TSTP Solution File: SWC019-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWC019-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 19:33:02 EDT 2022

% Result   : Unsatisfiable 1.43s 1.79s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC019-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sat Jun 11 22:10:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.89/1.28  *** allocated 10000 integers for termspace/termends
% 0.89/1.28  *** allocated 10000 integers for clauses
% 0.89/1.28  *** allocated 10000 integers for justifications
% 0.89/1.28  Bliksem 1.12
% 0.89/1.28  
% 0.89/1.28  
% 0.89/1.28  Automatic Strategy Selection
% 0.89/1.28  
% 0.89/1.28  Clauses:
% 0.89/1.28  [
% 0.89/1.28     [ equalelemsP( nil ) ],
% 0.89/1.28     [ duplicatefreeP( nil ) ],
% 0.89/1.28     [ strictorderedP( nil ) ],
% 0.89/1.28     [ totalorderedP( nil ) ],
% 0.89/1.28     [ strictorderP( nil ) ],
% 0.89/1.28     [ totalorderP( nil ) ],
% 0.89/1.28     [ cyclefreeP( nil ) ],
% 0.89/1.28     [ ssList( nil ) ],
% 0.89/1.28     [ ssItem( skac3 ) ],
% 0.89/1.28     [ ssItem( skac2 ) ],
% 0.89/1.28     [ ~( singletonP( nil ) ) ],
% 0.89/1.28     [ ssItem( skaf83( X ) ) ],
% 0.89/1.28     [ ssList( skaf82( X ) ) ],
% 0.89/1.28     [ ssList( skaf81( X ) ) ],
% 0.89/1.28     [ ssList( skaf80( X ) ) ],
% 0.89/1.28     [ ssItem( skaf79( X ) ) ],
% 0.89/1.28     [ ssItem( skaf78( X ) ) ],
% 0.89/1.28     [ ssList( skaf77( X ) ) ],
% 0.89/1.28     [ ssList( skaf76( X ) ) ],
% 0.89/1.28     [ ssList( skaf75( X ) ) ],
% 0.89/1.28     [ ssItem( skaf74( X ) ) ],
% 0.89/1.28     [ ssList( skaf73( X ) ) ],
% 0.89/1.28     [ ssList( skaf72( X ) ) ],
% 0.89/1.28     [ ssList( skaf71( X ) ) ],
% 0.89/1.28     [ ssItem( skaf70( X ) ) ],
% 0.89/1.28     [ ssItem( skaf69( X ) ) ],
% 0.89/1.28     [ ssList( skaf68( X ) ) ],
% 0.89/1.28     [ ssList( skaf67( X ) ) ],
% 0.89/1.28     [ ssList( skaf66( X ) ) ],
% 0.89/1.28     [ ssItem( skaf65( X ) ) ],
% 0.89/1.28     [ ssItem( skaf64( X ) ) ],
% 0.89/1.28     [ ssList( skaf63( X ) ) ],
% 0.89/1.28     [ ssList( skaf62( X ) ) ],
% 0.89/1.28     [ ssList( skaf61( X ) ) ],
% 0.89/1.28     [ ssItem( skaf60( X ) ) ],
% 0.89/1.28     [ ssItem( skaf59( X ) ) ],
% 0.89/1.28     [ ssList( skaf58( X ) ) ],
% 0.89/1.28     [ ssList( skaf57( X ) ) ],
% 0.89/1.28     [ ssList( skaf56( X ) ) ],
% 0.89/1.28     [ ssItem( skaf55( X ) ) ],
% 0.89/1.28     [ ssItem( skaf54( X ) ) ],
% 0.89/1.28     [ ssList( skaf53( X ) ) ],
% 0.89/1.28     [ ssList( skaf52( X ) ) ],
% 0.89/1.28     [ ssList( skaf51( X ) ) ],
% 0.89/1.28     [ ssItem( skaf50( X ) ) ],
% 0.89/1.28     [ ssItem( skaf49( X ) ) ],
% 0.89/1.28     [ ssItem( skaf44( X ) ) ],
% 0.89/1.28     [ ssList( skaf48( X, Y ) ) ],
% 0.89/1.28     [ ssList( skaf47( X, Y ) ) ],
% 0.89/1.28     [ ssList( skaf46( X, Y ) ) ],
% 0.89/1.28     [ ssList( skaf45( X, Y ) ) ],
% 0.89/1.28     [ ssList( skaf43( X, Y ) ) ],
% 0.89/1.28     [ ssList( skaf42( X, Y ) ) ],
% 0.89/1.28     [ ~( =( skac3, skac2 ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.89/1.28     [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.89/1.28     [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.89/1.28     [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.89/1.28     [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.89/1.28     [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.89/1.28     [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.89/1.28     [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.89/1.28     [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.89/1.28     [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.89/1.28     [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.89/1.28     [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.89/1.28     [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.89/1.28     [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.89/1.28     [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.89/1.28     ],
% 0.89/1.28     [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP( 
% 0.89/1.28    X ) ],
% 0.89/1.28     [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP( 
% 0.89/1.28    X ) ],
% 0.89/1.28     [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.89/1.28     ) ],
% 0.89/1.28     [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.89/1.28     ) ],
% 0.89/1.28     [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.89/1.28     ) ],
% 0.89/1.28     [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.89/1.28     ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.89/1.28     [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.89/1.28     [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.89/1.28     [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.89/1.28     ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.89/1.28     [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.89/1.28     [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.89/1.28     [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.89/1.28     [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.89/1.28     ) ],
% 0.89/1.28     [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP( 
% 0.89/1.28    cons( Y, X ) ) ],
% 0.89/1.28     [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP( 
% 0.89/1.28    cons( Y, X ) ) ],
% 0.89/1.28     [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ), 
% 0.89/1.28    singletonP( Y ) ],
% 0.89/1.28     [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.89/1.28    , X ) ],
% 0.89/1.28     [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.89/1.28    , Y ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons( 
% 0.89/1.28    X, Y ) ) ],
% 0.89/1.28     [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.89/1.28    , Y ) ],
