%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC189-1 : 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 19:34:38 EDT 2022
% Result : Unsatisfiable 6.28s 6.67s
% Output : Refutation 6.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC189-1 : TPTP v8.1.0. Released v2.4.0.
% 0.14/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jun 12 23:37:58 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.75/1.13 *** allocated 10000 integers for termspace/termends
% 0.75/1.13 *** allocated 10000 integers for clauses
% 0.75/1.13 *** allocated 10000 integers for justifications
% 0.75/1.13 Bliksem 1.12
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Automatic Strategy Selection
% 0.75/1.13
% 0.75/1.13 Clauses:
% 0.75/1.13 [
% 0.75/1.13 [ equalelemsP( nil ) ],
% 0.75/1.13 [ duplicatefreeP( nil ) ],
% 0.75/1.13 [ strictorderedP( nil ) ],
% 0.75/1.13 [ totalorderedP( nil ) ],
% 0.75/1.13 [ strictorderP( nil ) ],
% 0.75/1.13 [ totalorderP( nil ) ],
% 0.75/1.13 [ cyclefreeP( nil ) ],
% 0.75/1.13 [ ssList( nil ) ],
% 0.75/1.13 [ ssItem( skac3 ) ],
% 0.75/1.13 [ ssItem( skac2 ) ],
% 0.75/1.13 [ ~( singletonP( nil ) ) ],
% 0.75/1.13 [ ssItem( skaf83( X ) ) ],
% 0.75/1.13 [ ssList( skaf82( X ) ) ],
% 0.75/1.13 [ ssList( skaf81( X ) ) ],
% 0.75/1.13 [ ssList( skaf80( X ) ) ],
% 0.75/1.13 [ ssItem( skaf79( X ) ) ],
% 0.75/1.13 [ ssItem( skaf78( X ) ) ],
% 0.75/1.13 [ ssList( skaf77( X ) ) ],
% 0.75/1.13 [ ssList( skaf76( X ) ) ],
% 0.75/1.13 [ ssList( skaf75( X ) ) ],
% 0.75/1.13 [ ssItem( skaf74( X ) ) ],
% 0.75/1.13 [ ssList( skaf73( X ) ) ],
% 0.75/1.13 [ ssList( skaf72( X ) ) ],
% 0.75/1.13 [ ssList( skaf71( X ) ) ],
% 0.75/1.13 [ ssItem( skaf70( X ) ) ],
% 0.75/1.13 [ ssItem( skaf69( X ) ) ],
% 0.75/1.13 [ ssList( skaf68( X ) ) ],
% 0.75/1.13 [ ssList( skaf67( X ) ) ],
% 0.75/1.13 [ ssList( skaf66( X ) ) ],
% 0.75/1.13 [ ssItem( skaf65( X ) ) ],
% 0.75/1.13 [ ssItem( skaf64( X ) ) ],
% 0.75/1.13 [ ssList( skaf63( X ) ) ],
% 0.75/1.13 [ ssList( skaf62( X ) ) ],
% 0.75/1.13 [ ssList( skaf61( X ) ) ],
% 0.75/1.13 [ ssItem( skaf60( X ) ) ],
% 0.75/1.13 [ ssItem( skaf59( X ) ) ],
% 0.75/1.13 [ ssList( skaf58( X ) ) ],
% 0.75/1.13 [ ssList( skaf57( X ) ) ],
% 0.75/1.13 [ ssList( skaf56( X ) ) ],
% 0.75/1.13 [ ssItem( skaf55( X ) ) ],
% 0.75/1.13 [ ssItem( skaf54( X ) ) ],
% 0.75/1.13 [ ssList( skaf53( X ) ) ],
% 0.75/1.13 [ ssList( skaf52( X ) ) ],
% 0.75/1.13 [ ssList( skaf51( X ) ) ],
% 0.75/1.13 [ ssItem( skaf50( X ) ) ],
% 0.75/1.13 [ ssItem( skaf49( X ) ) ],
% 0.75/1.13 [ ssItem( skaf44( X ) ) ],
% 0.75/1.13 [ ssList( skaf48( X, Y ) ) ],
% 0.75/1.13 [ ssList( skaf47( X, Y ) ) ],
% 0.75/1.13 [ ssList( skaf46( X, Y ) ) ],
% 0.75/1.13 [ ssList( skaf45( X, Y ) ) ],
% 0.75/1.13 [ ssList( skaf43( X, Y ) ) ],
% 0.75/1.13 [ ssList( skaf42( X, Y ) ) ],
% 0.75/1.13 [ ~( =( skac3, skac2 ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.75/1.13 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.75/1.13 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.75/1.13 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.75/1.13 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.75/1.13 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.75/1.13 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.75/1.13 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.75/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.75/1.13 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.75/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.75/1.13 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.75/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.75/1.13 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.75/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.75/1.13 ],
% 0.75/1.13 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.75/1.13 X ) ],
% 0.75/1.13 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.75/1.13 X ) ],
% 0.75/1.13 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.75/1.13 ) ],
% 0.75/1.13 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.75/1.13 ) ],
% 0.75/1.13 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.75/1.13 ) ],
% 0.75/1.13 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.75/1.13 ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.75/1.13 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.75/1.13 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.75/1.13 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.75/1.13 ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.75/1.13 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.75/1.13 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.75/1.13 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.75/1.13 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.75/1.13 ) ],
% 0.75/1.13 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.75/1.13 cons( Y, X ) ) ],
% 0.75/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.75/1.13 cons( Y, X ) ) ],
% 0.75/1.13 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.75/1.13 singletonP( Y ) ],
% 0.75/1.13 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.75/1.13 , X ) ],
% 0.75/1.13 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.75/1.13 , Y ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.75/1.13 X, Y ) ) ],
% 0.75/1.13 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.75/1.13 , Y ) ],
% 0.75/1.13 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.75/1.13 , Y ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.75/1.13 , hd( Y ) ) ],
% 0.75/1.13 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.75/1.13 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.75/1.13 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.75/1.13 , totalorderedP( Y ), =( nil, Y ) ],
% 0.75/1.13 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.75/1.13 , =( Y, X ) ],
% 0.75/1.13 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.75/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.75/1.13 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.75/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.75/1.13 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.75/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.75/1.13 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.75/1.13 , =( Y, X ) ],
% 0.75/1.13 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.75/1.13 skaf46( X, Y ), Y ), X ) ],
% 0.75/1.13 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.75/1.13 , skaf45( X, Y ) ), X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.75/1.13 , app( tl( Y ), X ) ) ],
