TSTP Solution File: SWC122+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC122+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 19:34:01 EDT 2022
% Result : Theorem 51.45s 51.86s
% Output : Refutation 51.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC122+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jun 12 23:37:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.69/1.13 *** allocated 10000 integers for termspace/termends
% 0.69/1.13 *** allocated 10000 integers for clauses
% 0.69/1.13 *** allocated 10000 integers for justifications
% 0.69/1.13 Bliksem 1.12
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Automatic Strategy Selection
% 0.69/1.13
% 0.69/1.13 *** allocated 15000 integers for termspace/termends
% 0.69/1.13
% 0.69/1.13 Clauses:
% 0.69/1.13
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.69/1.13 { ssItem( skol1 ) }.
% 0.69/1.13 { ssItem( skol47 ) }.
% 0.69/1.13 { ! skol1 = skol47 }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.69/1.13 }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.69/1.13 Y ) ) }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.69/1.13 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.69/1.13 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.69/1.13 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.69/1.13 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.69/1.13 ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.69/1.13 ) = X }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.69/1.13 }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.69/1.13 = X }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.69/1.13 }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.69/1.13 , Y ) ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.69/1.13 segmentP( X, Y ) }.
% 0.69/1.13 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.69/1.13 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.69/1.13 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.69/1.13 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.69/1.13 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.69/1.13 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.69/1.13 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.69/1.13 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.69/1.13 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.69/1.13 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.69/1.13 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.69/1.13 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.69/1.13 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.69/1.13 .
% 0.69/1.13 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.69/1.13 , U ) }.
% 0.69/1.13 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.13 ) ) = X, alpha12( Y, Z ) }.
% 0.69/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.69/1.13 W ) }.
% 0.69/1.13 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.69/1.13 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.69/1.13 { leq( X, Y ), alpha12( X, Y ) }.
% 0.69/1.13 { leq( Y, X ), alpha12( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.69/1.13 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.69/1.13 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.69/1.13 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.69/1.13 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.69/1.13 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.69/1.13 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.69/1.13 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.69/1.13 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.69/1.13 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.69/1.13 .
% 0.69/1.13 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.69/1.13 , U ) }.
% 0.69/1.13 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.13 ) ) = X, alpha13( Y, Z ) }.
% 0.69/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.69/1.13 W ) }.
% 0.69/1.13 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.69/1.13 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.69/1.13 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.69/1.13 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.69/1.13 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.69/1.13 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.69/1.13 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.69/1.13 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.69/1.13 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.69/1.13 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.69/1.13 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.69/1.13 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.69/1.13 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.69/1.13 .
% 0.69/1.13 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.69/1.13 , U ) }.
% 0.69/1.13 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.13 ) ) = X, alpha14( Y, Z ) }.
% 0.69/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.69/1.13 W ) }.
% 0.69/1.13 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.69/1.13 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.69/1.13 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.69/1.13 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.69/1.13 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.69/1.13 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.69/1.13 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.69/1.13 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.69/1.13 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.69/1.13 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.69/1.13 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.69/1.13 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.69/1.13 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.69/1.13 .
% 0.69/1.13 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.69/1.13 , U ) }.
% 0.69/1.13 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.13 ) ) = X, leq( Y, Z ) }.
% 0.69/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.69/1.13 W ) }.
% 0.69/1.13 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.69/1.13 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.69/1.13 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.69/1.13 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.69/1.13 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.69/1.13 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.69/1.13 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.69/1.13 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.69/1.13 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.69/1.13 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.69/1.13 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.69/1.13 .
% 0.69/1.13 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.69/1.13 , U ) }.
% 0.69/1.13 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.13 ) ) = X, lt( Y, Z ) }.
% 0.69/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.69/1.13 W ) }.
% 0.69/1.13 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.69/1.13 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.69/1.13 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.69/1.13 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.69/1.13 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.69/1.13 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.69/1.13 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.69/1.13 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.69/1.13 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.69/1.13 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.69/1.13 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.69/1.13 .
% 0.69/1.13 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.69/1.13 , U ) }.
% 0.69/1.13 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.69/1.13 ) ) = X, ! Y = Z }.
% 0.69/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.69/1.13 W ) }.
% 0.69/1.13 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.69/1.13 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.69/1.13 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.69/1.13 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.69/1.13 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.69/1.13 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.69/1.13 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.69/1.13 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.69/1.13 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.69/1.13 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.69/1.13 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.69/1.13 Z }.
% 0.69/1.13 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.69/1.13 { ssList( nil ) }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.69/1.13 ) = cons( T, Y ), Z = T }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.69/1.13 ) = cons( T, Y ), Y = X }.
% 0.69/1.13 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.69/1.13 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.69/1.13 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.69/1.13 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.69/1.13 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.69/1.13 ( cons( Z, Y ), X ) }.
% 0.69/1.13 { ! ssList( X ), app( nil, X ) = X }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.69/1.13 , leq( X, Z ) }.
% 0.69/1.13 { ! ssItem( X ), leq( X, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.69/1.13 lt( X, Z ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.69/1.13 , memberP( Y, X ), memberP( Z, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.69/1.13 app( Y, Z ), X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.69/1.13 app( Y, Z ), X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.69/1.13 , X = Y, memberP( Z, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.69/1.13 ), X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.69/1.13 cons( Y, Z ), X ) }.
% 0.69/1.13 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.69/1.13 { ! singletonP( nil ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.69/1.13 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.69/1.13 = Y }.
% 0.69/1.13 { ! ssList( X ), frontsegP( X, X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.69/1.13 frontsegP( app( X, Z ), Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.69/1.13 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.69/1.13 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.69/1.13 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.69/1.13 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.69/1.13 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.69/1.13 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.69/1.13 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.69/1.13 Y }.
% 0.69/1.13 { ! ssList( X ), rearsegP( X, X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.69/1.13 ( app( Z, X ), Y ) }.
% 0.69/1.13 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.69/1.13 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.69/1.13 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.69/1.13 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.69/1.13 Y }.
% 0.69/1.13 { ! ssList( X ), segmentP( X, X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.69/1.13 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.69/1.13 { ! ssList( X ), segmentP( X, nil ) }.
% 0.69/1.13 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.69/1.13 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.69/1.13 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.69/1.13 { cyclefreeP( nil ) }.
% 0.69/1.13 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.69/1.13 { totalorderP( nil ) }.
% 0.69/1.13 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.69/1.13 { strictorderP( nil ) }.
% 0.69/1.13 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.69/1.13 { totalorderedP( nil ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.69/1.13 alpha10( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.69/1.13 .
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.69/1.13 Y ) ) }.
% 0.69/1.13 { ! alpha10( X, Y ), ! nil = Y }.
% 0.69/1.13 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.69/1.13 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.69/1.13 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.69/1.13 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.69/1.13 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.69/1.13 { strictorderedP( nil ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.69/1.13 alpha11( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.69/1.13 .
% 0.69/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.69/1.13 , Y ) ) }.
% 0.69/1.13 { ! alpha11( X, Y ), ! nil = Y }.
% 0.69/1.13 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.69/1.13 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.69/1.13 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.69/1.13 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.69/1.13 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.69/1.13 { duplicatefreeP( nil ) }.
% 0.69/1.13 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.69/1.13 { equalelemsP( nil ) }.
% 0.69/1.13 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.69/1.13 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.69/1.13 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.69/1.13 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.69/1.13 ( Y ) = tl( X ), Y = X }.
% 0.69/1.13 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.69/1.13 , Z = X }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.69/1.13 , Z = X }.
% 0.69/1.13 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.69/1.13 ( X, app( Y, Z ) ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.69/1.13 { ! ssList( X ), app( X, nil ) = X }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.69/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.69/1.13 Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.69/1.13 , geq( X, Z ) }.
% 0.69/1.13 { ! ssItem( X ), geq( X, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! lt( X, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.69/1.13 , lt( X, Z ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.69/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.69/1.13 gt( X, Z ) }.
% 0.69/1.13 { ssList( skol46 ) }.
% 0.69/1.13 { ssList( skol49 ) }.
% 0.69/1.13 { ssList( skol50 ) }.
% 0.69/1.13 { ssList( skol51 ) }.
% 0.69/1.13 { skol49 = skol51 }.
% 0.69/1.13 { skol46 = skol50 }.
% 0.69/1.13 { neq( skol49, nil ) }.
% 0.69/1.13 { nil = skol50, ! nil = skol51 }.
% 0.69/1.13 { ! neq( skol46, nil ), ! segmentP( skol49, skol46 ) }.
% 0.69/1.13 { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 0.69/1.13 { ! neq( skol51, nil ), rearsegP( skol51, skol50 ) }.