% 0.89/1.28     [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.89/1.28    , Y ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.89/1.28    , hd( Y ) ) ],
% 0.89/1.28     [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.89/1.28     ), strictorderedP( Y ), =( nil, Y ) ],
% 0.89/1.28     [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.89/1.28    , totalorderedP( Y ), =( nil, Y ) ],
% 0.89/1.28     [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.89/1.28    , =( Y, X ) ],
% 0.89/1.28     [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.89/1.28    ssList( Y ) ), =( Y, X ) ],
% 0.89/1.28     [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.89/1.28    ssList( Y ) ), =( Y, X ) ],
% 0.89/1.28     [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~( 
% 0.89/1.28    ssList( Y ) ), =( Y, X ) ],
% 0.89/1.28     [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.89/1.28    , =( Y, X ) ],
% 0.89/1.28     [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( 
% 0.89/1.28    skaf46( X, Y ), Y ), X ) ],
% 0.89/1.28     [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.89/1.28    , skaf45( X, Y ) ), X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.89/1.28    , app( tl( Y ), X ) ) ],
% 0.89/1.28     [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.89/1.28     ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.89/1.28     [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.89/1.28    , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.89/1.28     [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( 
% 0.89/1.28    X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.89/1.28     [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( 
% 0.89/1.28    X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.89/1.28     [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), 
% 0.89/1.28    memberP( cons( Y, Z ), X ) ],
% 0.89/1.28     [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.89/1.28     ) ), memberP( cons( Z, X ), Y ) ],
% 0.89/1.28     [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.89/1.28     ) ), memberP( app( X, Z ), Y ) ],
% 0.89/1.28     [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.89/1.28     ) ), memberP( app( Z, X ), Y ) ],
% 0.89/1.28     [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78( 
% 0.89/1.28    X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.89/1.28     [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~( 
% 0.89/1.28    ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.89/1.28     [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~( 
% 0.89/1.28    ssList( Z ) ), frontsegP( Z, X ) ],
% 0.89/1.28     [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.89/1.28    , =( app( X, Y ), nil ) ],
% 0.89/1.28     [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), 
% 0.89/1.28    ~( ssItem( X ) ), gt( X, Z ) ],
% 0.89/1.28     [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.89/1.28    , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.89/1.28     [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.89/1.28    , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.89/1.28     [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z, 
% 0.89/1.28    Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.89/1.28     [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.89/1.28    , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.89/1.28     [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.89/1.28    , ~( ssList( Z ) ), =( X, Z ) ],
% 0.89/1.28     [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.89/1.28    ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.89/1.28     [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.89/1.28    ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.89/1.28     [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~( 
% 0.89/1.28    ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.89/1.28     [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), 
% 0.89/1.28    ~( ssItem( X ) ), lt( X, Z ) ],
% 0.89/1.28     [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.89/1.28    , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.89/1.28     [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app( 
% 0.89/1.28    Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.89/1.28     [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), 
% 0.89/1.28    ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.89/1.28     [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~( 
% 0.89/1.28    ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.89/1.28     [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~( 
% 0.89/1.28    ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.89/1.28     [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ), 
% 0.89/1.28    ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.89/1.28     [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons( 
% 0.89/1.28    skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons( 
% 0.89/1.28    skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons( 
% 0.89/1.28    skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons( 
% 0.89/1.28    skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons( 
% 0.89/1.28    skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons( 
% 0.89/1.28    skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.89/1.28    ,
% 0.89/1.28     [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app( 
% 0.89/1.28    skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.89/1.28     [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app( 
% 0.89/1.28    skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.89/1.28     [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.89/1.28     ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.89/1.28     [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.89/1.28     ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.89/1.28     [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList( 
