TSTP Solution File: SWC044-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWC044-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.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 19:33:17 EDT 2022

% Result   : Unsatisfiable 0.76s 1.22s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC044-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sun Jun 12 19:22:51 EDT 2022
% 0.12/0.34  % 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
% 0.72/1.12     ) ), memberP( cons( Z, X ), Y ) ],
% 0.72/1.12     [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.72/1.12     ) ), memberP( app( X, Z ), Y ) ],
% 0.72/1.12     [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.72/1.12     ) ), memberP( app( Z, X ), Y ) ],
% 0.72/1.12     [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78( 
% 0.72/1.12    X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.72/1.12     [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~( 
% 0.72/1.12    ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.72/1.12     [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~( 
% 0.72/1.12    ssList( Z ) ), frontsegP( Z, X ) ],
% 0.72/1.12     [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.12    , =( app( X, Y ), nil ) ],
% 0.72/1.12     [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), 
% 0.72/1.12    ~( ssItem( X ) ), gt( X, Z ) ],
% 0.72/1.12     [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12    , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.12     [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12    , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.72/1.12     [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z, 
% 0.72/1.12    Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.72/1.12     [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.12    , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.72/1.12     [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.72/1.12    , ~( ssList( Z ) ), =( X, Z ) ],
% 0.72/1.12     [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.72/1.12    ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.72/1.12     [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.72/1.12    ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.72/1.12     [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.72/1.12    ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.72/1.12     [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), 
% 0.72/1.12    ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.12     [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12    , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.72/1.12     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app( 
% 0.72/1.12    Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.72/1.12     [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), 
% 0.72/1.12    ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.72/1.12     [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~( 
% 0.72/1.12    ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.12     [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~( 
% 0.72/1.12    ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.12     [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ), 
% 0.72/1.12    ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.72/1.12     [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons( 
% 0.72/1.12    skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons( 
% 0.72/1.12    skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons( 
% 0.72/1.12    skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons( 
% 0.72/1.12    skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons( 
% 0.72/1.12    skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons( 
% 0.72/1.12    skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app( 
% 0.72/1.12    skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.72/1.12     [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app( 
% 0.72/1.12    skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.72/1.12     [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.12     ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.72/1.12     [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.12     ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.72/1.12     [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList( 
% 0.76/1.22    Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.76/1.22     [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.76/1.22    , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.76/1.22     [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~( 
% 0.76/1.22    ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.76/1.22    ,
% 0.76/1.22     [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.76/1.22     ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.76/1.22     [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~( 
% 0.76/1.22    ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.76/1.22     [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.76/1.22     ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.76/1.22     [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.76/1.22     ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons( 
% 0.76/1.22    T, Y ) ) ],
% 0.76/1.22     [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.76/1.22     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~( 
% 0.76/1.22    duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.76/1.22     [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~( 
% 0.76/1.22    ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.76/1.22    , ~( ssList( U ) ), =( Y, Z ) ],
% 0.76/1.22     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.22     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.22     ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.76/1.22     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.22     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.22     ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.76/1.22     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.22     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.22     ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.76/1.22    ,
% 0.76/1.22     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.22     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.22     ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.76/1.22    ,
% 0.76/1.22     [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.76/1.22    , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.76/1.22     ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList( 
% 0.76/1.22    W ) ) ],
% 0.76/1.22     [ ssList( sk1 ) ],
% 0.76/1.22     [ ssList( sk2 ) ],
% 0.76/1.22     [ ssList( sk3 ) ],
% 0.76/1.22     [ ssList( sk4 ) ],
% 0.76/1.22     [ =( nil, sk2 ) ],
% 0.76/1.22     [ =( sk2, sk4 ) ],
% 0.76/1.22     [ =( sk1, sk3 ) ],
% 0.76/1.22     [ rearsegP( sk4, sk3 ) ],
% 0.76/1.22     [ ~( =( nil, sk1 ) ) ]
% 0.76/1.22  ] .