% 0.75/1.13 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.75/1.13 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.75/1.13 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.75/1.13 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.75/1.13 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.75/1.13 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.75/1.13 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.75/1.13 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.75/1.13 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.75/1.13 memberP( cons( Y, Z ), X ) ],
% 0.75/1.13 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.75/1.13 ) ), memberP( cons( Z, X ), Y ) ],
% 0.75/1.13 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.75/1.13 ) ), memberP( app( X, Z ), Y ) ],
% 0.75/1.13 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.75/1.13 ) ), memberP( app( Z, X ), Y ) ],
% 0.75/1.13 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.75/1.13 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.75/1.13 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.75/1.13 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.75/1.13 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.75/1.13 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.75/1.13 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.75/1.13 , =( app( X, Y ), nil ) ],
% 0.75/1.13 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.75/1.13 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.75/1.13 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.75/1.13 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.75/1.13 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.75/1.13 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.75/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.75/1.13 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.75/1.13 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.75/1.13 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.75/1.13 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.75/1.13 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.75/1.13 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.75/1.13 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.75/1.13 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.75/1.13 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.75/1.13 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.75/1.13 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.75/1.13 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.75/1.13 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.75/1.13 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.75/1.13 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.75/1.13 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.75/1.13 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.75/1.13 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.75/1.13 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.75/1.13 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.75/1.13 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.75/1.13 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.75/1.13 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.75/1.13 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.75/1.13 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.75/1.13 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.75/1.13 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.75/1.13 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.75/1.13 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.75/1.13 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.75/1.13 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.75/1.13 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.75/1.13 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.75/1.13 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.75/1.13 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.75/1.13 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.75/1.13 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.75/1.13 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.75/1.13 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.75/1.13 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.75/1.13 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.75/1.13 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.75/1.13 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.75/1.13 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.75/1.13 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.75/1.13 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.75/1.13 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.75/1.13 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.75/1.13 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.75/1.13 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.75/1.13 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.75/1.13 T, Y ) ) ],
% 0.75/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.75/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.75/1.13 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.75/1.13 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.75/1.13 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.75/1.13 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.75/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.75/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.75/1.13 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.75/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.75/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.75/1.13 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.75/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.75/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.75/1.13 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.75/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.75/1.13 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.75/1.13 ,
% 0.75/1.13 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.75/1.13 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.75/1.13 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.75/1.13 W ) ) ],
% 0.75/1.13 [ ssList( sk1 ) ],
% 0.75/1.13 [ ssList( sk2 ) ],
% 0.75/1.13 [ ssList( sk3 ) ],
% 0.75/1.13 [ ssList( sk4 ) ],
% 0.75/1.13 [ =( sk2, sk4 ) ],
% 0.75/1.13 [ =( sk1, sk3 ) ],
% 0.75/1.13 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), ~( ssList( Z ) ), ~( ssList( T ) )
