TSTP Solution File: SWC371+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC371+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 19:36:20 EDT 2022
% Result : Theorem 1.77s 2.16s
% Output : Refutation 1.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC371+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 11 22:11:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.17 *** allocated 10000 integers for termspace/termends
% 0.44/1.17 *** allocated 10000 integers for clauses
% 0.44/1.17 *** allocated 10000 integers for justifications
% 0.44/1.17 Bliksem 1.12
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 Automatic Strategy Selection
% 0.44/1.17
% 0.44/1.17 *** allocated 15000 integers for termspace/termends
% 0.44/1.17
% 0.44/1.17 Clauses:
% 0.44/1.17
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.44/1.17 { ssItem( skol1 ) }.
% 0.44/1.17 { ssItem( skol47 ) }.
% 0.44/1.17 { ! skol1 = skol47 }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.44/1.17 }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.44/1.17 Y ) ) }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.44/1.17 ( X, Y ) }.
% 0.44/1.17 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.44/1.17 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.44/1.17 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.44/1.17 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.44/1.17 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.44/1.17 ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.44/1.17 ) = X }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.44/1.17 ( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.44/1.17 }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.44/1.17 = X }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.44/1.17 ( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.44/1.17 }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.44/1.17 , Y ) ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.44/1.17 segmentP( X, Y ) }.
% 0.44/1.17 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.44/1.17 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.44/1.17 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.44/1.17 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.44/1.17 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.44/1.17 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.44/1.17 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.44/1.17 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.44/1.17 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.44/1.17 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.44/1.17 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.44/1.17 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.44/1.17 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.44/1.17 .
% 0.44/1.17 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.44/1.17 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.44/1.17 , U ) }.
% 0.44/1.17 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.17 ) ) = X, alpha12( Y, Z ) }.
% 0.44/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.44/1.17 W ) }.
% 0.44/1.17 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.44/1.17 { leq( X, Y ), alpha12( X, Y ) }.
% 0.44/1.17 { leq( Y, X ), alpha12( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.44/1.17 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.44/1.17 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.44/1.17 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.44/1.17 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.44/1.17 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.44/1.17 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.44/1.17 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.44/1.17 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.44/1.17 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.44/1.17 .
% 0.44/1.17 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.44/1.17 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.44/1.17 , U ) }.
% 0.44/1.17 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.17 ) ) = X, alpha13( Y, Z ) }.
% 0.44/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.44/1.17 W ) }.
% 0.44/1.17 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.44/1.17 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.44/1.17 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.44/1.17 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.44/1.17 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.44/1.17 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.44/1.17 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.44/1.17 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.44/1.17 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.44/1.17 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.44/1.17 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.44/1.17 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.44/1.17 .
% 0.44/1.17 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.44/1.17 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.44/1.17 , U ) }.
% 0.44/1.17 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.17 ) ) = X, alpha14( Y, Z ) }.
% 0.44/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.44/1.17 W ) }.
% 0.44/1.17 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.44/1.17 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.44/1.17 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.44/1.17 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.44/1.17 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.44/1.17 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.44/1.17 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.44/1.17 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.44/1.17 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.44/1.17 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.44/1.17 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.44/1.17 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.44/1.17 .
% 0.44/1.17 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.44/1.17 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.44/1.17 , U ) }.
% 0.44/1.17 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.17 ) ) = X, leq( Y, Z ) }.
% 0.44/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.44/1.17 W ) }.
% 0.44/1.17 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.44/1.17 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.44/1.17 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.44/1.17 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.44/1.17 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.44/1.17 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.44/1.17 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.44/1.17 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.44/1.17 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.44/1.17 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.44/1.17 .
% 0.44/1.17 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.44/1.17 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.44/1.17 , U ) }.
% 0.44/1.17 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.17 ) ) = X, lt( Y, Z ) }.
% 0.44/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.44/1.17 W ) }.
% 0.44/1.17 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.44/1.17 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.44/1.17 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.44/1.17 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.44/1.17 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.44/1.17 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.44/1.17 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.44/1.17 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.44/1.17 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.44/1.17 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.44/1.17 .
% 0.44/1.17 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.44/1.17 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.44/1.17 , U ) }.
% 0.44/1.17 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.17 ) ) = X, ! Y = Z }.
% 0.44/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.44/1.17 W ) }.
% 0.44/1.17 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.44/1.17 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.44/1.17 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.44/1.17 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.44/1.17 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.44/1.17 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.44/1.17 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.44/1.17 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.44/1.17 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.44/1.17 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.44/1.17 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.44/1.17 Z }.
% 0.44/1.17 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.44/1.17 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.44/1.17 { ssList( nil ) }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.44/1.17 ) = cons( T, Y ), Z = T }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.44/1.17 ) = cons( T, Y ), Y = X }.
% 0.44/1.17 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.44/1.17 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.44/1.17 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.44/1.17 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.44/1.17 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.44/1.17 ( cons( Z, Y ), X ) }.
% 0.44/1.17 { ! ssList( X ), app( nil, X ) = X }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.44/1.17 , leq( X, Z ) }.
% 0.44/1.17 { ! ssItem( X ), leq( X, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.44/1.17 lt( X, Z ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.44/1.17 , memberP( Y, X ), memberP( Z, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.44/1.17 app( Y, Z ), X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.44/1.17 app( Y, Z ), X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.44/1.17 , X = Y, memberP( Z, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.44/1.17 ), X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.44/1.17 cons( Y, Z ), X ) }.
% 0.44/1.17 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.44/1.17 { ! singletonP( nil ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.44/1.17 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.44/1.17 = Y }.
% 0.44/1.17 { ! ssList( X ), frontsegP( X, X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.44/1.17 frontsegP( app( X, Z ), Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.44/1.17 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.44/1.17 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.44/1.17 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.44/1.17 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.44/1.17 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.44/1.17 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.44/1.17 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.44/1.17 Y }.