% 0.76/1.22  
% 0.76/1.22  
% 0.76/1.22  percentage equality = 0.164452, percentage horn = 0.842932
% 0.76/1.22  This is a problem with some equality
% 0.76/1.22  
% 0.76/1.22  
% 0.76/1.22  
% 0.76/1.22  Options Used:
% 0.76/1.22  
% 0.76/1.22  useres =            1
% 0.76/1.22  useparamod =        1
% 0.76/1.22  useeqrefl =         1
% 0.76/1.22  useeqfact =         1
% 0.76/1.22  usefactor =         1
% 0.76/1.22  usesimpsplitting =  0
% 0.76/1.22  usesimpdemod =      5
% 0.76/1.22  usesimpres =        3
% 0.76/1.22  
% 0.76/1.22  resimpinuse      =  1000
% 0.76/1.22  resimpclauses =     20000
% 0.76/1.22  substype =          eqrewr
% 0.76/1.22  backwardsubs =      1
% 0.76/1.22  selectoldest =      5
% 0.76/1.22  
% 0.76/1.22  litorderings [0] =  split
% 0.76/1.22  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.76/1.22  
% 0.76/1.22  termordering =      kbo
% 0.76/1.22  
% 0.76/1.22  litapriori =        0
% 0.76/1.22  termapriori =       1
% 0.76/1.22  litaposteriori =    0
% 0.76/1.22  termaposteriori =   0
% 0.76/1.22  demodaposteriori =  0
% 0.76/1.22  ordereqreflfact =   0
% 0.76/1.22  
% 0.76/1.22  litselect =         negord
% 0.76/1.22  
% 0.76/1.22  maxweight =         15
% 0.76/1.22  maxdepth =          30000
% 0.76/1.22  maxlength =         115
% 0.76/1.22  maxnrvars =         195
% 0.76/1.22  excuselevel =       1
% 0.76/1.22  increasemaxweight = 1
% 0.76/1.22  
% 0.76/1.22  maxselected =       10000000
% 0.76/1.22  maxnrclauses =      10000000
% 0.76/1.22  
% 0.76/1.22  showgenerated =    0
% 0.76/1.22  showkept =         0
% 0.76/1.22  showselected =     0
% 0.76/1.22  showdeleted =      0
% 0.76/1.22  showresimp =       1
% 0.76/1.22  showstatus =       2000
% 0.76/1.22  
% 0.76/1.22  prologoutput =     1
% 0.76/1.22  nrgoals =          5000000
% 0.76/1.22  totalproof =       1
% 0.76/1.22  
% 0.76/1.22  Symbols occurring in the translation:
% 0.76/1.22  
% 0.76/1.22  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.76/1.22  .  [1, 2]      (w:1, o:75, a:1, s:1, b:0), 
% 0.76/1.22  !  [4, 1]      (w:0, o:22, a:1, s:1, b:0), 
% 0.76/1.22  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.22  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.22  nil  [39, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.76/1.22  equalelemsP  [40, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.76/1.22  duplicatefreeP  [41, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.76/1.22  strictorderedP  [42, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 0.76/1.22  totalorderedP  [43, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 0.76/1.22  strictorderP  [44, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 0.76/1.22  totalorderP  [45, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 0.76/1.22  cyclefreeP  [46, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.76/1.22  ssList  [47, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 0.76/1.22  skac3  [48, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.76/1.22  ssItem  [49, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 0.76/1.22  skac2  [50, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.76/1.22  singletonP  [51, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 0.76/1.22  skaf83  [53, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 0.76/1.22  skaf82  [54, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 0.76/1.22  skaf81  [55, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 0.76/1.22  skaf80  [56, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 0.76/1.22  skaf79  [57, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 0.76/1.22  skaf78  [58, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 0.76/1.22  skaf77  [59, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 0.76/1.22  skaf76  [60, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 0.76/1.22  skaf75  [61, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 0.76/1.22  skaf74  [62, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 0.76/1.22  skaf73  [63, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 0.76/1.22  skaf72  [64, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 0.76/1.22  skaf71  [65, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 0.76/1.22  skaf70  [66, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 0.76/1.22  skaf69  [67, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 0.76/1.22  skaf68  [68, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 0.76/1.22  skaf67  [69, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 0.76/1.22  skaf66  [70, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 0.76/1.22  skaf65  [71, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 0.76/1.22  skaf64  [72, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 0.76/1.22  skaf63  [73, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 0.76/1.22  skaf62  [74, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 0.76/1.22  skaf61  [75, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 0.76/1.22  skaf60  [76, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 0.76/1.22  skaf59  [77, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 0.76/1.22  skaf58  [78, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 0.76/1.22  skaf57  [79, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 0.76/1.22  skaf56  [80, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 0.76/1.22  skaf55  [81, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 0.76/1.22  skaf54  [82, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 0.76/1.22  skaf53  [83, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 0.76/1.22  skaf52  [84, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 0.76/1.22  skaf51  [85, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 0.76/1.22  skaf50  [86, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 0.76/1.22  skaf49  [87, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 0.76/1.22  skaf44  [88, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 0.76/1.22  skaf48  [90, 2]      (w:1, o:104, a:1, s:1, b:0), 
% 0.76/1.22  skaf47  [91, 2]      (w:1, o:103, a:1, s:1, b:0), 
% 0.76/1.22  skaf46  [92, 2]      (w:1, o:102, a:1, s:1, b:0), 
% 0.76/1.22  skaf45  [93, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 0.76/1.22  skaf43  [94, 2]      (w:1, o:106, a:1, s:1, b:0), 
% 0.76/1.22  skaf42  [95, 2]      (w:1, o:105, a:1, s:1, b:0), 
% 0.76/1.22  geq  [96, 2]      (w:1, o:108, a:1, s:1, b:0), 
% 0.76/1.22  segmentP  [97, 2]      (w:1, o:109, a:1, s:1, b:0), 
% 0.76/1.22  rearsegP  [98, 2]      (w:1, o:100, a:1, s:1, b:0), 
% 0.76/1.22  frontsegP  [99, 2]      (w:1, o:107, a:1, s:1, b:0), 
% 0.76/1.22  leq  [100, 2]      (w:1, o:110, a:1, s:1, b:0), 
% 0.76/1.22  lt  [101, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 0.76/1.22  cons  [102, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 0.76/1.22  memberP  [103, 2]      (w:1, o:113, a:1, s:1, b:0), 
% 0.76/1.22  app  [104, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 0.76/1.22  tl  [105, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 0.76/1.22  hd  [106, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 0.76/1.22  neq  [107, 2]      (w:1, o:115, a:1, s:1, b:0), 
% 0.76/1.22  gt  [108, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 0.76/1.22  sk1  [113, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.76/1.22  sk2  [114, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.76/1.22  sk3  [115, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.76/1.22  sk4  [116, 0]      (w:1, o:10, a:1, s:1, b:0).
% 0.76/1.22  
% 0.76/1.22  
% 0.76/1.22  Starting Search:
% 0.76/1.22  
% 0.76/1.22  Resimplifying inuse:
% 0.76/1.22  Done
% 0.76/1.22  
% 0.76/1.22  
% 0.76/1.22  Intermediate Status:
% 0.76/1.22  Generated:    4414
% 0.76/1.22  Kept:         2388
% 0.76/1.22  Inuse:        267
% 0.76/1.22  Deleted:      34
% 0.76/1.22  Deletedinuse: 0
% 0.76/1.22  
% 0.76/1.22  Resimplifying inuse:
% 0.76/1.22  Done
% 0.76/1.22  
% 0.76/1.22  Resimplifying inuse:
% 0.76/1.22  Done
% 0.76/1.22  
% 0.76/1.22  
% 0.76/1.22  Bliksems!, er is een bewijs:
% 0.76/1.22  % SZS status Unsatisfiable
% 0.76/1.22  % SZS output start Refutation
% 0.76/1.22  
% 0.76/1.22  clause( 57, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 58, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 124, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X )
% 0.76/1.22     ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 182, [ ssList( sk1 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 183, [ ssList( sk2 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 186, [ =( nil, sk2 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 187, [ =( sk4, sk2 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 188, [ =( sk3, sk1 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 189, [ rearsegP( sk2, sk1 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 190, [ ~( =( sk2, sk1 ) ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 417, [ ~( ssList( X ) ), rearsegP( X, sk2 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 445, [ rearsegP( sk1, sk1 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 568, [ rearsegP( sk1, sk2 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 3935, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), =( sk2, sk1 ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 4132, [ ~( =( X, sk1 ) ), ~( rearsegP( sk2, X ) ), ~( ssList( X ) )
% 0.76/1.22    , ~( ssList( sk2 ) ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 4143, [ ~( ssList( sk2 ) ), ~( rearsegP( sk1, sk1 ) ) ] )
% 0.76/1.22  .
