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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWC068-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Tue Jul 19 19:33:30 EDT 2022

% Result   : Unsatisfiable 4.44s 4.86s
% Output   : Refutation 4.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC068-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Sun Jun 12 14:47:10 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.79/1.16  *** allocated 10000 integers for termspace/termends
% 0.79/1.16  *** allocated 10000 integers for clauses
% 0.79/1.16  *** allocated 10000 integers for justifications
% 0.79/1.16  Bliksem 1.12
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  Automatic Strategy Selection
% 0.79/1.16  
% 0.79/1.16  Clauses:
% 0.79/1.16  [
% 0.79/1.16     [ equalelemsP( nil ) ],
% 0.79/1.16     [ duplicatefreeP( nil ) ],
% 0.79/1.16     [ strictorderedP( nil ) ],
% 0.79/1.16     [ totalorderedP( nil ) ],
% 0.79/1.16     [ strictorderP( nil ) ],
% 0.79/1.16     [ totalorderP( nil ) ],
% 0.79/1.16     [ cyclefreeP( nil ) ],
% 0.79/1.16     [ ssList( nil ) ],
% 0.79/1.16     [ ssItem( skac3 ) ],
% 0.79/1.16     [ ssItem( skac2 ) ],
% 0.79/1.16     [ ~( singletonP( nil ) ) ],
% 0.79/1.16     [ ssItem( skaf83( X ) ) ],
% 0.79/1.16     [ ssList( skaf82( X ) ) ],
% 0.79/1.16     [ ssList( skaf81( X ) ) ],
% 0.79/1.16     [ ssList( skaf80( X ) ) ],
% 0.79/1.16     [ ssItem( skaf79( X ) ) ],
% 0.79/1.16     [ ssItem( skaf78( X ) ) ],
% 0.79/1.16     [ ssList( skaf77( X ) ) ],
% 0.79/1.16     [ ssList( skaf76( X ) ) ],
% 0.79/1.16     [ ssList( skaf75( X ) ) ],
% 0.79/1.16     [ ssItem( skaf74( X ) ) ],
% 0.79/1.16     [ ssList( skaf73( X ) ) ],
% 0.79/1.16     [ ssList( skaf72( X ) ) ],
% 0.79/1.16     [ ssList( skaf71( X ) ) ],
% 0.79/1.16     [ ssItem( skaf70( X ) ) ],
% 0.79/1.16     [ ssItem( skaf69( X ) ) ],
% 0.79/1.16     [ ssList( skaf68( X ) ) ],
% 0.79/1.16     [ ssList( skaf67( X ) ) ],
% 0.79/1.16     [ ssList( skaf66( X ) ) ],
% 0.79/1.16     [ ssItem( skaf65( X ) ) ],
% 0.79/1.16     [ ssItem( skaf64( X ) ) ],
% 0.79/1.16     [ ssList( skaf63( X ) ) ],
% 0.79/1.16     [ ssList( skaf62( X ) ) ],
% 0.79/1.16     [ ssList( skaf61( X ) ) ],
% 0.79/1.16     [ ssItem( skaf60( X ) ) ],
% 0.79/1.16     [ ssItem( skaf59( X ) ) ],
% 0.79/1.16     [ ssList( skaf58( X ) ) ],
% 0.79/1.16     [ ssList( skaf57( X ) ) ],
% 0.79/1.16     [ ssList( skaf56( X ) ) ],
% 0.79/1.16     [ ssItem( skaf55( X ) ) ],
% 0.79/1.16     [ ssItem( skaf54( X ) ) ],
% 0.79/1.16     [ ssList( skaf53( X ) ) ],
% 0.79/1.16     [ ssList( skaf52( X ) ) ],
% 0.79/1.16     [ ssList( skaf51( X ) ) ],
% 0.79/1.16     [ ssItem( skaf50( X ) ) ],
% 0.79/1.16     [ ssItem( skaf49( X ) ) ],
% 0.79/1.16     [ ssItem( skaf44( X ) ) ],
% 0.79/1.16     [ ssList( skaf48( X, Y ) ) ],
% 0.79/1.16     [ ssList( skaf47( X, Y ) ) ],
% 0.79/1.16     [ ssList( skaf46( X, Y ) ) ],
% 0.79/1.16     [ ssList( skaf45( X, Y ) ) ],
% 0.79/1.16     [ ssList( skaf43( X, Y ) ) ],
% 0.79/1.16     [ ssList( skaf42( X, Y ) ) ],
% 0.79/1.16     [ ~( =( skac3, skac2 ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.79/1.16     [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.79/1.16     [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.79/1.16     [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.79/1.16     [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.79/1.16     [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.79/1.16     [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.79/1.16     [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.79/1.16     [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.79/1.16     [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.79/1.16     [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.79/1.16     [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.79/1.16     [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.79/1.16     [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.79/1.16     [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.79/1.16     ],
% 0.79/1.16     [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP( 
% 0.79/1.16    X ) ],
% 0.79/1.16     [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP( 
% 0.79/1.16    X ) ],
% 0.79/1.16     [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.79/1.16     ) ],
% 0.79/1.16     [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.79/1.16     ) ],
% 0.79/1.16     [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.79/1.16     ) ],
% 0.79/1.16     [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.79/1.16     ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.79/1.16     [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.79/1.16     [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.79/1.16     [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.79/1.16     ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.79/1.16     [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.79/1.16     [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.79/1.16     [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.79/1.16     [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.79/1.16     ) ],
% 0.79/1.16     [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP( 
% 0.79/1.16    cons( Y, X ) ) ],
% 0.79/1.16     [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP( 
% 0.79/1.16    cons( Y, X ) ) ],
% 0.79/1.16     [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ), 
% 0.79/1.16    singletonP( Y ) ],
% 0.79/1.16     [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.79/1.16    , X ) ],
% 0.79/1.16     [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.79/1.16    , Y ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons( 
% 0.79/1.16    X, Y ) ) ],
% 0.79/1.16     [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.79/1.16    , Y ) ],
% 0.79/1.16     [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.79/1.16    , Y ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.79/1.16    , hd( Y ) ) ],
% 0.79/1.16     [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.79/1.16     ), strictorderedP( Y ), =( nil, Y ) ],
% 0.79/1.16     [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.79/1.16    , totalorderedP( Y ), =( nil, Y ) ],
% 0.79/1.16     [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.79/1.16    , =( Y, X ) ],
% 0.79/1.16     [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.79/1.16    ssList( Y ) ), =( Y, X ) ],
% 0.79/1.16     [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.79/1.16    ssList( Y ) ), =( Y, X ) ],
% 0.79/1.16     [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.79/1.16    ssList( Y ) ), =( Y, X ) ],
% 0.79/1.16     [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.79/1.16    , =( Y, X ) ],
% 0.79/1.16     [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( 
% 0.79/1.16    skaf46( X, Y ), Y ), X ) ],
% 0.79/1.16     [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.79/1.16    , skaf45( X, Y ) ), X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.79/1.16    , app( tl( Y ), X ) ) ],
% 0.79/1.16     [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.79/1.16     ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.79/1.16     [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.79/1.16    , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.79/1.16     [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( 
