TSTP Solution File: SWC112-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWC112-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.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 19:33:55 EDT 2022

% Result   : Unsatisfiable 7.67s 8.04s
% Output   : Refutation 7.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWC112-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n013.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 21:35:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.72/1.11  *** allocated 10000 integers for termspace/termends
% 0.72/1.11  *** allocated 10000 integers for clauses
% 0.72/1.11  *** allocated 10000 integers for justifications
% 0.72/1.11  Bliksem 1.12
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Automatic Strategy Selection
% 0.72/1.11  
% 0.72/1.11  Clauses:
% 0.72/1.11  [
% 0.72/1.11     [ equalelemsP( nil ) ],
% 0.72/1.11     [ duplicatefreeP( nil ) ],
% 0.72/1.11     [ strictorderedP( nil ) ],
% 0.72/1.11     [ totalorderedP( nil ) ],
% 0.72/1.11     [ strictorderP( nil ) ],
% 0.72/1.11     [ totalorderP( nil ) ],
% 0.72/1.11     [ cyclefreeP( nil ) ],
% 0.72/1.11     [ ssList( nil ) ],
% 0.72/1.11     [ ssItem( skac3 ) ],
% 0.72/1.11     [ ssItem( skac2 ) ],
% 0.72/1.11     [ ~( singletonP( nil ) ) ],
% 0.72/1.11     [ ssItem( skaf83( X ) ) ],
% 0.72/1.11     [ ssList( skaf82( X ) ) ],
% 0.72/1.11     [ ssList( skaf81( X ) ) ],
% 0.72/1.11     [ ssList( skaf80( X ) ) ],
% 0.72/1.11     [ ssItem( skaf79( X ) ) ],
% 0.72/1.11     [ ssItem( skaf78( X ) ) ],
% 0.72/1.11     [ ssList( skaf77( X ) ) ],
% 0.72/1.11     [ ssList( skaf76( X ) ) ],
% 0.72/1.11     [ ssList( skaf75( X ) ) ],
% 0.72/1.11     [ ssItem( skaf74( X ) ) ],
% 0.72/1.11     [ ssList( skaf73( X ) ) ],
% 0.72/1.11     [ ssList( skaf72( X ) ) ],
% 0.72/1.11     [ ssList( skaf71( X ) ) ],
% 0.72/1.11     [ ssItem( skaf70( X ) ) ],
% 0.72/1.11     [ ssItem( skaf69( X ) ) ],
% 0.72/1.11     [ ssList( skaf68( X ) ) ],
% 0.72/1.11     [ ssList( skaf67( X ) ) ],
% 0.72/1.11     [ ssList( skaf66( X ) ) ],
% 0.72/1.11     [ ssItem( skaf65( X ) ) ],
% 0.72/1.11     [ ssItem( skaf64( X ) ) ],
% 0.72/1.11     [ ssList( skaf63( X ) ) ],
% 0.72/1.11     [ ssList( skaf62( X ) ) ],
% 0.72/1.11     [ ssList( skaf61( X ) ) ],
% 0.72/1.11     [ ssItem( skaf60( X ) ) ],
% 0.72/1.11     [ ssItem( skaf59( X ) ) ],
% 0.72/1.11     [ ssList( skaf58( X ) ) ],
% 0.72/1.11     [ ssList( skaf57( X ) ) ],
% 0.72/1.11     [ ssList( skaf56( X ) ) ],
% 0.72/1.11     [ ssItem( skaf55( X ) ) ],
% 0.72/1.11     [ ssItem( skaf54( X ) ) ],
% 0.72/1.11     [ ssList( skaf53( X ) ) ],
% 0.72/1.11     [ ssList( skaf52( X ) ) ],
% 0.72/1.11     [ ssList( skaf51( X ) ) ],
% 0.72/1.11     [ ssItem( skaf50( X ) ) ],
% 0.72/1.11     [ ssItem( skaf49( X ) ) ],
% 0.72/1.11     [ ssItem( skaf44( X ) ) ],
% 0.72/1.11     [ ssList( skaf48( X, Y ) ) ],
% 0.72/1.11     [ ssList( skaf47( X, Y ) ) ],
% 0.72/1.11     [ ssList( skaf46( X, Y ) ) ],
% 0.72/1.11     [ ssList( skaf45( X, Y ) ) ],
% 0.72/1.11     [ ssList( skaf43( X, Y ) ) ],
% 0.72/1.11     [ ssList( skaf42( X, Y ) ) ],
% 0.72/1.11     [ ~( =( skac3, skac2 ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.72/1.11     [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.72/1.11     [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.72/1.11     [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.72/1.11     [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.72/1.11     [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.11     [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.72/1.11     [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.11     [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.72/1.11     [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11     [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.72/1.11     [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11     [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.72/1.11     [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.72/1.11     [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.72/1.11     ],
% 0.72/1.11     [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP( 
% 0.72/1.11    X ) ],
% 0.72/1.11     [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP( 
% 0.72/1.11    X ) ],
% 0.72/1.11     [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.11     ) ],
% 0.72/1.11     [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.11     ) ],
% 0.72/1.11     [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.11     ) ],
% 0.72/1.11     [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.11     ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.72/1.11     [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.11     [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.11     [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.72/1.11     ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.11     [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.72/1.11     [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.72/1.11     [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.72/1.11     [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.72/1.11     ) ],
% 0.72/1.11     [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP( 
% 0.72/1.11    cons( Y, X ) ) ],
% 0.72/1.11     [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP( 
% 0.72/1.11    cons( Y, X ) ) ],
% 0.72/1.11     [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ), 
% 0.72/1.11    singletonP( Y ) ],
% 0.72/1.11     [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.11    , X ) ],
% 0.72/1.11     [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.11    , Y ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons( 
% 0.72/1.11    X, Y ) ) ],
% 0.72/1.11     [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.11    , Y ) ],
% 0.72/1.11     [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.11    , Y ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.72/1.11    , hd( Y ) ) ],
% 0.72/1.11     [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.11     ), strictorderedP( Y ), =( nil, Y ) ],
% 0.72/1.11     [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.11    , totalorderedP( Y ), =( nil, Y ) ],
% 0.72/1.11     [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.11    , =( Y, X ) ],
% 0.72/1.11     [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.72/1.11    ssList( Y ) ), =( Y, X ) ],
% 0.72/1.11     [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.72/1.11    ssList( Y ) ), =( Y, X ) ],
% 0.72/1.11     [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.72/1.11    ssList( Y ) ), =( Y, X ) ],
% 0.72/1.11     [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.11    , =( Y, X ) ],
% 0.72/1.11     [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( 
% 0.72/1.11    skaf46( X, Y ), Y ), X ) ],
% 0.72/1.11     [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.72/1.11    , skaf45( X, Y ) ), X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.72/1.11    , app( tl( Y ), X ) ) ],
% 0.72/1.11     [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.11     ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.11     [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.11    , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.11     [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( 
% 0.72/1.11    X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.72/1.11     [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( 