% 0.94/1.49    Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.94/1.49     [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.94/1.49    , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.94/1.49     [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~( 
% 0.94/1.49    ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.94/1.49    ,
% 0.94/1.49     [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.94/1.49     ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.94/1.49     [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~( 
% 0.94/1.49    ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.94/1.49     [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.94/1.49     ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.94/1.49     [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.94/1.49     ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons( 
% 0.94/1.49    T, Y ) ) ],
% 0.94/1.49     [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.94/1.49     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~( 
% 0.94/1.49    duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.94/1.49     [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~( 
% 0.94/1.49    ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.94/1.49    , ~( ssList( U ) ), =( Y, Z ) ],
% 0.94/1.49     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.94/1.49     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.94/1.49     ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.94/1.49     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.94/1.49     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.94/1.49     ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.94/1.49     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.94/1.49     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.94/1.49     ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.94/1.49    ,
% 0.94/1.49     [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.94/1.49     ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.94/1.49     ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.94/1.49    ,
% 0.94/1.49     [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.94/1.49    , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.94/1.49     ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList( 
% 0.94/1.49    W ) ) ],
% 0.94/1.49     [ ssList( sk1 ) ],
% 0.94/1.49     [ ssList( sk2 ) ],
% 0.94/1.49     [ ssList( sk3 ) ],
% 0.94/1.49     [ ssList( sk4 ) ],
% 0.94/1.49     [ =( sk2, sk4 ) ],
% 0.94/1.49     [ =( sk1, sk3 ) ],
% 0.94/1.49     [ =( sk4, sk3 ) ],
% 0.94/1.49     [ ~( ssList( X ) ), ~( neq( X, nil ) ), ~( frontsegP( sk2, X ) ), ~( 
% 0.94/1.49    frontsegP( sk1, X ) ) ],
% 0.94/1.49     [ ~( =( nil, sk2 ) ), ~( =( nil, sk1 ) ) ]
% 0.94/1.49  ] .
% 0.94/1.49  
% 0.94/1.49  
% 0.94/1.49  percentage equality = 0.165017, percentage horn = 0.842932
% 0.94/1.49  This is a problem with some equality
% 0.94/1.49  
% 0.94/1.49  
% 0.94/1.49  
% 0.94/1.49  Options Used:
% 0.94/1.49  
% 0.94/1.49  useres =            1
% 0.94/1.49  useparamod =        1
% 0.94/1.49  useeqrefl =         1
% 0.94/1.49  useeqfact =         1
% 0.94/1.49  usefactor =         1
% 0.94/1.49  usesimpsplitting =  0
% 0.94/1.49  usesimpdemod =      5
% 0.94/1.49  usesimpres =        3
% 0.94/1.49  
% 0.94/1.49  resimpinuse      =  1000
% 0.94/1.49  resimpclauses =     20000
% 0.94/1.49  substype =          eqrewr
% 0.94/1.49  backwardsubs =      1
% 0.94/1.49  selectoldest =      5
% 0.94/1.49  
% 0.94/1.49  litorderings [0] =  split
% 0.94/1.49  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.94/1.49  
% 0.94/1.49  termordering =      kbo
% 0.94/1.49  
% 0.94/1.49  litapriori =        0
% 0.94/1.49  termapriori =       1
% 0.94/1.49  litaposteriori =    0
% 0.94/1.49  termaposteriori =   0
% 0.94/1.49  demodaposteriori =  0
% 0.94/1.49  ordereqreflfact =   0
% 0.94/1.49  
% 0.94/1.49  litselect =         negord
% 0.94/1.49  
% 0.94/1.49  maxweight =         15
% 0.94/1.49  maxdepth =          30000
% 0.94/1.49  maxlength =         115
% 0.94/1.49  maxnrvars =         195
% 0.94/1.49  excuselevel =       1
% 0.94/1.49  increasemaxweight = 1
% 0.94/1.49  
% 0.94/1.49  maxselected =       10000000
% 0.94/1.49  maxnrclauses =      10000000
% 0.94/1.49  
% 0.94/1.49  showgenerated =    0
% 0.94/1.49  showkept =         0
% 0.94/1.49  showselected =     0
% 0.94/1.49  showdeleted =      0
% 0.94/1.49  showresimp =       1
% 0.94/1.49  showstatus =       2000
% 0.94/1.49  
% 0.94/1.49  prologoutput =     1
% 0.94/1.49  nrgoals =          5000000
% 0.94/1.49  totalproof =       1
% 0.94/1.49  
% 0.94/1.49  Symbols occurring in the translation:
% 0.94/1.49  
% 0.94/1.49  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.94/1.49  .  [1, 2]      (w:1, o:76, a:1, s:1, b:0), 
% 0.94/1.49  !  [4, 1]      (w:0, o:23, a:1, s:1, b:0), 
% 0.94/1.49  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.43/1.79  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.43/1.79  nil  [39, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 1.43/1.79  equalelemsP  [40, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 1.43/1.79  duplicatefreeP  [41, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 1.43/1.79  strictorderedP  [42, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 1.43/1.79  totalorderedP  [43, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 1.43/1.79  strictorderP  [44, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 1.43/1.79  totalorderP  [45, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 1.43/1.79  cyclefreeP  [46, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 1.43/1.79  ssList  [47, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 1.43/1.79  skac3  [48, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 1.43/1.79  ssItem  [49, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 1.43/1.79  skac2  [50, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 1.43/1.79  singletonP  [51, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 1.43/1.79  skaf83  [53, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 1.43/1.79  skaf82  [54, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 1.43/1.79  skaf81  [55, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 1.43/1.79  skaf80  [56, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 1.43/1.79  skaf79  [57, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 1.43/1.79  skaf78  [58, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 1.43/1.79  skaf77  [59, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 1.43/1.79  skaf76  [60, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 1.43/1.79  skaf75  [61, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 1.43/1.79  skaf74  [62, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 1.43/1.79  skaf73  [63, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 1.43/1.79  skaf72  [64, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 1.43/1.79  skaf71  [65, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 1.43/1.79  skaf70  [66, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 1.43/1.79  skaf69  [67, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 1.43/1.79  skaf68  [68, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 1.43/1.79  skaf67  [69, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 1.43/1.79  skaf66  [70, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 1.43/1.79  skaf65  [71, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 1.43/1.79  skaf64  [72, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 1.43/1.79  skaf63  [73, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 1.43/1.79  skaf62  [74, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 1.43/1.79  skaf61  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 1.43/1.79  skaf60  [76, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 1.43/1.79  skaf59  [77, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 1.43/1.79  skaf58  [78, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 1.43/1.79  skaf57  [79, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 1.43/1.79  skaf56  [80, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 1.43/1.79  skaf55  [81, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 1.43/1.79  skaf54  [82, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 1.43/1.79  skaf53  [83, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 1.43/1.79  skaf52  [84, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 1.43/1.79  skaf51  [85, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 1.43/1.79  skaf50  [86, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 1.43/1.79  skaf49  [87, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 1.43/1.79  skaf44  [88, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 1.43/1.79  skaf48  [90, 2]      (w:1, o:105, a:1, s:1, b:0), 
% 1.43/1.79  skaf47  [91, 2]      (w:1, o:104, a:1, s:1, b:0), 
% 1.43/1.79  skaf46  [92, 2]      (w:1, o:103, a:1, s:1, b:0), 
% 1.43/1.79  skaf45  [93, 2]      (w:1, o:102, a:1, s:1, b:0), 
% 1.43/1.79  skaf43  [94, 2]      (w:1, o:107, a:1, s:1, b:0), 
% 1.43/1.79  skaf42  [95, 2]      (w:1, o:106, a:1, s:1, b:0), 
% 1.43/1.79  geq  [96, 2]      (w:1, o:109, a:1, s:1, b:0), 
% 1.43/1.79  segmentP  [97, 2]      (w:1, o:110, a:1, s:1, b:0), 
% 1.43/1.79  rearsegP  [98, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 1.43/1.79  frontsegP  [99, 2]      (w:1, o:108, a:1, s:1, b:0), 
% 1.43/1.79  leq  [100, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 1.43/1.79  lt  [101, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 1.43/1.79  cons  [102, 2]      (w:1, o:113, a:1, s:1, b:0), 
% 1.43/1.79  memberP  [103, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 1.43/1.79  app  [104, 2]      (w:1, o:115, a:1, s:1, b:0), 
% 1.43/1.79  tl  [105, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 1.43/1.79  hd  [106, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 1.43/1.79  neq  [107, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 1.43/1.79  gt  [108, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 1.43/1.79  sk1  [113, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 1.43/1.79  sk2  [114, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 1.43/1.79  sk3  [115, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 1.43/1.79  sk4  [116, 0]      (w:1, o:10, a:1, s:1, b:0).
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Starting Search:
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Intermediate Status:
% 1.43/1.79  Generated:    4061
% 1.43/1.79  Kept:         2002
% 1.43/1.79  Inuse:        202
% 1.43/1.79  Deleted:      4
% 1.43/1.79  Deletedinuse: 0
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Intermediate Status:
% 1.43/1.79  Generated:    9186
% 1.43/1.79  Kept:         4766
% 1.43/1.79  Inuse:        292
% 1.43/1.79  Deleted:      4
% 1.43/1.79  Deletedinuse: 0
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Intermediate Status:
% 1.43/1.79  Generated:    15149
% 1.43/1.79  Kept:         6970
% 1.43/1.79  Inuse:        372
% 1.43/1.79  Deleted:      4
% 1.43/1.79  Deletedinuse: 0
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Intermediate Status:
% 1.43/1.79  Generated:    25524
% 1.43/1.79  Kept:         9231
% 1.43/1.79  Inuse:        407
% 1.43/1.79  Deleted:      4
% 1.43/1.79  Deletedinuse: 0
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Bliksems!, er is een bewijs:
% 1.43/1.79  % SZS status Unsatisfiable
% 1.43/1.79  % SZS output start Refutation
% 1.43/1.79  
% 1.43/1.79  clause( 7, [ ssList( nil ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 1.43/1.79     )
% 1.43/1.79  .