% 0.79/1.16    X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.79/1.16     [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( 
% 0.79/1.16    X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.79/1.16     [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), 
% 0.79/1.16    memberP( cons( Y, Z ), X ) ],
% 0.79/1.16     [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.79/1.16     ) ), memberP( cons( Z, X ), Y ) ],
% 0.79/1.16     [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.79/1.16     ) ), memberP( app( X, Z ), Y ) ],
% 0.79/1.16     [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.79/1.16     ) ), memberP( app( Z, X ), Y ) ],
% 0.79/1.16     [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78( 
% 0.79/1.16    X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.79/1.16     [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~( 
% 0.79/1.16    ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.79/1.16     [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~( 
% 0.79/1.16    ssList( Z ) ), frontsegP( Z, X ) ],
% 0.79/1.16     [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.79/1.16    , =( app( X, Y ), nil ) ],
% 0.79/1.16     [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), 
% 0.79/1.16    ~( ssItem( X ) ), gt( X, Z ) ],
% 0.79/1.16     [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.79/1.16    , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.79/1.16     [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.79/1.16    , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.79/1.16     [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z, 
% 0.79/1.16    Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.79/1.16     [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.79/1.16    , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.79/1.16     [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.79/1.16    , ~( ssList( Z ) ), =( X, Z ) ],
% 0.79/1.16     [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.79/1.16    ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.79/1.16     [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.79/1.16    ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.79/1.16     [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.79/1.16    ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.79/1.16     [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), 
% 0.79/1.16    ~( ssItem( X ) ), lt( X, Z ) ],
% 0.79/1.16     [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.79/1.16    , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.79/1.16     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app( 
% 0.79/1.16    Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.79/1.16     [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), 
% 0.79/1.16    ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.79/1.16     [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~( 
% 0.79/1.16    ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.79/1.16     [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~( 
% 0.79/1.16    ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.79/1.16     [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ), 
% 0.79/1.16    ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.79/1.16     [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons( 
% 0.79/1.16    skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons( 
% 0.79/1.16    skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons( 
% 0.79/1.16    skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons( 
% 0.79/1.16    skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons( 
% 0.79/1.16    skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons( 
% 0.79/1.16    skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.79/1.16    ,
% 0.79/1.16     [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app( 
% 0.79/1.16    skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.79/1.16     [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app( 
% 0.79/1.16    skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.79/1.16     [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.79/1.16     ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.79/1.16     [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.79/1.16     ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.79/1.16     [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList( 
% 0.82/1.31    Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.82/1.31     [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.82/1.31    , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.82/1.31     [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~( 
% 0.82/1.31    ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.82/1.31    ,
% 0.82/1.31     [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.82/1.31     ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.82/1.31     [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~( 
% 0.82/1.31    ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.82/1.31     [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.82/1.31     ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.82/1.31     [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.82/1.31     ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons( 
% 0.82/1.31    T, Y ) ) ],
% 0.82/1.31     [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.82/1.31     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~( 
% 0.82/1.31    duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.82/1.31     [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~( 
% 0.82/1.31    ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.82/1.31    , ~( ssList( U ) ), =( Y, Z ) ],
% 0.82/1.31     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.31     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.31     ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.82/1.31     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.31     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.31     ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.82/1.31     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.31     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.31     ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.82/1.31    ,
% 0.82/1.31     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.31     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.31     ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.82/1.31    ,
% 0.82/1.31     [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.82/1.31    , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.82/1.31     ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList( 
% 0.82/1.31    W ) ) ],
% 0.82/1.31     [ ssList( sk1 ) ],
% 0.82/1.31     [ ssList( sk2 ) ],
% 0.82/1.31     [ ssList( sk3 ) ],
% 0.82/1.31     [ ssList( sk4 ) ],
% 0.82/1.31     [ =( app( sk4, sk4 ), sk3 ) ],
% 0.82/1.31     [ =( sk2, sk4 ) ],
% 0.82/1.31     [ =( sk1, sk3 ) ],
% 0.82/1.31     [ ~( ssList( X ) ), ~( neq( X, nil ) ), ~( segmentP( sk2, X ) ), ~( 
% 0.82/1.31    segmentP( sk1, X ) ) ],
% 0.82/1.31     [ ~( =( nil, sk2 ) ), ~( =( nil, sk1 ) ) ]
% 0.82/1.31  ] .