% 0.44/1.17 { ! ssList( X ), rearsegP( X, X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.44/1.17 ( app( Z, X ), Y ) }.
% 0.44/1.17 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.44/1.17 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.44/1.17 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.44/1.17 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.44/1.17 Y }.
% 0.44/1.17 { ! ssList( X ), segmentP( X, X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.44/1.17 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.44/1.17 { ! ssList( X ), segmentP( X, nil ) }.
% 0.44/1.17 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.44/1.17 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.44/1.17 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.44/1.17 { cyclefreeP( nil ) }.
% 0.44/1.17 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.44/1.17 { totalorderP( nil ) }.
% 0.44/1.17 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.44/1.17 { strictorderP( nil ) }.
% 0.44/1.17 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.44/1.17 { totalorderedP( nil ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.44/1.17 alpha10( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.44/1.17 .
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.44/1.17 Y ) ) }.
% 0.44/1.17 { ! alpha10( X, Y ), ! nil = Y }.
% 0.44/1.17 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.44/1.17 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.44/1.17 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.44/1.17 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.44/1.17 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.44/1.17 { strictorderedP( nil ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.44/1.17 alpha11( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.44/1.17 .
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.44/1.17 , Y ) ) }.
% 0.44/1.17 { ! alpha11( X, Y ), ! nil = Y }.
% 0.44/1.17 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.44/1.17 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.44/1.17 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.44/1.17 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.44/1.17 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.44/1.17 { duplicatefreeP( nil ) }.
% 0.44/1.17 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.44/1.17 { equalelemsP( nil ) }.
% 0.44/1.17 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.44/1.17 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.44/1.17 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.44/1.17 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.44/1.17 ( Y ) = tl( X ), Y = X }.
% 0.44/1.17 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.44/1.17 , Z = X }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.44/1.17 , Z = X }.
% 0.44/1.17 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.44/1.17 ( X, app( Y, Z ) ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.44/1.17 { ! ssList( X ), app( X, nil ) = X }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.44/1.17 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.44/1.17 Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.44/1.17 , geq( X, Z ) }.
% 0.44/1.17 { ! ssItem( X ), geq( X, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! lt( X, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.44/1.17 , lt( X, Z ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.44/1.17 gt( X, Z ) }.
% 0.44/1.17 { ssList( skol46 ) }.
% 0.44/1.17 { ssList( skol49 ) }.
% 0.44/1.17 { ssList( skol50 ) }.
% 0.44/1.17 { ssList( skol51 ) }.
% 0.44/1.17 { skol49 = skol51 }.
% 0.44/1.17 { skol46 = skol50 }.
% 0.44/1.17 { ssList( skol52 ) }.
% 0.44/1.17 { app( skol50, skol52 ) = skol51 }.
% 0.44/1.17 { totalorderedP( skol50 ) }.
% 0.44/1.17 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol52, !
% 0.44/1.17 ssItem( Z ), ! ssList( T ), ! app( T, cons( Z, nil ) ) = skol50, ! leq( Z
% 0.44/1.17 , X ) }.
% 0.44/1.17 { ! segmentP( skol49, skol46 ) }.
% 0.44/1.17 { nil = skol51, ! nil = skol50 }.
% 0.44/1.17
% 0.44/1.17 *** allocated 15000 integers for clauses
% 0.44/1.17 percentage equality = 0.132075, percentage horn = 0.763066
% 0.44/1.17 This is a problem with some equality
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 Options Used:
% 0.44/1.17
% 0.44/1.17 useres = 1
% 0.44/1.17 useparamod = 1
% 0.44/1.17 useeqrefl = 1
% 0.44/1.17 useeqfact = 1
% 0.44/1.17 usefactor = 1
% 0.44/1.17 usesimpsplitting = 0
% 0.44/1.17 usesimpdemod = 5
% 0.44/1.17 usesimpres = 3
% 0.44/1.17
% 0.44/1.17 resimpinuse = 1000
% 0.44/1.17 resimpclauses = 20000
% 0.44/1.17 substype = eqrewr
% 0.44/1.17 backwardsubs = 1
% 0.44/1.17 selectoldest = 5
% 0.44/1.17
% 0.44/1.17 litorderings [0] = split
% 0.44/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.17
% 0.44/1.17 termordering = kbo
% 0.44/1.17
% 0.44/1.17 litapriori = 0
% 0.44/1.17 termapriori = 1
% 0.44/1.17 litaposteriori = 0
% 0.44/1.17 termaposteriori = 0
% 0.44/1.17 demodaposteriori = 0
% 0.44/1.17 ordereqreflfact = 0
% 0.44/1.17
% 0.44/1.17 litselect = negord
% 0.44/1.17
% 0.44/1.17 maxweight = 15
% 0.44/1.17 maxdepth = 30000
% 0.44/1.17 maxlength = 115
% 0.44/1.17 maxnrvars = 195
% 0.44/1.17 excuselevel = 1
% 0.44/1.17 increasemaxweight = 1
% 0.44/1.17
% 0.44/1.17 maxselected = 10000000
% 0.44/1.17 maxnrclauses = 10000000
% 0.44/1.17
% 0.44/1.17 showgenerated = 0
% 0.44/1.17 showkept = 0
% 0.44/1.17 showselected = 0
% 0.44/1.17 showdeleted = 0
% 0.44/1.17 showresimp = 1
% 0.44/1.17 showstatus = 2000
% 0.44/1.17
% 0.44/1.17 prologoutput = 0
% 0.44/1.17 nrgoals = 5000000
% 0.44/1.17 totalproof = 1
% 0.44/1.17
% 0.44/1.17 Symbols occurring in the translation:
% 0.44/1.17
% 0.44/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.17 . [1, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.44/1.17 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.44/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.17 ssItem [36, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.44/1.17 neq [38, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.44/1.17 ssList [39, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.44/1.17 memberP [40, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.44/1.17 cons [43, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.44/1.17 app [44, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.44/1.17 singletonP [45, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.44/1.17 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.60/2.03 frontsegP [47, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.60/2.03 rearsegP [48, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.60/2.03 segmentP [49, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.60/2.03 cyclefreeP [50, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.60/2.03 leq [53, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.60/2.03 totalorderP [54, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.60/2.03 strictorderP [55, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.60/2.03 lt [56, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.60/2.03 totalorderedP [57, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.60/2.03 strictorderedP [58, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.60/2.03 