% 0.72/1.11    X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.72/1.11     [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), 
% 0.72/1.11    memberP( cons( Y, Z ), X ) ],
% 0.72/1.11     [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.72/1.11     ) ), memberP( cons( Z, X ), Y ) ],
% 0.72/1.11     [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.72/1.11     ) ), memberP( app( X, Z ), Y ) ],
% 0.72/1.11     [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.72/1.11     ) ), memberP( app( Z, X ), Y ) ],
% 0.72/1.11     [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78( 
% 0.72/1.11    X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.72/1.11     [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~( 
% 0.72/1.11    ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.72/1.11     [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~( 
% 0.72/1.11    ssList( Z ) ), frontsegP( Z, X ) ],
% 0.72/1.11     [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.11    , =( app( X, Y ), nil ) ],
% 0.72/1.11     [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), 
% 0.72/1.11    ~( ssItem( X ) ), gt( X, Z ) ],
% 0.72/1.11     [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.11    , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.11     [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.11    , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.72/1.11     [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z, 
% 0.72/1.11    Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.72/1.11     [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.11    , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.72/1.11     [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.72/1.11    , ~( ssList( Z ) ), =( X, Z ) ],
% 0.72/1.11     [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.72/1.11    ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.72/1.11     [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.72/1.11    ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.72/1.11     [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.72/1.11    ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.72/1.11     [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), 
% 0.72/1.11    ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.11     [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.11    , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app( 
% 0.72/1.11    Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.72/1.11     [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), 
% 0.72/1.11    ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.72/1.11     [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~( 
% 0.72/1.11    ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.11     [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~( 
% 0.72/1.11    ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.11     [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ), 
% 0.72/1.11    ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.72/1.11     [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons( 
% 0.72/1.11    skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons( 
% 0.72/1.11    skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons( 
% 0.72/1.11    skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons( 
% 0.72/1.11    skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons( 
% 0.72/1.11    skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons( 
% 0.72/1.11    skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app( 
% 0.72/1.11    skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.72/1.11     [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app( 
% 0.72/1.11    skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.72/1.11     [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.11     ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.72/1.11     [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.11     ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.72/1.11     [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList( 
% 0.72/1.11    Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.72/1.11     [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.72/1.11    , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.72/1.11     [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~( 
% 0.72/1.11    ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.72/1.11     ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.72/1.11     [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~( 
% 0.72/1.11    ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.72/1.11     [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.72/1.11     ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.72/1.11     [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.72/1.11     ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons( 
% 0.72/1.11    T, Y ) ) ],
% 0.72/1.11     [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.72/1.11     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~( 
% 0.72/1.11    duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.72/1.11     [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~( 
% 0.72/1.11    ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.72/1.11    , ~( ssList( U ) ), =( Y, Z ) ],
% 0.72/1.11     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.11     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.11     ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.72/1.11     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.11     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.11     ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.72/1.11     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.11     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.11     ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.11     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.11     ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.72/1.11    , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.72/1.11     ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList( 
% 0.72/1.11    W ) ) ],
% 0.72/1.11     [ ssList( sk1 ) ],
% 0.72/1.11     [ ssList( sk2 ) ],
% 0.72/1.11     [ ssList( sk3 ) ],
% 0.72/1.11     [ ssList( sk4 ) ],
% 0.72/1.11     [ =( sk2, sk4 ) ],
% 0.72/1.11     [ =( sk1, sk3 ) ],
% 0.72/1.11     [ ssList( sk5 ) ],
% 0.72/1.11     [ ssList( sk6 ) ],
% 0.72/1.11     [ =( app( app( sk5, sk3 ), sk6 ), sk4 ) ],
% 0.72/1.11     [ strictorderedP( sk3 ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) ), 
% 0.72/1.11    sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( cons( Z, nil ), T
% 0.72/1.11     ), sk3 ) ), ~( lt( X, Z ) ) ],
% 0.72/1.11     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, nil ), Y ), 
% 0.72/1.11    sk6 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T, cons( Z, nil )
% 0.72/1.11     ), sk3 ) ), ~( lt( Z, X ) ) ],
% 0.72/1.11     [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ],
% 0.72/1.11     [ =( nil, sk2 ), neq( sk2, nil ) ],
% 0.72/1.11     [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( segmentP( sk2, sk1 ) ) ],
% 0.72/1.11     [ ~( =( nil, sk1 ) ), neq( sk2, nil ) ],
% 0.72/1.11     [ ~( =( nil, sk1 ) ), ~( neq( sk1, nil ) ), ~( segmentP( sk2, sk1 ) ) ]
% 0.72/1.11    
% 0.72/1.11  ] .