% 0.82/1.31  
% 0.82/1.31  
% 0.82/1.31  percentage equality = 0.165017, percentage horn = 0.842932
% 0.82/1.31  This is a problem with some equality
% 0.82/1.31  
% 0.82/1.31  
% 0.82/1.31  
% 0.82/1.31  Options Used:
% 0.82/1.31  
% 0.82/1.31  useres =            1
% 0.82/1.31  useparamod =        1
% 0.82/1.31  useeqrefl =         1
% 0.82/1.31  useeqfact =         1
% 0.82/1.31  usefactor =         1
% 0.82/1.31  usesimpsplitting =  0
% 0.82/1.31  usesimpdemod =      5
% 0.82/1.31  usesimpres =        3
% 0.82/1.31  
% 0.82/1.31  resimpinuse      =  1000
% 0.82/1.31  resimpclauses =     20000
% 0.82/1.31  substype =          eqrewr
% 0.82/1.31  backwardsubs =      1
% 0.82/1.31  selectoldest =      5
% 0.82/1.31  
% 0.82/1.31  litorderings [0] =  split
% 0.82/1.31  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.82/1.31  
% 0.82/1.31  termordering =      kbo
% 0.82/1.31  
% 0.82/1.31  litapriori =        0
% 0.82/1.31  termapriori =       1
% 0.82/1.31  litaposteriori =    0
% 0.82/1.31  termaposteriori =   0
% 0.82/1.31  demodaposteriori =  0
% 0.82/1.31  ordereqreflfact =   0
% 0.82/1.31  
% 0.82/1.31  litselect =         negord
% 0.82/1.31  
% 0.82/1.31  maxweight =         15
% 0.82/1.31  maxdepth =          30000
% 0.82/1.31  maxlength =         115
% 0.82/1.31  maxnrvars =         195
% 0.82/1.31  excuselevel =       1
% 0.82/1.31  increasemaxweight = 1
% 0.82/1.31  
% 0.82/1.31  maxselected =       10000000
% 0.82/1.31  maxnrclauses =      10000000
% 0.82/1.31  
% 0.82/1.31  showgenerated =    0
% 0.82/1.31  showkept =         0
% 0.82/1.31  showselected =     0
% 0.82/1.31  showdeleted =      0
% 0.82/1.31  showresimp =       1
% 0.82/1.31  showstatus =       2000
% 0.82/1.31  
% 0.82/1.31  prologoutput =     1
% 0.82/1.31  nrgoals =          5000000
% 0.82/1.31  totalproof =       1
% 0.82/1.31  
% 0.82/1.31  Symbols occurring in the translation:
% 0.82/1.31  
% 0.82/1.31  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.82/1.31  .  [1, 2]      (w:1, o:76, a:1, s:1, b:0), 
% 0.82/1.31  !  [4, 1]      (w:0, o:23, a:1, s:1, b:0), 
% 4.44/4.86  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.44/4.86  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.44/4.86  nil  [39, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 4.44/4.86  equalelemsP  [40, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 4.44/4.86  duplicatefreeP  [41, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 4.44/4.86  strictorderedP  [42, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 4.44/4.86  totalorderedP  [43, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 4.44/4.86  strictorderP  [44, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 4.44/4.86  totalorderP  [45, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 4.44/4.86  cyclefreeP  [46, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 4.44/4.86  ssList  [47, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 4.44/4.86  skac3  [48, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 4.44/4.86  ssItem  [49, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 4.44/4.86  skac2  [50, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 4.44/4.86  singletonP  [51, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 4.44/4.86  skaf83  [53, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 4.44/4.86  skaf82  [54, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 4.44/4.86  skaf81  [55, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 4.44/4.86  skaf80  [56, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 4.44/4.86  skaf79  [57, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 4.44/4.86  skaf78  [58, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 4.44/4.86  skaf77  [59, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 4.44/4.86  skaf76  [60, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 4.44/4.86  skaf75  [61, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 4.44/4.86  skaf74  [62, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 4.44/4.86  skaf73  [63, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 4.44/4.86  skaf72  [64, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 4.44/4.86  skaf71  [65, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 4.44/4.86  skaf70  [66, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 4.44/4.86  skaf69  [67, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 4.44/4.86  skaf68  [68, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 4.44/4.86  skaf67  [69, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 4.44/4.86  skaf66  [70, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 4.44/4.86  skaf65  [71, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 4.44/4.86  skaf64  [72, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 4.44/4.86  skaf63  [73, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 4.44/4.86  skaf62  [74, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 4.44/4.86  skaf61  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 4.44/4.86  skaf60  [76, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 4.44/4.86  skaf59  [77, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 4.44/4.86  skaf58  [78, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 4.44/4.86  skaf57  [79, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 4.44/4.86  skaf56  [80, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 4.44/4.86  skaf55  [81, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 4.44/4.86  skaf54  [82, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 4.44/4.86  skaf53  [83, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.44/4.86  skaf52  [84, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.44/4.86  skaf51  [85, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 4.44/4.86  skaf50  [86, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 4.44/4.86  skaf49  [87, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 4.44/4.86  skaf44  [88, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 4.44/4.86  skaf48  [90, 2]      (w:1, o:105, a:1, s:1, b:0), 
% 4.44/4.86  skaf47  [91, 2]      (w:1, o:104, a:1, s:1, b:0), 
% 4.44/4.86  skaf46  [92, 2]      (w:1, o:103, a:1, s:1, b:0), 
% 4.44/4.86  skaf45  [93, 2]      (w:1, o:102, a:1, s:1, b:0), 
% 4.44/4.86  skaf43  [94, 2]      (w:1, o:107, a:1, s:1, b:0), 
% 4.44/4.86  skaf42  [95, 2]      (w:1, o:106, a:1, s:1, b:0), 
% 4.44/4.86  geq  [96, 2]      (w:1, o:109, a:1, s:1, b:0), 
% 4.44/4.86  segmentP  [97, 2]      (w:1, o:110, a:1, s:1, b:0), 
% 4.44/4.86  rearsegP  [98, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 4.44/4.86  frontsegP  [99, 2]      (w:1, o:108, a:1, s:1, b:0), 
% 4.44/4.86  leq  [100, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 4.44/4.86  lt  [101, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 4.44/4.86  cons  [102, 2]      (w:1, o:113, a:1, s:1, b:0), 
% 4.44/4.86  memberP  [103, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 4.44/4.86  app  [104, 2]      (w:1, o:115, a:1, s:1, b:0), 
% 4.44/4.86  tl  [105, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 4.44/4.86  hd  [106, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 4.44/4.86  neq  [107, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 4.44/4.86  gt  [108, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 4.44/4.86  sk1  [113, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 4.44/4.86  sk2  [114, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 4.44/4.86  sk3  [115, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 4.44/4.86  sk4  [116, 0]      (w:1, o:10, a:1, s:1, b:0).
