TSTP Solution File: SWC028+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC028+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:07 EDT 2022
% Result : Theorem 3.63s 4.00s
% Output : Refutation 3.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC028+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 12 06:19:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.16 *** allocated 10000 integers for termspace/termends
% 0.46/1.16 *** allocated 10000 integers for clauses
% 0.46/1.16 *** allocated 10000 integers for justifications
% 0.46/1.16 Bliksem 1.12
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 Automatic Strategy Selection
% 0.46/1.16
% 0.46/1.16 *** allocated 15000 integers for termspace/termends
% 0.46/1.16
% 0.46/1.16 Clauses:
% 0.46/1.16
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.46/1.16 { ssItem( skol1 ) }.
% 0.46/1.16 { ssItem( skol47 ) }.
% 0.46/1.16 { ! skol1 = skol47 }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.46/1.16 Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.46/1.16 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.46/1.16 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.46/1.16 ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.46/1.16 ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.46/1.16 = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.46/1.16 , Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.46/1.16 segmentP( X, Y ) }.
% 0.46/1.16 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.46/1.16 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.46/1.16 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.46/1.16 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.46/1.16 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.46/1.16 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha12( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.46/1.16 { leq( X, Y ), alpha12( X, Y ) }.
% 0.46/1.16 { leq( Y, X ), alpha12( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.46/1.16 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.46/1.16 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.46/1.16 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha13( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.46/1.16 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.46/1.16 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.46/1.16 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.46/1.16 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.46/1.16 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha14( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.46/1.16 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.46/1.16 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.46/1.16 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.46/1.16 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.46/1.16 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, leq( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.46/1.16 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.46/1.16 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.46/1.16 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, lt( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.46/1.16 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.46/1.16 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.46/1.16 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, ! Y = Z }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.46/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.46/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.46/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.46/1.16 Z }.
% 0.46/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.46/1.16 { ssList( nil ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.46/1.16 ) = cons( T, Y ), Z = T }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.46/1.16 ) = cons( T, Y ), Y = X }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.46/1.16 ( cons( Z, Y ), X ) }.
% 0.46/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.46/1.16 , leq( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.46/1.16 lt( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.46/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.46/1.16 app( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.46/1.16 app( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.46/1.16 , X = Y, memberP( Z, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.46/1.16 ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.46/1.16 cons( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.46/1.16 { ! singletonP( nil ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.46/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.46/1.16 = Y }.
% 0.46/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.46/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.46/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.46/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.46/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.46/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.46/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.46/1.16 Y }.
% 0.46/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.46/1.16 ( app( Z, X ), Y ) }.
% 0.46/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.46/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.46/1.16 Y }.
% 0.46/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.46/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.46/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.46/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.46/1.16 { cyclefreeP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.46/1.16 { totalorderP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.46/1.16 { strictorderP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.46/1.16 { totalorderedP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.46/1.16 alpha10( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.46/1.16 .
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.46/1.16 Y ) ) }.
% 0.46/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.46/1.17 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.46/1.17 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.46/1.17 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.46/1.17 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.46/1.17 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.46/1.17 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.46/1.17 { strictorderedP( nil ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.46/1.17 alpha11( X, Y ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.46/1.17 .
% 0.46/1.17 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.46/1.17 , Y ) ) }.
% 0.46/1.17 { ! alpha11( X, Y ), ! nil = Y }.
% 0.46/1.17 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.46/1.17 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.46/1.17 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.46/1.17 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.46/1.17 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.46/1.17 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.46/1.17 { duplicatefreeP( nil ) }.
% 0.46/1.17 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.46/1.17 { equalelemsP( nil ) }.
% 0.46/1.17 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.46/1.17 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.46/1.17 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.46/1.17 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.46/1.17 ( Y ) = tl( X ), Y = X }.
% 0.46/1.17 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.46/1.17 , Z = X }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.46/1.17 , Z = X }.
% 0.46/1.17 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.46/1.17 ( X, app( Y, Z ) ) }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.46/1.17 { ! ssList( X ), app( X, nil ) = X }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.46/1.17 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.46/1.17 Y ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.46/1.17 , geq( X, Z ) }.
% 0.46/1.17 { ! ssItem( X ), geq( X, X ) }.
% 0.46/1.17 { ! ssItem( X ), ! lt( X, X ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.46/1.17 , lt( X, Z ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.46/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.46/1.17 gt( X, Z ) }.
% 0.46/1.17 { ssList( skol46 ) }.
% 0.46/1.17 { ssList( skol49 ) }.
% 0.46/1.17 { ssList( skol50 ) }.
% 0.46/1.17 { ssList( skol51 ) }.
% 0.46/1.17 { skol49 = skol51 }.
% 0.46/1.17 { skol46 = skol50 }.
% 0.46/1.17 { alpha44( skol46, skol49 ) }.
% 0.46/1.17 { alpha45( skol50, skol51 ), neq( skol50, nil ) }.
% 0.46/1.17 { alpha45( skol50, skol51 ), rearsegP( skol51, skol50 ) }.
% 0.46/1.17 { ! alpha45( X, Y ), nil = Y }.
% 0.46/1.17 { ! alpha45( X, Y ), nil = X }.
% 0.46/1.17 { ! nil = Y, ! nil = X, alpha45( X, Y ) }.
% 0.46/1.17 { ! alpha44( X, Y ), alpha46( X, Y ), nil = X }.
% 0.46/1.17 { ! alpha44( X, Y ), alpha46( X, Y ), ! nil = Y }.
% 0.46/1.17 { ! alpha46( X, Y ), alpha44( X, Y ) }.
% 0.46/1.17 { ! nil = X, nil = Y, alpha44( X, Y ) }.
% 0.46/1.17 { ! alpha46( X, Y ), nil = Y }.
% 0.46/1.17 { ! alpha46( X, Y ), ! nil = X }.
% 0.46/1.17 { ! nil = Y, nil = X, alpha46( X, Y ) }.
% 0.46/1.17
% 0.46/1.17 *** allocated 15000 integers for clauses
% 0.46/1.17 percentage equality = 0.137572, percentage horn = 0.751701
% 0.46/1.17 This is a problem with some equality
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 Options Used:
% 0.46/1.17
% 0.46/1.17 useres = 1
% 0.46/1.17 useparamod = 1
% 0.46/1.17 useeqrefl = 1
% 0.46/1.17 useeqfact = 1
% 0.46/1.17 usefactor = 1
% 0.46/1.17 usesimpsplitting = 0
% 0.46/1.17 usesimpdemod = 5
% 0.46/1.17 usesimpres = 3
% 0.46/1.17
% 0.46/1.17 resimpinuse = 1000
% 0.46/1.17 resimpclauses = 20000
% 0.46/1.17 substype = eqrewr
% 0.46/1.17 backwardsubs = 1
% 0.46/1.17 selectoldest = 5
% 0.46/1.17
% 0.46/1.17 litorderings [0] = split
% 0.46/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.17
% 0.46/1.17 termordering = kbo
% 0.46/1.17
% 0.46/1.17 litapriori = 0
% 0.46/1.17 termapriori = 1
% 0.46/1.17 litaposteriori = 0
% 0.46/1.17 termaposteriori = 0
% 0.46/1.17 demodaposteriori = 0
% 0.46/1.17 ordereqreflfact = 0
% 0.46/1.17
% 0.46/1.17 litselect = negord
% 0.46/1.17
% 0.46/1.17 maxweight = 15
% 0.46/1.17 maxdepth = 30000
% 0.46/1.17 maxlength = 115
% 0.46/1.17 maxnrvars = 195
% 0.46/1.17 excuselevel = 1
% 0.46/1.17 increasemaxweight = 1
% 0.46/1.17
% 0.46/1.17 maxselected = 10000000
% 0.46/1.17 maxnrclauses = 10000000
% 0.46/1.17
% 0.46/1.17 showgenerated = 0
% 0.46/1.17 showkept = 0
% 0.46/1.17 showselected = 0
% 0.46/1.17 showdeleted = 0
% 0.46/1.17 showresimp = 1
% 0.46/1.17 showstatus = 2000
% 0.46/1.17
% 0.46/1.17 prologoutput = 0
% 0.46/1.17 nrgoals = 5000000
% 0.46/1.17 totalproof = 1
% 0.46/1.17
% 0.46/1.17 Symbols occurring in the translation:
% 0.46/1.17
% 0.46/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.17 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.46/1.17 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.46/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.17 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.46/1.17 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.46/1.17 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.46/1.17 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.33/1.76 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.33/1.76 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.33/1.76 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.33/1.76 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.33/1.76 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.33/1.76 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.33/1.76 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.33/1.76 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.33/1.76 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.33/1.76 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.33/1.76 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.33/1.76 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.33/1.76 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.33/1.76 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.33/1.76 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.33/1.76 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.33/1.76 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.33/1.76 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.33/1.76 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.33/1.76 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.33/1.76 alpha1 [65, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.33/1.76 alpha2 [66, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.33/1.76 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.33/1.76 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.33/1.76 alpha5 [69, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.33/1.76 alpha6 [70, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.33/1.76 alpha7 [71, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.33/1.76 alpha8 [72, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.33/1.76 alpha9 [73, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.33/1.76 alpha10 [74, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.33/1.76 alpha11 [75, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.33/1.76 alpha12 [76, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.33/1.76 alpha13 [77, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.33/1.76 alpha14 [78, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.33/1.76 alpha15 [79, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.33/1.76 alpha16 [80, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.33/1.76 alpha17 [81, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.33/1.76 alpha18 [82, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.33/1.76 alpha19 [83, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.33/1.76 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.33/1.76 alpha21 [85, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.33/1.76 alpha22 [86, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.33/1.76 alpha23 [87, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.33/1.76 alpha24 [88, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.33/1.76 alpha25 [89, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.33/1.76 alpha26 [90, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.33/1.76 alpha27 [91, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.33/1.76 alpha28 [92, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.33/1.76 alpha29 [93, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.33/1.76 alpha30 [94, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.33/1.76 alpha31 [95, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.33/1.76 alpha32 [96, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.33/1.76 alpha33 [97, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.33/1.76 alpha34 [98, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.33/1.76 alpha35 [99, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.33/1.76 alpha36 [100, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.33/1.76 alpha37 [101, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.33/1.76 alpha38 [102, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.33/1.76 alpha39 [103, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.33/1.76 alpha40 [104, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.33/1.76 alpha41 [105, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.33/1.76 alpha42 [106, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.33/1.76 alpha43 [107, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.33/1.76 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.33/1.76 alpha45 [109, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.33/1.76 alpha46 [110, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.33/1.76 skol1 [111, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.33/1.76 skol2 [112, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.33/1.76 skol3 [113, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.33/1.76 skol4 [114, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.33/1.76 skol5 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.33/1.76 skol6 [116, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.33/1.76 skol7 [117, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.33/1.76 skol8 [118, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.33/1.76 skol9 [119, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.33/1.76 skol10 [120, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.33/1.76 skol11 [121, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.33/1.76 skol12 [122, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.33/1.76 skol13 [123, 5] (w:1, o:150, a:1, s:1, b:1),
% 3.63/4.00 skol14 [124, 1] (w:1, o:34, a:1, s:1, b:1),
% 3.63/4.00 skol15 [125, 2] (w:1, o:101, a:1, s:1, b:1),
% 3.63/4.00 skol16 [126, 3] (w:1, o:125, a:1, s:1, b:1),
% 3.63/4.00 skol17 [127, 4] (w:1, o:137, a:1, s:1, b:1),
% 3.63/4.00 skol18 [128, 5] (w:1, o:151, a:1, s:1, b:1),
% 3.63/4.00 skol19 [129, 1] (w:1, o:35, a:1, s:1, b:1),
% 3.63/4.00 skol20 [130, 2] (w:1, o:107, a:1, s:1, b:1),
% 3.63/4.00 skol21 [131, 3] (w:1, o:120, a:1, s:1, b:1),
% 3.63/4.00 skol22 [132, 4] (w:1, o:138, a:1, s:1, b:1),
% 3.63/4.00 skol23 [133, 5] (w:1, o:152, a:1, s:1, b:1),
% 3.63/4.00 skol24 [134, 1] (w:1, o:36, a:1, s:1, b:1),
% 3.63/4.00 skol25 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 3.63/4.00 skol26 [136, 3] (w:1, o:121, a:1, s:1, b:1),
% 3.63/4.00 skol27 [137, 4] (w:1, o:139, a:1, s:1, b:1),
% 3.63/4.00 skol28 [138, 5] (w:1, o:153, a:1, s:1, b:1),
% 3.63/4.00 skol29 [139, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.63/4.00 skol30 [140, 2] (w:1, o:109, a:1, s:1, b:1),
% 3.63/4.00 skol31 [141, 3] (w:1, o:126, a:1, s:1, b:1),
% 3.63/4.00 skol32 [142, 4] (w:1, o:140, a:1, s:1, b:1),
% 3.63/4.00 skol33 [143, 5] (w:1, o:154, a:1, s:1, b:1),
% 3.63/4.00 skol34 [144, 1] (w:1, o:30, a:1, s:1, b:1),
% 3.63/4.00 skol35 [145, 2] (w:1, o:110, a:1, s:1, b:1),
% 3.63/4.00 skol36 [146, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.63/4.00 skol37 [147, 4] (w:1, o:141, a:1, s:1, b:1),
% 3.63/4.00 skol38 [148, 5] (w:1, o:155, a:1, s:1, b:1),
% 3.63/4.00 skol39 [149, 1] (w:1, o:31, a:1, s:1, b:1),
% 3.63/4.00 skol40 [150, 2] (w:1, o:103, a:1, s:1, b:1),
% 3.63/4.00 skol41 [151, 3] (w:1, o:128, a:1, s:1, b:1),
% 3.63/4.00 skol42 [152, 4] (w:1, o:142, a:1, s:1, b:1),
% 3.63/4.00 skol43 [153, 1] (w:1, o:38, a:1, s:1, b:1),
% 3.63/4.00 skol44 [154, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.63/4.00 skol45 [155, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.63/4.00 skol46 [156, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.63/4.00 skol47 [157, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.63/4.00 skol48 [158, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.63/4.00 skol49 [159, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.63/4.00 skol50 [160, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.63/4.00 skol51 [161, 0] (w:1, o:18, a:1, s:1, b:1).
