TSTP Solution File: SWC118+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC118+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:59 EDT 2022
% Result : Theorem 2.55s 3.00s
% Output : Refutation 2.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC118+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 22:14:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.15 *** allocated 10000 integers for termspace/termends
% 0.72/1.15 *** allocated 10000 integers for clauses
% 0.72/1.15 *** allocated 10000 integers for justifications
% 0.72/1.15 Bliksem 1.12
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Automatic Strategy Selection
% 0.72/1.15
% 0.72/1.15 *** allocated 15000 integers for termspace/termends
% 0.72/1.15
% 0.72/1.15 Clauses:
% 0.72/1.15
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.15 { ssItem( skol1 ) }.
% 0.72/1.15 { ssItem( skol47 ) }.
% 0.72/1.15 { ! skol1 = skol47 }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.72/1.15 }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.72/1.15 Y ) ) }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.72/1.15 ( X, Y ) }.
% 0.72/1.15 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.72/1.15 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.72/1.15 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.72/1.15 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.72/1.15 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.72/1.15 ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.72/1.15 ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.72/1.15 ( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.72/1.15 }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.72/1.15 = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.72/1.15 ( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.72/1.15 }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.72/1.15 , Y ) ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.72/1.15 segmentP( X, Y ) }.
% 0.72/1.15 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.72/1.15 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.72/1.15 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.72/1.15 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.72/1.15 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.72/1.15 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.15 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.72/1.15 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.72/1.15 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, alpha12( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.72/1.15 { leq( X, Y ), alpha12( X, Y ) }.
% 0.72/1.15 { leq( Y, X ), alpha12( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.72/1.15 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.72/1.15 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.72/1.15 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.72/1.15 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.72/1.15 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, alpha13( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.72/1.15 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.72/1.15 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.72/1.15 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.72/1.15 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.72/1.15 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.72/1.15 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.72/1.15 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, alpha14( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.72/1.15 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.72/1.15 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.72/1.15 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.72/1.15 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.72/1.15 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.72/1.15 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.72/1.15 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, leq( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.72/1.15 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.72/1.15 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.72/1.15 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.72/1.15 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.72/1.15 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, lt( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.72/1.15 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.72/1.15 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.72/1.15 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.72/1.15 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.72/1.15 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.72/1.16 .
% 0.72/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.72/1.16 , U ) }.
% 0.72/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.16 ) ) = X, ! Y = Z }.
% 0.72/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.72/1.16 W ) }.
% 0.72/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.72/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.72/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.72/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.72/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.72/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.72/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.72/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.72/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.72/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.72/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.72/1.16 Z }.
% 0.72/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.72/1.16 { ssList( nil ) }.
% 0.72/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.16 ) = cons( T, Y ), Z = T }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.16 ) = cons( T, Y ), Y = X }.
% 0.72/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.72/1.16 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.72/1.16 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.72/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.72/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.72/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.72/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.72/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.72/1.16 ( cons( Z, Y ), X ) }.
% 0.72/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.72/1.16 , leq( X, Z ) }.
% 0.72/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.72/1.16 lt( X, Z ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.72/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.72/1.16 app( Y, Z ), X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.16 app( Y, Z ), X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.72/1.16 , X = Y, memberP( Z, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.72/1.16 ), X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.16 cons( Y, Z ), X ) }.
% 0.72/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.72/1.16 { ! singletonP( nil ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.72/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.72/1.16 = Y }.
% 0.72/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.72/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.72/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.72/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.72/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.72/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.72/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.72/1.16 Y }.
% 0.72/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.72/1.16 ( app( Z, X ), Y ) }.
% 0.72/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.72/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.72/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.72/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.72/1.16 Y }.
% 0.72/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.72/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.72/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.72/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.72/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.72/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.72/1.16 { cyclefreeP( nil ) }.
% 0.72/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.72/1.16 { totalorderP( nil ) }.
% 0.72/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.72/1.16 { strictorderP( nil ) }.
% 0.72/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.72/1.16 { totalorderedP( nil ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.16 alpha10( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.72/1.16 .
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.72/1.16 Y ) ) }.
% 0.72/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.72/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.72/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.72/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.72/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.72/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.72/1.16 { strictorderedP( nil ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.16 alpha11( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.72/1.16 .
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.72/1.16 , Y ) ) }.
% 0.72/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.72/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.72/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.72/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.72/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.72/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.72/1.16 { duplicatefreeP( nil ) }.
% 0.72/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.72/1.16 { equalelemsP( nil ) }.
% 0.72/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.72/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.72/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.72/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.72/1.16 ( Y ) = tl( X ), Y = X }.
% 0.72/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.72/1.16 , Z = X }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.72/1.16 , Z = X }.
% 0.72/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.72/1.16 ( X, app( Y, Z ) ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.72/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.72/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.72/1.16 Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.72/1.16 , geq( X, Z ) }.
% 0.72/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.72/1.16 , lt( X, Z ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.72/1.16 gt( X, Z ) }.
% 0.72/1.16 { ssList( skol46 ) }.
% 0.72/1.16 { ssList( skol49 ) }.
% 0.72/1.16 { ssList( skol50 ) }.
% 0.72/1.16 { ssList( skol51 ) }.
% 0.72/1.16 { skol49 = skol51 }.
% 0.72/1.16 { skol46 = skol50 }.
% 0.72/1.16 { ssList( skol52 ) }.
% 0.72/1.16 { ssList( skol53 ) }.
% 0.72/1.16 { app( app( skol52, skol50 ), skol53 ) = skol51 }.
% 0.72/1.16 { totalorderedP( skol50 ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! app( Y, cons( X, nil ) ) = skol52, !
% 0.72/1.16 ssItem( Z ), ! ssList( T ), ! app( cons( Z, nil ), T ) = skol50, ! leq( X
% 0.72/1.16 , Z ) }.
% 0.72/1.16 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol53, !
% 0.72/1.16 ssItem( Z ), ! ssList( T ), ! app( T, cons( Z, nil ) ) = skol50, ! leq( Z
% 0.72/1.16 , X ) }.
% 0.72/1.16 { nil = skol51, ! nil = skol50 }.
% 0.72/1.16 { ! nil = skol49, ! nil = skol46 }.
% 0.72/1.16 { ! neq( skol46, nil ), ! segmentP( skol49, skol46 ) }.