duplicatefreeP [59, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.60/2.03 equalelemsP [60, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.60/2.03 hd [61, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.60/2.03 tl [62, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.60/2.03 geq [63, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.60/2.03 gt [64, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.60/2.03 alpha1 [68, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.60/2.03 alpha2 [69, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.60/2.03 alpha3 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.60/2.03 alpha4 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.60/2.03 alpha5 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.60/2.03 alpha6 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.60/2.03 alpha7 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.60/2.03 alpha8 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.60/2.03 alpha9 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.60/2.03 alpha10 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.60/2.03 alpha11 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.60/2.03 alpha12 [79, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.60/2.03 alpha13 [80, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.60/2.03 alpha14 [81, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.60/2.03 alpha15 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.60/2.03 alpha16 [83, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.60/2.03 alpha17 [84, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.60/2.03 alpha18 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.60/2.03 alpha19 [86, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.60/2.03 alpha20 [87, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.60/2.03 alpha21 [88, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.60/2.03 alpha22 [89, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.60/2.03 alpha23 [90, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.60/2.03 alpha24 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.60/2.03 alpha25 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.60/2.03 alpha26 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.60/2.03 alpha27 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.60/2.03 alpha28 [95, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.60/2.03 alpha29 [96, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.60/2.03 alpha30 [97, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.60/2.03 alpha31 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.60/2.03 alpha32 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.60/2.03 alpha33 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.60/2.03 alpha34 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.60/2.03 alpha35 [102, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.60/2.03 alpha36 [103, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.60/2.03 alpha37 [104, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.60/2.03 alpha38 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.60/2.03 alpha39 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.60/2.03 alpha40 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.60/2.03 alpha41 [108, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.60/2.03 alpha42 [109, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.60/2.03 alpha43 [110, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.60/2.03 skol1 [111, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.60/2.03 skol2 [112, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.60/2.03 skol3 [113, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.60/2.03 skol4 [114, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.60/2.03 skol5 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.60/2.03 skol6 [116, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.60/2.03 skol7 [117, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.60/2.03 skol8 [118, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.60/2.03 skol9 [119, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.60/2.03 skol10 [120, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.60/2.03 skol11 [121, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.60/2.03 skol12 [122, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.60/2.03 skol13 [123, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.60/2.03 skol14 [124, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.60/2.03 skol15 [125, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.60/2.03 skol16 [126, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.60/2.03 skol17 [127, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.60/2.03 skol18 [128, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.60/2.03 skol19 [129, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.60/2.03 skol20 [130, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.60/2.03 skol21 [131, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.77/2.16 skol22 [132, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.77/2.16 skol23 [133, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.77/2.16 skol24 [134, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.77/2.16 skol25 [135, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.77/2.16 skol26 [136, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.77/2.16 skol27 [137, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.77/2.16 skol28 [138, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.77/2.16 skol29 [139, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.77/2.16 skol30 [140, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.77/2.16 skol31 [141, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.77/2.16 skol32 [142, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.77/2.16 skol33 [143, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.77/2.16 skol34 [144, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.77/2.16 skol35 [145, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.77/2.16 skol36 [146, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.77/2.16 skol37 [147, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.77/2.16 skol38 [148, 5] (w:1, o:156, a:1, s:1, b:1),
% 1.77/2.16 skol39 [149, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.77/2.16 skol40 [150, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.77/2.16 skol41 [151, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.77/2.16 skol42 [152, 4] (w:1, o:143, a:1, s:1, b:1),
% 1.77/2.16 skol43 [153, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.77/2.16 skol44 [154, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.77/2.16 skol45 [155, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.77/2.16 skol46 [156, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.77/2.16 skol47 [157, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.77/2.16 skol48 [158, 1] (w:1, o:45, a:1, s:1, b:1),
% 1.77/2.16 skol49 [159, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.77/2.16 skol50 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.77/2.16 skol51 [161, 0] (w:1, o:21, a:1, s:1, b:1),
% 1.77/2.16 skol52 [162, 0] (w:1, o:22, a:1, s:1, b:1).