% 1.43/1.79  clause( 125, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X
% 1.43/1.79     ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 182, [ ssList( sk1 ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 186, [ =( sk4, sk2 ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 187, [ =( sk3, sk1 ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 188, [ =( sk2, sk1 ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 189, [ ~( ssList( X ) ), ~( neq( X, nil ) ), ~( frontsegP( sk1, X )
% 1.43/1.79     ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 190, [ ~( =( nil, sk1 ) ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 3782, [ ~( =( X, sk1 ) ), ~( ssList( X ) ), neq( X, nil ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 3805, [ neq( sk1, nil ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 9527, [ ~( frontsegP( X, sk1 ) ), ~( frontsegP( sk1, X ) ), ~( 
% 1.43/1.79    ssList( X ) ), ~( ssList( sk1 ) ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 9599, [ ~( ssList( sk1 ) ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 9605, [] )
% 1.43/1.79  .
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  % SZS output end Refutation
% 1.43/1.79  found a proof!
% 1.43/1.79  
% 1.43/1.79  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.43/1.79  
% 1.43/1.79  initialclauses(
% 1.43/1.79  [ clause( 9607, [ equalelemsP( nil ) ] )
% 1.43/1.79  , clause( 9608, [ duplicatefreeP( nil ) ] )
% 1.43/1.79  , clause( 9609, [ strictorderedP( nil ) ] )
% 1.43/1.79  , clause( 9610, [ totalorderedP( nil ) ] )
% 1.43/1.79  , clause( 9611, [ strictorderP( nil ) ] )
% 1.43/1.79  , clause( 9612, [ totalorderP( nil ) ] )
% 1.43/1.79  , clause( 9613, [ cyclefreeP( nil ) ] )
% 1.43/1.79  , clause( 9614, [ ssList( nil ) ] )
% 1.43/1.79  , clause( 9615, [ ssItem( skac3 ) ] )
% 1.43/1.79  , clause( 9616, [ ssItem( skac2 ) ] )
% 1.43/1.79  , clause( 9617, [ ~( singletonP( nil ) ) ] )
% 1.43/1.79  , clause( 9618, [ ssItem( skaf83( X ) ) ] )
% 1.43/1.79  , clause( 9619, [ ssList( skaf82( X ) ) ] )
% 1.43/1.79  , clause( 9620, [ ssList( skaf81( X ) ) ] )
% 1.43/1.79  , clause( 9621, [ ssList( skaf80( X ) ) ] )
% 1.43/1.79  , clause( 9622, [ ssItem( skaf79( X ) ) ] )
% 1.43/1.79  , clause( 9623, [ ssItem( skaf78( X ) ) ] )
% 1.43/1.79  , clause( 9624, [ ssList( skaf77( X ) ) ] )
% 1.43/1.79  , clause( 9625, [ ssList( skaf76( X ) ) ] )
% 1.43/1.79  , clause( 9626, [ ssList( skaf75( X ) ) ] )
% 1.43/1.79  , clause( 9627, [ ssItem( skaf74( X ) ) ] )
% 1.43/1.79  , clause( 9628, [ ssList( skaf73( X ) ) ] )
% 1.43/1.79  , clause( 9629, [ ssList( skaf72( X ) ) ] )
% 1.43/1.79  , clause( 9630, [ ssList( skaf71( X ) ) ] )
% 1.43/1.79  , clause( 9631, [ ssItem( skaf70( X ) ) ] )
% 1.43/1.79  , clause( 9632, [ ssItem( skaf69( X ) ) ] )
% 1.43/1.79  , clause( 9633, [ ssList( skaf68( X ) ) ] )
% 1.43/1.79  , clause( 9634, [ ssList( skaf67( X ) ) ] )
% 1.43/1.79  , clause( 9635, [ ssList( skaf66( X ) ) ] )
% 1.43/1.79  , clause( 9636, [ ssItem( skaf65( X ) ) ] )
% 1.43/1.79  , clause( 9637, [ ssItem( skaf64( X ) ) ] )
% 1.43/1.79  , clause( 9638, [ ssList( skaf63( X ) ) ] )
% 1.43/1.79  , clause( 9639, [ ssList( skaf62( X ) ) ] )
% 1.43/1.79  , clause( 9640, [ ssList( skaf61( X ) ) ] )
% 1.43/1.79  , clause( 9641, [ ssItem( skaf60( X ) ) ] )
% 1.43/1.79  , clause( 9642, [ ssItem( skaf59( X ) ) ] )
% 1.43/1.79  , clause( 9643, [ ssList( skaf58( X ) ) ] )
% 1.43/1.79  , clause( 9644, [ ssList( skaf57( X ) ) ] )
% 1.43/1.79  , clause( 9645, [ ssList( skaf56( X ) ) ] )
% 1.43/1.79  , clause( 9646, [ ssItem( skaf55( X ) ) ] )
% 1.43/1.79  , clause( 9647, [ ssItem( skaf54( X ) ) ] )
% 1.43/1.79  , clause( 9648, [ ssList( skaf53( X ) ) ] )
% 1.43/1.79  , clause( 9649, [ ssList( skaf52( X ) ) ] )
% 1.43/1.79  , clause( 9650, [ ssList( skaf51( X ) ) ] )
% 1.43/1.79  , clause( 9651, [ ssItem( skaf50( X ) ) ] )
% 1.43/1.79  , clause( 9652, [ ssItem( skaf49( X ) ) ] )
% 1.43/1.79  , clause( 9653, [ ssItem( skaf44( X ) ) ] )
% 1.43/1.79  , clause( 9654, [ ssList( skaf48( X, Y ) ) ] )
% 1.43/1.79  , clause( 9655, [ ssList( skaf47( X, Y ) ) ] )
% 1.43/1.79  , clause( 9656, [ ssList( skaf46( X, Y ) ) ] )
% 1.43/1.79  , clause( 9657, [ ssList( skaf45( X, Y ) ) ] )
% 1.43/1.79  , clause( 9658, [ ssList( skaf43( X, Y ) ) ] )
% 1.43/1.79  , clause( 9659, [ ssList( skaf42( X, Y ) ) ] )
% 1.43/1.79  , clause( 9660, [ ~( =( skac3, skac2 ) ) ] )
% 1.43/1.79  , clause( 9661, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 1.43/1.79  , clause( 9662, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 1.43/1.79  , clause( 9663, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 1.43/1.79  , clause( 9664, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 1.43/1.79  , clause( 9665, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 1.43/1.79  , clause( 9666, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 1.43/1.79  , clause( 9667, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.43/1.79  , clause( 9668, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 1.43/1.79  , clause( 9669, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 1.43/1.79  , clause( 9670, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 1.43/1.79  , clause( 9671, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 1.43/1.79  , clause( 9672, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 1.43/1.79  , clause( 9673, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 1.43/1.79  , clause( 9674, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 1.43/1.79  , clause( 9675, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 1.43/1.79  , clause( 9676, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 1.43/1.79  , clause( 9677, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 1.43/1.79  , clause( 9678, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 1.43/1.79  , clause( 