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  percentage equality = 0.171701, percentage horn = 0.844221
% 0.72/1.11  This is a problem with some equality
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Options Used:
% 0.72/1.11  
% 0.72/1.11  useres =            1
% 0.72/1.11  useparamod =        1
% 0.72/1.11  useeqrefl =         1
% 0.72/1.11  useeqfact =         1
% 0.72/1.11  usefactor =         1
% 0.72/1.11  usesimpsplitting =  0
% 0.72/1.11  usesimpdemod =      5
% 0.72/1.11  usesimpres =        3
% 0.72/1.11  
% 0.72/1.11  resimpinuse      =  1000
% 0.72/1.11  resimpclauses =     20000
% 0.72/1.11  substype =          eqrewr
% 0.72/1.11  backwardsubs =      1
% 0.72/1.11  selectoldest =      5
% 0.72/1.11  
% 0.72/1.11  litorderings [0] =  split
% 0.72/1.11  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.72/1.11  
% 0.72/1.11  termordering =      kbo
% 0.72/1.11  
% 0.72/1.11  litapriori =        0
% 0.72/1.11  termapriori =       1
% 0.72/1.11  litaposteriori =    0
% 0.72/1.11  termaposteriori =   0
% 0.72/1.11  demodaposteriori =  0
% 0.72/1.11  ordereqreflfact =   0
% 0.72/1.11  
% 0.72/1.11  litselect =         negord
% 7.67/8.04  
% 7.67/8.04  maxweight =         15
% 7.67/8.04  maxdepth =          30000
% 7.67/8.04  maxlength =         115
% 7.67/8.04  maxnrvars =         195
% 7.67/8.04  excuselevel =       1
% 7.67/8.04  increasemaxweight = 1
% 7.67/8.04  
% 7.67/8.04  maxselected =       10000000
% 7.67/8.04  maxnrclauses =      10000000
% 7.67/8.04  
% 7.67/8.04  showgenerated =    0
% 7.67/8.04  showkept =         0
% 7.67/8.04  showselected =     0
% 7.67/8.04  showdeleted =      0
% 7.67/8.04  showresimp =       1
% 7.67/8.04  showstatus =       2000
% 7.67/8.04  
% 7.67/8.04  prologoutput =     1
% 7.67/8.04  nrgoals =          5000000
% 7.67/8.04  totalproof =       1
% 7.67/8.04  
% 7.67/8.04  Symbols occurring in the translation:
% 7.67/8.04  
% 7.67/8.04  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 7.67/8.04  .  [1, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 7.67/8.04  !  [4, 1]      (w:0, o:28, a:1, s:1, b:0), 
% 7.67/8.04  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 7.67/8.04  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 7.67/8.04  nil  [39, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 7.67/8.04  equalelemsP  [40, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 7.67/8.04  duplicatefreeP  [41, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 7.67/8.04  strictorderedP  [42, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 7.67/8.04  totalorderedP  [43, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 7.67/8.04  strictorderP  [44, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 7.67/8.04  totalorderP  [45, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 7.67/8.04  cyclefreeP  [46, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 7.67/8.04  ssList  [47, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 7.67/8.04  skac3  [48, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 7.67/8.04  ssItem  [49, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 7.67/8.04  skac2  [50, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 7.67/8.04  singletonP  [51, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 7.67/8.04  skaf83  [53, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 7.67/8.04  skaf82  [54, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 7.67/8.04  skaf81  [55, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 7.67/8.04  skaf80  [56, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 7.67/8.04  skaf79  [57, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 7.67/8.04  skaf78  [58, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 7.67/8.04  skaf77  [59, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 7.67/8.04  skaf76  [60, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 7.67/8.04  skaf75  [61, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 7.67/8.04  skaf74  [62, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 7.67/8.04  skaf73  [63, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 7.67/8.04  skaf72  [64, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 7.67/8.04  skaf71  [65, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 7.67/8.04  skaf70  [66, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 7.67/8.04  skaf69  [67, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 7.67/8.04  skaf68  [68, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 7.67/8.04  skaf67  [69, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 7.67/8.04  skaf66  [70, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 7.67/8.04  skaf65  [71, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 7.67/8.04  skaf64  [72, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 7.67/8.04  skaf63  [73, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 7.67/8.04  skaf62  [74, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 7.67/8.04  skaf61  [75, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 7.67/8.04  skaf60  [76, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 7.67/8.04  skaf59  [77, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 7.67/8.04  skaf58  [78, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 7.67/8.04  skaf57  [79, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 7.67/8.04  skaf56  [80, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 7.67/8.04  skaf55  [81, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 7.67/8.04  skaf54  [82, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 7.67/8.04  skaf53  [83, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 7.67/8.04  skaf52  [84, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 7.67/8.04  skaf51  [85, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 7.67/8.04  skaf50  [86, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 7.67/8.04  skaf49  [87, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 7.67/8.04  skaf44  [88, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 7.67/8.04  skaf48  [90, 2]      (w:1, o:110, a:1, s:1, b:0), 
% 7.67/8.04  skaf47  [91, 2]      (w:1, o:109, a:1, s:1, b:0), 
% 7.67/8.04  skaf46  [92, 2]      (w:1, o:108, a:1, s:1, b:0), 
% 7.67/8.04  skaf45  [93, 2]      (w:1, o:107, a:1, s:1, b:0), 
% 7.67/8.04  skaf43  [94, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 7.67/8.04  skaf42  [95, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 7.67/8.04  geq  [96, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 7.67/8.04  segmentP  [97, 2]      (w:1, o:115, a:1, s:1, b:0), 
% 7.67/8.04  rearsegP  [98, 2]      (w:1, o:106, a:1, s:1, b:0), 
% 7.67/8.04  frontsegP  [99, 2]      (w:1, o:113, a:1, s:1, b:0), 
% 7.67/8.04  leq  [100, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 7.67/8.04  lt  [101, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 7.67/8.04  cons  [102, 2]      (w:1, o:118, a:1, s:1, b:0), 
% 7.67/8.04  memberP  [103, 2]      (w:1, o:119, a:1, s:1, b:0), 
% 7.67/8.04  app  [104, 2]      (w:1, o:120, a:1, s:1, b:0), 
% 7.67/8.04  tl  [105, 1]      (w:1, o:79, a:1, s:1, b:0), 
% 7.67/8.04  hd  [106, 1]      (w:1, o:80, a:1, s:1, b:0), 
% 7.67/8.04  neq  [107, 2]      (w:1, o:121, a:1, s:1, b:0), 
% 7.67/8.04  gt  [108, 2]      (w:1, o:122, a:1, s:1, b:0), 
% 7.67/8.04  sk1  [113, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 7.67/8.04  sk2  [114, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 7.67/8.04  sk3  [115, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 7.67/8.04  sk4  [116, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 7.67/8.04  sk5  [117, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 7.67/8.04  sk6  [118, 0]      (w:1, o:12, a:1, s:1, b:0).