% 0.75/1.13 , =( X, Y ), ~( =( app( app( app( Z, cons( X, nil ) ), cons( Y, nil ) ),
% 0.75/1.13 T ), sk3 ) ) ],
% 0.75/1.13 [ ssItem( sk5 ) ],
% 0.75/1.13 [ ssItem( sk6 ) ],
% 0.75/1.13 [ ssList( sk7 ) ],
% 0.75/1.13 [ ssList( sk8 ) ],
% 0.75/1.13 [ =( app( app( app( sk7, cons( sk5, nil ) ), cons( sk6, nil ) ), sk8 ),
% 0.75/1.13 sk1 ) ],
% 0.75/1.13 [ ~( =( sk5, sk6 ) ) ]
% 0.75/1.13 ] .
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 percentage equality = 0.165303, percentage horn = 0.846154
% 0.75/1.13 This is a problem with some equality
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Options Used:
% 0.75/1.13
% 0.75/1.13 useres = 1
% 0.75/1.13 useparamod = 1
% 0.75/1.13 useeqrefl = 1
% 0.75/1.13 useeqfact = 1
% 0.75/1.13 usefactor = 1
% 0.75/1.13 usesimpsplitting = 0
% 0.75/1.13 usesimpdemod = 5
% 0.75/1.13 usesimpres = 3
% 0.75/1.13
% 0.75/1.13 resimpinuse = 1000
% 0.75/1.13 resimpclauses = 20000
% 0.75/1.13 substype = eqrewr
% 0.75/1.13 backwardsubs = 1
% 0.75/1.13 selectoldest = 5
% 0.75/1.13
% 0.75/1.13 litorderings [0] = split
% 0.75/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.13
% 0.75/1.13 termordering = kbo
% 0.75/1.13
% 0.75/1.13 litapriori = 0
% 0.75/1.13 termapriori = 1
% 0.75/1.13 litaposteriori = 0
% 0.75/1.13 termaposteriori = 0
% 0.75/1.13 demodaposteriori = 0
% 0.75/1.13 ordereqreflfact = 0
% 0.75/1.13
% 0.75/1.13 litselect = negord
% 0.75/1.13
% 0.75/1.13 maxweight = 15
% 0.75/1.13 maxdepth = 30000
% 0.75/1.13 maxlength = 115
% 0.75/1.13 maxnrvars = 195
% 0.75/1.13 excuselevel = 1
% 0.75/1.13 increasemaxweight = 1
% 0.75/1.13
% 0.75/1.13 maxselected = 10000000
% 0.75/1.13 maxnrclauses = 10000000
% 0.75/1.13
% 0.75/1.13 showgenerated = 0
% 0.75/1.13 showkept = 0
% 0.75/1.13 showselected = 0
% 0.75/1.13 showdeleted = 0
% 0.75/1.13 showresimp = 1
% 0.75/1.13 showstatus = 2000
% 0.75/1.13
% 0.75/1.13 prologoutput = 1
% 0.75/1.13 nrgoals = 5000000
% 6.28/6.67 totalproof = 1
% 6.28/6.67
% 6.28/6.67 Symbols occurring in the translation:
% 6.28/6.67
% 6.28/6.67 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.28/6.67 . [1, 2] (w:1, o:83, a:1, s:1, b:0),
% 6.28/6.67 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 6.28/6.67 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.28/6.67 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.28/6.67 nil [39, 0] (w:1, o:19, a:1, s:1, b:0),
% 6.28/6.67 equalelemsP [40, 1] (w:1, o:37, a:1, s:1, b:0),
% 6.28/6.67 duplicatefreeP [41, 1] (w:1, o:36, a:1, s:1, b:0),
% 6.28/6.67 strictorderedP [42, 1] (w:1, o:40, a:1, s:1, b:0),
% 6.28/6.67 totalorderedP [43, 1] (w:1, o:79, a:1, s:1, b:0),
% 6.28/6.67 strictorderP [44, 1] (w:1, o:41, a:1, s:1, b:0),
% 6.28/6.67 totalorderP [45, 1] (w:1, o:80, a:1, s:1, b:0),
% 6.28/6.67 cyclefreeP [46, 1] (w:1, o:35, a:1, s:1, b:0),
% 6.28/6.67 ssList [47, 1] (w:1, o:38, a:1, s:1, b:0),
% 6.28/6.67 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 6.28/6.67 ssItem [49, 1] (w:1, o:39, a:1, s:1, b:0),
% 6.28/6.67 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 6.28/6.67 singletonP [51, 1] (w:1, o:42, a:1, s:1, b:0),
% 6.28/6.67 skaf83 [53, 1] (w:1, o:78, a:1, s:1, b:0),
% 6.28/6.67 skaf82 [54, 1] (w:1, o:77, a:1, s:1, b:0),
% 6.28/6.67 skaf81 [55, 1] (w:1, o:76, a:1, s:1, b:0),
% 6.28/6.67 skaf80 [56, 1] (w:1, o:75, a:1, s:1, b:0),
% 6.28/6.67 skaf79 [57, 1] (w:1, o:74, a:1, s:1, b:0),
% 6.28/6.67 skaf78 [58, 1] (w:1, o:73, a:1, s:1, b:0),
% 6.28/6.67 skaf77 [59, 1] (w:1, o:72, a:1, s:1, b:0),
% 6.28/6.67 skaf76 [60, 1] (w:1, o:71, a:1, s:1, b:0),
% 6.28/6.67 skaf75 [61, 1] (w:1, o:70, a:1, s:1, b:0),
% 6.28/6.67 skaf74 [62, 1] (w:1, o:69, a:1, s:1, b:0),
% 6.28/6.67 skaf73 [63, 1] (w:1, o:68, a:1, s:1, b:0),
% 6.28/6.67 skaf72 [64, 1] (w:1, o:67, a:1, s:1, b:0),
% 6.28/6.67 skaf71 [65, 1] (w:1, o:66, a:1, s:1, b:0),
% 6.28/6.67 skaf70 [66, 1] (w:1, o:65, a:1, s:1, b:0),
% 6.28/6.67 skaf69 [67, 1] (w:1, o:64, a:1, s:1, b:0),
% 6.28/6.67 skaf68 [68, 1] (w:1, o:63, a:1, s:1, b:0),
% 6.28/6.67 skaf67 [69, 1] (w:1, o:62, a:1, s:1, b:0),
% 6.28/6.67 skaf66 [70, 1] (w:1, o:61, a:1, s:1, b:0),
% 6.28/6.67 skaf65 [71, 1] (w:1, o:60, a:1, s:1, b:0),
% 6.28/6.67 skaf64 [72, 1] (w:1, o:59, a:1, s:1, b:0),
% 6.28/6.67 skaf63 [73, 1] (w:1, o:58, a:1, s:1, b:0),
% 6.28/6.67 skaf62 [74, 1] (w:1, o:57, a:1, s:1, b:0),
% 6.28/6.67 skaf61 [75, 1] (w:1, o:56, a:1, s:1, b:0),
% 6.28/6.67 skaf60 [76, 1] (w:1, o:55, a:1, s:1, b:0),
% 6.28/6.67 skaf59 [77, 1] (w:1, o:54, a:1, s:1, b:0),
% 6.28/6.67 skaf58 [78, 1] (w:1, o:53, a:1, s:1, b:0),
% 6.28/6.67 skaf57 [79, 1] (w:1, o:52, a:1, s:1, b:0),
% 6.28/6.67 skaf56 [80, 1] (w:1, o:51, a:1, s:1, b:0),
% 6.28/6.67 skaf55 [81, 1] (w:1, o:50, a:1, s:1, b:0),
% 6.28/6.67 skaf54 [82, 1] (w:1, o:49, a:1, s:1, b:0),
% 6.28/6.67 skaf53 [83, 1] (w:1, o:48, a:1, s:1, b:0),
% 6.28/6.67 skaf52 [84, 1] (w:1, o:47, a:1, s:1, b:0),
% 6.28/6.67 skaf51 [85, 1] (w:1, o:46, a:1, s:1, b:0),
% 6.28/6.67 skaf50 [86, 1] (w:1, o:45, a:1, s:1, b:0),
% 6.28/6.67 skaf49 [87, 1] (w:1, o:43, a:1, s:1, b:0),
% 6.28/6.67 skaf44 [88, 1] (w:1, o:44, a:1, s:1, b:0),
% 6.28/6.67 skaf48 [90, 2] (w:1, o:112, a:1, s:1, b:0),
% 6.28/6.67 skaf47 [91, 2] (w:1, o:111, a:1, s:1, b:0),
% 6.28/6.67 skaf46 [92, 2] (w:1, o:110, a:1, s:1, b:0),
% 6.28/6.67 skaf45 [93, 2] (w:1, o:109, a:1, s:1, b:0),
% 6.28/6.67 skaf43 [94, 2] (w:1, o:114, a:1, s:1, b:0),
% 6.28/6.67 skaf42 [95, 2] (w:1, o:113, a:1, s:1, b:0),
% 6.28/6.67 geq [96, 2] (w:1, o:116, a:1, s:1, b:0),
% 6.28/6.67 segmentP [97, 2] (w:1, o:117, a:1, s:1, b:0),
% 6.28/6.67 rearsegP [98, 2] (w:1, o:108, a:1, s:1, b:0),
% 6.28/6.67 frontsegP [99, 2] (w:1, o:115, a:1, s:1, b:0),
% 6.28/6.67 leq [100, 2] (w:1, o:118, a:1, s:1, b:0),
% 6.28/6.67 lt [101, 2] (w:1, o:119, a:1, s:1, b:0),
% 6.28/6.67 cons [102, 2] (w:1, o:120, a:1, s:1, b:0),
% 6.28/6.67 memberP [103, 2] (w:1, o:121, a:1, s:1, b:0),
% 6.28/6.67 app [104, 2] (w:1, o:122, a:1, s:1, b:0),
% 6.28/6.67 tl [105, 1] (w:1, o:81, a:1, s:1, b:0),
% 6.28/6.67 hd [106, 1] (w:1, o:82, a:1, s:1, b:0),
% 6.28/6.67 neq [107, 2] (w:1, o:123, a:1, s:1, b:0),
% 6.28/6.67 gt [108, 2] (w:1, o:124, a:1, s:1, b:0),
% 6.28/6.67 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 6.28/6.67 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 6.28/6.67 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.28/6.67 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 6.28/6.67 sk5 [121, 0] (w:1, o:11, a:1, s:1, b:0),
% 6.28/6.67 sk6 [122, 0] (w:1, o:12, a:1, s:1, b:0),
% 6.28/6.67 sk7 [123, 0] (w:1, o:13, a:1, s:1, b:0),
% 6.28/6.67 sk8 [124, 0] (w:1, o:14, a:1, s:1, b:0).