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Starting Search:
% 3.63/4.00
% 3.63/4.00 *** allocated 22500 integers for clauses
% 3.63/4.00 *** allocated 33750 integers for clauses
% 3.63/4.00 *** allocated 50625 integers for clauses
% 3.63/4.00 *** allocated 22500 integers for termspace/termends
% 3.63/4.00 *** allocated 75937 integers for clauses
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 33750 integers for termspace/termends
% 3.63/4.00 *** allocated 113905 integers for clauses
% 3.63/4.00 *** allocated 50625 integers for termspace/termends
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 4003
% 3.63/4.00 Kept: 2062
% 3.63/4.00 Inuse: 204
% 3.63/4.00 Deleted: 7
% 3.63/4.00 Deletedinuse: 0
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 170857 integers for clauses
% 3.63/4.00 *** allocated 75937 integers for termspace/termends
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 256285 integers for clauses
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 7600
% 3.63/4.00 Kept: 4069
% 3.63/4.00 Inuse: 422
% 3.63/4.00 Deleted: 9
% 3.63/4.00 Deletedinuse: 0
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 113905 integers for termspace/termends
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 384427 integers for clauses
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 11517
% 3.63/4.00 Kept: 6086
% 3.63/4.00 Inuse: 582
% 3.63/4.00 Deleted: 16
% 3.63/4.00 Deletedinuse: 7
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 170857 integers for termspace/termends
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 16008
% 3.63/4.00 Kept: 8133
% 3.63/4.00 Inuse: 675
% 3.63/4.00 Deleted: 19
% 3.63/4.00 Deletedinuse: 10
% 3.63/4.00
% 3.63/4.00 *** allocated 576640 integers for clauses
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 19270
% 3.63/4.00 Kept: 10156
% 3.63/4.00 Inuse: 722
% 3.63/4.00 Deleted: 19
% 3.63/4.00 Deletedinuse: 10
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 256285 integers for termspace/termends
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 25212
% 3.63/4.00 Kept: 12178
% 3.63/4.00 Inuse: 767
% 3.63/4.00 Deleted: 19
% 3.63/4.00 Deletedinuse: 10
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 864960 integers for clauses
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 33278
% 3.63/4.00 Kept: 14277
% 3.63/4.00 Inuse: 796
% 3.63/4.00 Deleted: 24
% 3.63/4.00 Deletedinuse: 14
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 384427 integers for termspace/termends
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 39693
% 3.63/4.00 Kept: 16362
% 3.63/4.00 Inuse: 847
% 3.63/4.00 Deleted: 37
% 3.63/4.00 Deletedinuse: 18
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 45753
% 3.63/4.00 Kept: 18371
% 3.63/4.00 Inuse: 877
% 3.63/4.00 Deleted: 63
% 3.63/4.00 Deletedinuse: 19
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 1297440 integers for clauses
% 3.63/4.00 Resimplifying clauses:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 53770
% 3.63/4.00 Kept: 20382
% 3.63/4.00 Inuse: 898
% 3.63/4.00 Deleted: 2246
% 3.63/4.00 Deletedinuse: 20
% 3.63/4.00
% 3.63/4.00 *** allocated 576640 integers for termspace/termends
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 62140
% 3.63/4.00 Kept: 22617
% 3.63/4.00 Inuse: 932
% 3.63/4.00 Deleted: 2250
% 3.63/4.00 Deletedinuse: 24
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 70442
% 3.63/4.00 Kept: 24730
% 3.63/4.00 Inuse: 967
% 3.63/4.00 Deleted: 2250
% 3.63/4.00 Deletedinuse: 24
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 77750
% 3.63/4.00 Kept: 26792
% 3.63/4.00 Inuse: 997
% 3.63/4.00 Deleted: 2260
% 3.63/4.00 Deletedinuse: 34
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 84403
% 3.63/4.00 Kept: 28846
% 3.63/4.00 Inuse: 1037
% 3.63/4.00 Deleted: 2280
% 3.63/4.00 Deletedinuse: 54
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 1946160 integers for clauses
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 90386
% 3.63/4.00 Kept: 30927
% 3.63/4.00 Inuse: 1052
% 3.63/4.00 Deleted: 2280
% 3.63/4.00 Deletedinuse: 54
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 *** allocated 864960 integers for termspace/termends
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 102716
% 3.63/4.00 Kept: 33757
% 3.63/4.00 Inuse: 1077
% 3.63/4.00 Deleted: 2280
% 3.63/4.00 Deletedinuse: 54
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 119131
% 3.63/4.00 Kept: 36354
% 3.63/4.00 Inuse: 1111
% 3.63/4.00 Deleted: 2283
% 3.63/4.00 Deletedinuse: 56
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Intermediate Status:
% 3.63/4.00 Generated: 126256
% 3.63/4.00 Kept: 38390
% 3.63/4.00 Inuse: 1149
% 3.63/4.00 Deleted: 2287
% 3.63/4.00 Deletedinuse: 58
% 3.63/4.00
% 3.63/4.00 Resimplifying inuse:
% 3.63/4.00 Done
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Bliksems!, er is een bewijs:
% 3.63/4.00 % SZS status Theorem
% 3.63/4.00 % SZS output start Refutation
% 3.63/4.00
% 3.63/4.00 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.63/4.00 , ! X = Y }.
% 3.63/4.00 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.63/4.00 (207) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, nil ) }.
% 3.63/4.00 (208) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.63/4.00 }.
% 3.63/4.00 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.63/4.00 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 3.63/4.00 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.63/4.00 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.63/4.00 (281) {G0,W3,D2,L1,V0,M1} I { alpha44( skol46, skol49 ) }.
% 3.63/4.00 (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { neq( skol46, nil ),
% 3.63/4.00 alpha45( skol46, skol49 ) }.
% 3.63/4.00 (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279);d(280) { alpha45( skol46,
% 3.63/4.00 skol49 ), rearsegP( skol49, skol46 ) }.
% 3.63/4.00 (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), nil = Y }.
% 3.63/4.00 (285) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), nil = X }.
% 3.63/4.00 (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha45( X, Y ) }.
% 3.63/4.00 (287) {G0,W9,D2,L3,V2,M3} I { ! alpha44( X, Y ), alpha46( X, Y ), nil = X
% 3.63/4.00 }.
% 3.63/4.00 (288) {G0,W9,D2,L3,V2,M3} I { ! alpha44( X, Y ), alpha46( X, Y ), ! nil = Y
% 3.63/4.00 }.
% 3.63/4.00 (289) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), alpha44( X, Y ) }.
% 3.63/4.00 (290) {G0,W9,D2,L3,V2,M3} I { ! nil = X, nil = Y, alpha44( X, Y ) }.
% 3.63/4.00 (291) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), nil = Y }.
% 3.63/4.00 (292) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), ! nil = X }.
% 3.63/4.00 (293) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, nil = X, alpha46( X, Y ) }.
% 3.63/4.00 (377) {G1,W6,D2,L2,V1,M2} F(286) { ! nil = X, alpha45( X, X ) }.
% 3.63/4.00 (381) {G1,W6,D2,L2,V1,M2} Q(288) { ! alpha44( X, nil ), alpha46( X, nil )
% 3.63/4.00 }.
% 3.63/4.00 (382) {G1,W6,D2,L2,V1,M2} Q(290) { nil = X, alpha44( nil, X ) }.
% 3.63/4.00 (384) {G1,W6,D2,L2,V1,M2} Q(293) { nil = X, alpha46( X, nil ) }.
% 3.63/4.00 (519) {G1,W3,D2,L1,V0,M1} R(207,276) { rearsegP( skol49, nil ) }.
% 3.63/4.00 (719) {G1,W6,D2,L2,V3,M2} R(291,292) { ! alpha46( X, Y ), ! alpha46( Y, Z )
% 3.63/4.00 }.
% 3.63/4.00 (722) {G1,W9,D2,L3,V4,M3} P(291,292) { ! alpha46( Y, Z ), ! X = Y, !
% 3.63/4.00 alpha46( T, X ) }.
% 3.63/4.00 (789) {G2,W6,D2,L2,V2,M2} F(722) { ! alpha46( X, Y ), ! Y = X }.
% 3.63/4.00 (1116) {G2,W6,D2,L2,V2,M2} P(285,519) { rearsegP( skol49, X ), ! alpha45( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (1488) {G1,W6,D2,L2,V3,M2} R(284,292) { ! alpha45( X, Y ), ! alpha46( Y, Z
% 3.63/4.00 ) }.
% 3.63/4.00 (7078) {G2,W6,D2,L2,V1,M2} R(384,289) { nil = X, alpha44( X, nil ) }.
% 3.63/4.00 (7301) {G2,W5,D2,L2,V1,M2} P(384,161) { ssList( X ), alpha46( X, nil ) }.
% 3.63/4.00 (7336) {G3,W5,D2,L2,V1,M2} R(7301,789) { ssList( X ), ! nil = X }.
% 3.63/4.00 (11406) {G4,W6,D2,L2,V1,M2} R(158,161);r(7336) { ! neq( nil, X ), ! nil = X
% 3.63/4.00 }.
% 3.63/4.00 (18593) {G5,W6,D2,L2,V1,M2} R(382,11406) { alpha44( nil, X ), ! neq( nil, X
% 3.63/4.00 ) }.
% 3.63/4.00 (20340) {G3,W3,D2,L1,V0,M1} S(283);r(1116) { rearsegP( skol49, skol46 ) }.
% 3.63/4.00 (20376) {G4,W6,D2,L2,V1,M2} P(285,20340) { rearsegP( nil, skol46 ), !
% 3.63/4.00 alpha45( skol49, X ) }.
% 3.63/4.00 (20377) {G4,W6,D2,L2,V1,M2} P(291,20340) { rearsegP( nil, skol46 ), !
% 3.63/4.00 alpha46( X, skol49 ) }.
% 3.63/4.00 (24043) {G5,W6,D2,L2,V1,M2} R(20376,208);r(275) { ! alpha45( skol49, X ),
% 3.63/4.00 skol46 ==> nil }.
% 3.63/4.00 (25489) {G5,W6,D2,L2,V1,M2} R(20377,208);r(275) { ! alpha46( X, skol49 ),
% 3.63/4.00 skol46 ==> nil }.
% 3.63/4.00 (28196) {G6,W9,D2,L3,V2,M3} P(7078,18593) { alpha44( X, Y ), ! neq( X, Y )
% 3.63/4.00 , alpha44( X, nil ) }.