% 0.69/1.13
% 0.69/1.13 *** allocated 15000 integers for clauses
% 0.69/1.13 percentage equality = 0.129147, percentage horn = 0.762238
% 0.69/1.13 This is a problem with some equality
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Options Used:
% 0.69/1.13
% 0.69/1.13 useres = 1
% 0.69/1.13 useparamod = 1
% 0.69/1.13 useeqrefl = 1
% 0.69/1.13 useeqfact = 1
% 0.69/1.13 usefactor = 1
% 0.69/1.13 usesimpsplitting = 0
% 0.69/1.13 usesimpdemod = 5
% 0.69/1.13 usesimpres = 3
% 0.69/1.13
% 0.69/1.13 resimpinuse = 1000
% 0.69/1.13 resimpclauses = 20000
% 0.69/1.13 substype = eqrewr
% 0.69/1.13 backwardsubs = 1
% 0.69/1.13 selectoldest = 5
% 0.69/1.13
% 0.69/1.13 litorderings [0] = split
% 0.69/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.13
% 0.69/1.13 termordering = kbo
% 0.69/1.13
% 0.69/1.13 litapriori = 0
% 0.69/1.13 termapriori = 1
% 0.69/1.13 litaposteriori = 0
% 0.69/1.13 termaposteriori = 0
% 0.69/1.13 demodaposteriori = 0
% 0.69/1.13 ordereqreflfact = 0
% 0.69/1.13
% 0.69/1.13 litselect = negord
% 0.69/1.13
% 0.69/1.13 maxweight = 15
% 0.69/1.13 maxdepth = 30000
% 0.69/1.13 maxlength = 115
% 0.69/1.13 maxnrvars = 195
% 0.69/1.13 excuselevel = 1
% 0.69/1.13 increasemaxweight = 1
% 0.69/1.13
% 0.69/1.13 maxselected = 10000000
% 0.69/1.13 maxnrclauses = 10000000
% 0.69/1.13
% 0.69/1.13 showgenerated = 0
% 0.69/1.13 showkept = 0
% 0.69/1.13 showselected = 0
% 0.69/1.13 showdeleted = 0
% 0.69/1.13 showresimp = 1
% 0.69/1.13 showstatus = 2000
% 0.69/1.13
% 0.69/1.13 prologoutput = 0
% 0.69/1.13 nrgoals = 5000000
% 0.69/1.13 totalproof = 1
% 0.69/1.13
% 0.69/1.13 Symbols occurring in the translation:
% 0.69/1.13
% 0.69/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.13 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.13 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.69/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.13 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.69/1.13 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.69/1.13 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.69/1.13 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.69/1.13 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.69/1.13 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.69/1.13 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.13 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.69/1.13 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.69/1.13 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.55/1.96 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.55/1.96 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.55/1.96 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.55/1.96 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.55/1.96 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.55/1.96 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.55/1.96 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.55/1.96 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.55/1.96 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.55/1.96 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.55/1.96 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.55/1.96 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.55/1.96 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.55/1.96 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.55/1.96 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 1.55/1.96 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.55/1.96 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.55/1.96 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.55/1.96 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.55/1.96 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.55/1.96 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.55/1.96 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.55/1.96 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.55/1.96 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.55/1.96 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.55/1.96 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.55/1.96 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.55/1.96 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.55/1.96 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.55/1.96 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.55/1.96 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.55/1.96 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.55/1.96 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.55/1.96 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.55/1.96 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.55/1.96 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.55/1.96 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.55/1.96 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 1.55/1.96 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.55/1.96 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.55/1.96 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.55/1.96 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.55/1.96 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.55/1.96 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.55/1.96 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 1.55/1.96 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.55/1.96 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.55/1.96 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.55/1.96 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.55/1.96 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.55/1.96 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.55/1.96 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 1.55/1.96 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.55/1.96 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.55/1.96 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.55/1.96 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.55/1.96 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.55/1.96 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.55/1.96 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.55/1.96 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.55/1.96 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.55/1.96 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.55/1.96 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.55/1.96 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.55/1.96 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.55/1.96 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.55/1.96 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.55/1.96 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.55/1.96 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.55/1.96 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.55/1.96 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.55/1.96 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.55/1.96 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.55/1.96 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.55/1.96 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.55/1.96 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.55/1.96 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.55/1.96 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.55/1.96 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.55/1.96 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 10.92/11.36 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 10.92/11.36 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 10.92/11.36 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 10.92/11.36 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 10.92/11.36 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 10.92/11.36 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 10.92/11.36 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 10.92/11.36 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 10.92/11.36 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 10.92/11.36 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 10.92/11.36 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 10.92/11.36 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 10.92/11.36 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 10.92/11.36 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 10.92/11.36 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 10.92/11.36 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 10.92/11.36 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 10.92/11.36 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 10.92/11.36 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 10.92/11.36 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 10.92/11.36 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 10.92/11.36 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 10.92/11.36 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 10.92/11.36 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 10.92/11.36 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 10.92/11.36 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 10.92/11.36 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 10.92/11.36 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 10.92/11.36
% 10.92/11.36
% 10.92/11.36 Starting Search:
% 10.92/11.36
% 10.92/11.36 *** allocated 22500 integers for clauses
% 10.92/11.36 *** allocated 33750 integers for clauses
% 10.92/11.36 *** allocated 50625 integers for clauses
% 10.92/11.36 *** allocated 22500 integers for termspace/termends
% 10.92/11.36 *** allocated 75937 integers for clauses
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 33750 integers for termspace/termends
% 10.92/11.36 *** allocated 113905 integers for clauses
% 10.92/11.36 *** allocated 50625 integers for termspace/termends
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 3721
% 10.92/11.36 Kept: 2002
% 10.92/11.36 Inuse: 209
% 10.92/11.36 Deleted: 8
% 10.92/11.36 Deletedinuse: 2
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 170857 integers for clauses
% 10.92/11.36 *** allocated 75937 integers for termspace/termends
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 256285 integers for clauses
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 6776
% 10.92/11.36 Kept: 4004
% 10.92/11.36 Inuse: 377
% 10.92/11.36 Deleted: 11
% 10.92/11.36 Deletedinuse: 5
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 113905 integers for termspace/termends
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 384427 integers for clauses
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 10333
% 10.92/11.36 Kept: 6046
% 10.92/11.36 Inuse: 490
% 10.92/11.36 Deleted: 21
% 10.92/11.36 Deletedinuse: 15
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 170857 integers for termspace/termends
% 10.92/11.36 *** allocated 576640 integers for clauses
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 13479
% 10.92/11.36 Kept: 8115
% 10.92/11.36 Inuse: 596
% 10.92/11.36 Deleted: 21
% 10.92/11.36 Deletedinuse: 15
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 17306
% 10.92/11.36 Kept: 10614
% 10.92/11.36 Inuse: 673
% 10.92/11.36 Deleted: 35
% 10.92/11.36 Deletedinuse: 27
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 256285 integers for termspace/termends
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 864960 integers for clauses
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 21764
% 10.92/11.36 Kept: 12678
% 10.92/11.36 Inuse: 743
% 10.92/11.36 Deleted: 35
% 10.92/11.36 Deletedinuse: 27
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 30416
% 10.92/11.36 Kept: 14792
% 10.92/11.36 Inuse: 782
% 10.92/11.36 Deleted: 50
% 10.92/11.36 Deletedinuse: 41
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 384427 integers for termspace/termends
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 37357
% 10.92/11.36 Kept: 16820
% 10.92/11.36 Inuse: 845
% 10.92/11.36 Deleted: 74
% 10.92/11.36 Deletedinuse: 63
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 *** allocated 1297440 integers for clauses
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 45858
% 10.92/11.36 Kept: 18969
% 10.92/11.36 Inuse: 897
% 10.92/11.36 Deleted: 96
% 10.92/11.36 Deletedinuse: 67
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 Resimplifying clauses:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36 Resimplifying inuse:
% 10.92/11.36 Done
% 10.92/11.36
% 10.92/11.36
% 10.92/11.36 Intermediate Status:
% 10.92/11.36 Generated: 57514
% 10.92/11.36 Kept: 21311
% 10.92/11.36 Inuse: 932
% 10.92/11.36 Deleted: 1875
% 10.92/11.36 Deletedinuse: 68
% 10.92/11.36
% 10.92/11.36 *** allocated 576640 integers for termspace/termends
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 65687
% 29.93/30.32 Kept: 23326
% 29.93/30.32 Inuse: 962
% 29.93/30.32 Deleted: 1883
% 29.93/30.32 Deletedinuse: 68
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 72817
% 29.93/30.32 Kept: 25344
% 29.93/30.32 Inuse: 1004
% 29.93/30.32 Deleted: 1883
% 29.93/30.32 Deletedinuse: 68
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 79996
% 29.93/30.32 Kept: 27365
% 29.93/30.32 Inuse: 1043
% 29.93/30.32 Deleted: 1885
% 29.93/30.32 Deletedinuse: 70
% 29.93/30.32
% 29.93/30.32 *** allocated 1946160 integers for clauses