% 0.72/1.16
% 0.72/1.16 *** allocated 15000 integers for clauses
% 0.72/1.16 percentage equality = 0.135041, percentage horn = 0.765517
% 0.72/1.16 This is a problem with some equality
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Options Used:
% 0.72/1.16
% 0.72/1.16 useres = 1
% 0.72/1.16 useparamod = 1
% 0.72/1.16 useeqrefl = 1
% 0.72/1.16 useeqfact = 1
% 0.72/1.16 usefactor = 1
% 0.72/1.16 usesimpsplitting = 0
% 0.72/1.16 usesimpdemod = 5
% 0.72/1.16 usesimpres = 3
% 0.72/1.16
% 0.72/1.16 resimpinuse = 1000
% 0.72/1.16 resimpclauses = 20000
% 0.72/1.16 substype = eqrewr
% 0.72/1.16 backwardsubs = 1
% 0.72/1.16 selectoldest = 5
% 0.72/1.16
% 0.72/1.16 litorderings [0] = split
% 0.72/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.16
% 0.72/1.16 termordering = kbo
% 0.72/1.16
% 0.72/1.16 litapriori = 0
% 0.72/1.16 termapriori = 1
% 0.72/1.16 litaposteriori = 0
% 0.72/1.16 termaposteriori = 0
% 0.72/1.16 demodaposteriori = 0
% 0.72/1.16 ordereqreflfact = 0
% 0.72/1.16
% 0.72/1.16 litselect = negord
% 0.72/1.16
% 0.72/1.16 maxweight = 15
% 0.72/1.16 maxdepth = 30000
% 0.72/1.16 maxlength = 115
% 0.72/1.16 maxnrvars = 195
% 0.72/1.16 excuselevel = 1
% 0.72/1.16 increasemaxweight = 1
% 0.72/1.16
% 0.72/1.16 maxselected = 10000000
% 0.72/1.16 maxnrclauses = 10000000
% 0.72/1.16
% 0.72/1.16 showgenerated = 0
% 0.72/1.16 showkept = 0
% 0.72/1.16 showselected = 0
% 0.72/1.16 showdeleted = 0
% 0.72/1.16 showresimp = 1
% 0.72/1.16 showstatus = 2000
% 0.72/1.16
% 0.72/1.16 prologoutput = 0
% 0.72/1.16 nrgoals = 5000000
% 0.72/1.16 totalproof = 1
% 0.72/1.16
% 0.72/1.16 Symbols occurring in the translation:
% 0.72/1.16
% 0.72/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.16 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.16 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 0.72/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.16 ssItem [36, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.72/1.16 neq [38, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.72/1.16 ssList [39, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.72/1.62 memberP [40, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.72/1.62 cons [43, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.72/1.62 app [44, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.72/1.62 singletonP [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.72/1.62 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.62 frontsegP [47, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.72/1.62 rearsegP [48, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.72/1.62 segmentP [49, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.72/1.62 cyclefreeP [50, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.72/1.62 leq [53, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.72/1.62 totalorderP [54, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.62 strictorderP [55, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.72/1.62 lt [56, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.72/1.62 totalorderedP [57, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.62 strictorderedP [58, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.72/1.62 duplicatefreeP [59, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.62 equalelemsP [60, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.62 hd [61, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.62 tl [62, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.62 geq [63, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.72/1.62 gt [64, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.72/1.62 alpha1 [73, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.72/1.62 alpha2 [74, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.72/1.62 alpha3 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.72/1.62 alpha4 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.72/1.62 alpha5 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.72/1.62 alpha6 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.72/1.62 alpha7 [79, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.72/1.62 alpha8 [80, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.72/1.62 alpha9 [81, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.72/1.62 alpha10 [82, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.72/1.62 alpha11 [83, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.72/1.62 alpha12 [84, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.72/1.62 alpha13 [85, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.72/1.62 alpha14 [86, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.72/1.62 alpha15 [87, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.72/1.62 alpha16 [88, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.72/1.62 alpha17 [89, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.72/1.62 alpha18 [90, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.72/1.62 alpha19 [91, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.72/1.63 alpha20 [92, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.72/1.63 alpha21 [93, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.72/1.63 alpha22 [94, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.72/1.63 alpha23 [95, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.72/1.63 alpha24 [96, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.72/1.63 alpha25 [97, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.72/1.63 alpha26 [98, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.72/1.63 alpha27 [99, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.72/1.63 alpha28 [100, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.72/1.63 alpha29 [101, 4] (w:1, o:141, a:1, s:1, b:1),
% 0.72/1.63 alpha30 [102, 4] (w:1, o:142, a:1, s:1, b:1),
% 0.72/1.63 alpha31 [103, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.72/1.63 alpha32 [104, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.72/1.63 alpha33 [105, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.72/1.63 alpha34 [106, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.72/1.63 alpha35 [107, 5] (w:1, o:154, a:1, s:1, b:1),