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Starting Search:
% 1.77/2.16
% 1.77/2.16 *** allocated 22500 integers for clauses
% 1.77/2.16 *** allocated 33750 integers for clauses
% 1.77/2.16 *** allocated 50625 integers for clauses
% 1.77/2.16 *** allocated 22500 integers for termspace/termends
% 1.77/2.16 *** allocated 75937 integers for clauses
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 33750 integers for termspace/termends
% 1.77/2.16 *** allocated 113905 integers for clauses
% 1.77/2.16 *** allocated 50625 integers for termspace/termends
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 3721
% 1.77/2.16 Kept: 2002
% 1.77/2.16 Inuse: 219
% 1.77/2.16 Deleted: 7
% 1.77/2.16 Deletedinuse: 0
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 170857 integers for clauses
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 75937 integers for termspace/termends
% 1.77/2.16 *** allocated 256285 integers for clauses
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 7063
% 1.77/2.16 Kept: 4021
% 1.77/2.16 Inuse: 359
% 1.77/2.16 Deleted: 11
% 1.77/2.16 Deletedinuse: 4
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 113905 integers for termspace/termends
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 384427 integers for clauses
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 10728
% 1.77/2.16 Kept: 6052
% 1.77/2.16 Inuse: 489
% 1.77/2.16 Deleted: 13
% 1.77/2.16 Deletedinuse: 6
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 170857 integers for termspace/termends
% 1.77/2.16 *** allocated 576640 integers for clauses
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 14077
% 1.77/2.16 Kept: 8095
% 1.77/2.16 Inuse: 589
% 1.77/2.16 Deleted: 15
% 1.77/2.16 Deletedinuse: 8
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 18852
% 1.77/2.16 Kept: 11184
% 1.77/2.16 Inuse: 674
% 1.77/2.16 Deleted: 17
% 1.77/2.16 Deletedinuse: 10
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 256285 integers for termspace/termends
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 864960 integers for clauses
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 23690
% 1.77/2.16 Kept: 13249
% 1.77/2.16 Inuse: 744
% 1.77/2.16 Deleted: 22
% 1.77/2.16 Deletedinuse: 15
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 32448
% 1.77/2.16 Kept: 15349
% 1.77/2.16 Inuse: 779
% 1.77/2.16 Deleted: 26
% 1.77/2.16 Deletedinuse: 19
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 384427 integers for termspace/termends
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 40231
% 1.77/2.16 Kept: 17432
% 1.77/2.16 Inuse: 837
% 1.77/2.16 Deleted: 60
% 1.77/2.16 Deletedinuse: 51
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 *** allocated 1297440 integers for clauses
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 49687
% 1.77/2.16 Kept: 19669
% 1.77/2.16 Inuse: 904
% 1.77/2.16 Deleted: 72
% 1.77/2.16 Deletedinuse: 55
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 Resimplifying clauses:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 59040
% 1.77/2.16 Kept: 21679
% 1.77/2.16 Inuse: 933
% 1.77/2.16 Deleted: 1955
% 1.77/2.16 Deletedinuse: 56
% 1.77/2.16
% 1.77/2.16 *** allocated 576640 integers for termspace/termends
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16 Resimplifying inuse:
% 1.77/2.16 Done
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Intermediate Status:
% 1.77/2.16 Generated: 68913
% 1.77/2.16 Kept: 23739
% 1.77/2.16 Inuse: 962
% 1.77/2.16 Deleted: 1957
% 1.77/2.16 Deletedinuse: 56
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Bliksems!, er is een bewijs:
% 1.77/2.16 % SZS status Theorem
% 1.77/2.16 % SZS output start Refutation
% 1.77/2.16
% 1.77/2.16 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 1.77/2.16 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.77/2.16 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 1.77/2.16 alpha2( X, Y, Z ) }.
% 1.77/2.16 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.77/2.16 (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==> X }.
% 1.77/2.16 (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.77/2.16 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.77/2.16 (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X ) }.
% 1.77/2.16 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.77/2.16 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.77/2.16 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.77/2.16 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.77/2.16 (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.77/2.16 (282) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46, skol52 ) ==>
% 1.77/2.16 skol49 }.
% 1.77/2.16 (285) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 1.77/2.16 (495) {G1,W3,D2,L1,V0,M1} R(212,281) { segmentP( skol52, skol52 ) }.
% 1.77/2.16 (879) {G1,W8,D2,L3,V1,M3} R(22,285);r(276) { ! ssList( skol46 ), ! ssList(
% 1.77/2.16 X ), ! alpha2( skol49, skol46, X ) }.
% 1.77/2.16 (17059) {G1,W5,D3,L1,V0,M1} R(175,275) { app( nil, skol46 ) ==> skol46 }.
% 1.77/2.16 (20680) {G2,W6,D2,L2,V1,M2} S(879);r(275) { ! ssList( X ), ! alpha2( skol49
% 1.77/2.16 , skol46, X ) }.
% 1.77/2.16 (23333) {G3,W4,D2,L1,V0,M1} R(20680,161) { ! alpha2( skol49, skol46, nil )
% 1.77/2.16 }.
% 1.77/2.16 (23337) {G4,W7,D3,L2,V1,M2} R(23333,25);d(17059) { ! ssList( X ), ! app(
% 1.77/2.16 skol46, X ) ==> skol49 }.
% 1.77/2.16 (23677) {G5,W10,D2,L4,V1,M4} P(211,282);r(23337) { ! ssList( skol52 ), !
% 1.77/2.16 ssList( X ), ! segmentP( skol52, X ), ! segmentP( X, skol52 ) }.
% 1.77/2.16 (23728) {G6,W3,D2,L1,V0,M1} F(23677);f;r(281) { ! segmentP( skol52, skol52
% 1.77/2.16 ) }.
% 1.77/2.16 (23739) {G7,W0,D0,L0,V0,M0} S(23728);r(495) { }.
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 % SZS output end Refutation
% 1.77/2.16 found a proof!
% 1.77/2.16
% 1.77/2.16
% 1.77/2.16 Unprocessed initial clauses:
% 1.77/2.16
% 1.77/2.16 (23741) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.77/2.16 , ! X = Y }.
% 1.77/2.16 (23742) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.77/2.16 , Y ) }.
% 1.77/2.16 (23743) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.77/2.16 (23744) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.77/2.16 (23745) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.77/2.16 (23746) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.77/2.16 , Y ), ssList( skol2( Z, T ) ) }.
% 1.77/2.16 (23747) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.77/2.16 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.77/2.16 (23748) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.77/2.16 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.77/2.16 (23749) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.77/2.16 ) ) }.
% 1.77/2.16 (23750) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.77/2.16 ( X, Y, Z ) ) ) = X }.
% 1.77/2.17 (23751) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.77/2.17 , alpha1( X, Y, Z ) }.
% 1.77/2.17 (23752) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.77/2.17 skol4( Y ) ) }.
% 1.77/2.17 (23753) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.77/2.17 skol4( X ), nil ) = X }.
% 1.77/2.17 (23754) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.77/2.17 nil ) = X, singletonP( X ) }.
% 1.77/2.17 (23755) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.77/2.17 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.77/2.17 (23756) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.77/2.17 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.77/2.17 (23757) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.77/2.17 (23758) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.77/2.17 , Y ), ssList( skol6( Z, T ) ) }.
