TSTP Solution File: SWC333+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC333+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:35:58 EDT 2022
% Result : Theorem 3.18s 3.54s
% Output : Refutation 3.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWC333+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 11 22:56:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.12 { ssItem( skol1 ) }.
% 0.73/1.12 { ssItem( skol47 ) }.
% 0.73/1.12 { ! skol1 = skol47 }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.73/1.12 Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.73/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.73/1.12 ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.73/1.12 ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.73/1.12 = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.73/1.12 , Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.73/1.12 segmentP( X, Y ) }.
% 0.73/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.73/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.73/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.73/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.73/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.73/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.73/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.73/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.73/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.73/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.73/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.73/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, leq( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.73/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, lt( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.73/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, ! Y = Z }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.73/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.73/1.12 Z }.
% 0.73/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.73/1.12 { ssList( nil ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.12 ) = cons( T, Y ), Z = T }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.12 ) = cons( T, Y ), Y = X }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.73/1.12 ( cons( Z, Y ), X ) }.
% 0.73/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.73/1.12 , leq( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.73/1.12 lt( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.73/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.73/1.12 app( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.12 app( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.73/1.12 , X = Y, memberP( Z, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.73/1.12 ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.12 cons( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.73/1.12 { ! singletonP( nil ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.73/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.73/1.12 = Y }.
% 0.73/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.73/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.73/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.73/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.73/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.73/1.12 Y }.
% 0.73/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.73/1.12 ( app( Z, X ), Y ) }.
% 0.73/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.73/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.73/1.12 Y }.
% 0.73/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.73/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.73/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.73/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.73/1.12 { cyclefreeP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.73/1.12 { totalorderP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.73/1.12 { strictorderP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.73/1.12 { totalorderedP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.12 alpha10( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.73/1.12 .
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.73/1.12 Y ) ) }.
% 0.73/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.73/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.73/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.73/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.73/1.12 { strictorderedP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.12 alpha11( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.73/1.12 .
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.73/1.12 , Y ) ) }.
% 0.73/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.73/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.73/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.73/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.73/1.12 { duplicatefreeP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.73/1.12 { equalelemsP( nil ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.73/1.12 ( Y ) = tl( X ), Y = X }.
% 0.73/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.73/1.12 , Z = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.73/1.12 , Z = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.73/1.12 ( X, app( Y, Z ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.73/1.12 Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.73/1.12 , geq( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.73/1.12 , lt( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.73/1.12 gt( X, Z ) }.
% 0.73/1.12 { ssList( skol46 ) }.
% 0.73/1.12 { ssList( skol49 ) }.
% 0.73/1.12 { ssList( skol50 ) }.
% 0.73/1.12 { ssList( skol51 ) }.
% 0.73/1.12 { skol49 = skol51 }.
% 0.73/1.12 { skol46 = skol50 }.
% 0.73/1.12 { segmentP( skol51, skol50 ) }.
% 0.73/1.12 { totalorderedP( skol50 ) }.
% 0.73/1.12 { ! ssList( X ), ! neq( skol50, X ), ! segmentP( skol51, X ), ! segmentP( X
% 0.73/1.12 , skol50 ), ! totalorderedP( X ) }.
% 0.73/1.12 { alpha45( skol46, skol49, skol52 ), ! segmentP( skol49, skol46 ), !
% 0.73/1.12 totalorderedP( skol46 ) }.
% 0.73/1.12 { totalorderedP( skol52 ), ! segmentP( skol49, skol46 ), ! totalorderedP(
% 0.73/1.12 skol46 ) }.
% 0.73/1.12 { ! alpha45( X, Y, Z ), alpha44( X, Z ) }.
% 0.73/1.12 { ! alpha45( X, Y, Z ), segmentP( Y, Z ) }.
% 0.73/1.12 { ! alpha45( X, Y, Z ), segmentP( Z, X ) }.
% 0.73/1.12 { ! alpha44( X, Z ), ! segmentP( Y, Z ), ! segmentP( Z, X ), alpha45( X, Y
% 0.73/1.12 , Z ) }.
% 0.73/1.12 { ! alpha44( X, Y ), ssList( Y ) }.
% 0.73/1.12 { ! alpha44( X, Y ), neq( X, Y ) }.
% 0.73/1.12 { ! ssList( Y ), ! neq( X, Y ), alpha44( X, Y ) }.
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for clauses
% 0.73/1.12 percentage equality = 0.123699, percentage horn = 0.767918
% 0.73/1.12 This is a problem with some equality
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Options Used:
% 0.73/1.12
% 0.73/1.12 useres = 1
% 0.73/1.12 useparamod = 1
% 0.73/1.12 useeqrefl = 1
% 0.73/1.12 useeqfact = 1
% 0.73/1.12 usefactor = 1
% 0.73/1.12 usesimpsplitting = 0
% 0.73/1.12 usesimpdemod = 5
% 0.73/1.12 usesimpres = 3
% 0.73/1.12
% 0.73/1.12 resimpinuse = 1000
% 0.73/1.12 resimpclauses = 20000
% 0.73/1.12 substype = eqrewr
% 0.73/1.12 backwardsubs = 1
% 0.73/1.12 selectoldest = 5
% 0.73/1.12
% 0.73/1.12 litorderings [0] = split
% 0.73/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.12
% 0.73/1.12 termordering = kbo
% 0.73/1.12
% 0.73/1.12 litapriori = 0
% 0.73/1.12 termapriori = 1
% 0.73/1.12 litaposteriori = 0
% 0.73/1.12 termaposteriori = 0
% 0.73/1.12 demodaposteriori = 0
% 0.73/1.12 ordereqreflfact = 0
% 0.73/1.12
% 0.73/1.12 litselect = negord
% 0.73/1.12
% 0.73/1.12 maxweight = 15
% 0.73/1.12 maxdepth = 30000
% 0.73/1.12 maxlength = 115
% 0.73/1.12 maxnrvars = 195
% 0.73/1.12 excuselevel = 1
% 0.73/1.12 increasemaxweight = 1
% 0.73/1.12
% 0.73/1.12 maxselected = 10000000
% 0.73/1.12 maxnrclauses = 10000000
% 0.73/1.12
% 0.73/1.12 showgenerated = 0
% 0.73/1.12 showkept = 0
% 0.73/1.12 showselected = 0
% 0.73/1.12 showdeleted = 0
% 0.73/1.12 showresimp = 1
% 0.73/1.12 showstatus = 2000
% 0.73/1.12
% 0.73/1.12 prologoutput = 0
% 0.73/1.12 nrgoals = 5000000
% 0.73/1.12 totalproof = 1
% 0.73/1.12
% 0.73/1.12 Symbols occurring in the translation:
% 0.73/1.12