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Starting Search:
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 3972
% 6.28/6.67 Kept: 2000
% 6.28/6.67 Inuse: 205
% 6.28/6.67 Deleted: 2
% 6.28/6.67 Deletedinuse: 0
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 7281
% 6.28/6.67 Kept: 4003
% 6.28/6.67 Inuse: 286
% 6.28/6.67 Deleted: 2
% 6.28/6.67 Deletedinuse: 0
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 12120
% 6.28/6.67 Kept: 6123
% 6.28/6.67 Inuse: 329
% 6.28/6.67 Deleted: 2
% 6.28/6.67 Deletedinuse: 0
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 19748
% 6.28/6.67 Kept: 8845
% 6.28/6.67 Inuse: 389
% 6.28/6.67 Deleted: 2
% 6.28/6.67 Deletedinuse: 0
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 35102
% 6.28/6.67 Kept: 11045
% 6.28/6.67 Inuse: 429
% 6.28/6.67 Deleted: 4
% 6.28/6.67 Deletedinuse: 2
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 44072
% 6.28/6.67 Kept: 13102
% 6.28/6.67 Inuse: 479
% 6.28/6.67 Deleted: 4
% 6.28/6.67 Deletedinuse: 2
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 53309
% 6.28/6.67 Kept: 15205
% 6.28/6.67 Inuse: 529
% 6.28/6.67 Deleted: 5
% 6.28/6.67 Deletedinuse: 3
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 62042
% 6.28/6.67 Kept: 17244
% 6.28/6.67 Inuse: 560
% 6.28/6.67 Deleted: 5
% 6.28/6.67 Deletedinuse: 3
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 72264
% 6.28/6.67 Kept: 19256
% 6.28/6.67 Inuse: 587
% 6.28/6.67 Deleted: 7
% 6.28/6.67 Deletedinuse: 5
% 6.28/6.67
% 6.28/6.67 Resimplifying clauses:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 78972
% 6.28/6.67 Kept: 21323
% 6.28/6.67 Inuse: 614
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 92609
% 6.28/6.67 Kept: 23611
% 6.28/6.67 Inuse: 639
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 105429
% 6.28/6.67 Kept: 25851
% 6.28/6.67 Inuse: 664
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 126158
% 6.28/6.67 Kept: 27948
% 6.28/6.67 Inuse: 684
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 142015
% 6.28/6.67 Kept: 29986
% 6.28/6.67 Inuse: 713
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 153956
% 6.28/6.67 Kept: 31997
% 6.28/6.67 Inuse: 778
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 164466
% 6.28/6.67 Kept: 34011
% 6.28/6.67 Inuse: 820
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 189751
% 6.28/6.67 Kept: 36050
% 6.28/6.67 Inuse: 866
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 199960
% 6.28/6.67 Kept: 38077
% 6.28/6.67 Inuse: 908
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67 Resimplifying inuse:
% 6.28/6.67 Done
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 Intermediate Status:
% 6.28/6.67 Generated: 212653
% 6.28/6.67 Kept: 40110
% 6.28/6.67 Inuse: 968
% 6.28/6.67 Deleted: 960
% 6.28/6.67 Deletedinuse: 14
% 6.28/6.67
% 6.28/6.67 Resimplifying clauses:
% 6.28/6.67
% 6.28/6.67 Bliksems!, er is een bewijs:
% 6.28/6.67 % SZS status Unsatisfiable
% 6.28/6.67 % SZS output start Refutation
% 6.28/6.67
% 6.28/6.67 clause( 187, [ =( sk3, sk1 ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 188, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), ~( ssList( Z ) ), ~(
% 6.28/6.67 ssList( T ) ), =( X, Y ), ~( =( app( app( app( Z, cons( X, nil ) ), cons(
% 6.28/6.67 Y, nil ) ), T ), sk1 ) ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 189, [ ssItem( sk5 ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 190, [ ssItem( sk6 ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 191, [ ssList( sk7 ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 192, [ ssList( sk8 ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 193, [ =( app( app( app( sk7, cons( sk5, nil ) ), cons( sk6, nil )
% 6.28/6.67 ), sk8 ), sk1 ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 194, [ ~( =( sk6, sk5 ) ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 29351, [ ~( ssItem( sk6 ) ), ~( ssList( sk7 ) ), ~( ssList( sk8 ) )
% 6.28/6.67 , =( sk6, sk5 ) ] )
% 6.28/6.67 .
% 6.28/6.67 clause( 40924, [] )
% 6.28/6.67 .
% 6.28/6.67
% 6.28/6.67
% 6.28/6.67 % SZS output end Refutation
% 6.28/6.67 found a proof!