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 90383
% 29.93/30.32 Kept: 29506
% 29.93/30.32 Inuse: 1064
% 29.93/30.32 Deleted: 1885
% 29.93/30.32 Deletedinuse: 70
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 *** allocated 864960 integers for termspace/termends
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 102958
% 29.93/30.32 Kept: 32106
% 29.93/30.32 Inuse: 1100
% 29.93/30.32 Deleted: 1892
% 29.93/30.32 Deletedinuse: 73
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 111199
% 29.93/30.32 Kept: 34159
% 29.93/30.32 Inuse: 1216
% 29.93/30.32 Deleted: 1898
% 29.93/30.32 Deletedinuse: 73
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 124983
% 29.93/30.32 Kept: 36208
% 29.93/30.32 Inuse: 1255
% 29.93/30.32 Deleted: 1910
% 29.93/30.32 Deletedinuse: 73
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 134310
% 29.93/30.32 Kept: 38358
% 29.93/30.32 Inuse: 1279
% 29.93/30.32 Deleted: 1910
% 29.93/30.32 Deletedinuse: 73
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying clauses:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 142418
% 29.93/30.32 Kept: 40670
% 29.93/30.32 Inuse: 1315
% 29.93/30.32 Deleted: 3598
% 29.93/30.32 Deletedinuse: 73
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 *** allocated 2919240 integers for clauses
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 153624
% 29.93/30.32 Kept: 42700
% 29.93/30.32 Inuse: 1353
% 29.93/30.32 Deleted: 3601
% 29.93/30.32 Deletedinuse: 76
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 169134
% 29.93/30.32 Kept: 44716
% 29.93/30.32 Inuse: 1393
% 29.93/30.32 Deleted: 3601
% 29.93/30.32 Deletedinuse: 76
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 181142
% 29.93/30.32 Kept: 46840
% 29.93/30.32 Inuse: 1459
% 29.93/30.32 Deleted: 3602
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 187932
% 29.93/30.32 Kept: 48848
% 29.93/30.32 Inuse: 1474
% 29.93/30.32 Deleted: 3602
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 196664
% 29.93/30.32 Kept: 50880
% 29.93/30.32 Inuse: 1492
% 29.93/30.32 Deleted: 3602
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 *** allocated 1297440 integers for termspace/termends
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 207761
% 29.93/30.32 Kept: 52924
% 29.93/30.32 Inuse: 1536
% 29.93/30.32 Deleted: 3602
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 214972
% 29.93/30.32 Kept: 55571
% 29.93/30.32 Inuse: 1547
% 29.93/30.32 Deleted: 3602
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 222305
% 29.93/30.32 Kept: 57584
% 29.93/30.32 Inuse: 1565
% 29.93/30.32 Deleted: 3602
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 229342
% 29.93/30.32 Kept: 59636
% 29.93/30.32 Inuse: 1581
% 29.93/30.32 Deleted: 3602
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying clauses:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 236859
% 29.93/30.32 Kept: 61664
% 29.93/30.32 Inuse: 1596
% 29.93/30.32 Deleted: 4830
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 248391
% 29.93/30.32 Kept: 63808
% 29.93/30.32 Inuse: 1633
% 29.93/30.32 Deleted: 4830
% 29.93/30.32 Deletedinuse: 77
% 29.93/30.32
% 29.93/30.32 *** allocated 4378860 integers for clauses
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 258123
% 29.93/30.32 Kept: 65920
% 29.93/30.32 Inuse: 1661
% 29.93/30.32 Deleted: 4837
% 29.93/30.32 Deletedinuse: 79
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 29.93/30.32 Generated: 267298
% 29.93/30.32 Kept: 67932
% 29.93/30.32 Inuse: 1679
% 29.93/30.32 Deleted: 4837
% 29.93/30.32 Deletedinuse: 79
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32 Resimplifying inuse:
% 29.93/30.32 Done
% 29.93/30.32
% 29.93/30.32
% 29.93/30.32 Intermediate Status:
% 51.45/51.86 Generated: 276760
% 51.45/51.86 Kept: 70042
% 51.45/51.86 Inuse: 1695
% 51.45/51.86 Deleted: 4837
% 51.45/51.86 Deletedinuse: 79
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 286841
% 51.45/51.86 Kept: 72089
% 51.45/51.86 Inuse: 1713
% 51.45/51.86 Deleted: 4837
% 51.45/51.86 Deletedinuse: 79
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 296035
% 51.45/51.86 Kept: 74148
% 51.45/51.86 Inuse: 1757
% 51.45/51.86 Deleted: 4852
% 51.45/51.86 Deletedinuse: 93
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 299425
% 51.45/51.86 Kept: 76268
% 51.45/51.86 Inuse: 1800
% 51.45/51.86 Deleted: 4853
% 51.45/51.86 Deletedinuse: 93
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 323412
% 51.45/51.86 Kept: 78288
% 51.45/51.86 Inuse: 1892
% 51.45/51.86 Deleted: 4855
% 51.45/51.86 Deletedinuse: 93
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 330527
% 51.45/51.86 Kept: 80299
% 51.45/51.86 Inuse: 1941
% 51.45/51.86 Deleted: 4856
% 51.45/51.86 Deletedinuse: 93
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying clauses:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 341233
% 51.45/51.86 Kept: 82352
% 51.45/51.86 Inuse: 1986
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 *** allocated 1946160 integers for termspace/termends
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 354304
% 51.45/51.86 Kept: 84352
% 51.45/51.86 Inuse: 2028
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 364322
% 51.45/51.86 Kept: 86402
% 51.45/51.86 Inuse: 2058
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 376120
% 51.45/51.86 Kept: 88512
% 51.45/51.86 Inuse: 2098
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 380870
% 51.45/51.86 Kept: 90599
% 51.45/51.86 Inuse: 2113
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 388535
% 51.45/51.86 Kept: 92615
% 51.45/51.86 Inuse: 2156
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 394346
% 51.45/51.86 Kept: 94821
% 51.45/51.86 Inuse: 2192
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 400314
% 51.45/51.86 Kept: 96849
% 51.45/51.86 Inuse: 2229
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 *** allocated 6568290 integers for clauses
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 408903
% 51.45/51.86 Kept: 98861
% 51.45/51.86 Inuse: 2284
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 417382
% 51.45/51.86 Kept: 100872
% 51.45/51.86 Inuse: 2331
% 51.45/51.86 Deleted: 6215
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying clauses:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 437220
% 51.45/51.86 Kept: 102953
% 51.45/51.86 Inuse: 2382
% 51.45/51.86 Deleted: 7051
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 444117
% 51.45/51.86 Kept: 105000
% 51.45/51.86 Inuse: 2411
% 51.45/51.86 Deleted: 7051
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 452472
% 51.45/51.86 Kept: 107019
% 51.45/51.86 Inuse: 2441
% 51.45/51.86 Deleted: 7051
% 51.45/51.86 Deletedinuse: 99
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 469311
% 51.45/51.86 Kept: 109196
% 51.45/51.86 Inuse: 2492
% 51.45/51.86 Deleted: 7064
% 51.45/51.86 Deletedinuse: 100
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 491840
% 51.45/51.86 Kept: 111254
% 51.45/51.86 Inuse: 2520
% 51.45/51.86 Deleted: 7081
% 51.45/51.86 Deletedinuse: 104
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 511937
% 51.45/51.86 Kept: 113441
% 51.45/51.86 Inuse: 2557
% 51.45/51.86 Deleted: 7081
% 51.45/51.86 Deletedinuse: 104
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 519513
% 51.45/51.86 Kept: 115493
% 51.45/51.86 Inuse: 2566
% 51.45/51.86 Deleted: 7081
% 51.45/51.86 Deletedinuse: 104
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 528029
% 51.45/51.86 Kept: 117607
% 51.45/51.86 Inuse: 2590
% 51.45/51.86 Deleted: 7104
% 51.45/51.86 Deletedinuse: 126
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 551084
% 51.45/51.86 Kept: 119786
% 51.45/51.86 Inuse: 2735
% 51.45/51.86 Deleted: 7106
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying clauses:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 591886
% 51.45/51.86 Kept: 121858
% 51.45/51.86 Inuse: 2910
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 610287
% 51.45/51.86 Kept: 123908
% 51.45/51.86 Inuse: 2998
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 622560
% 51.45/51.86 Kept: 125911
% 51.45/51.86 Inuse: 3035
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 643388
% 51.45/51.86 Kept: 127955
% 51.45/51.86 Inuse: 3135
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 651492
% 51.45/51.86 Kept: 130172
% 51.45/51.86 Inuse: 3171
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 *** allocated 2919240 integers for termspace/termends
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 655903
% 51.45/51.86 Kept: 132284
% 51.45/51.86 Inuse: 3179
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 660135
% 51.45/51.86 Kept: 134296
% 51.45/51.86 Inuse: 3187
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 664947
% 51.45/51.86 Kept: 136428
% 51.45/51.86 Inuse: 3195
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 669356
% 51.45/51.86 Kept: 138503
% 51.45/51.86 Inuse: 3203
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Intermediate Status:
% 51.45/51.86 Generated: 679418
% 51.45/51.86 Kept: 140611
% 51.45/51.86 Inuse: 3215
% 51.45/51.86 Deleted: 8807
% 51.45/51.86 Deletedinuse: 128
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying inuse:
% 51.45/51.86 Done
% 51.45/51.86
% 51.45/51.86 Resimplifying clauses:
% 51.45/51.86
% 51.45/51.86 Bliksems!, er is een bewijs:
% 51.45/51.86 % SZS status Theorem
% 51.45/51.86 % SZS output start Refutation
% 51.45/51.86
% 51.45/51.86 (17) {G0,W11,D3,L4,V4,M4} I { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 51.45/51.86 Y ), ssList( skol6( Z, T ) ) }.
% 51.45/51.86 (18) {G0,W14,D4,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 51.45/51.86 Y ), app( skol6( X, Y ), Y ) ==> X }.
% 51.45/51.86 (20) {G0,W11,D3,L4,V4,M4} I { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 51.45/51.86 Y ), ssList( skol7( Z, T ) ) }.
% 51.45/51.86 (21) {G0,W13,D3,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 51.45/51.86 Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 51.45/51.86 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 51.45/51.86 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 51.45/51.86 (23) {G0,W9,D3,L2,V6,M2} I { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 51.45/51.86 ) }.
% 51.45/51.86 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 51.45/51.86 alpha2( X, Y, Z ) }.
% 51.45/51.86 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 51.45/51.86 (173) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 51.45/51.86 , Y ) ) }.
% 51.45/51.86 (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X ) }.
% 51.45/51.86 (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X ) }.
% 51.45/51.86 (262) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( X, nil ) ==> X }.
% 51.45/51.86 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 51.45/51.86 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 51.45/51.86 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 51.45/51.86 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 51.45/51.86 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 51.45/51.86 (283) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! segmentP( skol49,
% 51.45/51.86 skol46 ) }.
% 51.45/51.86 (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46, nil ) }.
% 51.45/51.86 (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) { rearsegP( skol49
% 51.45/51.86 , skol46 ) }.
% 51.45/51.86 (296) {G1,W6,D3,L2,V3,M2} F(17);r(205) { ! ssList( X ), ssList( skol6( Y, Z
% 51.45/51.86 ) ) }.
% 51.45/51.86 (302) {G1,W6,D3,L2,V3,M2} F(20);r(212) { ! ssList( X ), ssList( skol7( Y, Z
% 51.45/51.86 ) ) }.
% 51.45/51.86 (490) {G1,W3,D2,L1,V0,M1} R(212,276) { segmentP( skol49, skol49 ) }.
% 51.45/51.86 (721) {G2,W9,D4,L2,V0,M2} R(18,285);r(276) { ! ssList( skol46 ), app( skol6
% 51.45/51.86 ( skol49, skol46 ), skol46 ) ==> skol49 }.
% 51.45/51.86 (780) {G2,W6,D3,L1,V0,M1} R(21,490);f;r(276) { alpha2( skol49, skol49,
% 51.45/51.86 skol7( skol49, skol49 ) ) }.
% 51.45/51.86 (877) {G2,W3,D2,L1,V0,M1} S(283);r(284) { ! segmentP( skol49, skol46 ) }.
% 51.45/51.86 (878) {G3,W8,D2,L3,V1,M3} R(877,22);r(276) { ! ssList( skol46 ), ! ssList(
% 51.45/51.86 X ), ! alpha2( skol49, skol46, X ) }.
% 51.45/51.86 (890) {G1,W11,D4,L2,V3,M2} R(25,161) { ! app( app( X, Y ), nil ) = Z,
% 51.45/51.86 alpha2( Z, Y, X ) }.
% 51.45/51.86 (926) {G3,W5,D3,L1,V3,M1} R(780,23) { ssList( skol8( X, Y, Z ) ) }.
% 51.45/51.86 (1060) {G4,W4,D3,L1,V2,M1} R(302,926) { ssList( skol7( X, Y ) ) }.
% 51.45/51.86 (1190) {G5,W4,D3,L1,V2,M1} R(296,1060) { ssList( skol6( X, Y ) ) }.
% 51.45/51.86 (16055) {G1,W6,D3,L2,V1,M2} R(173,275) { ! ssList( X ), ssList( app( X,
% 51.45/51.86 skol46 ) ) }.
% 51.45/51.86 (20236) {G4,W6,D2,L2,V1,M2} S(878);r(275) { ! ssList( X ), ! alpha2( skol49
% 51.45/51.86 , skol46, X ) }.
% 51.45/51.86 (20246) {G3,W7,D4,L1,V0,M1} S(721);r(275) { app( skol6( skol49, skol46 ),
% 51.45/51.86 skol46 ) ==> skol49 }.
% 51.45/51.86 (20951) {G6,W6,D3,L1,V2,M1} R(20236,1190) { ! alpha2( skol49, skol46, skol6
% 51.45/51.86 ( X, Y ) ) }.
% 51.45/51.86 (36544) {G6,W6,D4,L1,V2,M1} R(16055,1190) { ssList( app( skol6( X, Y ),
% 51.45/51.86 skol46 ) ) }.
% 51.45/51.86 (49998) {G7,W13,D5,L1,V2,M1} R(36544,262) { app( app( skol6( X, Y ), skol46
% 51.45/51.86 ), nil ) ==> app( skol6( X, Y ), skol46 ) }.
% 51.45/51.86 (122026) {G8,W7,D4,L1,V2,M1} R(890,20951);d(49998) { ! app( skol6( X, Y ),
% 51.45/51.86 skol46 ) ==> skol49 }.
