TSTP Solution File: SWC286+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC286+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 19:35:32 EDT 2022
% Result : Theorem 3.13s 3.50s
% Output : Refutation 3.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC286+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 00:23:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.14 *** allocated 10000 integers for termspace/termends
% 0.73/1.14 *** allocated 10000 integers for clauses
% 0.73/1.14 *** allocated 10000 integers for justifications
% 0.73/1.14 Bliksem 1.12
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Automatic Strategy Selection
% 0.73/1.14
% 0.73/1.14 *** allocated 15000 integers for termspace/termends
% 0.73/1.14
% 0.73/1.14 Clauses:
% 0.73/1.14
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.14 { ssItem( skol1 ) }.
% 0.73/1.14 { ssItem( skol49 ) }.
% 0.73/1.14 { ! skol1 = skol49 }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.73/1.14 }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.73/1.14 Y ) ) }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.73/1.14 ( X, Y ) }.
% 0.73/1.14 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.73/1.14 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.73/1.14 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.73/1.14 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.73/1.14 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.73/1.14 ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.73/1.14 ) = X }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.73/1.14 ( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.73/1.14 }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.73/1.14 = X }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.73/1.14 ( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.73/1.14 }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.73/1.14 , Y ) ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.73/1.14 segmentP( X, Y ) }.
% 0.73/1.14 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.73/1.14 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.73/1.14 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.73/1.14 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.73/1.14 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.73/1.14 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.73/1.14 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.73/1.14 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.73/1.14 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.73/1.14 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.73/1.14 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.73/1.14 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.14 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.73/1.14 .
% 0.73/1.14 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.14 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.73/1.14 , U ) }.
% 0.73/1.14 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.14 ) ) = X, alpha12( Y, Z ) }.
% 0.73/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.73/1.14 W ) }.
% 0.73/1.14 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.14 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.73/1.14 { leq( X, Y ), alpha12( X, Y ) }.
% 0.73/1.14 { leq( Y, X ), alpha12( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.73/1.14 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.73/1.14 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.73/1.14 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.73/1.14 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.73/1.14 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.73/1.14 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.73/1.14 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.73/1.14 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.14 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.73/1.14 .
% 0.73/1.14 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.14 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.73/1.14 , U ) }.
% 0.73/1.14 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.14 ) ) = X, alpha13( Y, Z ) }.
% 0.73/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.73/1.14 W ) }.
% 0.73/1.14 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.14 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.73/1.14 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.73/1.14 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.73/1.14 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.73/1.14 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.73/1.14 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.73/1.14 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.73/1.14 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.73/1.14 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.73/1.14 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.14 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.73/1.14 .
% 0.73/1.14 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.14 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.73/1.14 , U ) }.
% 0.73/1.14 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.14 ) ) = X, alpha14( Y, Z ) }.
% 0.73/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.73/1.14 W ) }.
% 0.73/1.14 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.14 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.73/1.14 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.73/1.14 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.73/1.14 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.73/1.14 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.73/1.14 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.73/1.14 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.73/1.14 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.73/1.14 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.73/1.14 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.73/1.14 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.14 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.73/1.14 .
% 0.73/1.14 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.14 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.73/1.14 , U ) }.
% 0.73/1.14 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.14 ) ) = X, leq( Y, Z ) }.
% 0.73/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.73/1.14 W ) }.
% 0.73/1.14 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.14 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.73/1.14 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.73/1.14 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.73/1.14 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.73/1.14 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.73/1.14 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.14 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.73/1.14 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.73/1.14 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.14 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.73/1.14 .
% 0.73/1.14 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.14 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.73/1.14 , U ) }.
% 0.73/1.14 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.14 ) ) = X, lt( Y, Z ) }.
% 0.73/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.73/1.14 W ) }.
% 0.73/1.14 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.14 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.73/1.14 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.73/1.14 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.73/1.14 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.73/1.14 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.73/1.14 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.73/1.14 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.73/1.14 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.73/1.14 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.14 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.73/1.14 .
% 0.73/1.14 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.14 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.73/1.14 , U ) }.
% 0.73/1.14 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.14 ) ) = X, ! Y = Z }.
% 0.73/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.73/1.14 W ) }.
% 0.73/1.14 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.14 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.73/1.14 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.73/1.14 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.73/1.14 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.73/1.14 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.73/1.14 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.73/1.14 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.73/1.14 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.73/1.14 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.73/1.14 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.73/1.14 Z }.
% 0.73/1.14 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.14 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.73/1.14 { ssList( nil ) }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.14 ) = cons( T, Y ), Z = T }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.14 ) = cons( T, Y ), Y = X }.
% 0.73/1.14 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.73/1.14 { ! ssList( X ), nil = X, ssItem( skol50( Y ) ) }.
% 0.73/1.14 { ! ssList( X ), nil = X, cons( skol50( X ), skol43( X ) ) = X }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.73/1.14 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.73/1.14 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.73/1.14 ( cons( Z, Y ), X ) }.
% 0.73/1.14 { ! ssList( X ), app( nil, X ) = X }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.73/1.14 , leq( X, Z ) }.
% 0.73/1.14 { ! ssItem( X ), leq( X, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.73/1.14 lt( X, Z ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.73/1.14 , memberP( Y, X ), memberP( Z, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.73/1.14 app( Y, Z ), X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.14 app( Y, Z ), X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.73/1.14 , X = Y, memberP( Z, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.73/1.14 ), X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.14 cons( Y, Z ), X ) }.
% 0.73/1.14 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.73/1.14 { ! singletonP( nil ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.73/1.14 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.73/1.14 = Y }.
% 0.73/1.14 { ! ssList( X ), frontsegP( X, X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.73/1.14 frontsegP( app( X, Z ), Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.14 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.14 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.73/1.14 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.73/1.14 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.73/1.14 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.73/1.14 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.73/1.14 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.73/1.14 Y }.
% 0.73/1.14 { ! ssList( X ), rearsegP( X, X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.73/1.14 ( app( Z, X ), Y ) }.
% 0.73/1.14 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.14 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.73/1.14 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.73/1.14 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.73/1.14 Y }.
% 0.73/1.14 { ! ssList( X ), segmentP( X, X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.73/1.14 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.73/1.14 { ! ssList( X ), segmentP( X, nil ) }.
% 0.73/1.14 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.73/1.14 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.73/1.14 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.73/1.14 { cyclefreeP( nil ) }.
% 0.73/1.14 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.73/1.14 { totalorderP( nil ) }.
% 0.73/1.14 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.73/1.14 { strictorderP( nil ) }.
% 0.73/1.14 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.73/1.14 { totalorderedP( nil ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.14 alpha10( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.73/1.14 .
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.73/1.14 Y ) ) }.
% 0.73/1.14 { ! alpha10( X, Y ), ! nil = Y }.
% 0.73/1.14 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.73/1.14 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.73/1.14 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.73/1.14 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.73/1.14 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.73/1.14 { strictorderedP( nil ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.14 alpha11( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.73/1.14 .
% 0.73/1.14 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.73/1.14 , Y ) ) }.
% 0.73/1.14 { ! alpha11( X, Y ), ! nil = Y }.
% 0.73/1.14 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.73/1.14 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.73/1.14 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.73/1.14 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.73/1.14 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.73/1.14 { duplicatefreeP( nil ) }.
% 0.73/1.14 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.73/1.14 { equalelemsP( nil ) }.
% 0.73/1.14 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.73/1.14 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.73/1.14 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.73/1.14 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.73/1.14 ( Y ) = tl( X ), Y = X }.
% 0.73/1.14 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.73/1.14 , Z = X }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.73/1.14 , Z = X }.
% 0.73/1.14 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.73/1.14 ( X, app( Y, Z ) ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.73/1.14 { ! ssList( X ), app( X, nil ) = X }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.73/1.14 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.73/1.14 Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.73/1.14 , geq( X, Z ) }.
% 0.73/1.14 { ! ssItem( X ), geq( X, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! lt( X, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.73/1.14 , lt( X, Z ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.73/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.73/1.14 gt( X, Z ) }.
% 0.73/1.14 { ssList( skol46 ) }.
% 0.73/1.14 { ssList( skol51 ) }.
% 0.73/1.14 { ssList( skol52 ) }.
% 0.73/1.14 { ssList( skol53 ) }.
% 0.73/1.14 { skol51 = skol53 }.
% 0.73/1.14 { skol46 = skol52 }.
% 0.73/1.14 { ! strictorderedP( skol46 ) }.
% 0.73/1.14 { alpha44( skol52, skol53 ), nil = skol53 }.
% 0.73/1.14 { alpha44( skol52, skol53 ), nil = skol52 }.
% 0.73/1.14 { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y ) ) }.
% 0.73/1.14 { ! alpha44( X, Y ), alpha46( Y, skol47( Z, Y ) ) }.
% 0.73/1.14 { ! alpha44( X, Y ), alpha45( X, skol47( X, Y ) ) }.
% 0.73/1.14 { ! alpha45( X, Z ), ! memberP( Y, Z ), ! alpha46( Y, Z ), alpha44( X, Y )
% 0.73/1.14 }.
% 0.73/1.14 { ! alpha46( X, Y ), alpha47( Y, Z ), ! memberP( X, Z ), ! leq( Y, Z ) }.
