TSTP Solution File: SWC277+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC277+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:35:27 EDT 2022
% Result : Theorem 2.57s 2.95s
% Output : Refutation 2.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC277+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jun 12 16:33:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.77/1.15 *** allocated 10000 integers for termspace/termends
% 0.77/1.15 *** allocated 10000 integers for clauses
% 0.77/1.15 *** allocated 10000 integers for justifications
% 0.77/1.15 Bliksem 1.12
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Automatic Strategy Selection
% 0.77/1.15
% 0.77/1.15 *** allocated 15000 integers for termspace/termends
% 0.77/1.15
% 0.77/1.15 Clauses:
% 0.77/1.15
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.77/1.15 { ssItem( skol1 ) }.
% 0.77/1.15 { ssItem( skol47 ) }.
% 0.77/1.15 { ! skol1 = skol47 }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.77/1.15 }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.77/1.15 Y ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.77/1.15 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.77/1.15 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.77/1.15 ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.77/1.15 ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.77/1.15 }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.77/1.15 = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.77/1.15 }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.77/1.15 , Y ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.77/1.15 segmentP( X, Y ) }.
% 0.77/1.15 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.77/1.15 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.77/1.15 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.77/1.15 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.77/1.15 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.77/1.15 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.77/1.15 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.77/1.15 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, alpha12( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.77/1.15 { leq( X, Y ), alpha12( X, Y ) }.
% 0.77/1.15 { leq( Y, X ), alpha12( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.77/1.15 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.77/1.15 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.77/1.15 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.77/1.15 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.77/1.15 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, alpha13( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.77/1.15 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.77/1.15 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.77/1.15 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.77/1.15 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.77/1.15 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.77/1.15 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, alpha14( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.77/1.15 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.77/1.15 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.77/1.15 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.77/1.15 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.77/1.15 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.77/1.15 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.77/1.15 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, leq( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.77/1.15 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.77/1.15 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.77/1.15 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.77/1.15 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.77/1.15 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, lt( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.77/1.15 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.77/1.15 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.77/1.15 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.77/1.15 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.77/1.15 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, ! Y = Z }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.77/1.15 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.77/1.15 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.77/1.15 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.77/1.15 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.77/1.15 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.77/1.15 Z }.
% 0.77/1.15 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.77/1.15 { ssList( nil ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.77/1.15 ) = cons( T, Y ), Z = T }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.77/1.15 ) = cons( T, Y ), Y = X }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.77/1.15 ( cons( Z, Y ), X ) }.
% 0.77/1.15 { ! ssList( X ), app( nil, X ) = X }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.77/1.15 , leq( X, Z ) }.
% 0.77/1.15 { ! ssItem( X ), leq( X, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.77/1.15 lt( X, Z ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.77/1.15 , memberP( Y, X ), memberP( Z, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.77/1.15 app( Y, Z ), X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.77/1.15 app( Y, Z ), X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.77/1.15 , X = Y, memberP( Z, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.77/1.15 ), X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.77/1.15 cons( Y, Z ), X ) }.
% 0.77/1.15 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.77/1.15 { ! singletonP( nil ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.77/1.15 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.77/1.15 = Y }.
% 0.77/1.15 { ! ssList( X ), frontsegP( X, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.77/1.15 frontsegP( app( X, Z ), Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.77/1.15 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.77/1.15 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.77/1.15 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.77/1.15 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.77/1.15 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.77/1.15 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.77/1.15 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.77/1.15 Y }.
% 0.77/1.15 { ! ssList( X ), rearsegP( X, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.77/1.15 ( app( Z, X ), Y ) }.
% 0.77/1.15 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.77/1.15 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.77/1.15 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.77/1.15 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.77/1.15 Y }.
% 0.77/1.15 { ! ssList( X ), segmentP( X, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.77/1.15 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.77/1.15 { ! ssList( X ), segmentP( X, nil ) }.
% 0.77/1.15 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.77/1.15 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.77/1.15 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.77/1.15 { cyclefreeP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.77/1.15 { totalorderP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.77/1.15 { strictorderP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.77/1.15 { totalorderedP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.77/1.15 alpha10( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.77/1.15 .
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.77/1.15 Y ) ) }.
% 0.77/1.15 { ! alpha10( X, Y ), ! nil = Y }.
% 0.77/1.15 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.77/1.15 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.77/1.15 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.77/1.15 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.77/1.15 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.77/1.15 { strictorderedP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.77/1.15 alpha11( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.77/1.15 .
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.77/1.15 , Y ) ) }.
% 0.77/1.15 { ! alpha11( X, Y ), ! nil = Y }.
% 0.77/1.15 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.77/1.15 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.77/1.15 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.77/1.15 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.77/1.15 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.77/1.15 { duplicatefreeP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.77/1.15 { equalelemsP( nil ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.77/1.15 ( Y ) = tl( X ), Y = X }.
% 0.77/1.15 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.77/1.15 , Z = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.77/1.15 , Z = X }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.77/1.15 ( X, app( Y, Z ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), app( X, nil ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.77/1.15 Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.77/1.15 , geq( X, Z ) }.
% 0.77/1.15 { ! ssItem( X ), geq( X, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! lt( X, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.77/1.15 , lt( X, Z ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.77/1.15 gt( X, Z ) }.
% 0.77/1.15 { ssList( skol46 ) }.
% 0.77/1.15 { ssList( skol49 ) }.
% 0.77/1.15 { ssList( skol50 ) }.
% 0.77/1.15 { ssList( skol51 ) }.
% 0.77/1.15 { skol49 = skol51 }.
% 0.77/1.15 { skol46 = skol50 }.
% 0.77/1.15 { segmentP( skol51, skol50 ) }.
% 0.77/1.15 { ! totalorderedP( skol46 ) }.
% 0.77/1.15 { singletonP( skol50 ), ! neq( skol51, nil ) }.
% 0.77/1.15
% 0.77/1.15 *** allocated 15000 integers for clauses
% 0.77/1.15 percentage equality = 0.127533, percentage horn = 0.760563
% 0.77/1.15 This is a problem with some equality
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Options Used:
% 0.77/1.15
% 0.77/1.15 useres = 1
% 0.77/1.15 useparamod = 1
% 0.77/1.15 useeqrefl = 1
% 0.77/1.15 useeqfact = 1
% 0.77/1.15 usefactor = 1
% 0.77/1.15 usesimpsplitting = 0
% 0.77/1.15 usesimpdemod = 5
% 0.77/1.15 usesimpres = 3
% 0.77/1.15
% 0.77/1.15 resimpinuse = 1000
% 0.77/1.15 resimpclauses = 20000
% 0.77/1.15 substype = eqrewr
% 0.77/1.15 backwardsubs = 1
% 0.77/1.15 selectoldest = 5
% 0.77/1.15
% 0.77/1.15 litorderings [0] = split
% 0.77/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.15
% 0.77/1.15 termordering = kbo
% 0.77/1.15
% 0.77/1.15 litapriori = 0
% 0.77/1.15 termapriori = 1
% 0.77/1.15 litaposteriori = 0
% 0.77/1.15 termaposteriori = 0
% 0.77/1.15 demodaposteriori = 0
% 0.77/1.15 ordereqreflfact = 0
% 0.77/1.15
% 0.77/1.15 litselect = negord
% 0.77/1.15
% 0.77/1.15 maxweight = 15
% 0.77/1.15 maxdepth = 30000
% 0.77/1.15 maxlength = 115
% 0.77/1.15 maxnrvars = 195
% 0.77/1.15 excuselevel = 1
% 0.77/1.15 increasemaxweight = 1
% 0.77/1.15
% 0.77/1.15 maxselected = 10000000
% 0.77/1.15 maxnrclauses = 10000000
% 0.77/1.15
% 0.77/1.15 showgenerated = 0
% 0.77/1.15 showkept = 0
% 0.77/1.15 showselected = 0
% 0.77/1.15 showdeleted = 0
% 0.77/1.15 showresimp = 1
% 0.77/1.15 showstatus = 2000
% 0.77/1.15
% 0.77/1.15 prologoutput = 0
% 0.77/1.15 nrgoals = 5000000
% 0.77/1.15 totalproof = 1
% 0.77/1.15
% 0.77/1.15 Symbols occurring in the translation:
% 0.77/1.15