% 0.73/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.12 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.73/1.12 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.73/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.46 ssItem [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.46 neq [38, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.73/1.46 ssList [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.46 memberP [40, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.73/1.46 cons [43, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.73/1.46 app [44, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.73/1.46 singletonP [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.46 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.46 frontsegP [47, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.73/1.46 rearsegP [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.73/1.46 segmentP [49, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.73/1.46 cyclefreeP [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.46 leq [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.73/1.46 totalorderP [54, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.73/1.46 strictorderP [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.46 lt [56, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.73/1.46 totalorderedP [57, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.73/1.46 strictorderedP [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.46 duplicatefreeP [59, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.46 equalelemsP [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.46 hd [61, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.46 tl [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.46 geq [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.73/1.46 gt [64, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.73/1.46 alpha1 [65, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.73/1.46 alpha2 [66, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.73/1.46 alpha3 [67, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.73/1.46 alpha4 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.73/1.46 alpha5 [69, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.73/1.46 alpha6 [70, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.73/1.46 alpha7 [71, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.73/1.46 alpha8 [72, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.73/1.46 alpha9 [73, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.73/1.46 alpha10 [74, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.73/1.46 alpha11 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.73/1.46 alpha12 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.73/1.46 alpha13 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.73/1.46 alpha14 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.73/1.46 alpha15 [79, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.73/1.46 alpha16 [80, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.73/1.46 alpha17 [81, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.73/1.46 alpha18 [82, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.73/1.46 alpha19 [83, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.73/1.46 alpha20 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.73/1.46 alpha21 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.73/1.46 alpha22 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.73/1.46 alpha23 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.73/1.46 alpha24 [88, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.73/1.46 alpha25 [89, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.73/1.46 alpha26 [90, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.73/1.46 alpha27 [91, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.73/1.46 alpha28 [92, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.73/1.46 alpha29 [93, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.73/1.46 alpha30 [94, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.73/1.46 alpha31 [95, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.73/1.46 alpha32 [96, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.73/1.46 alpha33 [97, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.73/1.46 alpha34 [98, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.73/1.46 alpha35 [99, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.73/1.46 alpha36 [100, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.73/1.46 alpha37 [101, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.73/1.46 alpha38 [102, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.73/1.46 alpha39 [103, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.73/1.46 alpha40 [104, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.73/1.46 alpha41 [105, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.73/1.46 alpha42 [106, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.73/1.46 alpha43 [107, 6] (w:1, o:161, a:1, s:1, b:1),
% 0.73/1.46 alpha44 [108, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.73/1.46 alpha45 [109, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.73/1.46 skol1 [110, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.73/1.46 skol2 [111, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.73/1.46 skol3 [112, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.73/1.46 skol4 [113, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.73/1.46 skol5 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.73/1.46 skol6 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.73/1.46 skol7 [116, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.73/1.46 skol8 [117, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.73/1.46 skol9 [118, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.73/1.46 skol10 [119, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.73/1.46 skol11 [120, 3] (w:1, o:124, a:1, s:1, b:1),
% 3.18/3.54 skol12 [121, 4] (w:1, o:136, a:1, s:1, b:1),
% 3.18/3.54 skol13 [122, 5] (w:1, o:150, a:1, s:1, b:1),
% 3.18/3.54 skol14 [123, 1] (w:1, o:35, a:1, s:1, b:1),
% 3.18/3.54 skol15 [124, 2] (w:1, o:100, a:1, s:1, b:1),
% 3.18/3.54 skol16 [125, 3] (w:1, o:125, a:1, s:1, b:1),
% 3.18/3.54 skol17 [126, 4] (w:1, o:137, a:1, s:1, b:1),
% 3.18/3.54 skol18 [127, 5] (w:1, o:151, a:1, s:1, b:1),
% 3.18/3.54 skol19 [128, 1] (w:1, o:36, a:1, s:1, b:1),
% 3.18/3.54 skol20 [129, 2] (w:1, o:106, a:1, s:1, b:1),
% 3.18/3.54 skol21 [130, 3] (w:1, o:120, a:1, s:1, b:1),
% 3.18/3.54 skol22 [131, 4] (w:1, o:138, a:1, s:1, b:1),
% 3.18/3.54 skol23 [132, 5] (w:1, o:152, a:1, s:1, b:1),
% 3.18/3.54 skol24 [133, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.18/3.54 skol25 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 3.18/3.54 skol26 [135, 3] (w:1, o:121, a:1, s:1, b:1),
% 3.18/3.54 skol27 [136, 4] (w:1, o:139, a:1, s:1, b:1),
% 3.18/3.54 skol28 [137, 5] (w:1, o:153, a:1, s:1, b:1),
% 3.18/3.54 skol29 [138, 1] (w:1, o:38, a:1, s:1, b:1),
% 3.18/3.54 skol30 [139, 2] (w:1, o:108, a:1, s:1, b:1),
% 3.18/3.54 skol31 [140, 3] (w:1, o:126, a:1, s:1, b:1),
% 3.18/3.54 skol32 [141, 4] (w:1, o:140, a:1, s:1, b:1),
% 3.18/3.54 skol33 [142, 5] (w:1, o:154, a:1, s:1, b:1),
% 3.18/3.54 skol34 [143, 1] (w:1, o:31, a:1, s:1, b:1),
% 3.18/3.54 skol35 [144, 2] (w:1, o:109, a:1, s:1, b:1),
% 3.18/3.54 skol36 [145, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.18/3.54 skol37 [146, 4] (w:1, o:141, a:1, s:1, b:1),
% 3.18/3.54 skol38 [147, 5] (w:1, o:155, a:1, s:1, b:1),
% 3.18/3.54 skol39 [148, 1] (w:1, o:32, a:1, s:1, b:1),
% 3.18/3.54 skol40 [149, 2] (w:1, o:102, a:1, s:1, b:1),
% 3.18/3.54 skol41 [150, 3] (w:1, o:128, a:1, s:1, b:1),
% 3.18/3.54 skol42 [151, 4] (w:1, o:142, a:1, s:1, b:1),
% 3.18/3.54 skol43 [152, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.18/3.54 skol44 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.18/3.54 skol45 [154, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.18/3.54 skol46 [155, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.18/3.54 skol47 [156, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.18/3.54 skol48 [157, 1] (w:1, o:42, a:1, s:1, b:1),
% 3.18/3.54 skol49 [158, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.18/3.54 skol50 [159, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.18/3.54 skol51 [160, 0] (w:1, o:18, a:1, s:1, b:1),
% 3.18/3.54 skol52 [161, 0] (w:1, o:19, a:1, s:1, b:1).