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Starting Search:
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    4183
% 7.67/8.04  Kept:         2080
% 7.67/8.04  Inuse:        209
% 7.67/8.04  Deleted:      2
% 7.67/8.04  Deletedinuse: 0
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    9126
% 7.67/8.04  Kept:         4720
% 7.67/8.04  Inuse:        294
% 7.67/8.04  Deleted:      2
% 7.67/8.04  Deletedinuse: 0
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    15114
% 7.67/8.04  Kept:         7107
% 7.67/8.04  Inuse:        374
% 7.67/8.04  Deleted:      2
% 7.67/8.04  Deletedinuse: 0
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    25421
% 7.67/8.04  Kept:         9352
% 7.67/8.04  Inuse:        409
% 7.67/8.04  Deleted:      2
% 7.67/8.04  Deletedinuse: 0
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    40602
% 7.67/8.04  Kept:         11496
% 7.67/8.04  Inuse:        459
% 7.67/8.04  Deleted:      4
% 7.67/8.04  Deletedinuse: 2
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    47701
% 7.67/8.04  Kept:         13499
% 7.67/8.04  Inuse:        509
% 7.67/8.04  Deleted:      4
% 7.67/8.04  Deletedinuse: 2
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    54102
% 7.67/8.04  Kept:         15524
% 7.67/8.04  Inuse:        533
% 7.67/8.04  Deleted:      5
% 7.67/8.04  Deletedinuse: 3
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    63279
% 7.67/8.04  Kept:         17546
% 7.67/8.04  Inuse:        565
% 7.67/8.04  Deleted:      5
% 7.67/8.04  Deletedinuse: 3
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    74139
% 7.67/8.04  Kept:         19546
% 7.67/8.04  Inuse:        593
% 7.67/8.04  Deleted:      7
% 7.67/8.04  Deletedinuse: 5
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying clauses:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    80869
% 7.67/8.04  Kept:         21617
% 7.67/8.04  Inuse:        619
% 7.67/8.04  Deleted:      1011
% 7.67/8.04  Deletedinuse: 14
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    93750
% 7.67/8.04  Kept:         23663
% 7.67/8.04  Inuse:        639
% 7.67/8.04  Deleted:      1011
% 7.67/8.04  Deletedinuse: 14
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    106527
% 7.67/8.04  Kept:         25847
% 7.67/8.04  Inuse:        664
% 7.67/8.04  Deleted:      1011
% 7.67/8.04  Deletedinuse: 14
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    124038
% 7.67/8.04  Kept:         27859
% 7.67/8.04  Inuse:        683
% 7.67/8.04  Deleted:      1011
% 7.67/8.04  Deletedinuse: 14
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    140582
% 7.67/8.04  Kept:         30115
% 7.67/8.04  Inuse:        714
% 7.67/8.04  Deleted:      1011
% 7.67/8.04  Deletedinuse: 14
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    151098
% 7.67/8.04  Kept:         32143
% 7.67/8.04  Inuse:        762
% 7.67/8.04  Deleted:      1061
% 7.67/8.04  Deletedinuse: 59
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    160834
% 7.67/8.04  Kept:         34156
% 7.67/8.04  Inuse:        817
% 7.67/8.04  Deleted:      1065
% 7.67/8.04  Deletedinuse: 59
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    177171
% 7.67/8.04  Kept:         36396
% 7.67/8.04  Inuse:        857
% 7.67/8.04  Deleted:      1065
% 7.67/8.04  Deletedinuse: 59
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Intermediate Status:
% 7.67/8.04  Generated:    195873
% 7.67/8.04  Kept:         38423
% 7.67/8.04  Inuse:        916
% 7.67/8.04  Deleted:      1065
% 7.67/8.04  Deletedinuse: 59
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying inuse:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  Resimplifying clauses:
% 7.67/8.04  Done
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  Bliksems!, er is een bewijs:
% 7.67/8.04  % SZS status Unsatisfiable
% 7.67/8.04  % SZS output start Refutation
% 7.67/8.04  
% 7.67/8.04  clause( 7, [ ssList( nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 55, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 56, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 77, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 7.67/8.04     )
% 7.67/8.04  .
% 7.67/8.04  clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( 
% 7.67/8.04    ssList( X ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 116, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 7.67/8.04     ), =( nil, Y ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 123, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X )
% 7.67/8.04     ), ~( ssList( Y ) ), =( Y, X ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( 
% 7.67/8.04    ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 169, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( 
% 7.67/8.04    ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 182, [ ssList( sk1 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 183, [ ssList( sk2 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 186, [ =( sk4, sk2 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 187, [ =( sk3, sk1 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 188, [ ssList( sk5 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 189, [ ssList( sk6 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 190, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 194, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 195, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 196, [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( segmentP( sk2, sk1 )
% 7.67/8.04     ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 197, [ neq( sk2, nil ), ~( =( sk2, sk1 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 204, [ ~( neq( X, X ) ), ~( ssList( X ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 368, [ ~( neq( sk1, sk1 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 369, [ ~( neq( sk2, sk2 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 416, [ segmentP( sk1, nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 896, [ =( app( nil, sk1 ), sk1 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 1310, [ ~( segmentP( nil, sk1 ) ), =( nil, sk1 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 3487, [ ~( ssList( Y ) ), =( app( Y, X ), Y ), ~( ssList( X ) ), 
% 7.67/8.04    neq( X, nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 12459, [ ~( =( nil, sk1 ) ), ~( ssList( sk2 ) ), =( sk2, sk1 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 20221, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 25566, [ ~( =( X, sk1 ) ), =( sk2, sk1 ), ~( ssList( X ) ), neq( X
% 7.67/8.04    , nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 25569, [ ~( =( X, sk1 ) ), =( sk2, sk1 ), ~( segmentP( nil, X ) ), 
% 7.67/8.04    ~( ssList( X ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 25570, [ =( sk2, sk1 ), ~( segmentP( nil, sk1 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 25573, [ =( sk2, sk1 ), neq( sk1, nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 28216, [ =( nil, sk1 ), neq( sk1, nil ), ~( ssList( X ) ), ~( =( X
% 7.67/8.04    , nil ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 28236, [ =( nil, sk1 ), neq( sk1, nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 29368, [ ~( =( sk2, X ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) ), 
% 7.67/8.04    ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 29423, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), segmentP( sk2, sk1
% 7.67/8.04     ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 30103, [ segmentP( sk1, sk2 ), neq( sk2, nil ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 30263, [ =( nil, sk2 ), ~( segmentP( sk2, sk1 ) ), =( nil, sk1 ) ]
% 7.67/8.04     )
% 7.67/8.04  .
% 7.67/8.04  clause( 30264, [ =( nil, sk2 ), ~( segmentP( sk2, sk1 ) ), =( sk2, sk1 ) ]
% 7.67/8.04     )
% 7.67/8.04  .
% 7.67/8.04  clause( 30630, [ =( nil, sk2 ), ~( segmentP( sk2, sk1 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 30770, [ ~( segmentP( nil, sk1 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 30849, [ ~( segmentP( sk2, sk1 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 30890, [ ~( segmentP( X, sk1 ) ), ~( =( app( Y, sk2 ), app( Y, X )
% 7.67/8.04     ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 33395, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), =( sk2, sk1 ), neq( 
% 7.67/8.04    sk2, sk2 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 40685, [ =( sk2, sk1 ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 40827, [ ~( segmentP( X, sk1 ) ), ~( ssList( Y ) ), ~( ssList( X )
% 7.67/8.04     ), ~( =( app( Y, sk1 ), app( Y, X ) ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 41151, [ ~( ssList( X ) ), ~( ssList( sk1 ) ) ] )
% 7.67/8.04  .