% 0.77/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.15 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.77/1.15 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.77/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.15 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.77/1.15 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.77/1.15 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.77/1.15 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.77/1.15 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.77/1.15 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.77/1.15 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.77/1.15 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.77/1.15 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.77/1.15 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.77/1.15 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.77/1.15 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.70/2.10 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.70/2.10 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.70/2.10 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.70/2.10 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.70/2.10 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.70/2.10 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.70/2.10 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.70/2.10 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.70/2.10 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.70/2.10 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.70/2.10 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.70/2.10 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.70/2.10 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 1.70/2.10 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.70/2.10 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.70/2.10 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.70/2.10 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.70/2.10 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.70/2.10 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.70/2.10 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.70/2.10 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.70/2.10 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.70/2.10 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.70/2.10 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.70/2.10 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.70/2.10 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.70/2.10 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.70/2.10 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.70/2.10 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.70/2.10 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.70/2.10 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.70/2.10 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.70/2.10 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.70/2.10 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.70/2.10 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.70/2.10 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 1.70/2.10 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.70/2.10 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.70/2.10 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.70/2.10 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.70/2.10 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.70/2.10 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.70/2.10 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 1.70/2.10 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.70/2.10 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.70/2.10 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.70/2.10 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.70/2.10 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.70/2.10 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.70/2.10 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 1.70/2.10 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.70/2.10 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.70/2.10 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.70/2.10 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.70/2.10 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.70/2.10 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.70/2.10 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.70/2.10 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.70/2.10 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.70/2.10 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.70/2.10 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.70/2.10 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.70/2.10 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.70/2.10 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.70/2.10 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.70/2.10 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.70/2.10 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.70/2.10 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.70/2.10 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.70/2.10 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.70/2.10 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.70/2.10 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.70/2.10 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.70/2.10 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.70/2.10 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.70/2.10 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.70/2.10 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.70/2.10 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.70/2.10 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.70/2.10 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 2.57/2.95 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 2.57/2.95 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 2.57/2.95 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 2.57/2.95 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.57/2.95 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.57/2.95 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 2.57/2.95 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.57/2.95 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.57/2.95 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.57/2.95 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.57/2.95 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 2.57/2.95 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.57/2.95 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.57/2.95 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.57/2.95 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 2.57/2.95 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.57/2.95 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.57/2.95 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.57/2.95 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.57/2.95 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.57/2.95 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.57/2.95 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.57/2.95 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.57/2.95 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.57/2.95 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.57/2.95 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Starting Search:
% 2.57/2.95
% 2.57/2.95 *** allocated 22500 integers for clauses
% 2.57/2.95 *** allocated 33750 integers for clauses
% 2.57/2.95 *** allocated 50625 integers for clauses
% 2.57/2.95 *** allocated 22500 integers for termspace/termends
% 2.57/2.95 *** allocated 75937 integers for clauses
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 33750 integers for termspace/termends
% 2.57/2.95 *** allocated 113905 integers for clauses
% 2.57/2.95 *** allocated 50625 integers for termspace/termends
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 3688
% 2.57/2.95 Kept: 2007
% 2.57/2.95 Inuse: 206
% 2.57/2.95 Deleted: 6
% 2.57/2.95 Deletedinuse: 1
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 170857 integers for clauses
% 2.57/2.95 *** allocated 75937 integers for termspace/termends
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 256285 integers for clauses
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 6778
% 2.57/2.95 Kept: 4016
% 2.57/2.95 Inuse: 375
% 2.57/2.95 Deleted: 9
% 2.57/2.95 Deletedinuse: 4
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 113905 integers for termspace/termends
% 2.57/2.95 *** allocated 384427 integers for clauses
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 10325
% 2.57/2.95 Kept: 6032
% 2.57/2.95 Inuse: 516
% 2.57/2.95 Deleted: 21
% 2.57/2.95 Deletedinuse: 16
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 170857 integers for termspace/termends
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 576640 integers for clauses
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 13625
% 2.57/2.95 Kept: 8032
% 2.57/2.95 Inuse: 640
% 2.57/2.95 Deleted: 23
% 2.57/2.95 Deletedinuse: 18
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 16876
% 2.57/2.95 Kept: 10148
% 2.57/2.95 Inuse: 686
% 2.57/2.95 Deleted: 23
% 2.57/2.95 Deletedinuse: 18
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 256285 integers for termspace/termends
% 2.57/2.95 *** allocated 864960 integers for clauses
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 23271
% 2.57/2.95 Kept: 12779
% 2.57/2.95 Inuse: 761
% 2.57/2.95 Deleted: 29
% 2.57/2.95 Deletedinuse: 24
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 30914
% 2.57/2.95 Kept: 14794
% 2.57/2.95 Inuse: 791
% 2.57/2.95 Deleted: 51
% 2.57/2.95 Deletedinuse: 46
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 384427 integers for termspace/termends
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 37379
% 2.57/2.95 Kept: 16891
% 2.57/2.95 Inuse: 869
% 2.57/2.95 Deleted: 59
% 2.57/2.95 Deletedinuse: 52
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 1297440 integers for clauses
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 46010
% 2.57/2.95 Kept: 18897
% 2.57/2.95 Inuse: 910
% 2.57/2.95 Deleted: 69
% 2.57/2.95 Deletedinuse: 54
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 Resimplifying clauses:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 55025
% 2.57/2.95 Kept: 20904
% 2.57/2.95 Inuse: 940
% 2.57/2.95 Deleted: 2691
% 2.57/2.95 Deletedinuse: 56
% 2.57/2.95
% 2.57/2.95 *** allocated 576640 integers for termspace/termends
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 65738
% 2.57/2.95 Kept: 23000
% 2.57/2.95 Inuse: 970
% 2.57/2.95 Deleted: 2697
% 2.57/2.95 Deletedinuse: 57
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 73423
% 2.57/2.95 Kept: 25310
% 2.57/2.95 Inuse: 1014
% 2.57/2.95 Deleted: 2722
% 2.57/2.95 Deletedinuse: 81
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 80354
% 2.57/2.95 Kept: 27388
% 2.57/2.95 Inuse: 1053
% 2.57/2.95 Deleted: 2734
% 2.57/2.95 Deletedinuse: 92
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 1946160 integers for clauses
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 91091
% 2.57/2.95 Kept: 29832
% 2.57/2.95 Inuse: 1078
% 2.57/2.95 Deleted: 2736
% 2.57/2.95 Deletedinuse: 94
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 *** allocated 864960 integers for termspace/termends
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 102688
% 2.57/2.95 Kept: 32326
% 2.57/2.95 Inuse: 1118
% 2.57/2.95 Deleted: 2739
% 2.57/2.95 Deletedinuse: 97
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95 Resimplifying inuse:
% 2.57/2.95 Done
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Intermediate Status:
% 2.57/2.95 Generated: 110661
% 2.57/2.95 Kept: 34330
% 2.57/2.95 Inuse: 1236
% 2.57/2.95 Deleted: 2745
% 2.57/2.95 Deletedinuse: 97
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Bliksems!, er is een bewijs:
% 2.57/2.95 % SZS status Theorem
% 2.57/2.95 % SZS output start Refutation
% 2.57/2.95
% 2.57/2.95 (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.57/2.95 skol4( Y ) ) }.
% 2.57/2.95 (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X ), cons( skol4
% 2.57/2.95 ( X ), nil ) ==> X }.
% 2.57/2.95 (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 2.57/2.95 ) = X, singletonP( X ) }.
% 2.57/2.95 (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.57/2.95 totalorderedP( X ) }.
% 2.57/2.95 (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.57/2.95 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 2.57/2.95 , X ) ) }.
% 2.57/2.95 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.57/2.95 (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 2.57/2.95 , Y ), ! frontsegP( Y, X ), X = Y }.
% 2.57/2.95 (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil ) }.
% 2.57/2.95 (201) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 2.57/2.95 }.
% 2.57/2.95 (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 2.57/2.95 }.
% 2.57/2.95 (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.57/2.95 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.57/2.95 (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil ) }.
% 2.57/2.95 (216) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.57/2.95 }.
% 2.57/2.95 (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.57/2.95 ) }.
% 2.57/2.95 (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 2.57/2.95 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.57/2.95 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.57/2.95 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.57/2.95 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.57/2.95 (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49, skol46 ) }.
% 2.57/2.95 (282) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.57/2.95 (283) {G1,W5,D2,L2,V0,M2} I;d(280);d(279) { singletonP( skol46 ), ! neq(
% 2.57/2.95 skol49, nil ) }.
% 2.57/2.95 (352) {G1,W3,D2,L1,V0,M1} Q(216);r(161) { segmentP( nil, nil ) }.