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Starting Search:
% 3.18/3.54
% 3.18/3.54 *** allocated 22500 integers for clauses
% 3.18/3.54 *** allocated 33750 integers for clauses
% 3.18/3.54 *** allocated 50625 integers for clauses
% 3.18/3.54 *** allocated 22500 integers for termspace/termends
% 3.18/3.54 *** allocated 75937 integers for clauses
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 33750 integers for termspace/termends
% 3.18/3.54 *** allocated 113905 integers for clauses
% 3.18/3.54 *** allocated 50625 integers for termspace/termends
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 3620
% 3.18/3.54 Kept: 2007
% 3.18/3.54 Inuse: 217
% 3.18/3.54 Deleted: 15
% 3.18/3.54 Deletedinuse: 0
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 170857 integers for clauses
% 3.18/3.54 *** allocated 75937 integers for termspace/termends
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 256285 integers for clauses
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 6937
% 3.18/3.54 Kept: 4020
% 3.18/3.54 Inuse: 356
% 3.18/3.54 Deleted: 19
% 3.18/3.54 Deletedinuse: 4
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 113905 integers for termspace/termends
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 384427 integers for clauses
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 10581
% 3.18/3.54 Kept: 6074
% 3.18/3.54 Inuse: 491
% 3.18/3.54 Deleted: 21
% 3.18/3.54 Deletedinuse: 6
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 170857 integers for termspace/termends
% 3.18/3.54 *** allocated 576640 integers for clauses
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 13857
% 3.18/3.54 Kept: 8126
% 3.18/3.54 Inuse: 589
% 3.18/3.54 Deleted: 21
% 3.18/3.54 Deletedinuse: 6
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 18021
% 3.18/3.54 Kept: 10755
% 3.18/3.54 Inuse: 666
% 3.18/3.54 Deleted: 27
% 3.18/3.54 Deletedinuse: 12
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 256285 integers for termspace/termends
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 864960 integers for clauses
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 22797
% 3.18/3.54 Kept: 12774
% 3.18/3.54 Inuse: 736
% 3.18/3.54 Deleted: 28
% 3.18/3.54 Deletedinuse: 13
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 29476
% 3.18/3.54 Kept: 14804
% 3.18/3.54 Inuse: 767
% 3.18/3.54 Deleted: 33
% 3.18/3.54 Deletedinuse: 17
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 384427 integers for termspace/termends
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 36670
% 3.18/3.54 Kept: 16878
% 3.18/3.54 Inuse: 799
% 3.18/3.54 Deleted: 67
% 3.18/3.54 Deletedinuse: 50
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 1297440 integers for clauses
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 43166
% 3.18/3.54 Kept: 18900
% 3.18/3.54 Inuse: 873
% 3.18/3.54 Deleted: 74
% 3.18/3.54 Deletedinuse: 56
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying clauses:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 52312
% 3.18/3.54 Kept: 20937
% 3.18/3.54 Inuse: 903
% 3.18/3.54 Deleted: 2526
% 3.18/3.54 Deletedinuse: 59
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 576640 integers for termspace/termends
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 64329
% 3.18/3.54 Kept: 23269
% 3.18/3.54 Inuse: 938
% 3.18/3.54 Deleted: 2527
% 3.18/3.54 Deletedinuse: 60
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 74549
% 3.18/3.54 Kept: 25388
% 3.18/3.54 Inuse: 967
% 3.18/3.54 Deleted: 2528
% 3.18/3.54 Deletedinuse: 60
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 81703
% 3.18/3.54 Kept: 27408
% 3.18/3.54 Inuse: 1001
% 3.18/3.54 Deleted: 2555
% 3.18/3.54 Deletedinuse: 83
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 *** allocated 1946160 integers for clauses
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 89905
% 3.18/3.54 Kept: 29606
% 3.18/3.54 Inuse: 1023
% 3.18/3.54 Deleted: 2575
% 3.18/3.54 Deletedinuse: 83
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 101324
% 3.18/3.54 Kept: 31621
% 3.18/3.54 Inuse: 1048
% 3.18/3.54 Deleted: 2577
% 3.18/3.54 Deletedinuse: 85
% 3.18/3.54
% 3.18/3.54 *** allocated 864960 integers for termspace/termends
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 112277
% 3.18/3.54 Kept: 34023
% 3.18/3.54 Inuse: 1078
% 3.18/3.54 Deleted: 2581
% 3.18/3.54 Deletedinuse: 89
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 120134
% 3.18/3.54 Kept: 36066
% 3.18/3.54 Inuse: 1101
% 3.18/3.54 Deleted: 2583
% 3.18/3.54 Deletedinuse: 89
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 132866
% 3.18/3.54 Kept: 38135
% 3.18/3.54 Inuse: 1225
% 3.18/3.54 Deleted: 2617
% 3.18/3.54 Deletedinuse: 97
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54 Resimplifying inuse:
% 3.18/3.54 Done
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Intermediate Status:
% 3.18/3.54 Generated: 147225
% 3.18/3.54 Kept: 40161
% 3.18/3.54 Inuse: 1283
% 3.18/3.54 Deleted: 2617
% 3.18/3.54 Deletedinuse: 97
% 3.18/3.54
% 3.18/3.54 Resimplifying clauses:
% 3.18/3.54
% 3.18/3.54 Bliksems!, er is een bewijs:
% 3.18/3.54 % SZS status Theorem
% 3.18/3.54 % SZS output start Refutation
% 3.18/3.54
% 3.18/3.54 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.18/3.54 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.18/3.54 (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49, skol46 ) }.
% 3.18/3.54 (282) {G1,W2,D2,L1,V0,M1} I;d(280) { totalorderedP( skol46 ) }.
% 3.18/3.54 (283) {G1,W13,D2,L5,V1,M5} I;d(280);d(279);d(280) { ! ssList( X ), !
% 3.18/3.54 totalorderedP( X ), ! neq( skol46, X ), ! segmentP( skol49, X ), !
% 3.18/3.54 segmentP( X, skol46 ) }.
% 3.18/3.54 (284) {G2,W6,D2,L2,V0,M2} I;r(281) { alpha45( skol46, skol49, skol52 ), !
% 3.18/3.54 totalorderedP( skol46 ) }.
% 3.18/3.54 (285) {G2,W4,D2,L2,V0,M2} I;r(281) { totalorderedP( skol52 ), !
% 3.18/3.54 totalorderedP( skol46 ) }.
% 3.18/3.54 (286) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), alpha44( X, Z ) }.
% 3.18/3.54 (287) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), segmentP( Y, Z ) }.
% 3.18/3.54 (288) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), segmentP( Z, X ) }.
% 3.18/3.54 (290) {G0,W5,D2,L2,V2,M2} I { ! alpha44( X, Y ), ssList( Y ) }.
% 3.18/3.54 (291) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), neq( X, Y ) }.
% 3.18/3.54 (440) {G3,W2,D2,L1,V0,M1} S(285);r(282) { totalorderedP( skol52 ) }.
% 3.18/3.54 (1161) {G3,W4,D2,L1,V0,M1} S(284);r(282) { alpha45( skol46, skol49, skol52
% 3.18/3.54 ) }.
% 3.18/3.54 (2745) {G4,W3,D2,L1,V0,M1} R(288,1161) { segmentP( skol52, skol46 ) }.
% 3.18/3.54 (2771) {G4,W3,D2,L1,V0,M1} R(287,1161) { segmentP( skol49, skol52 ) }.
% 3.18/3.54 (2778) {G4,W3,D2,L1,V0,M1} R(286,1161) { alpha44( skol46, skol52 ) }.
% 3.18/3.54 (2836) {G5,W3,D2,L1,V0,M1} R(2778,291) { neq( skol46, skol52 ) }.
% 3.18/3.54 (2844) {G5,W2,D2,L1,V0,M1} R(2778,290) { ssList( skol52 ) }.
% 3.18/3.54 (36541) {G6,W8,D2,L3,V0,M3} R(283,2836);r(2844) { ! totalorderedP( skol52 )
% 3.18/3.54 , ! segmentP( skol49, skol52 ), ! segmentP( skol52, skol46 ) }.
% 3.18/3.54 (40339) {G7,W0,D0,L0,V0,M0} S(36541);r(440);r(2771);r(2745) { }.
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 % SZS output end Refutation
% 3.18/3.54 found a proof!
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Unprocessed initial clauses:
% 3.18/3.54
% 3.18/3.54 (40341) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.18/3.54 , ! X = Y }.
% 3.18/3.54 (40342) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40343) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.18/3.54 (40344) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 3.18/3.54 (40345) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 3.18/3.54 (40346) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.18/3.54 , Y ), ssList( skol2( Z, T ) ) }.
% 3.18/3.54 (40347) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.18/3.54 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.18/3.54 (40348) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.18/3.54 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.18/3.54 (40349) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.18/3.54 ) ) }.
% 3.18/3.54 (40350) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.18/3.54 ( X, Y, Z ) ) ) = X }.
% 3.18/3.54 (40351) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.18/3.54 , alpha1( X, Y, Z ) }.
% 3.18/3.54 (40352) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.18/3.54 skol4( Y ) ) }.
% 3.18/3.54 (40353) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.18/3.54 skol4( X ), nil ) = X }.
% 3.18/3.54 (40354) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.18/3.54 nil ) = X, singletonP( X ) }.
% 3.18/3.54 (40355) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.18/3.54 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.18/3.54 (40356) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.18/3.54 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.18/3.54 (40357) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.18/3.54 (40358) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.18/3.54 , Y ), ssList( skol6( Z, T ) ) }.
% 3.18/3.54 (40359) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.18/3.54 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.18/3.54 (40360) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.18/3.54 (40361) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.18/3.54 , Y ), ssList( skol7( Z, T ) ) }.
