TSTP Solution File: SWC258+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC258+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:35:16 EDT 2022
% Result : Theorem 3.21s 3.57s
% Output : Refutation 3.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC258+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 12 10:51:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.16 *** allocated 10000 integers for termspace/termends
% 0.71/1.16 *** allocated 10000 integers for clauses
% 0.71/1.16 *** allocated 10000 integers for justifications
% 0.71/1.16 Bliksem 1.12
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 Automatic Strategy Selection
% 0.71/1.16
% 0.71/1.16 *** allocated 15000 integers for termspace/termends
% 0.71/1.16
% 0.71/1.16 Clauses:
% 0.71/1.16
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.71/1.16 { ssItem( skol1 ) }.
% 0.71/1.16 { ssItem( skol49 ) }.
% 0.71/1.16 { ! skol1 = skol49 }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.71/1.16 }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.71/1.16 Y ) ) }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.71/1.16 ( X, Y ) }.
% 0.71/1.16 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.71/1.16 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.71/1.16 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.71/1.16 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.71/1.16 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.71/1.16 ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.71/1.16 ) = X }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.71/1.16 ( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.71/1.16 }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.71/1.16 = X }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.71/1.16 ( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.71/1.16 }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.71/1.16 , Y ) ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.71/1.16 segmentP( X, Y ) }.
% 0.71/1.16 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.71/1.16 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.71/1.16 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.71/1.16 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.71/1.16 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.71/1.16 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.71/1.16 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.71/1.16 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.71/1.16 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.71/1.16 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.71/1.16 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.71/1.16 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.71/1.16 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.71/1.16 .
% 0.71/1.16 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.71/1.16 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.71/1.16 , U ) }.
% 0.71/1.16 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.16 ) ) = X, alpha12( Y, Z ) }.
% 0.71/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.71/1.16 W ) }.
% 0.71/1.16 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.71/1.16 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.71/1.16 { leq( X, Y ), alpha12( X, Y ) }.
% 0.71/1.16 { leq( Y, X ), alpha12( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.71/1.16 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.71/1.16 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.71/1.16 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.71/1.16 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.71/1.16 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.71/1.16 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.71/1.16 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.71/1.16 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.71/1.16 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.71/1.16 .
% 0.71/1.16 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.71/1.16 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.71/1.16 , U ) }.
% 0.71/1.16 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.16 ) ) = X, alpha13( Y, Z ) }.
% 0.71/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.71/1.16 W ) }.
% 0.71/1.16 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.71/1.16 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.71/1.16 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.71/1.16 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.71/1.16 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.71/1.16 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.71/1.16 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.71/1.16 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.71/1.16 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.71/1.16 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.71/1.16 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.71/1.16 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.71/1.16 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.71/1.16 .
% 0.71/1.16 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.71/1.16 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.71/1.16 , U ) }.
% 0.71/1.16 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.16 ) ) = X, alpha14( Y, Z ) }.
% 0.71/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.71/1.16 W ) }.
% 0.71/1.16 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.71/1.16 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.71/1.16 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.71/1.16 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.71/1.16 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.71/1.16 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.71/1.16 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.71/1.16 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.71/1.16 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.71/1.16 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.71/1.16 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.71/1.16 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.71/1.16 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.71/1.16 .
% 0.71/1.16 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.71/1.16 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.71/1.16 , U ) }.
% 0.71/1.16 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.16 ) ) = X, leq( Y, Z ) }.
% 0.71/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.71/1.16 W ) }.
% 0.71/1.16 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.71/1.16 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.71/1.16 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.71/1.16 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.71/1.16 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.71/1.16 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.71/1.16 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.71/1.16 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.71/1.16 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.71/1.16 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.71/1.16 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.71/1.16 .
% 0.71/1.16 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.71/1.16 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.71/1.16 , U ) }.
% 0.71/1.16 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.16 ) ) = X, lt( Y, Z ) }.
% 0.71/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.71/1.16 W ) }.
% 0.71/1.16 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.71/1.16 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.71/1.16 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.71/1.16 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.71/1.16 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.71/1.16 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.71/1.16 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.71/1.16 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.71/1.16 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.71/1.16 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.71/1.16 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.71/1.16 .
% 0.71/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.71/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.71/1.16 , U ) }.
% 0.71/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.16 ) ) = X, ! Y = Z }.
% 0.71/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.71/1.16 W ) }.
% 0.71/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.71/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.71/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.71/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.71/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.71/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.71/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.71/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.71/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.71/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.71/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.71/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.71/1.16 Z }.
% 0.71/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.71/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.71/1.16 { ssList( nil ) }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.71/1.16 ) = cons( T, Y ), Z = T }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.71/1.16 ) = cons( T, Y ), Y = X }.
% 0.71/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.71/1.16 { ! ssList( X ), nil = X, ssItem( skol50( Y ) ) }.
% 0.71/1.16 { ! ssList( X ), nil = X, cons( skol50( X ), skol43( X ) ) = X }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.71/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.71/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.71/1.16 ( cons( Z, Y ), X ) }.
% 0.71/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.71/1.16 , leq( X, Z ) }.
% 0.71/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.71/1.16 lt( X, Z ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.71/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.71/1.16 app( Y, Z ), X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.71/1.16 app( Y, Z ), X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.71/1.16 , X = Y, memberP( Z, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.71/1.16 ), X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.71/1.16 cons( Y, Z ), X ) }.
% 0.71/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.71/1.16 { ! singletonP( nil ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.71/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.71/1.16 = Y }.
% 0.71/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.71/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.71/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.71/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.71/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.71/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.71/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.71/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.71/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.71/1.16 Y }.
% 0.71/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.71/1.16 ( app( Z, X ), Y ) }.
% 0.71/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.71/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.71/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.71/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.71/1.16 Y }.
% 0.71/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.71/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.71/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.71/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.71/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.71/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.71/1.16 { cyclefreeP( nil ) }.
% 0.71/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.71/1.16 { totalorderP( nil ) }.
% 0.71/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.71/1.16 { strictorderP( nil ) }.
% 0.71/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.71/1.16 { totalorderedP( nil ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.71/1.16 alpha10( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.71/1.16 .
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.71/1.16 Y ) ) }.
% 0.71/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.71/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.71/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.71/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.71/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.71/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.71/1.16 { strictorderedP( nil ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.71/1.16 alpha11( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.71/1.16 .
% 0.71/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.71/1.16 , Y ) ) }.
% 0.71/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.71/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.71/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.71/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.71/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.71/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.71/1.16 { duplicatefreeP( nil ) }.
% 0.71/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.71/1.16 { equalelemsP( nil ) }.
% 0.71/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.71/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.71/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.71/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.71/1.16 ( Y ) = tl( X ), Y = X }.
% 0.71/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.71/1.16 , Z = X }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.71/1.16 , Z = X }.
% 0.71/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.71/1.16 ( X, app( Y, Z ) ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.71/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.71/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.71/1.16 Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.71/1.16 , geq( X, Z ) }.
% 0.71/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.71/1.16 , lt( X, Z ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.71/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.71/1.16 gt( X, Z ) }.
% 0.71/1.16 { ssList( skol46 ) }.
% 0.71/1.16 { ssList( skol51 ) }.
% 0.71/1.16 { ssList( skol52 ) }.
% 0.71/1.16 { ssList( skol53 ) }.
% 0.71/1.16 { skol51 = skol53 }.
% 0.71/1.16 { skol46 = skol52 }.
% 0.71/1.16 { ! totalorderedP( skol46 ) }.
% 0.71/1.16 { alpha44( skol52, skol53 ), nil = skol53 }.
% 0.71/1.16 { alpha44( skol52, skol53 ), nil = skol52 }.
% 0.71/1.16 { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y ) ) }.
% 0.71/1.16 { ! alpha44( X, Y ), alpha46( Y, skol47( Z, Y ) ) }.
% 0.71/1.16 { ! alpha44( X, Y ), alpha45( X, skol47( X, Y ) ) }.
% 0.71/1.16 { ! alpha45( X, Z ), ! memberP( Y, Z ), ! alpha46( Y, Z ), alpha44( X, Y )
% 0.71/1.16 }.
% 0.71/1.16 { ! alpha46( X, Y ), alpha47( Y, Z ), ! memberP( X, Z ), ! leq( Z, Y ) }.
% 0.71/1.16 { ! alpha47( Y, skol48( Z, Y ) ), alpha46( X, Y ) }.
% 0.71/1.16 { leq( skol48( Z, Y ), Y ), alpha46( X, Y ) }.
% 0.71/1.16 { memberP( X, skol48( X, Y ) ), alpha46( X, Y ) }.
% 0.71/1.16 { ! alpha47( X, Y ), ! ssItem( Y ), X = Y }.
% 0.71/1.16 { ssItem( Y ), alpha47( X, Y ) }.
% 0.71/1.16 { ! X = Y, alpha47( X, Y ) }.
% 0.71/1.16 { ! alpha45( X, Y ), ssItem( Y ) }.