% 2.57/2.95 (461) {G1,W3,D2,L1,V0,M1} R(214,275) { segmentP( skol46, nil ) }.
% 2.57/2.95 (547) {G1,W3,D2,L1,V0,M1} R(200,275) { frontsegP( skol46, nil ) }.
% 2.57/2.95 (4822) {G1,W4,D3,L1,V0,M1} R(91,275);r(282) { ! alpha6( skol46, skol24(
% 2.57/2.95 skol46 ) ) }.
% 2.57/2.95 (4869) {G2,W4,D3,L1,V2,M1} R(93,4822) { ssItem( skol25( X, Y ) ) }.
% 2.57/2.95 (12109) {G2,W7,D2,L3,V0,M3} R(159,283);r(276) { ! ssList( nil ), skol49 ==>
% 2.57/2.95 nil, singletonP( skol46 ) }.
% 2.57/2.95 (12958) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), ! ssItem( Y ), !
% 2.57/2.95 ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP( cons( Y, X ) )
% 2.57/2.95 }.
% 2.57/2.95 (12975) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList( cons( X,
% 2.57/2.95 nil ) ) }.
% 2.57/2.95 (13003) {G2,W6,D3,L2,V1,M2} Q(12958);f;r(161) { ! ssItem( X ), singletonP(
% 2.57/2.95 cons( X, nil ) ) }.
% 2.57/2.95 (13070) {G3,W5,D3,L2,V2,M2} R(13003,11);r(12975) { ! ssItem( X ), ssItem(
% 2.57/2.95 skol4( Y ) ) }.
% 2.57/2.95 (13168) {G4,W3,D3,L1,V1,M1} R(13070,4869) { ssItem( skol4( X ) ) }.
% 2.57/2.95 (13395) {G5,W5,D4,L1,V1,M1} R(13168,223) { totalorderedP( cons( skol4( X )
% 2.57/2.95 , nil ) ) }.
% 2.57/2.95 (18559) {G2,W8,D2,L3,V0,M3} R(194,547);r(275) { ! ssList( nil ), !
% 2.57/2.95 frontsegP( nil, skol46 ), skol46 ==> nil }.
% 2.57/2.95 (19146) {G6,W6,D2,L3,V1,M3} P(12,13395) { totalorderedP( X ), ! ssList( X )
% 2.57/2.95 , ! singletonP( X ) }.
% 2.57/2.95 (20084) {G3,W6,D2,L2,V0,M2} S(18559);r(161) { ! frontsegP( nil, skol46 ),
% 2.57/2.95 skol46 ==> nil }.
% 2.57/2.95 (20220) {G3,W5,D2,L2,V0,M2} S(12109);r(161) { skol49 ==> nil, singletonP(
% 2.57/2.95 skol46 ) }.
% 2.57/2.95 (20316) {G4,W5,D2,L2,V0,M2} P(20220,281) { segmentP( nil, skol46 ),
% 2.57/2.95 singletonP( skol46 ) }.
% 2.57/2.95 (20604) {G4,W5,D2,L2,V0,M2} P(201,282);d(20084);r(224) { ! frontsegP( nil,
% 2.57/2.95 skol46 ), ! ssList( nil ) }.
% 2.57/2.95 (20609) {G5,W3,D2,L1,V0,M1} S(20604);r(161) { ! frontsegP( nil, skol46 )
% 2.57/2.95 }.
% 2.57/2.95 (20680) {G6,W3,D2,L1,V0,M1} R(202,20609);r(275) { ! skol46 ==> nil }.
% 2.57/2.95 (22350) {G2,W8,D2,L3,V0,M3} R(211,461);r(275) { ! ssList( nil ), ! segmentP
% 2.57/2.95 ( nil, skol46 ), skol46 ==> nil }.
% 2.57/2.95 (22389) {G7,W11,D2,L4,V1,M4} P(211,20680);r(275) { ! X = nil, ! ssList( X )
% 2.57/2.95 , ! segmentP( skol46, X ), ! segmentP( X, skol46 ) }.
% 2.57/2.95 (22662) {G8,W6,D2,L2,V0,M2} Q(22389);d(22350);r(161) { ! segmentP( nil,
% 2.57/2.95 skol46 ), ! segmentP( nil, nil ) }.
% 2.57/2.95 (22681) {G9,W3,D2,L1,V0,M1} S(22662);r(352) { ! segmentP( nil, skol46 ) }.
% 2.57/2.95 (22689) {G10,W2,D2,L1,V0,M1} R(22681,20316) { singletonP( skol46 ) }.
% 2.57/2.95 (34307) {G11,W2,D2,L1,V0,M1} R(19146,22689);r(282) { ! ssList( skol46 ) }.
% 2.57/2.95 (34332) {G12,W0,D0,L0,V0,M0} S(34307);r(275) { }.
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 % SZS output end Refutation
% 2.57/2.95 found a proof!
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Unprocessed initial clauses:
% 2.57/2.95
% 2.57/2.95 (34334) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.57/2.95 , ! X = Y }.
% 2.57/2.95 (34335) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34336) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.57/2.95 (34337) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.57/2.95 (34338) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.57/2.95 (34339) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.57/2.95 , Y ), ssList( skol2( Z, T ) ) }.
% 2.57/2.95 (34340) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.57/2.95 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.57/2.95 (34341) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.57/2.95 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.57/2.95 (34342) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.57/2.95 ) ) }.
% 2.57/2.95 (34343) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.57/2.95 ( X, Y, Z ) ) ) = X }.
% 2.57/2.95 (34344) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.57/2.95 , alpha1( X, Y, Z ) }.
% 2.57/2.95 (34345) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.57/2.95 skol4( Y ) ) }.
% 2.57/2.95 (34346) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.57/2.95 skol4( X ), nil ) = X }.
% 2.57/2.95 (34347) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.57/2.95 nil ) = X, singletonP( X ) }.
% 2.57/2.95 (34348) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.57/2.95 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.57/2.95 (34349) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.57/2.95 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.57/2.95 (34350) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.57/2.95 (34351) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.57/2.95 , Y ), ssList( skol6( Z, T ) ) }.
% 2.57/2.95 (34352) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.57/2.95 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.57/2.95 (34353) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.57/2.95 (34354) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.57/2.95 , Y ), ssList( skol7( Z, T ) ) }.
% 2.57/2.95 (34355) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.57/2.95 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.57/2.95 (34356) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.57/2.95 (34357) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.57/2.95 ) ) }.
% 2.57/2.95 (34358) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.57/2.95 skol8( X, Y, Z ) ) = X }.
% 2.57/2.95 (34359) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.57/2.95 , alpha2( X, Y, Z ) }.
% 2.57/2.95 (34360) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.57/2.95 Y ), alpha3( X, Y ) }.
% 2.57/2.95 (34361) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.57/2.95 cyclefreeP( X ) }.
% 2.57/2.95 (34362) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.57/2.95 cyclefreeP( X ) }.
% 2.57/2.95 (34363) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.57/2.95 , Y, Z ) }.
% 2.57/2.95 (34364) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.57/2.95 (34365) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34366) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.57/2.95 alpha28( X, Y, Z, T ) }.
% 2.57/2.95 (34367) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.57/2.95 Z ) }.
% 2.57/2.95 (34368) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.57/2.95 alpha21( X, Y, Z ) }.
% 2.57/2.95 (34369) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.57/2.95 alpha35( X, Y, Z, T, U ) }.
% 2.57/2.95 (34370) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.57/2.95 X, Y, Z, T ) }.
% 2.57/2.95 (34371) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.57/2.95 ), alpha28( X, Y, Z, T ) }.
% 2.57/2.95 (34372) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.57/2.95 alpha41( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34373) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.57/2.95 alpha35( X, Y, Z, T, U ) }.
% 2.57/2.95 (34374) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.57/2.95 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.57/2.95 (34375) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.57/2.95 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.57/2.95 (34376) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.57/2.95 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34377) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.57/2.95 W ) }.
% 2.57/2.95 (34378) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.57/2.95 X ) }.
% 2.57/2.95 (34379) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.57/2.95 (34380) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.57/2.95 (34381) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.57/2.95 ( Y ), alpha4( X, Y ) }.
% 2.57/2.95 (34382) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.57/2.95 totalorderP( X ) }.
% 2.57/2.95 (34383) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.57/2.95 totalorderP( X ) }.