% 0.72/1.63 alpha36 [108, 5] (w:1, o:155, a:1, s:1, b:1),
% 0.72/1.63 alpha37 [109, 5] (w:1, o:156, a:1, s:1, b:1),
% 0.72/1.63 alpha38 [110, 6] (w:1, o:163, a:1, s:1, b:1),
% 0.72/1.63 alpha39 [111, 6] (w:1, o:164, a:1, s:1, b:1),
% 0.72/1.63 alpha40 [112, 6] (w:1, o:165, a:1, s:1, b:1),
% 0.72/1.63 alpha41 [113, 6] (w:1, o:166, a:1, s:1, b:1),
% 0.72/1.63 alpha42 [114, 6] (w:1, o:167, a:1, s:1, b:1),
% 0.72/1.63 alpha43 [115, 6] (w:1, o:168, a:1, s:1, b:1),
% 0.72/1.63 skol1 [116, 0] (w:1, o:21, a:1, s:1, b:1),
% 0.72/1.63 skol2 [117, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.72/1.63 skol3 [118, 3] (w:1, o:129, a:1, s:1, b:1),
% 0.72/1.63 skol4 [119, 1] (w:1, o:42, a:1, s:1, b:1),
% 0.72/1.63 skol5 [120, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.72/1.63 skol6 [121, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.72/1.63 skol7 [122, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.72/1.63 skol8 [123, 3] (w:1, o:130, a:1, s:1, b:1),
% 0.72/1.63 skol9 [124, 1] (w:1, o:43, a:1, s:1, b:1),
% 0.72/1.63 skol10 [125, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.72/1.63 skol11 [126, 3] (w:1, o:131, a:1, s:1, b:1),
% 0.72/1.63 skol12 [127, 4] (w:1, o:143, a:1, s:1, b:1),
% 0.72/1.63 skol13 [128, 5] (w:1, o:157, a:1, s:1, b:1),
% 0.72/1.63 skol14 [129, 1] (w:1, o:44, a:1, s:1, b:1),
% 0.72/1.63 skol15 [130, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.72/1.63 skol16 [131, 3] (w:1, o:132, a:1, s:1, b:1),
% 2.55/3.00 skol17 [132, 4] (w:1, o:144, a:1, s:1, b:1),
% 2.55/3.00 skol18 [133, 5] (w:1, o:158, a:1, s:1, b:1),
% 2.55/3.00 skol19 [134, 1] (w:1, o:45, a:1, s:1, b:1),
% 2.55/3.00 skol20 [135, 2] (w:1, o:114, a:1, s:1, b:1),
% 2.55/3.00 skol21 [136, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.55/3.00 skol22 [137, 4] (w:1, o:145, a:1, s:1, b:1),
% 2.55/3.00 skol23 [138, 5] (w:1, o:159, a:1, s:1, b:1),
% 2.55/3.00 skol24 [139, 1] (w:1, o:46, a:1, s:1, b:1),
% 2.55/3.00 skol25 [140, 2] (w:1, o:115, a:1, s:1, b:1),
% 2.55/3.00 skol26 [141, 3] (w:1, o:128, a:1, s:1, b:1),
% 2.55/3.00 skol27 [142, 4] (w:1, o:146, a:1, s:1, b:1),
% 2.55/3.00 skol28 [143, 5] (w:1, o:160, a:1, s:1, b:1),
% 2.55/3.00 skol29 [144, 1] (w:1, o:47, a:1, s:1, b:1),
% 2.55/3.00 skol30 [145, 2] (w:1, o:116, a:1, s:1, b:1),
% 2.55/3.00 skol31 [146, 3] (w:1, o:133, a:1, s:1, b:1),
% 2.55/3.00 skol32 [147, 4] (w:1, o:147, a:1, s:1, b:1),
% 2.55/3.00 skol33 [148, 5] (w:1, o:161, a:1, s:1, b:1),
% 2.55/3.00 skol34 [149, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.55/3.00 skol35 [150, 2] (w:1, o:117, a:1, s:1, b:1),
% 2.55/3.00 skol36 [151, 3] (w:1, o:134, a:1, s:1, b:1),
% 2.55/3.00 skol37 [152, 4] (w:1, o:148, a:1, s:1, b:1),
% 2.55/3.00 skol38 [153, 5] (w:1, o:162, a:1, s:1, b:1),
% 2.55/3.00 skol39 [154, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.55/3.00 skol40 [155, 2] (w:1, o:110, a:1, s:1, b:1),
% 2.55/3.00 skol41 [156, 3] (w:1, o:135, a:1, s:1, b:1),
% 2.55/3.00 skol42 [157, 4] (w:1, o:149, a:1, s:1, b:1),
% 2.55/3.00 skol43 [158, 1] (w:1, o:48, a:1, s:1, b:1),
% 2.55/3.00 skol44 [159, 1] (w:1, o:49, a:1, s:1, b:1),
% 2.55/3.00 skol45 [160, 1] (w:1, o:50, a:1, s:1, b:1),
% 2.55/3.00 skol46 [161, 0] (w:1, o:22, a:1, s:1, b:1),
% 2.55/3.00 skol47 [162, 0] (w:1, o:23, a:1, s:1, b:1),
% 2.55/3.00 skol48 [163, 1] (w:1, o:51, a:1, s:1, b:1),
% 2.55/3.00 skol49 [164, 0] (w:1, o:24, a:1, s:1, b:1),
% 2.55/3.00 skol50 [165, 0] (w:1, o:25, a:1, s:1, b:1),
% 2.55/3.00 skol51 [166, 0] (w:1, o:26, a:1, s:1, b:1),
% 2.55/3.00 skol52 [167, 0] (w:1, o:27, a:1, s:1, b:1),
% 2.55/3.00 skol53 [168, 0] (w:1, o:28, a:1, s:1, b:1).
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Starting Search:
% 2.55/3.00
% 2.55/3.00 *** allocated 22500 integers for clauses
% 2.55/3.00 *** allocated 33750 integers for clauses
% 2.55/3.00 *** allocated 50625 integers for clauses
% 2.55/3.00 *** allocated 22500 integers for termspace/termends
% 2.55/3.00 *** allocated 75937 integers for clauses
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 33750 integers for termspace/termends
% 2.55/3.00 *** allocated 113905 integers for clauses
% 2.55/3.00 *** allocated 50625 integers for termspace/termends
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 3686
% 2.55/3.00 Kept: 2023
% 2.55/3.00 Inuse: 218
% 2.55/3.00 Deleted: 6
% 2.55/3.00 Deletedinuse: 0
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 170857 integers for clauses
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 75937 integers for termspace/termends
% 2.55/3.00 *** allocated 256285 integers for clauses
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 7018
% 2.55/3.00 Kept: 4036
% 2.55/3.00 Inuse: 345
% 2.55/3.00 Deleted: 10
% 2.55/3.00 Deletedinuse: 4
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 113905 integers for termspace/termends
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 384427 integers for clauses
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 10186
% 2.55/3.00 Kept: 6042
% 2.55/3.00 Inuse: 460
% 2.55/3.00 Deleted: 12
% 2.55/3.00 Deletedinuse: 6
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 170857 integers for termspace/termends
% 2.55/3.00 *** allocated 576640 integers for clauses
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 14216
% 2.55/3.00 Kept: 8057
% 2.55/3.00 Inuse: 583
% 2.55/3.00 Deleted: 12
% 2.55/3.00 Deletedinuse: 6
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 256285 integers for termspace/termends
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 19289
% 2.55/3.00 Kept: 11357
% 2.55/3.00 Inuse: 675
% 2.55/3.00 Deleted: 12
% 2.55/3.00 Deletedinuse: 6
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 864960 integers for clauses
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 24584
% 2.55/3.00 Kept: 13555
% 2.55/3.00 Inuse: 745
% 2.55/3.00 Deleted: 12