% 3.63/4.00 (28207) {G7,W6,D2,L2,V1,M2} F(28196) { alpha44( X, nil ), ! neq( X, nil )
% 3.63/4.00 }.
% 3.63/4.00 (30932) {G2,W6,D2,L2,V2,M2} R(381,719) { ! alpha44( X, nil ), ! alpha46( Y
% 3.63/4.00 , X ) }.
% 3.63/4.00 (32280) {G8,W6,D2,L2,V2,M2} R(30932,28207) { ! alpha46( X, Y ), ! neq( Y,
% 3.63/4.00 nil ) }.
% 3.63/4.00 (33768) {G6,W6,D2,L2,V0,M2} R(377,24043) { ! skol49 ==> nil, skol46 ==> nil
% 3.63/4.00 }.
% 3.63/4.00 (37222) {G9,W6,D2,L2,V1,M2} R(282,32280) { alpha45( skol46, skol49 ), !
% 3.63/4.00 alpha46( X, skol46 ) }.
% 3.63/4.00 (37329) {G10,W6,D2,L2,V2,M2} R(37222,1488) { ! alpha46( X, skol46 ), !
% 3.63/4.00 alpha46( skol49, Y ) }.
% 3.63/4.00 (37339) {G11,W3,D2,L1,V0,M1} F(37329) { ! alpha46( skol49, skol46 ) }.
% 3.63/4.00 (37739) {G6,W3,D2,L1,V0,M1} R(287,281);r(25489) { skol46 ==> nil }.
% 3.63/4.00 (38334) {G7,W3,D2,L1,V0,M1} R(288,281);d(33768);r(789) { ! skol49 ==> nil
% 3.63/4.00 }.
% 3.63/4.00 (38396) {G12,W3,D2,L1,V0,M1} S(37339);d(37739) { ! alpha46( skol49, nil )
% 3.63/4.00 }.
% 3.63/4.00 (38421) {G13,W3,D2,L1,V0,M1} R(38396,287);r(7078) { skol49 ==> nil }.
% 3.63/4.00 (38422) {G14,W0,D0,L0,V0,M0} S(38421);r(38334) { }.
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 % SZS output end Refutation
% 3.63/4.00 found a proof!
% 3.63/4.00
% 3.63/4.00
% 3.63/4.00 Unprocessed initial clauses:
% 3.63/4.00
% 3.63/4.00 (38424) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.63/4.00 , ! X = Y }.
% 3.63/4.00 (38425) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38426) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.63/4.00 (38427) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 3.63/4.00 (38428) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 3.63/4.00 (38429) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.63/4.00 , Y ), ssList( skol2( Z, T ) ) }.
% 3.63/4.00 (38430) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.63/4.00 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.63/4.00 (38431) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.63/4.00 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.63/4.00 (38432) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.63/4.00 ) ) }.
% 3.63/4.00 (38433) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.63/4.00 ( X, Y, Z ) ) ) = X }.
% 3.63/4.00 (38434) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.63/4.00 , alpha1( X, Y, Z ) }.
% 3.63/4.00 (38435) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.63/4.00 skol4( Y ) ) }.
% 3.63/4.00 (38436) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.63/4.00 skol4( X ), nil ) = X }.
% 3.63/4.00 (38437) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.63/4.00 nil ) = X, singletonP( X ) }.
% 3.63/4.00 (38438) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.63/4.00 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.63/4.00 (38439) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.63/4.00 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.63/4.00 (38440) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.63/4.00 (38441) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.63/4.00 , Y ), ssList( skol6( Z, T ) ) }.
% 3.63/4.00 (38442) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.63/4.00 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.63/4.00 (38443) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.63/4.00 (38444) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.63/4.00 , Y ), ssList( skol7( Z, T ) ) }.
% 3.63/4.00 (38445) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.63/4.00 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.63/4.00 (38446) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.63/4.00 (38447) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.63/4.00 ) ) }.
% 3.63/4.00 (38448) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.63/4.00 skol8( X, Y, Z ) ) = X }.
% 3.63/4.00 (38449) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.63/4.00 , alpha2( X, Y, Z ) }.
% 3.63/4.00 (38450) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.63/4.00 Y ), alpha3( X, Y ) }.
% 3.63/4.00 (38451) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.63/4.00 cyclefreeP( X ) }.
% 3.63/4.00 (38452) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.63/4.00 cyclefreeP( X ) }.
% 3.63/4.00 (38453) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.63/4.00 , Y, Z ) }.
% 3.63/4.00 (38454) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.63/4.00 (38455) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38456) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.63/4.00 alpha28( X, Y, Z, T ) }.
% 3.63/4.00 (38457) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.63/4.00 Z ) }.
% 3.63/4.00 (38458) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.63/4.00 alpha21( X, Y, Z ) }.
% 3.63/4.00 (38459) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.63/4.00 alpha35( X, Y, Z, T, U ) }.
% 3.63/4.00 (38460) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.63/4.00 X, Y, Z, T ) }.
% 3.63/4.00 (38461) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.63/4.00 ), alpha28( X, Y, Z, T ) }.
% 3.63/4.00 (38462) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.63/4.00 alpha41( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38463) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.63/4.00 alpha35( X, Y, Z, T, U ) }.
% 3.63/4.00 (38464) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.63/4.00 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.63/4.00 (38465) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.63/4.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.63/4.00 (38466) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.63/4.00 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38467) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.63/4.00 W ) }.
% 3.63/4.00 (38468) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.63/4.00 X ) }.
% 3.63/4.00 (38469) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.63/4.00 (38470) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.63/4.00 (38471) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.63/4.00 ( Y ), alpha4( X, Y ) }.
% 3.63/4.00 (38472) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.63/4.00 totalorderP( X ) }.
% 3.63/4.00 (38473) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.63/4.00 totalorderP( X ) }.
% 3.63/4.00 (38474) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.63/4.00 , Y, Z ) }.
% 3.63/4.00 (38475) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.63/4.00 (38476) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38477) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.63/4.00 alpha29( X, Y, Z, T ) }.
% 3.63/4.00 (38478) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.63/4.00 Z ) }.
% 3.63/4.00 (38479) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.63/4.00 alpha22( X, Y, Z ) }.
% 3.63/4.00 (38480) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.63/4.00 alpha36( X, Y, Z, T, U ) }.
% 3.63/4.00 (38481) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.63/4.00 X, Y, Z, T ) }.
% 3.63/4.00 (38482) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.63/4.00 ), alpha29( X, Y, Z, T ) }.
% 3.63/4.00 (38483) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.63/4.00 alpha42( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38484) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.63/4.00 alpha36( X, Y, Z, T, U ) }.
% 3.63/4.00 (38485) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.63/4.00 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.63/4.00 (38486) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.63/4.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.63/4.00 (38487) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.63/4.00 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38488) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.63/4.00 W ) }.
% 3.63/4.00 (38489) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.63/4.00 }.
% 3.63/4.00 (38490) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.63/4.00 (38491) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.63/4.00 (38492) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.63/4.00 ( Y ), alpha5( X, Y ) }.
% 3.63/4.00 (38493) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.63/4.00 strictorderP( X ) }.
% 3.63/4.00 (38494) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.63/4.00 strictorderP( X ) }.
% 3.63/4.00 (38495) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.63/4.00 , Y, Z ) }.
% 3.63/4.00 (38496) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.63/4.00 (38497) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38498) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.63/4.00 alpha30( X, Y, Z, T ) }.
% 3.63/4.00 (38499) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.63/4.00 Z ) }.
% 3.63/4.00 (38500) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.63/4.00 alpha23( X, Y, Z ) }.
% 3.63/4.00 (38501) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.63/4.00 alpha37( X, Y, Z, T, U ) }.
% 3.63/4.00 (38502) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.63/4.00 X, Y, Z, T ) }.
% 3.63/4.00 (38503) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.63/4.00 ), alpha30( X, Y, Z, T ) }.
% 3.63/4.00 (38504) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.63/4.00 alpha43( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38505) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.63/4.00 alpha37( X, Y, Z, T, U ) }.
% 3.63/4.00 (38506) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.63/4.00 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.63/4.00 (38507) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.63/4.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.63/4.00 (38508) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.63/4.00 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38509) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.63/4.00 W ) }.
% 3.63/4.00 (38510) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.63/4.00 }.
% 3.63/4.00 (38511) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.63/4.00 (38512) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.63/4.00 (38513) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.63/4.00 ssItem( Y ), alpha6( X, Y ) }.
% 3.63/4.00 (38514) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.63/4.00 totalorderedP( X ) }.
% 3.63/4.00 (38515) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.63/4.00 totalorderedP( X ) }.
% 3.63/4.00 (38516) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.63/4.00 , Y, Z ) }.
% 3.63/4.00 (38517) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.63/4.00 (38518) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38519) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.63/4.00 alpha24( X, Y, Z, T ) }.
% 3.63/4.00 (38520) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.63/4.00 Z ) }.
% 3.63/4.00 (38521) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.63/4.00 alpha15( X, Y, Z ) }.
% 3.63/4.00 (38522) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.63/4.00 alpha31( X, Y, Z, T, U ) }.
% 3.63/4.00 (38523) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.63/4.00 X, Y, Z, T ) }.
% 3.63/4.00 (38524) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.63/4.00 ), alpha24( X, Y, Z, T ) }.
% 3.63/4.00 (38525) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.63/4.00 alpha38( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38526) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.63/4.00 alpha31( X, Y, Z, T, U ) }.
% 3.63/4.00 (38527) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.63/4.00 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.63/4.00 (38528) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.63/4.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.63/4.00 (38529) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.63/4.00 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38530) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.63/4.00 }.
% 3.63/4.00 (38531) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.63/4.00 ssItem( Y ), alpha7( X, Y ) }.
% 3.63/4.00 (38532) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.63/4.00 strictorderedP( X ) }.
% 3.63/4.00 (38533) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.63/4.00 strictorderedP( X ) }.
% 3.63/4.00 (38534) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.63/4.00 , Y, Z ) }.
% 3.63/4.00 (38535) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.63/4.00 (38536) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38537) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.63/4.00 alpha25( X, Y, Z, T ) }.
% 3.63/4.00 (38538) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.63/4.00 Z ) }.
% 3.63/4.00 (38539) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.63/4.00 alpha16( X, Y, Z ) }.
% 3.63/4.00 (38540) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.63/4.00 alpha32( X, Y, Z, T, U ) }.
% 3.63/4.00 (38541) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.63/4.00 X, Y, Z, T ) }.
% 3.63/4.00 (38542) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.63/4.00 ), alpha25( X, Y, Z, T ) }.
% 3.63/4.00 (38543) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.63/4.00 alpha39( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38544) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.63/4.00 alpha32( X, Y, Z, T, U ) }.
% 3.63/4.00 (38545) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.63/4.00 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.63/4.00 (38546) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.63/4.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.63/4.00 (38547) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.63/4.00 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38548) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.63/4.00 }.
% 3.63/4.00 (38549) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.63/4.00 ssItem( Y ), alpha8( X, Y ) }.
% 3.63/4.00 (38550) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.63/4.00 duplicatefreeP( X ) }.
% 3.63/4.00 (38551) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.63/4.00 duplicatefreeP( X ) }.
% 3.63/4.00 (38552) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.63/4.00 , Y, Z ) }.
% 3.63/4.00 (38553) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.63/4.00 (38554) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38555) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.63/4.00 alpha26( X, Y, Z, T ) }.
% 3.63/4.00 (38556) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.63/4.00 Z ) }.
% 3.63/4.00 (38557) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.63/4.00 alpha17( X, Y, Z ) }.
% 3.63/4.00 (38558) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.63/4.00 alpha33( X, Y, Z, T, U ) }.
% 3.63/4.00 (38559) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.63/4.00 X, Y, Z, T ) }.
% 3.63/4.00 (38560) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.63/4.00 ), alpha26( X, Y, Z, T ) }.
% 3.63/4.00 (38561) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.63/4.00 alpha40( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38562) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.63/4.00 alpha33( X, Y, Z, T, U ) }.
% 3.63/4.00 (38563) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.63/4.00 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.63/4.00 (38564) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.63/4.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.63/4.00 (38565) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.63/4.00 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38566) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.63/4.00 (38567) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.63/4.00 ( Y ), alpha9( X, Y ) }.
% 3.63/4.00 (38568) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.63/4.00 equalelemsP( X ) }.