% 6.28/6.67
% 6.28/6.67 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.28/6.67
% 6.28/6.67 initialclauses(
% 6.28/6.67 [ clause( 40926, [ equalelemsP( nil ) ] )
% 6.28/6.67 , clause( 40927, [ duplicatefreeP( nil ) ] )
% 6.28/6.67 , clause( 40928, [ strictorderedP( nil ) ] )
% 6.28/6.67 , clause( 40929, [ totalorderedP( nil ) ] )
% 6.28/6.67 , clause( 40930, [ strictorderP( nil ) ] )
% 6.28/6.67 , clause( 40931, [ totalorderP( nil ) ] )
% 6.28/6.67 , clause( 40932, [ cyclefreeP( nil ) ] )
% 6.28/6.67 , clause( 40933, [ ssList( nil ) ] )
% 6.28/6.67 , clause( 40934, [ ssItem( skac3 ) ] )
% 6.28/6.67 , clause( 40935, [ ssItem( skac2 ) ] )
% 6.28/6.67 , clause( 40936, [ ~( singletonP( nil ) ) ] )
% 6.28/6.67 , clause( 40937, [ ssItem( skaf83( X ) ) ] )
% 6.28/6.67 , clause( 40938, [ ssList( skaf82( X ) ) ] )
% 6.28/6.67 , clause( 40939, [ ssList( skaf81( X ) ) ] )
% 6.28/6.67 , clause( 40940, [ ssList( skaf80( X ) ) ] )
% 6.28/6.67 , clause( 40941, [ ssItem( skaf79( X ) ) ] )
% 6.28/6.67 , clause( 40942, [ ssItem( skaf78( X ) ) ] )
% 6.28/6.67 , clause( 40943, [ ssList( skaf77( X ) ) ] )
% 6.28/6.67 , clause( 40944, [ ssList( skaf76( X ) ) ] )
% 6.28/6.67 , clause( 40945, [ ssList( skaf75( X ) ) ] )
% 6.28/6.67 , clause( 40946, [ ssItem( skaf74( X ) ) ] )
% 6.28/6.67 , clause( 40947, [ ssList( skaf73( X ) ) ] )
% 6.28/6.67 , clause( 40948, [ ssList( skaf72( X ) ) ] )
% 6.28/6.67 , clause( 40949, [ ssList( skaf71( X ) ) ] )
% 6.28/6.67 , clause( 40950, [ ssItem( skaf70( X ) ) ] )
% 6.28/6.67 , clause( 40951, [ ssItem( skaf69( X ) ) ] )
% 6.28/6.67 , clause( 40952, [ ssList( skaf68( X ) ) ] )
% 6.28/6.67 , clause( 40953, [ ssList( skaf67( X ) ) ] )
% 6.28/6.67 , clause( 40954, [ ssList( skaf66( X ) ) ] )
% 6.28/6.67 , clause( 40955, [ ssItem( skaf65( X ) ) ] )
% 6.28/6.67 , clause( 40956, [ ssItem( skaf64( X ) ) ] )
% 6.28/6.67 , clause( 40957, [ ssList( skaf63( X ) ) ] )
% 6.28/6.67 , clause( 40958, [ ssList( skaf62( X ) ) ] )
% 6.28/6.67 , clause( 40959, [ ssList( skaf61( X ) ) ] )
% 6.28/6.67 , clause( 40960, [ ssItem( skaf60( X ) ) ] )
% 6.28/6.67 , clause( 40961, [ ssItem( skaf59( X ) ) ] )
% 6.28/6.67 , clause( 40962, [ ssList( skaf58( X ) ) ] )
% 6.28/6.67 , clause( 40963, [ ssList( skaf57( X ) ) ] )
% 6.28/6.67 , clause( 40964, [ ssList( skaf56( X ) ) ] )
% 6.28/6.67 , clause( 40965, [ ssItem( skaf55( X ) ) ] )
% 6.28/6.67 , clause( 40966, [ ssItem( skaf54( X ) ) ] )
% 6.28/6.67 , clause( 40967, [ ssList( skaf53( X ) ) ] )
% 6.28/6.67 , clause( 40968, [ ssList( skaf52( X ) ) ] )
% 6.28/6.67 , clause( 40969, [ ssList( skaf51( X ) ) ] )
% 6.28/6.67 , clause( 40970, [ ssItem( skaf50( X ) ) ] )
% 6.28/6.67 , clause( 40971, [ ssItem( skaf49( X ) ) ] )
% 6.28/6.67 , clause( 40972, [ ssItem( skaf44( X ) ) ] )
% 6.28/6.67 , clause( 40973, [ ssList( skaf48( X, Y ) ) ] )
% 6.28/6.67 , clause( 40974, [ ssList( skaf47( X, Y ) ) ] )
% 6.28/6.67 , clause( 40975, [ ssList( skaf46( X, Y ) ) ] )
% 6.28/6.67 , clause( 40976, [ ssList( skaf45( X, Y ) ) ] )
% 6.28/6.67 , clause( 40977, [ ssList( skaf43( X, Y ) ) ] )
% 6.28/6.67 , clause( 40978, [ ssList( skaf42( X, Y ) ) ] )
% 6.28/6.67 , clause( 40979, [ ~( =( skac3, skac2 ) ) ] )
% 6.28/6.67 , clause( 40980, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 6.28/6.67 , clause( 40981, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 6.28/6.67 , clause( 40982, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 6.28/6.67 , clause( 40983, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 6.28/6.67 , clause( 40984, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 6.28/6.67 , clause( 40985, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 6.28/6.67 , clause( 40986, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 6.28/6.67 , clause( 40987, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 6.28/6.67 , clause( 40988, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 6.28/6.67 , clause( 40989, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 6.28/6.67 , clause( 40990, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 6.28/6.67 , clause( 40991, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 6.28/6.67 , clause( 40992, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 6.28/6.67 , clause( 40993, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 6.28/6.67 , clause( 40994, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 6.28/6.67 , clause( 40995, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 6.28/6.67 , clause( 40996, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 6.28/6.67 , clause( 40997, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 6.28/6.67 , clause( 40998, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 6.28/6.67 , clause( 40999, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 6.28/6.67 , clause( 41000, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 6.28/6.67 , clause( 41001, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 6.28/6.67 , clause( 41002, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 6.28/6.67 , clause( 41003, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 6.28/6.67 , clause( 41004, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 6.28/6.67 )
% 6.28/6.67 , clause( 41005, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 6.28/6.67 )
% 6.28/6.67 , clause( 41006, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 6.28/6.67 )
% 6.28/6.67 , clause( 41007, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 6.28/6.67 )
% 6.28/6.67 , clause( 41008, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 6.28/6.67 ] )
% 6.28/6.67 , clause( 41009, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 6.28/6.67 ] )
% 6.28/6.67 , clause( 41010, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 6.28/6.67 ) ] )
% 6.28/6.67 , clause( 41011, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 6.28/6.67 ) ] )
% 6.28/6.67 , clause( 41012, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 6.28/6.67 skaf49( X ) ) ] )
% 6.28/6.67 , clause( 41013, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 6.28/6.67 skaf50( X ) ) ] )
% 6.28/6.67 , clause( 41014, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 6.28/6.67 equalelemsP( X ) ] )
% 6.28/6.67 , clause( 41015, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 6.28/6.67 strictorderedP( X ) ] )
% 6.28/6.67 , clause( 41016, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 6.28/6.67 totalorderedP( X ) ] )
% 6.28/6.67 , clause( 41017, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 6.28/6.67 strictorderP( X ) ] )
% 6.28/6.67 , clause( 41018, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 6.28/6.67 strictorderP( X ) ] )
% 6.28/6.67 , clause( 41019, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 6.28/6.67 totalorderP( X ) ] )
% 6.28/6.67 , clause( 41020, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 6.28/6.67 totalorderP( X ) ] )
% 6.28/6.67 , clause( 41021, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 6.28/6.67 ), Y ) ] )
% 6.28/6.67 , clause( 41022, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 6.28/6.67 ), X ) ] )