% 0.73/1.14 { ! alpha47( Y, skol48( Z, Y ) ), alpha46( X, Y ) }.
% 0.73/1.14 { leq( Y, skol48( Z, Y ) ), alpha46( X, Y ) }.
% 0.73/1.14 { memberP( X, skol48( X, Y ) ), alpha46( X, Y ) }.
% 0.73/1.14 { ! alpha47( X, Y ), ! ssItem( Y ), X = Y }.
% 0.73/1.14 { ssItem( Y ), alpha47( X, Y ) }.
% 0.73/1.14 { ! X = Y, alpha47( X, Y ) }.
% 0.73/1.14 { ! alpha45( X, Y ), ssItem( Y ) }.
% 0.73/1.14 { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 0.73/1.14 { ! ssItem( Y ), ! cons( Y, nil ) = X, alpha45( X, Y ) }.
% 0.73/1.14
% 0.73/1.14 *** allocated 15000 integers for clauses
% 0.73/1.14 percentage equality = 0.129291, percentage horn = 0.755034
% 0.73/1.14 This is a problem with some equality
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Options Used:
% 0.73/1.14
% 0.73/1.14 useres = 1
% 0.73/1.14 useparamod = 1
% 0.73/1.14 useeqrefl = 1
% 0.73/1.14 useeqfact = 1
% 0.73/1.14 usefactor = 1
% 0.73/1.14 usesimpsplitting = 0
% 0.73/1.14 usesimpdemod = 5
% 0.73/1.14 usesimpres = 3
% 0.73/1.14
% 0.73/1.14 resimpinuse = 1000
% 0.73/1.14 resimpclauses = 20000
% 0.73/1.14 substype = eqrewr
% 0.73/1.14 backwardsubs = 1
% 0.73/1.14 selectoldest = 5
% 0.73/1.14
% 0.73/1.14 litorderings [0] = split
% 0.73/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.14
% 0.73/1.14 termordering = kbo
% 0.73/1.14
% 0.73/1.14 litapriori = 0
% 0.73/1.14 termapriori = 1
% 0.73/1.14 litaposteriori = 0
% 0.73/1.14 termaposteriori = 0
% 0.73/1.14 demodaposteriori = 0
% 0.73/1.14 ordereqreflfact = 0
% 0.73/1.14
% 0.73/1.14 litselect = negord
% 0.73/1.14
% 0.73/1.14 maxweight = 15
% 0.73/1.14 maxdepth = 30000
% 0.73/1.14 maxlength = 115
% 0.73/1.14 maxnrvars = 195
% 0.73/1.14 excuselevel = 1
% 0.73/1.14 increasemaxweight = 1
% 0.73/1.14
% 0.73/1.14 maxselected = 10000000
% 0.73/1.14 maxnrclauses = 10000000
% 0.73/1.14
% 0.73/1.14 showgenerated = 0
% 0.73/1.14 showkept = 0
% 0.73/1.14 showselected = 0
% 0.73/1.14 showdeleted = 0
% 0.73/1.14 showresimp = 1
% 0.73/1.14 showstatus = 2000
% 0.73/1.14
% 0.73/1.14 prologoutput = 0
% 0.73/1.14 nrgoals = 5000000
% 0.73/1.14 totalproof = 1
% 0.73/1.14
% 0.73/1.14 Symbols occurring in the translation:
% 0.73/1.14
% 0.73/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.14 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.14 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.73/1.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.50 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.50 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.73/1.50 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.50 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.73/1.50 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.73/1.50 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.73/1.50 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.50 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.50 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.73/1.50 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.73/1.50 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.73/1.50 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.50 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.73/1.50 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.73/1.50 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.50 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.73/1.50 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.73/1.50 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.50 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.73/1.50 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.50 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.50 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.50 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.73/1.50 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.73/1.50 alpha1 [65, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.73/1.50 alpha2 [66, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.73/1.50 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.73/1.50 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.73/1.50 alpha5 [69, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.73/1.50 alpha6 [70, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.73/1.50 alpha7 [71, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.73/1.50 alpha8 [72, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.73/1.50 alpha9 [73, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.73/1.50 alpha10 [74, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.73/1.50 alpha11 [75, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.73/1.50 alpha12 [76, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.73/1.50 alpha13 [77, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.73/1.50 alpha14 [78, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.73/1.50 alpha15 [79, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.73/1.50 alpha16 [80, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.73/1.50 alpha17 [81, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.73/1.50 alpha18 [82, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.73/1.50 alpha19 [83, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.73/1.50 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.73/1.50 alpha21 [85, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.73/1.50 alpha22 [86, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.73/1.50 alpha23 [87, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.73/1.50 alpha24 [88, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.73/1.50 alpha25 [89, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.73/1.50 alpha26 [90, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.73/1.50 alpha27 [91, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.73/1.50 alpha28 [92, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.73/1.50 alpha29 [93, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.73/1.50 alpha30 [94, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.73/1.50 alpha31 [95, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.73/1.50 alpha32 [96, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.73/1.50 alpha33 [97, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.73/1.50 alpha34 [98, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.73/1.50 alpha35 [99, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.73/1.50 alpha36 [100, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.73/1.50 alpha37 [101, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.73/1.50 alpha38 [102, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.73/1.50 alpha39 [103, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.73/1.50 alpha40 [104, 6] (w:1, o:161, a:1, s:1, b:1),
% 0.73/1.50 alpha41 [105, 6] (w:1, o:162, a:1, s:1, b:1),
% 0.73/1.50 alpha42 [106, 6] (w:1, o:163, a:1, s:1, b:1),
% 0.73/1.50 alpha43 [107, 6] (w:1, o:164, a:1, s:1, b:1),
% 0.73/1.50 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.73/1.50 alpha45 [109, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.73/1.50 alpha46 [110, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.73/1.50 alpha47 [111, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.73/1.50 skol1 [112, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.73/1.50 skol2 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.73/1.50 skol3 [114, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.73/1.50 skol4 [115, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.73/1.50 skol5 [116, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.73/1.50 skol6 [117, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.73/1.50 skol7 [118, 2] (w:1, o:109, a:1, s:1, b:1),
% 3.11/3.50 skol8 [119, 3] (w:1, o:126, a:1, s:1, b:1),
% 3.11/3.50 skol9 [120, 1] (w:1, o:33, a:1, s:1, b:1),
% 3.11/3.50 skol10 [121, 2] (w:1, o:101, a:1, s:1, b:1),
% 3.11/3.50 skol11 [122, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.11/3.50 skol12 [123, 4] (w:1, o:139, a:1, s:1, b:1),
% 3.11/3.50 skol13 [124, 5] (w:1, o:153, a:1, s:1, b:1),
% 3.11/3.50 skol14 [125, 1] (w:1, o:34, a:1, s:1, b:1),
% 3.11/3.50 skol15 [126, 2] (w:1, o:102, a:1, s:1, b:1),
% 3.11/3.50 skol16 [127, 3] (w:1, o:128, a:1, s:1, b:1),
% 3.11/3.50 skol17 [128, 4] (w:1, o:140, a:1, s:1, b:1),
% 3.11/3.50 skol18 [129, 5] (w:1, o:154, a:1, s:1, b:1),
% 3.11/3.50 skol19 [130, 1] (w:1, o:35, a:1, s:1, b:1),
% 3.11/3.50 skol20 [131, 2] (w:1, o:110, a:1, s:1, b:1),
% 3.11/3.50 skol21 [132, 3] (w:1, o:123, a:1, s:1, b:1),
% 3.11/3.50 skol22 [133, 4] (w:1, o:141, a:1, s:1, b:1),
% 3.11/3.50 skol23 [134, 5] (w:1, o:155, a:1, s:1, b:1),
% 3.11/3.50 skol24 [135, 1] (w:1, o:36, a:1, s:1, b:1),
% 3.11/3.50 skol25 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 3.11/3.50 skol26 [137, 3] (w:1, o:124, a:1, s:1, b:1),
% 3.11/3.50 skol27 [138, 4] (w:1, o:142, a:1, s:1, b:1),
% 3.11/3.50 skol28 [139, 5] (w:1, o:156, a:1, s:1, b:1),
% 3.11/3.50 skol29 [140, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.11/3.50 skol30 [141, 2] (w:1, o:112, a:1, s:1, b:1),
% 3.11/3.50 skol31 [142, 3] (w:1, o:129, a:1, s:1, b:1),
% 3.11/3.50 skol32 [143, 4] (w:1, o:143, a:1, s:1, b:1),
% 3.11/3.50 skol33 [144, 5] (w:1, o:157, a:1, s:1, b:1),
% 3.11/3.50 skol34 [145, 1] (w:1, o:30, a:1, s:1, b:1),
% 3.11/3.50 skol35 [146, 2] (w:1, o:113, a:1, s:1, b:1),
% 3.11/3.50 skol36 [147, 3] (w:1, o:130, a:1, s:1, b:1),
% 3.11/3.50 skol37 [148, 4] (w:1, o:144, a:1, s:1, b:1),
% 3.11/3.50 skol38 [149, 5] (w:1, o:158, a:1, s:1, b:1),
% 3.11/3.50 skol39 [150, 1] (w:1, o:31, a:1, s:1, b:1),
% 3.11/3.50 skol40 [151, 2] (w:1, o:104, a:1, s:1, b:1),
% 3.11/3.50 skol41 [152, 3] (w:1, o:131, a:1, s:1, b:1),
% 3.11/3.50 skol42 [153, 4] (w:1, o:145, a:1, s:1, b:1),
% 3.11/3.50 skol43 [154, 1] (w:1, o:38, a:1, s:1, b:1),
% 3.11/3.50 skol44 [155, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.11/3.50 skol45 [156, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.11/3.50 skol46 [157, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.11/3.50 skol47 [158, 2] (w:1, o:105, a:1, s:1, b:1),
% 3.11/3.50 skol48 [159, 2] (w:1, o:106, a:1, s:1, b:1),
% 3.11/3.50 skol49 [160, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.11/3.50 skol50 [161, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.11/3.50 skol51 [162, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.11/3.50 skol52 [163, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.11/3.50 skol53 [164, 0] (w:1, o:18, a:1, s:1, b:1).