% 3.63/4.00 (38569) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.63/4.00 equalelemsP( X ) }.
% 3.63/4.00 (38570) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.63/4.00 , Y, Z ) }.
% 3.63/4.00 (38571) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.63/4.00 (38572) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38573) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.63/4.00 alpha27( X, Y, Z, T ) }.
% 3.63/4.00 (38574) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.63/4.00 Z ) }.
% 3.63/4.00 (38575) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.63/4.00 alpha18( X, Y, Z ) }.
% 3.63/4.00 (38576) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.63/4.00 alpha34( X, Y, Z, T, U ) }.
% 3.63/4.00 (38577) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.63/4.00 X, Y, Z, T ) }.
% 3.63/4.00 (38578) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.63/4.00 ), alpha27( X, Y, Z, T ) }.
% 3.63/4.00 (38579) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.63/4.00 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.63/4.00 (38580) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.63/4.00 alpha34( X, Y, Z, T, U ) }.
% 3.63/4.00 (38581) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.63/4.00 (38582) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.63/4.00 , ! X = Y }.
% 3.63/4.00 (38583) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.63/4.00 , Y ) }.
% 3.63/4.00 (38584) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.63/4.00 Y, X ) ) }.
% 3.63/4.00 (38585) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.63/4.00 (38586) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.63/4.00 = X }.
% 3.63/4.00 (38587) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.63/4.00 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.63/4.00 (38588) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.63/4.00 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.63/4.00 (38589) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.63/4.00 ) }.
% 3.63/4.00 (38590) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 3.63/4.00 ) }.
% 3.63/4.00 (38591) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 3.63/4.00 skol43( X ) ) = X }.
% 3.63/4.00 (38592) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.63/4.00 Y, X ) }.
% 3.63/4.00 (38593) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.63/4.00 }.
% 3.63/4.00 (38594) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.63/4.00 X ) ) = Y }.
% 3.63/4.00 (38595) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.63/4.00 }.
% 3.63/4.00 (38596) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.63/4.00 X ) ) = X }.
% 3.63/4.00 (38597) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.63/4.00 , Y ) ) }.
% 3.63/4.00 (38598) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.63/4.00 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.63/4.00 (38599) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.63/4.00 (38600) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.63/4.00 , ! leq( Y, X ), X = Y }.
% 3.63/4.00 (38601) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.63/4.00 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.63/4.00 (38602) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.63/4.00 (38603) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.63/4.00 , leq( Y, X ) }.
% 3.63/4.00 (38604) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.63/4.00 , geq( X, Y ) }.
% 3.63/4.00 (38605) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.63/4.00 , ! lt( Y, X ) }.
% 3.63/4.00 (38606) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.63/4.00 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.63/4.00 (38607) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.63/4.00 , lt( Y, X ) }.
% 3.63/4.00 (38608) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.63/4.00 , gt( X, Y ) }.
% 3.63/4.00 (38609) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.63/4.00 (38610) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.63/4.00 (38611) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.63/4.00 (38612) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.63/4.00 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.63/4.00 (38613) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.63/4.00 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.63/4.00 (38614) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.63/4.00 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.63/4.00 (38615) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.63/4.00 (38616) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.63/4.00 (38617) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.63/4.00 (38618) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.63/4.00 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.63/4.00 (38619) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.63/4.00 (38620) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.63/4.00 (38621) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.63/4.00 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.63/4.00 (38622) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.63/4.00 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.63/4.00 , T ) }.
% 3.63/4.00 (38623) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.63/4.00 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.63/4.00 cons( Y, T ) ) }.
% 3.63/4.00 (38624) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.63/4.00 (38625) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.63/4.00 X }.
% 3.63/4.00 (38626) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.63/4.00 ) }.
% 3.63/4.00 (38627) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.63/4.00 (38628) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.63/4.00 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.63/4.00 (38629) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.63/4.00 (38630) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.63/4.00 (38631) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.63/4.00 (38632) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.63/4.00 }.
% 3.63/4.00 (38633) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.63/4.00 }.
% 3.63/4.00 (38634) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.63/4.00 (38635) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.63/4.00 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.63/4.00 (38636) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.63/4.00 (38637) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.63/4.00 }.
% 3.63/4.00 (38638) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.63/4.00 (38639) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.63/4.00 }.
% 3.63/4.00 (38640) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.63/4.00 }.
% 3.63/4.00 (38641) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.63/4.00 }.
% 3.63/4.00 (38642) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.63/4.00 (38643) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.63/4.00 }.
% 3.63/4.00 (38644) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.63/4.00 (38645) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.63/4.00 ) }.
% 3.63/4.00 (38646) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.63/4.00 (38647) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.63/4.00 ) }.
% 3.63/4.00 (38648) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.63/4.00 (38649) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.63/4.00 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.63/4.00 (38650) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.63/4.00 totalorderedP( cons( X, Y ) ) }.
% 3.63/4.00 (38651) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.63/4.00 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.63/4.00 (38652) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.63/4.00 (38653) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.63/4.00 (38654) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.63/4.00 }.
% 3.63/4.00 (38655) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.63/4.00 (38656) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.63/4.00 (38657) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.63/4.00 alpha19( X, Y ) }.
% 3.63/4.00 (38658) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.63/4.00 ) ) }.
% 3.63/4.00 (38659) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.63/4.00 (38660) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.63/4.00 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.63/4.00 (38661) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.63/4.00 strictorderedP( cons( X, Y ) ) }.
% 3.63/4.00 (38662) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.63/4.00 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.63/4.00 (38663) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.63/4.00 (38664) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.63/4.00 (38665) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.63/4.00 }.
% 3.63/4.00 (38666) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.63/4.00 (38667) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.63/4.00 (38668) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.63/4.00 alpha20( X, Y ) }.
% 3.63/4.00 (38669) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.63/4.00 ) ) }.
% 3.63/4.00 (38670) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.63/4.00 (38671) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.63/4.00 }.
% 3.63/4.00 (38672) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.63/4.00 (38673) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.63/4.00 ) }.
% 3.63/4.00 (38674) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.63/4.00 ) }.
% 3.63/4.00 (38675) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.63/4.00 ) }.
% 3.63/4.00 (38676) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.63/4.00 ) }.
% 3.63/4.00 (38677) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.63/4.00 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.63/4.00 (38678) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.63/4.00 X ) ) = X }.
% 3.63/4.00 (38679) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.63/4.00 (38680) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.63/4.00 (38681) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.63/4.00 = app( cons( Y, nil ), X ) }.
% 3.63/4.00 (38682) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.63/4.00 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.63/4.00 (38683) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.63/4.00 X, Y ), nil = Y }.
% 3.63/4.00 (38684) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.63/4.00 X, Y ), nil = X }.
% 3.63/4.00 (38685) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.63/4.00 nil = X, nil = app( X, Y ) }.
% 3.63/4.00 (38686) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.63/4.00 (38687) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.63/4.00 app( X, Y ) ) = hd( X ) }.
% 3.63/4.00 (38688) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.63/4.00 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.63/4.00 (38689) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.63/4.00 , ! geq( Y, X ), X = Y }.
% 3.63/4.00 (38690) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.63/4.00 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.63/4.00 (38691) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.63/4.00 (38692) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.63/4.00 (38693) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.63/4.00 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.63/4.00 (38694) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.63/4.00 , X = Y, lt( X, Y ) }.
% 3.63/4.00 (38695) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.63/4.00 , ! X = Y }.
% 3.63/4.00 (38696) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.63/4.00 , leq( X, Y ) }.
% 3.63/4.00 (38697) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.63/4.00 ( X, Y ), lt( X, Y ) }.
% 3.63/4.00 (38698) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.63/4.00 , ! gt( Y, X ) }.
% 3.63/4.00 (38699) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.63/4.00 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.63/4.01 (38700) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.63/4.01 (38701) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.63/4.01 (38702) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.63/4.01 (38703) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.63/4.01 (38704) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.63/4.01 (38705) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.63/4.01 (38706) {G0,W3,D2,L1,V0,M1} { alpha44( skol46, skol49 ) }.
% 3.63/4.01 (38707) {G0,W6,D2,L2,V0,M2} { alpha45( skol50, skol51 ), neq( skol50, nil
% 3.63/4.01 ) }.
% 3.63/4.01 (38708) {G0,W6,D2,L2,V0,M2} { alpha45( skol50, skol51 ), rearsegP( skol51
% 3.63/4.01 , skol50 ) }.
% 3.63/4.01 (38709) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), nil = Y }.
% 3.63/4.01 (38710) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), nil = X }.
% 3.63/4.01 (38711) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha45( X, Y ) }.
% 3.63/4.01 (38712) {G0,W9,D2,L3,V2,M3} { ! alpha44( X, Y ), alpha46( X, Y ), nil = X
% 3.63/4.01 }.
% 3.63/4.01 (38713) {G0,W9,D2,L3,V2,M3} { ! alpha44( X, Y ), alpha46( X, Y ), ! nil =
% 3.63/4.01 Y }.
% 3.63/4.01 (38714) {G0,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), alpha44( X, Y ) }.
% 3.63/4.01 (38715) {G0,W9,D2,L3,V2,M3} { ! nil = X, nil = Y, alpha44( X, Y ) }.
% 3.63/4.01 (38716) {G0,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), nil = Y }.
% 3.63/4.01 (38717) {G0,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), ! nil = X }.
% 3.63/4.01 (38718) {G0,W9,D2,L3,V2,M3} { ! nil = Y, nil = X, alpha46( X, Y ) }.
% 3.63/4.01
% 3.63/4.01
% 3.63/4.01 Total Proof:
% 3.63/4.01
% 3.63/4.01 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 3.63/4.01 neq( X, Y ), ! X = Y }.
% 3.63/4.01 parent0: (38582) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 3.63/4.01 neq( X, Y ), ! X = Y }.
% 3.63/4.01 substitution0:
% 3.63/4.01 X := X
% 3.63/4.01 Y := Y
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 1 ==> 1
% 3.63/4.01 2 ==> 2
% 3.63/4.01 3 ==> 3
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.63/4.01 parent0: (38585) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 subsumption: (207) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, nil
% 3.63/4.01 ) }.
% 3.63/4.01 parent0: (38631) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil )
% 3.63/4.01 }.
% 3.63/4.01 substitution0:
% 3.63/4.01 X := X
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 1 ==> 1
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 subsumption: (208) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! rearsegP( nil,
% 3.63/4.01 X ), nil = X }.
% 3.63/4.01 parent0: (38632) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X )
% 3.63/4.01 , nil = X }.
% 3.63/4.01 substitution0:
% 3.63/4.01 X := X
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 1 ==> 1
% 3.63/4.01 2 ==> 2
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.63/4.01 parent0: (38700) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 3.63/4.01 parent0: (38701) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 eqswap: (40238) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.63/4.01 parent0[0]: (38704) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.63/4.01 parent0: (40238) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 eqswap: (40586) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.63/4.01 parent0[0]: (38705) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.63/4.01 parent0: (40586) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { alpha44( skol46, skol49 ) }.
% 3.63/4.01 parent0: (38706) {G0,W3,D2,L1,V0,M1} { alpha44( skol46, skol49 ) }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01 permutation0:
% 3.63/4.01 0 ==> 0
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 paramod: (42146) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), alpha45( skol50
% 3.63/4.01 , skol51 ) }.
% 3.63/4.01 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.63/4.01 parent1[1; 1]: (38707) {G0,W6,D2,L2,V0,M2} { alpha45( skol50, skol51 ),
% 3.63/4.01 neq( skol50, nil ) }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01 substitution1:
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 paramod: (42148) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol51 ), neq(
% 3.63/4.01 skol46, nil ) }.
% 3.63/4.01 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.63/4.01 parent1[1; 1]: (42146) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), alpha45(
% 3.63/4.01 skol50, skol51 ) }.
% 3.63/4.01 substitution0:
% 3.63/4.01 end
% 3.63/4.01 substitution1:
% 3.63/4.01 end
% 3.63/4.01
% 3.63/4.01 paramod: (42149) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol49 ), neq(
% 3.63/4.01 skol46, nil ) }.
% 3.63/4.01 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.67/4.03 parent1[0; 2]: (42148) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol51 ),
% 3.67/4.03 neq( skol46, nil ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { neq( skol46
% 3.67/4.03 , nil ), alpha45( skol46, skol49 ) }.