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Starting Search:
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    4157
% 4.44/4.86  Kept:         2083
% 4.44/4.86  Inuse:        204
% 4.44/4.86  Deleted:      2
% 4.44/4.86  Deletedinuse: 0
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    8979
% 4.44/4.86  Kept:         4645
% 4.44/4.86  Inuse:        289
% 4.44/4.86  Deleted:      2
% 4.44/4.86  Deletedinuse: 0
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    14864
% 4.44/4.86  Kept:         6822
% 4.44/4.86  Inuse:        369
% 4.44/4.86  Deleted:      2
% 4.44/4.86  Deletedinuse: 0
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    24983
% 4.44/4.86  Kept:         8887
% 4.44/4.86  Inuse:        404
% 4.44/4.86  Deleted:      2
% 4.44/4.86  Deletedinuse: 0
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    40048
% 4.44/4.86  Kept:         10895
% 4.44/4.86  Inuse:        454
% 4.44/4.86  Deleted:      4
% 4.44/4.86  Deletedinuse: 2
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    44610
% 4.44/4.86  Kept:         12923
% 4.44/4.86  Inuse:        485
% 4.44/4.86  Deleted:      5
% 4.44/4.86  Deletedinuse: 2
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    50358
% 4.44/4.86  Kept:         15013
% 4.44/4.86  Inuse:        517
% 4.44/4.86  Deleted:      6
% 4.44/4.86  Deletedinuse: 2
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    60180
% 4.44/4.86  Kept:         17026
% 4.44/4.86  Inuse:        539
% 4.44/4.86  Deleted:      9
% 4.44/4.86  Deletedinuse: 3
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    72873
% 4.44/4.86  Kept:         19028
% 4.44/4.86  Inuse:        575
% 4.44/4.86  Deleted:      10
% 4.44/4.86  Deletedinuse: 4
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying clauses:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    79611
% 4.44/4.86  Kept:         21030
% 4.44/4.86  Inuse:        600
% 4.44/4.86  Deleted:      1142
% 4.44/4.86  Deletedinuse: 5
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    91932
% 4.44/4.86  Kept:         23070
% 4.44/4.86  Inuse:        625
% 4.44/4.86  Deleted:      1158
% 4.44/4.86  Deletedinuse: 21
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    102877
% 4.44/4.86  Kept:         25087
% 4.44/4.86  Inuse:        649
% 4.44/4.86  Deleted:      1158
% 4.44/4.86  Deletedinuse: 21
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    123042
% 4.44/4.86  Kept:         27273
% 4.44/4.86  Inuse:        670
% 4.44/4.86  Deleted:      1158
% 4.44/4.86  Deletedinuse: 21
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    140490
% 4.44/4.86  Kept:         29294
% 4.44/4.86  Inuse:        704
% 4.44/4.86  Deleted:      1158
% 4.44/4.86  Deletedinuse: 21
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Intermediate Status:
% 4.44/4.86  Generated:    151774
% 4.44/4.86  Kept:         31765
% 4.44/4.86  Inuse:        778
% 4.44/4.86  Deleted:      1170
% 4.44/4.86  Deletedinuse: 21
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  Resimplifying inuse:
% 4.44/4.86  Done
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  Bliksems!, er is een bewijs:
% 4.44/4.86  % SZS status Unsatisfiable
% 4.44/4.86  % SZS output start Refutation
% 4.44/4.86  
% 4.44/4.86  clause( 7, [ ssList( nil ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 56, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 4.44/4.86     )
% 4.44/4.86  .
% 4.44/4.86  clause( 141, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( 
% 4.44/4.86    ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 168, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), 
% 4.44/4.86    ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y )
% 4.44/4.86     ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 183, [ ssList( sk2 ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 186, [ =( app( sk4, sk4 ), sk3 ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 187, [ =( sk4, sk2 ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 188, [ =( sk3, sk1 ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 189, [ ~( ssList( X ) ), ~( neq( X, nil ) ), ~( segmentP( sk2, X )
% 4.44/4.86     ), ~( segmentP( sk1, X ) ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 190, [ ~( =( nil, sk2 ) ), ~( =( nil, sk1 ) ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 237, [ ~( ssList( Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), 
% 4.44/4.86    segmentP( app( app( Z, X ), Y ), X ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 239, [ ~( ssList( X ) ), ~( ssList( Y ) ), segmentP( app( app( Y, X
% 4.44/4.86     ), X ), X ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 436, [ segmentP( sk2, sk2 ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 847, [ =( app( nil, sk2 ), sk2 ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 11255, [ =( app( sk2, sk2 ), sk1 ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 13826, [ ~( =( nil, sk2 ) ), ~( ssList( sk2 ) ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 13869, [ ~( =( nil, sk2 ) ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 13887, [ ~( =( X, sk2 ) ), ~( ssList( X ) ), neq( X, nil ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 13900, [ neq( sk2, nil ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 28702, [ ~( segmentP( sk2, sk2 ) ), ~( segmentP( sk1, sk2 ) ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 29940, [ ~( segmentP( sk1, sk2 ) ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 33159, [ ~( ssList( nil ) ), segmentP( sk1, sk2 ) ] )
% 4.44/4.86  .
% 4.44/4.86  clause( 33166, [] )
% 4.44/4.86  .
% 4.44/4.86  
% 4.44/4.86  
% 4.44/4.86  % SZS output end Refutation
% 4.44/4.86  found a proof!