% 3.11/3.50
% 3.11/3.50
% 3.11/3.50 Starting Search:
% 3.11/3.50
% 3.11/3.50 *** allocated 22500 integers for clauses
% 3.11/3.50 *** allocated 33750 integers for clauses
% 3.11/3.50 *** allocated 50625 integers for clauses
% 3.11/3.50 *** allocated 22500 integers for termspace/termends
% 3.11/3.50 *** allocated 75937 integers for clauses
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 33750 integers for termspace/termends
% 3.11/3.50 *** allocated 113905 integers for clauses
% 3.11/3.50 *** allocated 50625 integers for termspace/termends
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 3634
% 3.11/3.50 Kept: 2002
% 3.11/3.50 Inuse: 233
% 3.11/3.50 Deleted: 6
% 3.11/3.50 Deletedinuse: 0
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 170857 integers for clauses
% 3.11/3.50 *** allocated 75937 integers for termspace/termends
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 256285 integers for clauses
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 7286
% 3.11/3.50 Kept: 4103
% 3.11/3.50 Inuse: 395
% 3.11/3.50 Deleted: 11
% 3.11/3.50 Deletedinuse: 5
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 113905 integers for termspace/termends
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 384427 integers for clauses
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 10243
% 3.11/3.50 Kept: 6108
% 3.11/3.50 Inuse: 535
% 3.11/3.50 Deleted: 13
% 3.11/3.50 Deletedinuse: 7
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 170857 integers for termspace/termends
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 576640 integers for clauses
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 15140
% 3.11/3.50 Kept: 9020
% 3.11/3.50 Inuse: 675
% 3.11/3.50 Deleted: 20
% 3.11/3.50 Deletedinuse: 14
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 256285 integers for termspace/termends
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 19479
% 3.11/3.50 Kept: 11028
% 3.11/3.50 Inuse: 749
% 3.11/3.50 Deleted: 20
% 3.11/3.50 Deletedinuse: 14
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 864960 integers for clauses
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 28404
% 3.11/3.50 Kept: 13476
% 3.11/3.50 Inuse: 785
% 3.11/3.50 Deleted: 25
% 3.11/3.50 Deletedinuse: 19
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 384427 integers for termspace/termends
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 34602
% 3.11/3.50 Kept: 15499
% 3.11/3.50 Inuse: 838
% 3.11/3.50 Deleted: 48
% 3.11/3.50 Deletedinuse: 40
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 41785
% 3.11/3.50 Kept: 17548
% 3.11/3.50 Inuse: 897
% 3.11/3.50 Deleted: 62
% 3.11/3.50 Deletedinuse: 48
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 1297440 integers for clauses
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 52141
% 3.11/3.50 Kept: 19713
% 3.11/3.50 Inuse: 932
% 3.11/3.50 Deleted: 62
% 3.11/3.50 Deletedinuse: 48
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 Resimplifying clauses:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 *** allocated 576640 integers for termspace/termends
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.11/3.50 Generated: 62371
% 3.11/3.50 Kept: 21827
% 3.11/3.50 Inuse: 970
% 3.11/3.50 Deleted: 2574
% 3.11/3.50 Deletedinuse: 54
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50 Resimplifying inuse:
% 3.11/3.50 Done
% 3.11/3.50
% 3.11/3.50
% 3.11/3.50 Intermediate Status:
% 3.13/3.50 Generated: 69108
% 3.13/3.50 Kept: 23840
% 3.13/3.50 Inuse: 1008
% 3.13/3.50 Deleted: 2575
% 3.13/3.50 Deletedinuse: 54
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 Intermediate Status:
% 3.13/3.50 Generated: 75930
% 3.13/3.50 Kept: 26033
% 3.13/3.50 Inuse: 1034
% 3.13/3.50 Deleted: 2575
% 3.13/3.50 Deletedinuse: 54
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 Intermediate Status:
% 3.13/3.50 Generated: 83563
% 3.13/3.50 Kept: 28172
% 3.13/3.50 Inuse: 1060
% 3.13/3.50 Deleted: 2576
% 3.13/3.50 Deletedinuse: 55
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50 *** allocated 1946160 integers for clauses
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 Intermediate Status:
% 3.13/3.50 Generated: 94643
% 3.13/3.50 Kept: 30471
% 3.13/3.50 Inuse: 1084
% 3.13/3.50 Deleted: 2577
% 3.13/3.50 Deletedinuse: 56
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50 *** allocated 864960 integers for termspace/termends
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 Intermediate Status:
% 3.13/3.50 Generated: 105315
% 3.13/3.50 Kept: 32584
% 3.13/3.50 Inuse: 1117
% 3.13/3.50 Deleted: 2589
% 3.13/3.50 Deletedinuse: 65
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 Intermediate Status:
% 3.13/3.50 Generated: 112727
% 3.13/3.50 Kept: 34620
% 3.13/3.50 Inuse: 1146
% 3.13/3.50 Deleted: 2589
% 3.13/3.50 Deletedinuse: 65
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 Intermediate Status:
% 3.13/3.50 Generated: 116138
% 3.13/3.50 Kept: 36750
% 3.13/3.50 Inuse: 1186
% 3.13/3.50 Deleted: 2589
% 3.13/3.50 Deletedinuse: 65
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 Intermediate Status:
% 3.13/3.50 Generated: 121616
% 3.13/3.50 Kept: 38767
% 3.13/3.50 Inuse: 1228
% 3.13/3.50 Deleted: 2596
% 3.13/3.50 Deletedinuse: 65
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50 Resimplifying inuse:
% 3.13/3.50 Done
% 3.13/3.50
% 3.13/3.50 Resimplifying clauses:
% 3.13/3.50
% 3.13/3.50 Bliksems!, er is een bewijs:
% 3.13/3.50 % SZS status Theorem
% 3.13/3.50 % SZS output start Refutation
% 3.13/3.50
% 3.13/3.50 (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.13/3.50 skol4( Y ) ) }.
% 3.13/3.50 (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X ), cons( skol4
% 3.13/3.50 ( X ), nil ) ==> X }.
% 3.13/3.50 (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 3.13/3.50 ) = X, singletonP( X ) }.
% 3.13/3.50 (109) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.13/3.50 strictorderedP( X ) }.
% 3.13/3.50 (111) {G0,W7,D3,L2,V4,M2} I { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.13/3.50 (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 3.13/3.50 , X ) ) }.
% 3.13/3.50 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.13/3.50 (234) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), strictorderedP( cons( X, nil )
% 3.13/3.50 ) }.
% 3.13/3.50 (235) {G0,W2,D2,L1,V0,M1} I { strictorderedP( nil ) }.
% 3.13/3.50 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.13/3.50 (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 3.13/3.50 (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 3.13/3.50 (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 3.13/3.50 (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==> nil, alpha44
% 3.13/3.50 ( skol46, skol51 ) }.
% 3.13/3.50 (286) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X, skol47( X, Y )
% 3.13/3.50 ) }.
% 3.13/3.50 (295) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y ) }.
% 3.13/3.50 (296) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 3.13/3.50 (1196) {G2,W3,D2,L1,V0,M1} P(283,281);r(235) { alpha44( skol46, skol51 )
% 3.13/3.50 }.
% 3.13/3.50 (5819) {G1,W4,D3,L1,V0,M1} R(109,275);r(281) { ! alpha7( skol46, skol29(
% 3.13/3.50 skol46 ) ) }.
% 3.13/3.50 (5869) {G2,W4,D3,L1,V2,M1} R(111,5819) { ssItem( skol30( X, Y ) ) }.
% 3.13/3.50 (12126) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), ! ssItem( Y ), !
% 3.13/3.50 ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP( cons( Y, X ) )
% 3.13/3.50 }.
% 3.13/3.50 (12145) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList( cons( X,
% 3.13/3.50 nil ) ) }.
% 3.13/3.50 (12173) {G2,W6,D3,L2,V1,M2} Q(12126);f;r(161) { ! ssItem( X ), singletonP(
% 3.13/3.50 cons( X, nil ) ) }.
% 3.13/3.50 (12236) {G3,W5,D3,L2,V2,M2} R(12173,11);r(12145) { ! ssItem( X ), ssItem(
% 3.13/3.50 skol4( Y ) ) }.
