%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC339-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 19:36:01 EDT 2022
% Result : Unsatisfiable 6.04s 6.47s
% Output : Refutation 6.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC339-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 05:04:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09 [
% 0.70/1.09 [ equalelemsP( nil ) ],
% 0.70/1.09 [ duplicatefreeP( nil ) ],
% 0.70/1.09 [ strictorderedP( nil ) ],
% 0.70/1.09 [ totalorderedP( nil ) ],
% 0.70/1.09 [ strictorderP( nil ) ],
% 0.70/1.09 [ totalorderP( nil ) ],
% 0.70/1.09 [ cyclefreeP( nil ) ],
% 0.70/1.09 [ ssList( nil ) ],
% 0.70/1.09 [ ssItem( skac3 ) ],
% 0.70/1.09 [ ssItem( skac2 ) ],
% 0.70/1.09 [ ~( singletonP( nil ) ) ],
% 0.70/1.09 [ ssItem( skaf83( X ) ) ],
% 0.70/1.09 [ ssList( skaf82( X ) ) ],
% 0.70/1.09 [ ssList( skaf81( X ) ) ],
% 0.70/1.09 [ ssList( skaf80( X ) ) ],
% 0.70/1.09 [ ssItem( skaf79( X ) ) ],
% 0.70/1.09 [ ssItem( skaf78( X ) ) ],
% 0.70/1.09 [ ssList( skaf77( X ) ) ],
% 0.70/1.09 [ ssList( skaf76( X ) ) ],
% 0.70/1.09 [ ssList( skaf75( X ) ) ],
% 0.70/1.09 [ ssItem( skaf74( X ) ) ],
% 0.70/1.09 [ ssList( skaf73( X ) ) ],
% 0.70/1.09 [ ssList( skaf72( X ) ) ],
% 0.70/1.09 [ ssList( skaf71( X ) ) ],
% 0.70/1.09 [ ssItem( skaf70( X ) ) ],
% 0.70/1.09 [ ssItem( skaf69( X ) ) ],
% 0.70/1.09 [ ssList( skaf68( X ) ) ],
% 0.70/1.09 [ ssList( skaf67( X ) ) ],
% 0.70/1.09 [ ssList( skaf66( X ) ) ],
% 0.70/1.09 [ ssItem( skaf65( X ) ) ],
% 0.70/1.09 [ ssItem( skaf64( X ) ) ],
% 0.70/1.09 [ ssList( skaf63( X ) ) ],
% 0.70/1.09 [ ssList( skaf62( X ) ) ],
% 0.70/1.09 [ ssList( skaf61( X ) ) ],
% 0.70/1.09 [ ssItem( skaf60( X ) ) ],
% 0.70/1.09 [ ssItem( skaf59( X ) ) ],
% 0.70/1.09 [ ssList( skaf58( X ) ) ],
% 0.70/1.09 [ ssList( skaf57( X ) ) ],
% 0.70/1.09 [ ssList( skaf56( X ) ) ],
% 0.70/1.09 [ ssItem( skaf55( X ) ) ],
% 0.70/1.09 [ ssItem( skaf54( X ) ) ],
% 0.70/1.09 [ ssList( skaf53( X ) ) ],
% 0.70/1.09 [ ssList( skaf52( X ) ) ],
% 0.70/1.09 [ ssList( skaf51( X ) ) ],
% 0.70/1.09 [ ssItem( skaf50( X ) ) ],
% 0.70/1.09 [ ssItem( skaf49( X ) ) ],
% 0.70/1.09 [ ssItem( skaf44( X ) ) ],
% 0.70/1.09 [ ssList( skaf48( X, Y ) ) ],
% 0.70/1.09 [ ssList( skaf47( X, Y ) ) ],
% 0.70/1.09 [ ssList( skaf46( X, Y ) ) ],
% 0.70/1.09 [ ssList( skaf45( X, Y ) ) ],
% 0.70/1.09 [ ssList( skaf43( X, Y ) ) ],
% 0.70/1.09 [ ssList( skaf42( X, Y ) ) ],
% 0.70/1.09 [ ~( =( skac3, skac2 ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.70/1.09 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.70/1.09 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.70/1.09 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.70/1.09 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.70/1.09 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.70/1.09 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.70/1.09 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.70/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.70/1.09 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.70/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.70/1.09 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.70/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.70/1.09 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.70/1.09 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.70/1.09 ],
% 0.70/1.09 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.70/1.09 X ) ],
% 0.70/1.09 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.70/1.09 X ) ],
% 0.70/1.09 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.70/1.09 ) ],
% 0.70/1.09 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.70/1.09 ) ],
% 0.70/1.09 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.70/1.09 ) ],