% 51.45/51.86 (142174) {G9,W0,D0,L0,V0,M0} S(20246);r(122026) { }.
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 % SZS output end Refutation
% 51.45/51.86 found a proof!
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Unprocessed initial clauses:
% 51.45/51.86
% 51.45/51.86 (142176) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y
% 51.45/51.86 ), ! X = Y }.
% 51.45/51.86 (142177) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142178) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 51.45/51.86 (142179) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 51.45/51.86 (142180) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 51.45/51.86 (142181) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 51.45/51.86 , Y ), ssList( skol2( Z, T ) ) }.
% 51.45/51.86 (142182) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 51.45/51.86 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 51.45/51.86 (142183) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z
% 51.45/51.86 ), ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 51.45/51.86 (142184) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 51.45/51.86 ) ) }.
% 51.45/51.86 (142185) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y,
% 51.45/51.86 skol3( X, Y, Z ) ) ) = X }.
% 51.45/51.86 (142186) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) =
% 51.45/51.86 X, alpha1( X, Y, Z ) }.
% 51.45/51.86 (142187) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 51.45/51.86 skol4( Y ) ) }.
% 51.45/51.86 (142188) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 51.45/51.86 skol4( X ), nil ) = X }.
% 51.45/51.86 (142189) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 51.45/51.86 nil ) = X, singletonP( X ) }.
% 51.45/51.86 (142190) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP
% 51.45/51.86 ( X, Y ), ssList( skol5( Z, T ) ) }.
% 51.45/51.86 (142191) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP
% 51.45/51.86 ( X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 51.45/51.86 (142192) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 51.45/51.86 (142193) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP(
% 51.45/51.86 X, Y ), ssList( skol6( Z, T ) ) }.
% 51.45/51.86 (142194) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP(
% 51.45/51.86 X, Y ), app( skol6( X, Y ), Y ) = X }.
% 51.45/51.86 (142195) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 51.45/51.86 (142196) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP(
% 51.45/51.86 X, Y ), ssList( skol7( Z, T ) ) }.
% 51.45/51.86 (142197) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP(
% 51.45/51.86 X, Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 51.45/51.86 (142198) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 51.45/51.86 (142199) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 51.45/51.86 ) ) }.
% 51.45/51.86 (142200) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 51.45/51.86 skol8( X, Y, Z ) ) = X }.
% 51.45/51.86 (142201) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 51.45/51.86 , alpha2( X, Y, Z ) }.
% 51.45/51.86 (142202) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem
% 51.45/51.86 ( Y ), alpha3( X, Y ) }.
% 51.45/51.86 (142203) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 51.45/51.86 cyclefreeP( X ) }.
% 51.45/51.86 (142204) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 51.45/51.86 cyclefreeP( X ) }.
% 51.45/51.86 (142205) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 51.45/51.86 , Y, Z ) }.
% 51.45/51.86 (142206) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142207) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142208) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 51.45/51.86 alpha28( X, Y, Z, T ) }.
% 51.45/51.86 (142209) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y
% 51.45/51.86 , Z ) }.
% 51.45/51.86 (142210) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 51.45/51.86 alpha21( X, Y, Z ) }.
% 51.45/51.86 (142211) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 51.45/51.86 alpha35( X, Y, Z, T, U ) }.
% 51.45/51.86 (142212) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28
% 51.45/51.86 ( X, Y, Z, T ) }.
% 51.45/51.86 (142213) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T
% 51.45/51.86 ) ), alpha28( X, Y, Z, T ) }.
% 51.45/51.86 (142214) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W )
% 51.45/51.86 , alpha41( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142215) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 51.45/51.86 alpha35( X, Y, Z, T, U ) }.
% 51.45/51.86 (142216) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z
% 51.45/51.86 , T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 51.45/51.86 (142217) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app
% 51.45/51.86 ( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 51.45/51.86 (142218) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W )
% 51.45/51.86 ) = X, alpha41( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142219) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U
% 51.45/51.86 , W ) }.
% 51.45/51.86 (142220) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y
% 51.45/51.86 , X ) }.
% 51.45/51.86 (142221) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 51.45/51.86 (142222) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 51.45/51.86 (142223) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 51.45/51.86 ( Y ), alpha4( X, Y ) }.
% 51.45/51.86 (142224) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 51.45/51.86 totalorderP( X ) }.
% 51.45/51.86 (142225) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 51.45/51.86 totalorderP( X ) }.
% 51.45/51.86 (142226) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 51.45/51.86 , Y, Z ) }.
% 51.45/51.86 (142227) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142228) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142229) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 51.45/51.86 alpha29( X, Y, Z, T ) }.
% 51.45/51.86 (142230) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y
% 51.45/51.86 , Z ) }.
% 51.45/51.86 (142231) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 51.45/51.86 alpha22( X, Y, Z ) }.
% 51.45/51.86 (142232) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 51.45/51.86 alpha36( X, Y, Z, T, U ) }.
% 51.45/51.86 (142233) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29
% 51.45/51.86 ( X, Y, Z, T ) }.
% 51.45/51.86 (142234) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T
% 51.45/51.86 ) ), alpha29( X, Y, Z, T ) }.
% 51.45/51.86 (142235) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W )
% 51.45/51.86 , alpha42( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142236) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 51.45/51.86 alpha36( X, Y, Z, T, U ) }.
% 51.45/51.86 (142237) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z
% 51.45/51.86 , T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 51.45/51.86 (142238) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app
% 51.45/51.86 ( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 51.45/51.86 (142239) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W )
% 51.45/51.86 ) = X, alpha42( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142240) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U
% 51.45/51.86 , W ) }.
% 51.45/51.86 (142241) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 51.45/51.86 }.
% 51.45/51.86 (142242) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 51.45/51.86 (142243) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 51.45/51.86 (142244) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), !
% 51.45/51.86 ssItem( Y ), alpha5( X, Y ) }.
% 51.45/51.86 (142245) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 51.45/51.86 strictorderP( X ) }.
% 51.45/51.86 (142246) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 51.45/51.86 strictorderP( X ) }.
% 51.45/51.86 (142247) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 51.45/51.86 , Y, Z ) }.
% 51.45/51.86 (142248) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142249) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142250) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 51.45/51.86 alpha30( X, Y, Z, T ) }.
% 51.45/51.86 (142251) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y
% 51.45/51.86 , Z ) }.
% 51.45/51.86 (142252) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 51.45/51.86 alpha23( X, Y, Z ) }.
% 51.45/51.86 (142253) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 51.45/51.86 alpha37( X, Y, Z, T, U ) }.
% 51.45/51.86 (142254) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30
% 51.45/51.86 ( X, Y, Z, T ) }.
% 51.45/51.86 (142255) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T
% 51.45/51.86 ) ), alpha30( X, Y, Z, T ) }.
% 51.45/51.86 (142256) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W )
% 51.45/51.86 , alpha43( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142257) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 51.45/51.86 alpha37( X, Y, Z, T, U ) }.
% 51.45/51.86 (142258) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z
% 51.45/51.86 , T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 51.45/51.86 (142259) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app
% 51.45/51.86 ( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 51.45/51.86 (142260) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W )
% 51.45/51.86 ) = X, alpha43( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142261) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U
% 51.45/51.86 , W ) }.
% 51.45/51.86 (142262) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 51.45/51.86 }.
% 51.45/51.86 (142263) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 51.45/51.86 (142264) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 51.45/51.86 (142265) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 51.45/51.86 ssItem( Y ), alpha6( X, Y ) }.
% 51.45/51.86 (142266) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 51.45/51.86 totalorderedP( X ) }.
% 51.45/51.86 (142267) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 51.45/51.86 totalorderedP( X ) }.
% 51.45/51.86 (142268) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 51.45/51.86 , Y, Z ) }.
% 51.45/51.86 (142269) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142270) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142271) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 51.45/51.86 alpha24( X, Y, Z, T ) }.
% 51.45/51.86 (142272) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y
% 51.45/51.86 , Z ) }.
% 51.45/51.86 (142273) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 51.45/51.86 alpha15( X, Y, Z ) }.
% 51.45/51.86 (142274) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 51.45/51.86 alpha31( X, Y, Z, T, U ) }.
% 51.45/51.86 (142275) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24
% 51.45/51.86 ( X, Y, Z, T ) }.
% 51.45/51.86 (142276) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T
% 51.45/51.86 ) ), alpha24( X, Y, Z, T ) }.
% 51.45/51.86 (142277) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W )
% 51.45/51.86 , alpha38( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142278) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 51.45/51.86 alpha31( X, Y, Z, T, U ) }.
% 51.45/51.86 (142279) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z
% 51.45/51.86 , T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 51.45/51.86 (142280) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app
% 51.45/51.86 ( T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 51.45/51.86 (142281) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W )
% 51.45/51.86 ) = X, alpha38( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142282) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 51.45/51.86 }.
% 51.45/51.86 (142283) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 51.45/51.86 ssItem( Y ), alpha7( X, Y ) }.
% 51.45/51.86 (142284) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 51.45/51.86 strictorderedP( X ) }.
% 51.45/51.86 (142285) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 51.45/51.86 strictorderedP( X ) }.
% 51.45/51.86 (142286) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 51.45/51.86 , Y, Z ) }.
% 51.45/51.86 (142287) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142288) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142289) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 51.45/51.86 alpha25( X, Y, Z, T ) }.
% 51.45/51.86 (142290) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y
% 51.45/51.86 , Z ) }.
% 51.45/51.86 (142291) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 51.45/51.86 alpha16( X, Y, Z ) }.
% 51.45/51.86 (142292) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 51.45/51.86 alpha32( X, Y, Z, T, U ) }.
% 51.45/51.86 (142293) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25
% 51.45/51.86 ( X, Y, Z, T ) }.
% 51.45/51.86 (142294) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T
% 51.45/51.86 ) ), alpha25( X, Y, Z, T ) }.
% 51.45/51.86 (142295) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W )
% 51.45/51.86 , alpha39( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142296) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 51.45/51.86 alpha32( X, Y, Z, T, U ) }.
% 51.45/51.86 (142297) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z
% 51.45/51.86 , T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 51.45/51.86 (142298) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app
% 51.45/51.86 ( T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 51.45/51.86 (142299) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W )
% 51.45/51.86 ) = X, alpha39( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142300) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 51.45/51.86 }.
% 51.45/51.86 (142301) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 51.45/51.86 ssItem( Y ), alpha8( X, Y ) }.
% 51.45/51.86 (142302) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 51.45/51.86 duplicatefreeP( X ) }.
% 51.45/51.86 (142303) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 51.45/51.86 duplicatefreeP( X ) }.
% 51.45/51.86 (142304) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 51.45/51.86 , Y, Z ) }.
% 51.45/51.86 (142305) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142306) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142307) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 51.45/51.86 alpha26( X, Y, Z, T ) }.