% 3.13/3.50 (12427) {G4,W3,D3,L1,V1,M1} R(12236,5869) { ssItem( skol4( X ) ) }.
% 3.13/3.50 (12545) {G5,W5,D4,L1,V1,M1} R(12427,234) { strictorderedP( cons( skol4( X )
% 3.13/3.50 , nil ) ) }.
% 3.13/3.50 (17739) {G6,W6,D2,L3,V1,M3} P(12,12545) { strictorderedP( X ), ! ssList( X
% 3.13/3.50 ), ! singletonP( X ) }.
% 3.13/3.50 (19293) {G7,W2,D2,L1,V0,M1} R(17739,275);r(281) { ! singletonP( skol46 )
% 3.13/3.50 }.
% 3.13/3.50 (34693) {G3,W5,D3,L1,V0,M1} R(286,1196) { alpha45( skol46, skol47( skol46,
% 3.13/3.50 skol51 ) ) }.
% 3.13/3.50 (34741) {G4,W4,D3,L1,V0,M1} R(34693,295) { ssItem( skol47( skol46, skol51 )
% 3.13/3.50 ) }.
% 3.13/3.50 (34766) {G5,W6,D4,L1,V0,M1} R(34741,12173) { singletonP( cons( skol47(
% 3.13/3.50 skol46, skol51 ), nil ) ) }.
% 3.13/3.50 (36999) {G4,W7,D4,L1,V0,M1} R(296,34693) { cons( skol47( skol46, skol51 ),
% 3.13/3.50 nil ) ==> skol46 }.
% 3.13/3.50 (40214) {G8,W0,D0,L0,V0,M0} S(34766);d(36999);r(19293) { }.
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 % SZS output end Refutation
% 3.13/3.50 found a proof!
% 3.13/3.50
% 3.13/3.50
% 3.13/3.50 Unprocessed initial clauses:
% 3.13/3.50
% 3.13/3.50 (40216) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.13/3.50 , ! X = Y }.
% 3.13/3.50 (40217) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40218) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.13/3.50 (40219) {G0,W2,D2,L1,V0,M1} { ssItem( skol49 ) }.
% 3.13/3.50 (40220) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol49 }.
% 3.13/3.50 (40221) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.13/3.50 , Y ), ssList( skol2( Z, T ) ) }.
% 3.13/3.50 (40222) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.13/3.50 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.13/3.50 (40223) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.13/3.50 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.13/3.50 (40224) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.13/3.50 ) ) }.
% 3.13/3.50 (40225) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.13/3.50 ( X, Y, Z ) ) ) = X }.
% 3.13/3.50 (40226) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.13/3.50 , alpha1( X, Y, Z ) }.
% 3.13/3.50 (40227) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.13/3.50 skol4( Y ) ) }.
% 3.13/3.50 (40228) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.13/3.50 skol4( X ), nil ) = X }.
% 3.13/3.50 (40229) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.13/3.50 nil ) = X, singletonP( X ) }.
% 3.13/3.50 (40230) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.13/3.50 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.13/3.50 (40231) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.13/3.50 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.13/3.50 (40232) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.13/3.50 (40233) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.13/3.50 , Y ), ssList( skol6( Z, T ) ) }.
% 3.13/3.50 (40234) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.13/3.50 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.13/3.50 (40235) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.13/3.50 (40236) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.13/3.50 , Y ), ssList( skol7( Z, T ) ) }.
% 3.13/3.50 (40237) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.13/3.50 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.13/3.50 (40238) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.13/3.50 (40239) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.13/3.50 ) ) }.
% 3.13/3.50 (40240) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.13/3.50 skol8( X, Y, Z ) ) = X }.
% 3.13/3.50 (40241) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.13/3.50 , alpha2( X, Y, Z ) }.
% 3.13/3.50 (40242) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.13/3.50 Y ), alpha3( X, Y ) }.
% 3.13/3.50 (40243) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.13/3.50 cyclefreeP( X ) }.
% 3.13/3.50 (40244) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.13/3.50 cyclefreeP( X ) }.
% 3.13/3.50 (40245) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.13/3.50 , Y, Z ) }.
% 3.13/3.50 (40246) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.13/3.50 (40247) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40248) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.13/3.50 alpha28( X, Y, Z, T ) }.
% 3.13/3.50 (40249) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.13/3.50 Z ) }.
% 3.13/3.50 (40250) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.13/3.50 alpha21( X, Y, Z ) }.
% 3.13/3.50 (40251) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.13/3.50 alpha35( X, Y, Z, T, U ) }.
% 3.13/3.50 (40252) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.13/3.50 X, Y, Z, T ) }.
% 3.13/3.50 (40253) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.13/3.50 ), alpha28( X, Y, Z, T ) }.
% 3.13/3.50 (40254) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.13/3.50 alpha41( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40255) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.13/3.50 alpha35( X, Y, Z, T, U ) }.
% 3.13/3.50 (40256) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.13/3.50 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.13/3.50 (40257) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.13/3.50 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.13/3.50 (40258) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.13/3.50 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40259) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.13/3.50 W ) }.
% 3.13/3.50 (40260) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.13/3.50 X ) }.
% 3.13/3.50 (40261) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.13/3.50 (40262) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.13/3.50 (40263) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.13/3.50 ( Y ), alpha4( X, Y ) }.
% 3.13/3.50 (40264) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.13/3.50 totalorderP( X ) }.
% 3.13/3.50 (40265) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.13/3.50 totalorderP( X ) }.
% 3.13/3.50 (40266) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.13/3.50 , Y, Z ) }.
% 3.13/3.50 (40267) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.13/3.50 (40268) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40269) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.13/3.50 alpha29( X, Y, Z, T ) }.
% 3.13/3.50 (40270) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.13/3.50 Z ) }.
% 3.13/3.50 (40271) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.13/3.50 alpha22( X, Y, Z ) }.
% 3.13/3.50 (40272) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.13/3.50 alpha36( X, Y, Z, T, U ) }.
% 3.13/3.50 (40273) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.13/3.50 X, Y, Z, T ) }.
% 3.13/3.50 (40274) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.13/3.50 ), alpha29( X, Y, Z, T ) }.
% 3.13/3.50 (40275) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.13/3.50 alpha42( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40276) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.13/3.50 alpha36( X, Y, Z, T, U ) }.
% 3.13/3.50 (40277) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.13/3.50 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.13/3.50 (40278) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.13/3.50 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.13/3.50 (40279) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.13/3.50 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40280) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.13/3.50 W ) }.
% 3.13/3.50 (40281) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.13/3.50 }.
% 3.13/3.50 (40282) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.13/3.50 (40283) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.13/3.50 (40284) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.13/3.50 ( Y ), alpha5( X, Y ) }.
% 3.13/3.50 (40285) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.13/3.50 strictorderP( X ) }.
% 3.13/3.50 (40286) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.13/3.50 strictorderP( X ) }.
% 3.13/3.50 (40287) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.13/3.50 , Y, Z ) }.
% 3.13/3.50 (40288) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.13/3.50 (40289) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40290) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.13/3.50 alpha30( X, Y, Z, T ) }.
% 3.13/3.50 (40291) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.13/3.50 Z ) }.
% 3.13/3.50 (40292) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.13/3.50 alpha23( X, Y, Z ) }.
% 3.13/3.50 (40293) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.13/3.50 alpha37( X, Y, Z, T, U ) }.
% 3.13/3.50 (40294) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.13/3.50 X, Y, Z, T ) }.
% 3.13/3.50 (40295) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.13/3.50 ), alpha30( X, Y, Z, T ) }.
% 3.13/3.50 (40296) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.13/3.50 alpha43( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40297) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.13/3.50 alpha37( X, Y, Z, T, U ) }.
% 3.13/3.50 (40298) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.13/3.50 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.13/3.50 (40299) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.13/3.50 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.13/3.50 (40300) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.13/3.50 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40301) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.13/3.50 W ) }.
% 3.13/3.50 (40302) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.13/3.50 }.
% 3.13/3.50 (40303) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.13/3.50 (40304) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.13/3.50 (40305) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.13/3.50 ssItem( Y ), alpha6( X, Y ) }.
% 3.13/3.50 (40306) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.13/3.50 totalorderedP( X ) }.
% 3.13/3.50 (40307) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.13/3.50 totalorderedP( X ) }.
% 3.13/3.50 (40308) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.13/3.50 , Y, Z ) }.
% 3.13/3.50 (40309) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.13/3.50 (40310) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40311) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.13/3.50 alpha24( X, Y, Z, T ) }.
% 3.13/3.50 (40312) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.13/3.50 Z ) }.
% 3.13/3.50 (40313) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.13/3.50 alpha15( X, Y, Z ) }.
% 3.13/3.50 (40314) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.13/3.50 alpha31( X, Y, Z, T, U ) }.
% 3.13/3.50 (40315) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.13/3.50 X, Y, Z, T ) }.
% 3.13/3.50 (40316) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.13/3.50 ), alpha24( X, Y, Z, T ) }.
% 3.13/3.50 (40317) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.13/3.50 alpha38( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40318) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.13/3.50 alpha31( X, Y, Z, T, U ) }.
% 3.13/3.50 (40319) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.13/3.50 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.13/3.50 (40320) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.13/3.50 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.13/3.50 (40321) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.13/3.50 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40322) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.13/3.50 }.