% 2.55/3.00 Deletedinuse: 6
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 33983
% 2.55/3.00 Kept: 15701
% 2.55/3.00 Inuse: 780
% 2.55/3.00 Deleted: 16
% 2.55/3.00 Deletedinuse: 10
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 384427 integers for termspace/termends
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 39308
% 2.55/3.00 Kept: 17784
% 2.55/3.00 Inuse: 823
% 2.55/3.00 Deleted: 59
% 2.55/3.00 Deletedinuse: 51
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 1297440 integers for clauses
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 48834
% 2.55/3.00 Kept: 19936
% 2.55/3.00 Inuse: 878
% 2.55/3.00 Deleted: 78
% 2.55/3.00 Deletedinuse: 55
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 Resimplifying clauses:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 59642
% 2.55/3.00 Kept: 22015
% 2.55/3.00 Inuse: 909
% 2.55/3.00 Deleted: 2354
% 2.55/3.00 Deletedinuse: 56
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 576640 integers for termspace/termends
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 68818
% 2.55/3.00 Kept: 24068
% 2.55/3.00 Inuse: 942
% 2.55/3.00 Deleted: 2357
% 2.55/3.00 Deletedinuse: 57
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 80108
% 2.55/3.00 Kept: 26116
% 2.55/3.00 Inuse: 971
% 2.55/3.00 Deleted: 2370
% 2.55/3.00 Deletedinuse: 64
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 88473
% 2.55/3.00 Kept: 28367
% 2.55/3.00 Inuse: 1016
% 2.55/3.00 Deleted: 2370
% 2.55/3.00 Deletedinuse: 64
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 1946160 integers for clauses
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 98708
% 2.55/3.00 Kept: 30499
% 2.55/3.00 Inuse: 1046
% 2.55/3.00 Deleted: 2372
% 2.55/3.00 Deletedinuse: 66
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 *** allocated 864960 integers for termspace/termends
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 108906
% 2.55/3.00 Kept: 32709
% 2.55/3.00 Inuse: 1071
% 2.55/3.00 Deleted: 2372
% 2.55/3.00 Deletedinuse: 66
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Intermediate Status:
% 2.55/3.00 Generated: 122366
% 2.55/3.00 Kept: 35215
% 2.55/3.00 Inuse: 1103
% 2.55/3.00 Deleted: 2380
% 2.55/3.00 Deletedinuse: 71
% 2.55/3.00
% 2.55/3.00 Resimplifying inuse:
% 2.55/3.00 Done
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Bliksems!, er is een bewijs:
% 2.55/3.00 % SZS status Theorem
% 2.55/3.00 % SZS output start Refutation
% 2.55/3.00
% 2.55/3.00 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 2.55/3.00 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.55/3.00 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 2.55/3.00 alpha2( X, Y, Z ) }.
% 2.55/3.00 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.55/3.00 , Y ) }.
% 2.55/3.00 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.61/3.00 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.61/3.00 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.61/3.00 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.61/3.00 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.61/3.00 (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 2.61/3.00 (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 2.61/3.00 (283) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52, skol46 ),
% 2.61/3.00 skol53 ) ==> skol49 }.
% 2.61/3.00 (287) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, ! skol46 ==>
% 2.61/3.00 nil }.
% 2.61/3.00 (288) {G2,W3,D2,L1,V0,M1} I;d(287);q { ! skol46 ==> nil }.
% 2.61/3.00 (289) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! segmentP( skol49,
% 2.61/3.00 skol46 ) }.
% 2.61/3.00 (14444) {G3,W8,D2,L3,V1,M3} P(159,288);r(275) { ! X = nil, ! ssList( X ),
% 2.61/3.00 neq( skol46, X ) }.
% 2.61/3.00 (14479) {G4,W3,D2,L1,V0,M1} Q(14444);r(161) { neq( skol46, nil ) }.
% 2.61/3.00 (14529) {G5,W3,D2,L1,V0,M1} R(14479,289) { ! segmentP( skol49, skol46 ) }.
% 2.61/3.00 (14543) {G6,W8,D2,L3,V1,M3} R(14529,22);r(276) { ! ssList( skol46 ), !
% 2.61/3.00 ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 2.61/3.00 (20107) {G7,W6,D2,L2,V1,M2} S(14543);r(275) { ! ssList( X ), ! alpha2(
% 2.61/3.00 skol49, skol46, X ) }.
% 2.61/3.00 (21862) {G8,W4,D2,L1,V0,M1} R(20107,281) { ! alpha2( skol49, skol46, skol52
% 2.61/3.00 ) }.
% 2.61/3.00 (36084) {G2,W7,D2,L2,V1,M2} P(283,25);r(282) { ! skol49 = X, alpha2( X,
% 2.61/3.00 skol46, skol52 ) }.
% 2.61/3.00 (36098) {G9,W0,D0,L0,V0,M0} Q(36084);r(21862) { }.
% 2.61/3.00
% 2.61/3.00
% 2.61/3.00 % SZS output end Refutation
% 2.61/3.00 found a proof!
% 2.61/3.00
% 2.61/3.00
% 2.61/3.00 Unprocessed initial clauses:
% 2.61/3.00
% 2.61/3.00 (36100) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.61/3.00 , ! X = Y }.
% 2.61/3.00 (36101) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36102) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.61/3.00 (36103) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.61/3.00 (36104) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.61/3.00 (36105) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.61/3.00 , Y ), ssList( skol2( Z, T ) ) }.
% 2.61/3.00 (36106) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.61/3.00 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.61/3.00 (36107) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.61/3.00 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.61/3.00 (36108) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.61/3.00 ) ) }.
% 2.61/3.00 (36109) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.61/3.00 ( X, Y, Z ) ) ) = X }.
% 2.61/3.00 (36110) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.61/3.00 , alpha1( X, Y, Z ) }.
% 2.61/3.00 (36111) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.61/3.00 skol4( Y ) ) }.
% 2.61/3.00 (36112) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.61/3.00 skol4( X ), nil ) = X }.
% 2.61/3.00 (36113) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.61/3.00 nil ) = X, singletonP( X ) }.