% 0.71/1.16 { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 0.71/1.16 { ! ssItem( Y ), ! cons( Y, nil ) = X, alpha45( X, Y ) }.
% 0.71/1.16
% 0.71/1.16 *** allocated 15000 integers for clauses
% 0.71/1.16 percentage equality = 0.129291, percentage horn = 0.755034
% 0.71/1.16 This is a problem with some equality
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 Options Used:
% 0.71/1.16
% 0.71/1.16 useres = 1
% 0.71/1.16 useparamod = 1
% 0.71/1.16 useeqrefl = 1
% 0.71/1.16 useeqfact = 1
% 0.71/1.16 usefactor = 1
% 0.71/1.16 usesimpsplitting = 0
% 0.71/1.16 usesimpdemod = 5
% 0.71/1.16 usesimpres = 3
% 0.71/1.16
% 0.71/1.16 resimpinuse = 1000
% 0.71/1.16 resimpclauses = 20000
% 0.71/1.16 substype = eqrewr
% 0.71/1.16 backwardsubs = 1
% 0.71/1.16 selectoldest = 5
% 0.71/1.16
% 0.71/1.16 litorderings [0] = split
% 0.71/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.16
% 0.71/1.16 termordering = kbo
% 0.71/1.16
% 0.71/1.16 litapriori = 0
% 0.71/1.16 termapriori = 1
% 0.71/1.16 litaposteriori = 0
% 0.71/1.16 termaposteriori = 0
% 0.71/1.16 demodaposteriori = 0
% 0.71/1.16 ordereqreflfact = 0
% 0.71/1.16
% 0.71/1.16 litselect = negord
% 0.71/1.16
% 0.71/1.16 maxweight = 15
% 0.71/1.16 maxdepth = 30000
% 0.71/1.16 maxlength = 115
% 0.71/1.16 maxnrvars = 195
% 0.71/1.16 excuselevel = 1
% 0.71/1.16 increasemaxweight = 1
% 0.71/1.16
% 0.71/1.16 maxselected = 10000000
% 0.71/1.16 maxnrclauses = 10000000
% 0.71/1.16
% 0.71/1.16 showgenerated = 0
% 0.71/1.16 showkept = 0
% 0.71/1.16 showselected = 0
% 0.71/1.16 showdeleted = 0
% 0.71/1.16 showresimp = 1
% 0.71/1.16 showstatus = 2000
% 0.71/1.16
% 0.71/1.16 prologoutput = 0
% 0.71/1.16 nrgoals = 5000000
% 0.71/1.16 totalproof = 1
% 0.71/1.16
% 0.71/1.16 Symbols occurring in the translation:
% 0.71/1.16
% 0.71/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.16 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.16 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.76/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.45 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.76/1.45 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.76/1.45 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.76/1.45 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.76/1.45 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.76/1.45 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.76/1.45 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.76/1.45 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.76/1.45 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.76/1.45 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.76/1.45 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.76/1.45 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.76/1.45 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.76/1.45 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.76/1.45 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.76/1.45 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.76/1.45 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.76/1.45 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.76/1.45 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.76/1.45 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.76/1.45 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.45 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.45 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.76/1.45 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.76/1.45 alpha1 [65, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.76/1.45 alpha2 [66, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.76/1.45 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.76/1.45 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.76/1.45 alpha5 [69, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.76/1.45 alpha6 [70, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.76/1.45 alpha7 [71, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.76/1.45 alpha8 [72, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.76/1.45 alpha9 [73, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.76/1.45 alpha10 [74, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.76/1.45 alpha11 [75, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.76/1.45 alpha12 [76, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.76/1.45 alpha13 [77, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.76/1.45 alpha14 [78, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.76/1.45 alpha15 [79, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.76/1.45 alpha16 [80, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.76/1.45 alpha17 [81, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.76/1.45 alpha18 [82, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.76/1.45 alpha19 [83, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.76/1.45 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.76/1.45 alpha21 [85, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.76/1.45 alpha22 [86, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.76/1.45 alpha23 [87, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.76/1.45 alpha24 [88, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.76/1.45 alpha25 [89, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.76/1.45 alpha26 [90, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.76/1.45 alpha27 [91, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.76/1.45 alpha28 [92, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.76/1.45 alpha29 [93, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.76/1.45 alpha30 [94, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.76/1.45 alpha31 [95, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.76/1.45 alpha32 [96, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.76/1.45 alpha33 [97, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.76/1.45 alpha34 [98, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.76/1.45 alpha35 [99, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.76/1.45 alpha36 [100, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.76/1.45 alpha37 [101, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.76/1.45 alpha38 [102, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.76/1.45 alpha39 [103, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.76/1.45 alpha40 [104, 6] (w:1, o:161, a:1, s:1, b:1),
% 0.76/1.45 alpha41 [105, 6] (w:1, o:162, a:1, s:1, b:1),
% 0.76/1.45 alpha42 [106, 6] (w:1, o:163, a:1, s:1, b:1),
% 0.76/1.45 alpha43 [107, 6] (w:1, o:164, a:1, s:1, b:1),
% 0.76/1.45 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.76/1.45 alpha45 [109, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.76/1.45 alpha46 [110, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.76/1.45 alpha47 [111, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.76/1.45 skol1 [112, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.76/1.45 skol2 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.76/1.45 skol3 [114, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.76/1.45 skol4 [115, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.76/1.45 skol5 [116, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.76/1.45 skol6 [117, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.76/1.45 skol7 [118, 2] (w:1, o:109, a:1, s:1, b:1),
% 3.21/3.57 skol8 [119, 3] (w:1, o:126, a:1, s:1, b:1),
% 3.21/3.57 skol9 [120, 1] (w:1, o:33, a:1, s:1, b:1),
% 3.21/3.57 skol10 [121, 2] (w:1, o:101, a:1, s:1, b:1),
% 3.21/3.57 skol11 [122, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.21/3.57 skol12 [123, 4] (w:1, o:139, a:1, s:1, b:1),
% 3.21/3.57 skol13 [124, 5] (w:1, o:153, a:1, s:1, b:1),
% 3.21/3.57 skol14 [125, 1] (w:1, o:34, a:1, s:1, b:1),
% 3.21/3.57 skol15 [126, 2] (w:1, o:102, a:1, s:1, b:1),
% 3.21/3.57 skol16 [127, 3] (w:1, o:128, a:1, s:1, b:1),
% 3.21/3.57 skol17 [128, 4] (w:1, o:140, a:1, s:1, b:1),
% 3.21/3.57 skol18 [129, 5] (w:1, o:154, a:1, s:1, b:1),
% 3.21/3.57 skol19 [130, 1] (w:1, o:35, a:1, s:1, b:1),
% 3.21/3.57 skol20 [131, 2] (w:1, o:110, a:1, s:1, b:1),
% 3.21/3.57 skol21 [132, 3] (w:1, o:123, a:1, s:1, b:1),
% 3.21/3.57 skol22 [133, 4] (w:1, o:141, a:1, s:1, b:1),
% 3.21/3.57 skol23 [134, 5] (w:1, o:155, a:1, s:1, b:1),
% 3.21/3.57 skol24 [135, 1] (w:1, o:36, a:1, s:1, b:1),
% 3.21/3.57 skol25 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 3.21/3.57 skol26 [137, 3] (w:1, o:124, a:1, s:1, b:1),
% 3.21/3.57 skol27 [138, 4] (w:1, o:142, a:1, s:1, b:1),
% 3.21/3.57 skol28 [139, 5] (w:1, o:156, a:1, s:1, b:1),
% 3.21/3.57 skol29 [140, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.21/3.57 skol30 [141, 2] (w:1, o:112, a:1, s:1, b:1),
% 3.21/3.57 skol31 [142, 3] (w:1, o:129, a:1, s:1, b:1),
% 3.21/3.57 skol32 [143, 4] (w:1, o:143, a:1, s:1, b:1),
% 3.21/3.57 skol33 [144, 5] (w:1, o:157, a:1, s:1, b:1),
% 3.21/3.57 skol34 [145, 1] (w:1, o:30, a:1, s:1, b:1),
% 3.21/3.57 skol35 [146, 2] (w:1, o:113, a:1, s:1, b:1),
% 3.21/3.57 skol36 [147, 3] (w:1, o:130, a:1, s:1, b:1),
% 3.21/3.57 skol37 [148, 4] (w:1, o:144, a:1, s:1, b:1),
% 3.21/3.57 skol38 [149, 5] (w:1, o:158, a:1, s:1, b:1),
% 3.21/3.57 skol39 [150, 1] (w:1, o:31, a:1, s:1, b:1),
% 3.21/3.57 skol40 [151, 2] (w:1, o:104, a:1, s:1, b:1),
% 3.21/3.57 skol41 [152, 3] (w:1, o:131, a:1, s:1, b:1),
% 3.21/3.57 skol42 [153, 4] (w:1, o:145, a:1, s:1, b:1),
% 3.21/3.57 skol43 [154, 1] (w:1, o:38, a:1, s:1, b:1),
% 3.21/3.57 skol44 [155, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.21/3.57 skol45 [156, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.21/3.57 skol46 [157, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.21/3.57 skol47 [158, 2] (w:1, o:105, a:1, s:1, b:1),
% 3.21/3.57 skol48 [159, 2] (w:1, o:106, a:1, s:1, b:1),
% 3.21/3.57 skol49 [160, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.21/3.57 skol50 [161, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.21/3.57 skol51 [162, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.21/3.57 skol52 [163, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.21/3.57 skol53 [164, 0] (w:1, o:18, a:1, s:1, b:1).