% 7.67/8.04  clause( 41152, [] )
% 7.67/8.04  .
% 7.67/8.04  
% 7.67/8.04  
% 7.67/8.04  % SZS output end Refutation
% 7.67/8.04  found a proof!
% 7.67/8.04  
% 7.67/8.04  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.67/8.04  
% 7.67/8.04  initialclauses(
% 7.67/8.04  [ clause( 41154, [ equalelemsP( nil ) ] )
% 7.67/8.04  , clause( 41155, [ duplicatefreeP( nil ) ] )
% 7.67/8.04  , clause( 41156, [ strictorderedP( nil ) ] )
% 7.67/8.04  , clause( 41157, [ totalorderedP( nil ) ] )
% 7.67/8.04  , clause( 41158, [ strictorderP( nil ) ] )
% 7.67/8.04  , clause( 41159, [ totalorderP( nil ) ] )
% 7.67/8.04  , clause( 41160, [ cyclefreeP( nil ) ] )
% 7.67/8.04  , clause( 41161, [ ssList( nil ) ] )
% 7.67/8.04  , clause( 41162, [ ssItem( skac3 ) ] )
% 7.67/8.04  , clause( 41163, [ ssItem( skac2 ) ] )
% 7.67/8.04  , clause( 41164, [ ~( singletonP( nil ) ) ] )
% 7.67/8.04  , clause( 41165, [ ssItem( skaf83( X ) ) ] )
% 7.67/8.04  , clause( 41166, [ ssList( skaf82( X ) ) ] )
% 7.67/8.04  , clause( 41167, [ ssList( skaf81( X ) ) ] )
% 7.67/8.04  , clause( 41168, [ ssList( skaf80( X ) ) ] )
% 7.67/8.04  , clause( 41169, [ ssItem( skaf79( X ) ) ] )
% 7.67/8.04  , clause( 41170, [ ssItem( skaf78( X ) ) ] )
% 7.67/8.04  , clause( 41171, [ ssList( skaf77( X ) ) ] )
% 7.67/8.04  , clause( 41172, [ ssList( skaf76( X ) ) ] )
% 7.67/8.04  , clause( 41173, [ ssList( skaf75( X ) ) ] )
% 7.67/8.04  , clause( 41174, [ ssItem( skaf74( X ) ) ] )
% 7.67/8.04  , clause( 41175, [ ssList( skaf73( X ) ) ] )
% 7.67/8.04  , clause( 41176, [ ssList( skaf72( X ) ) ] )
% 7.67/8.04  , clause( 41177, [ ssList( skaf71( X ) ) ] )
% 7.67/8.04  , clause( 41178, [ ssItem( skaf70( X ) ) ] )
% 7.67/8.04  , clause( 41179, [ ssItem( skaf69( X ) ) ] )
% 7.67/8.04  , clause( 41180, [ ssList( skaf68( X ) ) ] )
% 7.67/8.04  , clause( 41181, [ ssList( skaf67( X ) ) ] )
% 7.67/8.04  , clause( 41182, [ ssList( skaf66( X ) ) ] )
% 7.67/8.04  , clause( 41183, [ ssItem( skaf65( X ) ) ] )
% 7.67/8.04  , clause( 41184, [ ssItem( skaf64( X ) ) ] )
% 7.67/8.04  , clause( 41185, [ ssList( skaf63( X ) ) ] )
% 7.67/8.04  , clause( 41186, [ ssList( skaf62( X ) ) ] )
% 7.67/8.04  , clause( 41187, [ ssList( skaf61( X ) ) ] )
% 7.67/8.04  , clause( 41188, [ ssItem( skaf60( X ) ) ] )
% 7.67/8.04  , clause( 41189, [ ssItem( skaf59( X ) ) ] )
% 7.67/8.04  , clause( 41190, [ ssList( skaf58( X ) ) ] )
% 7.67/8.04  , clause( 41191, [ ssList( skaf57( X ) ) ] )
% 7.67/8.04  , clause( 41192, [ ssList( skaf56( X ) ) ] )
% 7.67/8.04  , clause( 41193, [ ssItem( skaf55( X ) ) ] )
% 7.67/8.04  , clause( 41194, [ ssItem( skaf54( X ) ) ] )
% 7.67/8.04  , clause( 41195, [ ssList( skaf53( X ) ) ] )
% 7.67/8.04  , clause( 41196, [ ssList( skaf52( X ) ) ] )
% 7.67/8.04  , clause( 41197, [ ssList( skaf51( X ) ) ] )
% 7.67/8.04  , clause( 41198, [ ssItem( skaf50( X ) ) ] )
% 7.67/8.04  , clause( 41199, [ ssItem( skaf49( X ) ) ] )
% 7.67/8.04  , clause( 41200, [ ssItem( skaf44( X ) ) ] )
% 7.67/8.04  , clause( 41201, [ ssList( skaf48( X, Y ) ) ] )
% 7.67/8.04  , clause( 41202, [ ssList( skaf47( X, Y ) ) ] )
% 7.67/8.04  , clause( 41203, [ ssList( skaf46( X, Y ) ) ] )
% 7.67/8.04  , clause( 41204, [ ssList( skaf45( X, Y ) ) ] )
% 7.67/8.04  , clause( 41205, [ ssList( skaf43( X, Y ) ) ] )
% 7.67/8.04  , clause( 41206, [ ssList( skaf42( X, Y ) ) ] )
% 7.67/8.04  , clause( 41207, [ ~( =( skac3, skac2 ) ) ] )
% 7.67/8.04  , clause( 41208, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 7.67/8.04  , clause( 41209, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 7.67/8.04  , clause( 41210, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 7.67/8.04  , clause( 41211, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 7.67/8.04  , clause( 41212, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 7.67/8.04  , clause( 41213, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 7.67/8.04  , clause( 41214, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 7.67/8.04  , clause( 41215, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 7.67/8.04  , clause( 41216, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 7.67/8.04  , clause( 41217, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 7.67/8.04  , clause( 41218, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 7.67/8.04  , clause( 41219, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 7.67/8.04  , clause( 41220, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 7.67/8.04  , clause( 41221, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 7.67/8.04  , clause( 41222, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 7.67/8.04  , clause( 41223, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 7.67/8.04  , clause( 41224, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 7.67/8.04  , clause( 41225, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 7.67/8.04  , clause( 41226, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 7.67/8.04  , clause( 41227, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 7.67/8.04  , clause( 41228, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 7.67/8.04  , clause( 41229, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 7.67/8.04  , clause( 41230, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 7.67/8.04  , clause( 41231, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 7.67/8.04  , clause( 41232, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 7.67/8.04     )
% 7.67/8.04  , clause( 41233, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 7.67/8.04     )
% 7.67/8.04  , clause( 41234, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 7.67/8.04     )
% 7.67/8.04  , clause( 41235, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 7.67/8.04     )
% 7.67/8.04  , clause( 41236, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 7.67/8.04     ] )
% 7.67/8.04  , clause( 41237, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 7.67/8.04     ] )
% 7.67/8.04  , clause( 41238, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 7.67/8.04     ) ] )
% 7.67/8.04  , clause( 41239, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 7.67/8.04     ) ] )
% 7.67/8.04  , clause( 41240, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), 
% 7.67/8.04    skaf49( X ) ) ] )
% 7.67/8.04  , clause( 41241, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), 
% 7.67/8.04    skaf50( X ) ) ] )
% 7.67/8.04  , clause( 41242, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), 
% 7.67/8.04    equalelemsP( X ) ] )
% 7.67/8.04  , clause( 41243, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), 
% 7.67/8.04    strictorderedP( X ) ] )
% 7.67/8.04  , clause( 41244, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), 
% 7.67/8.04    totalorderedP( X ) ] )
% 7.67/8.04  , clause( 41245, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), 
% 7.67/8.04    strictorderP( X ) ] )
% 7.67/8.04  , clause( 41246, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), 
% 7.67/8.04    strictorderP( X ) ] )
% 7.67/8.04  , clause( 41247, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), 
% 7.67/8.04    totalorderP( X ) ] )
% 7.67/8.04  , clause( 41248, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), 
% 7.67/8.04    totalorderP( X ) ] )
% 7.67/8.04  , clause( 41249, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 7.67/8.04     ), Y ) ] )
% 7.67/8.04  , clause( 41250, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 7.67/8.04     ), X ) ] )
% 7.67/8.04  , clause( 41251, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( 
% 7.67/8.04    Y ) ) ] )