% 0.76/1.22  clause( 4150, [] )
% 0.76/1.22  .
% 0.76/1.22  
% 0.76/1.22  
% 0.76/1.22  % SZS output end Refutation
% 0.76/1.22  found a proof!
% 0.76/1.22  
% 0.76/1.22  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.22  
% 0.76/1.22  initialclauses(
% 0.76/1.22  [ clause( 4152, [ equalelemsP( nil ) ] )
% 0.76/1.22  , clause( 4153, [ duplicatefreeP( nil ) ] )
% 0.76/1.22  , clause( 4154, [ strictorderedP( nil ) ] )
% 0.76/1.22  , clause( 4155, [ totalorderedP( nil ) ] )
% 0.76/1.22  , clause( 4156, [ strictorderP( nil ) ] )
% 0.76/1.22  , clause( 4157, [ totalorderP( nil ) ] )
% 0.76/1.22  , clause( 4158, [ cyclefreeP( nil ) ] )
% 0.76/1.22  , clause( 4159, [ ssList( nil ) ] )
% 0.76/1.22  , clause( 4160, [ ssItem( skac3 ) ] )
% 0.76/1.22  , clause( 4161, [ ssItem( skac2 ) ] )
% 0.76/1.22  , clause( 4162, [ ~( singletonP( nil ) ) ] )
% 0.76/1.22  , clause( 4163, [ ssItem( skaf83( X ) ) ] )
% 0.76/1.22  , clause( 4164, [ ssList( skaf82( X ) ) ] )
% 0.76/1.22  , clause( 4165, [ ssList( skaf81( X ) ) ] )
% 0.76/1.22  , clause( 4166, [ ssList( skaf80( X ) ) ] )
% 0.76/1.22  , clause( 4167, [ ssItem( skaf79( X ) ) ] )
% 0.76/1.22  , clause( 4168, [ ssItem( skaf78( X ) ) ] )
% 0.76/1.22  , clause( 4169, [ ssList( skaf77( X ) ) ] )
% 0.76/1.22  , clause( 4170, [ ssList( skaf76( X ) ) ] )
% 0.76/1.22  , clause( 4171, [ ssList( skaf75( X ) ) ] )
% 0.76/1.22  , clause( 4172, [ ssItem( skaf74( X ) ) ] )
% 0.76/1.22  , clause( 4173, [ ssList( skaf73( X ) ) ] )
% 0.76/1.22  , clause( 4174, [ ssList( skaf72( X ) ) ] )
% 0.76/1.22  , clause( 4175, [ ssList( skaf71( X ) ) ] )
% 0.76/1.22  , clause( 4176, [ ssItem( skaf70( X ) ) ] )
% 0.76/1.22  , clause( 4177, [ ssItem( skaf69( X ) ) ] )
% 0.76/1.22  , clause( 4178, [ ssList( skaf68( X ) ) ] )
% 0.76/1.22  , clause( 4179, [ ssList( skaf67( X ) ) ] )
% 0.76/1.22  , clause( 4180, [ ssList( skaf66( X ) ) ] )
% 0.76/1.22  , clause( 4181, [ ssItem( skaf65( X ) ) ] )
% 0.76/1.22  , clause( 4182, [ ssItem( skaf64( X ) ) ] )
% 0.76/1.22  , clause( 4183, [ ssList( skaf63( X ) ) ] )
% 0.76/1.22  , clause( 4184, [ ssList( skaf62( X ) ) ] )
% 0.76/1.22  , clause( 4185, [ ssList( skaf61( X ) ) ] )
% 0.76/1.22  , clause( 4186, [ ssItem( skaf60( X ) ) ] )
% 0.76/1.22  , clause( 4187, [ ssItem( skaf59( X ) ) ] )
% 0.76/1.22  , clause( 4188, [ ssList( skaf58( X ) ) ] )
% 0.76/1.22  , clause( 4189, [ ssList( skaf57( X ) ) ] )
% 0.76/1.22  , clause( 4190, [ ssList( skaf56( X ) ) ] )
% 0.76/1.22  , clause( 4191, [ ssItem( skaf55( X ) ) ] )
% 0.76/1.22  , clause( 4192, [ ssItem( skaf54( X ) ) ] )
% 0.76/1.22  , clause( 4193, [ ssList( skaf53( X ) ) ] )
% 0.76/1.22  , clause( 4194, [ ssList( skaf52( X ) ) ] )
% 0.76/1.22  , clause( 4195, [ ssList( skaf51( X ) ) ] )
% 0.76/1.22  , clause( 4196, [ ssItem( skaf50( X ) ) ] )
% 0.76/1.22  , clause( 4197, [ ssItem( skaf49( X ) ) ] )
% 0.76/1.22  , clause( 4198, [ ssItem( skaf44( X ) ) ] )
% 0.76/1.22  , clause( 4199, [ ssList( skaf48( X, Y ) ) ] )
% 0.76/1.22  , clause( 4200, [ ssList( skaf47( X, Y ) ) ] )
% 0.76/1.22  , clause( 4201, [ ssList( skaf46( X, Y ) ) ] )
% 0.76/1.22  , clause( 4202, [ ssList( skaf45( X, Y ) ) ] )
% 0.76/1.22  , clause( 4203, [ ssList( skaf43( X, Y ) ) ] )
% 0.76/1.22  , clause( 4204, [ ssList( skaf42( X, Y ) ) ] )
% 0.76/1.22  , clause( 4205, [ ~( =( skac3, skac2 ) ) ] )
% 0.76/1.22  , clause( 4206, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 0.76/1.22  , clause( 4207, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 0.76/1.22  , clause( 4208, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 0.76/1.22  , clause( 4209, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 0.76/1.22  , clause( 4210, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 0.76/1.22  , clause( 4211, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 0.76/1.22  , clause( 4212, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 0.76/1.22  , clause( 4213, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 0.76/1.22  , clause( 4214, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 0.76/1.22  , clause( 4215, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 0.76/1.22  , clause( 4216, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 0.76/1.22  , clause( 4217, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 0.76/1.22  , clause( 4218, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 0.76/1.22  , clause( 4219, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 0.76/1.22  , clause( 4220, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 0.76/1.22  , clause( 4221, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 0.76/1.22  , clause( 4222, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 0.76/1.22  , clause( 