% 0.70/1.09 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.70/1.09 ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.70/1.09 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.70/1.09 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.70/1.09 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.70/1.09 ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.70/1.09 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.70/1.09 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.70/1.09 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.70/1.09 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.70/1.09 ) ],
% 0.70/1.09 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.70/1.09 cons( Y, X ) ) ],
% 0.70/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.70/1.09 cons( Y, X ) ) ],
% 0.70/1.09 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.70/1.09 singletonP( Y ) ],
% 0.70/1.09 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.70/1.09 , X ) ],
% 0.70/1.09 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.70/1.09 , Y ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.70/1.09 X, Y ) ) ],
% 0.70/1.09 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.70/1.09 , Y ) ],
% 0.70/1.09 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.70/1.09 , Y ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.70/1.09 , hd( Y ) ) ],
% 0.70/1.09 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.70/1.09 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.70/1.09 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.70/1.09 , totalorderedP( Y ), =( nil, Y ) ],
% 0.70/1.09 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.70/1.09 , =( Y, X ) ],
% 0.70/1.09 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.70/1.09 ssList( Y ) ), =( Y, X ) ],
% 0.70/1.09 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.70/1.09 ssList( Y ) ), =( Y, X ) ],
% 0.70/1.09 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.70/1.09 ssList( Y ) ), =( Y, X ) ],
% 0.70/1.09 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.70/1.09 , =( Y, X ) ],
% 0.70/1.09 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.70/1.09 skaf46( X, Y ), Y ), X ) ],
% 0.70/1.09 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.70/1.09 , skaf45( X, Y ) ), X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.70/1.09 , app( tl( Y ), X ) ) ],
% 0.70/1.09 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.70/1.09 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.70/1.09 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.70/1.09 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.70/1.09 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.70/1.09 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.70/1.09 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.70/1.09 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.70/1.09 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.70/1.09 memberP( cons( Y, Z ), X ) ],
% 0.70/1.09 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.70/1.09 ) ), memberP( cons( Z, X ), Y ) ],
% 0.70/1.09 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.70/1.09 ) ), memberP( app( X, Z ), Y ) ],
% 0.70/1.09 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.70/1.09 ) ), memberP( app( Z, X ), Y ) ],
% 0.70/1.09 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.70/1.09 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.70/1.09 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.70/1.09 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.70/1.09 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.70/1.09 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.70/1.09 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.70/1.09 , =( app( X, Y ), nil ) ],