% 7.67/8.04  , clause( 41252, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( 
% 7.67/8.04    Y ) ) ] )
% 7.67/8.04  , clause( 41253, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 7.67/8.04     ) ] )
% 7.67/8.04  , clause( 41254, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( 
% 7.67/8.04    X ), nil ), X ) ] )
% 7.67/8.04  , clause( 41255, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 7.67/8.04     ) ] )
% 7.67/8.04  , clause( 41256, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( 
% 7.67/8.04    X, Y ) ] )
% 7.67/8.04  , clause( 41257, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( 
% 7.67/8.04    nil, X ) ] )
% 7.67/8.04  , clause( 41258, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 7.67/8.04    Y, X ) ] )
% 7.67/8.04  , clause( 41259, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( 
% 7.67/8.04    Y, X ) ] )
% 7.67/8.04  , clause( 41260, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), 
% 7.67/8.04    leq( Y, X ) ] )
% 7.67/8.04  , clause( 41261, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), 
% 7.67/8.04    geq( Y, X ) ] )
% 7.67/8.04  , clause( 41262, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 7.67/8.04     ), =( nil, X ) ] )
% 7.67/8.04  , clause( 41263, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( 
% 7.67/8.04    ssItem( Y ) ) ] )
% 7.67/8.04  , clause( 41264, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( 
% 7.67/8.04    ssItem( X ) ) ] )
% 7.67/8.04  , clause( 41265, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), 
% 7.67/8.04    strictorderedP( cons( Y, X ) ) ] )
% 7.67/8.04  , clause( 41266, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), 
% 7.67/8.04    totalorderedP( cons( Y, X ) ) ] )
% 7.67/8.04  , clause( 41267, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( 
% 7.67/8.04    ssItem( Y ) ) ] )
% 7.67/8.04  , clause( 41268, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( 
% 7.67/8.04    ssList( X ) ) ] )
% 7.67/8.04  , clause( 41269, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( 
% 7.67/8.04    Y ) ), singletonP( Y ) ] )
% 7.67/8.04  , clause( 41270, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( 
% 7.67/8.04    ssItem( X ) ) ] )
% 7.67/8.04  , clause( 41271, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 7.67/8.04    X ) ), =( nil, X ) ] )
% 7.67/8.04  , clause( 41272, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 7.67/8.04    X ) ), =( nil, Y ) ] )
% 7.67/8.04  , clause( 41273, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 7.67/8.04     ), Y ), cons( X, Y ) ) ] )
% 7.67/8.04  , clause( 41274, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 7.67/8.04    X, Y ), =( X, Y ) ] )
% 7.67/8.04  , clause( 41275, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 7.67/8.04    X, Y ), =( X, Y ) ] )
% 7.67/8.04  , clause( 41276, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( 
% 7.67/8.04    app( Y, X ) ), hd( Y ) ) ] )
% 7.67/8.04  , clause( 41277, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 7.67/8.04    ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 7.67/8.04  , clause( 41278, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 7.67/8.04    ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 7.67/8.04  , clause( 41279, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), 
% 7.67/8.04    ~( ssItem( Y ) ), =( Y, X ) ] )
% 7.67/8.04  , clause( 41280, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( 
% 7.67/8.04    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 7.67/8.04  , clause( 41281, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( 
% 7.67/8.04    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 7.67/8.04  , clause( 41282, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( 
% 7.67/8.04    ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 7.67/8.04  , clause( 41283, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), 
% 7.67/8.04    ~( ssItem( Y ) ), =( Y, X ) ] )
% 7.67/8.04  , clause( 41284, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 7.67/8.04     ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 7.67/8.04  , clause( 41285, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 7.67/8.04     ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 7.67/8.04  , clause( 41286, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( 
% 7.67/8.04    app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 7.67/8.04  , clause( 41287, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 7.67/8.04    ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 7.67/8.04  , clause( 41288, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 7.67/8.04    ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 7.67/8.04  , clause( 41289, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 7.67/8.04     ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 7.67/8.04  , clause( 41290, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 7.67/8.04     ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 7.67/8.04  , clause( 41291, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( 
% 7.67/8.04    ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 7.67/8.04  , clause( 41292, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 7.67/8.04    , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 7.67/8.04  , clause( 41293, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 7.67/8.04    , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 7.67/8.04  , clause( 41294, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 7.67/8.04    , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 7.67/8.04  , clause( 41295, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 7.67/8.04    , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 7.67/8.04  , clause( 41296, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 7.67/8.04     ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 7.67/8.04  , clause( 41297, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 7.67/8.04     ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 7.67/8.04  , clause( 41298, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), 
% 7.67/8.04    ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 7.67/8.04  , clause( 41299, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 7.67/8.04    ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 7.67/8.04  , clause( 41300, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 7.67/8.04    ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 7.67/8.04  , clause( 41301, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), 
% 7.67/8.05    ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 7.67/8.05  , clause( 41302, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), 
% 7.67/8.05    =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 7.67/8.05  , clause( 41303, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), 
% 7.67/8.05    ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 7.67/8.05  , clause( 41304, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), 
% 7.67/8.05    ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 7.67/8.05  , clause( 41305, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( 
% 7.67/8.05    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 7.67/8.05  , clause( 41306, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( 
% 7.67/8.05    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 7.67/8.05  , clause( 41307, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( 