% 1.77/2.17 (23759) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.77/2.17 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.77/2.17 (23760) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.77/2.17 (23761) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.77/2.17 , Y ), ssList( skol7( Z, T ) ) }.
% 1.77/2.17 (23762) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.77/2.17 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.77/2.17 (23763) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.77/2.17 (23764) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.77/2.17 ) ) }.
% 1.77/2.17 (23765) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.77/2.17 skol8( X, Y, Z ) ) = X }.
% 1.77/2.17 (23766) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.77/2.17 , alpha2( X, Y, Z ) }.
% 1.77/2.17 (23767) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.77/2.17 Y ), alpha3( X, Y ) }.
% 1.77/2.17 (23768) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.77/2.17 cyclefreeP( X ) }.
% 1.77/2.17 (23769) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.77/2.17 cyclefreeP( X ) }.
% 1.77/2.17 (23770) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.77/2.17 , Y, Z ) }.
% 1.77/2.17 (23771) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.77/2.17 (23772) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.77/2.17 , Y ) }.
% 1.77/2.17 (23773) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.77/2.17 alpha28( X, Y, Z, T ) }.
% 1.77/2.17 (23774) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (23775) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.77/2.17 alpha21( X, Y, Z ) }.
% 1.77/2.17 (23776) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.77/2.17 alpha35( X, Y, Z, T, U ) }.
% 1.77/2.17 (23777) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.77/2.17 X, Y, Z, T ) }.
% 1.77/2.17 (23778) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.77/2.17 ), alpha28( X, Y, Z, T ) }.
% 1.77/2.17 (23779) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.77/2.17 alpha41( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23780) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.77/2.17 alpha35( X, Y, Z, T, U ) }.
% 1.77/2.17 (23781) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.77/2.17 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.77/2.17 (23782) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.77/2.17 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.77/2.17 (23783) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.77/2.17 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23784) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.77/2.17 W ) }.
% 1.77/2.17 (23785) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.77/2.17 X ) }.
% 1.77/2.17 (23786) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.77/2.17 (23787) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.77/2.17 (23788) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.77/2.17 ( Y ), alpha4( X, Y ) }.
% 1.77/2.17 (23789) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.77/2.17 totalorderP( X ) }.
% 1.77/2.17 (23790) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.77/2.17 totalorderP( X ) }.
% 1.77/2.17 (23791) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.77/2.17 , Y, Z ) }.
% 1.77/2.17 (23792) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.77/2.17 (23793) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.77/2.17 , Y ) }.
% 1.77/2.17 (23794) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.77/2.17 alpha29( X, Y, Z, T ) }.
% 1.77/2.17 (23795) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (23796) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.77/2.17 alpha22( X, Y, Z ) }.
% 1.77/2.17 (23797) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.77/2.17 alpha36( X, Y, Z, T, U ) }.
% 1.77/2.17 (23798) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.77/2.17 X, Y, Z, T ) }.
% 1.77/2.17 (23799) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.77/2.17 ), alpha29( X, Y, Z, T ) }.
% 1.77/2.17 (23800) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.77/2.17 alpha42( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23801) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.77/2.17 alpha36( X, Y, Z, T, U ) }.
% 1.77/2.17 (23802) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.77/2.17 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.77/2.17 (23803) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.77/2.17 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.77/2.17 (23804) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.77/2.17 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23805) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.77/2.17 W ) }.
% 1.77/2.17 (23806) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.77/2.17 }.
% 1.77/2.17 (23807) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.77/2.17 (23808) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.77/2.17 (23809) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.77/2.17 ( Y ), alpha5( X, Y ) }.
% 1.77/2.17 (23810) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.77/2.17 strictorderP( X ) }.
% 1.77/2.17 (23811) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.77/2.17 strictorderP( X ) }.
% 1.77/2.17 (23812) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.77/2.17 , Y, Z ) }.
% 1.77/2.17 (23813) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.77/2.17 (23814) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.77/2.17 , Y ) }.
% 1.77/2.17 (23815) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.77/2.17 alpha30( X, Y, Z, T ) }.
% 1.77/2.17 (23816) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (23817) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.77/2.17 alpha23( X, Y, Z ) }.
% 1.77/2.17 (23818) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.77/2.17 alpha37( X, Y, Z, T, U ) }.
% 1.77/2.17 (23819) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.77/2.17 X, Y, Z, T ) }.
% 1.77/2.17 (23820) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.77/2.17 ), alpha30( X, Y, Z, T ) }.
% 1.77/2.17 (23821) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.77/2.17 alpha43( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23822) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.77/2.17 alpha37( X, Y, Z, T, U ) }.
% 1.77/2.17 (23823) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.77/2.17 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.77/2.17 (23824) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.77/2.17 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.77/2.17 (23825) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.77/2.17 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23826) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.77/2.17 W ) }.
% 1.77/2.17 (23827) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.77/2.17 }.
% 1.77/2.17 (23828) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.77/2.17 (23829) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.77/2.17 (23830) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.77/2.17 ssItem( Y ), alpha6( X, Y ) }.
% 1.77/2.17 (23831) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.77/2.17 totalorderedP( X ) }.
% 1.77/2.17 (23832) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.77/2.17 totalorderedP( X ) }.
% 1.77/2.17 (23833) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.77/2.17 , Y, Z ) }.
% 1.77/2.17 (23834) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.77/2.17 (23835) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.77/2.17 , Y ) }.
% 1.77/2.17 (23836) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.77/2.17 alpha24( X, Y, Z, T ) }.
% 1.77/2.17 (23837) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (23838) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.77/2.17 alpha15( X, Y, Z ) }.
% 1.77/2.17 (23839) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.77/2.17 alpha31( X, Y, Z, T, U ) }.
% 1.77/2.17 (23840) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.77/2.17 X, Y, Z, T ) }.
% 1.77/2.17 (23841) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.77/2.17 ), alpha24( X, Y, Z, T ) }.