% 0.70/1.09 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.70/1.09 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.70/1.09 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.70/1.09 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.70/1.09 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.70/1.09 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.70/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.70/1.09 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.70/1.09 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.70/1.09 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.70/1.09 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.70/1.09 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.70/1.09 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.70/1.09 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.70/1.09 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.70/1.09 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.70/1.09 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.70/1.09 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.70/1.09 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.70/1.09 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.70/1.09 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.70/1.09 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.70/1.09 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.70/1.09 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.70/1.09 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.70/1.09 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.70/1.09 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.70/1.09 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.70/1.09 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.70/1.09 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.70/1.09 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.70/1.09 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.70/1.09 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.70/1.09 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.70/1.09 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.70/1.09 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.70/1.09 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.70/1.09 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.70/1.09 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.70/1.09 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.70/1.09 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.70/1.09 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.70/1.09 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.70/1.09 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.70/1.09 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.70/1.09 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.70/1.09 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.70/1.09 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.70/1.09 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.70/1.09 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.70/1.09 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.70/1.09 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.70/1.09 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.70/1.09 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.70/1.09 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.70/1.09 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.70/1.09 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.70/1.09 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.70/1.09 T, Y ) ) ],
% 0.70/1.09 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.70/1.09 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.70/1.09 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.70/1.09 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.70/1.09 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.70/1.09 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.70/1.09 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.70/1.09 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.70/1.09 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.70/1.09 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.70/1.09 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.70/1.09 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.70/1.09 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.70/1.09 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.70/1.09 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.70/1.09 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.70/1.09 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.70/1.09 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.70/1.09 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.70/1.09 W ) ) ],