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Starting Search:
% 3.21/3.57
% 3.21/3.57 *** allocated 22500 integers for clauses
% 3.21/3.57 *** allocated 33750 integers for clauses
% 3.21/3.57 *** allocated 50625 integers for clauses
% 3.21/3.57 *** allocated 22500 integers for termspace/termends
% 3.21/3.57 *** allocated 75937 integers for clauses
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 33750 integers for termspace/termends
% 3.21/3.57 *** allocated 113905 integers for clauses
% 3.21/3.57 *** allocated 50625 integers for termspace/termends
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 3634
% 3.21/3.57 Kept: 2002
% 3.21/3.57 Inuse: 233
% 3.21/3.57 Deleted: 6
% 3.21/3.57 Deletedinuse: 0
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 170857 integers for clauses
% 3.21/3.57 *** allocated 75937 integers for termspace/termends
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 256285 integers for clauses
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 7286
% 3.21/3.57 Kept: 4103
% 3.21/3.57 Inuse: 395
% 3.21/3.57 Deleted: 11
% 3.21/3.57 Deletedinuse: 5
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 113905 integers for termspace/termends
% 3.21/3.57 *** allocated 384427 integers for clauses
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 10423
% 3.21/3.57 Kept: 6103
% 3.21/3.57 Inuse: 564
% 3.21/3.57 Deleted: 15
% 3.21/3.57 Deletedinuse: 9
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 170857 integers for termspace/termends
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 576640 integers for clauses
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 14267
% 3.21/3.57 Kept: 8111
% 3.21/3.57 Inuse: 672
% 3.21/3.57 Deleted: 17
% 3.21/3.57 Deletedinuse: 11
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 16850
% 3.21/3.57 Kept: 10187
% 3.21/3.57 Inuse: 730
% 3.21/3.57 Deleted: 17
% 3.21/3.57 Deletedinuse: 11
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 256285 integers for termspace/termends
% 3.21/3.57 *** allocated 864960 integers for clauses
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 22417
% 3.21/3.57 Kept: 12277
% 3.21/3.57 Inuse: 768
% 3.21/3.57 Deleted: 25
% 3.21/3.57 Deletedinuse: 17
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 30676
% 3.21/3.57 Kept: 14292
% 3.21/3.57 Inuse: 798
% 3.21/3.57 Deleted: 46
% 3.21/3.57 Deletedinuse: 38
% 3.21/3.57
% 3.21/3.57 *** allocated 384427 integers for termspace/termends
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 37091
% 3.21/3.57 Kept: 16356
% 3.21/3.57 Inuse: 877
% 3.21/3.57 Deleted: 54
% 3.21/3.57 Deletedinuse: 44
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 1297440 integers for clauses
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 48658
% 3.21/3.57 Kept: 18746
% 3.21/3.57 Inuse: 913
% 3.21/3.57 Deleted: 64
% 3.21/3.57 Deletedinuse: 46
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying clauses:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 57286
% 3.21/3.57 Kept: 20746
% 3.21/3.57 Inuse: 948
% 3.21/3.57 Deleted: 2670
% 3.21/3.57 Deletedinuse: 47
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 576640 integers for termspace/termends
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 67028
% 3.21/3.57 Kept: 22894
% 3.21/3.57 Inuse: 985
% 3.21/3.57 Deleted: 2677
% 3.21/3.57 Deletedinuse: 53
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 72879
% 3.21/3.57 Kept: 24895
% 3.21/3.57 Inuse: 1022
% 3.21/3.57 Deleted: 2677
% 3.21/3.57 Deletedinuse: 53
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 79447
% 3.21/3.57 Kept: 26902
% 3.21/3.57 Inuse: 1046
% 3.21/3.57 Deleted: 2677
% 3.21/3.57 Deletedinuse: 53
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 1946160 integers for clauses
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 90567
% 3.21/3.57 Kept: 28967
% 3.21/3.57 Inuse: 1065
% 3.21/3.57 Deleted: 2679
% 3.21/3.57 Deletedinuse: 55
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 *** allocated 864960 integers for termspace/termends
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 98806
% 3.21/3.57 Kept: 31121
% 3.21/3.57 Inuse: 1100
% 3.21/3.57 Deleted: 2679
% 3.21/3.57 Deletedinuse: 55
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 108387
% 3.21/3.57 Kept: 33148
% 3.21/3.57 Inuse: 1119
% 3.21/3.57 Deleted: 2688
% 3.21/3.57 Deletedinuse: 62
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 115404
% 3.21/3.57 Kept: 36450
% 3.21/3.57 Inuse: 1183
% 3.21/3.57 Deleted: 2688
% 3.21/3.57 Deletedinuse: 62
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 120872
% 3.21/3.57 Kept: 38469
% 3.21/3.57 Inuse: 1225
% 3.21/3.57 Deleted: 2695
% 3.21/3.57 Deletedinuse: 62
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57 Resimplifying inuse:
% 3.21/3.57 Done
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Intermediate Status:
% 3.21/3.57 Generated: 131657
% 3.21/3.57 Kept: 40511
% 3.21/3.57 Inuse: 1309
% 3.21/3.57 Deleted: 2701
% 3.21/3.57 Deletedinuse: 63
% 3.21/3.57
% 3.21/3.57 Resimplifying clauses:
% 3.21/3.57
% 3.21/3.57 Bliksems!, er is een bewijs:
% 3.21/3.57 % SZS status Theorem
% 3.21/3.57 % SZS output start Refutation
% 3.21/3.57
% 3.21/3.57 (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.21/3.57 skol4( Y ) ) }.
% 3.21/3.57 (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X ), cons( skol4
% 3.21/3.57 ( X ), nil ) ==> X }.
% 3.21/3.57 (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 3.21/3.57 ) = X, singletonP( X ) }.
% 3.21/3.57 (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.21/3.57 totalorderedP( X ) }.
% 3.21/3.57 (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.21/3.57 (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 3.21/3.57 , X ) ) }.
% 3.21/3.57 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.21/3.57 (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.21/3.57 ) }.
% 3.21/3.57 (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 3.21/3.57 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.21/3.57 (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 3.21/3.57 (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 3.21/3.57 (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 3.21/3.57 (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==> nil, alpha44
% 3.21/3.57 ( skol46, skol51 ) }.
% 3.21/3.57 (286) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X, skol47( X, Y )
% 3.21/3.57 ) }.
% 3.21/3.57 (295) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y ) }.
% 3.21/3.57 (296) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 3.21/3.57 (1196) {G2,W3,D2,L1,V0,M1} P(283,281);r(224) { alpha44( skol46, skol51 )
% 3.21/3.57 }.
% 3.21/3.57 (4429) {G1,W4,D3,L1,V0,M1} R(91,275);r(281) { ! alpha6( skol46, skol24(
% 3.21/3.57 skol46 ) ) }.
% 3.21/3.57 (4474) {G2,W4,D3,L1,V2,M1} R(93,4429) { ssItem( skol25( X, Y ) ) }.
% 3.21/3.57 (12012) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), ! ssItem( Y ), !
% 3.21/3.57 ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP( cons( Y, X ) )
% 3.21/3.57 }.
% 3.21/3.57 (12031) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList( cons( X,
% 3.21/3.57 nil ) ) }.
% 3.21/3.57 (12059) {G2,W6,D3,L2,V1,M2} Q(12012);f;r(161) { ! ssItem( X ), singletonP(
% 3.21/3.57 cons( X, nil ) ) }.
% 3.21/3.57 (12146) {G3,W5,D3,L2,V2,M2} R(12059,11);r(12031) { ! ssItem( X ), ssItem(
% 3.21/3.57 skol4( Y ) ) }.
% 3.21/3.57 (12351) {G4,W3,D3,L1,V1,M1} R(12146,4474) { ssItem( skol4( X ) ) }.
% 3.21/3.57 (12461) {G5,W5,D4,L1,V1,M1} R(12351,223) { totalorderedP( cons( skol4( X )
% 3.21/3.57 , nil ) ) }.
% 3.21/3.57 (17943) {G6,W6,D2,L3,V1,M3} P(12,12461) { totalorderedP( X ), ! ssList( X )
% 3.21/3.57 , ! singletonP( X ) }.
% 3.21/3.57 (21202) {G7,W2,D2,L1,V0,M1} R(17943,275);r(281) { ! singletonP( skol46 )
% 3.21/3.57 }.