% 3.67/4.03 parent0: (42149) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol49 ), neq(
% 3.67/4.03 skol46, nil ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 1
% 3.67/4.03 1 ==> 0
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 paramod: (43655) {G1,W6,D2,L2,V0,M2} { rearsegP( skol51, skol46 ), alpha45
% 3.67/4.03 ( skol50, skol51 ) }.
% 3.67/4.03 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.67/4.03 parent1[1; 2]: (38708) {G0,W6,D2,L2,V0,M2} { alpha45( skol50, skol51 ),
% 3.67/4.03 rearsegP( skol51, skol50 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 paramod: (43658) {G1,W6,D2,L2,V0,M2} { alpha45( skol50, skol49 ), rearsegP
% 3.67/4.03 ( skol51, skol46 ) }.
% 3.67/4.03 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.67/4.03 parent1[1; 2]: (43655) {G1,W6,D2,L2,V0,M2} { rearsegP( skol51, skol46 ),
% 3.67/4.03 alpha45( skol50, skol51 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 paramod: (43660) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ), alpha45
% 3.67/4.03 ( skol50, skol49 ) }.
% 3.67/4.03 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.67/4.03 parent1[1; 1]: (43658) {G1,W6,D2,L2,V0,M2} { alpha45( skol50, skol49 ),
% 3.67/4.03 rearsegP( skol51, skol46 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 paramod: (43661) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol49 ), rearsegP
% 3.67/4.03 ( skol49, skol46 ) }.
% 3.67/4.03 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.67/4.03 parent1[1; 1]: (43660) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ),
% 3.67/4.03 alpha45( skol50, skol49 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 substitution1:
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279);d(280) {
% 3.67/4.03 alpha45( skol46, skol49 ), rearsegP( skol49, skol46 ) }.
% 3.67/4.03 parent0: (43661) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol49 ), rearsegP
% 3.67/4.03 ( skol49, skol46 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), nil = Y }.
% 3.67/4.03 parent0: (38709) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), nil = Y }.
% 3.67/4.03 substitution0:
% 3.67/4.03 X := X
% 3.67/4.03 Y := Y
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), nil = X }.
% 3.67/4.03 parent0: (38710) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), nil = X }.
% 3.67/4.03 substitution0:
% 3.67/4.03 X := X
% 3.67/4.03 Y := Y
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha45( X
% 3.67/4.03 , Y ) }.
% 3.67/4.03 parent0: (38711) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha45( X, Y
% 3.67/4.03 ) }.
% 3.67/4.03 substitution0:
% 3.67/4.03 X := X
% 3.67/4.03 Y := Y
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 2 ==> 2
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (287) {G0,W9,D2,L3,V2,M3} I { ! alpha44( X, Y ), alpha46( X, Y
% 3.67/4.03 ), nil = X }.
% 3.67/4.03 parent0: (38712) {G0,W9,D2,L3,V2,M3} { ! alpha44( X, Y ), alpha46( X, Y )
% 3.67/4.03 , nil = X }.
% 3.67/4.03 substitution0:
% 3.67/4.03 X := X
% 3.67/4.03 Y := Y
% 3.67/4.03 end
% 3.67/4.03 permutation0:
% 3.67/4.03 0 ==> 0
% 3.67/4.03 1 ==> 1
% 3.67/4.03 2 ==> 2
% 3.67/4.03 end
% 3.67/4.03
% 3.67/4.03 subsumption: (288) {G0,W9,D2,L3,V2,M3} I { ! alpha44( X, Y ), alpha46( X, Y
% 3.67/4.03 ), ! nil = Y }.
% 3.67/4.03 parent0: (38713) {G0,W9,D2,L3,V2,M3} { ! alpha44( X, Y ), alpha46( X, Y )
% 3.67/4.04 , ! nil = Y }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 2 ==> 2
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (289) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), alpha44( X, Y
% 3.67/4.04 ) }.
% 3.67/4.04 parent0: (38714) {G0,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), alpha44( X, Y )
% 3.67/4.04 }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (290) {G0,W9,D2,L3,V2,M3} I { ! nil = X, nil = Y, alpha44( X,
% 3.67/4.04 Y ) }.
% 3.67/4.04 parent0: (38715) {G0,W9,D2,L3,V2,M3} { ! nil = X, nil = Y, alpha44( X, Y )
% 3.67/4.04 }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 2 ==> 2
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (291) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), nil = Y }.
% 3.67/4.04 parent0: (38716) {G0,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), nil = Y }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (292) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), ! nil = X }.
% 3.67/4.04 parent0: (38717) {G0,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), ! nil = X }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (293) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, nil = X, alpha46( X,
% 3.67/4.04 Y ) }.
% 3.67/4.04 parent0: (38718) {G0,W9,D2,L3,V2,M3} { ! nil = Y, nil = X, alpha46( X, Y )
% 3.67/4.04 }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 2 ==> 2
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 factor: (47237) {G0,W6,D2,L2,V1,M2} { ! nil = X, alpha45( X, X ) }.
% 3.67/4.04 parent0[0, 1]: (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha45
% 3.67/4.04 ( X, Y ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := X
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (377) {G1,W6,D2,L2,V1,M2} F(286) { ! nil = X, alpha45( X, X )
% 3.67/4.04 }.
% 3.67/4.04 parent0: (47237) {G0,W6,D2,L2,V1,M2} { ! nil = X, alpha45( X, X ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 eqswap: (47239) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! alpha44( Y, X ),
% 3.67/4.04 alpha46( Y, X ) }.
% 3.67/4.04 parent0[2]: (288) {G0,W9,D2,L3,V2,M3} I { ! alpha44( X, Y ), alpha46( X, Y
% 3.67/4.04 ), ! nil = Y }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := Y
% 3.67/4.04 Y := X
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 eqrefl: (47240) {G0,W6,D2,L2,V1,M2} { ! alpha44( X, nil ), alpha46( X, nil
% 3.67/4.04 ) }.
% 3.67/4.04 parent0[0]: (47239) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! alpha44( Y, X ),
% 3.67/4.04 alpha46( Y, X ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := nil
% 3.67/4.04 Y := X
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (381) {G1,W6,D2,L2,V1,M2} Q(288) { ! alpha44( X, nil ),
% 3.67/4.04 alpha46( X, nil ) }.
% 3.67/4.04 parent0: (47240) {G0,W6,D2,L2,V1,M2} { ! alpha44( X, nil ), alpha46( X,
% 3.67/4.04 nil ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 eqswap: (47241) {G0,W9,D2,L3,V2,M3} { ! X = nil, nil = Y, alpha44( X, Y )
% 3.67/4.04 }.
% 3.67/4.04 parent0[0]: (290) {G0,W9,D2,L3,V2,M3} I { ! nil = X, nil = Y, alpha44( X, Y
% 3.67/4.04 ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 eqrefl: (47244) {G0,W6,D2,L2,V1,M2} { nil = X, alpha44( nil, X ) }.
% 3.67/4.04 parent0[0]: (47241) {G0,W9,D2,L3,V2,M3} { ! X = nil, nil = Y, alpha44( X,
% 3.67/4.04 Y ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := nil
% 3.67/4.04 Y := X
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (382) {G1,W6,D2,L2,V1,M2} Q(290) { nil = X, alpha44( nil, X )
% 3.67/4.04 }.
% 3.67/4.04 parent0: (47244) {G0,W6,D2,L2,V1,M2} { nil = X, alpha44( nil, X ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 eqswap: (47246) {G0,W9,D2,L3,V2,M3} { ! X = nil, nil = Y, alpha46( Y, X )
% 3.67/4.04 }.
% 3.67/4.04 parent0[0]: (293) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, nil = X, alpha46( X, Y
% 3.67/4.04 ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := Y
% 3.67/4.04 Y := X
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 eqrefl: (47249) {G0,W6,D2,L2,V1,M2} { nil = X, alpha46( X, nil ) }.
% 3.67/4.04 parent0[0]: (47246) {G0,W9,D2,L3,V2,M3} { ! X = nil, nil = Y, alpha46( Y,
% 3.67/4.04 X ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := nil
% 3.67/4.04 Y := X
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (384) {G1,W6,D2,L2,V1,M2} Q(293) { nil = X, alpha46( X, nil )
% 3.67/4.04 }.
% 3.67/4.04 parent0: (47249) {G0,W6,D2,L2,V1,M2} { nil = X, alpha46( X, nil ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 1 ==> 1
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 resolution: (47251) {G1,W3,D2,L1,V0,M1} { rearsegP( skol49, nil ) }.
% 3.67/4.04 parent0[0]: (207) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, nil )
% 3.67/4.04 }.
% 3.67/4.04 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := skol49
% 3.67/4.04 end
% 3.67/4.04 substitution1:
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (519) {G1,W3,D2,L1,V0,M1} R(207,276) { rearsegP( skol49, nil )
% 3.67/4.04 }.
% 3.67/4.04 parent0: (47251) {G1,W3,D2,L1,V0,M1} { rearsegP( skol49, nil ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 0
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 eqswap: (47252) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha46( Y, X ) }.
% 3.67/4.04 parent0[1]: (291) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), nil = Y }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := Y
% 3.67/4.04 Y := X
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 eqswap: (47253) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha46( X, Y ) }.
% 3.67/4.04 parent0[1]: (292) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), ! nil = X }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 resolution: (47254) {G1,W6,D2,L2,V3,M2} { ! alpha46( X, Y ), ! alpha46( Z
% 3.67/4.04 , X ) }.
% 3.67/4.04 parent0[0]: (47253) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha46( X, Y ) }.
% 3.67/4.04 parent1[0]: (47252) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha46( Y, X ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Y
% 3.67/4.04 end
% 3.67/4.04 substitution1:
% 3.67/4.04 X := X
% 3.67/4.04 Y := Z
% 3.67/4.04 end
% 3.67/4.04
% 3.67/4.04 subsumption: (719) {G1,W6,D2,L2,V3,M2} R(291,292) { ! alpha46( X, Y ), !
% 3.67/4.04 alpha46( Y, Z ) }.
% 3.67/4.04 parent0: (47254) {G1,W6,D2,L2,V3,M2} { ! alpha46( X, Y ), ! alpha46( Z, X
% 3.67/4.04 ) }.
% 3.67/4.04 substitution0:
% 3.67/4.04 X := Y
% 3.67/4.04 Y := Z
% 3.67/4.04 Z := X
% 3.67/4.04 end
% 3.67/4.04 permutation0:
% 3.67/4.04 0 ==> 1
% 4.85/5.23 1 ==> 0
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47257) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha46( X, Y ) }.
% 4.85/5.23 parent0[1]: (292) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), ! nil = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 paramod: (47306) {G1,W9,D2,L3,V4,M3} { ! X = Y, ! alpha46( Z, Y ), !
% 4.85/5.23 alpha46( X, T ) }.
% 4.85/5.23 parent0[1]: (291) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), nil = Y }.
% 4.85/5.23 parent1[0; 3]: (47257) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha46( X, Y )
% 4.85/5.23 }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := Z
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 X := X
% 4.85/5.23 Y := T
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47307) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha46( Z, Y ), !
% 4.85/5.23 alpha46( X, T ) }.
% 4.85/5.23 parent0[0]: (47306) {G1,W9,D2,L3,V4,M3} { ! X = Y, ! alpha46( Z, Y ), !
% 4.85/5.23 alpha46( X, T ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 Z := Z
% 4.85/5.23 T := T
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (722) {G1,W9,D2,L3,V4,M3} P(291,292) { ! alpha46( Y, Z ), ! X
% 4.85/5.23 = Y, ! alpha46( T, X ) }.
% 4.85/5.23 parent0: (47307) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha46( Z, Y ), !
% 4.85/5.23 alpha46( X, T ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := Y
% 4.85/5.23 Y := X
% 4.85/5.23 Z := T
% 4.85/5.23 T := Z
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 1
% 4.85/5.23 1 ==> 2
% 4.85/5.23 2 ==> 0
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 factor: (47311) {G1,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), ! Y = X }.
% 4.85/5.23 parent0[0, 2]: (722) {G1,W9,D2,L3,V4,M3} P(291,292) { ! alpha46( Y, Z ), !
% 4.85/5.23 X = Y, ! alpha46( T, X ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := Y
% 4.85/5.23 Y := X
% 4.85/5.23 Z := Y
% 4.85/5.23 T := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (789) {G2,W6,D2,L2,V2,M2} F(722) { ! alpha46( X, Y ), ! Y = X
% 4.85/5.23 }.