% 0.70/1.09 [ ssList( sk1 ) ],
% 0.70/1.09 [ ssList( sk2 ) ],
% 0.70/1.09 [ ssList( sk3 ) ],
% 0.70/1.09 [ ssList( sk4 ) ],
% 0.70/1.09 [ =( sk2, sk4 ) ],
% 0.70/1.09 [ =( sk1, sk3 ) ],
% 0.70/1.09 [ ssList( sk5 ) ],
% 0.70/1.09 [ ssList( sk6 ) ],
% 0.70/1.09 [ =( app( app( sk5, sk3 ), sk6 ), sk4 ) ],
% 0.70/1.09 [ totalorderedP( sk3 ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) ),
% 0.70/1.09 sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( cons( Z, nil ), T
% 0.70/1.09 ), sk3 ) ), ~( leq( X, Z ) ) ],
% 0.70/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, nil ), Y ),
% 0.70/1.09 sk6 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T, cons( Z, nil )
% 0.70/1.09 ), sk3 ) ), ~( leq( Z, X ) ) ],
% 0.70/1.09 [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ],
% 0.70/1.09 [ ~( segmentP( sk2, sk1 ) ), ~( totalorderedP( sk1 ) ) ]
% 0.70/1.09 ] .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 percentage equality = 0.167472, percentage horn = 0.846939
% 0.70/1.09 This is a problem with some equality
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 1
% 0.70/1.09 useeqrefl = 1
% 0.70/1.09 useeqfact = 1
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 5
% 0.70/1.09 usesimpres = 3
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = eqrewr
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.09
% 0.70/1.09 termordering = kbo
% 0.70/1.09
% 0.70/1.09 litapriori = 0
% 0.70/1.09 termapriori = 1
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negord
% 0.70/1.09
% 0.70/1.09 maxweight = 15
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 1
% 0.70/1.09 increasemaxweight = 1
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 6.04/6.47 maxnrclauses = 10000000
% 6.04/6.47
% 6.04/6.47 showgenerated = 0
% 6.04/6.47 showkept = 0
% 6.04/6.47 showselected = 0
% 6.04/6.47 showdeleted = 0
% 6.04/6.47 showresimp = 1
% 6.04/6.47 showstatus = 2000
% 6.04/6.47
% 6.04/6.47 prologoutput = 1
% 6.04/6.47 nrgoals = 5000000
% 6.04/6.47 totalproof = 1
% 6.04/6.47
% 6.04/6.47 Symbols occurring in the translation:
% 6.04/6.47
% 6.04/6.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.04/6.47 . [1, 2] (w:1, o:81, a:1, s:1, b:0),
% 6.04/6.47 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 6.04/6.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.04/6.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.04/6.47 nil [39, 0] (w:1, o:17, a:1, s:1, b:0),
% 6.04/6.47 equalelemsP [40, 1] (w:1, o:35, a:1, s:1, b:0),
% 6.04/6.47 duplicatefreeP [41, 1] (w:1, o:34, a:1, s:1, b:0),
% 6.04/6.47 strictorderedP [42, 1] (w:1, o:38, a:1, s:1, b:0),
% 6.04/6.47 totalorderedP [43, 1] (w:1, o:77, a:1, s:1, b:0),
% 6.04/6.47 strictorderP [44, 1] (w:1, o:39, a:1, s:1, b:0),
% 6.04/6.47 totalorderP [45, 1] (w:1, o:78, a:1, s:1, b:0),
% 6.04/6.47 cyclefreeP [46, 1] (w:1, o:33, a:1, s:1, b:0),
% 6.04/6.47 ssList [47, 1] (w:1, o:36, a:1, s:1, b:0),
% 6.04/6.47 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 6.04/6.47 ssItem [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 6.04/6.47 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 6.04/6.47 singletonP [51, 1] (w:1, o:40, a:1, s:1, b:0),
% 6.04/6.47 skaf83 [53, 1] (w:1, o:76, a:1, s:1, b:0),
% 6.04/6.47 skaf82 [54, 1] (w:1, o:75, a:1, s:1, b:0),
% 6.04/6.47 skaf81 [55, 1] (w:1, o:74, a:1, s:1, b:0),
% 6.04/6.47 skaf80 [56, 1] (w:1, o:73, a:1, s:1, b:0),
% 6.04/6.47 skaf79 [57, 1] (w:1, o:72, a:1, s:1, b:0),
% 6.04/6.47 skaf78 [58, 1] (w:1, o:71, a:1, s:1, b:0),
% 6.04/6.47 skaf77 [59, 1] (w:1, o:70, a:1, s:1, b:0),
% 6.04/6.47 skaf76 [60, 1] (w:1, o:69, a:1, s:1, b:0),
% 6.04/6.47 skaf75 [61, 1] (w:1, o:68, a:1, s:1, b:0),
% 6.04/6.47 skaf74 [62, 1] (w:1, o:67, a:1, s:1, b:0),