% 3.21/3.57 (34394) {G3,W5,D3,L1,V0,M1} R(286,1196) { alpha45( skol46, skol47( skol46,
% 3.21/3.57 skol51 ) ) }.
% 3.21/3.57 (34443) {G4,W4,D3,L1,V0,M1} R(34394,295) { ssItem( skol47( skol46, skol51 )
% 3.21/3.57 ) }.
% 3.21/3.57 (34468) {G5,W6,D4,L1,V0,M1} R(34443,12059) { singletonP( cons( skol47(
% 3.21/3.57 skol46, skol51 ), nil ) ) }.
% 3.21/3.57 (36701) {G4,W7,D4,L1,V0,M1} R(296,34394) { cons( skol47( skol46, skol51 ),
% 3.21/3.57 nil ) ==> skol46 }.
% 3.21/3.57 (40591) {G8,W0,D0,L0,V0,M0} S(34468);d(36701);r(21202) { }.
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 % SZS output end Refutation
% 3.21/3.57 found a proof!
% 3.21/3.57
% 3.21/3.57
% 3.21/3.57 Unprocessed initial clauses:
% 3.21/3.57
% 3.21/3.57 (40593) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.21/3.57 , ! X = Y }.
% 3.21/3.57 (40594) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40595) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.21/3.57 (40596) {G0,W2,D2,L1,V0,M1} { ssItem( skol49 ) }.
% 3.21/3.57 (40597) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol49 }.
% 3.21/3.57 (40598) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.21/3.57 , Y ), ssList( skol2( Z, T ) ) }.
% 3.21/3.57 (40599) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.21/3.57 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.21/3.57 (40600) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.21/3.57 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.21/3.57 (40601) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.21/3.57 ) ) }.
% 3.21/3.57 (40602) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.21/3.57 ( X, Y, Z ) ) ) = X }.
% 3.21/3.57 (40603) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.21/3.57 , alpha1( X, Y, Z ) }.
% 3.21/3.57 (40604) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.21/3.57 skol4( Y ) ) }.
% 3.21/3.57 (40605) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.21/3.57 skol4( X ), nil ) = X }.
% 3.21/3.57 (40606) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.21/3.57 nil ) = X, singletonP( X ) }.
% 3.21/3.57 (40607) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.21/3.57 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.21/3.57 (40608) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.21/3.57 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.21/3.57 (40609) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.21/3.57 (40610) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.21/3.57 , Y ), ssList( skol6( Z, T ) ) }.
% 3.21/3.57 (40611) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.21/3.57 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.21/3.57 (40612) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.21/3.57 (40613) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.21/3.57 , Y ), ssList( skol7( Z, T ) ) }.
% 3.21/3.57 (40614) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.21/3.57 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.21/3.57 (40615) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.21/3.57 (40616) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.21/3.57 ) ) }.
% 3.21/3.57 (40617) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.21/3.57 skol8( X, Y, Z ) ) = X }.
% 3.21/3.57 (40618) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.21/3.57 , alpha2( X, Y, Z ) }.
% 3.21/3.57 (40619) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.21/3.57 Y ), alpha3( X, Y ) }.
% 3.21/3.57 (40620) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.21/3.57 cyclefreeP( X ) }.
% 3.21/3.57 (40621) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.21/3.57 cyclefreeP( X ) }.
% 3.21/3.57 (40622) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.21/3.57 , Y, Z ) }.
% 3.21/3.57 (40623) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.21/3.57 (40624) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40625) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.21/3.57 alpha28( X, Y, Z, T ) }.
% 3.21/3.57 (40626) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.21/3.57 Z ) }.
% 3.21/3.57 (40627) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.21/3.57 alpha21( X, Y, Z ) }.
% 3.21/3.57 (40628) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.21/3.57 alpha35( X, Y, Z, T, U ) }.
% 3.21/3.57 (40629) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.21/3.57 X, Y, Z, T ) }.
% 3.21/3.57 (40630) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.21/3.57 ), alpha28( X, Y, Z, T ) }.
% 3.21/3.57 (40631) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.21/3.57 alpha41( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40632) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.21/3.57 alpha35( X, Y, Z, T, U ) }.
% 3.21/3.57 (40633) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.21/3.57 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.21/3.57 (40634) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.21/3.57 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.21/3.57 (40635) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.21/3.57 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40636) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.21/3.57 W ) }.
% 3.21/3.57 (40637) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.21/3.57 X ) }.
% 3.21/3.57 (40638) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.21/3.57 (40639) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.21/3.57 (40640) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.21/3.57 ( Y ), alpha4( X, Y ) }.
% 3.21/3.57 (40641) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.21/3.57 totalorderP( X ) }.
% 3.21/3.57 (40642) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.21/3.57 totalorderP( X ) }.
% 3.21/3.57 (40643) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.21/3.57 , Y, Z ) }.
% 3.21/3.57 (40644) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.21/3.57 (40645) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40646) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.21/3.57 alpha29( X, Y, Z, T ) }.
% 3.21/3.57 (40647) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.21/3.57 Z ) }.
% 3.21/3.57 (40648) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.21/3.57 alpha22( X, Y, Z ) }.
% 3.21/3.57 (40649) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.21/3.57 alpha36( X, Y, Z, T, U ) }.
% 3.21/3.57 (40650) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.21/3.57 X, Y, Z, T ) }.
% 3.21/3.57 (40651) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.21/3.57 ), alpha29( X, Y, Z, T ) }.
% 3.21/3.57 (40652) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.21/3.57 alpha42( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40653) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.21/3.57 alpha36( X, Y, Z, T, U ) }.
% 3.21/3.57 (40654) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.21/3.57 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.21/3.57 (40655) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.21/3.57 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.21/3.57 (40656) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.21/3.57 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40657) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.21/3.57 W ) }.
% 3.21/3.57 (40658) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.21/3.57 }.
% 3.21/3.57 (40659) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.21/3.57 (40660) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.21/3.57 (40661) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.21/3.57 ( Y ), alpha5( X, Y ) }.
% 3.21/3.57 (40662) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.21/3.57 strictorderP( X ) }.
% 3.21/3.57 (40663) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.21/3.57 strictorderP( X ) }.
% 3.21/3.57 (40664) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.21/3.57 , Y, Z ) }.
% 3.21/3.57 (40665) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.21/3.57 (40666) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40667) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.21/3.57 alpha30( X, Y, Z, T ) }.
% 3.21/3.57 (40668) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.21/3.57 Z ) }.
% 3.21/3.57 (40669) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.21/3.57 alpha23( X, Y, Z ) }.
% 3.21/3.57 (40670) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.21/3.57 alpha37( X, Y, Z, T, U ) }.
% 3.21/3.57 (40671) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.21/3.57 X, Y, Z, T ) }.
% 3.21/3.57 (40672) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.21/3.57 ), alpha30( X, Y, Z, T ) }.
% 3.21/3.57 (40673) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.21/3.57 alpha43( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40674) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.21/3.57 alpha37( X, Y, Z, T, U ) }.
% 3.21/3.57 (40675) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.21/3.57 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.21/3.57 (40676) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.21/3.57 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.21/3.57 (40677) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.21/3.57 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40678) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.21/3.57 W ) }.
% 3.21/3.57 (40679) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.21/3.57 }.
% 3.21/3.57 (40680) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.21/3.57 (40681) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.21/3.57 (40682) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.21/3.57 ssItem( Y ), alpha6( X, Y ) }.
% 3.21/3.57 (40683) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.21/3.57 totalorderedP( X ) }.
% 3.21/3.57 (40684) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.21/3.57 totalorderedP( X ) }.
% 3.21/3.57 (40685) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.21/3.57 , Y, Z ) }.
% 3.21/3.57 (40686) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.21/3.57 (40687) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40688) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.21/3.57 alpha24( X, Y, Z, T ) }.
% 3.21/3.57 (40689) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.21/3.57 Z ) }.
% 3.21/3.57 (40690) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.21/3.57 alpha15( X, Y, Z ) }.
% 3.21/3.57 (40691) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.21/3.57 alpha31( X, Y, Z, T, U ) }.
% 3.21/3.57 (40692) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.21/3.57 X, Y, Z, T ) }.
% 3.21/3.57 (40693) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.21/3.57 ), alpha24( X, Y, Z, T ) }.
% 3.21/3.57 (40694) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.21/3.57 alpha38( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40695) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.21/3.57 alpha31( X, Y, Z, T, U ) }.
% 3.21/3.57 (40696) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.21/3.57 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.21/3.57 (40697) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.21/3.57 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.21/3.57 (40698) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.21/3.57 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40699) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.21/3.57 }.
% 3.21/3.57 (40700) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.21/3.57 ssItem( Y ), alpha7( X, Y ) }.
% 3.21/3.57 (40701) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.21/3.57 strictorderedP( X ) }.
% 3.21/3.57 (40702) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.21/3.57 strictorderedP( X ) }.
% 3.21/3.57 (40703) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.21/3.57 , Y, Z ) }.