% 3.13/3.50 (40323) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.13/3.50 ssItem( Y ), alpha7( X, Y ) }.
% 3.13/3.50 (40324) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.13/3.50 strictorderedP( X ) }.
% 3.13/3.50 (40325) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.13/3.50 strictorderedP( X ) }.
% 3.13/3.50 (40326) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.13/3.50 , Y, Z ) }.
% 3.13/3.50 (40327) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.13/3.50 (40328) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40329) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.13/3.50 alpha25( X, Y, Z, T ) }.
% 3.13/3.50 (40330) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.13/3.50 Z ) }.
% 3.13/3.50 (40331) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.13/3.50 alpha16( X, Y, Z ) }.
% 3.13/3.50 (40332) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.13/3.50 alpha32( X, Y, Z, T, U ) }.
% 3.13/3.50 (40333) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.13/3.50 X, Y, Z, T ) }.
% 3.13/3.50 (40334) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.13/3.50 ), alpha25( X, Y, Z, T ) }.
% 3.13/3.50 (40335) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.13/3.50 alpha39( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40336) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.13/3.50 alpha32( X, Y, Z, T, U ) }.
% 3.13/3.50 (40337) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.13/3.50 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.13/3.50 (40338) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.13/3.50 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.13/3.50 (40339) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.13/3.50 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40340) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.13/3.50 }.
% 3.13/3.50 (40341) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.13/3.50 ssItem( Y ), alpha8( X, Y ) }.
% 3.13/3.50 (40342) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.13/3.50 duplicatefreeP( X ) }.
% 3.13/3.50 (40343) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.13/3.50 duplicatefreeP( X ) }.
% 3.13/3.50 (40344) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.13/3.50 , Y, Z ) }.
% 3.13/3.50 (40345) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.13/3.50 (40346) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40347) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.13/3.50 alpha26( X, Y, Z, T ) }.
% 3.13/3.50 (40348) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.13/3.50 Z ) }.
% 3.13/3.50 (40349) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.13/3.50 alpha17( X, Y, Z ) }.
% 3.13/3.50 (40350) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.13/3.50 alpha33( X, Y, Z, T, U ) }.
% 3.13/3.50 (40351) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.13/3.50 X, Y, Z, T ) }.
% 3.13/3.50 (40352) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.13/3.50 ), alpha26( X, Y, Z, T ) }.
% 3.13/3.50 (40353) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.13/3.50 alpha40( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40354) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.13/3.50 alpha33( X, Y, Z, T, U ) }.
% 3.13/3.50 (40355) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.13/3.50 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.13/3.50 (40356) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.13/3.50 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.13/3.50 (40357) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.13/3.50 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40358) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.13/3.50 (40359) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.13/3.50 ( Y ), alpha9( X, Y ) }.
% 3.13/3.50 (40360) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.13/3.50 equalelemsP( X ) }.
% 3.13/3.50 (40361) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.13/3.50 equalelemsP( X ) }.
% 3.13/3.50 (40362) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.13/3.50 , Y, Z ) }.
% 3.13/3.50 (40363) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.13/3.50 (40364) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40365) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.13/3.50 alpha27( X, Y, Z, T ) }.
% 3.13/3.50 (40366) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.13/3.50 Z ) }.
% 3.13/3.50 (40367) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.13/3.50 alpha18( X, Y, Z ) }.
% 3.13/3.50 (40368) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.13/3.50 alpha34( X, Y, Z, T, U ) }.
% 3.13/3.50 (40369) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.13/3.50 X, Y, Z, T ) }.
% 3.13/3.50 (40370) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.13/3.50 ), alpha27( X, Y, Z, T ) }.
% 3.13/3.50 (40371) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.13/3.50 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.13/3.50 (40372) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.13/3.50 alpha34( X, Y, Z, T, U ) }.
% 3.13/3.50 (40373) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.13/3.50 (40374) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.13/3.50 , ! X = Y }.
% 3.13/3.50 (40375) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.13/3.50 , Y ) }.
% 3.13/3.50 (40376) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.13/3.50 Y, X ) ) }.
% 3.13/3.50 (40377) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.13/3.50 (40378) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.13/3.50 = X }.
% 3.13/3.50 (40379) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.13/3.50 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.13/3.50 (40380) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.13/3.50 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.13/3.50 (40381) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.13/3.50 ) }.
% 3.13/3.50 (40382) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol50( Y )
% 3.13/3.50 ) }.
% 3.13/3.50 (40383) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol50( X ),
% 3.13/3.50 skol43( X ) ) = X }.
% 3.13/3.50 (40384) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.13/3.50 Y, X ) }.
% 3.13/3.50 (40385) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.13/3.50 }.
% 3.13/3.50 (40386) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.13/3.50 X ) ) = Y }.
% 3.13/3.50 (40387) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.13/3.50 }.
% 3.13/3.50 (40388) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.13/3.50 X ) ) = X }.
% 3.13/3.50 (40389) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.13/3.50 , Y ) ) }.
% 3.13/3.50 (40390) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.13/3.50 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.13/3.50 (40391) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.13/3.50 (40392) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.13/3.50 , ! leq( Y, X ), X = Y }.
% 3.13/3.50 (40393) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.13/3.50 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.13/3.50 (40394) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.13/3.50 (40395) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.13/3.50 , leq( Y, X ) }.
% 3.13/3.50 (40396) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.13/3.50 , geq( X, Y ) }.
% 3.13/3.50 (40397) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.13/3.50 , ! lt( Y, X ) }.
% 3.13/3.50 (40398) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.13/3.50 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.13/3.50 (40399) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.13/3.50 , lt( Y, X ) }.
% 3.13/3.50 (40400) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.13/3.50 , gt( X, Y ) }.
% 3.13/3.50 (40401) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.13/3.50 (40402) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.13/3.50 (40403) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.13/3.50 (40404) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.13/3.50 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.13/3.50 (40405) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.13/3.50 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.13/3.50 (40406) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.13/3.50 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.13/3.50 (40407) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.13/3.50 (40408) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.13/3.50 (40409) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.13/3.50 (40410) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.13/3.50 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.13/3.50 (40411) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.13/3.50 (40412) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.13/3.50 (40413) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.13/3.50 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.13/3.50 (40414) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.13/3.50 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.13/3.50 , T ) }.
% 3.13/3.50 (40415) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.13/3.50 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.13/3.50 cons( Y, T ) ) }.
% 3.13/3.50 (40416) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.13/3.50 (40417) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.13/3.50 X }.
% 3.13/3.50 (40418) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.13/3.50 ) }.
% 3.13/3.50 (40419) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.13/3.50 (40420) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.13/3.50 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.13/3.50 (40421) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.13/3.50 (40422) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.13/3.50 (40423) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.13/3.50 (40424) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.13/3.50 }.
% 3.13/3.50 (40425) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.13/3.50 }.
% 3.13/3.50 (40426) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.13/3.50 (40427) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.13/3.50 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.13/3.50 (40428) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.13/3.50 (40429) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.13/3.50 }.
% 3.13/3.50 (40430) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.13/3.50 (40431) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.13/3.50 }.
% 3.13/3.50 (40432) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.13/3.50 }.
% 3.13/3.50 (40433) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.13/3.50 }.
% 3.13/3.50 (40434) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.13/3.50 (40435) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.13/3.50 }.
% 3.13/3.50 (40436) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.13/3.50 (40437) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.13/3.50 ) }.
% 3.13/3.50 (40438) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.13/3.50 (40439) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.13/3.50 ) }.
% 3.13/3.50 (40440) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.13/3.50 (40441) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.13/3.50 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.13/3.50 (40442) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.13/3.50 totalorderedP( cons( X, Y ) ) }.
% 3.13/3.50 (40443) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.13/3.50 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.13/3.50 (40444) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.13/3.50 (40445) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.13/3.50 (40446) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.13/3.50 }.
% 3.13/3.50 (40447) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.13/3.50 (40448) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.13/3.50 (40449) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.13/3.50 alpha19( X, Y ) }.
% 3.13/3.50 (40450) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.13/3.50 ) ) }.
% 3.13/3.50 (40451) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.13/3.50 (40452) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.13/3.50 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.13/3.50 (40453) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.13/3.50 strictorderedP( cons( X, Y ) ) }.
% 3.13/3.50 (40454) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.13/3.50 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.13/3.50 (40455) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.13/3.50 (40456) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.13/3.50 (40457) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.13/3.50 }.
% 3.13/3.50 (40458) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.13/3.50 (40459) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.13/3.50 (40460) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.13/3.50 alpha20( X, Y ) }.
% 3.13/3.50 (40461) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.13/3.50 ) ) }.
% 3.13/3.50 (40462) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.13/3.50 (40463) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.13/3.50 }.
% 3.13/3.50 (40464) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.13/3.50 (40465) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.13/3.50 ) }.
% 3.13/3.50 (40466) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.13/3.50 ) }.
% 3.13/3.50 (40467) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.13/3.50 ) }.
% 3.13/3.50 (40468) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.13/3.50 ) }.
% 3.13/3.50 (40469) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.13/3.50 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.13/3.50 (40470) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.13/3.50 X ) ) = X }.