% 51.45/51.86 (142308) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y
% 51.45/51.86 , Z ) }.
% 51.45/51.86 (142309) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 51.45/51.86 alpha17( X, Y, Z ) }.
% 51.45/51.86 (142310) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 51.45/51.86 alpha33( X, Y, Z, T, U ) }.
% 51.45/51.86 (142311) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26
% 51.45/51.86 ( X, Y, Z, T ) }.
% 51.45/51.86 (142312) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T
% 51.45/51.86 ) ), alpha26( X, Y, Z, T ) }.
% 51.45/51.86 (142313) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W )
% 51.45/51.86 , alpha40( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142314) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 51.45/51.86 alpha33( X, Y, Z, T, U ) }.
% 51.45/51.86 (142315) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z
% 51.45/51.86 , T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 51.45/51.86 (142316) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app
% 51.45/51.86 ( T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 51.45/51.86 (142317) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W )
% 51.45/51.86 ) = X, alpha40( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142318) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 51.45/51.86 (142319) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 51.45/51.86 ( Y ), alpha9( X, Y ) }.
% 51.45/51.86 (142320) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 51.45/51.86 equalelemsP( X ) }.
% 51.45/51.86 (142321) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 51.45/51.86 equalelemsP( X ) }.
% 51.45/51.86 (142322) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 51.45/51.86 , Y, Z ) }.
% 51.45/51.86 (142323) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142324) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142325) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 51.45/51.86 alpha27( X, Y, Z, T ) }.
% 51.45/51.86 (142326) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y
% 51.45/51.86 , Z ) }.
% 51.45/51.86 (142327) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 51.45/51.86 alpha18( X, Y, Z ) }.
% 51.45/51.86 (142328) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 51.45/51.86 alpha34( X, Y, Z, T, U ) }.
% 51.45/51.86 (142329) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27
% 51.45/51.86 ( X, Y, Z, T ) }.
% 51.45/51.86 (142330) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T
% 51.45/51.86 ) ), alpha27( X, Y, Z, T ) }.
% 51.45/51.86 (142331) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 51.45/51.86 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 51.45/51.86 (142332) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 51.45/51.86 alpha34( X, Y, Z, T, U ) }.
% 51.45/51.86 (142333) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 51.45/51.86 (142334) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y
% 51.45/51.86 ), ! X = Y }.
% 51.45/51.86 (142335) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq(
% 51.45/51.86 X, Y ) }.
% 51.45/51.86 (142336) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons
% 51.45/51.86 ( Y, X ) ) }.
% 51.45/51.86 (142337) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 51.45/51.86 (142338) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X
% 51.45/51.86 ) = X }.
% 51.45/51.86 (142339) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z
% 51.45/51.86 ), ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 51.45/51.86 (142340) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z
% 51.45/51.86 ), ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 51.45/51.86 (142341) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 51.45/51.86 ) }.
% 51.45/51.86 (142342) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 51.45/51.86 ) }.
% 51.45/51.86 (142343) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X )
% 51.45/51.86 , skol43( X ) ) = X }.
% 51.45/51.86 (142344) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons
% 51.45/51.86 ( Y, X ) }.
% 51.45/51.86 (142345) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 51.45/51.86 }.
% 51.45/51.86 (142346) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y
% 51.45/51.86 , X ) ) = Y }.
% 51.45/51.86 (142347) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 51.45/51.86 }.
% 51.45/51.86 (142348) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y
% 51.45/51.86 , X ) ) = X }.
% 51.45/51.86 (142349) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app(
% 51.45/51.86 X, Y ) ) }.
% 51.45/51.86 (142350) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z
% 51.45/51.86 ), cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 51.45/51.86 (142351) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 51.45/51.86 (142352) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y
% 51.45/51.86 ), ! leq( Y, X ), X = Y }.
% 51.45/51.86 (142353) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z
% 51.45/51.86 ), ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 51.45/51.86 (142354) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 51.45/51.86 (142355) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y
% 51.45/51.86 ), leq( Y, X ) }.
% 51.45/51.86 (142356) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X
% 51.45/51.86 ), geq( X, Y ) }.
% 51.45/51.86 (142357) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 51.45/51.86 , ! lt( Y, X ) }.
% 51.45/51.86 (142358) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z
% 51.45/51.86 ), ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 51.45/51.86 (142359) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 51.45/51.86 , lt( Y, X ) }.
% 51.45/51.86 (142360) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 51.45/51.86 , gt( X, Y ) }.
% 51.45/51.86 (142361) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 51.45/51.86 (142362) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 51.45/51.86 (142363) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 51.45/51.86 (142364) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z
% 51.45/51.86 ), ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 51.45/51.86 (142365) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z
% 51.45/51.86 ), ! X = Y, memberP( cons( Y, Z ), X ) }.
% 51.45/51.86 (142366) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z
% 51.45/51.86 ), ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 51.45/51.86 (142367) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 51.45/51.86 (142368) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 51.45/51.86 (142369) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 51.45/51.86 (142370) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP
% 51.45/51.86 ( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 51.45/51.86 (142371) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 51.45/51.86 (142372) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 51.45/51.86 (142373) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z
% 51.45/51.86 ), ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 51.45/51.86 (142374) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z
% 51.45/51.86 ), ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP(
% 51.45/51.86 Z, T ) }.
% 51.45/51.86 (142375) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z
% 51.45/51.86 ), ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z )
% 51.45/51.86 , cons( Y, T ) ) }.
% 51.45/51.86 (142376) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 51.45/51.86 (142377) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 51.45/51.86 X }.
% 51.45/51.86 (142378) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 51.45/51.86 ) }.
% 51.45/51.86 (142379) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 51.45/51.86 (142380) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP(
% 51.45/51.86 X, Y ), ! rearsegP( Y, X ), X = Y }.
% 51.45/51.86 (142381) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 51.45/51.86 (142382) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 51.45/51.86 (142383) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 51.45/51.86 (142384) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil =
% 51.45/51.86 X }.
% 51.45/51.86 (142385) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X
% 51.45/51.86 ) }.
% 51.45/51.86 (142386) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 51.45/51.86 (142387) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP(
% 51.45/51.86 X, Y ), ! segmentP( Y, X ), X = Y }.
% 51.45/51.86 (142388) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 51.45/51.86 (142389) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y
% 51.45/51.86 ) }.
% 51.45/51.86 (142390) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 51.45/51.86 (142391) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil =
% 51.45/51.86 X }.
% 51.45/51.86 (142392) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X
% 51.45/51.86 ) }.
% 51.45/51.86 (142393) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 51.45/51.86 }.
% 51.45/51.86 (142394) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 51.45/51.86 (142395) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil )
% 51.45/51.86 ) }.
% 51.45/51.86 (142396) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 51.45/51.86 (142397) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 51.45/51.86 ) }.
% 51.45/51.86 (142398) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 51.45/51.86 (142399) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil
% 51.45/51.86 ) ) }.
% 51.45/51.86 (142400) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 51.45/51.86 (142401) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 51.45/51.86 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 51.45/51.86 (142402) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 51.45/51.86 totalorderedP( cons( X, Y ) ) }.
% 51.45/51.86 (142403) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 51.45/51.86 , Y ), totalorderedP( cons( X, Y ) ) }.
% 51.45/51.86 (142404) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 51.45/51.86 (142405) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 51.45/51.86 (142406) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142407) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 51.45/51.86 (142408) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 51.45/51.86 (142409) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 51.45/51.86 alpha19( X, Y ) }.
% 51.45/51.86 (142410) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 51.45/51.86 ) ) }.
% 51.45/51.86 (142411) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 51.45/51.86 (142412) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 51.45/51.86 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 51.45/51.86 (142413) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 51.45/51.86 strictorderedP( cons( X, Y ) ) }.
% 51.45/51.86 (142414) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 51.45/51.86 , Y ), strictorderedP( cons( X, Y ) ) }.
% 51.45/51.86 (142415) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 51.45/51.86 (142416) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 51.45/51.86 (142417) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 51.45/51.86 }.
% 51.45/51.86 (142418) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 51.45/51.86 (142419) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 51.45/51.86 (142420) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 51.45/51.86 alpha20( X, Y ) }.
% 51.45/51.86 (142421) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 51.45/51.86 ) ) }.
% 51.45/51.86 (142422) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 51.45/51.86 (142423) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil )
% 51.45/51.86 ) }.
% 51.45/51.86 (142424) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 51.45/51.86 (142425) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 51.45/51.86 ) }.
% 51.45/51.86 (142426) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44(
% 51.45/51.86 X ) }.
% 51.45/51.86 (142427) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 51.45/51.86 ) }.
% 51.45/51.86 (142428) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45(
% 51.45/51.86 X ) }.
% 51.45/51.86 (142429) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 51.45/51.86 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 51.45/51.86 (142430) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl
% 51.45/51.86 ( X ) ) = X }.
% 51.45/51.86 (142431) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! app( Z, Y ) = app( X, Y ), Z = X }.
% 51.45/51.86 (142432) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), ! app( Y, Z ) = app( Y, X ), Z = X }.
% 51.45/51.86 (142433) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 51.45/51.86 = app( cons( Y, nil ), X ) }.
% 51.45/51.86 (142434) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z
% 51.45/51.86 ), app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 51.45/51.86 (142435) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app
% 51.45/51.86 ( X, Y ), nil = Y }.
% 51.45/51.86 (142436) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app
% 51.45/51.86 ( X, Y ), nil = X }.
% 51.45/51.86 (142437) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 51.45/51.86 nil = X, nil = app( X, Y ) }.
% 51.45/51.86 (142438) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 51.45/51.86 (142439) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd
% 51.45/51.86 ( app( X, Y ) ) = hd( X ) }.
% 51.45/51.86 (142440) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl
% 51.45/51.86 ( app( X, Y ) ) = app( tl( X ), Y ) }.
% 51.45/51.86 (142441) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y
% 51.45/51.86 ), ! geq( Y, X ), X = Y }.
% 51.45/51.86 (142442) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z
% 51.45/51.86 ), ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 51.45/51.86 (142443) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 51.45/51.86 (142444) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 51.45/51.86 (142445) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z
% 51.45/51.86 ), ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 51.45/51.86 (142446) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y
% 51.45/51.86 ), X = Y, lt( X, Y ) }.
% 51.45/51.86 (142447) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 51.45/51.86 , ! X = Y }.
% 51.45/51.86 (142448) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 51.45/51.86 , leq( X, Y ) }.
% 51.45/51.86 (142449) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 51.45/51.86 ( X, Y ), lt( X, Y ) }.
% 51.45/51.86 (142450) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 51.45/51.86 , ! gt( Y, X ) }.