% 4.85/5.23 parent0: (47311) {G1,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), ! Y = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 0
% 4.85/5.23 1 ==> 1
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 paramod: (47336) {G1,W6,D2,L2,V2,M2} { rearsegP( skol49, X ), ! alpha45( X
% 4.85/5.23 , Y ) }.
% 4.85/5.23 parent0[1]: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), nil = X }.
% 4.85/5.23 parent1[0; 2]: (519) {G1,W3,D2,L1,V0,M1} R(207,276) { rearsegP( skol49, nil
% 4.85/5.23 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (1116) {G2,W6,D2,L2,V2,M2} P(285,519) { rearsegP( skol49, X )
% 4.85/5.23 , ! alpha45( X, Y ) }.
% 4.85/5.23 parent0: (47336) {G1,W6,D2,L2,V2,M2} { rearsegP( skol49, X ), ! alpha45( X
% 4.85/5.23 , Y ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 0
% 4.85/5.23 1 ==> 1
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47337) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha45( Y, X ) }.
% 4.85/5.23 parent0[1]: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), nil = Y }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := Y
% 4.85/5.23 Y := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47338) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha46( X, Y ) }.
% 4.85/5.23 parent0[1]: (292) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), ! nil = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47339) {G1,W6,D2,L2,V3,M2} { ! alpha46( X, Y ), ! alpha45( Z
% 4.85/5.23 , X ) }.
% 4.85/5.23 parent0[0]: (47338) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha46( X, Y ) }.
% 4.85/5.23 parent1[0]: (47337) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha45( Y, X ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Z
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (1488) {G1,W6,D2,L2,V3,M2} R(284,292) { ! alpha45( X, Y ), !
% 4.85/5.23 alpha46( Y, Z ) }.
% 4.85/5.23 parent0: (47339) {G1,W6,D2,L2,V3,M2} { ! alpha46( X, Y ), ! alpha45( Z, X
% 4.85/5.23 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := Y
% 4.85/5.23 Y := Z
% 4.85/5.23 Z := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 1
% 4.85/5.23 1 ==> 0
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47340) {G1,W6,D2,L2,V1,M2} { X = nil, alpha46( X, nil ) }.
% 4.85/5.23 parent0[0]: (384) {G1,W6,D2,L2,V1,M2} Q(293) { nil = X, alpha46( X, nil )
% 4.85/5.23 }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47341) {G1,W6,D2,L2,V1,M2} { alpha44( X, nil ), X = nil }.
% 4.85/5.23 parent0[0]: (289) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), alpha44( X, Y
% 4.85/5.23 ) }.
% 4.85/5.23 parent1[1]: (47340) {G1,W6,D2,L2,V1,M2} { X = nil, alpha46( X, nil ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := nil
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47342) {G1,W6,D2,L2,V1,M2} { nil = X, alpha44( X, nil ) }.
% 4.85/5.23 parent0[1]: (47341) {G1,W6,D2,L2,V1,M2} { alpha44( X, nil ), X = nil }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (7078) {G2,W6,D2,L2,V1,M2} R(384,289) { nil = X, alpha44( X,
% 4.85/5.23 nil ) }.
% 4.85/5.23 parent0: (47342) {G1,W6,D2,L2,V1,M2} { nil = X, alpha44( X, nil ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 0
% 4.85/5.23 1 ==> 1
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 *** allocated 15000 integers for justifications
% 4.85/5.23 *** allocated 22500 integers for justifications
% 4.85/5.23 paramod: (47355) {G1,W5,D2,L2,V1,M2} { ssList( X ), alpha46( X, nil ) }.
% 4.85/5.23 parent0[0]: (384) {G1,W6,D2,L2,V1,M2} Q(293) { nil = X, alpha46( X, nil )
% 4.85/5.23 }.
% 4.85/5.23 parent1[0; 1]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (7301) {G2,W5,D2,L2,V1,M2} P(384,161) { ssList( X ), alpha46(
% 4.85/5.23 X, nil ) }.
% 4.85/5.23 parent0: (47355) {G1,W5,D2,L2,V1,M2} { ssList( X ), alpha46( X, nil ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 0
% 4.85/5.23 1 ==> 1
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47809) {G2,W6,D2,L2,V2,M2} { ! Y = X, ! alpha46( Y, X ) }.
% 4.85/5.23 parent0[1]: (789) {G2,W6,D2,L2,V2,M2} F(722) { ! alpha46( X, Y ), ! Y = X
% 4.85/5.23 }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := Y
% 4.85/5.23 Y := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47810) {G3,W5,D2,L2,V1,M2} { ! X = nil, ssList( X ) }.
% 4.85/5.23 parent0[1]: (47809) {G2,W6,D2,L2,V2,M2} { ! Y = X, ! alpha46( Y, X ) }.
% 4.85/5.23 parent1[1]: (7301) {G2,W5,D2,L2,V1,M2} P(384,161) { ssList( X ), alpha46( X
% 4.85/5.23 , nil ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := nil
% 4.85/5.23 Y := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47811) {G3,W5,D2,L2,V1,M2} { ! nil = X, ssList( X ) }.
% 4.85/5.23 parent0[0]: (47810) {G3,W5,D2,L2,V1,M2} { ! X = nil, ssList( X ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (7336) {G3,W5,D2,L2,V1,M2} R(7301,789) { ssList( X ), ! nil =
% 4.85/5.23 X }.
% 4.85/5.23 parent0: (47811) {G3,W5,D2,L2,V1,M2} { ! nil = X, ssList( X ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 1
% 4.85/5.23 1 ==> 0
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47812) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 4.85/5.23 ), ! neq( X, Y ) }.
% 4.85/5.23 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 4.85/5.23 neq( X, Y ), ! X = Y }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47814) {G1,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ), ! neq
% 4.85/5.23 ( nil, X ) }.
% 4.85/5.23 parent0[1]: (47812) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 4.85/5.23 ssList( Y ), ! neq( X, Y ) }.
% 4.85/5.23 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := nil
% 4.85/5.23 Y := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47818) {G2,W9,D2,L3,V1,M3} { ! X = nil, ! neq( nil, X ), !
% 4.85/5.23 nil = X }.
% 4.85/5.23 parent0[1]: (47814) {G1,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ), ! neq
% 4.85/5.23 ( nil, X ) }.
% 4.85/5.23 parent1[0]: (7336) {G3,W5,D2,L2,V1,M2} R(7301,789) { ssList( X ), ! nil = X
% 4.85/5.23 }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47819) {G2,W9,D2,L3,V1,M3} { ! nil = X, ! neq( nil, X ), ! nil =
% 4.85/5.23 X }.
% 4.85/5.23 parent0[0]: (47818) {G2,W9,D2,L3,V1,M3} { ! X = nil, ! neq( nil, X ), !
% 4.85/5.23 nil = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 factor: (47821) {G2,W6,D2,L2,V1,M2} { ! nil = X, ! neq( nil, X ) }.
% 4.85/5.23 parent0[0, 2]: (47819) {G2,W9,D2,L3,V1,M3} { ! nil = X, ! neq( nil, X ), !
% 4.85/5.23 nil = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (11406) {G4,W6,D2,L2,V1,M2} R(158,161);r(7336) { ! neq( nil, X
% 4.85/5.23 ), ! nil = X }.
% 4.85/5.23 parent0: (47821) {G2,W6,D2,L2,V1,M2} { ! nil = X, ! neq( nil, X ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 1
% 4.85/5.23 1 ==> 0
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47823) {G1,W6,D2,L2,V1,M2} { X = nil, alpha44( nil, X ) }.
% 4.85/5.23 parent0[0]: (382) {G1,W6,D2,L2,V1,M2} Q(290) { nil = X, alpha44( nil, X )
% 4.85/5.23 }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47824) {G4,W6,D2,L2,V1,M2} { ! X = nil, ! neq( nil, X ) }.
% 4.85/5.23 parent0[1]: (11406) {G4,W6,D2,L2,V1,M2} R(158,161);r(7336) { ! neq( nil, X
% 4.85/5.23 ), ! nil = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47825) {G2,W6,D2,L2,V1,M2} { ! neq( nil, X ), alpha44( nil, X
% 4.85/5.23 ) }.
% 4.85/5.23 parent0[0]: (47824) {G4,W6,D2,L2,V1,M2} { ! X = nil, ! neq( nil, X ) }.
% 4.85/5.23 parent1[0]: (47823) {G1,W6,D2,L2,V1,M2} { X = nil, alpha44( nil, X ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (18593) {G5,W6,D2,L2,V1,M2} R(382,11406) { alpha44( nil, X ),
% 4.85/5.23 ! neq( nil, X ) }.
% 4.85/5.23 parent0: (47825) {G2,W6,D2,L2,V1,M2} { ! neq( nil, X ), alpha44( nil, X )
% 4.85/5.23 }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 1
% 4.85/5.23 1 ==> 0
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47826) {G2,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ),
% 4.85/5.23 rearsegP( skol49, skol46 ) }.
% 4.85/5.23 parent0[1]: (1116) {G2,W6,D2,L2,V2,M2} P(285,519) { rearsegP( skol49, X ),
% 4.85/5.23 ! alpha45( X, Y ) }.
% 4.85/5.23 parent1[0]: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279);d(280) {
% 4.85/5.23 alpha45( skol46, skol49 ), rearsegP( skol49, skol46 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := skol46
% 4.85/5.23 Y := skol49
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 factor: (47827) {G2,W3,D2,L1,V0,M1} { rearsegP( skol49, skol46 ) }.
% 4.85/5.23 parent0[0, 1]: (47826) {G2,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ),
% 4.85/5.23 rearsegP( skol49, skol46 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (20340) {G3,W3,D2,L1,V0,M1} S(283);r(1116) { rearsegP( skol49
% 4.85/5.23 , skol46 ) }.
% 4.85/5.23 parent0: (47827) {G2,W3,D2,L1,V0,M1} { rearsegP( skol49, skol46 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 0
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47828) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha45( X, Y ) }.
% 4.85/5.23 parent0[1]: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), nil = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 Y := Y
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 paramod: (47829) {G1,W6,D2,L2,V1,M2} { rearsegP( nil, skol46 ), ! alpha45
% 4.85/5.23 ( skol49, X ) }.
% 4.85/5.23 parent0[0]: (47828) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha45( X, Y ) }.
% 4.85/5.23 parent1[0; 1]: (20340) {G3,W3,D2,L1,V0,M1} S(283);r(1116) { rearsegP(
% 4.85/5.23 skol49, skol46 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := skol49
% 4.85/5.23 Y := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (20376) {G4,W6,D2,L2,V1,M2} P(285,20340) { rearsegP( nil,
% 4.85/5.23 skol46 ), ! alpha45( skol49, X ) }.
% 4.85/5.23 parent0: (47829) {G1,W6,D2,L2,V1,M2} { rearsegP( nil, skol46 ), ! alpha45
% 4.85/5.23 ( skol49, X ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 0
% 4.85/5.23 1 ==> 1
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47851) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha46( Y, X ) }.
% 4.85/5.23 parent0[1]: (291) {G0,W6,D2,L2,V2,M2} I { ! alpha46( X, Y ), nil = Y }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := Y
% 4.85/5.23 Y := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 paramod: (47852) {G1,W6,D2,L2,V1,M2} { rearsegP( nil, skol46 ), ! alpha46
% 4.85/5.23 ( X, skol49 ) }.
% 4.85/5.23 parent0[0]: (47851) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha46( Y, X ) }.
% 4.85/5.23 parent1[0; 1]: (20340) {G3,W3,D2,L1,V0,M1} S(283);r(1116) { rearsegP(
% 4.85/5.23 skol49, skol46 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := skol49
% 4.85/5.23 Y := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (20377) {G4,W6,D2,L2,V1,M2} P(291,20340) { rearsegP( nil,
% 4.85/5.23 skol46 ), ! alpha46( X, skol49 ) }.
% 4.85/5.23 parent0: (47852) {G1,W6,D2,L2,V1,M2} { rearsegP( nil, skol46 ), ! alpha46
% 4.85/5.23 ( X, skol49 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 0
% 4.85/5.23 1 ==> 1
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47874) {G0,W8,D2,L3,V1,M3} { X = nil, ! ssList( X ), ! rearsegP(
% 4.85/5.23 nil, X ) }.