% 6.28/6.67 , clause( 41023, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 6.28/6.67 Y ) ) ] )
% 6.28/6.67 , clause( 41024, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 6.28/6.67 Y ) ) ] )
% 6.28/6.67 , clause( 41025, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 6.28/6.67 ) ] )
% 6.28/6.67 , clause( 41026, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 6.28/6.67 X ), nil ), X ) ] )
% 6.28/6.67 , clause( 41027, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 6.28/6.67 ) ] )
% 6.28/6.67 , clause( 41028, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 6.28/6.67 X, Y ) ] )
% 6.28/6.67 , clause( 41029, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 6.28/6.67 nil, X ) ] )
% 6.28/6.67 , clause( 41030, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 6.28/6.67 Y, X ) ] )
% 6.28/6.67 , clause( 41031, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 6.28/6.67 Y, X ) ] )
% 6.28/6.67 , clause( 41032, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 6.28/6.67 leq( Y, X ) ] )
% 6.28/6.67 , clause( 41033, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 6.28/6.67 geq( Y, X ) ] )
% 6.28/6.67 , clause( 41034, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 6.28/6.67 ), =( nil, X ) ] )
% 6.28/6.67 , clause( 41035, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 6.28/6.67 ssItem( Y ) ) ] )
% 6.28/6.67 , clause( 41036, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 6.28/6.67 ssItem( X ) ) ] )
% 6.28/6.67 , clause( 41037, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 6.28/6.67 strictorderedP( cons( Y, X ) ) ] )
% 6.28/6.67 , clause( 41038, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 6.28/6.67 totalorderedP( cons( Y, X ) ) ] )
% 6.28/6.67 , clause( 41039, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 6.28/6.67 ssItem( Y ) ) ] )
% 6.28/6.67 , clause( 41040, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 6.28/6.67 ssList( X ) ) ] )
% 6.28/6.67 , clause( 41041, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 6.28/6.67 Y ) ), singletonP( Y ) ] )
% 6.28/6.67 , clause( 41042, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 6.28/6.67 ssItem( X ) ) ] )
% 6.28/6.67 , clause( 41043, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 6.28/6.67 X ) ), =( nil, X ) ] )
% 6.28/6.67 , clause( 41044, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 6.28/6.67 X ) ), =( nil, Y ) ] )
% 6.28/6.67 , clause( 41045, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 6.28/6.67 ), Y ), cons( X, Y ) ) ] )
% 6.28/6.67 , clause( 41046, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 6.28/6.67 X, Y ), =( X, Y ) ] )
% 6.28/6.67 , clause( 41047, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 6.28/6.67 X, Y ), =( X, Y ) ] )
% 6.28/6.67 , clause( 41048, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 6.28/6.67 app( Y, X ) ), hd( Y ) ) ] )
% 6.28/6.67 , clause( 41049, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 6.28/6.67 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 6.28/6.67 , clause( 41050, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 6.28/6.67 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 6.28/6.67 , clause( 41051, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 6.28/6.67 ~( ssItem( Y ) ), =( Y, X ) ] )
% 6.28/6.67 , clause( 41052, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 6.28/6.67 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 6.28/6.67 , clause( 41053, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 6.28/6.67 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 6.28/6.67 , clause( 41054, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 6.28/6.67 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 6.28/6.67 , clause( 41055, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 6.28/6.67 ~( ssItem( Y ) ), =( Y, X ) ] )
% 6.28/6.67 , clause( 41056, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 6.28/6.67 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 6.28/6.67 , clause( 41057, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 6.28/6.67 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 6.28/6.67 , clause( 41058, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 6.28/6.67 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 6.28/6.67 , clause( 41059, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 6.28/6.67 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 6.28/6.67 , clause( 41060, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 6.28/6.67 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 6.28/6.67 , clause( 41061, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 6.28/6.67 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 6.28/6.67 , clause( 41062, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 6.28/6.67 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 6.28/6.67 , clause( 41063, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 6.28/6.67 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 6.28/6.67 , clause( 41064, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 6.28/6.67 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 6.28/6.67 , clause( 41065, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 6.28/6.67 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 6.28/6.67 , clause( 41066, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 6.28/6.67 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 6.28/6.67 , clause( 41067, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 6.28/6.67 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 6.28/6.67 , clause( 41068, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 6.28/6.67 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 6.28/6.67 , clause( 41069, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 6.28/6.67 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 6.28/6.67 , clause( 41070, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 6.28/6.67 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 6.28/6.67 , clause( 41071, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 6.28/6.67 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 6.28/6.67 , clause( 41072, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 6.28/6.67 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 6.28/6.67 , clause( 41073, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 6.28/6.67 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 6.28/6.67 , clause( 41074, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 6.28/6.67 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 6.28/6.67 , clause( 41075, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 6.28/6.67 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 6.28/6.67 , clause( 41076, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 6.28/6.67 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 6.28/6.67 , clause( 41077, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 6.28/6.67 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 6.28/6.67 , clause( 41078, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 6.28/6.67 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 6.28/6.67 , clause( 41079, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 6.28/6.67 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 6.28/6.67 , clause( 41080, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 6.28/6.67 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 6.28/6.67 , clause( 41081, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 6.28/6.67 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 6.28/6.67 , clause( 41082, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 6.28/6.67 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 6.28/6.67 , clause( 41083, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 6.28/6.67 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 6.28/6.67 , clause( 41084, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 6.28/6.67 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 6.28/6.67 ) ] )