% 7.67/8.05    ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 7.67/8.05  , clause( 41308, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 7.67/8.05    ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 7.67/8.05  , clause( 41309, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), 
% 7.67/8.05    ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 7.67/8.05  , clause( 41310, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), 
% 7.67/8.05    =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 7.67/8.05  , clause( 41311, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( 
% 7.67/8.05    ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 7.67/8.05  , clause( 41312, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( 
% 7.67/8.05    ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 7.67/8.05     ) ] )
% 7.67/8.05  , clause( 41313, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( 
% 7.67/8.05    ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, 
% 7.67/8.05    Y ) ] )
% 7.67/8.05  , clause( 41314, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( 
% 7.67/8.05    ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 7.67/8.05  , clause( 41315, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( 
% 7.67/8.05    skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), 
% 7.67/8.05    skaf77( X ) ) ), X ) ] )
% 7.67/8.05  , clause( 41316, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( 
% 7.67/8.05    skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), 
% 7.67/8.05    skaf73( X ) ) ), X ) ] )
% 7.67/8.05  , clause( 41317, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( 
% 7.67/8.05    skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), 
% 7.67/8.05    skaf68( X ) ) ), X ) ] )
% 7.67/8.05  , clause( 41318, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( 
% 7.67/8.05    X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 7.67/8.05     ), X ) ] )
% 7.67/8.05  , clause( 41319, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( 
% 7.67/8.05    X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 7.67/8.05     ), X ) ] )
% 7.67/8.05  , clause( 41320, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( 
% 7.67/8.05    X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 7.67/8.05     ), X ) ] )
% 7.67/8.05  , clause( 41321, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 7.67/8.05     ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 7.67/8.05  , clause( 41322, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 7.67/8.05    , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 7.67/8.05  , clause( 41323, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), 
% 7.67/8.05    ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 7.67/8.05  , clause( 41324, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), 
% 7.67/8.05    ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 7.67/8.05  , clause( 41325, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 7.67/8.05     ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), 
% 7.67/8.05    Y ) ] )
% 7.67/8.05  , clause( 41326, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), 
% 7.67/8.05    ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 7.67/8.05     )
% 7.67/8.05  , clause( 41327, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( 
% 7.67/8.05    T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 7.67/8.05    , T ) ] )
% 7.67/8.05  , clause( 41328, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), 
% 7.67/8.05    ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 7.67/8.05     )
% 7.67/8.05  , clause( 41329, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( 
% 7.67/8.05    T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 7.67/8.05     )
% 7.67/8.05  , clause( 41330, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), 
% 7.67/8.05    ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 7.67/8.05     )
% 7.67/8.05  , clause( 41331, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 7.67/8.05    , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( 
% 7.67/8.05    Z, X ), cons( T, Y ) ) ] )
% 7.67/8.05  , clause( 41332, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 7.67/8.05    , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 7.67/8.05    , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 7.67/8.05  , clause( 41333, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( 
% 7.67/8.05    ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( 
% 7.67/8.05    equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 7.67/8.05  , clause( 41334, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 7.67/8.05    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 7.67/8.05    , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 7.67/8.05     ) ] )
% 7.67/8.05  , clause( 41335, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 7.67/8.05    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 7.67/8.05    , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 7.67/8.05     ) ] )
% 7.67/8.05  , clause( 41336, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 7.67/8.05    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 7.67/8.05    , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 7.67/8.05    , lt( T, Y ) ] )
% 7.67/8.05  , clause( 41337, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 7.67/8.05    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 7.67/8.05    , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 7.67/8.05    , leq( T, Y ) ] )
% 7.67/8.05  , clause( 41338, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, 
% 7.67/8.05    cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 7.67/8.05    , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 7.67/8.05     ) ), ~( ssList( W ) ) ] )
% 7.67/8.05  , clause( 41339, [ ssList( sk1 ) ] )
% 7.67/8.05  , clause( 41340, [ ssList( sk2 ) ] )
% 7.67/8.05  , clause( 41341, [ ssList( sk3 ) ] )
% 7.67/8.05  , clause( 41342, [ ssList( sk4 ) ] )
% 7.67/8.05  , clause( 41343, [ =( sk2, sk4 ) ] )
% 7.67/8.05  , clause( 41344, [ =( sk1, sk3 ) ] )
% 7.67/8.05  , clause( 41345, [ ssList( sk5 ) ] )
% 7.67/8.05  , clause( 41346, [ ssList( sk6 ) ] )
% 7.67/8.05  , clause( 41347, [ =( app( app( sk5, sk3 ), sk6 ), sk4 ) ] )
% 7.67/8.05  , clause( 41348, [ strictorderedP( sk3 ) ] )
% 7.67/8.05  , clause( 41349, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( 
% 7.67/8.05    X, nil ) ), sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( cons( 
% 7.67/8.05    Z, nil ), T ), sk3 ) ), ~( lt( X, Z ) ) ] )
% 7.67/8.05  , clause( 41350, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, 
% 7.67/8.05    nil ), Y ), sk6 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T, 
% 7.67/8.05    cons( Z, nil ) ), sk3 ) ), ~( lt( Z, X ) ) ] )
% 7.67/8.05  , clause( 41351, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 7.67/8.05  , clause( 41352, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 7.67/8.05  , clause( 41353, [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( segmentP( sk2, 
% 7.67/8.05    sk1 ) ) ] )
% 7.67/8.05  , clause( 41354, [ ~( =( nil, sk1 ) ), neq( sk2, nil ) ] )
% 7.67/8.05  , clause( 41355, [ ~( =( nil, sk1 ) ), ~( neq( sk1, nil ) ), ~( segmentP( 
% 7.67/8.05    sk2, sk1 ) ) ] )
% 7.67/8.05  ] ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 7, [ ssList( nil ) ] )
% 7.67/8.05  , clause( 41161, [ ssList( nil ) ] )
