.05 (44631) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 4.68/5.05 X, Y, Z, T ) }.
% 4.68/5.05 (44632) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 4.68/5.05 ), alpha29( X, Y, Z, T ) }.
% 4.68/5.05 (44633) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 4.68/5.05 alpha42( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44634) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 4.68/5.05 alpha36( X, Y, Z, T, U ) }.
% 4.68/5.05 (44635) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 4.68/5.05 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 4.68/5.05 (44636) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 4.68/5.05 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 4.68/5.05 (44637) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.68/5.05 = X, alpha42( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44638) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 4.68/5.05 W ) }.
% 4.68/5.05 (44639) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 4.68/5.05 }.
% 4.68/5.05 (44640) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 4.68/5.05 (44641) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 4.68/5.05 (44642) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 4.68/5.05 ( Y ), alpha5( X, Y ) }.
% 4.68/5.05 (44643) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 4.68/5.05 strictorderP( X ) }.
% 4.68/5.05 (44644) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 4.68/5.05 strictorderP( X ) }.
% 4.68/5.05 (44645) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 4.68/5.05 , Y, Z ) }.
% 4.68/5.05 (44646) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 4.68/5.05 (44647) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44648) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 4.68/5.05 alpha30( X, Y, Z, T ) }.
% 4.68/5.05 (44649) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 4.68/5.05 Z ) }.
% 4.68/5.05 (44650) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 4.68/5.05 alpha23( X, Y, Z ) }.
% 4.68/5.05 (44651) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 4.68/5.05 alpha37( X, Y, Z, T, U ) }.
% 4.68/5.05 (44652) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 4.68/5.05 X, Y, Z, T ) }.
% 4.68/5.05 (44653) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 4.68/5.05 ), alpha30( X, Y, Z, T ) }.
% 4.68/5.05 (44654) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 4.68/5.05 alpha43( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44655) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 4.68/5.05 alpha37( X, Y, Z, T, U ) }.
% 4.68/5.05 (44656) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 4.68/5.05 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 4.68/5.05 (44657) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 4.68/5.05 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 4.68/5.05 (44658) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.68/5.05 = X, alpha43( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44659) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 4.68/5.05 W ) }.
% 4.68/5.05 (44660) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 4.68/5.05 }.
% 4.68/5.05 (44661) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 4.68/5.05 (44662) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 4.68/5.05 (44663) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 4.68/5.05 ssItem( Y ), alpha6( X, Y ) }.
% 4.68/5.05 (44664) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 4.68/5.05 totalorderedP( X ) }.
% 4.68/5.05 (44665) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 4.68/5.05 totalorderedP( X ) }.
% 4.68/5.05 (44666) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 4.68/5.05 , Y, Z ) }.
% 4.68/5.05 (44667) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 4.68/5.05 (44668) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44669) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 4.68/5.05 alpha24( X, Y, Z, T ) }.
% 4.68/5.05 (44670) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 4.68/5.05 Z ) }.
% 4.68/5.05 (44671) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 4.68/5.05 alpha15( X, Y, Z ) }.
% 4.68/5.05 (44672) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 4.68/5.05 alpha31( X, Y, Z, T, U ) }.
% 4.68/5.05 (44673) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 4.68/5.05 X, Y, Z, T ) }.
% 4.68/5.05 (44674) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 4.68/5.05 ), alpha24( X, Y, Z, T ) }.
% 4.68/5.05 (44675) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 4.68/5.05 alpha38( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44676) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 4.68/5.05 alpha31( X, Y, Z, T, U ) }.
% 4.68/5.05 (44677) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 4.68/5.05 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 4.68/5.05 (44678) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 4.68/5.05 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 4.68/5.05 (44679) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.68/5.05 = X, alpha38( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44680) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 4.68/5.05 }.
% 4.68/5.05 (44681) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 4.68/5.05 ssItem( Y ), alpha7( X, Y ) }.
% 4.68/5.05 (44682) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 4.68/5.05 strictorderedP( X ) }.
% 4.68/5.05 (44683) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 4.68/5.05 strictorderedP( X ) }.
% 4.68/5.05 (44684) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 4.68/5.05 , Y, Z ) }.
% 4.68/5.05 (44685) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 4.68/5.05 (44686) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44687) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 4.68/5.05 alpha25( X, Y, Z, T ) }.