% 4.85/5.23 parent0[2]: (208) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! rearsegP( nil, X
% 4.85/5.23 ), nil = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47875) {G1,W8,D2,L3,V1,M3} { skol46 = nil, ! ssList( skol46 )
% 4.85/5.23 , ! alpha45( skol49, X ) }.
% 4.85/5.23 parent0[2]: (47874) {G0,W8,D2,L3,V1,M3} { X = nil, ! ssList( X ), !
% 4.85/5.23 rearsegP( nil, X ) }.
% 4.85/5.23 parent1[0]: (20376) {G4,W6,D2,L2,V1,M2} P(285,20340) { rearsegP( nil,
% 4.85/5.23 skol46 ), ! alpha45( skol49, X ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := skol46
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47876) {G1,W6,D2,L2,V1,M2} { skol46 = nil, ! alpha45( skol49
% 4.85/5.23 , X ) }.
% 4.85/5.23 parent0[1]: (47875) {G1,W8,D2,L3,V1,M3} { skol46 = nil, ! ssList( skol46 )
% 4.85/5.23 , ! alpha45( skol49, X ) }.
% 4.85/5.23 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (24043) {G5,W6,D2,L2,V1,M2} R(20376,208);r(275) { ! alpha45(
% 4.85/5.23 skol49, X ), skol46 ==> nil }.
% 4.85/5.23 parent0: (47876) {G1,W6,D2,L2,V1,M2} { skol46 = nil, ! alpha45( skol49, X
% 4.85/5.23 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 permutation0:
% 4.85/5.23 0 ==> 1
% 4.85/5.23 1 ==> 0
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 eqswap: (47878) {G0,W8,D2,L3,V1,M3} { X = nil, ! ssList( X ), ! rearsegP(
% 4.85/5.23 nil, X ) }.
% 4.85/5.23 parent0[2]: (208) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! rearsegP( nil, X
% 4.85/5.23 ), nil = X }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47879) {G1,W8,D2,L3,V1,M3} { skol46 = nil, ! ssList( skol46 )
% 4.85/5.23 , ! alpha46( X, skol49 ) }.
% 4.85/5.23 parent0[2]: (47878) {G0,W8,D2,L3,V1,M3} { X = nil, ! ssList( X ), !
% 4.85/5.23 rearsegP( nil, X ) }.
% 4.85/5.23 parent1[0]: (20377) {G4,W6,D2,L2,V1,M2} P(291,20340) { rearsegP( nil,
% 4.85/5.23 skol46 ), ! alpha46( X, skol49 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := skol46
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 resolution: (47880) {G1,W6,D2,L2,V1,M2} { skol46 = nil, ! alpha46( X,
% 4.85/5.23 skol49 ) }.
% 4.85/5.23 parent0[1]: (47879) {G1,W8,D2,L3,V1,M3} { skol46 = nil, ! ssList( skol46 )
% 4.85/5.23 , ! alpha46( X, skol49 ) }.
% 4.85/5.23 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 4.85/5.23 substitution0:
% 4.85/5.23 X := X
% 4.85/5.23 end
% 4.85/5.23 substitution1:
% 4.85/5.23 end
% 4.85/5.23
% 4.85/5.23 subsumption: (25489) {G5,W6,D2,L2,V1,M2} R(20377,208);r(275) { ! alpha46( X
% 42.92/43.31 , skol49 ), skol46 ==> nil }.
% 42.92/43.31 parent0: (47880) {G1,W6,D2,L2,V1,M2} { skol46 = nil, ! alpha46( X, skol49
% 42.92/43.31 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 1
% 42.92/43.31 1 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 *** allocated 33750 integers for justifications
% 42.92/43.31 *** allocated 50625 integers for justifications
% 42.92/43.31 *** allocated 75937 integers for justifications
% 42.92/43.31 *** allocated 1297440 integers for termspace/termends
% 42.92/43.31 *** allocated 113905 integers for justifications
% 42.92/43.31 *** allocated 170857 integers for justifications
% 42.92/43.31 *** allocated 2919240 integers for clauses
% 42.92/43.31 *** allocated 256285 integers for justifications
% 42.92/43.31 paramod: (47896) {G3,W9,D2,L3,V2,M3} { ! neq( Y, X ), alpha44( Y, nil ),
% 42.92/43.31 alpha44( nil, X ) }.
% 42.92/43.31 parent0[0]: (7078) {G2,W6,D2,L2,V1,M2} R(384,289) { nil = X, alpha44( X,
% 42.92/43.31 nil ) }.
% 42.92/43.31 parent1[1; 2]: (18593) {G5,W6,D2,L2,V1,M2} R(382,11406) { alpha44( nil, X )
% 42.92/43.31 , ! neq( nil, X ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := Y
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 paramod: (47898) {G3,W12,D2,L4,V3,M4} { alpha44( Y, X ), alpha44( Y, nil )
% 42.92/43.31 , ! neq( Z, X ), alpha44( Z, nil ) }.
% 42.92/43.31 parent0[0]: (7078) {G2,W6,D2,L2,V1,M2} R(384,289) { nil = X, alpha44( X,
% 42.92/43.31 nil ) }.
% 42.92/43.31 parent1[2; 1]: (47896) {G3,W9,D2,L3,V2,M3} { ! neq( Y, X ), alpha44( Y,
% 42.92/43.31 nil ), alpha44( nil, X ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := Y
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 X := X
% 42.92/43.31 Y := Z
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 factor: (47919) {G3,W9,D2,L3,V2,M3} { alpha44( X, Y ), alpha44( X, nil ),
% 42.92/43.31 ! neq( X, Y ) }.
% 42.92/43.31 parent0[1, 3]: (47898) {G3,W12,D2,L4,V3,M4} { alpha44( Y, X ), alpha44( Y
% 42.92/43.31 , nil ), ! neq( Z, X ), alpha44( Z, nil ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := Y
% 42.92/43.31 Y := X
% 42.92/43.31 Z := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (28196) {G6,W9,D2,L3,V2,M3} P(7078,18593) { alpha44( X, Y ), !
% 42.92/43.31 neq( X, Y ), alpha44( X, nil ) }.
% 42.92/43.31 parent0: (47919) {G3,W9,D2,L3,V2,M3} { alpha44( X, Y ), alpha44( X, nil )
% 42.92/43.31 , ! neq( X, Y ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 Y := Y
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 0
% 42.92/43.31 1 ==> 2
% 42.92/43.31 2 ==> 1
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 factor: (53031) {G6,W6,D2,L2,V1,M2} { alpha44( X, nil ), ! neq( X, nil )
% 42.92/43.31 }.
% 42.92/43.31 parent0[0, 2]: (28196) {G6,W9,D2,L3,V2,M3} P(7078,18593) { alpha44( X, Y )
% 42.92/43.31 , ! neq( X, Y ), alpha44( X, nil ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 Y := nil
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (28207) {G7,W6,D2,L2,V1,M2} F(28196) { alpha44( X, nil ), !
% 42.92/43.31 neq( X, nil ) }.
% 42.92/43.31 parent0: (53031) {G6,W6,D2,L2,V1,M2} { alpha44( X, nil ), ! neq( X, nil )
% 42.92/43.31 }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 0
% 42.92/43.31 1 ==> 1
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53033) {G2,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), ! alpha44( Y
% 42.92/43.31 , nil ) }.
% 42.92/43.31 parent0[1]: (719) {G1,W6,D2,L2,V3,M2} R(291,292) { ! alpha46( X, Y ), !
% 42.92/43.31 alpha46( Y, Z ) }.
% 42.92/43.31 parent1[1]: (381) {G1,W6,D2,L2,V1,M2} Q(288) { ! alpha44( X, nil ), alpha46
% 42.92/43.31 ( X, nil ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 Y := Y
% 42.92/43.31 Z := nil
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 X := Y
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (30932) {G2,W6,D2,L2,V2,M2} R(381,719) { ! alpha44( X, nil ),
% 42.92/43.31 ! alpha46( Y, X ) }.
% 42.92/43.31 parent0: (53033) {G2,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), ! alpha44( Y,
% 42.92/43.31 nil ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := Y
% 42.92/43.31 Y := X
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 1
% 42.92/43.31 1 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53034) {G3,W6,D2,L2,V2,M2} { ! alpha46( Y, X ), ! neq( X, nil
% 42.92/43.31 ) }.
% 42.92/43.31 parent0[0]: (30932) {G2,W6,D2,L2,V2,M2} R(381,719) { ! alpha44( X, nil ), !
% 42.92/43.31 alpha46( Y, X ) }.
% 42.92/43.31 parent1[0]: (28207) {G7,W6,D2,L2,V1,M2} F(28196) { alpha44( X, nil ), ! neq
% 42.92/43.31 ( X, nil ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 Y := Y
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (32280) {G8,W6,D2,L2,V2,M2} R(30932,28207) { ! alpha46( X, Y )
% 42.92/43.31 , ! neq( Y, nil ) }.
% 42.92/43.31 parent0: (53034) {G3,W6,D2,L2,V2,M2} { ! alpha46( Y, X ), ! neq( X, nil )
% 42.92/43.31 }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := Y
% 42.92/43.31 Y := X
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 0
% 42.92/43.31 1 ==> 1
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53035) {G1,W6,D2,L2,V1,M2} { ! X = nil, alpha45( X, X ) }.
% 42.92/43.31 parent0[0]: (377) {G1,W6,D2,L2,V1,M2} F(286) { ! nil = X, alpha45( X, X )
% 42.92/43.31 }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53036) {G5,W6,D2,L2,V1,M2} { nil ==> skol46, ! alpha45( skol49, X
% 42.92/43.31 ) }.
% 42.92/43.31 parent0[1]: (24043) {G5,W6,D2,L2,V1,M2} R(20376,208);r(275) { ! alpha45(
% 42.92/43.31 skol49, X ), skol46 ==> nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53037) {G2,W6,D2,L2,V0,M2} { nil ==> skol46, ! skol49 = nil
% 42.92/43.31 }.
% 42.92/43.31 parent0[1]: (53036) {G5,W6,D2,L2,V1,M2} { nil ==> skol46, ! alpha45(
% 42.92/43.31 skol49, X ) }.
% 42.92/43.31 parent1[1]: (53035) {G1,W6,D2,L2,V1,M2} { ! X = nil, alpha45( X, X ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := skol49
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 X := skol49
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53038) {G2,W6,D2,L2,V0,M2} { skol46 ==> nil, ! skol49 = nil }.
% 42.92/43.31 parent0[0]: (53037) {G2,W6,D2,L2,V0,M2} { nil ==> skol46, ! skol49 = nil
% 42.92/43.31 }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (33768) {G6,W6,D2,L2,V0,M2} R(377,24043) { ! skol49 ==> nil,
% 42.92/43.31 skol46 ==> nil }.
% 42.92/43.31 parent0: (53038) {G2,W6,D2,L2,V0,M2} { skol46 ==> nil, ! skol49 = nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 1
% 42.92/43.31 1 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53041) {G2,W6,D2,L2,V1,M2} { ! alpha46( X, skol46 ), alpha45
% 42.92/43.31 ( skol46, skol49 ) }.
% 42.92/43.31 parent0[1]: (32280) {G8,W6,D2,L2,V2,M2} R(30932,28207) { ! alpha46( X, Y )
% 42.92/43.31 , ! neq( Y, nil ) }.
% 42.92/43.31 parent1[0]: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { neq( skol46
% 42.92/43.31 , nil ), alpha45( skol46, skol49 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 Y := skol46
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (37222) {G9,W6,D2,L2,V1,M2} R(282,32280) { alpha45( skol46,
% 42.92/43.31 skol49 ), ! alpha46( X, skol46 ) }.
% 42.92/43.31 parent0: (53041) {G2,W6,D2,L2,V1,M2} { ! alpha46( X, skol46 ), alpha45(
% 42.92/43.31 skol46, skol49 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 1
% 42.92/43.31 1 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53042) {G2,W6,D2,L2,V2,M2} { ! alpha46( skol49, X ), !
% 42.92/43.31 alpha46( Y, skol46 ) }.
% 42.92/43.31 parent0[0]: (1488) {G1,W6,D2,L2,V3,M2} R(284,292) { ! alpha45( X, Y ), !
% 42.92/43.31 alpha46( Y, Z ) }.