% 2.57/2.95 (34384) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.57/2.95 , Y, Z ) }.
% 2.57/2.95 (34385) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.57/2.95 (34386) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34387) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.57/2.95 alpha29( X, Y, Z, T ) }.
% 2.57/2.95 (34388) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.57/2.95 Z ) }.
% 2.57/2.95 (34389) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.57/2.95 alpha22( X, Y, Z ) }.
% 2.57/2.95 (34390) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.57/2.95 alpha36( X, Y, Z, T, U ) }.
% 2.57/2.95 (34391) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.57/2.95 X, Y, Z, T ) }.
% 2.57/2.95 (34392) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.57/2.95 ), alpha29( X, Y, Z, T ) }.
% 2.57/2.95 (34393) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.57/2.95 alpha42( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34394) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.57/2.95 alpha36( X, Y, Z, T, U ) }.
% 2.57/2.95 (34395) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.57/2.95 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.57/2.95 (34396) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.57/2.95 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.57/2.95 (34397) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.57/2.95 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34398) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.57/2.95 W ) }.
% 2.57/2.95 (34399) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.57/2.95 }.
% 2.57/2.95 (34400) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.57/2.95 (34401) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.57/2.95 (34402) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.57/2.95 ( Y ), alpha5( X, Y ) }.
% 2.57/2.95 (34403) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.57/2.95 strictorderP( X ) }.
% 2.57/2.95 (34404) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.57/2.95 strictorderP( X ) }.
% 2.57/2.95 (34405) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.57/2.95 , Y, Z ) }.
% 2.57/2.95 (34406) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.57/2.95 (34407) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34408) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.57/2.95 alpha30( X, Y, Z, T ) }.
% 2.57/2.95 (34409) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.57/2.95 Z ) }.
% 2.57/2.95 (34410) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.57/2.95 alpha23( X, Y, Z ) }.
% 2.57/2.95 (34411) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.57/2.95 alpha37( X, Y, Z, T, U ) }.
% 2.57/2.95 (34412) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.57/2.95 X, Y, Z, T ) }.
% 2.57/2.95 (34413) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.57/2.95 ), alpha30( X, Y, Z, T ) }.
% 2.57/2.95 (34414) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.57/2.95 alpha43( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34415) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.57/2.95 alpha37( X, Y, Z, T, U ) }.
% 2.57/2.95 (34416) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.57/2.95 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.57/2.95 (34417) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.57/2.95 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.57/2.95 (34418) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.57/2.95 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34419) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.57/2.95 W ) }.
% 2.57/2.95 (34420) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.57/2.95 }.
% 2.57/2.95 (34421) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.57/2.95 (34422) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.57/2.95 (34423) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.57/2.95 ssItem( Y ), alpha6( X, Y ) }.
% 2.57/2.95 (34424) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.57/2.95 totalorderedP( X ) }.
% 2.57/2.95 (34425) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.57/2.95 totalorderedP( X ) }.
% 2.57/2.95 (34426) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.57/2.95 , Y, Z ) }.
% 2.57/2.95 (34427) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.57/2.95 (34428) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34429) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.57/2.95 alpha24( X, Y, Z, T ) }.
% 2.57/2.95 (34430) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.57/2.95 Z ) }.
% 2.57/2.95 (34431) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.57/2.95 alpha15( X, Y, Z ) }.
% 2.57/2.95 (34432) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.57/2.95 alpha31( X, Y, Z, T, U ) }.
% 2.57/2.95 (34433) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.57/2.95 X, Y, Z, T ) }.
% 2.57/2.95 (34434) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.57/2.95 ), alpha24( X, Y, Z, T ) }.
% 2.57/2.95 (34435) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.57/2.95 alpha38( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34436) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.57/2.95 alpha31( X, Y, Z, T, U ) }.
% 2.57/2.95 (34437) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.57/2.95 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.57/2.95 (34438) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.57/2.95 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.57/2.95 (34439) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.57/2.95 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34440) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.57/2.95 }.
% 2.57/2.95 (34441) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.57/2.95 ssItem( Y ), alpha7( X, Y ) }.
% 2.57/2.95 (34442) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.57/2.95 strictorderedP( X ) }.
% 2.57/2.95 (34443) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.57/2.95 strictorderedP( X ) }.
% 2.57/2.95 (34444) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.57/2.95 , Y, Z ) }.
% 2.57/2.95 (34445) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.57/2.95 (34446) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34447) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.57/2.95 alpha25( X, Y, Z, T ) }.
% 2.57/2.95 (34448) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.57/2.95 Z ) }.
% 2.57/2.95 (34449) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.57/2.95 alpha16( X, Y, Z ) }.
% 2.57/2.95 (34450) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.57/2.95 alpha32( X, Y, Z, T, U ) }.
% 2.57/2.95 (34451) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.57/2.95 X, Y, Z, T ) }.
% 2.57/2.95 (34452) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.57/2.95 ), alpha25( X, Y, Z, T ) }.
% 2.57/2.95 (34453) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.57/2.95 alpha39( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34454) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.57/2.95 alpha32( X, Y, Z, T, U ) }.
% 2.57/2.95 (34455) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.57/2.95 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.57/2.95 (34456) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.57/2.95 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.57/2.95 (34457) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.57/2.95 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34458) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.57/2.95 }.
% 2.57/2.95 (34459) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.57/2.95 ssItem( Y ), alpha8( X, Y ) }.
% 2.57/2.95 (34460) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.57/2.95 duplicatefreeP( X ) }.
% 2.57/2.95 (34461) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.57/2.95 duplicatefreeP( X ) }.
% 2.57/2.95 (34462) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.57/2.95 , Y, Z ) }.
% 2.57/2.95 (34463) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.57/2.95 (34464) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34465) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.57/2.95 alpha26( X, Y, Z, T ) }.
% 2.57/2.95 (34466) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.57/2.95 Z ) }.
% 2.57/2.95 (34467) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.57/2.95 alpha17( X, Y, Z ) }.
% 2.57/2.95 (34468) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.57/2.95 alpha33( X, Y, Z, T, U ) }.
% 2.57/2.95 (34469) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.57/2.95 X, Y, Z, T ) }.
% 2.57/2.95 (34470) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.57/2.95 ), alpha26( X, Y, Z, T ) }.
% 2.57/2.95 (34471) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.57/2.95 alpha40( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34472) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.57/2.95 alpha33( X, Y, Z, T, U ) }.
% 2.57/2.95 (34473) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.57/2.95 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.57/2.95 (34474) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.57/2.95 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.57/2.95 (34475) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.57/2.95 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34476) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.57/2.95 (34477) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.57/2.95 ( Y ), alpha9( X, Y ) }.
% 2.57/2.95 (34478) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.57/2.95 equalelemsP( X ) }.
% 2.57/2.95 (34479) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.57/2.95 equalelemsP( X ) }.
% 2.57/2.95 (34480) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.57/2.95 , Y, Z ) }.
% 2.57/2.95 (34481) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.57/2.95 (34482) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34483) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.57/2.95 alpha27( X, Y, Z, T ) }.
% 2.57/2.95 (34484) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.57/2.95 Z ) }.
% 2.57/2.95 (34485) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.57/2.95 alpha18( X, Y, Z ) }.
% 2.57/2.95 (34486) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.57/2.95 alpha34( X, Y, Z, T, U ) }.
% 2.57/2.95 (34487) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.57/2.95 X, Y, Z, T ) }.
% 2.57/2.95 (34488) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.57/2.95 ), alpha27( X, Y, Z, T ) }.
% 2.57/2.95 (34489) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.57/2.95 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.57/2.95 (34490) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.57/2.95 alpha34( X, Y, Z, T, U ) }.
% 2.57/2.95 (34491) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.57/2.95 (34492) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.57/2.95 , ! X = Y }.
% 2.57/2.95 (34493) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 (34494) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.57/2.95 Y, X ) ) }.
% 2.57/2.95 (34495) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.57/2.95 (34496) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.57/2.95 = X }.
% 2.57/2.95 (34497) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.57/2.95 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.57/2.95 (34498) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.57/2.95 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.57/2.95 (34499) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.57/2.95 ) }.
% 2.57/2.95 (34500) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.57/2.95 ) }.
% 2.57/2.95 (34501) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.57/2.95 skol43( X ) ) = X }.
% 2.57/2.95 (34502) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.57/2.95 Y, X ) }.
% 2.57/2.95 (34503) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.57/2.95 }.
% 2.57/2.95 (34504) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.57/2.95 X ) ) = Y }.