% 4.44/4.86  
% 4.44/4.86  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.44/4.86  
% 4.44/4.86  initialclauses(
% 4.44/4.86  [ clause( 33168, [ equalelemsP( nil ) ] )
% 4.44/4.86  , clause( 33169, [ duplicatefreeP( nil ) ] )
% 4.44/4.86  , clause( 33170, [ strictorderedP( nil ) ] )
% 4.44/4.86  , clause( 33171, [ totalorderedP( nil ) ] )
% 4.44/4.86  , clause( 33172, [ strictorderP( nil ) ] )
% 4.44/4.86  , clause( 33173, [ totalorderP( nil ) ] )
% 4.44/4.86  , clause( 33174, [ cyclefreeP( nil ) ] )
% 4.44/4.86  , clause( 33175, [ ssList( nil ) ] )
% 4.44/4.86  , clause( 33176, [ ssItem( skac3 ) ] )
% 4.44/4.86  , clause( 33177, [ ssItem( skac2 ) ] )
% 4.44/4.86  , clause( 33178, [ ~( singletonP( nil ) ) ] )
% 4.44/4.86  , clause( 33179, [ ssItem( skaf83( X ) ) ] )
% 4.44/4.86  , clause( 33180, [ ssList( skaf82( X ) ) ] )
% 4.44/4.86  , clause( 33181, [ ssList( skaf81( X ) ) ] )
% 4.44/4.86  , clause( 33182, [ ssList( skaf80( X ) ) ] )
% 4.44/4.86  , clause( 33183, [ ssItem( skaf79( X ) ) ] )
% 4.44/4.86  , clause( 33184, [ ssItem( skaf78( X ) ) ] )
% 4.44/4.86  , clause( 33185, [ ssList( skaf77( X ) ) ] )
% 4.44/4.86  , clause( 33186, [ ssList( skaf76( X ) ) ] )
% 4.44/4.86  , clause( 33187, [ ssList( skaf75( X ) ) ] )
% 4.44/4.86  , clause( 33188, [ ssItem( skaf74( X ) ) ] )
% 4.44/4.86  , clause( 33189, [ ssList( skaf73( X ) ) ] )
% 4.44/4.86  , clause( 33190, [ ssList( skaf72( X ) ) ] )
% 4.44/4.86  , clause( 33191, [ ssList( skaf71( X ) ) ] )
% 4.44/4.86  , clause( 33192, [ ssItem( skaf70( X ) ) ] )
% 4.44/4.86  , clause( 33193, [ ssItem( skaf69( X ) ) ] )
% 4.44/4.86  , clause( 33194, [ ssList( skaf68( X ) ) ] )
% 4.44/4.86  , clause( 33195, [ ssList( skaf67( X ) ) ] )
% 4.44/4.86  , clause( 33196, [ ssList( skaf66( X ) ) ] )
% 4.44/4.86  , clause( 33197, [ ssItem( skaf65( X ) ) ] )
% 4.44/4.86  , clause( 33198, [ ssItem( skaf64( X ) ) ] )
% 4.44/4.86  , clause( 33199, [ ssList( skaf63( X ) ) ] )
% 4.44/4.86  , clause( 33200, [ ssList( skaf62( X ) ) ] )
% 4.44/4.86  , clause( 33201, [ ssList( skaf61( X ) ) ] )
% 4.44/4.86  , clause( 33202, [ ssItem( skaf60( X ) ) ] )
% 4.44/4.86  , clause( 33203, [ ssItem( skaf59( X ) ) ] )
% 4.44/4.86  , clause( 33204, [ ssList( skaf58( X ) ) ] )
% 4.44/4.86  , clause( 33205, [ ssList( skaf57( X ) ) ] )
% 4.44/4.86  , clause( 33206, [ ssList( skaf56( X ) ) ] )
% 4.44/4.86  , clause( 33207, [ ssItem( skaf55( X ) ) ] )
% 4.44/4.86  , clause( 33208, [ ssItem( skaf54( X ) ) ] )
% 4.44/4.86  , clause( 33209, [ ssList( skaf53( X ) ) ] )
% 4.44/4.86  , clause( 33210, [ ssList( skaf52( X ) ) ] )
% 4.44/4.86  , clause( 33211, [ ssList( skaf51( X ) ) ] )
% 4.44/4.86  , clause( 33212, [ ssItem( skaf50( X ) ) ] )
% 4.44/4.86  , clause( 33213, [ ssItem( skaf49( X ) ) ] )
% 4.44/4.86  , clause( 33214, [ ssItem( skaf44( X ) ) ] )
% 4.44/4.86  , clause( 33215, [ ssList( skaf48( X, Y ) ) ] )
% 4.44/4.86  , clause( 33216, [ ssList( skaf47( X, Y ) ) ] )
% 4.44/4.86  , clause( 33217, [ ssList( skaf46( X, Y ) ) ] )
% 4.44/4.86  , clause( 33218, [ ssList( skaf45( X, Y ) ) ] )
% 4.44/4.86  , clause( 33219, [ ssList( skaf43( X, Y ) ) ] )
% 4.44/4.86  , clause( 33220, [ ssList( skaf42( X, Y ) ) ] )
% 4.44/4.86  , clause( 33221, [ ~( =( skac3, skac2 ) ) ] )
% 4.44/4.86  , clause( 33222, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 4.44/4.86  , clause( 33223, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 4.44/4.86  , clause( 33224, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.44/4.86  , clause( 33225, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 4.44/4.86  , clause( 33226, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 4.44/4.86  , clause( 33227, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 4.44/4.86  , clause( 33228, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 4.44/4.86  , clause( 33229, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 4.44/4.86  , clause( 33230, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 4.44/4.86  , clause( 33231, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 4.44/4.86  , clause( 33232, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 4.44/4.86  , clause( 33233, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 4.44/4.86  , clause( 33234, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 4.44/4.86  , clause( 33235, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 4.44/4.86  , clause( 33236, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 4.44/4.86  , clause( 33237, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 4.44/4.86  , clause( 33238, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 4.44/4.86  , clause( 33239, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 4.44/4.86  , clause( 33240, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.44/4.86  , clause( 33241, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.44/4.86  , clause( 33242, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.44/4.86  , clause( 33243, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.44/4.86  , clause( 33244, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.44/4.86  , clause( 33245, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.44/4.86  , clause( 33246, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 4.44/4.86     )
% 4.44/4.86  , clause( 33247, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.44/4.86     )
% 4.44/4.86  , clause( 33248, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 4.44/4.86     )
% 4.44/4.86  , clause( 33249, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.44/4.86     )
% 4.44/4.86  , clause( 33250, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 4.44/4.86     ] )
% 4.44/4.86  , clause( 33251, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 4.44/4.86     ] )
% 4.44/4.86  , clause( 33252, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 4.44/4.86     ) ] )
% 4.44/4.86  , clause( 33253, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 4.44/4.86     ) ] )
% 4.44/4.86  , clause( 33254, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), 
% 4.44/4.86    skaf49( X ) ) ] )
% 4.44/4.86  , clause( 33255, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), 
% 4.44/4.86    skaf50( X ) ) ] )
% 4.44/4.86  , clause( 33256, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), 
% 4.44/4.86    equalelemsP( X ) ] )
% 4.44/4.86  , clause( 33257, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), 
% 4.44/4.86    strictorderedP( X ) ] )
% 4.44/4.86  , clause( 33258, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), 
% 4.44/4.86    totalorderedP( X ) ] )
% 4.44/4.86  , clause( 33259, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), 
% 4.44/4.86    strictorderP( X ) ] )
% 4.44/4.86  , clause( 33260, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), 
% 4.44/4.86    strictorderP( X ) ] )
% 4.44/4.86  , clause( 33261, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), 
% 4.44/4.86    totalorderP( X ) ] )
% 4.44/4.86  , clause( 33262, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), 
% 4.44/4.86    totalorderP( X ) ] )
% 4.44/4.86  , clause( 33263, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 4.44/4.86     ), Y ) ] )
% 4.44/4.86  , clause( 33264, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 4.44/4.86     ), X ) ] )
% 4.44/4.86  , clause( 33265, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( 
% 4.44/4.86    Y ) ) ] )