% 4.68/5.05 (44688) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 4.68/5.05 Z ) }.
% 4.68/5.05 (44689) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 4.68/5.05 alpha16( X, Y, Z ) }.
% 4.68/5.05 (44690) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 4.68/5.05 alpha32( X, Y, Z, T, U ) }.
% 4.68/5.05 (44691) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 4.68/5.05 X, Y, Z, T ) }.
% 4.68/5.05 (44692) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 4.68/5.05 ), alpha25( X, Y, Z, T ) }.
% 4.68/5.05 (44693) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 4.68/5.05 alpha39( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44694) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 4.68/5.05 alpha32( X, Y, Z, T, U ) }.
% 4.68/5.05 (44695) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 4.68/5.05 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 4.68/5.05 (44696) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 4.68/5.05 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 4.68/5.05 (44697) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.68/5.05 = X, alpha39( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44698) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 4.68/5.05 }.
% 4.68/5.05 (44699) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 4.68/5.05 ssItem( Y ), alpha8( X, Y ) }.
% 4.68/5.05 (44700) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 4.68/5.05 duplicatefreeP( X ) }.
% 4.68/5.05 (44701) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 4.68/5.05 duplicatefreeP( X ) }.
% 4.68/5.05 (44702) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 4.68/5.05 , Y, Z ) }.
% 4.68/5.05 (44703) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 4.68/5.05 (44704) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44705) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 4.68/5.05 alpha26( X, Y, Z, T ) }.
% 4.68/5.05 (44706) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 4.68/5.05 Z ) }.
% 4.68/5.05 (44707) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 4.68/5.05 alpha17( X, Y, Z ) }.
% 4.68/5.05 (44708) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 4.68/5.05 alpha33( X, Y, Z, T, U ) }.
% 4.68/5.05 (44709) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 4.68/5.05 X, Y, Z, T ) }.
% 4.68/5.05 (44710) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 4.68/5.05 ), alpha26( X, Y, Z, T ) }.
% 4.68/5.05 (44711) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 4.68/5.05 alpha40( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44712) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 4.68/5.05 alpha33( X, Y, Z, T, U ) }.
% 4.68/5.05 (44713) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 4.68/5.05 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 4.68/5.05 (44714) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 4.68/5.05 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 4.68/5.05 (44715) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.68/5.05 = X, alpha40( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44716) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 4.68/5.05 (44717) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 4.68/5.05 ( Y ), alpha9( X, Y ) }.
% 4.68/5.05 (44718) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 4.68/5.05 equalelemsP( X ) }.
% 4.68/5.05 (44719) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 4.68/5.05 equalelemsP( X ) }.
% 4.68/5.05 (44720) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 4.68/5.05 , Y, Z ) }.
% 4.68/5.05 (44721) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 4.68/5.05 (44722) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44723) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 4.68/5.05 alpha27( X, Y, Z, T ) }.
% 4.68/5.05 (44724) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 4.68/5.05 Z ) }.
% 4.68/5.05 (44725) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 4.68/5.05 alpha18( X, Y, Z ) }.
% 4.68/5.05 (44726) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 4.68/5.05 alpha34( X, Y, Z, T, U ) }.
% 4.68/5.05 (44727) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 4.68/5.05 X, Y, Z, T ) }.
% 4.68/5.05 (44728) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 4.68/5.05 ), alpha27( X, Y, Z, T ) }.
% 4.68/5.05 (44729) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 4.68/5.05 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 4.68/5.05 (44730) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 4.68/5.05 alpha34( X, Y, Z, T, U ) }.
% 4.68/5.05 (44731) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 4.68/5.05 (44732) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 4.68/5.05 , ! X = Y }.
% 4.68/5.05 (44733) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 4.68/5.05 , Y ) }.
% 4.68/5.05 (44734) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 4.68/5.05 Y, X ) ) }.
% 4.68/5.05 (44735) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 4.68/5.05 (44736) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 4.68/5.05 = X }.
% 4.68/5.05 (44737) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.68/5.05 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 4.68/5.05 (44738) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.68/5.05 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 4.68/5.05 (44739) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 4.68/5.05 ) }.
% 4.68/5.05 (44740) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 4.68/5.05 ) }.