4223, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 0.76/1.22  , clause( 4224, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 0.76/1.22  , clause( 4225, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 0.76/1.22  , clause( 4226, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 0.76/1.22  , clause( 4227, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 0.76/1.22  , clause( 4228, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 0.76/1.22  , clause( 4229, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 0.76/1.22  , clause( 4230, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4231, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4232, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4233, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4234, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4235, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4236, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) )
% 0.76/1.22     ] )
% 0.76/1.22  , clause( 4237, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 0.76/1.22     ) ] )
% 0.76/1.22  , clause( 4238, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), 
% 0.76/1.22    skaf49( X ) ) ] )
% 0.76/1.22  , clause( 4239, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), 
% 0.76/1.22    skaf50( X ) ) ] )
% 0.76/1.22  , clause( 4240, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), 
% 0.76/1.22    equalelemsP( X ) ] )
% 0.76/1.22  , clause( 4241, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), 
% 0.76/1.22    strictorderedP( X ) ] )
% 0.76/1.22  , clause( 4242, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), 
% 0.76/1.22    totalorderedP( X ) ] )
% 0.76/1.22  , clause( 4243, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), 
% 0.76/1.22    strictorderP( X ) ] )
% 0.76/1.22  , clause( 4244, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), 
% 0.76/1.22    strictorderP( X ) ] )
% 0.76/1.22  , clause( 4245, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), 
% 0.76/1.22    totalorderP( X ) ] )
% 0.76/1.22  , clause( 4246, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), 
% 0.76/1.22    totalorderP( X ) ] )
% 0.76/1.22  , clause( 4247, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) )
% 0.76/1.22    , Y ) ] )
% 0.76/1.22  , clause( 4248, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) )
% 0.76/1.22    , X ) ] )
% 0.76/1.22  , clause( 4249, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( 
% 0.76/1.22    Y ) ) ] )
% 0.76/1.22  , clause( 4250, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y
% 0.76/1.22     ) ) ] )
% 0.76/1.22  , clause( 4251, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 0.76/1.22     ) ] )
% 0.76/1.22  , clause( 4252, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( 
% 0.76/1.22    X ), nil ), X ) ] )
% 0.76/1.22  , clause( 4253, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 0.76/1.22     ) ] )
% 0.76/1.22  , clause( 4254, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( 
% 0.76/1.22    X, Y ) ] )
% 0.76/1.22  , clause( 4255, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( 
% 0.76/1.22    nil, X ) ] )
% 0.76/1.22  , clause( 4256, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 0.76/1.22    Y, X ) ] )
% 0.76/1.22  , clause( 4257, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( 
% 0.76/1.22    Y, X ) ] )
% 0.76/1.22  , clause( 4258, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( 
% 0.76/1.22    Y, X ) ] )
% 0.76/1.22  , clause( 4259, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( 
% 0.76/1.22    Y, X ) ] )
% 0.76/1.22  , clause( 4260, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 0.76/1.22     ), =( nil, X ) ] )
% 0.76/1.22  , clause( 4261, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( 
% 0.76/1.22    ssItem( Y ) ) ] )
% 0.76/1.22  , clause( 4262, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( 
% 0.76/1.22    ssItem( X ) ) ] )
% 0.76/1.22  , clause( 4263, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), 
% 0.76/1.22    strictorderedP( cons( Y, X ) ) ] )
% 0.76/1.22  , clause( 4264, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), 
% 0.76/1.22    totalorderedP( cons( Y, X ) ) ] )
% 0.76/1.22  , clause( 4265, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( 
% 0.76/1.22    ssItem( Y ) ) ] )
% 0.76/1.22  , clause( 4266, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( 
% 0.76/1.22    ssList( X ) ) ] )
% 0.76/1.22  , clause( 4267, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( 
% 0.76/1.22    Y ) ), singletonP( Y ) ] )
% 0.76/1.22  , clause( 4268, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( 
% 0.76/1.22    ssItem( X ) ) ] )