9679, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 1.43/1.79  , clause( 9680, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 1.43/1.79  , clause( 9681, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 1.43/1.79  , clause( 9682, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 1.43/1.79  , clause( 9683, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 1.43/1.79  , clause( 9684, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 1.43/1.79  , clause( 9685, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9686, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9687, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9688, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9689, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9690, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9691, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9692, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9693, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), 
% 1.43/1.79    skaf49( X ) ) ] )
% 1.43/1.79  , clause( 9694, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), 
% 1.43/1.79    skaf50( X ) ) ] )
% 1.43/1.79  , clause( 9695, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), 
% 1.43/1.79    equalelemsP( X ) ] )
% 1.43/1.79  , clause( 9696, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), 
% 1.43/1.79    strictorderedP( X ) ] )
% 1.43/1.79  , clause( 9697, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), 
% 1.43/1.79    totalorderedP( X ) ] )
% 1.43/1.79  , clause( 9698, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), 
% 1.43/1.79    strictorderP( X ) ] )
% 1.43/1.79  , clause( 9699, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), 
% 1.43/1.79    strictorderP( X ) ] )
% 1.43/1.79  , clause( 9700, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), 
% 1.43/1.79    totalorderP( X ) ] )
% 1.43/1.79  , clause( 9701, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), 
% 1.43/1.79    totalorderP( X ) ] )
% 1.43/1.79  , clause( 9702, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) )
% 1.43/1.79    , Y ) ] )
% 1.43/1.79  , clause( 9703, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) )
% 1.43/1.79    , X ) ] )
% 1.43/1.79  , clause( 9704, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( 
% 1.43/1.79    Y ) ) ] )
% 1.43/1.79  , clause( 9705, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9706, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9707, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( 
% 1.43/1.79    X ), nil ), X ) ] )
% 1.43/1.79  , clause( 9708, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9709, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( 
% 1.43/1.79    X, Y ) ] )
% 1.43/1.79  , clause( 9710, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( 
% 1.43/1.79    nil, X ) ] )
% 1.43/1.79  , clause( 9711, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 1.43/1.79    Y, X ) ] )
% 1.43/1.79  , clause( 9712, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( 
% 1.43/1.79    Y, X ) ] )
% 1.43/1.79  , clause( 9713, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( 
% 1.43/1.79    Y, X ) ] )
% 1.43/1.79  , clause( 9714, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( 
% 1.43/1.79    Y, X ) ] )
% 1.43/1.79  , clause( 9715, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 1.43/1.79     ), =( nil, X ) ] )
% 1.43/1.79  , clause( 9716, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( 
% 1.43/1.79    ssItem( Y ) ) ] )
% 1.43/1.79  , clause( 9717, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( 
% 1.43/1.79    ssItem( X ) ) ] )
% 1.43/1.79  , clause( 9718, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), 
% 1.43/1.79    strictorderedP( cons( Y, X ) ) ] )
% 1.43/1.79  , clause( 9719, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), 
% 1.43/1.79    totalorderedP( cons( Y, X ) ) ] )
% 1.43/1.79  , clause( 9720, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( 
% 1.43/1.79    ssItem( Y ) ) ] )
% 1.43/1.79  , clause( 9721, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( 
% 1.43/1.79    ssList( X ) ) ] )
% 1.43/1.79  , clause( 9722, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( 
% 1.43/1.79    Y ) ), singletonP( Y ) ] )
% 1.43/1.79  , clause( 9723, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( 
% 1.43/1.79    ssItem( X ) ) ] )
% 1.43/1.79  , clause( 9724, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 1.43/1.79    X ) ), =( nil, X ) ] )
% 1.43/1.79  , clause( 9725, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( 
% 1.43/1.79    X ) ), =( nil, Y ) ] )
% 1.43/1.79  , clause( 9726, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 1.43/1.79     ), Y ), cons( X, Y ) ) ] )
% 1.43/1.79  , clause( 9727, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 1.43/1.79    X, Y ), =( X, Y ) ] )
% 1.43/1.79  , clause( 9728, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( 
% 1.43/1.79    X, Y ), =( X, Y ) ] )
% 1.43/1.79  , clause( 9729, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( 
% 1.43/1.79    app( Y, X ) ), hd( Y ) ) ] )
% 1.43/1.79  , clause( 9730, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 1.43/1.79    ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 1.43/1.79  , clause( 9731, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( 
% 1.43/1.79    ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 1.43/1.79  , clause( 9732, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( 
% 1.43/1.79    ssItem( Y ) ), =( Y, X ) ] )
% 1.43/1.79  , clause( 9733, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( 
% 1.43/1.79    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.43/1.79  , clause( 9734, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( 
% 1.43/1.79    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.43/1.79  , clause( 9735, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( 