% 2.61/3.00 (36114) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.61/3.00 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.61/3.00 (36115) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.61/3.00 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.61/3.00 (36116) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.61/3.00 (36117) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.61/3.00 , Y ), ssList( skol6( Z, T ) ) }.
% 2.61/3.00 (36118) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.61/3.00 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.61/3.00 (36119) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.61/3.00 (36120) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.61/3.00 , Y ), ssList( skol7( Z, T ) ) }.
% 2.61/3.00 (36121) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.61/3.00 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.61/3.00 (36122) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.61/3.00 (36123) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.61/3.00 ) ) }.
% 2.61/3.00 (36124) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.61/3.00 skol8( X, Y, Z ) ) = X }.
% 2.61/3.00 (36125) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.61/3.00 , alpha2( X, Y, Z ) }.
% 2.61/3.00 (36126) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.61/3.00 Y ), alpha3( X, Y ) }.
% 2.61/3.00 (36127) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.61/3.00 cyclefreeP( X ) }.
% 2.61/3.00 (36128) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.61/3.00 cyclefreeP( X ) }.
% 2.61/3.00 (36129) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.61/3.00 , Y, Z ) }.
% 2.61/3.00 (36130) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.61/3.00 (36131) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36132) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.61/3.00 alpha28( X, Y, Z, T ) }.
% 2.61/3.00 (36133) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.61/3.00 Z ) }.
% 2.61/3.00 (36134) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.61/3.00 alpha21( X, Y, Z ) }.
% 2.61/3.00 (36135) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.61/3.00 alpha35( X, Y, Z, T, U ) }.
% 2.61/3.00 (36136) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.61/3.00 X, Y, Z, T ) }.
% 2.61/3.00 (36137) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.61/3.00 ), alpha28( X, Y, Z, T ) }.
% 2.61/3.00 (36138) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.61/3.00 alpha41( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36139) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.61/3.00 alpha35( X, Y, Z, T, U ) }.
% 2.61/3.00 (36140) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.61/3.00 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.61/3.00 (36141) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.61/3.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.61/3.00 (36142) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.61/3.00 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36143) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.61/3.00 W ) }.
% 2.61/3.00 (36144) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.61/3.00 X ) }.
% 2.61/3.00 (36145) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.61/3.00 (36146) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.61/3.00 (36147) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.61/3.00 ( Y ), alpha4( X, Y ) }.
% 2.61/3.00 (36148) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.61/3.00 totalorderP( X ) }.
% 2.61/3.00 (36149) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.61/3.00 totalorderP( X ) }.
% 2.61/3.00 (36150) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.61/3.00 , Y, Z ) }.
% 2.61/3.00 (36151) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.61/3.00 (36152) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36153) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.61/3.00 alpha29( X, Y, Z, T ) }.
% 2.61/3.00 (36154) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.61/3.00 Z ) }.
% 2.61/3.00 (36155) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.61/3.00 alpha22( X, Y, Z ) }.
% 2.61/3.00 (36156) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.61/3.00 alpha36( X, Y, Z, T, U ) }.
% 2.61/3.00 (36157) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.61/3.00 X, Y, Z, T ) }.
% 2.61/3.00 (36158) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.61/3.00 ), alpha29( X, Y, Z, T ) }.
% 2.61/3.00 (36159) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.61/3.00 alpha42( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36160) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.61/3.00 alpha36( X, Y, Z, T, U ) }.
% 2.61/3.00 (36161) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.61/3.00 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.61/3.00 (36162) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.61/3.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.61/3.00 (36163) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.61/3.00 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36164) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.61/3.00 W ) }.
% 2.61/3.00 (36165) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.61/3.00 }.
% 2.61/3.00 (36166) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.61/3.00 (36167) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.61/3.00 (36168) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.61/3.00 ( Y ), alpha5( X, Y ) }.
% 2.61/3.00 (36169) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.61/3.00 strictorderP( X ) }.
% 2.61/3.00 (36170) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.61/3.00 strictorderP( X ) }.
% 2.61/3.00 (36171) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.61/3.00 , Y, Z ) }.
% 2.61/3.00 (36172) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.61/3.00 (36173) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36174) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.61/3.00 alpha30( X, Y, Z, T ) }.
% 2.61/3.00 (36175) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.61/3.00 Z ) }.
% 2.61/3.00 (36176) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.61/3.00 alpha23( X, Y, Z ) }.
% 2.61/3.00 (36177) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.61/3.00 alpha37( X, Y, Z, T, U ) }.
% 2.61/3.00 (36178) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.61/3.00 X, Y, Z, T ) }.
% 2.61/3.00 (36179) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.61/3.00 ), alpha30( X, Y, Z, T ) }.
% 2.61/3.00 (36180) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.61/3.00 alpha43( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36181) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.61/3.00 alpha37( X, Y, Z, T, U ) }.
% 2.61/3.00 (36182) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.61/3.00 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.61/3.00 (36183) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.61/3.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.61/3.00 (36184) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.61/3.00 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36185) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.61/3.00 W ) }.
% 2.61/3.00 (36186) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.61/3.00 }.
% 2.61/3.00 (36187) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.61/3.00 (36188) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.61/3.00 (36189) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.61/3.00 ssItem( Y ), alpha6( X, Y ) }.
% 2.61/3.00 (36190) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.61/3.00 totalorderedP( X ) }.
% 2.61/3.00 (36191) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.61/3.00 totalorderedP( X ) }.
% 2.61/3.00 (36192) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.61/3.00 , Y, Z ) }.
% 2.61/3.00 (36193) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.61/3.00 (36194) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36195) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.61/3.00 alpha24( X, Y, Z, T ) }.
% 2.61/3.00 (36196) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.61/3.00 Z ) }.
% 2.61/3.00 (36197) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.61/3.00 alpha15( X, Y, Z ) }.
% 2.61/3.00 (36198) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.61/3.00 alpha31( X, Y, Z, T, U ) }.
% 2.61/3.00 (36199) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.61/3.00 X, Y, Z, T ) }.
% 2.61/3.00 (36200) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.61/3.00 ), alpha24( X, Y, Z, T ) }.
% 2.61/3.00 (36201) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.61/3.00 alpha38( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36202) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.61/3.00 alpha31( X, Y, Z, T, U ) }.