% 4.68/5.05 (44741) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 4.68/5.05 skol43( X ) ) = X }.
% 4.68/5.05 (44742) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 4.68/5.05 Y, X ) }.
% 4.68/5.05 (44743) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 4.68/5.05 }.
% 4.68/5.05 (44744) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 4.68/5.05 X ) ) = Y }.
% 4.68/5.05 (44745) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 4.68/5.05 }.
% 4.68/5.05 (44746) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 4.68/5.05 X ) ) = X }.
% 4.68/5.05 (44747) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 4.68/5.05 , Y ) ) }.
% 4.68/5.05 (44748) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.68/5.05 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 4.68/5.05 (44749) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 4.68/5.05 (44750) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 4.68/5.05 , ! leq( Y, X ), X = Y }.
% 4.68/5.05 (44751) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.68/5.05 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 4.68/5.05 (44752) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 4.68/5.05 (44753) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 4.68/5.05 , leq( Y, X ) }.
% 4.68/5.05 (44754) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 4.68/5.05 , geq( X, Y ) }.
% 4.68/5.05 (44755) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.68/5.05 , ! lt( Y, X ) }.
% 4.68/5.05 (44756) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.68/5.05 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 4.68/5.05 (44757) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 4.68/5.05 , lt( Y, X ) }.
% 4.68/5.05 (44758) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 4.68/5.05 , gt( X, Y ) }.
% 4.68/5.05 (44759) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 4.68/5.05 (44760) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 4.68/5.05 (44761) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 4.68/5.05 (44762) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.68/5.05 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 4.68/5.05 (44763) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.68/5.05 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 4.68/5.05 (44764) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.68/5.05 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 4.68/5.05 (44765) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 4.68/5.05 (44766) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 4.68/5.05 (44767) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 4.68/5.05 (44768) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.68/5.05 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 4.68/5.05 (44769) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 4.68/5.05 (44770) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 4.68/5.05 (44771) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.68/5.05 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 4.68/5.05 (44772) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.68/5.05 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 4.68/5.05 , T ) }.
% 4.68/5.05 (44773) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.68/5.05 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 4.68/5.05 cons( Y, T ) ) }.
% 4.68/5.05 (44774) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 4.68/5.05 (44775) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 4.68/5.05 X }.
% 4.68/5.05 (44776) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 4.68/5.05 ) }.
% 4.68/5.05 (44777) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 4.68/5.05 (44778) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.68/5.05 , Y ), ! rearsegP( Y, X ), X = Y }.
% 4.68/5.05 (44779) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 4.68/5.05 (44780) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 4.68/5.05 (44781) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 4.68/5.05 (44782) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 4.68/5.05 }.
% 4.68/5.05 (44783) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 4.68/5.05 }.
% 4.68/5.05 (44784) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 4.68/5.05 (44785) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.68/5.05 , Y ), ! segmentP( Y, X ), X = Y }.
% 4.68/5.05 (44786) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 4.68/5.05 (44787) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 4.68/5.05 }.
% 4.68/5.05 (44788) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 4.68/5.05 (44789) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 4.68/5.05 }.
% 4.68/5.05 (44790) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 4.68/5.05 }.
% 4.68/5.05 (44791) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 4.68/5.05 }.
% 4.68/5.05 (44792) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 4.68/5.05 (44793) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 4.68/5.05 }.
% 4.68/5.05 (44794) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 4.68/5.05 (44795) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 4.68/5.05 ) }.
% 4.68/5.05 (44796) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 4.68/5.05 (44797) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 4.68/5.05 ) }.
% 4.68/5.05 (44798) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 4.68/5.05 (44799) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 4.68/5.05 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 4.68/5.05 (44800) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 4.68/5.05 totalorderedP( cons( X, Y ) ) }.
% 4.68/5.05 (44801) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 4.68/5.05 , Y ), totalorderedP( cons( X, Y ) ) }.
% 4.68/5.05 (44802) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 4.68/5.05 (44803) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 4.68/5.05 (44804) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 4.68/5.05 }.
% 4.68/5.05 (44805) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 4.68/5.05 (44806) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 4.68/5.05 (44807) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 4.68/5.05 alpha19( X, Y ) }.
% 4.68/5.05 (44808) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 4.68/5.05 ) ) }.