% 3.21/3.57 (40704) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.21/3.57 (40705) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40706) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.21/3.57 alpha25( X, Y, Z, T ) }.
% 3.21/3.57 (40707) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.21/3.57 Z ) }.
% 3.21/3.57 (40708) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.21/3.57 alpha16( X, Y, Z ) }.
% 3.21/3.57 (40709) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.21/3.57 alpha32( X, Y, Z, T, U ) }.
% 3.21/3.57 (40710) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.21/3.57 X, Y, Z, T ) }.
% 3.21/3.57 (40711) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.21/3.57 ), alpha25( X, Y, Z, T ) }.
% 3.21/3.57 (40712) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.21/3.57 alpha39( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40713) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.21/3.57 alpha32( X, Y, Z, T, U ) }.
% 3.21/3.57 (40714) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.21/3.57 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.21/3.57 (40715) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.21/3.57 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.21/3.57 (40716) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.21/3.57 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40717) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.21/3.57 }.
% 3.21/3.57 (40718) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.21/3.57 ssItem( Y ), alpha8( X, Y ) }.
% 3.21/3.57 (40719) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.21/3.57 duplicatefreeP( X ) }.
% 3.21/3.57 (40720) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.21/3.57 duplicatefreeP( X ) }.
% 3.21/3.57 (40721) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.21/3.57 , Y, Z ) }.
% 3.21/3.57 (40722) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.21/3.57 (40723) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40724) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.21/3.57 alpha26( X, Y, Z, T ) }.
% 3.21/3.57 (40725) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.21/3.57 Z ) }.
% 3.21/3.57 (40726) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.21/3.57 alpha17( X, Y, Z ) }.
% 3.21/3.57 (40727) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.21/3.57 alpha33( X, Y, Z, T, U ) }.
% 3.21/3.57 (40728) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.21/3.57 X, Y, Z, T ) }.
% 3.21/3.57 (40729) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.21/3.57 ), alpha26( X, Y, Z, T ) }.
% 3.21/3.57 (40730) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.21/3.57 alpha40( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40731) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.21/3.57 alpha33( X, Y, Z, T, U ) }.
% 3.21/3.57 (40732) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.21/3.57 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.21/3.57 (40733) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.21/3.57 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.21/3.57 (40734) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.21/3.57 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40735) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.21/3.57 (40736) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.21/3.57 ( Y ), alpha9( X, Y ) }.
% 3.21/3.57 (40737) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.21/3.57 equalelemsP( X ) }.
% 3.21/3.57 (40738) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.21/3.57 equalelemsP( X ) }.
% 3.21/3.57 (40739) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.21/3.57 , Y, Z ) }.
% 3.21/3.57 (40740) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.21/3.57 (40741) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40742) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.21/3.57 alpha27( X, Y, Z, T ) }.
% 3.21/3.57 (40743) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.21/3.57 Z ) }.
% 3.21/3.57 (40744) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.21/3.57 alpha18( X, Y, Z ) }.
% 3.21/3.57 (40745) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.21/3.57 alpha34( X, Y, Z, T, U ) }.
% 3.21/3.57 (40746) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.21/3.57 X, Y, Z, T ) }.
% 3.21/3.57 (40747) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.21/3.57 ), alpha27( X, Y, Z, T ) }.
% 3.21/3.57 (40748) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.21/3.57 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.21/3.57 (40749) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.21/3.57 alpha34( X, Y, Z, T, U ) }.
% 3.21/3.57 (40750) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.21/3.57 (40751) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.21/3.57 , ! X = Y }.
% 3.21/3.57 (40752) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.21/3.57 , Y ) }.
% 3.21/3.57 (40753) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.21/3.57 Y, X ) ) }.
% 3.21/3.57 (40754) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.21/3.57 (40755) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.21/3.57 = X }.
% 3.21/3.57 (40756) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.21/3.57 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.21/3.57 (40757) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.21/3.57 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.21/3.57 (40758) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.21/3.57 ) }.
% 3.21/3.57 (40759) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol50( Y )
% 3.21/3.57 ) }.
% 3.21/3.57 (40760) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol50( X ),
% 3.21/3.57 skol43( X ) ) = X }.
% 3.21/3.57 (40761) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.21/3.57 Y, X ) }.
% 3.21/3.57 (40762) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.21/3.57 }.
% 3.21/3.57 (40763) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.21/3.57 X ) ) = Y }.
% 3.21/3.57 (40764) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.21/3.57 }.
% 3.21/3.57 (40765) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.21/3.57 X ) ) = X }.
% 3.21/3.57 (40766) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.21/3.57 , Y ) ) }.
% 3.21/3.57 (40767) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.21/3.57 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.21/3.57 (40768) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.21/3.57 (40769) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.21/3.57 , ! leq( Y, X ), X = Y }.
% 3.21/3.57 (40770) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.21/3.57 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.21/3.57 (40771) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.21/3.57 (40772) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.21/3.57 , leq( Y, X ) }.
% 3.21/3.57 (40773) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.21/3.57 , geq( X, Y ) }.
% 3.21/3.57 (40774) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.21/3.57 , ! lt( Y, X ) }.
% 3.21/3.57 (40775) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.21/3.57 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.21/3.57 (40776) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.21/3.57 , lt( Y, X ) }.
% 3.21/3.57 (40777) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.21/3.57 , gt( X, Y ) }.
% 3.21/3.57 (40778) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.21/3.57 (40779) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.21/3.57 (40780) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.21/3.57 (40781) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.21/3.57 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.21/3.57 (40782) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.21/3.57 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.21/3.57 (40783) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.21/3.57 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.21/3.57 (40784) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.21/3.57 (40785) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.21/3.57 (40786) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.21/3.57 (40787) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.21/3.57 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.21/3.57 (40788) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.21/3.57 (40789) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.21/3.57 (40790) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.21/3.57 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.21/3.57 (40791) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.21/3.57 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.21/3.57 , T ) }.
% 3.21/3.57 (40792) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.21/3.57 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.21/3.57 cons( Y, T ) ) }.
% 3.21/3.57 (40793) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.21/3.57 (40794) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.21/3.57 X }.
% 3.21/3.57 (40795) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.21/3.57 ) }.
% 3.21/3.57 (40796) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.21/3.57 (40797) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.21/3.57 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.21/3.57 (40798) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.21/3.57 (40799) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.21/3.57 (40800) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.21/3.57 (40801) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.21/3.57 }.
% 3.21/3.57 (40802) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.21/3.57 }.
% 3.21/3.57 (40803) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.21/3.57 (40804) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.21/3.57 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.21/3.57 (40805) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.21/3.57 (40806) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.21/3.57 }.
% 3.21/3.57 (40807) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.21/3.57 (40808) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.21/3.57 }.
% 3.21/3.57 (40809) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.21/3.57 }.
% 3.21/3.57 (40810) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.21/3.57 }.
% 3.21/3.57 (40811) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.21/3.57 (40812) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.21/3.57 }.
% 3.21/3.57 (40813) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.21/3.57 (40814) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.21/3.57 ) }.
% 3.21/3.57 (40815) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.21/3.57 (40816) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.21/3.57 ) }.
% 3.21/3.57 (40817) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.21/3.57 (40818) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.21/3.57 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.21/3.57 (40819) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.21/3.57 totalorderedP( cons( X, Y ) ) }.
% 3.21/3.57 (40820) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.21/3.57 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.21/3.57 (40821) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.21/3.57 (40822) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.21/3.57 (40823) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.21/3.57 }.
% 3.21/3.57 (40824) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.21/3.57 (40825) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.21/3.57 (40826) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.21/3.57 alpha19( X, Y ) }.
% 3.21/3.57 (40827) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.21/3.57 ) ) }.
% 3.21/3.57 (40828) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.21/3.57 (40829) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.21/3.57 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.21/3.57 (40830) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.21/3.57 strictorderedP( cons( X, Y ) ) }.
% 3.21/3.57 (40831) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.21/3.57 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.21/3.57 (40832) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.21/3.57 (40833) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.21/3.57 (40834) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.21/3.57 }.
% 3.21/3.57 (40835) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.21/3.57 (40836) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.21/3.57 (40837) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.21/3.57 alpha20( X, Y ) }.
% 3.21/3.57 (40838) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.21/3.57 ) ) }.
% 3.21/3.57 (40839) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.21/3.57 (40840) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.21/3.57 }.
% 3.21/3.57 (40841) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.21/3.57 (40842) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.21/3.57 ) }.
% 3.21/3.57 (40843) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.21/3.57 ) }.
% 3.21/3.57 (40844) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.21/3.57 ) }.
% 3.21/3.57 (40845) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.21/3.57 ) }.
% 3.21/3.57 (40846) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.21/3.57 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.21/3.57 (40847) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.21/3.57 X ) ) = X }.
% 3.21/3.57 (40848) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.21/3.57 (40849) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.21/3.57 (40850) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.21/3.57 = app( cons( Y, nil ), X ) }.