% 2.57/2.95 (34505) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.57/2.95 }.
% 2.57/2.95 (34506) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.57/2.95 X ) ) = X }.
% 2.57/2.95 (34507) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.57/2.95 , Y ) ) }.
% 2.57/2.95 (34508) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.57/2.95 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.57/2.95 (34509) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.57/2.95 (34510) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.57/2.95 , ! leq( Y, X ), X = Y }.
% 2.57/2.95 (34511) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.57/2.95 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.57/2.95 (34512) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.57/2.95 (34513) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.57/2.95 , leq( Y, X ) }.
% 2.57/2.95 (34514) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.57/2.95 , geq( X, Y ) }.
% 2.57/2.95 (34515) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.57/2.95 , ! lt( Y, X ) }.
% 2.57/2.95 (34516) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.57/2.95 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.57/2.95 (34517) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.57/2.95 , lt( Y, X ) }.
% 2.57/2.95 (34518) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.57/2.95 , gt( X, Y ) }.
% 2.57/2.95 (34519) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.57/2.95 (34520) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.57/2.95 (34521) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.57/2.95 (34522) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.57/2.95 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.57/2.95 (34523) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.57/2.95 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.57/2.95 (34524) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.57/2.95 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.57/2.95 (34525) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.57/2.95 (34526) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.57/2.95 (34527) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.57/2.95 (34528) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.57/2.95 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.57/2.95 (34529) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.57/2.95 (34530) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.57/2.95 (34531) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.57/2.95 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.57/2.95 (34532) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.57/2.95 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.57/2.95 , T ) }.
% 2.57/2.95 (34533) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.57/2.95 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.57/2.95 cons( Y, T ) ) }.
% 2.57/2.95 (34534) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.57/2.95 (34535) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.57/2.95 X }.
% 2.57/2.95 (34536) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.57/2.95 ) }.
% 2.57/2.95 (34537) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.57/2.95 (34538) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.57/2.95 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.57/2.95 (34539) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.57/2.95 (34540) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.57/2.95 (34541) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.57/2.95 (34542) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.57/2.95 }.
% 2.57/2.95 (34543) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.57/2.95 }.
% 2.57/2.95 (34544) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.57/2.95 (34545) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.57/2.95 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.57/2.95 (34546) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.57/2.95 (34547) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.57/2.95 }.
% 2.57/2.95 (34548) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.57/2.95 (34549) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.57/2.95 }.
% 2.57/2.95 (34550) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.57/2.95 }.
% 2.57/2.95 (34551) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.57/2.95 }.
% 2.57/2.95 (34552) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.57/2.95 (34553) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.57/2.95 }.
% 2.57/2.95 (34554) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.57/2.95 (34555) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.57/2.95 ) }.
% 2.57/2.95 (34556) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.57/2.95 (34557) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.57/2.95 ) }.
% 2.57/2.95 (34558) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.57/2.95 (34559) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.57/2.95 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.57/2.95 (34560) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.57/2.95 totalorderedP( cons( X, Y ) ) }.
% 2.57/2.95 (34561) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.57/2.95 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.57/2.95 (34562) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.57/2.95 (34563) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.57/2.95 (34564) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.57/2.95 }.
% 2.57/2.95 (34565) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.57/2.95 (34566) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.57/2.95 (34567) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.57/2.95 alpha19( X, Y ) }.
% 2.57/2.95 (34568) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.57/2.95 ) ) }.
% 2.57/2.95 (34569) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.57/2.95 (34570) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.57/2.95 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.57/2.95 (34571) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.57/2.95 strictorderedP( cons( X, Y ) ) }.
% 2.57/2.95 (34572) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.57/2.95 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.57/2.95 (34573) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.57/2.95 (34574) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.57/2.95 (34575) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.57/2.95 }.
% 2.57/2.95 (34576) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.57/2.95 (34577) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.57/2.95 (34578) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.57/2.95 alpha20( X, Y ) }.
% 2.57/2.95 (34579) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.57/2.95 ) ) }.
% 2.57/2.95 (34580) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.57/2.95 (34581) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.57/2.95 }.
% 2.57/2.95 (34582) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.57/2.95 (34583) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.57/2.95 ) }.
% 2.57/2.95 (34584) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.57/2.95 ) }.
% 2.57/2.95 (34585) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.57/2.95 ) }.
% 2.57/2.95 (34586) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.57/2.95 ) }.
% 2.57/2.95 (34587) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.57/2.95 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.57/2.95 (34588) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.57/2.95 X ) ) = X }.
% 2.57/2.95 (34589) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.57/2.95 (34590) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.57/2.95 (34591) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.57/2.95 = app( cons( Y, nil ), X ) }.
% 2.57/2.95 (34592) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.57/2.95 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.57/2.95 (34593) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.57/2.95 X, Y ), nil = Y }.
% 2.57/2.95 (34594) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.57/2.95 X, Y ), nil = X }.
% 2.57/2.95 (34595) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.57/2.95 nil = X, nil = app( X, Y ) }.
% 2.57/2.95 (34596) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.57/2.95 (34597) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.57/2.95 app( X, Y ) ) = hd( X ) }.
% 2.57/2.95 (34598) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.57/2.95 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.57/2.95 (34599) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.57/2.95 , ! geq( Y, X ), X = Y }.
% 2.57/2.95 (34600) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.57/2.95 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.57/2.95 (34601) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.57/2.95 (34602) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.57/2.95 (34603) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.57/2.95 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.57/2.95 (34604) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.57/2.95 , X = Y, lt( X, Y ) }.
% 2.57/2.95 (34605) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.57/2.95 , ! X = Y }.
% 2.57/2.95 (34606) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.57/2.95 , leq( X, Y ) }.
% 2.57/2.95 (34607) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.57/2.95 ( X, Y ), lt( X, Y ) }.
% 2.57/2.95 (34608) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.57/2.95 , ! gt( Y, X ) }.
% 2.57/2.95 (34609) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.57/2.95 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.57/2.95 (34610) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.57/2.95 (34611) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.57/2.95 (34612) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.57/2.95 (34613) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.57/2.95 (34614) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.57/2.95 (34615) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.57/2.95 (34616) {G0,W3,D2,L1,V0,M1} { segmentP( skol51, skol50 ) }.
% 2.57/2.95 (34617) {G0,W2,D2,L1,V0,M1} { ! totalorderedP( skol46 ) }.
% 2.57/2.95 (34618) {G0,W5,D2,L2,V0,M2} { singletonP( skol50 ), ! neq( skol51, nil )
% 2.57/2.95 }.
% 2.57/2.95
% 2.57/2.95
% 2.57/2.95 Total Proof:
% 2.57/2.95
% 2.57/2.95 subsumption: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X )
% 2.57/2.95 , ssItem( skol4( Y ) ) }.
% 2.57/2.95 parent0: (34345) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ),
% 2.57/2.95 ssItem( skol4( Y ) ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 Y := Y
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 2.57/2.95 , cons( skol4( X ), nil ) ==> X }.
% 2.57/2.95 parent0: (34346) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ),
% 2.57/2.95 cons( skol4( X ), nil ) = X }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 2.57/2.95 cons( Y, nil ) = X, singletonP( X ) }.
% 2.57/2.95 parent0: (34347) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), !
% 2.57/2.95 cons( Y, nil ) = X, singletonP( X ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 Y := Y
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 3 ==> 3
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X,
% 2.57/2.95 skol24( X ) ), totalorderedP( X ) }.
% 2.57/2.95 parent0: (34425) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24
% 2.57/2.95 ( X ) ), totalorderedP( X ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6
% 2.57/2.95 ( X, Y ) }.
% 2.57/2.95 parent0: (34427) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X
% 2.57/2.95 , Y ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 Y := Y
% 2.57/2.95 Z := Z
% 2.57/2.95 T := T
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 2.57/2.95 = Y, neq( X, Y ) }.
% 2.57/2.95 parent0: (34493) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 2.57/2.95 Y, neq( X, Y ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 Y := Y
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 3 ==> 3
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.57/2.95 ssList( cons( Y, X ) ) }.
% 2.57/2.95 parent0: (34494) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ),
% 2.57/2.95 ssList( cons( Y, X ) ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 Y := Y
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.57/2.95 parent0: (34495) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 2.57/2.95 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.57/2.95 parent0: (34528) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 2.57/2.95 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 Y := Y
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 3 ==> 3
% 2.57/2.95 4 ==> 4
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil
% 2.57/2.95 ) }.