% 1.77/2.17 (23842) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.77/2.17 alpha38( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23843) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.77/2.17 alpha31( X, Y, Z, T, U ) }.
% 1.77/2.17 (23844) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.77/2.17 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.77/2.17 (23845) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.77/2.17 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.77/2.17 (23846) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.77/2.17 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23847) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.77/2.17 }.
% 1.77/2.17 (23848) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.77/2.17 ssItem( Y ), alpha7( X, Y ) }.
% 1.77/2.17 (23849) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.77/2.17 strictorderedP( X ) }.
% 1.77/2.17 (23850) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.77/2.17 strictorderedP( X ) }.
% 1.77/2.17 (23851) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.77/2.17 , Y, Z ) }.
% 1.77/2.17 (23852) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.77/2.17 (23853) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.77/2.17 , Y ) }.
% 1.77/2.17 (23854) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.77/2.17 alpha25( X, Y, Z, T ) }.
% 1.77/2.17 (23855) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (23856) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.77/2.17 alpha16( X, Y, Z ) }.
% 1.77/2.17 (23857) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.77/2.17 alpha32( X, Y, Z, T, U ) }.
% 1.77/2.17 (23858) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.77/2.17 X, Y, Z, T ) }.
% 1.77/2.17 (23859) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.77/2.17 ), alpha25( X, Y, Z, T ) }.
% 1.77/2.17 (23860) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.77/2.17 alpha39( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23861) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.77/2.17 alpha32( X, Y, Z, T, U ) }.
% 1.77/2.17 (23862) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.77/2.17 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.77/2.17 (23863) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.77/2.17 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.77/2.17 (23864) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.77/2.17 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23865) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.77/2.17 }.
% 1.77/2.17 (23866) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.77/2.17 ssItem( Y ), alpha8( X, Y ) }.
% 1.77/2.17 (23867) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.77/2.17 duplicatefreeP( X ) }.
% 1.77/2.17 (23868) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.77/2.17 duplicatefreeP( X ) }.
% 1.77/2.17 (23869) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.77/2.17 , Y, Z ) }.
% 1.77/2.17 (23870) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.77/2.17 (23871) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.77/2.17 , Y ) }.
% 1.77/2.17 (23872) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.77/2.17 alpha26( X, Y, Z, T ) }.
% 1.77/2.17 (23873) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (23874) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.77/2.17 alpha17( X, Y, Z ) }.
% 1.77/2.17 (23875) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.77/2.17 alpha33( X, Y, Z, T, U ) }.
% 1.77/2.17 (23876) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.77/2.17 X, Y, Z, T ) }.
% 1.77/2.17 (23877) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.77/2.17 ), alpha26( X, Y, Z, T ) }.
% 1.77/2.17 (23878) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.77/2.17 alpha40( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23879) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.77/2.17 alpha33( X, Y, Z, T, U ) }.
% 1.77/2.17 (23880) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.77/2.17 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.77/2.17 (23881) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.77/2.17 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.77/2.17 (23882) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.77/2.17 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23883) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.77/2.17 (23884) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.77/2.17 ( Y ), alpha9( X, Y ) }.
% 1.77/2.17 (23885) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.77/2.17 equalelemsP( X ) }.
% 1.77/2.17 (23886) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.77/2.17 equalelemsP( X ) }.
% 1.77/2.17 (23887) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.77/2.17 , Y, Z ) }.
% 1.77/2.17 (23888) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.77/2.17 (23889) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.77/2.17 , Y ) }.
% 1.77/2.17 (23890) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.77/2.17 alpha27( X, Y, Z, T ) }.
% 1.77/2.17 (23891) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (23892) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.77/2.17 alpha18( X, Y, Z ) }.
% 1.77/2.17 (23893) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.77/2.17 alpha34( X, Y, Z, T, U ) }.
% 1.77/2.17 (23894) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.77/2.17 X, Y, Z, T ) }.
% 1.77/2.17 (23895) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.77/2.17 ), alpha27( X, Y, Z, T ) }.
% 1.77/2.17 (23896) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.77/2.17 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.77/2.17 (23897) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.77/2.17 alpha34( X, Y, Z, T, U ) }.
% 1.77/2.17 (23898) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.77/2.17 (23899) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.77/2.17 , ! X = Y }.
% 1.77/2.17 (23900) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.77/2.17 , Y ) }.
% 1.77/2.17 (23901) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.77/2.17 Y, X ) ) }.
% 1.77/2.17 (23902) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.77/2.17 (23903) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.77/2.17 = X }.
% 1.77/2.17 (23904) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.77/2.17 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.77/2.17 (23905) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.77/2.17 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.77/2.17 (23906) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.77/2.17 ) }.
% 1.77/2.17 (23907) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.77/2.17 ) }.
% 1.77/2.17 (23908) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.77/2.17 skol43( X ) ) = X }.
% 1.77/2.17 (23909) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.77/2.17 Y, X ) }.
% 1.77/2.17 (23910) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.77/2.17 }.
% 1.77/2.17 (23911) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.77/2.17 X ) ) = Y }.
% 1.77/2.17 (23912) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.77/2.17 }.
% 1.77/2.17 (23913) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.77/2.17 X ) ) = X }.
% 1.77/2.17 (23914) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.77/2.17 , Y ) ) }.
% 1.77/2.17 (23915) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.77/2.17 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.77/2.17 (23916) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.77/2.17 (23917) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.77/2.17 , ! leq( Y, X ), X = Y }.
% 1.77/2.17 (23918) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.77/2.17 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.77/2.17 (23919) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.77/2.17 (23920) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.77/2.17 , leq( Y, X ) }.
% 1.77/2.17 (23921) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.77/2.17 , geq( X, Y ) }.
% 1.77/2.17 (23922) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.77/2.17 , ! lt( Y, X ) }.
% 1.77/2.17 (23923) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.77/2.17 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.77/2.17 (23924) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.77/2.17 , lt( Y, X ) }.