% 6.28/6.67 , clause( 41085, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 6.28/6.67 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 6.28/6.67 Y ) ] )
% 6.28/6.67 , clause( 41086, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 6.28/6.67 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 6.28/6.67 , clause( 41087, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 6.28/6.67 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 6.28/6.67 skaf77( X ) ) ), X ) ] )
% 6.28/6.67 , clause( 41088, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 6.28/6.67 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 6.28/6.67 skaf73( X ) ) ), X ) ] )
% 6.28/6.67 , clause( 41089, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 6.28/6.67 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 6.28/6.67 skaf68( X ) ) ), X ) ] )
% 6.28/6.67 , clause( 41090, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 6.28/6.67 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 6.28/6.67 ), X ) ] )
% 6.28/6.67 , clause( 41091, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 6.28/6.67 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 6.28/6.67 ), X ) ] )
% 6.28/6.67 , clause( 41092, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 6.28/6.67 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 6.28/6.67 ), X ) ] )
% 6.28/6.67 , clause( 41093, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 6.28/6.67 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 6.28/6.67 , clause( 41094, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 6.28/6.67 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 6.28/6.67 , clause( 41095, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 6.28/6.67 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 6.28/6.67 , clause( 41096, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 6.28/6.67 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 6.28/6.67 , clause( 41097, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 6.28/6.67 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 6.28/6.67 Y ) ] )
% 6.28/6.67 , clause( 41098, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 6.28/6.67 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 6.28/6.67 )
% 6.28/6.67 , clause( 41099, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 6.28/6.67 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 6.28/6.67 , T ) ] )
% 6.28/6.67 , clause( 41100, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 6.28/6.67 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 6.28/6.67 )
% 6.28/6.67 , clause( 41101, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 6.28/6.67 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 6.28/6.67 )
% 6.28/6.67 , clause( 41102, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 6.28/6.67 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 6.28/6.67 )
% 6.28/6.67 , clause( 41103, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 6.28/6.67 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 6.28/6.67 Z, X ), cons( T, Y ) ) ] )
% 6.28/6.67 , clause( 41104, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 6.28/6.67 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 6.28/6.67 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 6.28/6.67 , clause( 41105, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 6.28/6.67 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 6.28/6.67 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 6.28/6.67 , clause( 41106, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 6.28/6.67 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 6.28/6.67 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 6.28/6.67 ) ] )
% 6.28/6.67 , clause( 41107, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 6.35/6.71 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 6.35/6.71 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 6.35/6.71 ) ] )
% 6.35/6.71 , clause( 41108, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 6.35/6.71 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 6.35/6.71 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 6.35/6.71 , lt( T, Y ) ] )
% 6.35/6.71 , clause( 41109, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 6.35/6.71 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 6.35/6.71 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 6.35/6.71 , leq( T, Y ) ] )
% 6.35/6.71 , clause( 41110, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 6.35/6.71 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 6.35/6.71 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 6.35/6.71 ) ), ~( ssList( W ) ) ] )
% 6.35/6.71 , clause( 41111, [ ssList( sk1 ) ] )
% 6.35/6.71 , clause( 41112, [ ssList( sk2 ) ] )
% 6.35/6.71 , clause( 41113, [ ssList( sk3 ) ] )
% 6.35/6.71 , clause( 41114, [ ssList( sk4 ) ] )
% 6.35/6.71 , clause( 41115, [ =( sk2, sk4 ) ] )
% 6.35/6.71 , clause( 41116, [ =( sk1, sk3 ) ] )
% 6.35/6.71 , clause( 41117, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), ~( ssList( Z ) ),
% 6.35/6.71 ~( ssList( T ) ), =( X, Y ), ~( =( app( app( app( Z, cons( X, nil ) ),
% 6.35/6.71 cons( Y, nil ) ), T ), sk3 ) ) ] )
% 6.35/6.71 , clause( 41118, [ ssItem( sk5 ) ] )
% 6.35/6.71 , clause( 41119, [ ssItem( sk6 ) ] )
% 6.35/6.71 , clause( 41120, [ ssList( sk7 ) ] )
% 6.35/6.71 , clause( 41121, [ ssList( sk8 ) ] )
% 6.35/6.71 , clause( 41122, [ =( app( app( app( sk7, cons( sk5, nil ) ), cons( sk6,
% 6.35/6.71 nil ) ), sk8 ), sk1 ) ] )
% 6.35/6.71 , clause( 41123, [ ~( =( sk5, sk6 ) ) ] )
% 6.35/6.71 ] ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 eqswap(
% 6.35/6.71 clause( 41882, [ =( sk3, sk1 ) ] )
% 6.35/6.71 , clause( 41116, [ =( sk1, sk3 ) ] )
% 6.35/6.71 , 0, substitution( 0, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 187, [ =( sk3, sk1 ) ] )
% 6.35/6.71 , clause( 41882, [ =( sk3, sk1 ) ] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 paramod(
% 6.35/6.71 clause( 42860, [ ~( =( app( app( app( X, cons( Y, nil ) ), cons( Z, nil ) )
% 6.35/6.71 , T ), sk1 ) ), ~( ssItem( Y ) ), ~( ssItem( Z ) ), ~( ssList( X ) ), ~(
% 6.35/6.71 ssList( T ) ), =( Y, Z ) ] )
% 6.35/6.71 , clause( 187, [ =( sk3, sk1 ) ] )