% 2.57/2.95 parent0: (34534) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil )
% 2.57/2.95 }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (201) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! frontsegP( nil
% 2.57/2.95 , X ), nil = X }.
% 2.57/2.95 parent0: (34535) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X
% 2.57/2.95 ), nil = X }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X,
% 2.57/2.95 frontsegP( nil, X ) }.
% 2.57/2.95 parent0: (34536) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP
% 2.57/2.95 ( nil, X ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 2.57/2.95 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 2.57/2.95 parent0: (34545) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 2.57/2.95 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 Y := Y
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 2 ==> 2
% 2.57/2.95 3 ==> 3
% 2.57/2.95 4 ==> 4
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil
% 2.57/2.95 ) }.
% 2.57/2.95 parent0: (34548) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil )
% 2.57/2.95 }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.95 end
% 2.57/2.95
% 2.57/2.95 subsumption: (216) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X,
% 2.57/2.95 segmentP( nil, X ) }.
% 2.57/2.95 parent0: (34550) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP
% 2.57/2.95 ( nil, X ) }.
% 2.57/2.95 substitution0:
% 2.57/2.95 X := X
% 2.57/2.95 end
% 2.57/2.95 permutation0:
% 2.57/2.95 0 ==> 0
% 2.57/2.95 1 ==> 1
% 2.57/2.97 2 ==> 2
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP(
% 2.57/2.97 cons( X, nil ) ) }.
% 2.57/2.97 parent0: (34557) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons
% 2.57/2.97 ( X, nil ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 1 ==> 1
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 2.57/2.97 parent0: (34558) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.57/2.97 parent0: (34610) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.57/2.97 parent0: (34611) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (37576) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.57/2.97 parent0[0]: (34614) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.57/2.97 parent0: (37576) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (37924) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.57/2.97 parent0[0]: (34615) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.57/2.97 parent0: (37924) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 paramod: (38849) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol50 ) }.
% 2.57/2.97 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.57/2.97 parent1[0; 1]: (34616) {G0,W3,D2,L1,V0,M1} { segmentP( skol51, skol50 )
% 2.57/2.97 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 paramod: (38850) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol46 ) }.
% 2.57/2.97 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.57/2.97 parent1[0; 2]: (38849) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol50 )
% 2.57/2.97 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49,
% 2.57/2.97 skol46 ) }.
% 2.57/2.97 parent0: (38850) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.57/2.97 parent0: (34617) {G0,W2,D2,L1,V0,M1} { ! totalorderedP( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 paramod: (40129) {G1,W5,D2,L2,V0,M2} { singletonP( skol46 ), ! neq( skol51
% 2.57/2.97 , nil ) }.
% 2.57/2.97 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.57/2.97 parent1[0; 1]: (34618) {G0,W5,D2,L2,V0,M2} { singletonP( skol50 ), ! neq(
% 2.57/2.97 skol51, nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 paramod: (40130) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), singletonP(
% 2.57/2.97 skol46 ) }.
% 2.57/2.97 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.57/2.97 parent1[1; 2]: (40129) {G1,W5,D2,L2,V0,M2} { singletonP( skol46 ), ! neq(
% 2.57/2.97 skol51, nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (283) {G1,W5,D2,L2,V0,M2} I;d(280);d(279) { singletonP( skol46
% 2.57/2.97 ), ! neq( skol49, nil ) }.
% 2.57/2.97 parent0: (40130) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), singletonP(
% 2.57/2.97 skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 1
% 2.57/2.97 1 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (40131) {G0,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ), segmentP(
% 2.57/2.97 nil, X ) }.
% 2.57/2.97 parent0[1]: (216) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X,
% 2.57/2.97 segmentP( nil, X ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqrefl: (40132) {G0,W5,D2,L2,V0,M2} { ! ssList( nil ), segmentP( nil, nil
% 2.57/2.97 ) }.
% 2.57/2.97 parent0[0]: (40131) {G0,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ),
% 2.57/2.97 segmentP( nil, X ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := nil
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40133) {G1,W3,D2,L1,V0,M1} { segmentP( nil, nil ) }.
% 2.57/2.97 parent0[0]: (40132) {G0,W5,D2,L2,V0,M2} { ! ssList( nil ), segmentP( nil,
% 2.57/2.97 nil ) }.
% 2.57/2.97 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (352) {G1,W3,D2,L1,V0,M1} Q(216);r(161) { segmentP( nil, nil )
% 2.57/2.97 }.
% 2.57/2.97 parent0: (40133) {G1,W3,D2,L1,V0,M1} { segmentP( nil, nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40134) {G1,W3,D2,L1,V0,M1} { segmentP( skol46, nil ) }.
% 2.57/2.97 parent0[0]: (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil )
% 2.57/2.97 }.
% 2.57/2.97 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := skol46
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (461) {G1,W3,D2,L1,V0,M1} R(214,275) { segmentP( skol46, nil )
% 2.57/2.97 }.
% 2.57/2.97 parent0: (40134) {G1,W3,D2,L1,V0,M1} { segmentP( skol46, nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40135) {G1,W3,D2,L1,V0,M1} { frontsegP( skol46, nil ) }.
% 2.57/2.97 parent0[0]: (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil
% 2.57/2.97 ) }.
% 2.57/2.97 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := skol46
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (547) {G1,W3,D2,L1,V0,M1} R(200,275) { frontsegP( skol46, nil
% 2.57/2.97 ) }.
% 2.57/2.97 parent0: (40135) {G1,W3,D2,L1,V0,M1} { frontsegP( skol46, nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40136) {G1,W6,D3,L2,V0,M2} { ! alpha6( skol46, skol24( skol46
% 2.57/2.97 ) ), totalorderedP( skol46 ) }.
% 2.57/2.97 parent0[0]: (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X, skol24
% 2.57/2.97 ( X ) ), totalorderedP( X ) }.
% 2.57/2.97 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := skol46
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40137) {G1,W4,D3,L1,V0,M1} { ! alpha6( skol46, skol24( skol46
% 2.57/2.97 ) ) }.
% 2.57/2.97 parent0[0]: (282) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.57/2.97 parent1[1]: (40136) {G1,W6,D3,L2,V0,M2} { ! alpha6( skol46, skol24( skol46
% 2.57/2.97 ) ), totalorderedP( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (4822) {G1,W4,D3,L1,V0,M1} R(91,275);r(282) { ! alpha6( skol46
% 2.57/2.97 , skol24( skol46 ) ) }.
% 2.57/2.97 parent0: (40137) {G1,W4,D3,L1,V0,M1} { ! alpha6( skol46, skol24( skol46 )
% 2.57/2.97 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40138) {G1,W4,D3,L1,V2,M1} { ssItem( skol25( X, Y ) ) }.
% 2.57/2.97 parent0[0]: (4822) {G1,W4,D3,L1,V0,M1} R(91,275);r(282) { ! alpha6( skol46
% 2.57/2.97 , skol24( skol46 ) ) }.
% 2.57/2.97 parent1[1]: (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6(
% 2.57/2.97 X, Y ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := skol46
% 2.57/2.97 Y := skol24( skol46 )
% 2.57/2.97 Z := X
% 2.57/2.97 T := Y
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (4869) {G2,W4,D3,L1,V2,M1} R(93,4822) { ssItem( skol25( X, Y )
% 2.57/2.97 ) }.
% 2.57/2.97 parent0: (40138) {G1,W4,D3,L1,V2,M1} { ssItem( skol25( X, Y ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 Y := Y
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (40139) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList( Y )
% 2.57/2.97 , neq( X, Y ) }.
% 2.57/2.97 parent0[2]: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 2.57/2.97 = Y, neq( X, Y ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 Y := Y
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40140) {G1,W9,D2,L4,V0,M4} { singletonP( skol46 ), nil =
% 2.57/2.97 skol49, ! ssList( skol49 ), ! ssList( nil ) }.
% 2.57/2.97 parent0[1]: (283) {G1,W5,D2,L2,V0,M2} I;d(280);d(279) { singletonP( skol46
% 2.57/2.97 ), ! neq( skol49, nil ) }.
% 2.57/2.97 parent1[3]: (40139) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList
% 2.57/2.97 ( Y ), neq( X, Y ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := skol49
% 2.57/2.97 Y := nil
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40141) {G1,W7,D2,L3,V0,M3} { singletonP( skol46 ), nil =
% 2.57/2.97 skol49, ! ssList( nil ) }.