% 3.18/3.54 (40362) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.18/3.54 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.18/3.54 (40363) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.18/3.54 (40364) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.18/3.54 ) ) }.
% 3.18/3.54 (40365) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.18/3.54 skol8( X, Y, Z ) ) = X }.
% 3.18/3.54 (40366) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.18/3.54 , alpha2( X, Y, Z ) }.
% 3.18/3.54 (40367) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.18/3.54 Y ), alpha3( X, Y ) }.
% 3.18/3.54 (40368) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.18/3.54 cyclefreeP( X ) }.
% 3.18/3.54 (40369) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.18/3.54 cyclefreeP( X ) }.
% 3.18/3.54 (40370) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.18/3.54 , Y, Z ) }.
% 3.18/3.54 (40371) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.18/3.54 (40372) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40373) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.18/3.54 alpha28( X, Y, Z, T ) }.
% 3.18/3.54 (40374) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.18/3.54 Z ) }.
% 3.18/3.54 (40375) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.18/3.54 alpha21( X, Y, Z ) }.
% 3.18/3.54 (40376) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.18/3.54 alpha35( X, Y, Z, T, U ) }.
% 3.18/3.54 (40377) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.18/3.54 X, Y, Z, T ) }.
% 3.18/3.54 (40378) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.18/3.54 ), alpha28( X, Y, Z, T ) }.
% 3.18/3.54 (40379) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.18/3.54 alpha41( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40380) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.18/3.54 alpha35( X, Y, Z, T, U ) }.
% 3.18/3.54 (40381) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.18/3.54 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.18/3.54 (40382) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.18/3.54 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.18/3.54 (40383) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.18/3.54 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40384) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.18/3.54 W ) }.
% 3.18/3.54 (40385) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.18/3.54 X ) }.
% 3.18/3.54 (40386) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.18/3.54 (40387) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.18/3.54 (40388) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.18/3.54 ( Y ), alpha4( X, Y ) }.
% 3.18/3.54 (40389) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.18/3.54 totalorderP( X ) }.
% 3.18/3.54 (40390) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.18/3.54 totalorderP( X ) }.
% 3.18/3.54 (40391) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.18/3.54 , Y, Z ) }.
% 3.18/3.54 (40392) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.18/3.54 (40393) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40394) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.18/3.54 alpha29( X, Y, Z, T ) }.
% 3.18/3.54 (40395) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.18/3.54 Z ) }.
% 3.18/3.54 (40396) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.18/3.54 alpha22( X, Y, Z ) }.
% 3.18/3.54 (40397) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.18/3.54 alpha36( X, Y, Z, T, U ) }.
% 3.18/3.54 (40398) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.18/3.54 X, Y, Z, T ) }.
% 3.18/3.54 (40399) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.18/3.54 ), alpha29( X, Y, Z, T ) }.
% 3.18/3.54 (40400) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.18/3.54 alpha42( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40401) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.18/3.54 alpha36( X, Y, Z, T, U ) }.
% 3.18/3.54 (40402) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.18/3.54 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.18/3.54 (40403) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.18/3.54 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.18/3.54 (40404) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.18/3.54 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40405) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.18/3.54 W ) }.
% 3.18/3.54 (40406) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.18/3.54 }.
% 3.18/3.54 (40407) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.18/3.54 (40408) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.18/3.54 (40409) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.18/3.54 ( Y ), alpha5( X, Y ) }.
% 3.18/3.54 (40410) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.18/3.54 strictorderP( X ) }.
% 3.18/3.54 (40411) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.18/3.54 strictorderP( X ) }.
% 3.18/3.54 (40412) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.18/3.54 , Y, Z ) }.
% 3.18/3.54 (40413) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.18/3.54 (40414) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40415) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.18/3.54 alpha30( X, Y, Z, T ) }.
% 3.18/3.54 (40416) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.18/3.54 Z ) }.
% 3.18/3.54 (40417) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.18/3.54 alpha23( X, Y, Z ) }.
% 3.18/3.54 (40418) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.18/3.54 alpha37( X, Y, Z, T, U ) }.
% 3.18/3.54 (40419) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.18/3.54 X, Y, Z, T ) }.
% 3.18/3.54 (40420) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.18/3.54 ), alpha30( X, Y, Z, T ) }.
% 3.18/3.54 (40421) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.18/3.54 alpha43( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40422) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.18/3.54 alpha37( X, Y, Z, T, U ) }.
% 3.18/3.54 (40423) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.18/3.54 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.18/3.54 (40424) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.18/3.54 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.18/3.54 (40425) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.18/3.54 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40426) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.18/3.54 W ) }.
% 3.18/3.54 (40427) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.18/3.54 }.
% 3.18/3.54 (40428) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.18/3.54 (40429) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.18/3.54 (40430) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.18/3.54 ssItem( Y ), alpha6( X, Y ) }.
% 3.18/3.54 (40431) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.18/3.54 totalorderedP( X ) }.
% 3.18/3.54 (40432) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.18/3.54 totalorderedP( X ) }.
% 3.18/3.54 (40433) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.18/3.54 , Y, Z ) }.
% 3.18/3.54 (40434) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.18/3.54 (40435) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40436) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.18/3.54 alpha24( X, Y, Z, T ) }.
% 3.18/3.54 (40437) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.18/3.54 Z ) }.
% 3.18/3.54 (40438) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.18/3.54 alpha15( X, Y, Z ) }.
% 3.18/3.54 (40439) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.18/3.54 alpha31( X, Y, Z, T, U ) }.
% 3.18/3.54 (40440) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.18/3.54 X, Y, Z, T ) }.
% 3.18/3.54 (40441) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.18/3.54 ), alpha24( X, Y, Z, T ) }.
% 3.18/3.54 (40442) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.18/3.54 alpha38( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40443) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.18/3.54 alpha31( X, Y, Z, T, U ) }.
% 3.18/3.54 (40444) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.18/3.54 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.18/3.54 (40445) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.18/3.54 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.18/3.54 (40446) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.18/3.54 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40447) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.18/3.54 }.
% 3.18/3.54 (40448) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.18/3.54 ssItem( Y ), alpha7( X, Y ) }.
% 3.18/3.54 (40449) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.18/3.54 strictorderedP( X ) }.
% 3.18/3.54 (40450) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.18/3.54 strictorderedP( X ) }.
% 3.18/3.54 (40451) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.18/3.54 , Y, Z ) }.
% 3.18/3.54 (40452) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.18/3.54 (40453) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40454) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.18/3.54 alpha25( X, Y, Z, T ) }.
% 3.18/3.54 (40455) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.18/3.54 Z ) }.
% 3.18/3.54 (40456) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.18/3.54 alpha16( X, Y, Z ) }.
% 3.18/3.54 (40457) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.18/3.54 alpha32( X, Y, Z, T, U ) }.
% 3.18/3.54 (40458) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.18/3.54 X, Y, Z, T ) }.
% 3.18/3.54 (40459) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.18/3.54 ), alpha25( X, Y, Z, T ) }.
% 3.18/3.54 (40460) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.18/3.54 alpha39( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40461) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.18/3.54 alpha32( X, Y, Z, T, U ) }.
% 3.18/3.54 (40462) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.18/3.54 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.18/3.54 (40463) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.18/3.54 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.18/3.54 (40464) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.18/3.54 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40465) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.18/3.54 }.
% 3.18/3.54 (40466) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.18/3.54 ssItem( Y ), alpha8( X, Y ) }.
% 3.18/3.54 (40467) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.18/3.54 duplicatefreeP( X ) }.
% 3.18/3.54 (40468) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.18/3.54 duplicatefreeP( X ) }.