% 2.61/3.00 (36203) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.61/3.00 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.61/3.00 (36204) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.61/3.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.61/3.00 (36205) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.61/3.00 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36206) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.61/3.00 }.
% 2.61/3.00 (36207) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.61/3.00 ssItem( Y ), alpha7( X, Y ) }.
% 2.61/3.00 (36208) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.61/3.00 strictorderedP( X ) }.
% 2.61/3.00 (36209) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.61/3.00 strictorderedP( X ) }.
% 2.61/3.00 (36210) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.61/3.00 , Y, Z ) }.
% 2.61/3.00 (36211) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.61/3.00 (36212) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36213) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.61/3.00 alpha25( X, Y, Z, T ) }.
% 2.61/3.00 (36214) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.61/3.00 Z ) }.
% 2.61/3.00 (36215) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.61/3.00 alpha16( X, Y, Z ) }.
% 2.61/3.00 (36216) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.61/3.00 alpha32( X, Y, Z, T, U ) }.
% 2.61/3.00 (36217) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.61/3.00 X, Y, Z, T ) }.
% 2.61/3.00 (36218) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.61/3.00 ), alpha25( X, Y, Z, T ) }.
% 2.61/3.00 (36219) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.61/3.00 alpha39( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36220) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.61/3.00 alpha32( X, Y, Z, T, U ) }.
% 2.61/3.00 (36221) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.61/3.00 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.61/3.00 (36222) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.61/3.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.61/3.00 (36223) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.61/3.00 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36224) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.61/3.00 }.
% 2.61/3.00 (36225) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.61/3.00 ssItem( Y ), alpha8( X, Y ) }.
% 2.61/3.00 (36226) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.61/3.00 duplicatefreeP( X ) }.
% 2.61/3.00 (36227) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.61/3.00 duplicatefreeP( X ) }.
% 2.61/3.00 (36228) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.61/3.00 , Y, Z ) }.
% 2.61/3.00 (36229) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.61/3.00 (36230) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36231) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.61/3.00 alpha26( X, Y, Z, T ) }.
% 2.61/3.00 (36232) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.61/3.00 Z ) }.
% 2.61/3.00 (36233) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.61/3.00 alpha17( X, Y, Z ) }.
% 2.61/3.00 (36234) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.61/3.00 alpha33( X, Y, Z, T, U ) }.
% 2.61/3.00 (36235) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.61/3.00 X, Y, Z, T ) }.
% 2.61/3.00 (36236) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.61/3.00 ), alpha26( X, Y, Z, T ) }.
% 2.61/3.00 (36237) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.61/3.00 alpha40( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36238) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.61/3.00 alpha33( X, Y, Z, T, U ) }.
% 2.61/3.00 (36239) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.61/3.00 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.61/3.00 (36240) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.61/3.00 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.61/3.00 (36241) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.61/3.00 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36242) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.61/3.00 (36243) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.61/3.00 ( Y ), alpha9( X, Y ) }.
% 2.61/3.00 (36244) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.61/3.00 equalelemsP( X ) }.
% 2.61/3.00 (36245) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.61/3.00 equalelemsP( X ) }.
% 2.61/3.00 (36246) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.61/3.00 , Y, Z ) }.
% 2.61/3.00 (36247) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.61/3.00 (36248) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36249) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.61/3.00 alpha27( X, Y, Z, T ) }.
% 2.61/3.00 (36250) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.61/3.00 Z ) }.
% 2.61/3.00 (36251) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.61/3.00 alpha18( X, Y, Z ) }.
% 2.61/3.00 (36252) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.61/3.00 alpha34( X, Y, Z, T, U ) }.
% 2.61/3.00 (36253) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.61/3.00 X, Y, Z, T ) }.
% 2.61/3.00 (36254) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.61/3.00 ), alpha27( X, Y, Z, T ) }.
% 2.61/3.00 (36255) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.61/3.00 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.61/3.00 (36256) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.61/3.00 alpha34( X, Y, Z, T, U ) }.
% 2.61/3.00 (36257) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.61/3.00 (36258) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.61/3.00 , ! X = Y }.
% 2.61/3.00 (36259) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.61/3.00 , Y ) }.
% 2.61/3.00 (36260) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.61/3.00 Y, X ) ) }.
% 2.61/3.00 (36261) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.61/3.00 (36262) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.61/3.00 = X }.
% 2.61/3.00 (36263) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.61/3.00 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.61/3.00 (36264) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.61/3.00 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.61/3.00 (36265) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.61/3.00 ) }.
% 2.61/3.00 (36266) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.61/3.00 ) }.
% 2.61/3.00 (36267) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.61/3.00 skol43( X ) ) = X }.
% 2.61/3.00 (36268) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.61/3.00 Y, X ) }.
% 2.61/3.00 (36269) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.61/3.00 }.
% 2.61/3.00 (36270) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.61/3.00 X ) ) = Y }.
% 2.61/3.00 (36271) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.61/3.00 }.
% 2.61/3.00 (36272) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.61/3.00 X ) ) = X }.
% 2.61/3.00 (36273) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.61/3.00 , Y ) ) }.
% 2.61/3.00 (36274) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.61/3.00 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.61/3.00 (36275) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.61/3.00 (36276) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.61/3.00 , ! leq( Y, X ), X = Y }.
% 2.61/3.00 (36277) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.61/3.00 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.61/3.00 (36278) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.61/3.00 (36279) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.61/3.00 , leq( Y, X ) }.
% 2.61/3.00 (36280) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.61/3.00 , geq( X, Y ) }.
% 2.61/3.00 (36281) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.61/3.00 , ! lt( Y, X ) }.
% 2.61/3.00 (36282) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.61/3.00 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.61/3.00 (36283) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.61/3.00 , lt( Y, X ) }.
% 2.61/3.00 (36284) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.61/3.00 , gt( X, Y ) }.
% 2.61/3.00 (36285) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.61/3.00 (36286) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.61/3.00 (36287) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.61/3.00 (36288) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.61/3.00 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.61/3.00 (36289) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.61/3.00 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.61/3.00 (36290) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.61/3.00 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.61/3.00 (36291) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.61/3.00 (36292) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.61/3.00 (36293) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.61/3.00 (36294) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.61/3.00 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.61/3.00 (36295) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.61/3.00 (36296) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.61/3.00 (36297) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.61/3.00 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.61/3.00 (36298) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.61/3.00 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.61/3.00 , T ) }.