% 4.44/4.86  , clause( 33266, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( 
% 4.44/4.86    Y ) ) ] )
% 4.44/4.86  , clause( 33267, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 4.44/4.86     ) ] )
% 4.44/4.86  , clause( 33268, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( 
% 4.44/4.86    X ), nil ), X ) ] )
% 4.44/4.86  , clause( 33269, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 4.44/4.86     ) ] )
% 4.44/4.86  , clause( 33270, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( 
% 4.44/4.86    X, Y ) ] )
% 4.44/4.86  , clause( 33271, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( 
% 4.51/4.86    nil, X ) ] )
% 4.51/4.86  , clause( 33272, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 4.51/4.86    Y, X ) ] )
% 4.51/4.86  , clause( 33273, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( 
% 4.51/4.86    Y, X ) ] )
% 4.51/4.86  , clause( 33274, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), 
% 4.51/4.86    leq( Y, X ) ] )
% 4.51/4.86  , clause( 33275, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), 
% 4.51/4.86    geq( Y, X ) ] )
% 4.51/4.86  , clause( 33276, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 4.51/4.86     ), =( nil, X ) ] )
% 4.51/4.86  , clause( 33277, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( 
% 4.51/4.86    ssItem( Y ) ) ] )
% 4.51/4.86  , clause( 33278, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( 
% 4.51/4.86    ssItem( X ) ) ] )
% 4.51/4.86  , clause( 33279, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), 
% 4.51/4.86    strictorderedP( cons( Y, X ) ) ] )
% 4.51/4.86  , clause( 33280, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), 
% 4.51/4.86    totalorderedP( cons( Y, X ) ) ] )
% 4.51/4.86  , clause( 33281, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( 
% 4.51/4.86    ssItem( Y ) ) ] )
% 4.51/4.86  , clause( 33282, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( 
% 4.51/4.86    ssList( X ) ) ] )
% 4.51/4.86  , clause( 33283, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( 
% 4.51/4.86    Y ) ), singletonP( Y ) ] )
% 4.51/4.86  , clause( 33284, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( 
% 4.51/4.86    ssItem( X ) ) ] )
% 4.51/4.86  , clause( 33285, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 4.51/4.86    X ) ), =( nil, X ) ] )
% 4.51/4.86  , clause( 33286, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 4.51/4.86    X ) ), =( nil, Y ) ] )
% 4.51/4.86  , clause( 33287, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 4.51/4.86     ), Y ), cons( X, Y ) ) ] )
% 4.51/4.86  , clause( 33288, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 4.51/4.86    X, Y ), =( X, Y ) ] )
% 4.51/4.86  , clause( 33289, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 4.51/4.86    X, Y ), =( X, Y ) ] )
% 4.51/4.86  , clause( 33290, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( 
% 4.51/4.86    app( Y, X ) ), hd( Y ) ) ] )
% 4.51/4.86  , clause( 33291, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 4.51/4.86    ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 4.51/4.86  , clause( 33292, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 4.51/4.86    ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 4.51/4.86  , clause( 33293, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), 
% 4.51/4.86    ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.51/4.86  , clause( 33294, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( 
% 4.51/4.86    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.51/4.86  , clause( 33295, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( 
% 4.51/4.86    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.51/4.86  , clause( 33296, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( 
% 4.51/4.86    ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.51/4.86  , clause( 33297, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), 
% 4.51/4.86    ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.51/4.86  , clause( 33298, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.51/4.86     ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 4.51/4.86  , clause( 33299, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.51/4.86     ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 4.51/4.86  , clause( 33300, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( 
% 4.51/4.86    app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 4.51/4.86  , clause( 33301, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 4.51/4.86    ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 4.51/4.86  , clause( 33302, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 4.51/4.86    ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 4.51/4.86  , clause( 33303, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.51/4.86     ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 4.51/4.86  , clause( 33304, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.51/4.86     ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 4.51/4.86  , clause( 33305, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( 
% 4.51/4.86    ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 4.51/4.86  , clause( 33306, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 4.51/4.86    , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 4.51/4.86  , clause( 33307, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 4.51/4.86    , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 4.51/4.86  , clause( 33308, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 4.51/4.86    , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 4.51/4.86  , clause( 33309, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 4.51/4.86    , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 4.51/4.86  , clause( 33310, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 4.51/4.86     ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 4.51/4.86  , clause( 33311, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.51/4.86     ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 4.51/4.86  , clause( 33312, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), 
% 4.51/4.86    ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.51/4.86  , clause( 33313, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 4.51/4.86    ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 4.51/4.86  , clause( 33314, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 4.51/4.86    ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.51/4.86  , clause( 33315, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), 
% 4.51/4.86    ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 4.51/4.86  , clause( 33316, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), 
% 4.51/4.86    =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 4.51/4.86  , clause( 33317, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), 
% 4.51/4.86    ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.51/4.86  , clause( 33318, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), 
% 4.51/4.86    ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 4.51/4.86  , clause( 33319, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( 
% 4.51/4.86    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 4.51/4.86  , clause( 33320, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( 
% 4.51/4.86    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 4.51/4.86  , clause( 33321, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( 