% 3.18/3.54 (40469) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.18/3.54 , Y, Z ) }.
% 3.18/3.54 (40470) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.18/3.54 (40471) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40472) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.18/3.54 alpha26( X, Y, Z, T ) }.
% 3.18/3.54 (40473) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.18/3.54 Z ) }.
% 3.18/3.54 (40474) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.18/3.54 alpha17( X, Y, Z ) }.
% 3.18/3.54 (40475) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.18/3.54 alpha33( X, Y, Z, T, U ) }.
% 3.18/3.54 (40476) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.18/3.54 X, Y, Z, T ) }.
% 3.18/3.54 (40477) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.18/3.54 ), alpha26( X, Y, Z, T ) }.
% 3.18/3.54 (40478) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.18/3.54 alpha40( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40479) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.18/3.54 alpha33( X, Y, Z, T, U ) }.
% 3.18/3.54 (40480) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.18/3.54 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.18/3.54 (40481) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.18/3.54 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.18/3.54 (40482) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.18/3.54 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40483) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.18/3.54 (40484) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.18/3.54 ( Y ), alpha9( X, Y ) }.
% 3.18/3.54 (40485) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.18/3.54 equalelemsP( X ) }.
% 3.18/3.54 (40486) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.18/3.54 equalelemsP( X ) }.
% 3.18/3.54 (40487) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.18/3.54 , Y, Z ) }.
% 3.18/3.54 (40488) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.18/3.54 (40489) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40490) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.18/3.54 alpha27( X, Y, Z, T ) }.
% 3.18/3.54 (40491) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.18/3.54 Z ) }.
% 3.18/3.54 (40492) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.18/3.54 alpha18( X, Y, Z ) }.
% 3.18/3.54 (40493) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.18/3.54 alpha34( X, Y, Z, T, U ) }.
% 3.18/3.54 (40494) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.18/3.54 X, Y, Z, T ) }.
% 3.18/3.54 (40495) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.18/3.54 ), alpha27( X, Y, Z, T ) }.
% 3.18/3.54 (40496) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.18/3.54 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.18/3.54 (40497) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.18/3.54 alpha34( X, Y, Z, T, U ) }.
% 3.18/3.54 (40498) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.18/3.54 (40499) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.18/3.54 , ! X = Y }.
% 3.18/3.54 (40500) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.18/3.54 , Y ) }.
% 3.18/3.54 (40501) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.18/3.54 Y, X ) ) }.
% 3.18/3.54 (40502) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.18/3.54 (40503) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.18/3.54 = X }.
% 3.18/3.54 (40504) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.18/3.54 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.18/3.54 (40505) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.18/3.54 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.18/3.54 (40506) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.18/3.54 ) }.
% 3.18/3.54 (40507) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 3.18/3.54 ) }.
% 3.18/3.54 (40508) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 3.18/3.54 skol43( X ) ) = X }.
% 3.18/3.54 (40509) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.18/3.54 Y, X ) }.
% 3.18/3.54 (40510) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.18/3.54 }.
% 3.18/3.54 (40511) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.18/3.54 X ) ) = Y }.
% 3.18/3.54 (40512) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.18/3.54 }.
% 3.18/3.54 (40513) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.18/3.54 X ) ) = X }.
% 3.18/3.54 (40514) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.18/3.54 , Y ) ) }.
% 3.18/3.54 (40515) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.18/3.54 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.18/3.54 (40516) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.18/3.54 (40517) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.18/3.54 , ! leq( Y, X ), X = Y }.
% 3.18/3.54 (40518) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.18/3.54 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.18/3.54 (40519) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.18/3.54 (40520) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.18/3.54 , leq( Y, X ) }.
% 3.18/3.54 (40521) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.18/3.54 , geq( X, Y ) }.
% 3.18/3.54 (40522) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.18/3.54 , ! lt( Y, X ) }.
% 3.18/3.54 (40523) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.18/3.54 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.18/3.54 (40524) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.18/3.54 , lt( Y, X ) }.
% 3.18/3.54 (40525) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.18/3.54 , gt( X, Y ) }.
% 3.18/3.54 (40526) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.18/3.54 (40527) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.18/3.54 (40528) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.18/3.54 (40529) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.18/3.54 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.18/3.54 (40530) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.18/3.54 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.18/3.54 (40531) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.18/3.54 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.18/3.54 (40532) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.18/3.54 (40533) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.18/3.54 (40534) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.18/3.54 (40535) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.18/3.54 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.18/3.54 (40536) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.18/3.54 (40537) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.18/3.54 (40538) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.18/3.54 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.18/3.54 (40539) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.18/3.54 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.18/3.54 , T ) }.
% 3.18/3.54 (40540) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.18/3.54 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.18/3.54 cons( Y, T ) ) }.
% 3.18/3.54 (40541) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.18/3.54 (40542) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.18/3.54 X }.
% 3.18/3.54 (40543) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.18/3.54 ) }.
% 3.18/3.54 (40544) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.18/3.54 (40545) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.18/3.54 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.18/3.54 (40546) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.18/3.54 (40547) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.18/3.54 (40548) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.18/3.54 (40549) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.18/3.54 }.
% 3.18/3.54 (40550) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.18/3.54 }.
% 3.18/3.54 (40551) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.18/3.54 (40552) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.18/3.54 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.18/3.54 (40553) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.18/3.54 (40554) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.18/3.54 }.
% 3.18/3.54 (40555) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.18/3.54 (40556) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.18/3.54 }.
% 3.18/3.54 (40557) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.18/3.54 }.
% 3.18/3.54 (40558) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.18/3.54 }.
% 3.18/3.54 (40559) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.18/3.54 (40560) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.18/3.54 }.
% 3.18/3.54 (40561) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.18/3.54 (40562) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.18/3.54 ) }.
% 3.18/3.54 (40563) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.18/3.54 (40564) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.18/3.54 ) }.
% 3.18/3.54 (40565) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.18/3.54 (40566) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.18/3.54 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.18/3.54 (40567) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.18/3.54 totalorderedP( cons( X, Y ) ) }.
% 3.18/3.54 (40568) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.18/3.54 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.18/3.54 (40569) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.18/3.54 (40570) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.18/3.54 (40571) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.18/3.54 }.
% 3.18/3.54 (40572) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.18/3.54 (40573) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.18/3.54 (40574) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.18/3.54 alpha19( X, Y ) }.
% 3.18/3.54 (40575) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.18/3.54 ) ) }.
% 3.18/3.54 (40576) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.18/3.54 (40577) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.18/3.54 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.18/3.54 (40578) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.18/3.54 strictorderedP( cons( X, Y ) ) }.
% 3.18/3.54 (40579) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.18/3.54 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.18/3.54 (40580) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.18/3.54 (40581) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.18/3.54 (40582) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.18/3.54 }.
% 3.18/3.54 (40583) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.18/3.54 (40584) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.18/3.54 (40585) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.18/3.54 alpha20( X, Y ) }.
% 3.18/3.54 (40586) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.18/3.54 ) ) }.
% 3.18/3.54 (40587) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.18/3.54 (40588) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.18/3.54 }.
% 3.18/3.54 (40589) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.18/3.54 (40590) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.18/3.54 ) }.
% 3.18/3.54 (40591) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.18/3.54 ) }.
% 3.18/3.54 (40592) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.18/3.54 ) }.
% 3.18/3.54 (40593) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.18/3.54 ) }.
% 3.18/3.54 (40594) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.18/3.54 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.18/3.54 (40595) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.18/3.54 X ) ) = X }.
% 3.18/3.54 (40596) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.18/3.54 (40597) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.18/3.54 (40598) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.18/3.54 = app( cons( Y, nil ), X ) }.