% 0.76/1.22  , clause( 4269, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 0.76/1.22    X ) ), =( nil, X ) ] )
% 0.76/1.22  , clause( 4270, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 0.76/1.22    X ) ), =( nil, Y ) ] )
% 0.76/1.22  , clause( 4271, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 0.76/1.22     ), Y ), cons( X, Y ) ) ] )
% 0.76/1.22  , clause( 4272, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 0.76/1.22    X, Y ), =( X, Y ) ] )
% 0.76/1.22  , clause( 4273, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 0.76/1.22    X, Y ), =( X, Y ) ] )
% 0.76/1.22  , clause( 4274, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( 
% 0.76/1.22    app( Y, X ) ), hd( Y ) ) ] )
% 0.76/1.22  , clause( 4275, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 0.76/1.22    ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 0.76/1.22  , clause( 4276, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( 
% 0.76/1.22    ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 0.76/1.22  , clause( 4277, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( 
% 0.76/1.22    ssItem( Y ) ), =( Y, X ) ] )
% 0.76/1.22  , clause( 4278, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( 
% 0.76/1.22    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.22  , clause( 4279, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( 
% 0.76/1.22    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.22  , clause( 4280, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( 
% 0.76/1.22    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.22  , clause( 4281, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( 
% 0.76/1.22    ssItem( Y ) ), =( Y, X ) ] )
% 0.76/1.22  , clause( 4282, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.76/1.22    , =( app( skaf46( X, Y ), Y ), X ) ] )
% 0.76/1.22  , clause( 4283, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 0.76/1.22     ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 0.76/1.22  , clause( 4284, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( 
% 0.76/1.22    app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 0.76/1.22  , clause( 4285, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 0.76/1.22    ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 0.76/1.22  , clause( 4286, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( 
% 0.76/1.22    ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 0.76/1.22  , clause( 4287, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) )
% 0.76/1.22    , ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 0.76/1.22  , clause( 4288, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 0.76/1.22     ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 0.76/1.22  , clause( 4289, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( 
% 0.76/1.22    ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 0.76/1.22  , clause( 4290, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 0.76/1.22    , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 0.76/1.22  , clause( 4291, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.76/1.22    , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 0.76/1.22  , clause( 4292, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 0.76/1.22    , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 0.76/1.22  , clause( 4293, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), 
% 0.76/1.22    cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 0.76/1.22  , clause( 4294, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 0.76/1.22     ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 0.76/1.22  , clause( 4295, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.76/1.22     ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 0.76/1.22  , clause( 4296, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( 
% 0.76/1.22    ssList( X ) ), =( app( X, Y ), nil ) ] )
% 0.76/1.22  , clause( 4297, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 0.76/1.22    ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 0.76/1.22  , clause( 4298, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 0.76/1.22    ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 0.76/1.22  , clause( 4299, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 0.76/1.22    ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 0.76/1.22  , clause( 4300, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( 
% 0.76/1.22    app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 0.76/1.22  , clause( 4301, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( 
% 0.76/1.22    ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 0.76/1.22  , clause( 4302, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( 