% 6.35/6.71 , 0, clause( 41117, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), ~( ssList( Z ) )
% 6.35/6.71 , ~( ssList( T ) ), =( X, Y ), ~( =( app( app( app( Z, cons( X, nil ) ),
% 6.35/6.71 cons( Y, nil ) ), T ), sk3 ) ) ] )
% 6.35/6.71 , 5, 13, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ),
% 6.35/6.71 :=( Z, X ), :=( T, T )] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 188, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), ~( ssList( Z ) ), ~(
% 6.35/6.71 ssList( T ) ), =( X, Y ), ~( =( app( app( app( Z, cons( X, nil ) ), cons(
% 6.35/6.71 Y, nil ) ), T ), sk1 ) ) ] )
% 6.35/6.71 , clause( 42860, [ ~( =( app( app( app( X, cons( Y, nil ) ), cons( Z, nil )
% 6.35/6.71 ), T ), sk1 ) ), ~( ssItem( Y ) ), ~( ssItem( Z ) ), ~( ssList( X ) ),
% 6.35/6.71 ~( ssList( T ) ), =( Y, Z ) ] )
% 6.35/6.71 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 6.35/6.71 permutation( 0, [ ==>( 0, 5 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 6.35/6.71 ==>( 4, 3 ), ==>( 5, 4 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 189, [ ssItem( sk5 ) ] )
% 6.35/6.71 , clause( 41118, [ ssItem( sk5 ) ] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 190, [ ssItem( sk6 ) ] )
% 6.35/6.71 , clause( 41119, [ ssItem( sk6 ) ] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 191, [ ssList( sk7 ) ] )
% 6.35/6.71 , clause( 41120, [ ssList( sk7 ) ] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 192, [ ssList( sk8 ) ] )
% 6.35/6.71 , clause( 41121, [ ssList( sk8 ) ] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 193, [ =( app( app( app( sk7, cons( sk5, nil ) ), cons( sk6, nil )
% 6.35/6.71 ), sk8 ), sk1 ) ] )
% 6.35/6.71 , clause( 41122, [ =( app( app( app( sk7, cons( sk5, nil ) ), cons( sk6,
% 6.35/6.71 nil ) ), sk8 ), sk1 ) ] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 eqswap(
% 6.35/6.71 clause( 47494, [ ~( =( sk6, sk5 ) ) ] )
% 6.35/6.71 , clause( 41123, [ ~( =( sk5, sk6 ) ) ] )
% 6.35/6.71 , 0, substitution( 0, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 194, [ ~( =( sk6, sk5 ) ) ] )
% 6.35/6.71 , clause( 47494, [ ~( =( sk6, sk5 ) ) ] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 eqswap(
% 6.35/6.71 clause( 47495, [ =( sk1, app( app( app( sk7, cons( sk5, nil ) ), cons( sk6
% 6.35/6.71 , nil ) ), sk8 ) ) ] )
% 6.35/6.71 , clause( 193, [ =( app( app( app( sk7, cons( sk5, nil ) ), cons( sk6, nil
% 6.35/6.71 ) ), sk8 ), sk1 ) ] )
% 6.35/6.71 , 0, substitution( 0, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 eqswap(
% 6.35/6.71 clause( 47497, [ ~( =( sk1, app( app( app( X, cons( Y, nil ) ), cons( Z,
% 6.35/6.71 nil ) ), T ) ) ), ~( ssItem( Y ) ), ~( ssItem( Z ) ), ~( ssList( X ) ),
% 6.35/6.71 ~( ssList( T ) ), =( Y, Z ) ] )
% 6.35/6.71 , clause( 188, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), ~( ssList( Z ) ), ~(
% 6.35/6.71 ssList( T ) ), =( X, Y ), ~( =( app( app( app( Z, cons( X, nil ) ), cons(
% 6.35/6.71 Y, nil ) ), T ), sk1 ) ) ] )
% 6.35/6.71 , 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] )
% 6.35/6.71 ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 eqswap(
% 6.35/6.71 clause( 47498, [ =( Y, X ), ~( =( sk1, app( app( app( Z, cons( X, nil ) ),
% 6.35/6.71 cons( Y, nil ) ), T ) ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), ~( ssList(
% 6.35/6.71 Z ) ), ~( ssList( T ) ) ] )
% 6.35/6.71 , clause( 47497, [ ~( =( sk1, app( app( app( X, cons( Y, nil ) ), cons( Z,
% 6.35/6.71 nil ) ), T ) ) ), ~( ssItem( Y ) ), ~( ssItem( Z ) ), ~( ssList( X ) ),
% 6.35/6.71 ~( ssList( T ) ), =( Y, Z ) ] )
% 6.35/6.71 , 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 6.35/6.71 ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 resolution(
% 6.35/6.71 clause( 47499, [ =( sk6, sk5 ), ~( ssItem( sk5 ) ), ~( ssItem( sk6 ) ), ~(
% 6.35/6.71 ssList( sk7 ) ), ~( ssList( sk8 ) ) ] )
% 6.35/6.71 , clause( 47498, [ =( Y, X ), ~( =( sk1, app( app( app( Z, cons( X, nil ) )
% 6.35/6.71 , cons( Y, nil ) ), T ) ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), ~(
% 6.35/6.71 ssList( Z ) ), ~( ssList( T ) ) ] )
% 6.35/6.71 , 1, clause( 47495, [ =( sk1, app( app( app( sk7, cons( sk5, nil ) ), cons(
% 6.35/6.71 sk6, nil ) ), sk8 ) ) ] )
% 6.35/6.71 , 0, substitution( 0, [ :=( X, sk5 ), :=( Y, sk6 ), :=( Z, sk7 ), :=( T,
% 6.35/6.71 sk8 )] ), substitution( 1, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 resolution(
% 6.35/6.71 clause( 47500, [ =( sk6, sk5 ), ~( ssItem( sk6 ) ), ~( ssList( sk7 ) ), ~(
% 6.35/6.71 ssList( sk8 ) ) ] )
% 6.35/6.71 , clause( 47499, [ =( sk6, sk5 ), ~( ssItem( sk5 ) ), ~( ssItem( sk6 ) ),
% 6.35/6.71 ~( ssList( sk7 ) ), ~( ssList( sk8 ) ) ] )
% 6.35/6.71 , 1, clause( 189, [ ssItem( sk5 ) ] )
% 6.35/6.71 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 29351, [ ~( ssItem( sk6 ) ), ~( ssList( sk7 ) ), ~( ssList( sk8 ) )
% 6.35/6.71 , =( sk6, sk5 ) ] )
% 6.35/6.71 , clause( 47500, [ =( sk6, sk5 ), ~( ssItem( sk6 ) ), ~( ssList( sk7 ) ),
% 6.35/6.71 ~( ssList( sk8 ) ) ] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 6.35/6.71 , 1 ), ==>( 3, 2 )] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 resolution(
% 6.35/6.71 clause( 47504, [ ~( ssList( sk7 ) ), ~( ssList( sk8 ) ), =( sk6, sk5 ) ] )
% 6.35/6.71 , clause( 29351, [ ~( ssItem( sk6 ) ), ~( ssList( sk7 ) ), ~( ssList( sk8 )
% 6.35/6.71 ), =( sk6, sk5 ) ] )
% 6.35/6.71 , 0, clause( 190, [ ssItem( sk6 ) ] )
% 6.35/6.71 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 resolution(
% 6.35/6.71 clause( 47505, [ ~( ssList( sk8 ) ), =( sk6, sk5 ) ] )
% 6.35/6.71 , clause( 47504, [ ~( ssList( sk7 ) ), ~( ssList( sk8 ) ), =( sk6, sk5 ) ]
% 6.35/6.71 )
% 6.35/6.71 , 0, clause( 191, [ ssList( sk7 ) ] )
% 6.35/6.71 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 resolution(
% 6.35/6.71 clause( 47506, [ =( sk6, sk5 ) ] )
% 6.35/6.71 , clause( 47505, [ ~( ssList( sk8 ) ), =( sk6, sk5 ) ] )
% 6.35/6.71 , 0, clause( 192, [ ssList( sk8 ) ] )
% 6.35/6.71 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 resolution(
% 6.35/6.71 clause( 47507, [] )
% 6.35/6.71 , clause( 194, [ ~( =( sk6, sk5 ) ) ] )
% 6.35/6.71 , 0, clause( 47506, [ =( sk6, sk5 ) ] )
% 6.35/6.71 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 subsumption(
% 6.35/6.71 clause( 40924, [] )
% 6.35/6.71 , clause( 47507, [] )
% 6.35/6.71 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 end.
% 6.35/6.71
% 6.35/6.71 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.35/6.71
% 6.35/6.71 Memory use:
% 6.35/6.71
% 6.35/6.71 space for terms: 758535
% 6.35/6.71 space for clauses: 1868324
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 clauses generated: 213730
% 6.35/6.71 clauses kept: 40925
% 6.35/6.71 clauses selected: 969
% 6.35/6.71 clauses deleted: 2551
% 6.35/6.71 clauses inuse deleted: 14
% 6.35/6.71
% 6.35/6.71 subsentry: 487407
% 6.35/6.71 literals s-matched: 254483
% 6.35/6.71 literals matched: 186459
% 6.35/6.71 full subsumption: 97324
% 6.35/6.71
% 6.35/6.71 checksum: -1348041283
% 6.35/6.71
% 6.35/6.71
% 6.35/6.71 Bliksem ended
%------------------------------------------------------------------------------