% 3.18/3.54 (40599) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.18/3.54 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.18/3.54 (40600) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.18/3.54 X, Y ), nil = Y }.
% 3.18/3.54 (40601) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.18/3.54 X, Y ), nil = X }.
% 3.18/3.54 (40602) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.18/3.54 nil = X, nil = app( X, Y ) }.
% 3.18/3.54 (40603) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.18/3.54 (40604) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.18/3.54 app( X, Y ) ) = hd( X ) }.
% 3.18/3.54 (40605) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.18/3.54 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.18/3.54 (40606) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.18/3.54 , ! geq( Y, X ), X = Y }.
% 3.18/3.54 (40607) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.18/3.54 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.18/3.54 (40608) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.18/3.54 (40609) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.18/3.54 (40610) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.18/3.54 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.18/3.54 (40611) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.18/3.54 , X = Y, lt( X, Y ) }.
% 3.18/3.54 (40612) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.18/3.54 , ! X = Y }.
% 3.18/3.54 (40613) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.18/3.54 , leq( X, Y ) }.
% 3.18/3.54 (40614) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.18/3.54 ( X, Y ), lt( X, Y ) }.
% 3.18/3.54 (40615) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.18/3.54 , ! gt( Y, X ) }.
% 3.18/3.54 (40616) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.18/3.54 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.18/3.54 (40617) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.18/3.54 (40618) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.18/3.54 (40619) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.18/3.54 (40620) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.18/3.54 (40621) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.18/3.54 (40622) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.18/3.54 (40623) {G0,W3,D2,L1,V0,M1} { segmentP( skol51, skol50 ) }.
% 3.18/3.54 (40624) {G0,W2,D2,L1,V0,M1} { totalorderedP( skol50 ) }.
% 3.18/3.54 (40625) {G0,W13,D2,L5,V1,M5} { ! ssList( X ), ! neq( skol50, X ), !
% 3.18/3.54 segmentP( skol51, X ), ! segmentP( X, skol50 ), ! totalorderedP( X ) }.
% 3.18/3.54 (40626) {G0,W9,D2,L3,V0,M3} { alpha45( skol46, skol49, skol52 ), !
% 3.18/3.54 segmentP( skol49, skol46 ), ! totalorderedP( skol46 ) }.
% 3.18/3.54 (40627) {G0,W7,D2,L3,V0,M3} { totalorderedP( skol52 ), ! segmentP( skol49
% 3.18/3.54 , skol46 ), ! totalorderedP( skol46 ) }.
% 3.18/3.54 (40628) {G0,W7,D2,L2,V3,M2} { ! alpha45( X, Y, Z ), alpha44( X, Z ) }.
% 3.18/3.54 (40629) {G0,W7,D2,L2,V3,M2} { ! alpha45( X, Y, Z ), segmentP( Y, Z ) }.
% 3.18/3.54 (40630) {G0,W7,D2,L2,V3,M2} { ! alpha45( X, Y, Z ), segmentP( Z, X ) }.
% 3.18/3.54 (40631) {G0,W13,D2,L4,V3,M4} { ! alpha44( X, Z ), ! segmentP( Y, Z ), !
% 3.18/3.54 segmentP( Z, X ), alpha45( X, Y, Z ) }.
% 3.18/3.54 (40632) {G0,W5,D2,L2,V2,M2} { ! alpha44( X, Y ), ssList( Y ) }.
% 3.18/3.54 (40633) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), neq( X, Y ) }.
% 3.18/3.54 (40634) {G0,W8,D2,L3,V2,M3} { ! ssList( Y ), ! neq( X, Y ), alpha44( X, Y
% 3.18/3.54 ) }.
% 3.18/3.54
% 3.18/3.54
% 3.18/3.54 Total Proof:
% 3.18/3.54
% 3.18/3.54 eqswap: (40981) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.18/3.54 parent0[0]: (40621) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.18/3.54 substitution0:
% 3.18/3.54 end
% 3.18/3.54
% 3.18/3.54 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.18/3.54 parent0: (40981) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.18/3.54 substitution0:
% 3.18/3.54 end
% 3.18/3.54 permutation0:
% 3.18/3.54 0 ==> 0
% 3.18/3.54 end
% 3.18/3.54
% 3.18/3.54 eqswap: (41329) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.18/3.54 parent0[0]: (40622) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.18/3.54 substitution0:
% 3.18/3.54 end
% 3.18/3.54
% 3.18/3.54 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.18/3.54 parent0: (41329) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.18/3.54 substitution0:
% 3.18/3.54 end
% 3.18/3.54 permutation0:
% 3.18/3.54 0 ==> 0
% 3.18/3.54 end
% 3.18/3.54
% 3.18/3.54 paramod: (42254) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol50 ) }.
% 3.18/3.55 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.18/3.55 parent1[0; 1]: (40623) {G0,W3,D2,L1,V0,M1} { segmentP( skol51, skol50 )
% 3.18/3.55 }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 substitution1:
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 paramod: (42255) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol46 ) }.
% 3.18/3.55 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.18/3.55 parent1[0; 2]: (42254) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol50 )
% 3.18/3.55 }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 substitution1:
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 subsumption: (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49,
% 3.18/3.55 skol46 ) }.
% 3.18/3.55 parent0: (42255) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol46 ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 permutation0:
% 3.18/3.55 0 ==> 0
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 paramod: (42899) {G1,W2,D2,L1,V0,M1} { totalorderedP( skol46 ) }.
% 3.18/3.55 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.18/3.55 parent1[0; 1]: (40624) {G0,W2,D2,L1,V0,M1} { totalorderedP( skol50 ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 substitution1:
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 subsumption: (282) {G1,W2,D2,L1,V0,M1} I;d(280) { totalorderedP( skol46 )
% 3.18/3.55 }.
% 3.18/3.55 parent0: (42899) {G1,W2,D2,L1,V0,M1} { totalorderedP( skol46 ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 permutation0:
% 3.18/3.55 0 ==> 0
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 paramod: (44117) {G1,W13,D2,L5,V1,M5} { ! segmentP( X, skol46 ), ! ssList
% 3.18/3.55 ( X ), ! neq( skol50, X ), ! segmentP( skol51, X ), ! totalorderedP( X )
% 3.18/3.55 }.
% 3.18/3.55 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.18/3.55 parent1[3; 3]: (40625) {G0,W13,D2,L5,V1,M5} { ! ssList( X ), ! neq( skol50
% 3.18/3.55 , X ), ! segmentP( skol51, X ), ! segmentP( X, skol50 ), ! totalorderedP
% 3.18/3.55 ( X ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 substitution1:
% 3.18/3.55 X := X
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 paramod: (44119) {G1,W13,D2,L5,V1,M5} { ! segmentP( skol49, X ), !
% 3.18/3.55 segmentP( X, skol46 ), ! ssList( X ), ! neq( skol50, X ), ! totalorderedP
% 3.18/3.55 ( X ) }.
% 3.18/3.55 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.18/3.55 parent1[3; 2]: (44117) {G1,W13,D2,L5,V1,M5} { ! segmentP( X, skol46 ), !
% 3.18/3.55 ssList( X ), ! neq( skol50, X ), ! segmentP( skol51, X ), ! totalorderedP
% 3.18/3.55 ( X ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 substitution1:
% 3.18/3.55 X := X
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 paramod: (44120) {G1,W13,D2,L5,V1,M5} { ! neq( skol46, X ), ! segmentP(
% 3.18/3.55 skol49, X ), ! segmentP( X, skol46 ), ! ssList( X ), ! totalorderedP( X )
% 3.18/3.55 }.
% 3.18/3.55 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.18/3.55 parent1[3; 2]: (44119) {G1,W13,D2,L5,V1,M5} { ! segmentP( skol49, X ), !