% 0.76/1.22    ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 0.76/1.22  , clause( 4303, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( 
% 0.76/1.22    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 0.76/1.22  , clause( 4304, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( 
% 0.76/1.22    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 0.76/1.22  , clause( 4305, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( 
% 0.76/1.22    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 0.76/1.22  , clause( 4306, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 0.76/1.22    ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 0.76/1.22  , clause( 4307, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 0.76/1.22    ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 0.76/1.22  , clause( 4308, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( 
% 0.76/1.22    cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 0.76/1.22  , clause( 4309, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( 
% 0.76/1.22    ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 0.76/1.22  , clause( 4310, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( 
% 0.76/1.22    ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 0.76/1.22     ) ] )
% 0.76/1.22  , clause( 4311, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( 
% 0.76/1.22    ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, 
% 0.76/1.22    Y ) ] )
% 0.76/1.22  , clause( 4312, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( 
% 0.76/1.22    ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 0.76/1.22  , clause( 4313, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( 
% 0.76/1.22    skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), 
% 0.76/1.22    skaf77( X ) ) ), X ) ] )
% 0.76/1.22  , clause( 4314, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( 
% 0.76/1.22    skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), 
% 0.76/1.22    skaf73( X ) ) ), X ) ] )
% 0.76/1.22  , clause( 4315, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( 
% 0.76/1.22    X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) )
% 0.76/1.22     ), X ) ] )
% 0.76/1.22  , clause( 4316, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( 
% 0.76/1.22    X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 0.76/1.22     ), X ) ] )
% 0.76/1.22  , clause( 4317, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( 
% 0.76/1.22    X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 0.76/1.22     ), X ) ] )
% 0.76/1.22  , clause( 4318, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X
% 0.76/1.22     ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 0.76/1.22     ), X ) ] )
% 0.76/1.22  , clause( 4319, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.76/1.22    , =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 0.76/1.22  , clause( 4320, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 0.76/1.22    , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 0.76/1.22  , clause( 4321, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), 
% 0.76/1.22    ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 0.76/1.22  , clause( 4322, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), 
% 0.76/1.22    ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 0.76/1.22  , clause( 4323, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) )
% 0.76/1.22    , ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y
% 0.76/1.22     ) ] )
% 0.76/1.22  , clause( 4324, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( 
% 0.76/1.22    ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 0.76/1.22  , clause( 4325, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( 
% 0.76/1.22    T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 0.76/1.22    , T ) ] )
% 0.76/1.22  , clause( 4326, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), 
% 0.76/1.22    ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4327, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( 
% 0.76/1.22    T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4328, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), 
% 0.76/1.22    ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 0.76/1.22     )
% 0.76/1.22  , clause( 4329, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 0.76/1.22    , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( 
% 0.76/1.28    Z, X ), cons( T, Y ) ) ] )
% 0.76/1.28  , clause( 4330, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 0.76/1.28    , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 0.76/1.28    , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 0.76/1.28  , clause( 4331, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( 