% 4.51/4.86    ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 4.51/4.86  , clause( 33322, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 4.51/4.86    ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.51/4.86  , clause( 33323, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), 
% 4.51/4.86    ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 4.51/4.86  , clause( 33324, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), 
% 4.51/4.86    =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 4.51/4.86  , clause( 33325, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( 
% 4.51/4.86    ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 4.51/4.86  , clause( 33326, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( 
% 4.51/4.86    ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 4.51/4.86     ) ] )
% 4.51/4.86  , clause( 33327, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( 
% 4.51/4.86    ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, 
% 4.51/4.86    Y ) ] )
% 4.51/4.86  , clause( 33328, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( 
% 4.51/4.86    ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 4.51/4.86  , clause( 33329, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( 
% 4.51/4.86    skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), 
% 4.51/4.86    skaf77( X ) ) ), X ) ] )
% 4.51/4.86  , clause( 33330, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( 
% 4.51/4.86    skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), 
% 4.51/4.86    skaf73( X ) ) ), X ) ] )
% 4.51/4.86  , clause( 33331, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( 
% 4.51/4.86    skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), 
% 4.51/4.86    skaf68( X ) ) ), X ) ] )
% 4.51/4.86  , clause( 33332, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( 
% 4.51/4.86    X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 4.51/4.86     ), X ) ] )
% 4.51/4.86  , clause( 33333, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( 
% 4.51/4.86    X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 4.51/4.86     ), X ) ] )
% 4.51/4.86  , clause( 33334, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( 
% 4.51/4.86    X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 4.51/4.86     ), X ) ] )
% 4.51/4.86  , clause( 33335, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.51/4.86     ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 4.51/4.86  , clause( 33336, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 4.51/4.86    , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 4.51/4.86  , clause( 33337, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), 
% 4.51/4.86    ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 4.51/4.86  , clause( 33338, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), 
% 4.51/4.86    ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 4.51/4.86  , clause( 33339, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 4.51/4.86     ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), 
% 4.51/4.86    Y ) ] )
% 4.51/4.86  , clause( 33340, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), 
% 4.51/4.86    ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 4.51/4.86     )
% 4.51/4.86  , clause( 33341, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( 
% 4.51/4.86    T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 4.51/4.86    , T ) ] )
% 4.51/4.86  , clause( 33342, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), 
% 4.51/4.86    ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 4.51/4.86     )
% 4.51/4.86  , clause( 33343, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( 
% 4.51/4.86    T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 4.51/4.86     )
% 4.51/4.86  , clause( 33344, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), 
% 4.51/4.86    ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 4.51/4.86     )
% 4.51/4.86  , clause( 33345, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 4.51/4.86    , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( 
% 4.51/4.86    Z, X ), cons( T, Y ) ) ] )
% 4.51/4.86  , clause( 33346, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 4.51/4.86    , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 4.51/4.86    , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 4.51/4.86  , clause( 33347, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( 
% 4.51/4.86    ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( 
% 4.51/4.86    equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 4.51/4.86  , clause( 33348, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.51/4.86    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.51/4.86    , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 4.51/4.86     ) ] )
% 4.51/4.86  , clause( 33349, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.52/4.88    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.52/4.88    , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 4.52/4.88     ) ] )
% 4.52/4.88  , clause( 33350, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.52/4.88    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.52/4.88    , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 4.52/4.88    , lt( T, Y ) ] )
% 4.52/4.88  , clause( 33351, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.52/4.88    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.52/4.88    , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 4.52/4.88    , leq( T, Y ) ] )
% 4.52/4.88  , clause( 33352, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, 
% 4.52/4.88    cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 4.52/4.88    , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 4.52/4.88     ) ), ~( ssList( W ) ) ] )
% 4.52/4.88  , clause( 33353, [ ssList( sk1 ) ] )
% 4.52/4.88  , clause( 33354, [ ssList( sk2 ) ] )
% 4.52/4.88  , clause( 33355, [ ssList( sk3 ) ] )
% 4.52/4.88  , clause( 33356, [ ssList( sk4 ) ] )
% 4.52/4.88  , clause( 33357, [ =( app( sk4, sk4 ), sk3 ) ] )
% 4.52/4.88  , clause( 33358, [ =( sk2, sk4 ) ] )
% 4.52/4.88  , clause( 33359, [ =( sk1, sk3 ) ] )
% 4.52/4.88  , clause( 33360, [ ~( ssList( X ) ), ~( neq( X, nil ) ), ~( segmentP( sk2, 
% 4.52/4.88    X ) ), ~( segmentP( sk1, X ) ) ] )
% 4.52/4.88  , clause( 33361, [ ~( =( nil, sk2 ) ), ~( =( nil, sk1 ) ) ] )
% 4.52/4.88  ] ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 7, [ ssList( nil ) ] )
% 4.52/4.88  , clause( 33175, [ ssList( nil ) ] )
% 4.52/4.88  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 56, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.52/4.88  , clause( 33224, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.52/4.88  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 4.52/4.88    1 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.52/4.88  , clause( 33241, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.52/4.88  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 4.52/4.88    1 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 4.52/4.88     )
% 4.52/4.88  , clause( 33267, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 4.52/4.88     ) ] )
% 4.52/4.88  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.52/4.88     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 141, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( 