% 51.45/51.86 (142451) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z
% 51.45/51.86 ), ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 51.45/51.86 (142452) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 51.45/51.86 (142453) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 51.45/51.86 (142454) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 51.45/51.86 (142455) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 51.45/51.86 (142456) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 51.45/51.86 (142457) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 51.45/51.86 (142458) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 51.45/51.86 (142459) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 51.45/51.86 (142460) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! segmentP( skol49,
% 51.45/51.86 skol46 ) }.
% 51.45/51.86 (142461) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq( skol50, nil )
% 51.45/51.86 }.
% 51.45/51.86 (142462) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), rearsegP( skol51,
% 51.45/51.86 skol50 ) }.
% 51.45/51.86
% 51.45/51.86
% 51.45/51.86 Total Proof:
% 51.45/51.86
% 51.45/51.86 subsumption: (17) {G0,W11,D3,L4,V4,M4} I { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 rearsegP( X, Y ), ssList( skol6( Z, T ) ) }.
% 51.45/51.86 parent0: (142193) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 rearsegP( X, Y ), ssList( skol6( Z, T ) ) }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 Y := Y
% 51.45/51.86 Z := Z
% 51.45/51.86 T := T
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 2 ==> 2
% 51.45/51.86 3 ==> 3
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (18) {G0,W14,D4,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 rearsegP( X, Y ), app( skol6( X, Y ), Y ) ==> X }.
% 51.45/51.86 parent0: (142194) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 rearsegP( X, Y ), app( skol6( X, Y ), Y ) = X }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 Y := Y
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 2 ==> 2
% 51.45/51.86 3 ==> 3
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (20) {G0,W11,D3,L4,V4,M4} I { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 segmentP( X, Y ), ssList( skol7( Z, T ) ) }.
% 51.45/51.86 parent0: (142196) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 segmentP( X, Y ), ssList( skol7( Z, T ) ) }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 Y := Y
% 51.45/51.86 Z := Z
% 51.45/51.86 T := T
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 2 ==> 2
% 51.45/51.86 3 ==> 3
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (21) {G0,W13,D3,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 segmentP( X, Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 51.45/51.86 parent0: (142197) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 segmentP( X, Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 Y := Y
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 2 ==> 2
% 51.45/51.86 3 ==> 3
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 51.45/51.86 parent0: (142198) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.86 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 Y := Y
% 51.45/51.86 Z := Z
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 2 ==> 2
% 51.45/51.86 3 ==> 3
% 51.45/51.86 4 ==> 4
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (23) {G0,W9,D3,L2,V6,M2} I { ! alpha2( X, Y, Z ), ssList(
% 51.45/51.86 skol8( T, U, W ) ) }.
% 51.45/51.86 parent0: (142199) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8
% 51.45/51.86 ( T, U, W ) ) }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 Y := Y
% 51.45/51.86 Z := Z
% 51.45/51.86 T := T
% 51.45/51.86 U := U
% 51.45/51.86 W := W
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 51.45/51.86 ), T ) = X, alpha2( X, Y, Z ) }.
% 51.45/51.86 parent0: (142201) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 51.45/51.86 , T ) = X, alpha2( X, Y, Z ) }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 Y := Y
% 51.45/51.86 Z := Z
% 51.45/51.86 T := T
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 2 ==> 2
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 51.45/51.86 parent0: (142337) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 51.45/51.86 substitution0:
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (173) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssList( Y ),
% 51.45/51.86 ssList( app( X, Y ) ) }.
% 51.45/51.86 parent0: (142349) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ),
% 51.45/51.86 ssList( app( X, Y ) ) }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 Y := Y
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 2 ==> 2
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X )
% 51.45/51.86 }.
% 51.45/51.86 parent0: (142381) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X )
% 51.45/51.86 }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 51.45/51.86 }.
% 51.45/51.86 parent0: (142388) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X )
% 51.45/51.86 }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.86 end
% 51.45/51.86
% 51.45/51.86 subsumption: (262) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( X, nil ) ==>
% 51.45/51.86 X }.
% 51.45/51.86 parent0: (142438) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X
% 51.45/51.86 }.
% 51.45/51.86 substitution0:
% 51.45/51.86 X := X
% 51.45/51.86 end
% 51.45/51.86 permutation0:
% 51.45/51.86 0 ==> 0
% 51.45/51.86 1 ==> 1
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 51.45/51.88 parent0: (142452) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 51.45/51.88 parent0: (142453) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (144569) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 51.45/51.88 parent0[0]: (142456) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 51.45/51.88 parent0: (144569) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (144917) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 51.45/51.88 parent0[0]: (142457) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 51.45/51.88 parent0: (144917) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 51.45/51.88 parent0: (142458) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (283) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! segmentP
% 51.45/51.88 ( skol49, skol46 ) }.
% 51.45/51.88 parent0: (142460) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! segmentP(
% 51.45/51.88 skol49, skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 1 ==> 1
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 paramod: (146558) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), neq( skol50
% 51.45/51.88 , nil ) }.
% 51.45/51.88 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 51.45/51.88 parent1[0; 2]: (142461) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq(
% 51.45/51.88 skol50, nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 paramod: (146559) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), ! neq( skol49
% 51.45/51.88 , nil ) }.
% 51.45/51.88 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 51.45/51.88 parent1[1; 1]: (146558) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), neq(
% 51.45/51.88 skol50, nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (146560) {G1,W3,D2,L1,V0,M1} { neq( skol46, nil ) }.
% 51.45/51.88 parent0[1]: (146559) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), ! neq(
% 51.45/51.88 skol49, nil ) }.
% 51.45/51.88 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46
% 51.45/51.88 , nil ) }.
% 51.45/51.88 parent0: (146560) {G1,W3,D2,L1,V0,M1} { neq( skol46, nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 paramod: (147789) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol50 ), ! neq
% 51.45/51.88 ( skol51, nil ) }.
% 51.45/51.88 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 51.45/51.88 parent1[1; 1]: (142462) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ),
% 51.45/51.88 rearsegP( skol51, skol50 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 paramod: (147791) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), rearsegP(
% 51.45/51.88 skol49, skol50 ) }.
% 51.45/51.88 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 51.45/51.88 parent1[1; 2]: (147789) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol50 ),
% 51.45/51.88 ! neq( skol51, nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 paramod: (147792) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ), ! neq
% 51.45/51.88 ( skol49, nil ) }.
% 51.45/51.88 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 51.45/51.88 parent1[1; 2]: (147791) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ),
% 51.45/51.88 rearsegP( skol49, skol50 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147793) {G1,W3,D2,L1,V0,M1} { rearsegP( skol49, skol46 ) }.
% 51.45/51.88 parent0[1]: (147792) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ), !
% 51.45/51.88 neq( skol49, nil ) }.
% 51.45/51.88 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) {
% 51.45/51.88 rearsegP( skol49, skol46 ) }.
% 51.45/51.88 parent0: (147793) {G1,W3,D2,L1,V0,M1} { rearsegP( skol49, skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 factor: (147794) {G0,W9,D3,L3,V3,M3} { ! ssList( X ), ! rearsegP( X, X ),
% 51.45/51.88 ssList( skol6( Y, Z ) ) }.
% 51.45/51.88 parent0[0, 1]: (17) {G0,W11,D3,L4,V4,M4} I { ! ssList( X ), ! ssList( Y ),
% 51.45/51.88 ! rearsegP( X, Y ), ssList( skol6( Z, T ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := X
% 51.45/51.88 Z := Y
% 51.45/51.88 T := Z
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147795) {G1,W8,D3,L3,V3,M3} { ! ssList( X ), ssList( skol6( Y
% 51.45/51.88 , Z ) ), ! ssList( X ) }.
% 51.45/51.88 parent0[1]: (147794) {G0,W9,D3,L3,V3,M3} { ! ssList( X ), ! rearsegP( X, X
% 51.45/51.88 ), ssList( skol6( Y, Z ) ) }.
% 51.45/51.88 parent1[1]: (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X )
% 51.45/51.88 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := X
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 factor: (147796) {G1,W6,D3,L2,V3,M2} { ! ssList( X ), ssList( skol6( Y, Z
% 51.45/51.88 ) ) }.
% 51.45/51.88 parent0[0, 2]: (147795) {G1,W8,D3,L3,V3,M3} { ! ssList( X ), ssList( skol6
% 51.45/51.88 ( Y, Z ) ), ! ssList( X ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (296) {G1,W6,D3,L2,V3,M2} F(17);r(205) { ! ssList( X ), ssList
% 51.45/51.88 ( skol6( Y, Z ) ) }.
% 51.45/51.88 parent0: (147796) {G1,W6,D3,L2,V3,M2} { ! ssList( X ), ssList( skol6( Y, Z
% 51.45/51.88 ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 1 ==> 1
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 factor: (147797) {G0,W9,D3,L3,V3,M3} { ! ssList( X ), ! segmentP( X, X ),
% 51.45/51.88 ssList( skol7( Y, Z ) ) }.
% 51.45/51.88 parent0[0, 1]: (20) {G0,W11,D3,L4,V4,M4} I { ! ssList( X ), ! ssList( Y ),
% 51.45/51.88 ! segmentP( X, Y ), ssList( skol7( Z, T ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := X
% 51.45/51.88 Z := Y
% 51.45/51.88 T := Z
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147798) {G1,W8,D3,L3,V3,M3} { ! ssList( X ), ssList( skol7( Y
% 51.45/51.88 , Z ) ), ! ssList( X ) }.
% 51.45/51.88 parent0[1]: (147797) {G0,W9,D3,L3,V3,M3} { ! ssList( X ), ! segmentP( X, X
% 51.45/51.88 ), ssList( skol7( Y, Z ) ) }.
% 51.45/51.88 parent1[1]: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 51.45/51.88 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := X
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 factor: (147799) {G1,W6,D3,L2,V3,M2} { ! ssList( X ), ssList( skol7( Y, Z
% 51.45/51.88 ) ) }.
% 51.45/51.88 parent0[0, 2]: (147798) {G1,W8,D3,L3,V3,M3} { ! ssList( X ), ssList( skol7
% 51.45/51.88 ( Y, Z ) ), ! ssList( X ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (302) {G1,W6,D3,L2,V3,M2} F(20);r(212) { ! ssList( X ), ssList
% 51.45/51.88 ( skol7( Y, Z ) ) }.
% 51.45/51.88 parent0: (147799) {G1,W6,D3,L2,V3,M2} { ! ssList( X ), ssList( skol7( Y, Z
% 51.45/51.88 ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 1 ==> 1
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147800) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol49 ) }.
% 51.45/51.88 parent0[0]: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 51.45/51.88 }.
% 51.45/51.88 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol49
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (490) {G1,W3,D2,L1,V0,M1} R(212,276) { segmentP( skol49,
% 51.45/51.88 skol49 ) }.