% 3.21/3.57 (40851) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.21/3.57 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.21/3.57 (40852) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.21/3.57 X, Y ), nil = Y }.
% 3.21/3.57 (40853) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.21/3.57 X, Y ), nil = X }.
% 3.21/3.57 (40854) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.21/3.57 nil = X, nil = app( X, Y ) }.
% 3.21/3.57 (40855) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.21/3.57 (40856) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.21/3.57 app( X, Y ) ) = hd( X ) }.
% 3.21/3.57 (40857) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.21/3.57 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.21/3.57 (40858) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.21/3.57 , ! geq( Y, X ), X = Y }.
% 3.21/3.57 (40859) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.21/3.57 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.21/3.57 (40860) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.21/3.57 (40861) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.21/3.57 (40862) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.21/3.57 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.21/3.57 (40863) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.21/3.57 , X = Y, lt( X, Y ) }.
% 3.21/3.57 (40864) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.21/3.57 , ! X = Y }.
% 3.21/3.57 (40865) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.21/3.57 , leq( X, Y ) }.
% 3.21/3.57 (40866) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.21/3.57 ( X, Y ), lt( X, Y ) }.
% 3.21/3.57 (40867) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.21/3.57 , ! gt( Y, X ) }.
% 3.21/3.57 (40868) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.21/3.57 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.21/3.57 (40869) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.21/3.57 (40870) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.21/3.57 (40871) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.21/3.57 (40872) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 3.21/3.57 (40873) {G0,W3,D2,L1,V0,M1} { skol51 = skol53 }.
% 3.21/3.57 (40874) {G0,W3,D2,L1,V0,M1} { skol46 = skol52 }.
% 3.21/3.57 (40875) {G0,W2,D2,L1,V0,M1} { ! totalorderedP( skol46 ) }.
% 3.21/3.57 (40876) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ), nil = skol53 }.
% 3.21/3.57 (40877) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ), nil = skol52 }.
% 3.21/3.57 (40878) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y
% 3.21/3.57 ) ) }.
% 3.21/3.57 (40879) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), alpha46( Y, skol47( Z, Y
% 3.21/3.57 ) ) }.
% 3.21/3.57 (40880) {G0,W8,D3,L2,V2,M2} { ! alpha44( X, Y ), alpha45( X, skol47( X, Y
% 3.21/3.58 ) ) }.
% 3.21/3.58 (40881) {G0,W12,D2,L4,V3,M4} { ! alpha45( X, Z ), ! memberP( Y, Z ), !
% 3.21/3.58 alpha46( Y, Z ), alpha44( X, Y ) }.
% 3.21/3.58 (40882) {G0,W12,D2,L4,V3,M4} { ! alpha46( X, Y ), alpha47( Y, Z ), !
% 3.21/3.58 memberP( X, Z ), ! leq( Z, Y ) }.
% 3.21/3.58 (40883) {G0,W8,D3,L2,V3,M2} { ! alpha47( Y, skol48( Z, Y ) ), alpha46( X,
% 3.21/3.58 Y ) }.
% 3.21/3.58 (40884) {G0,W8,D3,L2,V3,M2} { leq( skol48( Z, Y ), Y ), alpha46( X, Y )
% 3.21/3.58 }.
% 3.21/3.58 (40885) {G0,W8,D3,L2,V2,M2} { memberP( X, skol48( X, Y ) ), alpha46( X, Y
% 3.21/3.58 ) }.
% 3.21/3.58 (40886) {G0,W8,D2,L3,V2,M3} { ! alpha47( X, Y ), ! ssItem( Y ), X = Y }.
% 3.21/3.58 (40887) {G0,W5,D2,L2,V2,M2} { ssItem( Y ), alpha47( X, Y ) }.
% 3.21/3.58 (40888) {G0,W6,D2,L2,V2,M2} { ! X = Y, alpha47( X, Y ) }.
% 3.21/3.58 (40889) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), ssItem( Y ) }.
% 3.21/3.58 (40890) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), cons( Y, nil ) = X }.
% 3.21/3.58 (40891) {G0,W10,D3,L3,V2,M3} { ! ssItem( Y ), ! cons( Y, nil ) = X,
% 3.21/3.58 alpha45( X, Y ) }.
% 3.21/3.58
% 3.21/3.58
% 3.21/3.58 Total Proof:
% 3.21/3.58
% 3.21/3.58 subsumption: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X )
% 3.21/3.58 , ssItem( skol4( Y ) ) }.
% 3.21/3.58 parent0: (40604) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ),
% 3.21/3.58 ssItem( skol4( Y ) ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 Y := Y
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 2 ==> 2
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 3.21/3.58 , cons( skol4( X ), nil ) ==> X }.
% 3.21/3.58 parent0: (40605) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ),
% 3.21/3.58 cons( skol4( X ), nil ) = X }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 2 ==> 2
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 3.21/3.58 cons( Y, nil ) = X, singletonP( X ) }.
% 3.21/3.58 parent0: (40606) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), !
% 3.21/3.58 cons( Y, nil ) = X, singletonP( X ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 Y := Y
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 2 ==> 2
% 3.21/3.58 3 ==> 3
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X,
% 3.21/3.58 skol24( X ) ), totalorderedP( X ) }.
% 3.21/3.58 parent0: (40684) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24
% 3.21/3.58 ( X ) ), totalorderedP( X ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 2 ==> 2
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6
% 3.21/3.58 ( X, Y ) }.
% 3.21/3.58 parent0: (40686) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X
% 3.21/3.58 , Y ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 Y := Y
% 3.21/3.58 Z := Z
% 3.21/3.58 T := T
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 3.21/3.58 ssList( cons( Y, X ) ) }.
% 3.21/3.58 parent0: (40753) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ),
% 3.21/3.58 ssList( cons( Y, X ) ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 Y := Y
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 2 ==> 2
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.21/3.58 parent0: (40754) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP(
% 3.21/3.58 cons( X, nil ) ) }.
% 3.21/3.58 parent0: (40816) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons
% 3.21/3.58 ( X, nil ) ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 3.21/3.58 parent0: (40817) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.21/3.58 parent0: (40869) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 eqswap: (42253) {G0,W3,D2,L1,V0,M1} { skol53 = skol51 }.
% 3.21/3.58 parent0[0]: (40873) {G0,W3,D2,L1,V0,M1} { skol51 = skol53 }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 3.21/3.58 parent0: (42253) {G0,W3,D2,L1,V0,M1} { skol53 = skol51 }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 eqswap: (42601) {G0,W3,D2,L1,V0,M1} { skol52 = skol46 }.
% 3.21/3.58 parent0[0]: (40874) {G0,W3,D2,L1,V0,M1} { skol46 = skol52 }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 3.21/3.58 parent0: (42601) {G0,W3,D2,L1,V0,M1} { skol52 = skol46 }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 3.21/3.58 parent0: (40875) {G0,W2,D2,L1,V0,M1} { ! totalorderedP( skol46 ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 paramod: (44168) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha44( skol52,
% 3.21/3.58 skol53 ) }.
% 3.21/3.58 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 3.21/3.58 parent1[1; 2]: (40877) {G0,W6,D2,L2,V0,M2} { alpha44( skol52, skol53 ),
% 3.21/3.58 nil = skol52 }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 substitution1:
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 paramod: (44170) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol53 ), nil =
% 3.21/3.58 skol46 }.
% 3.21/3.58 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol46 }.
% 3.21/3.58 parent1[1; 1]: (44168) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha44( skol52
% 3.21/3.58 , skol53 ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 substitution1:
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 paramod: (44171) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol51 ), nil =
% 3.21/3.58 skol46 }.
% 3.21/3.58 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol53 ==> skol51 }.
% 3.21/3.58 parent1[0; 2]: (44170) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol53 ),
% 3.21/3.58 nil = skol46 }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 substitution1:
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 eqswap: (44172) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 3.21/3.58 skol51 ) }.
% 3.21/3.58 parent0[1]: (44171) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol51 ), nil =
% 3.21/3.58 skol46 }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==>
% 3.21/3.58 nil, alpha44( skol46, skol51 ) }.
% 3.21/3.58 parent0: (44172) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 3.21/3.58 skol51 ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (286) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X,
% 3.21/3.58 skol47( X, Y ) ) }.
% 3.21/3.58 parent0: (40880) {G0,W8,D3,L2,V2,M2} { ! alpha44( X, Y ), alpha45( X,
% 3.21/3.58 skol47( X, Y ) ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 Y := Y
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (295) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y )
% 3.21/3.58 }.
% 3.21/3.58 parent0: (40889) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), ssItem( Y ) }.
% 3.21/3.58 substitution0:
% 3.21/3.58 X := X
% 3.21/3.58 Y := Y
% 3.21/3.58 end
% 3.21/3.58 permutation0:
% 3.21/3.58 0 ==> 0
% 3.21/3.58 1 ==> 1
% 3.21/3.58 end
% 3.21/3.58
% 3.21/3.58 subsumption: (296) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil
% 3.21/3.59 ) = X }.