% 6.04/6.47 skaf73 [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 6.04/6.47 skaf72 [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 6.04/6.47 skaf71 [65, 1] (w:1, o:64, a:1, s:1, b:0),
% 6.04/6.47 skaf70 [66, 1] (w:1, o:63, a:1, s:1, b:0),
% 6.04/6.47 skaf69 [67, 1] (w:1, o:62, a:1, s:1, b:0),
% 6.04/6.47 skaf68 [68, 1] (w:1, o:61, a:1, s:1, b:0),
% 6.04/6.47 skaf67 [69, 1] (w:1, o:60, a:1, s:1, b:0),
% 6.04/6.47 skaf66 [70, 1] (w:1, o:59, a:1, s:1, b:0),
% 6.04/6.47 skaf65 [71, 1] (w:1, o:58, a:1, s:1, b:0),
% 6.04/6.47 skaf64 [72, 1] (w:1, o:57, a:1, s:1, b:0),
% 6.04/6.47 skaf63 [73, 1] (w:1, o:56, a:1, s:1, b:0),
% 6.04/6.47 skaf62 [74, 1] (w:1, o:55, a:1, s:1, b:0),
% 6.04/6.47 skaf61 [75, 1] (w:1, o:54, a:1, s:1, b:0),
% 6.04/6.47 skaf60 [76, 1] (w:1, o:53, a:1, s:1, b:0),
% 6.04/6.47 skaf59 [77, 1] (w:1, o:52, a:1, s:1, b:0),
% 6.04/6.47 skaf58 [78, 1] (w:1, o:51, a:1, s:1, b:0),
% 6.04/6.47 skaf57 [79, 1] (w:1, o:50, a:1, s:1, b:0),
% 6.04/6.47 skaf56 [80, 1] (w:1, o:49, a:1, s:1, b:0),
% 6.04/6.47 skaf55 [81, 1] (w:1, o:48, a:1, s:1, b:0),
% 6.04/6.47 skaf54 [82, 1] (w:1, o:47, a:1, s:1, b:0),
% 6.04/6.47 skaf53 [83, 1] (w:1, o:46, a:1, s:1, b:0),
% 6.04/6.47 skaf52 [84, 1] (w:1, o:45, a:1, s:1, b:0),
% 6.04/6.47 skaf51 [85, 1] (w:1, o:44, a:1, s:1, b:0),
% 6.04/6.47 skaf50 [86, 1] (w:1, o:43, a:1, s:1, b:0),
% 6.04/6.47 skaf49 [87, 1] (w:1, o:41, a:1, s:1, b:0),
% 6.04/6.47 skaf44 [88, 1] (w:1, o:42, a:1, s:1, b:0),
% 6.04/6.47 skaf48 [90, 2] (w:1, o:110, a:1, s:1, b:0),
% 6.04/6.47 skaf47 [91, 2] (w:1, o:109, a:1, s:1, b:0),
% 6.04/6.47 skaf46 [92, 2] (w:1, o:108, a:1, s:1, b:0),
% 6.04/6.47 skaf45 [93, 2] (w:1, o:107, a:1, s:1, b:0),
% 6.04/6.47 skaf43 [94, 2] (w:1, o:112, a:1, s:1, b:0),
% 6.04/6.47 skaf42 [95, 2] (w:1, o:111, a:1, s:1, b:0),
% 6.04/6.47 geq [96, 2] (w:1, o:114, a:1, s:1, b:0),
% 6.04/6.47 segmentP [97, 2] (w:1, o:115, a:1, s:1, b:0),
% 6.04/6.47 rearsegP [98, 2] (w:1, o:106, a:1, s:1, b:0),
% 6.04/6.47 frontsegP [99, 2] (w:1, o:113, a:1, s:1, b:0),
% 6.04/6.47 leq [100, 2] (w:1, o:116, a:1, s:1, b:0),
% 6.04/6.47 lt [101, 2] (w:1, o:117, a:1, s:1, b:0),
% 6.04/6.47 cons [102, 2] (w:1, o:118, a:1, s:1, b:0),
% 6.04/6.47 memberP [103, 2] (w:1, o:119, a:1, s:1, b:0),
% 6.04/6.47 app [104, 2] (w:1, o:120, a:1, s:1, b:0),
% 6.04/6.47 tl [105, 1] (w:1, o:79, a:1, s:1, b:0),
% 6.04/6.47 hd [106, 1] (w:1, o:80, a:1, s:1, b:0),
% 6.04/6.47 neq [107, 2] (w:1, o:121, a:1, s:1, b:0),
% 6.04/6.47 gt [108, 2] (w:1, o:122, a:1, s:1, b:0),
% 6.04/6.47 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 6.04/6.47 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 6.04/6.47 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.04/6.47 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 6.04/6.47 sk5 [117, 0] (w:1, o:11, a:1, s:1, b:0),
% 6.04/6.47 sk6 [118, 0] (w:1, o:12, a:1, s:1, b:0).
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Starting Search:
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 4200
% 6.04/6.47 Kept: 2107
% 6.04/6.47 Inuse: 209
% 6.04/6.47 Deleted: 2
% 6.04/6.47 Deletedinuse: 0
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 9224
% 6.04/6.47 Kept: 4795
% 6.04/6.47 Inuse: 294
% 6.04/6.47 Deleted: 2
% 6.04/6.47 Deletedinuse: 0
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 15390
% 6.04/6.47 Kept: 7383
% 6.04/6.47 Inuse: 374
% 6.04/6.47 Deleted: 2
% 6.04/6.47 Deletedinuse: 0
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 25902
% 6.04/6.47 Kept: 9763
% 6.04/6.47 Inuse: 409
% 6.04/6.47 Deleted: 2
% 6.04/6.47 Deletedinuse: 0
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 41184
% 6.04/6.47 Kept: 11877
% 6.04/6.47 Inuse: 459
% 6.04/6.47 Deleted: 4
% 6.04/6.47 Deletedinuse: 2
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 48811
% 6.04/6.47 Kept: 13891
% 6.04/6.47 Inuse: 518
% 6.04/6.47 Deleted: 4
% 6.04/6.47 Deletedinuse: 2
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 59107
% 6.04/6.47 Kept: 15924
% 6.04/6.47 Inuse: 541
% 6.04/6.47 Deleted: 5
% 6.04/6.47 Deletedinuse: 3
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 66488
% 6.04/6.47 Kept: 18056