% 0.76/1.28    T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( 
% 0.76/1.28    equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 0.76/1.28  , clause( 4332, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.76/1.28    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.76/1.28    , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 0.76/1.28     ) ] )
% 0.76/1.28  , clause( 4333, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.76/1.28    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.76/1.28    , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 0.76/1.28     ) ] )
% 0.76/1.28  , clause( 4334, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.76/1.28    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.76/1.28    , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 0.76/1.28    , lt( T, Y ) ] )
% 0.76/1.28  , clause( 4335, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.76/1.28    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.76/1.28    , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 0.76/1.28    , leq( T, Y ) ] )
% 0.76/1.28  , clause( 4336, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, 
% 0.76/1.28    cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 0.76/1.28    , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 0.76/1.28     ) ), ~( ssList( W ) ) ] )
% 0.76/1.28  , clause( 4337, [ ssList( sk1 ) ] )
% 0.76/1.28  , clause( 4338, [ ssList( sk2 ) ] )
% 0.76/1.28  , clause( 4339, [ ssList( sk3 ) ] )
% 0.76/1.28  , clause( 4340, [ ssList( sk4 ) ] )
% 0.76/1.28  , clause( 4341, [ =( nil, sk2 ) ] )
% 0.76/1.28  , clause( 4342, [ =( sk2, sk4 ) ] )
% 0.76/1.28  , clause( 4343, [ =( sk1, sk3 ) ] )
% 0.76/1.28  , clause( 4344, [ rearsegP( sk4, sk3 ) ] )
% 0.76/1.28  , clause( 4345, [ ~( =( nil, sk1 ) ) ] )
% 0.76/1.28  ] ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  subsumption(
% 0.76/1.28  clause( 57, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 0.76/1.28  , clause( 4209, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 0.76/1.28  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.76/1.28    1 )] ) ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  subsumption(
% 0.76/1.28  clause( 58, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 0.76/1.28  , clause( 4210, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 0.76/1.28  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.76/1.28    1 )] ) ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  subsumption(
% 0.76/1.28  clause( 124, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X )
% 0.76/1.28     ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.28  , clause( 4279, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( 
% 0.76/1.28    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.28  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.28     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  subsumption(
% 0.76/1.28  clause( 182, [ ssList( sk1 ) ] )
% 0.76/1.28  , clause( 4337, [ ssList( sk1 ) ] )
% 0.76/1.28  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  subsumption(
% 0.76/1.28  clause( 183, [ ssList( sk2 ) ] )
% 0.76/1.28  , clause( 4338, [ ssList( sk2 ) ] )
% 0.76/1.28  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  subsumption(
% 0.76/1.28  clause( 186, [ =( nil, sk2 ) ] )
% 0.76/1.28  , clause( 4341, [ =( nil, sk2 ) ] )
% 0.76/1.28  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  eqswap(
% 0.76/1.28  clause( 7460, [ =( sk4, sk2 ) ] )
% 0.76/1.28  , clause( 4342, [ =( sk2, sk4 ) ] )
% 0.76/1.28  , 0, substitution( 0, [] )).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  subsumption(
% 0.76/1.28  clause( 187, [ =( sk4, sk2 ) ] )
% 0.76/1.28  , clause( 7460, [ =( sk4, sk2 ) ] )
% 0.76/1.28  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  eqswap(
% 0.76/1.28  clause( 8220, [ =( sk3, sk1 ) ] )
% 0.76/1.28  , clause( 4343, [ =( sk1, sk3 ) ] )
% 0.76/1.28  , 0, substitution( 0, [] )).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  subsumption(
% 0.76/1.28  clause( 188, [ =( sk3, sk1 ) ] )
% 0.76/1.28  , clause( 8220, [ =( sk3, sk1 ) ] )
% 0.76/1.28  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  paramod(
% 0.76/1.28  clause( 9376, [ rearsegP( sk2, sk3 ) ] )
% 0.76/1.28  , clause( 187, [ =( sk4, sk2 ) ] )
% 0.76/1.28  , 0, clause( 4344, [ rearsegP( sk4, sk3 ) ] )
% 0.76/1.28  , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.28  
% 0.76/1.28  
% 0.76/1.28  paramod(
% 0.76/1.28  clause( 9377, [ rearsegP( sk2, sk1 ) ] )
% 0.76/1.28  , clause( 188, [ =( sk3, sk1 ) ] )
% 0.76/1.28  , 0, clause( 93Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------