% 3.13/3.50 (40471) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.13/3.50 (40472) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.13/3.50 (40473) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.13/3.50 = app( cons( Y, nil ), X ) }.
% 3.13/3.50 (40474) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.13/3.50 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.13/3.50 (40475) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.13/3.50 X, Y ), nil = Y }.
% 3.13/3.50 (40476) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.13/3.50 X, Y ), nil = X }.
% 3.13/3.50 (40477) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.13/3.50 nil = X, nil = app( X, Y ) }.
% 3.13/3.50 (40478) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.13/3.50 (40479) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.13/3.50 app( X, Y ) ) = hd( X ) }.
% 3.13/3.50 (40480) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.13/3.50 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.13/3.50 (40481) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.13/3.50 , ! geq( Y, X ), X = Y }.
% 3.13/3.50 (40482) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.13/3.50 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.13/3.50 (40483) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.13/3.50 (40484) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.13/3.50 (40485) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.13/3.50 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.13/3.50 (40486) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.13/3.50 , X = Y, lt( X, Y ) }.
% 3.13/3.50 (40487) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.13/3.50 , ! X = Y }.
% 3.13/3.50 (40488) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.13/3.50 , leq( X, Y ) }.
% 3.13/3.50 (40489) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.13/3.50 ( X, Y ), lt( X, Y ) }.
% 3.13/3.50 (40490) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.13/3.50 , ! gt( Y, X ) }.
% 3.13/3.50 (40491) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.13/3.50 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.13/3.50 (40492) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.13/3.50 (40493) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.13/3.50 (40494) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.13/3.50 (40495) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 3.13/3.50 (40496) {G0,W3,D2,L1,V0,M1} { skol51 = skol53 }.
% 3.13/3.50 (40497) {G0,W3,D2,L1,V0,M1} { skol46 = skol52 }.
% 3.13/3.50 (40498) {G0,W2,D2,L1,V0,M1} { ! strictorderedP( skol46 ) }.
% 3.13/3.50 (40499) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ), nil = skol53 }.
% 3.13/3.50 (40500) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ), nil = skol52 }.
% 3.13/3.50 (40501) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y
% 3.13/3.50 ) ) }.
% 3.13/3.50 (40502) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), alpha46( Y, skol47( Z, Y
% 3.13/3.50 ) ) }.
% 3.13/3.50 (40503) {G0,W8,D3,L2,V2,M2} { ! alpha44( X, Y ), alpha45( X, skol47( X, Y
% 3.13/3.50 ) ) }.
% 3.13/3.50 (40504) {G0,W12,D2,L4,V3,M4} { ! alpha45( X, Z ), ! memberP( Y, Z ), !
% 3.13/3.51 alpha46( Y, Z ), alpha44( X, Y ) }.
% 3.13/3.51 (40505) {G0,W12,D2,L4,V3,M4} { ! alpha46( X, Y ), alpha47( Y, Z ), !
% 3.13/3.51 memberP( X, Z ), ! leq( Y, Z ) }.
% 3.13/3.51 (40506) {G0,W8,D3,L2,V3,M2} { ! alpha47( Y, skol48( Z, Y ) ), alpha46( X,
% 3.13/3.51 Y ) }.
% 3.13/3.51 (40507) {G0,W8,D3,L2,V3,M2} { leq( Y, skol48( Z, Y ) ), alpha46( X, Y )
% 3.13/3.51 }.
% 3.13/3.51 (40508) {G0,W8,D3,L2,V2,M2} { memberP( X, skol48( X, Y ) ), alpha46( X, Y
% 3.13/3.51 ) }.
% 3.13/3.51 (40509) {G0,W8,D2,L3,V2,M3} { ! alpha47( X, Y ), ! ssItem( Y ), X = Y }.
% 3.13/3.51 (40510) {G0,W5,D2,L2,V2,M2} { ssItem( Y ), alpha47( X, Y ) }.
% 3.13/3.51 (40511) {G0,W6,D2,L2,V2,M2} { ! X = Y, alpha47( X, Y ) }.
% 3.13/3.51 (40512) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), ssItem( Y ) }.
% 3.13/3.51 (40513) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 3.13/3.51 (40514) {G0,W10,D3,L3,V2,M3} { ! ssItem( Y ), ! cons( Y, nil ) = X,
% 3.13/3.51 alpha45( X, Y ) }.
% 3.13/3.51
% 3.13/3.51
% 3.13/3.51 Total Proof:
% 3.13/3.51
% 3.13/3.51 subsumption: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X )
% 3.13/3.51 , ssItem( skol4( Y ) ) }.
% 3.13/3.51 parent0: (40227) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ),
% 3.13/3.51 ssItem( skol4( Y ) ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 X := X
% 3.13/3.51 Y := Y
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 1 ==> 1
% 3.13/3.51 2 ==> 2
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 3.13/3.51 , cons( skol4( X ), nil ) ==> X }.
% 3.13/3.51 parent0: (40228) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ),
% 3.13/3.51 cons( skol4( X ), nil ) = X }.
% 3.13/3.51 substitution0:
% 3.13/3.51 X := X
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 1 ==> 1
% 3.13/3.51 2 ==> 2
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 3.13/3.51 cons( Y, nil ) = X, singletonP( X ) }.
% 3.13/3.51 parent0: (40229) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), !
% 3.13/3.51 cons( Y, nil ) = X, singletonP( X ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 X := X
% 3.13/3.51 Y := Y
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 1 ==> 1
% 3.13/3.51 2 ==> 2
% 3.13/3.51 3 ==> 3
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (109) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha7( X,
% 3.13/3.51 skol29( X ) ), strictorderedP( X ) }.
% 3.13/3.51 parent0: (40325) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29
% 3.13/3.51 ( X ) ), strictorderedP( X ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 X := X
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 1 ==> 1
% 3.13/3.51 2 ==> 2
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (111) {G0,W7,D3,L2,V4,M2} I { ssItem( skol30( Z, T ) ), alpha7
% 3.13/3.51 ( X, Y ) }.
% 3.13/3.51 parent0: (40327) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X
% 3.13/3.51 , Y ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 X := X
% 3.13/3.51 Y := Y
% 3.13/3.51 Z := Z
% 3.13/3.51 T := T
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 1 ==> 1
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 3.13/3.51 ssList( cons( Y, X ) ) }.
% 3.13/3.51 parent0: (40376) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ),
% 3.13/3.51 ssList( cons( Y, X ) ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 X := X
% 3.13/3.51 Y := Y
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 1 ==> 1
% 3.13/3.51 2 ==> 2
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.13/3.51 parent0: (40377) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (234) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), strictorderedP(
% 3.13/3.51 cons( X, nil ) ) }.
% 3.13/3.51 parent0: (40450) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons
% 3.13/3.51 ( X, nil ) ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 X := X
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 1 ==> 1
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (235) {G0,W2,D2,L1,V0,M1} I { strictorderedP( nil ) }.
% 3.13/3.51 parent0: (40451) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.13/3.51 parent0: (40492) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.13/3.51 substitution0:
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 eqswap: (41888) {G0,W3,D2,L1,V0,M1} { skol53 = skol51 }.
% 3.13/3.51 parent0[0]: (40496) {G0,W3,D2,L1,V0,M1} { skol51 = skol53 }.
% 3.13/3.51 substitution0:
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 3.13/3.51 parent0: (41888) {G0,W3,D2,L1,V0,M1} { skol53 = skol51 }.
% 3.13/3.51 substitution0:
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 eqswap: (42236) {G0,W3,D2,L1,V0,M1} { skol52 = skol46 }.
% 3.13/3.51 parent0[0]: (40497) {G0,W3,D2,L1,V0,M1} { skol46 = skol52 }.
% 3.13/3.51 substitution0:
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 3.13/3.51 parent0: (42236) {G0,W3,D2,L1,V0,M1} { skol52 = skol46 }.
% 3.13/3.51 substitution0:
% 3.13/3.51 end
% 3.13/3.51 permutation0:
% 3.13/3.51 0 ==> 0
% 3.13/3.51 end
% 3.13/3.51
% 3.13/3.51 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 3.15/3.52 parent0: (40498) {G0,W2,D2,L1,V0,M1} { ! strictorderedP( skol46 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 paramod: (43803) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha44( skol52,
% 3.15/3.52 skol53 ) }.
% 3.15/3.52 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 3.15/3.52 parent1[1; 2]: (40500) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ),
% 3.15/3.52 nil = skol52 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 paramod: (43805) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol53 ), nil =
% 3.15/3.52 skol46 }.
% 3.15/3.52 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 3.15/3.52 parent1[1; 1]: (43803) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha44( skol52
% 3.15/3.52 , skol53 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 paramod: (43806) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol51 ), nil =
% 3.15/3.52 skol46 }.
% 3.15/3.52 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 3.15/3.52 parent1[0; 2]: (43805) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol53 ),
% 3.15/3.52 nil = skol46 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 eqswap: (43807) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 3.15/3.52 skol51 ) }.
% 3.15/3.52 parent0[1]: (43806) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol51 ), nil =
% 3.15/3.52 skol46 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==>
% 3.15/3.52 nil, alpha44( skol46, skol51 ) }.
% 3.15/3.52 parent0: (43807) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 3.15/3.52 skol51 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 1 ==> 1
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (286) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X,
% 3.15/3.52 skol47( X, Y ) ) }.