% 6.04/6.47 Inuse: 574
% 6.04/6.47 Deleted: 5
% 6.04/6.47 Deletedinuse: 3
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 76281
% 6.04/6.47 Kept: 20100
% 6.04/6.47 Inuse: 599
% 6.04/6.47 Deleted: 7
% 6.04/6.47 Deletedinuse: 5
% 6.04/6.47
% 6.04/6.47 Resimplifying clauses:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 89098
% 6.04/6.47 Kept: 22237
% 6.04/6.47 Inuse: 629
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 96239
% 6.04/6.47 Kept: 24259
% 6.04/6.47 Inuse: 649
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 115031
% 6.04/6.47 Kept: 26442
% 6.04/6.47 Inuse: 669
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 135322
% 6.04/6.47 Kept: 28630
% 6.04/6.47 Inuse: 694
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 145934
% 6.04/6.47 Kept: 30636
% 6.04/6.47 Inuse: 742
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 159424
% 6.04/6.47 Kept: 33239
% 6.04/6.47 Inuse: 809
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 181734
% 6.04/6.47 Kept: 35280
% 6.04/6.47 Inuse: 865
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 196996
% 6.04/6.47 Kept: 37289
% 6.04/6.47 Inuse: 912
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 Intermediate Status:
% 6.04/6.47 Generated: 206958
% 6.04/6.47 Kept: 39313
% 6.04/6.47 Inuse: 958
% 6.04/6.47 Deleted: 1048
% 6.04/6.47 Deletedinuse: 14
% 6.04/6.47
% 6.04/6.47 Resimplifying inuse:
% 6.04/6.47 Done
% 6.04/6.47
% 6.04/6.47 Resimplifying clauses:
% 6.04/6.47
% 6.04/6.47 Bliksems!, er is een bewijs:
% 6.04/6.47 % SZS status Unsatisfiable
% 6.04/6.47 % SZS output start Refutation
% 6.04/6.47
% 6.04/6.47 clause( 169, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~(
% 6.04/6.47 ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 182, [ ssList( sk1 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 183, [ ssList( sk2 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 186, [ =( sk4, sk2 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 187, [ =( sk3, sk1 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 188, [ ssList( sk5 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 189, [ ssList( sk6 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 190, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 191, [ totalorderedP( sk1 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 195, [ ~( segmentP( sk2, sk1 ) ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 28756, [ ~( =( sk2, X ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) ),
% 6.04/6.47 ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 28805, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), segmentP( sk2, sk1
% 6.04/6.47 ) ] )
% 6.04/6.47 .
% 6.04/6.47 clause( 40805, [] )
% 6.04/6.47 .
% 6.04/6.47
% 6.04/6.47
% 6.04/6.47 % SZS output end Refutation
% 6.04/6.47 found a proof!
% 6.04/6.47
% 6.04/6.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.04/6.47
% 6.04/6.47 initialclauses(
% 6.04/6.47 [ clause( 40807, [ equalelemsP( nil ) ] )
% 6.04/6.47 , clause( 40808, [ duplicatefreeP( nil ) ] )
% 6.04/6.47 , clause( 40809, [ strictorderedP( nil ) ] )
% 6.04/6.47 , clause( 40810, [ totalorderedP( nil ) ] )
% 6.04/6.47 , clause( 40811, [ strictorderP( nil ) ] )
% 6.04/6.47 , clause( 40812, [ totalorderP( nil ) ] )
% 6.04/6.47 , clause( 40813, [ cyclefreeP( nil ) ] )
% 6.04/6.47 , clause( 40814, [ ssList( nil ) ] )
% 6.04/6.47 , clause( 40815, [ ssItem( skac3 ) ] )
% 6.04/6.47 , clause( 40816, [ ssItem( skac2 ) ] )
% 6.04/6.47 , clause( 40817, [ ~( singletonP( nil ) ) ] )
% 6.04/6.47 , clause( 40818, [ ssItem( skaf83( X ) ) ] )
% 6.04/6.47 , clause( 40819, [ ssList( skaf82( X ) ) ] )
% 6.04/6.47 , clause( 40820, [ ssList( skaf81( X ) ) ] )
% 6.04/6.47 , clause( 40821, [ ssList( skaf80( X ) ) ] )
% 6.04/6.47 , clause( 40822, [ ssItem( skaf79( X ) ) ] )
% 6.04/6.47 , clause( 40823, [ ssItem( skaf78( X ) ) ] )
% 6.04/6.47 , clause( 40824, [ ssList( skaf77( X ) ) ] )
% 6.04/6.47 , clause( 40825, [ ssList( skaf76( X ) ) ] )
% 6.04/6.47 , clause( 40826, [ ssList( skaf75( X ) ) ] )
% 6.04/6.47 , clause( 40827, [ ssItem( skaf74( X ) ) ] )