% 2.61/3.00 (36299) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.61/3.00 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.61/3.00 cons( Y, T ) ) }.
% 2.61/3.00 (36300) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.61/3.00 (36301) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.61/3.00 X }.
% 2.61/3.00 (36302) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.61/3.00 ) }.
% 2.61/3.00 (36303) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.61/3.00 (36304) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.61/3.00 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.61/3.00 (36305) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.61/3.00 (36306) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.61/3.00 (36307) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.61/3.00 (36308) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.61/3.00 }.
% 2.61/3.00 (36309) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.61/3.00 }.
% 2.61/3.00 (36310) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.61/3.00 (36311) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.61/3.00 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.61/3.00 (36312) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.61/3.00 (36313) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.61/3.00 }.
% 2.61/3.00 (36314) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.61/3.00 (36315) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.61/3.00 }.
% 2.61/3.00 (36316) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.61/3.00 }.
% 2.61/3.00 (36317) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.61/3.00 }.
% 2.61/3.00 (36318) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.61/3.00 (36319) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.61/3.00 }.
% 2.61/3.00 (36320) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.61/3.00 (36321) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.61/3.00 ) }.
% 2.61/3.00 (36322) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.61/3.00 (36323) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.61/3.00 ) }.
% 2.61/3.00 (36324) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.61/3.00 (36325) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.61/3.00 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.61/3.00 (36326) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.61/3.00 totalorderedP( cons( X, Y ) ) }.
% 2.61/3.00 (36327) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.61/3.00 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.61/3.00 (36328) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.61/3.00 (36329) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.61/3.00 (36330) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.61/3.00 }.
% 2.61/3.00 (36331) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.61/3.00 (36332) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.61/3.00 (36333) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.61/3.00 alpha19( X, Y ) }.
% 2.61/3.00 (36334) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.61/3.00 ) ) }.
% 2.61/3.00 (36335) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.61/3.00 (36336) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.61/3.00 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.61/3.00 (36337) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.61/3.00 strictorderedP( cons( X, Y ) ) }.
% 2.61/3.00 (36338) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.61/3.00 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.61/3.00 (36339) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.61/3.00 (36340) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.61/3.00 (36341) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.61/3.00 }.
% 2.61/3.00 (36342) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.61/3.00 (36343) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.61/3.00 (36344) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.61/3.00 alpha20( X, Y ) }.
% 2.61/3.00 (36345) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.61/3.00 ) ) }.
% 2.61/3.00 (36346) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.61/3.00 (36347) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.61/3.00 }.
% 2.61/3.00 (36348) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.61/3.00 (36349) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.61/3.00 ) }.
% 2.61/3.00 (36350) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.61/3.00 ) }.
% 2.61/3.00 (36351) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.61/3.00 ) }.
% 2.61/3.00 (36352) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.61/3.00 ) }.
% 2.61/3.00 (36353) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.61/3.00 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.61/3.00 (36354) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.61/3.00 X ) ) = X }.
% 2.61/3.00 (36355) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.61/3.00 (36356) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.61/3.00 (36357) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.61/3.00 = app( cons( Y, nil ), X ) }.
% 2.61/3.00 (36358) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.61/3.00 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.61/3.00 (36359) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.61/3.00 X, Y ), nil = Y }.
% 2.61/3.00 (36360) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.61/3.00 X, Y ), nil = X }.
% 2.61/3.00 (36361) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.61/3.00 nil = X, nil = app( X, Y ) }.
% 2.61/3.00 (36362) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.61/3.00 (36363) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.61/3.00 app( X, Y ) ) = hd( X ) }.
% 2.61/3.00 (36364) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.61/3.00 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.61/3.00 (36365) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.61/3.00 , ! geq( Y, X ), X = Y }.
% 2.61/3.00 (36366) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.61/3.00 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.61/3.00 (36367) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.61/3.00 (36368) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.61/3.00 (36369) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.61/3.00 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.61/3.00 (36370) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.61/3.00 , X = Y, lt( X, Y ) }.
% 2.61/3.00 (36371) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.61/3.00 , ! X = Y }.
% 2.61/3.00 (36372) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.61/3.00 , leq( X, Y ) }.
% 2.61/3.00 (36373) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.61/3.00 ( X, Y ), lt( X, Y ) }.
% 2.61/3.00 (36374) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.61/3.00 , ! gt( Y, X ) }.
% 2.61/3.00 (36375) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.61/3.00 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.61/3.00 (36376) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.61/3.00 (36377) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.61/3.00 (36378) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.61/3.00 (36379) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.61/3.00 (36380) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.61/3.00 (36381) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.61/3.00 (36382) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.61/3.00 (36383) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 2.61/3.00 (36384) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol50 ), skol53 ) =
% 2.61/3.00 skol51 }.
% 2.61/3.00 (36385) {G0,W2,D2,L1,V0,M1} { totalorderedP( skol50 ) }.
% 2.61/3.00 (36386) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( Y,
% 2.61/3.00 cons( X, nil ) ) = skol52, ! ssItem( Z ), ! ssList( T ), ! app( cons( Z,
% 2.61/3.00 nil ), T ) = skol50, ! leq( X, Z ) }.
% 2.61/3.00 (36387) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 2.61/3.00 X, nil ), Y ) = skol53, ! ssItem( Z ), ! ssList( T ), ! app( T, cons( Z,
% 2.61/3.00 nil ) ) = skol50, ! leq( Z, X ) }.
% 2.61/3.00 (36388) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 2.61/3.00 (36389) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil = skol46 }.
% 2.61/3.00 (36390) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! segmentP( skol49,
% 2.61/3.00 skol46 ) }.
% 2.61/3.00
% 2.61/3.00
% 2.61/3.00 Total Proof:
% 2.61/3.00
% 2.61/3.00 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 2.61/3.00 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.61/3.00 parent0: (36122) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 2.61/3.00 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.61/3.00 substitution0:
% 2.61/3.00 X := X
% 2.61/3.00 Y := Y
% 2.61/3.00 Z := Z
% 2.61/3.00 end
% 2.61/3.00 permutation0:
% 2.61/3.00 0 ==> 0
% 2.61/3.00 1 ==> 1
% 2.61/3.00 2 ==> 2
% 2.61/3.00 3 ==> 3
% 2.61/3.00 4 ==> 4
% 2.61/3.00 end
% 2.61/3.00
% 2.61/3.00 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 2.61/3.00 ), T ) = X, alpha2( X, Y, Z ) }.