% 3.15/3.52 parent0: (40503) {G0,W8,D3,L2,V2,M2} { ! alpha44( X, Y ), alpha45( X,
% 3.15/3.52 skol47( X, Y ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 Y := Y
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 1 ==> 1
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (295) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y )
% 3.15/3.52 }.
% 3.15/3.52 parent0: (40512) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), ssItem( Y ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 Y := Y
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 1 ==> 1
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (296) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil
% 3.15/3.52 ) = X }.
% 3.15/3.52 parent0: (40513) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), cons( Y, nil ) =
% 3.15/3.52 X }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 Y := Y
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 1 ==> 1
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 paramod: (44864) {G1,W5,D2,L2,V0,M2} { ! strictorderedP( nil ), alpha44(
% 3.15/3.52 skol46, skol51 ) }.
% 3.15/3.52 parent0[0]: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==>
% 3.15/3.52 nil, alpha44( skol46, skol51 ) }.
% 3.15/3.52 parent1[0; 2]: (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44875) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol51 ) }.
% 3.15/3.52 parent0[0]: (44864) {G1,W5,D2,L2,V0,M2} { ! strictorderedP( nil ), alpha44
% 3.15/3.52 ( skol46, skol51 ) }.
% 3.15/3.52 parent1[0]: (235) {G0,W2,D2,L1,V0,M1} I { strictorderedP( nil ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (1196) {G2,W3,D2,L1,V0,M1} P(283,281);r(235) { alpha44( skol46
% 3.15/3.52 , skol51 ) }.
% 3.15/3.52 parent0: (44875) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol51 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44876) {G1,W6,D3,L2,V0,M2} { ! alpha7( skol46, skol29( skol46
% 3.15/3.52 ) ), strictorderedP( skol46 ) }.
% 3.15/3.52 parent0[0]: (109) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha7( X,
% 3.15/3.52 skol29( X ) ), strictorderedP( X ) }.
% 3.15/3.52 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := skol46
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44877) {G1,W4,D3,L1,V0,M1} { ! alpha7( skol46, skol29( skol46
% 3.15/3.52 ) ) }.
% 3.15/3.52 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 3.15/3.52 parent1[1]: (44876) {G1,W6,D3,L2,V0,M2} { ! alpha7( skol46, skol29( skol46
% 3.15/3.52 ) ), strictorderedP( skol46 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (5819) {G1,W4,D3,L1,V0,M1} R(109,275);r(281) { ! alpha7(
% 3.15/3.52 skol46, skol29( skol46 ) ) }.
% 3.15/3.52 parent0: (44877) {G1,W4,D3,L1,V0,M1} { ! alpha7( skol46, skol29( skol46 )
% 3.15/3.52 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44878) {G1,W4,D3,L1,V2,M1} { ssItem( skol30( X, Y ) ) }.
% 3.15/3.52 parent0[0]: (5819) {G1,W4,D3,L1,V0,M1} R(109,275);r(281) { ! alpha7( skol46
% 3.15/3.52 , skol29( skol46 ) ) }.
% 3.15/3.52 parent1[1]: (111) {G0,W7,D3,L2,V4,M2} I { ssItem( skol30( Z, T ) ), alpha7
% 3.15/3.52 ( X, Y ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 X := skol46
% 3.15/3.52 Y := skol29( skol46 )
% 3.15/3.52 Z := X
% 3.15/3.52 T := Y
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (5869) {G2,W4,D3,L1,V2,M1} R(111,5819) { ssItem( skol30( X, Y
% 3.15/3.52 ) ) }.
% 3.15/3.52 parent0: (44878) {G1,W4,D3,L1,V2,M1} { ssItem( skol30( X, Y ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 Y := Y
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 eqswap: (44879) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList( Y )
% 3.15/3.52 , ! ssItem( X ), singletonP( Y ) }.
% 3.15/3.52 parent0[2]: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 3.15/3.52 cons( Y, nil ) = X, singletonP( X ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := Y
% 3.15/3.52 Y := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44880) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 3.15/3.52 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 3.15/3.52 }.
% 3.15/3.52 parent0[1]: (44879) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList
% 3.15/3.52 ( Y ), ! ssItem( X ), singletonP( Y ) }.
% 3.15/3.52 parent1[2]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 3.15/3.52 ssList( cons( Y, X ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := Z
% 3.15/3.52 Y := cons( X, Y )
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 X := Y
% 3.15/3.52 Y := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 eqswap: (44881) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 3.15/3.52 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X ) }.
% 3.15/3.52 parent0[0]: (44880) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 3.15/3.52 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 3.15/3.52 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 Y := Y
% 3.15/3.52 Z := Z
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (12126) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 3.15/3.52 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 3.15/3.52 cons( Y, X ) ) }.
% 3.15/3.52 parent0: (44881) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 3.15/3.52 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 3.15/3.52 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := Y
% 3.15/3.52 Y := X
% 3.15/3.52 Z := Z
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 3
% 3.15/3.52 1 ==> 2
% 3.15/3.52 2 ==> 4
% 3.15/3.52 3 ==> 0
% 3.15/3.52 4 ==> 1
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44884) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X,
% 3.15/3.52 nil ) ) }.
% 3.15/3.52 parent0[0]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 3.15/3.52 ssList( cons( Y, X ) ) }.
% 3.15/3.52 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := nil
% 3.15/3.52 Y := X
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (12145) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 3.15/3.52 ( cons( X, nil ) ) }.
% 3.15/3.52 parent0: (44884) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X, nil
% 3.15/3.52 ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 1 ==> 1
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 eqswap: (44885) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil ), !
% 3.15/3.52 ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) ) }.
% 3.15/3.52 parent0[3]: (12126) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 3.15/3.52 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 3.15/3.52 cons( Y, X ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := Z
% 3.15/3.52 Y := Y
% 3.15/3.52 Z := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 eqrefl: (44886) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X ), !
% 3.15/3.52 ssItem( X ), singletonP( cons( X, nil ) ) }.
% 3.15/3.52 parent0[0]: (44885) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil )
% 3.15/3.52 , ! ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) )
% 3.15/3.52 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 Y := X
% 3.15/3.52 Z := nil
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44888) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X ),
% 3.15/3.52 singletonP( cons( X, nil ) ) }.
% 3.15/3.52 parent0[0]: (44886) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X )
% 3.15/3.52 , ! ssItem( X ), singletonP( cons( X, nil ) ) }.
% 3.15/3.52 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 factor: (44889) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X,
% 3.15/3.52 nil ) ) }.
% 3.15/3.52 parent0[0, 1]: (44888) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X )
% 3.15/3.52 , singletonP( cons( X, nil ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (12173) {G2,W6,D3,L2,V1,M2} Q(12126);f;r(161) { ! ssItem( X )
% 3.15/3.52 , singletonP( cons( X, nil ) ) }.
% 3.15/3.52 parent0: (44889) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X
% 3.15/3.52 , nil ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 1 ==> 1
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44891) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 3.15/3.52 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 3.15/3.52 parent0[1]: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ),
% 3.15/3.52 ssItem( skol4( Y ) ) }.
% 3.15/3.52 parent1[1]: (12173) {G2,W6,D3,L2,V1,M2} Q(12126);f;r(161) { ! ssItem( X ),
% 3.15/3.52 singletonP( cons( X, nil ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := cons( X, nil )
% 3.15/3.52 Y := Y
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44892) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), ! ssItem(
% 3.15/3.52 X ), ! ssItem( X ) }.
% 3.15/3.52 parent0[0]: (44891) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 3.15/3.52 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 3.15/3.52 parent1[1]: (12145) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 3.15/3.52 ( cons( X, nil ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 Y := Y
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 factor: (44893) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 3.15/3.52 }.
% 3.15/3.52 parent0[1, 2]: (44892) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), !
% 3.15/3.52 ssItem( X ), ! ssItem( X ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := Y
% 3.15/3.52 Y := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (12236) {G3,W5,D3,L2,V2,M2} R(12173,11);r(12145) { ! ssItem( X
% 3.15/3.52 ), ssItem( skol4( Y ) ) }.
% 3.15/3.52 parent0: (44893) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 3.15/3.52 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := Y
% 3.15/3.52 Y := X
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 1
% 3.15/3.52 1 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44894) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 3.15/3.52 parent0[0]: (12236) {G3,W5,D3,L2,V2,M2} R(12173,11);r(12145) { ! ssItem( X
% 3.15/3.52 ), ssItem( skol4( Y ) ) }.
% 3.15/3.52 parent1[0]: (5869) {G2,W4,D3,L1,V2,M1} R(111,5819) { ssItem( skol30( X, Y )
% 3.15/3.52 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := skol30( X, Y )
% 3.15/3.52 Y := Z
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 X := X
% 3.15/3.52 Y := Y
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (12427) {G4,W3,D3,L1,V1,M1} R(12236,5869) { ssItem( skol4( X )
% 3.15/3.52 ) }.
% 3.15/3.52 parent0: (44894) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := Y
% 3.15/3.52 Y := Z
% 3.15/3.52 Z := X
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44895) {G1,W5,D4,L1,V1,M1} { strictorderedP( cons( skol4( X )
% 3.15/3.52 , nil ) ) }.