% 6.04/6.47 , clause( 40828, [ ssList( skaf73( X ) ) ] )
% 6.04/6.47 , clause( 40829, [ ssList( skaf72( X ) ) ] )
% 6.04/6.47 , clause( 40830, [ ssList( skaf71( X ) ) ] )
% 6.04/6.47 , clause( 40831, [ ssItem( skaf70( X ) ) ] )
% 6.04/6.47 , clause( 40832, [ ssItem( skaf69( X ) ) ] )
% 6.04/6.47 , clause( 40833, [ ssList( skaf68( X ) ) ] )
% 6.04/6.47 , clause( 40834, [ ssList( skaf67( X ) ) ] )
% 6.04/6.47 , clause( 40835, [ ssList( skaf66( X ) ) ] )
% 6.04/6.47 , clause( 40836, [ ssItem( skaf65( X ) ) ] )
% 6.04/6.47 , clause( 40837, [ ssItem( skaf64( X ) ) ] )
% 6.04/6.47 , clause( 40838, [ ssList( skaf63( X ) ) ] )
% 6.04/6.47 , clause( 40839, [ ssList( skaf62( X ) ) ] )
% 6.04/6.47 , clause( 40840, [ ssList( skaf61( X ) ) ] )
% 6.04/6.47 , clause( 40841, [ ssItem( skaf60( X ) ) ] )
% 6.04/6.47 , clause( 40842, [ ssItem( skaf59( X ) ) ] )
% 6.04/6.47 , clause( 40843, [ ssList( skaf58( X ) ) ] )
% 6.04/6.47 , clause( 40844, [ ssList( skaf57( X ) ) ] )
% 6.04/6.47 , clause( 40845, [ ssList( skaf56( X ) ) ] )
% 6.04/6.47 , clause( 40846, [ ssItem( skaf55( X ) ) ] )
% 6.04/6.47 , clause( 40847, [ ssItem( skaf54( X ) ) ] )
% 6.04/6.47 , clause( 40848, [ ssList( skaf53( X ) ) ] )
% 6.04/6.47 , clause( 40849, [ ssList( skaf52( X ) ) ] )
% 6.04/6.47 , clause( 40850, [ ssList( skaf51( X ) ) ] )
% 6.04/6.47 , clause( 40851, [ ssItem( skaf50( X ) ) ] )
% 6.04/6.47 , clause( 40852, [ ssItem( skaf49( X ) ) ] )
% 6.04/6.47 , clause( 40853, [ ssItem( skaf44( X ) ) ] )
% 6.04/6.47 , clause( 40854, [ ssList( skaf48( X, Y ) ) ] )
% 6.04/6.47 , clause( 40855, [ ssList( skaf47( X, Y ) ) ] )
% 6.04/6.47 , clause( 40856, [ ssList( skaf46( X, Y ) ) ] )
% 6.04/6.47 , clause( 40857, [ ssList( skaf45( X, Y ) ) ] )
% 6.04/6.47 , clause( 40858, [ ssList( skaf43( X, Y ) ) ] )
% 6.04/6.47 , clause( 40859, [ ssList( skaf42( X, Y ) ) ] )
% 6.04/6.47 , clause( 40860, [ ~( =( skac3, skac2 ) ) ] )
% 6.04/6.47 , clause( 40861, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 6.04/6.47 , clause( 40862, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 6.04/6.47 , clause( 40863, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 6.04/6.47 , clause( 40864, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 6.04/6.47 , clause( 40865, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 6.04/6.47 , clause( 40866, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 6.04/6.47 , clause( 40867, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 6.04/6.47 , clause( 40868, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 6.04/6.47 , clause( 40869, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 6.04/6.47 , clause( 40870, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 6.04/6.47 , clause( 40871, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 6.04/6.47 , clause( 40872, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 6.04/6.47 , clause( 40873, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 6.04/6.47 , clause( 40874, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 6.04/6.47 , clause( 40875, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 6.04/6.47 , clause( 40876, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 6.04/6.47 , clause( 40877, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 6.04/6.47 , clause( 40878, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 6.04/6.47 , clause( 40879, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 6.04/6.47 , clause( 40880, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 6.04/6.47 , clause( 40881, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 6.04/6.47 , clause( 40882, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 6.04/6.47 , clause( 40883, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 6.04/6.47 , clause( 40884, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 6.04/6.47 , clause( 40885, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 6.04/6.47 )
% 6.04/6.47 , clause( 40886, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 6.04/6.47 )