% 4.68/5.05 (44809) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 4.68/5.05 (44810) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 4.68/5.05 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 4.68/5.05 (44811) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 4.68/5.05 strictorderedP( cons( X, Y ) ) }.
% 4.68/5.05 (44812) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 4.68/5.05 , Y ), strictorderedP( cons( X, Y ) ) }.
% 4.68/5.05 (44813) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 4.68/5.05 (44814) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 4.68/5.05 (44815) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 4.68/5.05 }.
% 4.68/5.05 (44816) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 4.68/5.05 (44817) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 4.68/5.05 (44818) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 4.68/5.05 alpha20( X, Y ) }.
% 4.68/5.05 (44819) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 4.68/5.05 ) ) }.
% 4.68/5.05 (44820) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 4.68/5.05 (44821) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 4.68/5.05 }.
% 4.68/5.05 (44822) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 4.68/5.05 (44823) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 4.68/5.05 ) }.
% 4.68/5.05 (44824) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 4.68/5.05 ) }.
% 4.68/5.05 (44825) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 4.68/5.05 ) }.
% 4.68/5.05 (44826) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 4.68/5.05 ) }.
% 4.68/5.05 (44827) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 4.68/5.05 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 4.68/5.05 (44828) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 4.68/5.05 X ) ) = X }.
% 4.68/5.05 (44829) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 4.68/5.05 (44830) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 4.68/5.05 (44831) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 4.68/5.05 = app( cons( Y, nil ), X ) }.
% 4.68/5.05 (44832) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.68/5.05 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 4.68/5.05 (44833) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 4.68/5.05 X, Y ), nil = Y }.
% 4.68/5.05 (44834) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 4.68/5.05 X, Y ), nil = X }.
% 4.68/5.05 (44835) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 4.68/5.05 nil = X, nil = app( X, Y ) }.
% 4.68/5.05 (44836) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 4.68/5.05 (44837) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 4.68/5.05 app( X, Y ) ) = hd( X ) }.
% 4.68/5.05 (44838) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 4.68/5.05 app( X, Y ) ) = app( tl( X ), Y ) }.
% 4.68/5.05 (44839) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 4.68/5.05 , ! geq( Y, X ), X = Y }.
% 4.68/5.05 (44840) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.68/5.05 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 4.68/5.05 (44841) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 4.68/5.05 (44842) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 4.68/5.05 (44843) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.68/5.05 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 4.68/5.05 (44844) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 4.68/5.05 , X = Y, lt( X, Y ) }.
% 4.68/5.05 (44845) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.68/5.05 , ! X = Y }.
% 4.68/5.05 (44846) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.68/5.05 , leq( X, Y ) }.
% 4.68/5.05 (44847) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 4.68/5.05 ( X, Y ), lt( X, Y ) }.
% 4.68/5.05 (44848) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 4.68/5.05 , ! gt( Y, X ) }.
% 4.68/5.05 (44849) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.68/5.05 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 4.68/5.05 (44850) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 4.68/5.05 (44851) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 4.68/5.05 (44852) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 4.68/5.05 (44853) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 4.68/5.05 (44854) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 4.68/5.05 (44855) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 4.68/5.05 (44856) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 4.68/5.05 (44857) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), ! segmentP
% 4.68/5.05 ( skol49, X ), ! segmentP( skol46, X ) }.
% 4.68/5.05 (44858) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 4.68/5.05 (44859) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) = skol51 }.
% 4.68/5.05 (44860) {G0,W2,D2,L1,V0,M1} { strictorderedP( skol50 ) }.
% 4.68/5.05 (44861) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 4.68/5.05 X, nil ), Y ) = skol52, ! ssItem( Z ), ! ssList( T ), ! app( T, cons( Z,
% 4.68/5.05 nil ) ) = skol50, ! lt( Z, X ) }.
% 4.68/5.05 (44862) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 4.68/5.05
% 4.68/5.05
% 4.68/5.05 Total Proof:
% 4.68/5.05
% 4.68/5.05 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 4.68/5.05 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 4.68/5.05 parent0: (44596) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 4.68/5.05 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 X := X
% 4.68/5.07 Y := Y
% 4.68/5.07 Z := Z
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 1 ==> 1
% 4.68/5.07 2 ==> 2
% 4.68/5.07 3 ==> 3
% 4.68/5.07 4 ==> 4
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 4.68/5.07 ), T ) = X, alpha2( X, Y, Z ) }.