% 3.18/3.55 segmentP( X, skol46 ), ! ssList( X ), ! neq( skol50, X ), ! totalorderedP
% 3.18/3.55 ( X ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 substitution1:
% 3.18/3.55 X := X
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 subsumption: (283) {G1,W13,D2,L5,V1,M5} I;d(280);d(279);d(280) { ! ssList(
% 3.18/3.55 X ), ! totalorderedP( X ), ! neq( skol46, X ), ! segmentP( skol49, X ), !
% 3.18/3.55 segmentP( X, skol46 ) }.
% 3.18/3.55 parent0: (44120) {G1,W13,D2,L5,V1,M5} { ! neq( skol46, X ), ! segmentP(
% 3.18/3.55 skol49, X ), ! segmentP( X, skol46 ), ! ssList( X ), ! totalorderedP( X )
% 3.18/3.55 }.
% 3.18/3.55 substitution0:
% 3.18/3.55 X := X
% 3.18/3.55 end
% 3.18/3.55 permutation0:
% 3.18/3.55 0 ==> 2
% 3.18/3.55 1 ==> 3
% 3.18/3.55 2 ==> 4
% 3.18/3.55 3 ==> 0
% 3.18/3.55 4 ==> 1
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 resolution: (44476) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol49, skol52
% 3.18/3.55 ), ! totalorderedP( skol46 ) }.
% 3.18/3.55 parent0[1]: (40626) {G0,W9,D2,L3,V0,M3} { alpha45( skol46, skol49, skol52
% 3.18/3.55 ), ! segmentP( skol49, skol46 ), ! totalorderedP( skol46 ) }.
% 3.18/3.55 parent1[0]: (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49,
% 3.18/3.55 skol46 ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 substitution1:
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 subsumption: (284) {G2,W6,D2,L2,V0,M2} I;r(281) { alpha45( skol46, skol49,
% 3.18/3.55 skol52 ), ! totalorderedP( skol46 ) }.
% 3.18/3.55 parent0: (44476) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol49, skol52 ),
% 3.18/3.55 ! totalorderedP( skol46 ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 permutation0:
% 3.18/3.55 0 ==> 0
% 3.18/3.55 1 ==> 1
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 resolution: (44833) {G1,W4,D2,L2,V0,M2} { totalorderedP( skol52 ), !
% 3.18/3.55 totalorderedP( skol46 ) }.
% 3.18/3.55 parent0[1]: (40627) {G0,W7,D2,L3,V0,M3} { totalorderedP( skol52 ), !
% 3.18/3.55 segmentP( skol49, skol46 ), ! totalorderedP( skol46 ) }.
% 3.18/3.55 parent1[0]: (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49,
% 3.18/3.55 skol46 ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 substitution1:
% 3.18/3.55 end
% 3.18/3.55
% 3.18/3.55 subsumption: (285) {G2,W4,D2,L2,V0,M2} I;r(281) { totalorderedP( skol52 ),
% 3.18/3.55 ! totalorderedP( skol46 ) }.
% 3.18/3.55 parent0: (44833) {G1,W4,D2,L2,V0,M2} { totalorderedP( skol52 ), !
% 3.18/3.55 totalorderedP( skol46 ) }.
% 3.18/3.55 substitution0:
% 3.18/3.55 end
% 3.18/3.55 permutation0:
% 3.18/3.55 0 ==> 0
% 3.18/3.56 1 ==> 1
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (286) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), alpha44( X
% 3.18/3.56 , Z ) }.
% 3.18/3.56 parent0: (40628) {G0,W7,D2,L2,V3,M2} { ! alpha45( X, Y, Z ), alpha44( X, Z
% 3.18/3.56 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := X
% 3.18/3.56 Y := Y
% 3.18/3.56 Z := Z
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 1 ==> 1
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (287) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), segmentP(
% 3.18/3.56 Y, Z ) }.
% 3.18/3.56 parent0: (40629) {G0,W7,D2,L2,V3,M2} { ! alpha45( X, Y, Z ), segmentP( Y,
% 3.18/3.56 Z ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := X
% 3.18/3.56 Y := Y
% 3.18/3.56 Z := Z
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 1 ==> 1
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (288) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), segmentP(
% 3.18/3.56 Z, X ) }.
% 3.18/3.56 parent0: (40630) {G0,W7,D2,L2,V3,M2} { ! alpha45( X, Y, Z ), segmentP( Z,
% 3.18/3.56 X ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := X
% 3.18/3.56 Y := Y
% 3.18/3.56 Z := Z
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 1 ==> 1
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (290) {G0,W5,D2,L2,V2,M2} I { ! alpha44( X, Y ), ssList( Y )
% 3.18/3.56 }.
% 3.18/3.56 parent0: (40632) {G0,W5,D2,L2,V2,M2} { ! alpha44( X, Y ), ssList( Y ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := X
% 3.18/3.56 Y := Y
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 1 ==> 1
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (291) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), neq( X, Y )
% 3.18/3.56 }.
% 3.18/3.56 parent0: (40633) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), neq( X, Y ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := X
% 3.18/3.56 Y := Y
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 1 ==> 1
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46576) {G2,W2,D2,L1,V0,M1} { totalorderedP( skol52 ) }.
% 3.18/3.56 parent0[1]: (285) {G2,W4,D2,L2,V0,M2} I;r(281) { totalorderedP( skol52 ), !
% 3.18/3.56 totalorderedP( skol46 ) }.
% 3.18/3.56 parent1[0]: (282) {G1,W2,D2,L1,V0,M1} I;d(280) { totalorderedP( skol46 )
% 3.18/3.56 }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (440) {G3,W2,D2,L1,V0,M1} S(285);r(282) { totalorderedP(
% 3.18/3.56 skol52 ) }.
% 3.18/3.56 parent0: (46576) {G2,W2,D2,L1,V0,M1} { totalorderedP( skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46577) {G2,W4,D2,L1,V0,M1} { alpha45( skol46, skol49, skol52
% 3.18/3.56 ) }.
% 3.18/3.56 parent0[1]: (284) {G2,W6,D2,L2,V0,M2} I;r(281) { alpha45( skol46, skol49,
% 3.18/3.56 skol52 ), ! totalorderedP( skol46 ) }.
% 3.18/3.56 parent1[0]: (282) {G1,W2,D2,L1,V0,M1} I;d(280) { totalorderedP( skol46 )
% 3.18/3.56 }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (1161) {G3,W4,D2,L1,V0,M1} S(284);r(282) { alpha45( skol46,
% 3.18/3.56 skol49, skol52 ) }.
% 3.18/3.56 parent0: (46577) {G2,W4,D2,L1,V0,M1} { alpha45( skol46, skol49, skol52 )
% 3.18/3.56 }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46578) {G1,W3,D2,L1,V0,M1} { segmentP( skol52, skol46 ) }.
% 3.18/3.56 parent0[0]: (288) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), segmentP( Z
% 3.18/3.56 , X ) }.
% 3.18/3.56 parent1[0]: (1161) {G3,W4,D2,L1,V0,M1} S(284);r(282) { alpha45( skol46,
% 3.18/3.56 skol49, skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := skol46
% 3.18/3.56 Y := skol49
% 3.18/3.56 Z := skol52
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (2745) {G4,W3,D2,L1,V0,M1} R(288,1161) { segmentP( skol52,
% 3.18/3.56 skol46 ) }.
% 3.18/3.56 parent0: (46578) {G1,W3,D2,L1,V0,M1} { segmentP( skol52, skol46 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46579) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol52 ) }.
% 3.18/3.56 parent0[0]: (287) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), segmentP( Y
% 3.18/3.56 , Z ) }.