% 2.57/2.97 parent0[2]: (40140) {G1,W9,D2,L4,V0,M4} { singletonP( skol46 ), nil =
% 2.57/2.97 skol49, ! ssList( skol49 ), ! ssList( nil ) }.
% 2.57/2.97 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (40142) {G1,W7,D2,L3,V0,M3} { skol49 = nil, singletonP( skol46 ),
% 2.57/2.97 ! ssList( nil ) }.
% 2.57/2.97 parent0[1]: (40141) {G1,W7,D2,L3,V0,M3} { singletonP( skol46 ), nil =
% 2.57/2.97 skol49, ! ssList( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (12109) {G2,W7,D2,L3,V0,M3} R(159,283);r(276) { ! ssList( nil
% 2.57/2.97 ), skol49 ==> nil, singletonP( skol46 ) }.
% 2.57/2.97 parent0: (40142) {G1,W7,D2,L3,V0,M3} { skol49 = nil, singletonP( skol46 )
% 2.57/2.97 , ! ssList( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 1
% 2.57/2.97 1 ==> 2
% 2.57/2.97 2 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (40143) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList( Y )
% 2.57/2.97 , ! ssItem( X ), singletonP( Y ) }.
% 2.57/2.97 parent0[2]: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 2.57/2.97 cons( Y, nil ) = X, singletonP( X ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := Y
% 2.57/2.97 Y := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40144) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 2.57/2.97 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.57/2.97 }.
% 2.57/2.97 parent0[1]: (40143) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList
% 2.57/2.97 ( Y ), ! ssItem( X ), singletonP( Y ) }.
% 2.57/2.97 parent1[2]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.57/2.97 ssList( cons( Y, X ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := Z
% 2.57/2.97 Y := cons( X, Y )
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := Y
% 2.57/2.97 Y := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (40145) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 2.57/2.97 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X ) }.
% 2.57/2.97 parent0[0]: (40144) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 2.57/2.97 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.57/2.97 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 Y := Y
% 2.57/2.97 Z := Z
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (12958) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 2.57/2.97 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 2.57/2.97 cons( Y, X ) ) }.
% 2.57/2.97 parent0: (40145) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 2.57/2.97 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.57/2.97 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := Y
% 2.57/2.97 Y := X
% 2.57/2.97 Z := Z
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 3
% 2.57/2.97 1 ==> 2
% 2.57/2.97 2 ==> 4
% 2.57/2.97 3 ==> 0
% 2.57/2.97 4 ==> 1
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40148) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X,
% 2.57/2.97 nil ) ) }.
% 2.57/2.97 parent0[0]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.57/2.97 ssList( cons( Y, X ) ) }.
% 2.57/2.97 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := nil
% 2.57/2.97 Y := X
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (12975) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 2.57/2.97 ( cons( X, nil ) ) }.
% 2.57/2.97 parent0: (40148) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X, nil
% 2.57/2.97 ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 1 ==> 1
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (40149) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil ), !
% 2.57/2.97 ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) ) }.
% 2.57/2.97 parent0[3]: (12958) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 2.57/2.97 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 2.57/2.97 cons( Y, X ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := Z
% 2.57/2.97 Y := Y
% 2.57/2.97 Z := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqrefl: (40150) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X ), !
% 2.57/2.97 ssItem( X ), singletonP( cons( X, nil ) ) }.
% 2.57/2.97 parent0[0]: (40149) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil )
% 2.57/2.97 , ! ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) )
% 2.57/2.97 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 Y := X
% 2.57/2.97 Z := nil
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40152) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X ),
% 2.57/2.97 singletonP( cons( X, nil ) ) }.
% 2.57/2.97 parent0[0]: (40150) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X )
% 2.57/2.97 , ! ssItem( X ), singletonP( cons( X, nil ) ) }.
% 2.57/2.97 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 factor: (40153) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X,
% 2.57/2.97 nil ) ) }.
% 2.57/2.97 parent0[0, 1]: (40152) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X )
% 2.57/2.97 , singletonP( cons( X, nil ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (13003) {G2,W6,D3,L2,V1,M2} Q(12958);f;r(161) { ! ssItem( X )
% 2.57/2.97 , singletonP( cons( X, nil ) ) }.
% 2.57/2.97 parent0: (40153) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X
% 2.57/2.97 , nil ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 1 ==> 1
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40155) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 2.57/2.97 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 2.57/2.97 parent0[1]: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ),
% 2.57/2.97 ssItem( skol4( Y ) ) }.
% 2.57/2.97 parent1[1]: (13003) {G2,W6,D3,L2,V1,M2} Q(12958);f;r(161) { ! ssItem( X ),
% 2.57/2.97 singletonP( cons( X, nil ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := cons( X, nil )
% 2.57/2.97 Y := Y
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40156) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), ! ssItem(
% 2.57/2.97 X ), ! ssItem( X ) }.
% 2.57/2.97 parent0[0]: (40155) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 2.57/2.97 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 2.57/2.97 parent1[1]: (12975) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 2.57/2.97 ( cons( X, nil ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 Y := Y
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 factor: (40157) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 2.57/2.97 }.
% 2.57/2.97 parent0[1, 2]: (40156) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), !
% 2.57/2.97 ssItem( X ), ! ssItem( X ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := Y
% 2.57/2.97 Y := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (13070) {G3,W5,D3,L2,V2,M2} R(13003,11);r(12975) { ! ssItem( X
% 2.57/2.97 ), ssItem( skol4( Y ) ) }.
% 2.57/2.97 parent0: (40157) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 2.57/2.97 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := Y
% 2.57/2.97 Y := X
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 1
% 2.57/2.97 1 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40158) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 2.57/2.97 parent0[0]: (13070) {G3,W5,D3,L2,V2,M2} R(13003,11);r(12975) { ! ssItem( X
% 2.57/2.97 ), ssItem( skol4( Y ) ) }.
% 2.57/2.97 parent1[0]: (4869) {G2,W4,D3,L1,V2,M1} R(93,4822) { ssItem( skol25( X, Y )
% 2.57/2.97 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := skol25( X, Y )
% 2.57/2.97 Y := Z
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := X
% 2.57/2.97 Y := Y
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (13168) {G4,W3,D3,L1,V1,M1} R(13070,4869) { ssItem( skol4( X )
% 2.57/2.97 ) }.
% 2.57/2.97 parent0: (40158) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := Y
% 2.57/2.97 Y := Z
% 2.57/2.97 Z := X
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40159) {G1,W5,D4,L1,V1,M1} { totalorderedP( cons( skol4( X )
% 2.57/2.97 , nil ) ) }.
% 2.57/2.97 parent0[0]: (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP(
% 2.57/2.97 cons( X, nil ) ) }.
% 2.57/2.97 parent1[0]: (13168) {G4,W3,D3,L1,V1,M1} R(13070,4869) { ssItem( skol4( X )
% 2.57/2.97 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := skol4( X )
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (13395) {G5,W5,D4,L1,V1,M1} R(13168,223) { totalorderedP( cons
% 2.57/2.97 ( skol4( X ), nil ) ) }.
% 2.57/2.97 parent0: (40159) {G1,W5,D4,L1,V1,M1} { totalorderedP( cons( skol4( X ),
% 2.57/2.97 nil ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40160) {G1,W10,D2,L4,V0,M4} { ! ssList( skol46 ), ! ssList(
% 2.57/2.97 nil ), ! frontsegP( nil, skol46 ), skol46 = nil }.
% 2.57/2.97 parent0[2]: (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 2.57/2.97 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.57/2.97 parent1[0]: (547) {G1,W3,D2,L1,V0,M1} R(200,275) { frontsegP( skol46, nil )
% 2.57/2.97 }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := skol46
% 2.57/2.97 Y := nil
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40162) {G1,W8,D2,L3,V0,M3} { ! ssList( nil ), ! frontsegP(
% 2.57/2.97 nil, skol46 ), skol46 = nil }.
% 2.57/2.97 parent0[0]: (40160) {G1,W10,D2,L4,V0,M4} { ! ssList( skol46 ), ! ssList(
% 2.57/2.97 nil ), ! frontsegP( nil, skol46 ), skol46 = nil }.
% 2.57/2.97 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (18559) {G2,W8,D2,L3,V0,M3} R(194,547);r(275) { ! ssList( nil
% 2.57/2.97 ), ! frontsegP( nil, skol46 ), skol46 ==> nil }.