% 51.45/51.88 parent0: (147800) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol49 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (147801) {G0,W14,D4,L4,V2,M4} { X ==> app( skol6( X, Y ), Y ), !
% 51.45/51.88 ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ) }.
% 51.45/51.88 parent0[3]: (18) {G0,W14,D4,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.88 rearsegP( X, Y ), app( skol6( X, Y ), Y ) ==> X }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147802) {G1,W11,D4,L3,V0,M3} { skol49 ==> app( skol6( skol49
% 51.45/51.88 , skol46 ), skol46 ), ! ssList( skol49 ), ! ssList( skol46 ) }.
% 51.45/51.88 parent0[3]: (147801) {G0,W14,D4,L4,V2,M4} { X ==> app( skol6( X, Y ), Y )
% 51.45/51.88 , ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ) }.
% 51.45/51.88 parent1[0]: (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) {
% 51.45/51.88 rearsegP( skol49, skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol49
% 51.45/51.88 Y := skol46
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147803) {G1,W9,D4,L2,V0,M2} { skol49 ==> app( skol6( skol49,
% 51.45/51.88 skol46 ), skol46 ), ! ssList( skol46 ) }.
% 51.45/51.88 parent0[1]: (147802) {G1,W11,D4,L3,V0,M3} { skol49 ==> app( skol6( skol49
% 51.45/51.88 , skol46 ), skol46 ), ! ssList( skol49 ), ! ssList( skol46 ) }.
% 51.45/51.88 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (147804) {G1,W9,D4,L2,V0,M2} { app( skol6( skol49, skol46 ),
% 51.45/51.88 skol46 ) ==> skol49, ! ssList( skol46 ) }.
% 51.45/51.88 parent0[0]: (147803) {G1,W9,D4,L2,V0,M2} { skol49 ==> app( skol6( skol49,
% 51.45/51.88 skol46 ), skol46 ), ! ssList( skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (721) {G2,W9,D4,L2,V0,M2} R(18,285);r(276) { ! ssList( skol46
% 51.45/51.88 ), app( skol6( skol49, skol46 ), skol46 ) ==> skol49 }.
% 51.45/51.88 parent0: (147804) {G1,W9,D4,L2,V0,M2} { app( skol6( skol49, skol46 ),
% 51.45/51.88 skol46 ) ==> skol49, ! ssList( skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 1
% 51.45/51.88 1 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147805) {G1,W10,D3,L3,V0,M3} { ! ssList( skol49 ), ! ssList(
% 51.45/51.88 skol49 ), alpha2( skol49, skol49, skol7( skol49, skol49 ) ) }.
% 51.45/51.88 parent0[2]: (21) {G0,W13,D3,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.88 segmentP( X, Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 51.45/51.88 parent1[0]: (490) {G1,W3,D2,L1,V0,M1} R(212,276) { segmentP( skol49, skol49
% 51.45/51.88 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol49
% 51.45/51.88 Y := skol49
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 factor: (147806) {G1,W8,D3,L2,V0,M2} { ! ssList( skol49 ), alpha2( skol49
% 51.45/51.88 , skol49, skol7( skol49, skol49 ) ) }.
% 51.45/51.88 parent0[0, 1]: (147805) {G1,W10,D3,L3,V0,M3} { ! ssList( skol49 ), !
% 51.45/51.88 ssList( skol49 ), alpha2( skol49, skol49, skol7( skol49, skol49 ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147808) {G1,W6,D3,L1,V0,M1} { alpha2( skol49, skol49, skol7(
% 51.45/51.88 skol49, skol49 ) ) }.
% 51.45/51.88 parent0[0]: (147806) {G1,W8,D3,L2,V0,M2} { ! ssList( skol49 ), alpha2(
% 51.45/51.88 skol49, skol49, skol7( skol49, skol49 ) ) }.
% 51.45/51.88 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (780) {G2,W6,D3,L1,V0,M1} R(21,490);f;r(276) { alpha2( skol49
% 51.45/51.88 , skol49, skol7( skol49, skol49 ) ) }.
% 51.45/51.88 parent0: (147808) {G1,W6,D3,L1,V0,M1} { alpha2( skol49, skol49, skol7(
% 51.45/51.88 skol49, skol49 ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147809) {G1,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 )
% 51.45/51.88 }.
% 51.45/51.88 parent0[0]: (283) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! segmentP
% 51.45/51.88 ( skol49, skol46 ) }.
% 51.45/51.88 parent1[0]: (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46
% 51.45/51.88 , nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (877) {G2,W3,D2,L1,V0,M1} S(283);r(284) { ! segmentP( skol49,
% 51.45/51.88 skol46 ) }.
% 51.45/51.88 parent0: (147809) {G1,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147810) {G1,W10,D2,L4,V1,M4} { ! ssList( skol49 ), ! ssList(
% 51.45/51.88 skol46 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 51.45/51.88 parent0[0]: (877) {G2,W3,D2,L1,V0,M1} S(283);r(284) { ! segmentP( skol49,
% 51.45/51.88 skol46 ) }.
% 51.45/51.88 parent1[4]: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 51.45/51.88 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := skol49
% 51.45/51.88 Y := skol46
% 51.45/51.88 Z := X
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147815) {G1,W8,D2,L3,V1,M3} { ! ssList( skol46 ), ! ssList( X
% 51.45/51.88 ), ! alpha2( skol49, skol46, X ) }.
% 51.45/51.88 parent0[0]: (147810) {G1,W10,D2,L4,V1,M4} { ! ssList( skol49 ), ! ssList(
% 51.45/51.88 skol46 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 51.45/51.88 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (878) {G3,W8,D2,L3,V1,M3} R(877,22);r(276) { ! ssList( skol46
% 51.45/51.88 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 51.45/51.88 parent0: (147815) {G1,W8,D2,L3,V1,M3} { ! ssList( skol46 ), ! ssList( X )
% 51.45/51.88 , ! alpha2( skol49, skol46, X ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 1 ==> 1
% 51.45/51.88 2 ==> 2
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (147817) {G0,W13,D4,L3,V4,M3} { ! T = app( app( X, Y ), Z ), !
% 51.45/51.88 ssList( Z ), alpha2( T, Y, X ) }.
% 51.45/51.88 parent0[1]: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y )
% 51.45/51.88 , T ) = X, alpha2( X, Y, Z ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := T
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := X
% 51.45/51.88 T := Z
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147818) {G1,W11,D4,L2,V3,M2} { ! X = app( app( Y, Z ), nil )
% 51.45/51.88 , alpha2( X, Z, Y ) }.
% 51.45/51.88 parent0[1]: (147817) {G0,W13,D4,L3,V4,M3} { ! T = app( app( X, Y ), Z ), !
% 51.45/51.88 ssList( Z ), alpha2( T, Y, X ) }.
% 51.45/51.88 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := Y
% 51.45/51.88 Y := Z
% 51.45/51.88 Z := nil
% 51.45/51.88 T := X
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (147819) {G1,W11,D4,L2,V3,M2} { ! app( app( Y, Z ), nil ) = X,
% 51.45/51.88 alpha2( X, Z, Y ) }.
% 51.45/51.88 parent0[0]: (147818) {G1,W11,D4,L2,V3,M2} { ! X = app( app( Y, Z ), nil )
% 51.45/51.88 , alpha2( X, Z, Y ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (890) {G1,W11,D4,L2,V3,M2} R(25,161) { ! app( app( X, Y ), nil
% 51.45/51.88 ) = Z, alpha2( Z, Y, X ) }.
% 51.45/51.88 parent0: (147819) {G1,W11,D4,L2,V3,M2} { ! app( app( Y, Z ), nil ) = X,
% 51.45/51.88 alpha2( X, Z, Y ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := Z
% 51.45/51.88 Y := X
% 51.45/51.88 Z := Y
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 1 ==> 1
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147820) {G1,W5,D3,L1,V3,M1} { ssList( skol8( X, Y, Z ) ) }.
% 51.45/51.88 parent0[0]: (23) {G0,W9,D3,L2,V6,M2} I { ! alpha2( X, Y, Z ), ssList( skol8
% 51.45/51.88 ( T, U, W ) ) }.
% 51.45/51.88 parent1[0]: (780) {G2,W6,D3,L1,V0,M1} R(21,490);f;r(276) { alpha2( skol49,
% 51.45/51.88 skol49, skol7( skol49, skol49 ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol49
% 51.45/51.88 Y := skol49
% 51.45/51.88 Z := skol7( skol49, skol49 )
% 51.45/51.88 T := X
% 51.45/51.88 U := Y
% 51.45/51.88 W := Z
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (926) {G3,W5,D3,L1,V3,M1} R(780,23) { ssList( skol8( X, Y, Z )
% 51.45/51.88 ) }.
% 51.45/51.88 parent0: (147820) {G1,W5,D3,L1,V3,M1} { ssList( skol8( X, Y, Z ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147821) {G2,W4,D3,L1,V2,M1} { ssList( skol7( T, U ) ) }.
% 51.45/51.88 parent0[0]: (302) {G1,W6,D3,L2,V3,M2} F(20);r(212) { ! ssList( X ), ssList
% 51.45/51.88 ( skol7( Y, Z ) ) }.
% 51.45/51.88 parent1[0]: (926) {G3,W5,D3,L1,V3,M1} R(780,23) { ssList( skol8( X, Y, Z )
% 51.45/51.88 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol8( X, Y, Z )
% 51.45/51.88 Y := T
% 51.45/51.88 Z := U
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (1060) {G4,W4,D3,L1,V2,M1} R(302,926) { ssList( skol7( X, Y )
% 51.45/51.88 ) }.
% 51.45/51.88 parent0: (147821) {G2,W4,D3,L1,V2,M1} { ssList( skol7( T, U ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := Z
% 51.45/51.88 Y := T
% 51.45/51.88 Z := U
% 51.45/51.88 T := X
% 51.45/51.88 U := Y
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147822) {G2,W4,D3,L1,V2,M1} { ssList( skol6( Z, T ) ) }.
% 51.45/51.88 parent0[0]: (296) {G1,W6,D3,L2,V3,M2} F(17);r(205) { ! ssList( X ), ssList
% 51.45/51.88 ( skol6( Y, Z ) ) }.
% 51.45/51.88 parent1[0]: (1060) {G4,W4,D3,L1,V2,M1} R(302,926) { ssList( skol7( X, Y ) )
% 51.45/51.88 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol7( X, Y )
% 51.45/51.88 Y := Z
% 51.45/51.88 Z := T
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (1190) {G5,W4,D3,L1,V2,M1} R(296,1060) { ssList( skol6( X, Y )
% 51.45/51.88 ) }.