% 1.43/1.79    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.43/1.79  , clause( 9736, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( 
% 1.43/1.79    ssItem( Y ) ), =( Y, X ) ] )
% 1.43/1.79  , clause( 9737, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 1.43/1.79    , =( app( skaf46( X, Y ), Y ), X ) ] )
% 1.43/1.79  , clause( 9738, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.43/1.79     ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 1.43/1.79  , clause( 9739, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( 
% 1.43/1.79    app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 1.43/1.79  , clause( 9740, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), 
% 1.43/1.79    ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 1.43/1.79  , clause( 9741, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( 
% 1.43/1.79    ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 1.43/1.79  , clause( 9742, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) )
% 1.43/1.79    , ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 1.43/1.79  , clause( 9743, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 1.43/1.79     ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 1.43/1.79  , clause( 9744, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( 
% 1.43/1.79    ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 1.43/1.79  , clause( 9745, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 1.43/1.79    , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 1.43/1.79  , clause( 9746, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 1.43/1.79    , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 1.43/1.79  , clause( 9747, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 1.43/1.79    , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 1.43/1.79  , clause( 9748, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), 
% 1.43/1.79    cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 1.43/1.79  , clause( 9749, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 1.43/1.79     ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 1.43/1.79  , clause( 9750, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 1.43/1.79     ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 1.43/1.79  , clause( 9751, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( 
% 1.43/1.79    ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.43/1.79  , clause( 9752, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 1.43/1.79    ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 1.43/1.79  , clause( 9753, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 1.43/1.79    ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 1.43/1.79  , clause( 9754, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 1.43/1.79    ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 1.43/1.79  , clause( 9755, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( 
% 1.43/1.79    app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 1.43/1.79  , clause( 9756, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( 
% 1.43/1.79    ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 1.43/1.79  , clause( 9757, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( 
% 1.43/1.79    ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 1.43/1.79  , clause( 9758, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( 
% 1.43/1.79    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 1.43/1.79  , clause( 9759, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( 
% 1.43/1.79    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 1.43/1.79  , clause( 9760, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( 
% 1.43/1.79    Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 1.43/1.79  , clause( 9761, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 1.43/1.79    ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 1.43/1.79  , clause( 9762, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( 
% 1.43/1.79    ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 1.43/1.79  , clause( 9763, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( 
% 1.43/1.79    cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 1.43/1.79  , clause( 9764, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( 
% 1.43/1.79    ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 1.43/1.79  , clause( 9765, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( 
% 1.43/1.79    ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9766, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( 
% 1.43/1.79    ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, 
% 1.43/1.79    Y ) ] )
% 1.43/1.79  , clause( 9767, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( 
% 1.43/1.79    ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 1.43/1.79  , clause( 9768, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( 
% 1.43/1.79    skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), 
% 1.43/1.79    skaf77( X ) ) ), X ) ] )
% 1.43/1.79  , clause( 9769, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( 
% 1.43/1.79    skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), 
% 1.43/1.79    skaf73( X ) ) ), X ) ] )
% 1.43/1.79  , clause( 9770, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( 
% 1.43/1.79    X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) )
% 1.43/1.79     ), X ) ] )
% 1.43/1.79  , clause( 9771, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( 
% 1.43/1.79    X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 1.43/1.79     ), X ) ] )
% 1.43/1.79  , clause( 9772, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( 
% 1.43/1.79    X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 1.43/1.79     ), X ) ] )
% 1.43/1.79  , clause( 9773, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X
% 1.43/1.79     ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 1.43/1.79     ), X ) ] )