% 2.61/3.00 parent0: (36125) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 2.61/3.00 , T ) = X, alpha2( X, Y, Z ) }.
% 2.61/3.00 substitution0:
% 2.61/3.00 X := X
% 2.61/3.00 Y := Y
% 2.61/3.00 Z := Z
% 2.61/3.00 T := T
% 2.61/3.00 end
% 2.61/3.00 permutation0:
% 2.61/3.00 0 ==> 0
% 2.61/3.00 1 ==> 1
% 2.61/3.00 2 ==> 2
% 2.61/3.00 end
% 2.61/3.00
% 2.61/3.00 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 2.61/3.00 = Y, neq( X, Y ) }.
% 2.61/3.00 parent0: (36259) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 2.61/3.00 Y, neq( X, Y ) }.
% 2.61/3.00 substitution0:
% 2.61/3.00 X := X
% 2.61/3.00 Y := Y
% 2.61/3.00 end
% 2.61/3.00 permutation0:
% 2.61/3.00 0 ==> 0
% 2.61/3.00 1 ==> 1
% 2.61/3.00 2 ==> 2
% 2.61/3.00 3 ==> 3
% 2.61/3.00 end
% 2.61/3.00
% 2.61/3.00 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.61/3.00 parent0: (36261) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.61/3.00 substitution0:
% 2.61/3.00 end
% 2.61/3.00 permutation0:
% 2.61/3.00 0 ==> 0
% 2.61/3.00 end
% 2.61/3.00
% 2.61/3.00 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.61/3.00 parent0: (36376) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.61/3.00 substitution0:
% 2.61/3.00 end
% 2.61/3.00 permutation0:
% 2.61/3.00 0 ==> 0
% 2.61/3.00 end
% 2.61/3.00
% 2.61/3.00 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.61/3.00 parent0: (36377) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.61/3.00 substitution0:
% 2.61/3.00 end
% 2.61/3.00 permutation0:
% 2.61/3.00 0 ==> 0
% 2.61/3.00 end
% 2.61/3.00
% 2.61/3.00 eqswap: (37657) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.61/3.02 parent0[0]: (36380) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.61/3.02 parent0: (37657) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 permutation0:
% 2.61/3.02 0 ==> 0
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 eqswap: (38005) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.61/3.02 parent0[0]: (36381) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.61/3.02 parent0: (38005) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 permutation0:
% 2.61/3.02 0 ==> 0
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 2.61/3.02 parent0: (36382) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 permutation0:
% 2.61/3.02 0 ==> 0
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 2.61/3.02 parent0: (36383) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 permutation0:
% 2.61/3.02 0 ==> 0
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 paramod: (39631) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 2.61/3.02 ) = skol51 }.
% 2.61/3.02 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.61/3.02 parent1[0; 4]: (36384) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol50 ),
% 2.61/3.02 skol53 ) = skol51 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 substitution1:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 paramod: (39632) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 2.61/3.02 ) = skol49 }.
% 2.61/3.02 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.61/3.02 parent1[0; 6]: (39631) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ),
% 2.61/3.02 skol53 ) = skol51 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 substitution1:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 subsumption: (283) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52,
% 2.61/3.02 skol46 ), skol53 ) ==> skol49 }.
% 2.61/3.02 parent0: (39632) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 2.61/3.02 ) = skol49 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 permutation0:
% 2.61/3.02 0 ==> 0
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 paramod: (40610) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50 }.
% 2.61/3.02 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.61/3.02 parent1[0; 2]: (36388) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50
% 2.61/3.02 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 substitution1:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 paramod: (40611) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 2.61/3.02 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.61/3.02 parent1[1; 3]: (40610) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50
% 2.61/3.02 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 substitution1:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 eqswap: (40613) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 2.61/3.02 parent0[1]: (40611) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 eqswap: (40614) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 2.61/3.02 parent0[1]: (40613) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 subsumption: (287) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 2.61/3.02 skol46 ==> nil }.
% 2.61/3.02 parent0: (40614) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 permutation0:
% 2.61/3.02 0 ==> 1
% 2.61/3.02 1 ==> 0
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 eqswap: (41878) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol46, skol49 ==> nil }.
% 2.61/3.02 parent0[1]: (287) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 2.61/3.02 skol46 ==> nil }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 paramod: (41883) {G1,W9,D2,L3,V0,M3} { ! nil = nil, ! nil ==> skol46, !
% 2.61/3.02 nil = skol46 }.
% 2.61/3.02 parent0[1]: (41878) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol46, skol49 ==> nil
% 2.61/3.02 }.
% 2.61/3.02 parent1[0; 3]: (36389) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil =
% 2.61/3.02 skol46 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 substitution1:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 factor: (41884) {G1,W6,D2,L2,V0,M2} { ! nil = nil, ! nil ==> skol46 }.
% 2.61/3.02 parent0[1, 2]: (41883) {G1,W9,D2,L3,V0,M3} { ! nil = nil, ! nil ==> skol46
% 2.61/3.02 , ! nil = skol46 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 eqrefl: (41885) {G0,W3,D2,L1,V0,M1} { ! nil ==> skol46 }.
% 2.61/3.02 parent0[0]: (41884) {G1,W6,D2,L2,V0,M2} { ! nil = nil, ! nil ==> skol46
% 2.61/3.02 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 eqswap: (41886) {G0,W3,D2,L1,V0,M1} { ! skol46 ==> nil }.
% 2.61/3.02 parent0[0]: (41885) {G0,W3,D2,L1,V0,M1} { ! nil ==> skol46 }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 subsumption: (288) {G2,W3,D2,L1,V0,M1} I;d(287);q { ! skol46 ==> nil }.
% 2.61/3.02 parent0: (41886) {G0,W3,D2,L1,V0,M1} { ! skol46 ==> nil }.
% 2.61/3.02 substitution0:
% 2.61/3.02 end
% 2.61/3.02 permutation0:
% 2.61/3.02 0 ==> 0
% 2.61/3.02 end
% 2.61/3.02
% 2.61/3.02 subsumption: (289) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! segmentPCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------