% 4.52/4.88    ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.52/4.88  , clause( 33312, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), 
% 4.52/4.88    ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.52/4.88  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.52/4.88     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 168, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), 
% 4.52/4.88    ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y )
% 4.52/4.88     ] )
% 4.52/4.88  , clause( 33339, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 4.52/4.88     ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), 
% 4.52/4.88    Y ) ] )
% 4.52/4.88  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 4.52/4.88    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 4.52/4.88    ==>( 4, 4 ), ==>( 5, 5 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 183, [ ssList( sk2 ) ] )
% 4.52/4.88  , clause( 33354, [ ssList( sk2 ) ] )
% 4.52/4.88  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 186, [ =( app( sk4, sk4 ), sk3 ) ] )
% 4.52/4.88  , clause( 33357, [ =( app( sk4, sk4 ), sk3 ) ] )
% 4.52/4.88  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  eqswap(
% 4.52/4.88  clause( 36069, [ =( sk4, sk2 ) ] )
% 4.52/4.88  , clause( 33358, [ =( sk2, sk4 ) ] )
% 4.52/4.88  , 0, substitution( 0, [] )).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 187, [ =( sk4, sk2 ) ] )
% 4.52/4.88  , clause( 36069, [ =( sk4, sk2 ) ] )
% 4.52/4.88  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  eqswap(
% 4.52/4.88  clause( 36829, [ =( sk3, sk1 ) ] )
% 4.52/4.88  , clause( 33359, [ =( sk1, sk3 ) ] )
% 4.52/4.88  , 0, substitution( 0, [] )).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 188, [ =( sk3, sk1 ) ] )
% 4.52/4.88  , clause( 36829, [ =( sk3, sk1 ) ] )
% 4.52/4.88  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.52/4.88  
% 4.52/4.88  
% 4.52/4.88  subsumption(
% 4.52/4.88  clause( 189, [ ~( ssList( X ) ), ~( neq( X, nil ) ), ~( segmentP( sk2, X )
% 4.52/4.89     ), ~( segmentP( sk1, X ) ) ] )
% 4.52/4.89  , clause( 33360, [ ~( ssList( X ) ), ~( neq( X, nil ) ), ~( segmentP( sk2, 
% 4.52/4.89    X ) ), ~( segmentP( sk1, X ) ) ] )
% 4.52/4.89  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 4.52/4.89    1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  subsumption(
% 4.52/4.89  clause( 190, [ ~( =( nil, sk2 ) ), ~( =( nil, sk1 ) ) ] )
% 4.52/4.89  , clause( 33361, [ ~( =( nil, sk2 ) ), ~( =( nil, sk1 ) ) ] )
% 4.52/4.89  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.52/4.89     ).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  factor(
% 4.52/4.89  clause( 38358, [ ~( segmentP( X, X ) ), ~( ssList( Y ) ), ~( ssList( Z ) )
% 4.52/4.89    , ~( ssList( X ) ), segmentP( app( app( Z, X ), Y ), X ) ] )
% 4.52/4.89  , clause( 168, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) )
% 4.52/4.89    , ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y
% 4.52/4.89     ) ] )
% 4.52/4.89  , 3, 4, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 4.52/4.89    ).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  resolution(
% 4.52/4.89  clause( 38381, [ ~( ssList( Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), 
% 4.52/4.89    segmentP( app( app( Z, X ), Y ), X ), ~( ssList( X ) ) ] )
% 4.52/4.89  , clause( 38358, [ ~( segmentP( X, X ) ), ~( ssList( Y ) ), ~( ssList( Z )
% 4.52/4.89     ), ~( ssList( X ) ), segmentP( app( app( Z, X ), Y ), X ) ] )
% 4.52/4.89  , 0, clause( 56, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.52/4.89  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 4.52/4.89    substitution( 1, [ :=( X, X )] )).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  factor(
% 4.52/4.89  clause( 38385, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), 
% 4.52/4.89    segmentP( app( app( Y, Z ), X ), Z ) ] )
% 4.52/4.89  , clause( 38381, [ ~( ssList( Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), 
% 4.52/4.89    segmentP( app( app( Z, X ), Y ), X ), ~( ssList( X ) ) ] )
% 4.52/4.89  , 2, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  subsumption(
% 4.52/4.89  clause( 237, [ ~( ssList( Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), 
% 4.52/4.89    segmentP( app( app( Z, X ), Y ), X ) ] )
% 4.52/4.89  , clause( 38385, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), 
% 4.52/4.89    segmentP( app( app( Y, Z ), X ), Z ) ] )
% 4.52/4.89  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 4.52/4.89    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 4.52/4.89     ).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  factor(
% 4.52/4.89  clause( 38391, [ ~( ssList( X ) ), ~( ssList( Y ) ), segmentP( app( app( Y
% 4.52/4.89    , X ), X ), X ) ] )
% 4.52/4.89  , clause( 237, [ ~( ssList( Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), 
% 4.52/4.89    segmentP( app( app( Z, X ), Y ), X ) ] )
% 4.52/4.89  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  subsumption(
% 4.52/4.89  clause( 239, [ ~( ssList( X ) ), ~( ssList( Y ) ), segmentP( app( app( Y, X
% 4.52/4.89     ), X ), X ) ] )
% 4.52/4.89  , clause( 38391, [ ~( ssList( X ) ), ~( ssList( Y ) ), segmentP( app( app( 
% 4.52/4.89    Y, X ), X ), X ) ] )
% 4.52/4.89  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.52/4.89     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  resolution(
% 4.52/4.89  clause( 38394, [ segmentP( sk2, sk2 ) ] )
% 4.52/4.89  , clause( 56, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.52/4.89  , 0, clause( 183, [ ssList( sk2 ) ] )
% 4.52/4.89  , 0, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  subsumption(
% 4.52/4.89  clause( 436, [ segmentP( sk2, sk2 ) ] )
% 4.52/4.89  , clause( 38394, [ segmentP( sk2, sk2 ) ] )
% 4.52/4.89  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  eqswap(
% 4.52/4.89  clause( 38395, [ =( X, app( nil, X ) ), ~( ssList( X ) ) ] )
% 4.52/4.89  , clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.52/4.89  , 1, substitution( 0, [ :=( X, X )] )).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  resolution(
% 4.52/4.89  clause( 38396, [ =( sk2, app( nil, sk2 ) ) ] )
% 4.52/4.89  , clause( 38395, [ =( X, app( nil, X ) ), ~( ssList( X ) ) ] )
% 4.52/4.89  , 1, clause( 183, [ ssList( sk2 ) ] )
% 4.52/4.89  , 0, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  eqswap(
% 4.52/4.89  clause( 38397, [ =( app( nil, sk2 ), sk2 ) ] )
% 4.52/4.89  , clause( 38396, [ =( sk2, app( nil, sk2 ) ) ] )
% 4.52/4.89  , 0, substitution( 0, [] )).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  subsumption(
% 4.52/4.89  clause( 847, [ =( app( nil, sk2 ), sk2 ) ] )
% 4.52/4.89  , clause( 38397, [ =( app( nil, sk2 ), sk2 ) ] )
% 4.52/4.89  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  paramod(
% 4.52/4.89  clause( 38402, [ =( app( sk4, sk2 ), sk3 ) ] )
% 4.52/4.89  , clause( 187, [ =( sk4, sk2 ) ] )
% 4.52/4.89  , 0, clause( 186, [ =( app( sk4, sk4 ), sk3 ) ] )
% 4.52/4.89  , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 4.52/4.89  
% 4.52/4.89  
% 4.52/4.89  paramod(
% 4.52/4.89  clause( 38403, [ =( app( sk2, sk2 ), sk3 ) ] )
% 4.52/4.89  , clause( 187, [ =( sk4, sk2 ) ] )
% 4.52/4.89  , 0, clause( 38402, [ =( app( sk4, sk2 ), sk3 ) ] )
% 4.52/4.89  , 0, 2, substitution( 0, [] ), suCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------