% 4.68/5.07 parent0: (44599) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 4.68/5.07 , T ) = X, alpha2( X, Y, Z ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 X := X
% 4.68/5.07 Y := Y
% 4.68/5.07 Z := Z
% 4.68/5.07 T := T
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 1 ==> 1
% 4.68/5.07 2 ==> 2
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 4.68/5.07 neq( X, Y ), ! X = Y }.
% 4.68/5.07 parent0: (44732) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 4.68/5.07 neq( X, Y ), ! X = Y }.
% 4.68/5.07 substitution0:
% 4.68/5.07 X := X
% 4.68/5.07 Y := Y
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 1 ==> 1
% 4.68/5.07 2 ==> 2
% 4.68/5.07 3 ==> 3
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 4.68/5.07 = Y, neq( X, Y ) }.
% 4.68/5.07 parent0: (44733) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 4.68/5.07 Y, neq( X, Y ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 X := X
% 4.68/5.07 Y := Y
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 1 ==> 1
% 4.68/5.07 2 ==> 2
% 4.68/5.07 3 ==> 3
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 4.68/5.07 parent0: (44735) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==>
% 4.68/5.07 X }.
% 4.68/5.07 parent0: (44749) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X
% 4.68/5.07 }.
% 4.68/5.07 substitution0:
% 4.68/5.07 X := X
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 1 ==> 1
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 4.68/5.07 }.
% 4.68/5.07 parent0: (44786) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 X := X
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 1 ==> 1
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (255) {G0,W16,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 4.68/5.07 ssList( Z ), ! app( Z, Y ) = app( X, Y ), Z = X }.
% 4.68/5.07 parent0: (44829) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 4.68/5.07 ssList( Z ), ! app( Z, Y ) = app( X, Y ), Z = X }.
% 4.68/5.07 substitution0:
% 4.68/5.07 X := X
% 4.68/5.07 Y := Y
% 4.68/5.07 Z := Z
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 1 ==> 1
% 4.68/5.07 2 ==> 2
% 4.68/5.07 3 ==> 3
% 4.68/5.07 4 ==> 4
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 4.68/5.07 parent0: (44850) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 4.68/5.07 parent0: (44851) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 eqswap: (46730) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 4.68/5.07 parent0[0]: (44854) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.68/5.07 parent0: (46730) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 eqswap: (47078) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 4.68/5.07 parent0[0]: (44855) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.68/5.07 parent0: (47078) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 4.68/5.07 parent0: (44856) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil )
% 4.68/5.07 , ! segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 4.68/5.07 parent0: (44857) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), !
% 4.68/5.07 segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 X := X
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 1 ==> 1
% 4.68/5.07 2 ==> 2
% 4.68/5.07 3 ==> 3
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 subsumption: (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 4.68/5.07 parent0: (44858) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07 permutation0:
% 4.68/5.07 0 ==> 0
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 paramod: (49054) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol51 }.
% 4.68/5.07 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.68/5.07 parent1[0; 2]: (44859) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) =
% 4.68/5.07 skol51 }.
% 4.68/5.07 substitution0:
% 4.68/5.07 end
% 4.68/5.07 substitution1:
% 4.68/5.07 end
% 4.68/5.07
% 4.68/5.07 paramod: (49055) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol49 }.
% 4.68/5.07 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.72/5.07 parent1[0; 4]: (49054) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) =
% 4.72/5.07 skol51 }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07 substitution1:
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 subsumption: (284) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46,
% 4.72/5.07 skol52 ) ==> skol49 }.
% 4.72/5.07 parent0: (49055) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol49 }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07 permutation0:
% 4.72/5.07 0 ==> 0
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 paramod: (50018) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50 }.
% 4.72/5.07 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.72/5.07 parent1[0; 2]: (44862) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50
% 4.72/5.07 }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07 substitution1:
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 paramod: (50019) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 4.72/5.07 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.72/5.07 parent1[1; 3]: (50018) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50
% 4.72/5.07 }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07 substitution1:
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 eqswap: (50021) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 4.72/5.07 parent0[1]: (50019) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 eqswap: (50022) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 4.72/5.07 parent0[1]: (50021) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 subsumption: (287) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 4.72/5.07 skol46 ==> nil }.