% 1.77/2.17 (23925) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.77/2.17 , gt( X, Y ) }.
% 1.77/2.17 (23926) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.77/2.17 (23927) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.77/2.17 (23928) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.77/2.17 (23929) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.77/2.17 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.77/2.17 (23930) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.77/2.17 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.77/2.17 (23931) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.77/2.17 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.77/2.17 (23932) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.77/2.17 (23933) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.77/2.17 (23934) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.77/2.17 (23935) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.77/2.17 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.77/2.17 (23936) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.77/2.17 (23937) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.77/2.17 (23938) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.77/2.17 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.77/2.17 (23939) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.77/2.17 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.77/2.17 , T ) }.
% 1.77/2.17 (23940) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.77/2.17 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.77/2.17 cons( Y, T ) ) }.
% 1.77/2.17 (23941) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.77/2.17 (23942) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.77/2.17 X }.
% 1.77/2.17 (23943) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.77/2.17 ) }.
% 1.77/2.17 (23944) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.77/2.17 (23945) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.77/2.17 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.77/2.17 (23946) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.77/2.17 (23947) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.77/2.17 (23948) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.77/2.17 (23949) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.77/2.17 }.
% 1.77/2.17 (23950) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.77/2.17 }.
% 1.77/2.17 (23951) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.77/2.17 (23952) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.77/2.17 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.77/2.17 (23953) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.77/2.17 (23954) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.77/2.17 }.
% 1.77/2.17 (23955) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.77/2.17 (23956) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.77/2.17 }.
% 1.77/2.17 (23957) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.77/2.17 }.
% 1.77/2.17 (23958) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.77/2.17 }.
% 1.77/2.17 (23959) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.77/2.17 (23960) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.77/2.17 }.
% 1.77/2.17 (23961) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.77/2.17 (23962) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.77/2.17 ) }.
% 1.77/2.17 (23963) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.77/2.17 (23964) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.77/2.17 ) }.
% 1.77/2.17 (23965) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.77/2.17 (23966) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.77/2.17 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.77/2.17 (23967) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.77/2.17 totalorderedP( cons( X, Y ) ) }.
% 1.77/2.17 (23968) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.77/2.17 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.77/2.17 (23969) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.77/2.17 (23970) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.77/2.17 (23971) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.77/2.17 }.
% 1.77/2.17 (23972) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.77/2.17 (23973) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.77/2.17 (23974) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.77/2.17 alpha19( X, Y ) }.
% 1.77/2.17 (23975) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.77/2.17 ) ) }.
% 1.77/2.17 (23976) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.77/2.17 (23977) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.77/2.17 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.77/2.17 (23978) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.77/2.17 strictorderedP( cons( X, Y ) ) }.
% 1.77/2.17 (23979) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.77/2.17 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.77/2.17 (23980) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.77/2.17 (23981) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.77/2.17 (23982) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.77/2.17 }.
% 1.77/2.17 (23983) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.77/2.17 (23984) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.77/2.17 (23985) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.77/2.17 alpha20( X, Y ) }.
% 1.77/2.17 (23986) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.77/2.17 ) ) }.
% 1.77/2.17 (23987) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.77/2.17 (23988) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.77/2.17 }.
% 1.77/2.17 (23989) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.77/2.17 (23990) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.77/2.17 ) }.
% 1.77/2.17 (23991) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.77/2.17 ) }.
% 1.77/2.17 (23992) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.77/2.17 ) }.
% 1.77/2.17 (23993) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.77/2.17 ) }.
% 1.77/2.17 (23994) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.77/2.17 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.77/2.17 (23995) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.77/2.17 X ) ) = X }.
% 1.77/2.17 (23996) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.77/2.17 (23997) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.77/2.17 (23998) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.77/2.17 = app( cons( Y, nil ), X ) }.
% 1.77/2.17 (23999) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.77/2.17 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.77/2.17 (24000) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.77/2.17 X, Y ), nil = Y }.
% 1.77/2.17 (24001) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.77/2.17 X, Y ), nil = X }.
% 1.77/2.17 (24002) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.77/2.17 nil = X, nil = app( X, Y ) }.
% 1.77/2.17 (24003) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.77/2.17 (24004) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.77/2.17 app( X, Y ) ) = hd( X ) }.
% 1.77/2.17 (24005) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.77/2.17 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.77/2.17 (24006) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.77/2.17 , ! geq( Y, X ), X = Y }.
% 1.77/2.17 (24007) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.77/2.17 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.77/2.17 (24008) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.77/2.17 (24009) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.77/2.17 (24010) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.77/2.17 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.77/2.17 (24011) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.77/2.17 , X = Y, lt( X, Y ) }.
% 1.77/2.17 (24012) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.77/2.17 , ! X = Y }.
% 1.77/2.17 (24013) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.77/2.17 , leq( X, Y ) }.
% 1.77/2.17 (24014) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.77/2.17 ( X, Y ), lt( X, Y ) }.
% 1.77/2.17 (24015) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.77/2.18 , ! gt( Y, X ) }.
% 1.77/2.18 (24016) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.77/2.18 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.77/2.18 (24017) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.77/2.18 (24018) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.77/2.18 (24019) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.77/2.18 (24020) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.77/2.18 (24021) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.77/2.18 (24022) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.77/2.18 (24023) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.77/2.18 (24024) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) = skol51 }.
% 1.77/2.18 (24025) {G0,W2,D2,L1,V0,M1} { totalorderedP( skol50 ) }.
% 1.77/2.18 (24026) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 1.77/2.18 X, nil ), Y ) = skol52, ! ssItem( Z ), ! ssList( T ), ! app( T, cons( Z,
% 1.77/2.18 nil ) ) = skol50, ! leq( Z, X ) }.