% 3.21/3.59 parent0: (40890) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), cons( Y, nil ) =
% 3.21/3.59 X }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 Y := Y
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 1 ==> 1
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 paramod: (45229) {G1,W5,D2,L2,V0,M2} { ! totalorderedP( nil ), alpha44(
% 3.21/3.59 skol46, skol51 ) }.
% 3.21/3.59 parent0[0]: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==>
% 3.21/3.59 nil, alpha44( skol46, skol51 ) }.
% 3.21/3.59 parent1[0; 2]: (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45240) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol51 ) }.
% 3.21/3.59 parent0[0]: (45229) {G1,W5,D2,L2,V0,M2} { ! totalorderedP( nil ), alpha44
% 3.21/3.59 ( skol46, skol51 ) }.
% 3.21/3.59 parent1[0]: (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (1196) {G2,W3,D2,L1,V0,M1} P(283,281);r(224) { alpha44( skol46
% 3.21/3.59 , skol51 ) }.
% 3.21/3.59 parent0: (45240) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol51 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45241) {G1,W6,D3,L2,V0,M2} { ! alpha6( skol46, skol24( skol46
% 3.21/3.59 ) ), totalorderedP( skol46 ) }.
% 3.21/3.59 parent0[0]: (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X, skol24
% 3.21/3.59 ( X ) ), totalorderedP( X ) }.
% 3.21/3.59 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := skol46
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45242) {G1,W4,D3,L1,V0,M1} { ! alpha6( skol46, skol24( skol46
% 3.21/3.59 ) ) }.
% 3.21/3.59 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 3.21/3.59 parent1[1]: (45241) {G1,W6,D3,L2,V0,M2} { ! alpha6( skol46, skol24( skol46
% 3.21/3.59 ) ), totalorderedP( skol46 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (4429) {G1,W4,D3,L1,V0,M1} R(91,275);r(281) { ! alpha6( skol46
% 3.21/3.59 , skol24( skol46 ) ) }.
% 3.21/3.59 parent0: (45242) {G1,W4,D3,L1,V0,M1} { ! alpha6( skol46, skol24( skol46 )
% 3.21/3.59 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45243) {G1,W4,D3,L1,V2,M1} { ssItem( skol25( X, Y ) ) }.
% 3.21/3.59 parent0[0]: (4429) {G1,W4,D3,L1,V0,M1} R(91,275);r(281) { ! alpha6( skol46
% 3.21/3.59 , skol24( skol46 ) ) }.
% 3.21/3.59 parent1[1]: (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6(
% 3.21/3.59 X, Y ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 X := skol46
% 3.21/3.59 Y := skol24( skol46 )
% 3.21/3.59 Z := X
% 3.21/3.59 T := Y
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (4474) {G2,W4,D3,L1,V2,M1} R(93,4429) { ssItem( skol25( X, Y )
% 3.21/3.59 ) }.
% 3.21/3.59 parent0: (45243) {G1,W4,D3,L1,V2,M1} { ssItem( skol25( X, Y ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 Y := Y
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 eqswap: (45244) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList( Y )
% 3.21/3.59 , ! ssItem( X ), singletonP( Y ) }.
% 3.21/3.59 parent0[2]: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 3.21/3.59 cons( Y, nil ) = X, singletonP( X ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := Y
% 3.21/3.59 Y := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45245) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 3.21/3.59 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 3.21/3.59 }.
% 3.21/3.59 parent0[1]: (45244) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList
% 3.21/3.59 ( Y ), ! ssItem( X ), singletonP( Y ) }.
% 3.21/3.59 parent1[2]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 3.21/3.59 ssList( cons( Y, X ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := Z
% 3.21/3.59 Y := cons( X, Y )
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 X := Y
% 3.21/3.59 Y := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 eqswap: (45246) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 3.21/3.59 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X ) }.
% 3.21/3.59 parent0[0]: (45245) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 3.21/3.59 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 3.21/3.59 }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 Y := Y
% 3.21/3.59 Z := Z
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (12012) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 3.21/3.59 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 3.21/3.59 cons( Y, X ) ) }.
% 3.21/3.59 parent0: (45246) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 3.21/3.59 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 3.21/3.59 }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := Y
% 3.21/3.59 Y := X
% 3.21/3.59 Z := Z
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 3
% 3.21/3.59 1 ==> 2
% 3.21/3.59 2 ==> 4
% 3.21/3.59 3 ==> 0
% 3.21/3.59 4 ==> 1
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45249) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X,
% 3.21/3.59 nil ) ) }.
% 3.21/3.59 parent0[0]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 3.21/3.59 ssList( cons( Y, X ) ) }.
% 3.21/3.59 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := nil
% 3.21/3.59 Y := X
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (12031) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 3.21/3.59 ( cons( X, nil ) ) }.
% 3.21/3.59 parent0: (45249) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X, nil
% 3.21/3.59 ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 1 ==> 1
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 eqswap: (45250) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil ), !
% 3.21/3.59 ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) ) }.
% 3.21/3.59 parent0[3]: (12012) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 3.21/3.59 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 3.21/3.59 cons( Y, X ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := Z
% 3.21/3.59 Y := Y
% 3.21/3.59 Z := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 eqrefl: (45251) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X ), !
% 3.21/3.59 ssItem( X ), singletonP( cons( X, nil ) ) }.
% 3.21/3.59 parent0[0]: (45250) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil )
% 3.21/3.59 , ! ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) )
% 3.21/3.59 }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 Y := X
% 3.21/3.59 Z := nil
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45253) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X ),
% 3.21/3.59 singletonP( cons( X, nil ) ) }.
% 3.21/3.59 parent0[0]: (45251) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X )
% 3.21/3.59 , ! ssItem( X ), singletonP( cons( X, nil ) ) }.
% 3.21/3.59 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 factor: (45254) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X,
% 3.21/3.59 nil ) ) }.
% 3.21/3.59 parent0[0, 1]: (45253) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X )
% 3.21/3.59 , singletonP( cons( X, nil ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (12059) {G2,W6,D3,L2,V1,M2} Q(12012);f;r(161) { ! ssItem( X )
% 3.21/3.59 , singletonP( cons( X, nil ) ) }.
% 3.21/3.59 parent0: (45254) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X
% 3.21/3.59 , nil ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 1 ==> 1
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45256) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 3.21/3.59 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 3.21/3.59 parent0[1]: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ),
% 3.21/3.59 ssItem( skol4( Y ) ) }.
% 3.21/3.59 parent1[1]: (12059) {G2,W6,D3,L2,V1,M2} Q(12012);f;r(161) { ! ssItem( X ),
% 3.21/3.59 singletonP( cons( X, nil ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := cons( X, nil )
% 3.21/3.59 Y := Y
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45257) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), ! ssItem(
% 3.21/3.59 X ), ! ssItem( X ) }.
% 3.21/3.59 parent0[0]: (45256) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 3.21/3.59 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 3.21/3.59 parent1[1]: (12031) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 3.21/3.59 ( cons( X, nil ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 Y := Y
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 factor: (45258) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 3.21/3.59 }.
% 3.21/3.59 parent0[1, 2]: (45257) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), !
% 3.21/3.59 ssItem( X ), ! ssItem( X ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := Y
% 3.21/3.59 Y := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (12146) {G3,W5,D3,L2,V2,M2} R(12059,11);r(12031) { ! ssItem( X
% 3.21/3.59 ), ssItem( skol4( Y ) ) }.
% 3.21/3.59 parent0: (45258) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 3.21/3.59 }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := Y
% 3.21/3.59 Y := X
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 1
% 3.21/3.59 1 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45259) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 3.21/3.59 parent0[0]: (12146) {G3,W5,D3,L2,V2,M2} R(12059,11);r(12031) { ! ssItem( X
% 3.21/3.59 ), ssItem( skol4( Y ) ) }.
% 3.21/3.59 parent1[0]: (4474) {G2,W4,D3,L1,V2,M1} R(93,4429) { ssItem( skol25( X, Y )
% 3.21/3.59 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := skol25( X, Y )
% 3.21/3.59 Y := Z
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 X := X
% 3.21/3.59 Y := Y
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (12351) {G4,W3,D3,L1,V1,M1} R(12146,4474) { ssItem( skol4( X )
% 3.21/3.59 ) }.
% 3.21/3.59 parent0: (45259) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := Y
% 3.21/3.59 Y := Z
% 3.21/3.59 Z := X
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45260) {G1,W5,D4,L1,V1,M1} { totalorderedP( cons( skol4( X )
% 3.21/3.59 , nil ) ) }.
% 3.21/3.59 parent0[0]: (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP(
% 3.21/3.59 cons( X, nil ) ) }.
% 3.21/3.59 parent1[0]: (12351) {G4,W3,D3,L1,V1,M1} R(12146,4474) { ssItem( skol4( X )
% 3.21/3.59 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := skol4( X )
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (12461) {G5,W5,D4,L1,V1,M1} R(12351,223) { totalorderedP( cons
% 3.21/3.59 ( skol4( X ), nil ) ) }.