% 1.43/1.79  , clause( 9774, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 1.43/1.79    , =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 1.43/1.79  , clause( 9775, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 1.43/1.79    , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 1.43/1.79  , clause( 9776, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), 
% 1.43/1.79    ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 1.43/1.79  , clause( 9777, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), 
% 1.43/1.79    ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 1.43/1.79  , clause( 9778, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) )
% 1.43/1.79    , ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9779, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( 
% 1.43/1.79    ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 1.43/1.79  , clause( 9780, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( 
% 1.43/1.79    T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 1.43/1.79    , T ) ] )
% 1.43/1.79  , clause( 9781, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), 
% 1.47/1.82    ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 1.47/1.82     )
% 1.47/1.82  , clause( 9782, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( 
% 1.47/1.82    T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 1.47/1.82     )
% 1.47/1.82  , clause( 9783, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), 
% 1.47/1.82    ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 1.47/1.82     )
% 1.47/1.82  , clause( 9784, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 1.47/1.82    , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( 
% 1.47/1.82    Z, X ), cons( T, Y ) ) ] )
% 1.47/1.82  , clause( 9785, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 1.47/1.82    , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 1.47/1.82    , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 1.47/1.82  , clause( 9786, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( 
% 1.47/1.82    T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( 
% 1.47/1.82    equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 1.47/1.82  , clause( 9787, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.47/1.82    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.47/1.82    , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 1.47/1.82     ) ] )
% 1.47/1.82  , clause( 9788, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.47/1.82    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.47/1.82    , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 1.47/1.82     ) ] )
% 1.47/1.82  , clause( 9789, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.47/1.82    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.47/1.82    , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 1.47/1.82    , lt( T, Y ) ] )
% 1.47/1.82  , clause( 9790, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.47/1.82    , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.47/1.82    , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 1.47/1.82    , leq( T, Y ) ] )
% 1.47/1.82  , clause( 9791, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, 
% 1.47/1.82    cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 1.47/1.82    , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 1.47/1.82     ) ), ~( ssList( W ) ) ] )
% 1.47/1.82  , clause( 9792, [ ssList( sk1 ) ] )
% 1.47/1.82  , clause( 9793, [ ssList( sk2 ) ] )
% 1.47/1.82  , clause( 9794, [ ssList( sk3 ) ] )
% 1.47/1.82  , clause( 9795, [ ssList( sk4 ) ] )
% 1.47/1.82  , clause( 9796, [ =( sk2, sk4 ) ] )
% 1.47/1.82  , clause( 9797, [ =( sk1, sk3 ) ] )
% 1.47/1.82  , clause( 9798, [ =( sk4, sk3 ) ] )
% 1.47/1.82  , clause( 9799, [ ~( ssList( X ) ), ~( neq( X, nil ) ), ~( frontsegP( sk2, 
% 1.47/1.82    X ) ), ~( frontsegP( sk1, X ) ) ] )
% 1.47/1.82  , clause( 9800, [ ~( =( nil, sk2 ) ), ~( =( nil, sk1 ) ) ] )
% 1.47/1.82  ] ).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  subsumption(
% 1.47/1.82  clause( 7, [ ssList( nil ) ] )
% 1.47/1.82  , clause( 9614, [ ssList( nil ) ] )
% 1.47/1.82  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  subsumption(
% 1.47/1.82  clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.47/1.82  , clause( 9667, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.47/1.82  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 1.47/1.82    1 )] ) ).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  subsumption(
% 1.47/1.82  clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 1.47/1.82     )
% 1.47/1.82  , clause( 9706, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 1.47/1.82     ) ] )
% 1.47/1.82  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.82     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  subsumption(
% 1.47/1.82  clause( 125, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X
% 1.47/1.82     ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.47/1.82  , clause( 9735, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( 
% 1.47/1.82    X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.47/1.82  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.82     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  subsumption(
% 1.47/1.82  clause( 182, [ ssList( sk1 ) ] )
% 1.47/1.82  , clause( 9792, [ ssList( sk1 ) ] )
% 1.47/1.82  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  eqswap(
% 1.47/1.82  clause( 11421, [ =( sk4, sk2 ) ] )
% 1.47/1.82  , clause( 9796, [ =( sk2, sk4 ) ] )
% 1.47/1.82  , 0, substitution( 0, [] )).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  subsumption(
% 1.47/1.82  clause( 186, [ =( sk4, sk2 ) ] )
% 1.47/1.82  , clause( 11421, [ =( sk4, sk2 ) ] )
% 1.47/1.82  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------