% 1.77/2.18 (24027) {G0,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 1.77/2.18 (24028) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 1.77/2.18
% 1.77/2.18
% 1.77/2.18 Total Proof:
% 1.77/2.18
% 1.77/2.18 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.77/2.18 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.77/2.18 parent0: (23763) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.77/2.18 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 3 ==> 3
% 1.77/2.18 4 ==> 4
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 1.77/2.18 ), T ) = X, alpha2( X, Y, Z ) }.
% 1.77/2.18 parent0: (23766) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 1.77/2.18 , T ) = X, alpha2( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.77/2.18 parent0: (23902) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==>
% 1.77/2.18 X }.
% 1.77/2.18 parent0: (23916) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (211) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.77/2.18 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 1.77/2.18 parent0: (23952) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.77/2.18 segmentP( X, Y ), ! segmentP( Y, X ), X = Y }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 3 ==> 3
% 1.77/2.18 4 ==> 4
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 1.77/2.18 }.
% 1.77/2.18 parent0: (23953) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.77/2.18 parent0: (24017) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.77/2.18 parent0: (24018) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 eqswap: (25683) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.77/2.18 parent0[0]: (24021) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.77/2.18 parent0: (25683) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 eqswap: (26031) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.77/2.18 parent0[0]: (24022) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.77/2.18 parent0: (26031) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.77/2.18 parent0: (24023) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 paramod: (27307) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol51 }.
% 1.77/2.18 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.77/2.18 parent1[0; 2]: (24024) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) =
% 1.77/2.18 skol51 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 paramod: (27308) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol49 }.
% 1.77/2.18 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.77/2.18 parent1[0; 4]: (27307) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) =
% 1.77/2.18 skol51 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (282) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46,
% 1.77/2.18 skol52 ) ==> skol49 }.
% 1.77/2.18 parent0: (27308) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol49 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (285) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 1.77/2.18 parent0: (24027) {G0,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (27674) {G1,W3,D2,L1,V0,M1} { segmentP( skol52, skol52 ) }.
% 1.77/2.18 parent0[0]: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 1.77/2.18 }.
% 1.77/2.18 parent1[0]: (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol52
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (495) {G1,W3,D2,L1,V0,M1} R(212,281) { segmentP( skol52,
% 1.77/2.18 skol52 ) }.
% 1.77/2.18 parent0: (27674) {G1,W3,D2,L1,V0,M1} { segmentP( skol52, skol52 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (27675) {G1,W10,D2,L4,V1,M4} { ! ssList( skol49 ), ! ssList(
% 1.77/2.18 skol46 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 1.77/2.18 parent0[0]: (285) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 1.77/2.18 parent1[4]: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.77/2.18 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol49
% 1.77/2.18 Y := skol46
% 1.77/2.18 Z := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (27680) {G1,W8,D2,L3,V1,M3} { ! ssList( skol46 ), ! ssList( X
% 1.77/2.18 ), ! alpha2( skol49, skol46, X ) }.
% 1.77/2.18 parent0[0]: (27675) {G1,W10,D2,L4,V1,M4} { ! ssList( skol49 ), ! ssList(
% 1.77/2.18 skol46 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 1.77/2.18 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (879) {G1,W8,D2,L3,V1,M3} R(22,285);r(276) { ! ssList( skol46
% 1.77/2.18 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 1.77/2.18 parent0: (27680) {G1,W8,D2,L3,V1,M3} { ! ssList( skol46 ), ! ssList( X ),
% 1.77/2.18 ! alpha2( skol49, skol46, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 eqswap: (27682) {G0,W7,D3,L2,V1,M2} { X ==> app( nil, X ), ! ssList( X )
% 1.77/2.18 }.
% 1.77/2.18 parent0[1]: (175) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( nil, X ) ==>
% 1.77/2.18 X }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (27683) {G1,W5,D3,L1,V0,M1} { skol46 ==> app( nil, skol46 )
% 1.77/2.18 }.
% 1.77/2.18 parent0[1]: (27682) {G0,W7,D3,L2,V1,M2} { X ==> app( nil, X ), ! ssList( X
% 1.77/2.18 ) }.
% 1.77/2.18 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol46
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 eqswap: (27684) {G1,W5,D3,L1,V0,M1} { app( nil, skol46 ) ==> skol46 }.
% 1.77/2.18 parent0[0]: (27683) {G1,W5,D3,L1,V0,M1} { skol46 ==> app( nil, skol46 )
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (17059) {G1,W5,D3,L1,V0,M1} R(175,275) { app( nil, skol46 )
% 1.77/2.18 ==> skol46 }.
% 1.77/2.18 parent0: (27684) {G1,W5,D3,L1,V0,M1} { app( nil, skol46 ) ==> skol46 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (27687) {G1,W6,D2,L2,V1,M2} { ! ssList( X ), ! alpha2( skol49
% 1.77/2.18 , skol46, X ) }.
% 1.77/2.18 parent0[0]: (879) {G1,W8,D2,L3,V1,M3} R(22,285);r(276) { ! ssList( skol46 )
% 1.77/2.18 , ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 1.77/2.18 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (20680) {G2,W6,D2,L2,V1,M2} S(879);r(275) { ! ssList( X ), !
% 1.77/2.18 alpha2( skol49, skol46, X ) }.
% 1.77/2.18 parent0: (27687) {G1,W6,D2,L2,V1,M2} { ! ssList( X ), ! alpha2( skol49,
% 1.77/2.18 skol46, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (27688) {G1,W4,D2,L1,V0,M1} { ! alpha2( skol49, skol46, nil )
% 1.77/2.18 }.
% 1.77/2.18 parent0[0]: (20680) {G2,W6,D2,L2,V1,M2} S(879);r(275) { ! ssList( X ), !
% 1.77/2.18 alpha2( skol49, skol46, X ) }.
% 1.77/2.18 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := nil
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (23333) {G3,W4,D2,L1,V0,M1} R(20680,161) { ! alpha2( skol49,
% 1.77/2.18 skol46, nil ) }.Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------