% 3.15/3.52 parent0[0]: (234) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), strictorderedP(
% 3.15/3.52 cons( X, nil ) ) }.
% 3.15/3.52 parent1[0]: (12427) {G4,W3,D3,L1,V1,M1} R(12236,5869) { ssItem( skol4( X )
% 3.15/3.52 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := skol4( X )
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (12545) {G5,W5,D4,L1,V1,M1} R(12427,234) { strictorderedP(
% 3.15/3.52 cons( skol4( X ), nil ) ) }.
% 3.15/3.52 parent0: (44895) {G1,W5,D4,L1,V1,M1} { strictorderedP( cons( skol4( X ),
% 3.15/3.52 nil ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 paramod: (44897) {G1,W6,D2,L3,V1,M3} { strictorderedP( X ), ! ssList( X )
% 3.15/3.52 , ! singletonP( X ) }.
% 3.15/3.52 parent0[2]: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 3.15/3.52 , cons( skol4( X ), nil ) ==> X }.
% 3.15/3.52 parent1[0; 1]: (12545) {G5,W5,D4,L1,V1,M1} R(12427,234) { strictorderedP(
% 3.15/3.52 cons( skol4( X ), nil ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (17739) {G6,W6,D2,L3,V1,M3} P(12,12545) { strictorderedP( X )
% 3.15/3.52 , ! ssList( X ), ! singletonP( X ) }.
% 3.15/3.52 parent0: (44897) {G1,W6,D2,L3,V1,M3} { strictorderedP( X ), ! ssList( X )
% 3.15/3.52 , ! singletonP( X ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := X
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 1 ==> 1
% 3.15/3.52 2 ==> 2
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44898) {G1,W4,D2,L2,V0,M2} { strictorderedP( skol46 ), !
% 3.15/3.52 singletonP( skol46 ) }.
% 3.15/3.52 parent0[1]: (17739) {G6,W6,D2,L3,V1,M3} P(12,12545) { strictorderedP( X ),
% 3.15/3.52 ! ssList( X ), ! singletonP( X ) }.
% 3.15/3.52 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := skol46
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44899) {G1,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 3.15/3.52 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! strictorderedP( skol46 ) }.
% 3.15/3.52 parent1[0]: (44898) {G1,W4,D2,L2,V0,M2} { strictorderedP( skol46 ), !
% 3.15/3.52 singletonP( skol46 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (19293) {G7,W2,D2,L1,V0,M1} R(17739,275);r(281) { ! singletonP
% 3.15/3.52 ( skol46 ) }.
% 3.15/3.52 parent0: (44899) {G1,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44900) {G1,W5,D3,L1,V0,M1} { alpha45( skol46, skol47( skol46
% 3.15/3.52 , skol51 ) ) }.
% 3.15/3.52 parent0[0]: (286) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X,
% 3.15/3.52 skol47( X, Y ) ) }.
% 3.15/3.52 parent1[0]: (1196) {G2,W3,D2,L1,V0,M1} P(283,281);r(235) { alpha44( skol46
% 3.15/3.52 , skol51 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := skol46
% 3.15/3.52 Y := skol51
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (34693) {G3,W5,D3,L1,V0,M1} R(286,1196) { alpha45( skol46,
% 3.15/3.52 skol47( skol46, skol51 ) ) }.
% 3.15/3.52 parent0: (44900) {G1,W5,D3,L1,V0,M1} { alpha45( skol46, skol47( skol46,
% 3.15/3.52 skol51 ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44901) {G1,W4,D3,L1,V0,M1} { ssItem( skol47( skol46, skol51 )
% 3.15/3.52 ) }.
% 3.15/3.52 parent0[0]: (295) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y )
% 3.15/3.52 }.
% 3.15/3.52 parent1[0]: (34693) {G3,W5,D3,L1,V0,M1} R(286,1196) { alpha45( skol46,
% 3.15/3.52 skol47( skol46, skol51 ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := skol46
% 3.15/3.52 Y := skol47( skol46, skol51 )
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (34741) {G4,W4,D3,L1,V0,M1} R(34693,295) { ssItem( skol47(
% 3.15/3.52 skol46, skol51 ) ) }.
% 3.15/3.52 parent0: (44901) {G1,W4,D3,L1,V0,M1} { ssItem( skol47( skol46, skol51 ) )
% 3.15/3.52 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44902) {G3,W6,D4,L1,V0,M1} { singletonP( cons( skol47( skol46
% 3.15/3.52 , skol51 ), nil ) ) }.
% 3.15/3.52 parent0[0]: (12173) {G2,W6,D3,L2,V1,M2} Q(12126);f;r(161) { ! ssItem( X ),
% 3.15/3.52 singletonP( cons( X, nil ) ) }.
% 3.15/3.52 parent1[0]: (34741) {G4,W4,D3,L1,V0,M1} R(34693,295) { ssItem( skol47(
% 3.15/3.52 skol46, skol51 ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := skol47( skol46, skol51 )
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (34766) {G5,W6,D4,L1,V0,M1} R(34741,12173) { singletonP( cons
% 3.15/3.52 ( skol47( skol46, skol51 ), nil ) ) }.
% 3.15/3.52 parent0: (44902) {G3,W6,D4,L1,V0,M1} { singletonP( cons( skol47( skol46,
% 3.15/3.52 skol51 ), nil ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 eqswap: (44903) {G0,W8,D3,L2,V2,M2} { Y = cons( X, nil ), ! alpha45( Y, X
% 3.15/3.52 ) }.
% 3.15/3.52 parent0[1]: (296) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil )
% 3.15/3.52 = X }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := Y
% 3.15/3.52 Y := X
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44904) {G1,W7,D4,L1,V0,M1} { skol46 = cons( skol47( skol46,
% 3.15/3.52 skol51 ), nil ) }.
% 3.15/3.52 parent0[1]: (44903) {G0,W8,D3,L2,V2,M2} { Y = cons( X, nil ), ! alpha45( Y
% 3.15/3.52 , X ) }.
% 3.15/3.52 parent1[0]: (34693) {G3,W5,D3,L1,V0,M1} R(286,1196) { alpha45( skol46,
% 3.15/3.52 skol47( skol46, skol51 ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 X := skol47( skol46, skol51 )
% 3.15/3.52 Y := skol46
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 eqswap: (44905) {G1,W7,D4,L1,V0,M1} { cons( skol47( skol46, skol51 ), nil
% 3.15/3.52 ) = skol46 }.
% 3.15/3.52 parent0[0]: (44904) {G1,W7,D4,L1,V0,M1} { skol46 = cons( skol47( skol46,
% 3.15/3.52 skol51 ), nil ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (36999) {G4,W7,D4,L1,V0,M1} R(296,34693) { cons( skol47(
% 3.15/3.52 skol46, skol51 ), nil ) ==> skol46 }.
% 3.15/3.52 parent0: (44905) {G1,W7,D4,L1,V0,M1} { cons( skol47( skol46, skol51 ), nil
% 3.15/3.52 ) = skol46 }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 0 ==> 0
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 paramod: (44907) {G5,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 3.15/3.52 parent0[0]: (36999) {G4,W7,D4,L1,V0,M1} R(296,34693) { cons( skol47( skol46
% 3.15/3.52 , skol51 ), nil ) ==> skol46 }.
% 3.15/3.52 parent1[0; 1]: (34766) {G5,W6,D4,L1,V0,M1} R(34741,12173) { singletonP(
% 3.15/3.52 cons( skol47( skol46, skol51 ), nil ) ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 resolution: (44908) {G6,W0,D0,L0,V0,M0} { }.
% 3.15/3.52 parent0[0]: (19293) {G7,W2,D2,L1,V0,M1} R(17739,275);r(281) { ! singletonP
% 3.15/3.52 ( skol46 ) }.
% 3.15/3.52 parent1[0]: (44907) {G5,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 substitution1:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 subsumption: (40214) {G8,W0,D0,L0,V0,M0} S(34766);d(36999);r(19293) { }.
% 3.15/3.52 parent0: (44908) {G6,W0,D0,L0,V0,M0} { }.
% 3.15/3.52 substitution0:
% 3.15/3.52 end
% 3.15/3.52 permutation0:
% 3.15/3.52 end
% 3.15/3.52
% 3.15/3.52 Proof check complete!
% 3.15/3.52
% 3.15/3.52 Memory use:
% 3.15/3.52
% 3.15/3.52 space for terms: 722968
% 3.15/3.52 space for clauses: 1817679
% 3.15/3.52
% 3.15/3.52
% 3.15/3.52 clauses generated: 128338
% 3.15/3.52 clauses kept: 40215
% 3.15/3.52 clauses selected: 1297
% 3.15/3.52 clauses deleted: 2891
% 3.15/3.52 clauses inuse deleted: 66
% 3.15/3.52
% 3.15/3.52 subsentry: 213183
% 3.15/3.52 literals s-matched: 133755
% 3.15/3.52 literals matched: 113666
% 3.15/3.52 full subsumption: 59903
% 3.15/3.52
% 3.15/3.52 checksum: -2069601915
% 3.15/3.52
% 3.15/3.52
% 3.15/3.52 Bliksem ended
%------------------------------------------------------------------------------