% 42.92/43.31 parent1[0]: (37222) {G9,W6,D2,L2,V1,M2} R(282,32280) { alpha45( skol46,
% 42.92/43.31 skol49 ), ! alpha46( X, skol46 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := skol46
% 42.92/43.31 Y := skol49
% 42.92/43.31 Z := X
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 X := Y
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (37329) {G10,W6,D2,L2,V2,M2} R(37222,1488) { ! alpha46( X,
% 42.92/43.31 skol46 ), ! alpha46( skol49, Y ) }.
% 42.92/43.31 parent0: (53042) {G2,W6,D2,L2,V2,M2} { ! alpha46( skol49, X ), ! alpha46(
% 42.92/43.31 Y, skol46 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := Y
% 42.92/43.31 Y := X
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 1
% 42.92/43.31 1 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 factor: (53044) {G10,W3,D2,L1,V0,M1} { ! alpha46( skol49, skol46 ) }.
% 42.92/43.31 parent0[0, 1]: (37329) {G10,W6,D2,L2,V2,M2} R(37222,1488) { ! alpha46( X,
% 42.92/43.31 skol46 ), ! alpha46( skol49, Y ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := skol49
% 42.92/43.31 Y := skol46
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (37339) {G11,W3,D2,L1,V0,M1} F(37329) { ! alpha46( skol49,
% 42.92/43.31 skol46 ) }.
% 42.92/43.31 parent0: (53044) {G10,W3,D2,L1,V0,M1} { ! alpha46( skol49, skol46 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53045) {G0,W9,D2,L3,V2,M3} { X = nil, ! alpha44( X, Y ), alpha46
% 42.92/43.31 ( X, Y ) }.
% 42.92/43.31 parent0[2]: (287) {G0,W9,D2,L3,V2,M3} I { ! alpha44( X, Y ), alpha46( X, Y
% 42.92/43.31 ), nil = X }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 Y := Y
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53046) {G5,W6,D2,L2,V1,M2} { nil ==> skol46, ! alpha46( X, skol49
% 42.92/43.31 ) }.
% 42.92/43.31 parent0[1]: (25489) {G5,W6,D2,L2,V1,M2} R(20377,208);r(275) { ! alpha46( X
% 42.92/43.31 , skol49 ), skol46 ==> nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53047) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha46( skol46,
% 42.92/43.31 skol49 ) }.
% 42.92/43.31 parent0[1]: (53045) {G0,W9,D2,L3,V2,M3} { X = nil, ! alpha44( X, Y ),
% 42.92/43.31 alpha46( X, Y ) }.
% 42.92/43.31 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { alpha44( skol46, skol49 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := skol46
% 42.92/43.31 Y := skol49
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53048) {G2,W6,D2,L2,V0,M2} { nil ==> skol46, skol46 = nil }.
% 42.92/43.31 parent0[1]: (53046) {G5,W6,D2,L2,V1,M2} { nil ==> skol46, ! alpha46( X,
% 42.92/43.31 skol49 ) }.
% 42.92/43.31 parent1[1]: (53047) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha46( skol46,
% 42.92/43.31 skol49 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := skol46
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53049) {G2,W6,D2,L2,V0,M2} { skol46 ==> nil, skol46 = nil }.
% 42.92/43.31 parent0[0]: (53048) {G2,W6,D2,L2,V0,M2} { nil ==> skol46, skol46 = nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 factor: (53052) {G2,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 42.92/43.31 parent0[0, 1]: (53049) {G2,W6,D2,L2,V0,M2} { skol46 ==> nil, skol46 = nil
% 42.92/43.31 }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (37739) {G6,W3,D2,L1,V0,M1} R(287,281);r(25489) { skol46 ==>
% 42.92/43.31 nil }.
% 42.92/43.31 parent0: (53052) {G2,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53054) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! alpha44( Y, X ),
% 42.92/43.31 alpha46( Y, X ) }.
% 42.92/43.31 parent0[2]: (288) {G0,W9,D2,L3,V2,M3} I { ! alpha44( X, Y ), alpha46( X, Y
% 42.92/43.31 ), ! nil = Y }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := Y
% 42.92/43.31 Y := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53055) {G6,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil }.
% 42.92/43.31 parent0[0]: (33768) {G6,W6,D2,L2,V0,M2} R(377,24043) { ! skol49 ==> nil,
% 42.92/43.31 skol46 ==> nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53058) {G2,W6,D2,L2,V2,M2} { ! Y = X, ! alpha46( Y, X ) }.
% 42.92/43.31 parent0[1]: (789) {G2,W6,D2,L2,V2,M2} F(722) { ! alpha46( X, Y ), ! Y = X
% 42.92/43.31 }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := Y
% 42.92/43.31 Y := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53059) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, alpha46( skol46
% 42.92/43.31 , skol49 ) }.
% 42.92/43.31 parent0[1]: (53054) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! alpha44( Y, X ),
% 42.92/43.31 alpha46( Y, X ) }.
% 42.92/43.31 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { alpha44( skol46, skol49 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := skol49
% 42.92/43.31 Y := skol46
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 paramod: (53060) {G2,W9,D2,L3,V0,M3} { alpha46( nil, skol49 ), ! nil ==>
% 42.92/43.31 skol49, ! skol49 = nil }.
% 42.92/43.31 parent0[1]: (53055) {G6,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil
% 42.92/43.31 }.
% 42.92/43.31 parent1[1; 1]: (53059) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, alpha46(
% 42.92/43.31 skol46, skol49 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53061) {G3,W9,D2,L3,V0,M3} { ! nil = skol49, ! nil ==> skol49
% 42.92/43.31 , ! skol49 = nil }.
% 42.92/43.31 parent0[1]: (53058) {G2,W6,D2,L2,V2,M2} { ! Y = X, ! alpha46( Y, X ) }.
% 42.92/43.31 parent1[0]: (53060) {G2,W9,D2,L3,V0,M3} { alpha46( nil, skol49 ), ! nil
% 42.92/43.31 ==> skol49, ! skol49 = nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := skol49
% 42.92/43.31 Y := nil
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53063) {G3,W9,D2,L3,V0,M3} { ! skol49 ==> nil, ! nil = skol49, !
% 42.92/43.31 skol49 = nil }.
% 42.92/43.31 parent0[1]: (53061) {G3,W9,D2,L3,V0,M3} { ! nil = skol49, ! nil ==> skol49
% 42.92/43.31 , ! skol49 = nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53066) {G3,W9,D2,L3,V0,M3} { ! skol49 = nil, ! skol49 ==> nil, !
% 42.92/43.31 skol49 = nil }.
% 42.92/43.31 parent0[1]: (53063) {G3,W9,D2,L3,V0,M3} { ! skol49 ==> nil, ! nil = skol49
% 42.92/43.31 , ! skol49 = nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 factor: (53068) {G3,W6,D2,L2,V0,M2} { ! skol49 = nil, ! skol49 = nil }.
% 42.92/43.31 parent0[0, 1]: (53066) {G3,W9,D2,L3,V0,M3} { ! skol49 = nil, ! skol49 ==>
% 42.92/43.31 nil, ! skol49 = nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 factor: (53069) {G3,W3,D2,L1,V0,M1} { ! skol49 = nil }.
% 42.92/43.31 parent0[0, 1]: (53068) {G3,W6,D2,L2,V0,M2} { ! skol49 = nil, ! skol49 =
% 42.92/43.31 nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (38334) {G7,W3,D2,L1,V0,M1} R(288,281);d(33768);r(789) { !
% 42.92/43.31 skol49 ==> nil }.
% 42.92/43.31 parent0: (53069) {G3,W3,D2,L1,V0,M1} { ! skol49 = nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 paramod: (53075) {G7,W3,D2,L1,V0,M1} { ! alpha46( skol49, nil ) }.
% 42.92/43.31 parent0[0]: (37739) {G6,W3,D2,L1,V0,M1} R(287,281);r(25489) { skol46 ==>
% 42.92/43.31 nil }.
% 42.92/43.31 parent1[0; 3]: (37339) {G11,W3,D2,L1,V0,M1} F(37329) { ! alpha46( skol49,
% 42.92/43.31 skol46 ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (38396) {G12,W3,D2,L1,V0,M1} S(37339);d(37739) { ! alpha46(
% 42.92/43.31 skol49, nil ) }.
% 42.92/43.31 parent0: (53075) {G7,W3,D2,L1,V0,M1} { ! alpha46( skol49, nil ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53076) {G0,W9,D2,L3,V2,M3} { X = nil, ! alpha44( X, Y ), alpha46
% 42.92/43.31 ( X, Y ) }.
% 42.92/43.31 parent0[2]: (287) {G0,W9,D2,L3,V2,M3} I { ! alpha44( X, Y ), alpha46( X, Y
% 42.92/43.31 ), nil = X }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 Y := Y
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 eqswap: (53077) {G2,W6,D2,L2,V1,M2} { X = nil, alpha44( X, nil ) }.
% 42.92/43.31 parent0[0]: (7078) {G2,W6,D2,L2,V1,M2} R(384,289) { nil = X, alpha44( X,
% 42.92/43.31 nil ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 X := X
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53078) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! alpha44( skol49
% 42.92/43.31 , nil ) }.
% 42.92/43.31 parent0[0]: (38396) {G12,W3,D2,L1,V0,M1} S(37339);d(37739) { ! alpha46(
% 42.92/43.31 skol49, nil ) }.
% 42.92/43.31 parent1[2]: (53076) {G0,W9,D2,L3,V2,M3} { X = nil, ! alpha44( X, Y ),
% 42.92/43.31 alpha46( X, Y ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 X := skol49
% 42.92/43.31 Y := nil
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53079) {G2,W6,D2,L2,V0,M2} { skol49 = nil, skol49 = nil }.
% 42.92/43.31 parent0[1]: (53078) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! alpha44( skol49
% 42.92/43.31 , nil ) }.
% 42.92/43.31 parent1[1]: (53077) {G2,W6,D2,L2,V1,M2} { X = nil, alpha44( X, nil ) }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 X := skol49
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 factor: (53080) {G2,W3,D2,L1,V0,M1} { skol49 = nil }.
% 42.92/43.31 parent0[0, 1]: (53079) {G2,W6,D2,L2,V0,M2} { skol49 = nil, skol49 = nil
% 42.92/43.31 }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (38421) {G13,W3,D2,L1,V0,M1} R(38396,287);r(7078) { skol49 ==>
% 42.92/43.31 nil }.
% 42.92/43.31 parent0: (53080) {G2,W3,D2,L1,V0,M1} { skol49 = nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 0 ==> 0
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 resolution: (53083) {G8,W0,D0,L0,V0,M0} { }.
% 42.92/43.31 parent0[0]: (38334) {G7,W3,D2,L1,V0,M1} R(288,281);d(33768);r(789) { !
% 42.92/43.31 skol49 ==> nil }.
% 42.92/43.31 parent1[0]: (38421) {G13,W3,D2,L1,V0,M1} R(38396,287);r(7078) { skol49 ==>
% 42.92/43.31 nil }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 substitution1:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 subsumption: (38422) {G14,W0,D0,L0,V0,M0} S(38421);r(38334) { }.
% 42.92/43.31 parent0: (53083) {G8,W0,D0,L0,V0,M0} { }.
% 42.92/43.31 substitution0:
% 42.92/43.31 end
% 42.92/43.31 permutation0:
% 42.92/43.31 end
% 42.92/43.31
% 42.92/43.31 Proof check complete!
% 42.92/43.31
% 42.92/43.31 Memory use:
% 42.92/43.31
% 42.92/43.31 space for terms: 695556
% 42.92/43.31 space for clauses: 1615778
% 42.92/43.31
% 42.92/43.31
% 42.92/43.31 clauses generated: 126435
% 42.92/43.31 clauses kept: 38423
% 42.92/43.31 clauses selected: 1151
% 42.92/43.31 clauses deleted: 2361
% 42.92/43.31 clauses inuse deleted: 131
% 42.92/43.31
% 42.92/43.31 subsentry: 13618157
% 42.92/43.31 literals s-matched: 8883029
% 42.92/43.31 literals matched: 7046853
% 42.92/43.31 full subsumption: 6890666
% 42.92/43.31
% 42.92/43.31 checksum: -47085350
% 42.92/43.31
% 42.92/43.31
% 42.92/43.31 Bliksem ended
%------------------------------------------------------------------------------