% 51.45/51.88 parent0: (147822) {G2,W4,D3,L1,V2,M1} { ssList( skol6( Z, T ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := Z
% 51.45/51.88 Y := T
% 51.45/51.88 Z := X
% 51.45/51.88 T := Y
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147824) {G1,W6,D3,L2,V1,M2} { ! ssList( X ), ssList( app( X,
% 51.45/51.88 skol46 ) ) }.
% 51.45/51.88 parent0[1]: (173) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssList( Y ),
% 51.45/51.88 ssList( app( X, Y ) ) }.
% 51.45/51.88 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := skol46
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (16055) {G1,W6,D3,L2,V1,M2} R(173,275) { ! ssList( X ), ssList
% 51.45/51.88 ( app( X, skol46 ) ) }.
% 51.45/51.88 parent0: (147824) {G1,W6,D3,L2,V1,M2} { ! ssList( X ), ssList( app( X,
% 51.45/51.88 skol46 ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 1 ==> 1
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147827) {G1,W6,D2,L2,V1,M2} { ! ssList( X ), ! alpha2( skol49
% 51.45/51.88 , skol46, X ) }.
% 51.45/51.88 parent0[0]: (878) {G3,W8,D2,L3,V1,M3} R(877,22);r(276) { ! ssList( skol46 )
% 51.45/51.88 , ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 51.45/51.88 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (20236) {G4,W6,D2,L2,V1,M2} S(878);r(275) { ! ssList( X ), !
% 51.45/51.88 alpha2( skol49, skol46, X ) }.
% 51.45/51.88 parent0: (147827) {G1,W6,D2,L2,V1,M2} { ! ssList( X ), ! alpha2( skol49,
% 51.45/51.88 skol46, X ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 1 ==> 1
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147829) {G1,W7,D4,L1,V0,M1} { app( skol6( skol49, skol46 ),
% 51.45/51.88 skol46 ) ==> skol49 }.
% 51.45/51.88 parent0[0]: (721) {G2,W9,D4,L2,V0,M2} R(18,285);r(276) { ! ssList( skol46 )
% 51.45/51.88 , app( skol6( skol49, skol46 ), skol46 ) ==> skol49 }.
% 51.45/51.88 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (20246) {G3,W7,D4,L1,V0,M1} S(721);r(275) { app( skol6( skol49
% 51.45/51.88 , skol46 ), skol46 ) ==> skol49 }.
% 51.45/51.88 parent0: (147829) {G1,W7,D4,L1,V0,M1} { app( skol6( skol49, skol46 ),
% 51.45/51.88 skol46 ) ==> skol49 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147831) {G5,W6,D3,L1,V2,M1} { ! alpha2( skol49, skol46, skol6
% 51.45/51.88 ( X, Y ) ) }.
% 51.45/51.88 parent0[0]: (20236) {G4,W6,D2,L2,V1,M2} S(878);r(275) { ! ssList( X ), !
% 51.45/51.88 alpha2( skol49, skol46, X ) }.
% 51.45/51.88 parent1[0]: (1190) {G5,W4,D3,L1,V2,M1} R(296,1060) { ssList( skol6( X, Y )
% 51.45/51.88 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol6( X, Y )
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (20951) {G6,W6,D3,L1,V2,M1} R(20236,1190) { ! alpha2( skol49,
% 51.45/51.88 skol46, skol6( X, Y ) ) }.
% 51.45/51.88 parent0: (147831) {G5,W6,D3,L1,V2,M1} { ! alpha2( skol49, skol46, skol6( X
% 51.45/51.88 , Y ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147832) {G2,W6,D4,L1,V2,M1} { ssList( app( skol6( X, Y ),
% 51.45/51.88 skol46 ) ) }.
% 51.45/51.88 parent0[0]: (16055) {G1,W6,D3,L2,V1,M2} R(173,275) { ! ssList( X ), ssList
% 51.45/51.88 ( app( X, skol46 ) ) }.
% 51.45/51.88 parent1[0]: (1190) {G5,W4,D3,L1,V2,M1} R(296,1060) { ssList( skol6( X, Y )
% 51.45/51.88 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol6( X, Y )
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (36544) {G6,W6,D4,L1,V2,M1} R(16055,1190) { ssList( app( skol6
% 51.45/51.88 ( X, Y ), skol46 ) ) }.
% 51.45/51.88 parent0: (147832) {G2,W6,D4,L1,V2,M1} { ssList( app( skol6( X, Y ), skol46
% 51.45/51.88 ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (147833) {G0,W7,D3,L2,V1,M2} { X ==> app( X, nil ), ! ssList( X )
% 51.45/51.88 }.
% 51.45/51.88 parent0[1]: (262) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( X, nil ) ==>
% 51.45/51.88 X }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147834) {G1,W13,D5,L1,V2,M1} { app( skol6( X, Y ), skol46 )
% 51.45/51.88 ==> app( app( skol6( X, Y ), skol46 ), nil ) }.
% 51.45/51.88 parent0[1]: (147833) {G0,W7,D3,L2,V1,M2} { X ==> app( X, nil ), ! ssList(
% 51.45/51.88 X ) }.
% 51.45/51.88 parent1[0]: (36544) {G6,W6,D4,L1,V2,M1} R(16055,1190) { ssList( app( skol6
% 51.45/51.88 ( X, Y ), skol46 ) ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := app( skol6( X, Y ), skol46 )
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (147835) {G1,W13,D5,L1,V2,M1} { app( app( skol6( X, Y ), skol46 )
% 51.45/51.88 , nil ) ==> app( skol6( X, Y ), skol46 ) }.
% 51.45/51.88 parent0[0]: (147834) {G1,W13,D5,L1,V2,M1} { app( skol6( X, Y ), skol46 )
% 51.45/51.88 ==> app( app( skol6( X, Y ), skol46 ), nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (49998) {G7,W13,D5,L1,V2,M1} R(36544,262) { app( app( skol6( X
% 51.45/51.88 , Y ), skol46 ), nil ) ==> app( skol6( X, Y ), skol46 ) }.
% 51.45/51.88 parent0: (147835) {G1,W13,D5,L1,V2,M1} { app( app( skol6( X, Y ), skol46 )
% 51.45/51.88 , nil ) ==> app( skol6( X, Y ), skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (147836) {G1,W11,D4,L2,V3,M2} { ! Z = app( app( X, Y ), nil ),
% 51.45/51.88 alpha2( Z, Y, X ) }.
% 51.45/51.88 parent0[0]: (890) {G1,W11,D4,L2,V3,M2} R(25,161) { ! app( app( X, Y ), nil
% 51.45/51.88 ) = Z, alpha2( Z, Y, X ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 Z := Z
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147838) {G2,W9,D5,L1,V2,M1} { ! skol49 = app( app( skol6( X,
% 51.45/51.88 Y ), skol46 ), nil ) }.
% 51.45/51.88 parent0[0]: (20951) {G6,W6,D3,L1,V2,M1} R(20236,1190) { ! alpha2( skol49,
% 51.45/51.88 skol46, skol6( X, Y ) ) }.
% 51.45/51.88 parent1[1]: (147836) {G1,W11,D4,L2,V3,M2} { ! Z = app( app( X, Y ), nil )
% 51.45/51.88 , alpha2( Z, Y, X ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := skol6( X, Y )
% 51.45/51.88 Y := skol46
% 51.45/51.88 Z := skol49
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 paramod: (147839) {G3,W7,D4,L1,V2,M1} { ! skol49 = app( skol6( X, Y ),
% 51.45/51.88 skol46 ) }.
% 51.45/51.88 parent0[0]: (49998) {G7,W13,D5,L1,V2,M1} R(36544,262) { app( app( skol6( X
% 51.45/51.88 , Y ), skol46 ), nil ) ==> app( skol6( X, Y ), skol46 ) }.
% 51.45/51.88 parent1[0; 3]: (147838) {G2,W9,D5,L1,V2,M1} { ! skol49 = app( app( skol6(
% 51.45/51.88 X, Y ), skol46 ), nil ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 eqswap: (147840) {G3,W7,D4,L1,V2,M1} { ! app( skol6( X, Y ), skol46 ) =
% 51.45/51.88 skol49 }.
% 51.45/51.88 parent0[0]: (147839) {G3,W7,D4,L1,V2,M1} { ! skol49 = app( skol6( X, Y ),
% 51.45/51.88 skol46 ) }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (122026) {G8,W7,D4,L1,V2,M1} R(890,20951);d(49998) { ! app(
% 51.45/51.88 skol6( X, Y ), skol46 ) ==> skol49 }.
% 51.45/51.88 parent0: (147840) {G3,W7,D4,L1,V2,M1} { ! app( skol6( X, Y ), skol46 ) =
% 51.45/51.88 skol49 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := X
% 51.45/51.88 Y := Y
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 0 ==> 0
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 resolution: (147843) {G4,W0,D0,L0,V0,M0} { }.
% 51.45/51.88 parent0[0]: (122026) {G8,W7,D4,L1,V2,M1} R(890,20951);d(49998) { ! app(
% 51.45/51.88 skol6( X, Y ), skol46 ) ==> skol49 }.
% 51.45/51.88 parent1[0]: (20246) {G3,W7,D4,L1,V0,M1} S(721);r(275) { app( skol6( skol49
% 51.45/51.88 , skol46 ), skol46 ) ==> skol49 }.
% 51.45/51.88 substitution0:
% 51.45/51.88 X := skol49
% 51.45/51.88 Y := skol46
% 51.45/51.88 end
% 51.45/51.88 substitution1:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 subsumption: (142174) {G9,W0,D0,L0,V0,M0} S(20246);r(122026) { }.
% 51.45/51.88 parent0: (147843) {G4,W0,D0,L0,V0,M0} { }.
% 51.45/51.88 substitution0:
% 51.45/51.88 end
% 51.45/51.88 permutation0:
% 51.45/51.88 end
% 51.45/51.88
% 51.45/51.88 Proof check complete!
% 51.45/51.88
% 51.45/51.88 Memory use:
% 51.45/51.88
% 51.45/51.88 space for terms: 2091171
% 51.45/51.88 space for clauses: 6149978
% 51.45/51.88
% 51.45/51.88
% 51.45/51.88 clauses generated: 686819
% 51.45/51.88 clauses kept: 142175
% 51.45/51.88 clauses selected: 3220
% 51.45/51.88 clauses deleted: 9320
% 51.45/51.88 clauses inuse deleted: 128
% 51.45/51.88
% 51.45/51.88 subsentry: 2124651
% 51.45/51.88 literals s-matched: 932451
% 51.45/51.88 literals matched: 729325
% 51.45/51.88 full subsumption: 331479
% 51.45/51.88
% 51.45/51.88 checksum: 1213363610
% 51.45/51.88
% 51.45/51.88
% 51.45/51.88 Bliksem ended
%------------------------------------------------------------------------------