% 7.67/8.05  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 55, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 7.67/8.05  , clause( 41209, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 7.67/8.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 7.67/8.05    1 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 56, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 7.67/8.05  , clause( 41210, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 7.67/8.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 7.67/8.05    1 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 7.67/8.05  , clause( 41226, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 7.67/8.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 7.67/8.05    1 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 7.67/8.05  , clause( 41227, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 7.67/8.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 7.67/8.05    1 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 77, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 7.67/8.05  , clause( 41233, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 7.67/8.05     )
% 7.67/8.05  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 7.67/8.05    1 ), ==>( 2, 2 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 7.67/8.05     )
% 7.67/8.05  , clause( 41253, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 7.67/8.05     ) ] )
% 7.67/8.05  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.67/8.05     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( 
% 7.67/8.05    ssList( X ) ) ] )
% 7.67/8.05  , clause( 41268, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( 
% 7.67/8.05    ssList( X ) ) ] )
% 7.67/8.05  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.67/8.05     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 116, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 7.67/8.05     ), =( nil, Y ) ] )
% 7.67/8.05  , clause( 41272, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 7.67/8.05    X ) ), =( nil, Y ) ] )
% 7.67/8.05  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.67/8.05     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 123, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X )
% 7.67/8.05     ), ~( ssList( Y ) ), =( Y, X ) ] )
% 7.67/8.05  , clause( 41280, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( 
% 7.67/8.05    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 7.67/8.05  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.67/8.05     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 7.67/8.05  
% 7.67/8.05  
% 7.67/8.05  subsumption(
% 7.67/8.05  clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( 
% 7.67/8.05    ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 7.67/8.05  , clause( 41303, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), 
% 7.67/8.05    ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 8.99/9.39  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 8.99/9.39    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 8.99/9.39    ==>( 4, 4 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 169, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( 
% 8.99/9.39    ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 8.99/9.39  , clause( 41326, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), 
% 8.99/9.39    ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 8.99/9.39     )
% 8.99/9.39  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 8.99/9.39    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 8.99/9.39    ==>( 4, 4 ), ==>( 5, 5 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 182, [ ssList( sk1 ) ] )
% 8.99/9.39  , clause( 41339, [ ssList( sk1 ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 183, [ ssList( sk2 ) ] )
% 8.99/9.39  , clause( 41340, [ ssList( sk2 ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  eqswap(
% 8.99/9.39  clause( 44321, [ =( sk4, sk2 ) ] )
% 8.99/9.39  , clause( 41343, [ =( sk2, sk4 ) ] )
% 8.99/9.39  , 0, substitution( 0, [] )).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 186, [ =( sk4, sk2 ) ] )
% 8.99/9.39  , clause( 44321, [ =( sk4, sk2 ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  eqswap(
% 8.99/9.39  clause( 45080, [ =( sk3, sk1 ) ] )
% 8.99/9.39  , clause( 41344, [ =( sk1, sk3 ) ] )
% 8.99/9.39  , 0, substitution( 0, [] )).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 187, [ =( sk3, sk1 ) ] )
% 8.99/9.39  , clause( 45080, [ =( sk3, sk1 ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 188, [ ssList( sk5 ) ] )
% 8.99/9.39  , clause( 41345, [ ssList( sk5 ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 189, [ ssList( sk6 ) ] )
% 8.99/9.39  , clause( 41346, [ ssList( sk6 ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  paramod(
% 8.99/9.39  clause( 47756, [ =( app( app( sk5, sk1 ), sk6 ), sk4 ) ] )
% 8.99/9.39  , clause( 187, [ =( sk3, sk1 ) ] )
% 8.99/9.39  , 0, clause( 41347, [ =( app( app( sk5, sk3 ), sk6 ), sk4 ) ] )
% 8.99/9.39  , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  paramod(
% 8.99/9.39  clause( 47757, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 8.99/9.39  , clause( 186, [ =( sk4, sk2 ) ] )
% 8.99/9.39  , 0, clause( 47756, [ =( app( app( sk5, sk1 ), sk6 ), sk4 ) ] )
% 8.99/9.39  , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 190, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 8.99/9.39  , clause( 47757, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  paramod(
% 8.99/9.39  clause( 48963, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 8.99/9.39  , clause( 186, [ =( sk4, sk2 ) ] )
% 8.99/9.39  , 0, clause( 41351, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 8.99/9.39  , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  paramod(
% 8.99/9.39  clause( 48964, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 8.99/9.39  , clause( 187, [ =( sk3, sk1 ) ] )
% 8.99/9.39  , 0, clause( 48963, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 8.99/9.39  , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 194, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 8.99/9.39  , clause( 48964, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 8.99/9.39     ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 195, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 8.99/9.39  , clause( 41352, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.99/9.39     ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 196, [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( segmentP( sk2, sk1 )
% 8.99/9.39     ) ] )
% 8.99/9.39  , clause( 41353, [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( segmentP( sk2, 
% 8.99/9.39    sk1 ) ) ] )
% 8.99/9.39  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 8.99/9.39    , 2 )] ) ).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  paramod(
% 8.99/9.39  clause( 73602, [ ~( =( sk2, sk1 ) ), neq( sk2, nil ), neq( sk2, nil ) ] )
% 8.99/9.39  , clause( 195, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 8.99/9.39  , 0, clause( 41354, [ ~( =( nil, sk1 ) ), neq( sk2, nil ) ] )
% 8.99/9.39  , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  factor(
% 8.99/9.39  clause( 73629, [ ~( =( sk2, sk1 ) ), neq( sk2, nil ) ] )
% 8.99/9.39  , clause( 73602, [ ~( =( sk2, sk1 ) ), neq( sk2, nil ), neq( sk2, nil ) ]
% 8.99/9.39     )
% 8.99/9.39  , 1, 2, substitution( 0, [] )).
% 8.99/9.39  
% 8.99/9.39  
% 8.99/9.39  subsumption(
% 8.99/9.39  clause( 197, [ neq( sk2, nil ), ~( =( sk2, sk1 ) ) ] )
% 8.99/9.39  , clause( 73629, [ ~( =( sk2, sk1 ) ), neq( sk2, nil ) ] )
% 8.99/9.39  ,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------