% 3.21/3.59 parent0: (45260) {G1,W5,D4,L1,V1,M1} { totalorderedP( cons( skol4( X ),
% 3.21/3.59 nil ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 paramod: (45262) {G1,W6,D2,L3,V1,M3} { totalorderedP( X ), ! ssList( X ),
% 3.21/3.59 ! singletonP( X ) }.
% 3.21/3.59 parent0[2]: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 3.21/3.59 , cons( skol4( X ), nil ) ==> X }.
% 3.21/3.59 parent1[0; 1]: (12461) {G5,W5,D4,L1,V1,M1} R(12351,223) { totalorderedP(
% 3.21/3.59 cons( skol4( X ), nil ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (17943) {G6,W6,D2,L3,V1,M3} P(12,12461) { totalorderedP( X ),
% 3.21/3.59 ! ssList( X ), ! singletonP( X ) }.
% 3.21/3.59 parent0: (45262) {G1,W6,D2,L3,V1,M3} { totalorderedP( X ), ! ssList( X ),
% 3.21/3.59 ! singletonP( X ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := X
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 1 ==> 1
% 3.21/3.59 2 ==> 2
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45263) {G1,W4,D2,L2,V0,M2} { totalorderedP( skol46 ), !
% 3.21/3.59 singletonP( skol46 ) }.
% 3.21/3.59 parent0[1]: (17943) {G6,W6,D2,L3,V1,M3} P(12,12461) { totalorderedP( X ), !
% 3.21/3.59 ssList( X ), ! singletonP( X ) }.
% 3.21/3.59 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := skol46
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45264) {G1,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 3.21/3.59 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 3.21/3.59 parent1[0]: (45263) {G1,W4,D2,L2,V0,M2} { totalorderedP( skol46 ), !
% 3.21/3.59 singletonP( skol46 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (21202) {G7,W2,D2,L1,V0,M1} R(17943,275);r(281) { ! singletonP
% 3.21/3.59 ( skol46 ) }.
% 3.21/3.59 parent0: (45264) {G1,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45265) {G1,W5,D3,L1,V0,M1} { alpha45( skol46, skol47( skol46
% 3.21/3.59 , skol51 ) ) }.
% 3.21/3.59 parent0[0]: (286) {G0,W8,D3,L2,V2,M2} I { ! alpha44( X, Y ), alpha45( X,
% 3.21/3.59 skol47( X, Y ) ) }.
% 3.21/3.59 parent1[0]: (1196) {G2,W3,D2,L1,V0,M1} P(283,281);r(224) { alpha44( skol46
% 3.21/3.59 , skol51 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := skol46
% 3.21/3.59 Y := skol51
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (34394) {G3,W5,D3,L1,V0,M1} R(286,1196) { alpha45( skol46,
% 3.21/3.59 skol47( skol46, skol51 ) ) }.
% 3.21/3.59 parent0: (45265) {G1,W5,D3,L1,V0,M1} { alpha45( skol46, skol47( skol46,
% 3.21/3.59 skol51 ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45266) {G1,W4,D3,L1,V0,M1} { ssItem( skol47( skol46, skol51 )
% 3.21/3.59 ) }.
% 3.21/3.59 parent0[0]: (295) {G0,W5,D2,L2,V2,M2} I { ! alpha45( X, Y ), ssItem( Y )
% 3.21/3.59 }.
% 3.21/3.59 parent1[0]: (34394) {G3,W5,D3,L1,V0,M1} R(286,1196) { alpha45( skol46,
% 3.21/3.59 skol47( skol46, skol51 ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := skol46
% 3.21/3.59 Y := skol47( skol46, skol51 )
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (34443) {G4,W4,D3,L1,V0,M1} R(34394,295) { ssItem( skol47(
% 3.21/3.59 skol46, skol51 ) ) }.
% 3.21/3.59 parent0: (45266) {G1,W4,D3,L1,V0,M1} { ssItem( skol47( skol46, skol51 ) )
% 3.21/3.59 }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45267) {G3,W6,D4,L1,V0,M1} { singletonP( cons( skol47( skol46
% 3.21/3.59 , skol51 ), nil ) ) }.
% 3.21/3.59 parent0[0]: (12059) {G2,W6,D3,L2,V1,M2} Q(12012);f;r(161) { ! ssItem( X ),
% 3.21/3.59 singletonP( cons( X, nil ) ) }.
% 3.21/3.59 parent1[0]: (34443) {G4,W4,D3,L1,V0,M1} R(34394,295) { ssItem( skol47(
% 3.21/3.59 skol46, skol51 ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := skol47( skol46, skol51 )
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (34468) {G5,W6,D4,L1,V0,M1} R(34443,12059) { singletonP( cons
% 3.21/3.59 ( skol47( skol46, skol51 ), nil ) ) }.
% 3.21/3.59 parent0: (45267) {G3,W6,D4,L1,V0,M1} { singletonP( cons( skol47( skol46,
% 3.21/3.59 skol51 ), nil ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 eqswap: (45268) {G0,W8,D3,L2,V2,M2} { Y = cons( X, nil ), ! alpha45( Y, X
% 3.21/3.59 ) }.
% 3.21/3.59 parent0[1]: (296) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), cons( Y, nil )
% 3.21/3.59 = X }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := Y
% 3.21/3.59 Y := X
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45269) {G1,W7,D4,L1,V0,M1} { skol46 = cons( skol47( skol46,
% 3.21/3.59 skol51 ), nil ) }.
% 3.21/3.59 parent0[1]: (45268) {G0,W8,D3,L2,V2,M2} { Y = cons( X, nil ), ! alpha45( Y
% 3.21/3.59 , X ) }.
% 3.21/3.59 parent1[0]: (34394) {G3,W5,D3,L1,V0,M1} R(286,1196) { alpha45( skol46,
% 3.21/3.59 skol47( skol46, skol51 ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 X := skol47( skol46, skol51 )
% 3.21/3.59 Y := skol46
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 eqswap: (45270) {G1,W7,D4,L1,V0,M1} { cons( skol47( skol46, skol51 ), nil
% 3.21/3.59 ) = skol46 }.
% 3.21/3.59 parent0[0]: (45269) {G1,W7,D4,L1,V0,M1} { skol46 = cons( skol47( skol46,
% 3.21/3.59 skol51 ), nil ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (36701) {G4,W7,D4,L1,V0,M1} R(296,34394) { cons( skol47(
% 3.21/3.59 skol46, skol51 ), nil ) ==> skol46 }.
% 3.21/3.59 parent0: (45270) {G1,W7,D4,L1,V0,M1} { cons( skol47( skol46, skol51 ), nil
% 3.21/3.59 ) = skol46 }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 0 ==> 0
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 paramod: (45272) {G5,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 3.21/3.59 parent0[0]: (36701) {G4,W7,D4,L1,V0,M1} R(296,34394) { cons( skol47( skol46
% 3.21/3.59 , skol51 ), nil ) ==> skol46 }.
% 3.21/3.59 parent1[0; 1]: (34468) {G5,W6,D4,L1,V0,M1} R(34443,12059) { singletonP(
% 3.21/3.59 cons( skol47( skol46, skol51 ), nil ) ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 resolution: (45273) {G6,W0,D0,L0,V0,M0} { }.
% 3.21/3.59 parent0[0]: (21202) {G7,W2,D2,L1,V0,M1} R(17943,275);r(281) { ! singletonP
% 3.21/3.59 ( skol46 ) }.
% 3.21/3.59 parent1[0]: (45272) {G5,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 substitution1:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 subsumption: (40591) {G8,W0,D0,L0,V0,M0} S(34468);d(36701);r(21202) { }.
% 3.21/3.59 parent0: (45273) {G6,W0,D0,L0,V0,M0} { }.
% 3.21/3.59 substitution0:
% 3.21/3.59 end
% 3.21/3.59 permutation0:
% 3.21/3.59 end
% 3.21/3.59
% 3.21/3.59 Proof check complete!
% 3.21/3.59
% 3.21/3.59 Memory use:
% 3.21/3.59
% 3.21/3.59 space for terms: 728875
% 3.21/3.59 space for clauses: 1817465
% 3.21/3.59
% 3.21/3.59
% 3.21/3.59 clauses generated: 131834
% 3.21/3.59 clauses kept: 40592
% 3.21/3.59 clauses selected: 1310
% 3.21/3.59 clauses deleted: 3000
% 3.21/3.59 clauses inuse deleted: 63
% 3.21/3.59
% 3.21/3.59 subsentry: 216794
% 3.21/3.59 literals s-matched: 135570
% 3.21/3.59 literals matched: 115410
% 3.21/3.59 full subsumption: 60644
% 3.21/3.59
% 3.21/3.59 checksum: -37638599
% 3.21/3.59
% 3.21/3.59
% 3.21/3.59 Bliksem ended
%------------------------------------------------------------------------------