% 3.18/3.56 parent1[0]: (1161) {G3,W4,D2,L1,V0,M1} S(284);r(282) { alpha45( skol46,
% 3.18/3.56 skol49, skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := skol46
% 3.18/3.56 Y := skol49
% 3.18/3.56 Z := skol52
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (2771) {G4,W3,D2,L1,V0,M1} R(287,1161) { segmentP( skol49,
% 3.18/3.56 skol52 ) }.
% 3.18/3.56 parent0: (46579) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46580) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol52 ) }.
% 3.18/3.56 parent0[0]: (286) {G0,W7,D2,L2,V3,M2} I { ! alpha45( X, Y, Z ), alpha44( X
% 3.18/3.56 , Z ) }.
% 3.18/3.56 parent1[0]: (1161) {G3,W4,D2,L1,V0,M1} S(284);r(282) { alpha45( skol46,
% 3.18/3.56 skol49, skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := skol46
% 3.18/3.56 Y := skol49
% 3.18/3.56 Z := skol52
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (2778) {G4,W3,D2,L1,V0,M1} R(286,1161) { alpha44( skol46,
% 3.18/3.56 skol52 ) }.
% 3.18/3.56 parent0: (46580) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46581) {G1,W3,D2,L1,V0,M1} { neq( skol46, skol52 ) }.
% 3.18/3.56 parent0[0]: (291) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), neq( X, Y )
% 3.18/3.56 }.
% 3.18/3.56 parent1[0]: (2778) {G4,W3,D2,L1,V0,M1} R(286,1161) { alpha44( skol46,
% 3.18/3.56 skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := skol46
% 3.18/3.56 Y := skol52
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (2836) {G5,W3,D2,L1,V0,M1} R(2778,291) { neq( skol46, skol52 )
% 3.18/3.56 }.
% 3.18/3.56 parent0: (46581) {G1,W3,D2,L1,V0,M1} { neq( skol46, skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46582) {G1,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.18/3.56 parent0[0]: (290) {G0,W5,D2,L2,V2,M2} I { ! alpha44( X, Y ), ssList( Y )
% 3.18/3.56 }.
% 3.18/3.56 parent1[0]: (2778) {G4,W3,D2,L1,V0,M1} R(286,1161) { alpha44( skol46,
% 3.18/3.56 skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := skol46
% 3.18/3.56 Y := skol52
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (2844) {G5,W2,D2,L1,V0,M1} R(2778,290) { ssList( skol52 ) }.
% 3.18/3.56 parent0: (46582) {G1,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46583) {G2,W10,D2,L4,V0,M4} { ! ssList( skol52 ), !
% 3.18/3.56 totalorderedP( skol52 ), ! segmentP( skol49, skol52 ), ! segmentP( skol52
% 3.18/3.56 , skol46 ) }.
% 3.18/3.56 parent0[2]: (283) {G1,W13,D2,L5,V1,M5} I;d(280);d(279);d(280) { ! ssList( X
% 3.18/3.56 ), ! totalorderedP( X ), ! neq( skol46, X ), ! segmentP( skol49, X ), !
% 3.18/3.56 segmentP( X, skol46 ) }.
% 3.18/3.56 parent1[0]: (2836) {G5,W3,D2,L1,V0,M1} R(2778,291) { neq( skol46, skol52 )
% 3.18/3.56 }.
% 3.18/3.56 substitution0:
% 3.18/3.56 X := skol52
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46584) {G3,W8,D2,L3,V0,M3} { ! totalorderedP( skol52 ), !
% 3.18/3.56 segmentP( skol49, skol52 ), ! segmentP( skol52, skol46 ) }.
% 3.18/3.56 parent0[0]: (46583) {G2,W10,D2,L4,V0,M4} { ! ssList( skol52 ), !
% 3.18/3.56 totalorderedP( skol52 ), ! segmentP( skol49, skol52 ), ! segmentP( skol52
% 3.18/3.56 , skol46 ) }.
% 3.18/3.56 parent1[0]: (2844) {G5,W2,D2,L1,V0,M1} R(2778,290) { ssList( skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (36541) {G6,W8,D2,L3,V0,M3} R(283,2836);r(2844) { !
% 3.18/3.56 totalorderedP( skol52 ), ! segmentP( skol49, skol52 ), ! segmentP( skol52
% 3.18/3.56 , skol46 ) }.
% 3.18/3.56 parent0: (46584) {G3,W8,D2,L3,V0,M3} { ! totalorderedP( skol52 ), !
% 3.18/3.56 segmentP( skol49, skol52 ), ! segmentP( skol52, skol46 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 0 ==> 0
% 3.18/3.56 1 ==> 1
% 3.18/3.56 2 ==> 2
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46585) {G4,W6,D2,L2,V0,M2} { ! segmentP( skol49, skol52 ), !
% 3.18/3.56 segmentP( skol52, skol46 ) }.
% 3.18/3.56 parent0[0]: (36541) {G6,W8,D2,L3,V0,M3} R(283,2836);r(2844) { !
% 3.18/3.56 totalorderedP( skol52 ), ! segmentP( skol49, skol52 ), ! segmentP( skol52
% 3.18/3.56 , skol46 ) }.
% 3.18/3.56 parent1[0]: (440) {G3,W2,D2,L1,V0,M1} S(285);r(282) { totalorderedP( skol52
% 3.18/3.56 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46586) {G5,W3,D2,L1,V0,M1} { ! segmentP( skol52, skol46 ) }.
% 3.18/3.56 parent0[0]: (46585) {G4,W6,D2,L2,V0,M2} { ! segmentP( skol49, skol52 ), !
% 3.18/3.56 segmentP( skol52, skol46 ) }.
% 3.18/3.56 parent1[0]: (2771) {G4,W3,D2,L1,V0,M1} R(287,1161) { segmentP( skol49,
% 3.18/3.56 skol52 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 resolution: (46587) {G5,W0,D0,L0,V0,M0} { }.
% 3.18/3.56 parent0[0]: (46586) {G5,W3,D2,L1,V0,M1} { ! segmentP( skol52, skol46 ) }.
% 3.18/3.56 parent1[0]: (2745) {G4,W3,D2,L1,V0,M1} R(288,1161) { segmentP( skol52,
% 3.18/3.56 skol46 ) }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 substitution1:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 subsumption: (40339) {G7,W0,D0,L0,V0,M0} S(36541);r(440);r(2771);r(2745) {
% 3.18/3.56 }.
% 3.18/3.56 parent0: (46587) {G5,W0,D0,L0,V0,M0} { }.
% 3.18/3.56 substitution0:
% 3.18/3.56 end
% 3.18/3.56 permutation0:
% 3.18/3.56 end
% 3.18/3.56
% 3.18/3.56 Proof check complete!
% 3.18/3.56
% 3.18/3.56 Memory use:
% 3.18/3.56
% 3.18/3.56 space for terms: 716613
% 3.18/3.56 space for clauses: 1785440
% 3.18/3.56
% 3.18/3.56
% 3.18/3.56 clauses generated: 148495
% 3.18/3.56 clauses kept: 40340
% 3.18/3.56 clauses selected: 1290
% 3.18/3.56 clauses deleted: 2732
% 3.18/3.56 clauses inuse deleted: 97
% 3.18/3.56
% 3.18/3.56 subsentry: 214928
% 3.18/3.56 literals s-matched: 136011
% 3.18/3.56 literals matched: 115269
% 3.18/3.56 full subsumption: 57127
% 3.18/3.56
% 3.18/3.56 checksum: 919401588
% 3.18/3.56
% 3.18/3.56
% 3.18/3.56 Bliksem ended
%------------------------------------------------------------------------------