% 4.72/5.07 parent0: (50022) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07 permutation0:
% 4.72/5.07 0 ==> 1
% 4.72/5.07 1 ==> 0
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 eqswap: (50023) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 4.72/5.07 ), ! neq( X, Y ) }.
% 4.72/5.07 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 4.72/5.07 neq( X, Y ), ! X = Y }.
% 4.72/5.07 substitution0:
% 4.72/5.07 X := X
% 4.72/5.07 Y := Y
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 factor: (50024) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X, X
% 4.72/5.07 ) }.
% 4.72/5.07 parent0[1, 2]: (50023) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 4.72/5.07 ssList( Y ), ! neq( X, Y ) }.
% 4.72/5.07 substitution0:
% 4.72/5.07 X := X
% 4.72/5.07 Y := X
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 eqrefl: (50025) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 4.72/5.07 parent0[0]: (50024) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X
% 4.72/5.07 , X ) }.
% 4.72/5.07 substitution0:
% 4.72/5.07 X := X
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 subsumption: (322) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X,
% 4.72/5.07 X ) }.
% 4.72/5.07 parent0: (50025) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 4.72/5.07 substitution0:
% 4.72/5.07 X := X
% 4.72/5.07 end
% 4.72/5.07 permutation0:
% 4.72/5.07 0 ==> 0
% 4.72/5.07 1 ==> 1
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 factor: (50027) {G0,W14,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! app
% 4.72/5.07 ( Y, X ) = app( X, X ), Y = X }.
% 4.72/5.07 parent0[0, 1]: (255) {G0,W16,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y )
% 4.72/5.07 , ! ssList( Z ), ! app( Z, Y ) = app( X, Y ), Z = X }.
% 4.72/5.07 substitution0:
% 4.72/5.07 X := X
% 4.72/5.07 Y := X
% 4.72/5.07 Z := Y
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 subsumption: (360) {G1,W14,D3,L4,V2,M4} F(255) { ! ssList( X ), ! ssList( Y
% 4.72/5.07 ), ! app( Y, X ) = app( X, X ), Y = X }.
% 4.72/5.07 parent0: (50027) {G0,W14,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 4.72/5.07 app( Y, X ) = app( X, X ), Y = X }.
% 4.72/5.07 substitution0:
% 4.72/5.07 X := X
% 4.72/5.07 Y := Y
% 4.72/5.07 end
% 4.72/5.07 permutation0:
% 4.72/5.07 0 ==> 0
% 4.72/5.07 1 ==> 1
% 4.72/5.07 2 ==> 2
% 4.72/5.07 3 ==> 3
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 resolution: (50033) {G1,W3,D2,L1,V0,M1} { segmentP( skol46, skol46 ) }.
% 4.72/5.07 parent0[0]: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 4.72/5.07 }.
% 4.72/5.07 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 4.72/5.07 substitution0:
% 4.72/5.07 X := skol46
% 4.72/5.07 end
% 4.72/5.07 substitution1:
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 subsumption: (495) {G1,W3,D2,L1,V0,M1} R(212,275) { segmentP( skol46,
% 4.72/5.07 skol46 ) }.
% 4.72/5.07 parent0: (50033) {G1,W3,D2,L1,V0,M1} { segmentP( skol46, skol46 ) }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07 permutation0:
% 4.72/5.07 0 ==> 0
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 resolution: (50034) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 4.72/5.07 parent0[0]: (322) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X
% 4.72/5.07 ) }.
% 4.72/5.07 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 4.72/5.07 substitution0:
% 4.72/5.07 X := nil
% 4.72/5.07 end
% 4.72/5.07 substitution1:
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 subsumption: (713) {G2,W3,D2,L1,V0,M1} R(322,161) { ! neq( nil, nil ) }.
% 4.72/5.07 parent0: (50034) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07 permutation0:
% 4.72/5.07 0 ==> 0
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 eqswap: (50036) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol46, skol49 ==> nil }.
% 4.72/5.07 parent0[1]: (287) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 4.72/5.07 skol46 ==> nil }.
% 4.72/5.07 substitution0:
% 4.72/5.07 end
% 4.72/5.07
% 4.72/5.07 paramod: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------