% 2.57/2.97 parent0: (40162) {G1,W8,D2,L3,V0,M3} { ! ssList( nil ), ! frontsegP( nil,
% 2.57/2.97 skol46 ), skol46 = nil }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 1 ==> 1
% 2.57/2.97 2 ==> 2
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 paramod: (40165) {G1,W6,D2,L3,V1,M3} { totalorderedP( X ), ! ssList( X ),
% 2.57/2.97 ! singletonP( X ) }.
% 2.57/2.97 parent0[2]: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 2.57/2.97 , cons( skol4( X ), nil ) ==> X }.
% 2.57/2.97 parent1[0; 1]: (13395) {G5,W5,D4,L1,V1,M1} R(13168,223) { totalorderedP(
% 2.57/2.97 cons( skol4( X ), nil ) ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (19146) {G6,W6,D2,L3,V1,M3} P(12,13395) { totalorderedP( X ),
% 2.57/2.97 ! ssList( X ), ! singletonP( X ) }.
% 2.57/2.97 parent0: (40165) {G1,W6,D2,L3,V1,M3} { totalorderedP( X ), ! ssList( X ),
% 2.57/2.97 ! singletonP( X ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 1 ==> 1
% 2.57/2.97 2 ==> 2
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40167) {G1,W6,D2,L2,V0,M2} { ! frontsegP( nil, skol46 ),
% 2.57/2.97 skol46 ==> nil }.
% 2.57/2.97 parent0[0]: (18559) {G2,W8,D2,L3,V0,M3} R(194,547);r(275) { ! ssList( nil )
% 2.57/2.97 , ! frontsegP( nil, skol46 ), skol46 ==> nil }.
% 2.57/2.97 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (20084) {G3,W6,D2,L2,V0,M2} S(18559);r(161) { ! frontsegP( nil
% 2.57/2.97 , skol46 ), skol46 ==> nil }.
% 2.57/2.97 parent0: (40167) {G1,W6,D2,L2,V0,M2} { ! frontsegP( nil, skol46 ), skol46
% 2.57/2.97 ==> nil }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 1 ==> 1
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40170) {G1,W5,D2,L2,V0,M2} { skol49 ==> nil, singletonP(
% 2.57/2.97 skol46 ) }.
% 2.57/2.97 parent0[0]: (12109) {G2,W7,D2,L3,V0,M3} R(159,283);r(276) { ! ssList( nil )
% 2.57/2.97 , skol49 ==> nil, singletonP( skol46 ) }.
% 2.57/2.97 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (20220) {G3,W5,D2,L2,V0,M2} S(12109);r(161) { skol49 ==> nil,
% 2.57/2.97 singletonP( skol46 ) }.
% 2.57/2.97 parent0: (40170) {G1,W5,D2,L2,V0,M2} { skol49 ==> nil, singletonP( skol46
% 2.57/2.97 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 1 ==> 1
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 paramod: (40173) {G2,W5,D2,L2,V0,M2} { segmentP( nil, skol46 ), singletonP
% 2.57/2.97 ( skol46 ) }.
% 2.57/2.97 parent0[0]: (20220) {G3,W5,D2,L2,V0,M2} S(12109);r(161) { skol49 ==> nil,
% 2.57/2.97 singletonP( skol46 ) }.
% 2.57/2.97 parent1[0; 1]: (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49
% 2.57/2.97 , skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (20316) {G4,W5,D2,L2,V0,M2} P(20220,281) { segmentP( nil,
% 2.57/2.97 skol46 ), singletonP( skol46 ) }.
% 2.57/2.97 parent0: (40173) {G2,W5,D2,L2,V0,M2} { segmentP( nil, skol46 ), singletonP
% 2.57/2.97 ( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 1 ==> 1
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (40174) {G0,W8,D2,L3,V1,M3} { X = nil, ! ssList( X ), ! frontsegP
% 2.57/2.97 ( nil, X ) }.
% 2.57/2.97 parent0[2]: (201) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! frontsegP( nil,
% 2.57/2.97 X ), nil = X }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 paramod: (40176) {G1,W7,D2,L3,V0,M3} { ! totalorderedP( nil ), ! ssList(
% 2.57/2.97 skol46 ), ! frontsegP( nil, skol46 ) }.
% 2.57/2.97 parent0[0]: (40174) {G0,W8,D2,L3,V1,M3} { X = nil, ! ssList( X ), !
% 2.57/2.97 frontsegP( nil, X ) }.
% 2.57/2.97 parent1[0; 2]: (282) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := skol46
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 paramod: (40262) {G2,W10,D2,L4,V0,M4} { ! ssList( nil ), ! frontsegP( nil
% 2.57/2.97 , skol46 ), ! totalorderedP( nil ), ! frontsegP( nil, skol46 ) }.
% 2.57/2.97 parent0[1]: (20084) {G3,W6,D2,L2,V0,M2} S(18559);r(161) { ! frontsegP( nil
% 2.57/2.97 , skol46 ), skol46 ==> nil }.
% 2.57/2.97 parent1[1; 2]: (40176) {G1,W7,D2,L3,V0,M3} { ! totalorderedP( nil ), !
% 2.57/2.97 ssList( skol46 ), ! frontsegP( nil, skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 factor: (40275) {G2,W7,D2,L3,V0,M3} { ! ssList( nil ), ! frontsegP( nil,
% 2.57/2.97 skol46 ), ! totalorderedP( nil ) }.
% 2.57/2.97 parent0[1, 3]: (40262) {G2,W10,D2,L4,V0,M4} { ! ssList( nil ), ! frontsegP
% 2.57/2.97 ( nil, skol46 ), ! totalorderedP( nil ), ! frontsegP( nil, skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40344) {G1,W5,D2,L2,V0,M2} { ! ssList( nil ), ! frontsegP(
% 2.57/2.97 nil, skol46 ) }.
% 2.57/2.97 parent0[2]: (40275) {G2,W7,D2,L3,V0,M3} { ! ssList( nil ), ! frontsegP(
% 2.57/2.97 nil, skol46 ), ! totalorderedP( nil ) }.
% 2.57/2.97 parent1[0]: (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (20604) {G4,W5,D2,L2,V0,M2} P(201,282);d(20084);r(224) { !
% 2.57/2.97 frontsegP( nil, skol46 ), ! ssList( nil ) }.
% 2.57/2.97 parent0: (40344) {G1,W5,D2,L2,V0,M2} { ! ssList( nil ), ! frontsegP( nil,
% 2.57/2.97 skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 1
% 2.57/2.97 1 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40345) {G1,W3,D2,L1,V0,M1} { ! frontsegP( nil, skol46 ) }.
% 2.57/2.97 parent0[1]: (20604) {G4,W5,D2,L2,V0,M2} P(201,282);d(20084);r(224) { !
% 2.57/2.97 frontsegP( nil, skol46 ), ! ssList( nil ) }.
% 2.57/2.97 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 subsumption: (20609) {G5,W3,D2,L1,V0,M1} S(20604);r(161) { ! frontsegP( nil
% 2.57/2.97 , skol46 ) }.
% 2.57/2.97 parent0: (40345) {G1,W3,D2,L1,V0,M1} { ! frontsegP( nil, skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 permutation0:
% 2.57/2.97 0 ==> 0
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 eqswap: (40346) {G0,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ), frontsegP
% 2.57/2.97 ( nil, X ) }.
% 2.57/2.97 parent0[1]: (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X,
% 2.57/2.97 frontsegP( nil, X ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 X := X
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40347) {G1,W5,D2,L2,V0,M2} { ! skol46 = nil, ! ssList( skol46
% 2.57/2.97 ) }.
% 2.57/2.97 parent0[0]: (20609) {G5,W3,D2,L1,V0,M1} S(20604);r(161) { ! frontsegP( nil
% 2.57/2.97 , skol46 ) }.
% 2.57/2.97 parent1[2]: (40346) {G0,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ),
% 2.57/2.97 frontsegP( nil, X ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 substitution1:
% 2.57/2.97 X := skol46
% 2.57/2.97 end
% 2.57/2.97
% 2.57/2.97 resolution: (40348) {G1,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 2.57/2.97 parent0[1]: (40347) {G1,W5,D2,L2,V0,M2} { ! skol46 = nil, ! ssList( skol46
% 2.57/2.97 ) }.
% 2.57/2.97 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.57/2.97 substitution0:
% 2.57/2.97 end
% 2.57/2.97 subCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------