% 6.04/6.47 , clause( 40887, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 6.04/6.47 )
% 6.04/6.47 , clause( 40888, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 6.04/6.47 )
% 6.04/6.47 , clause( 40889, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 6.04/6.47 ] )
% 6.04/6.47 , clause( 40890, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 6.04/6.47 ] )
% 6.04/6.47 , clause( 40891, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 6.04/6.47 ) ] )
% 6.04/6.47 , clause( 40892, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 6.04/6.47 ) ] )
% 6.04/6.47 , clause( 40893, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 6.04/6.47 skaf49( X ) ) ] )
% 6.04/6.47 , clause( 40894, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 6.04/6.47 skaf50( X ) ) ] )
% 6.04/6.47 , clause( 40895, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 6.04/6.47 equalelemsP( X ) ] )
% 6.04/6.47 , clause( 40896, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 6.04/6.47 strictorderedP( X ) ] )
% 6.04/6.47 , clause( 40897, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 6.04/6.47 totalorderedP( X ) ] )
% 6.04/6.47 , clause( 40898, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 6.04/6.47 strictorderP( X ) ] )
% 6.04/6.47 , clause( 40899, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 6.04/6.47 strictorderP( X ) ] )
% 6.04/6.47 , clause( 40900, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 6.04/6.47 totalorderP( X ) ] )
% 6.04/6.47 , clause( 40901, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 6.04/6.47 totalorderP( X ) ] )
% 6.04/6.47 , clause( 40902, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 6.04/6.47 ), Y ) ] )
% 6.04/6.47 , clause( 40903, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 6.04/6.47 ), X ) ] )
% 6.04/6.47 , clause( 40904, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 6.04/6.47 Y ) ) ] )
% 6.04/6.47 , clause( 40905, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 6.04/6.47 Y ) ) ] )
% 6.04/6.47 , clause( 40906, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 6.04/6.47 ) ] )
% 6.04/6.47 , clause( 40907, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 6.04/6.47 X ), nil ), X ) ] )
% 6.04/6.47 , clause( 40908, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 6.04/6.47 ) ] )
% 6.04/6.47 , clause( 40909, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 6.04/6.47 X, Y ) ] )
% 6.04/6.47 , clause( 40910, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 6.04/6.47 nil, X ) ] )
% 6.04/6.47 , clause( 40911, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 6.04/6.47 Y, X ) ] )
% 6.04/6.47 , clause( 40912, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 6.04/6.47 Y, X ) ] )
% 6.04/6.47 , clause( 40913, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 6.04/6.47 leq( Y, X ) ] )
% 6.04/6.47 , clause( 40914, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 6.04/6.47 geq( Y, X ) ] )
% 6.04/6.47 , clause( 40915, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 6.04/6.47 ), =( nil, X ) ] )
% 6.04/6.47 , clause( 40916, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 6.04/6.47 ssItem( Y ) ) ] )
% 6.04/6.47 , clause( 40917, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 6.04/6.47 ssItem( X ) ) ] )
% 6.04/6.47 , clause( 40918, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 6.04/6.47 strictorderedP( cons( Y, X ) ) ] )
% 6.04/6.47 , clause( 40919, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 6.04/6.47 totalorderedP( cons( Y, X ) ) ] )
% 6.04/6.47 , clause( 40920, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 6.04/6.47 ssItem( Y ) ) ] )
% 6.04/6.47 , clause( 40921, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 6.04/6.47 ssList( X ) ) ] )
% 6.04/6.47 , clause( 40922, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 6.04/6.47 Y ) ), singletonP( Y ) ] )
% 6.04/6.47 , clause( 40923, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 6.04/6.47 ssItem( X ) ) ] )
% 6.04/6.47 , clause( 40924, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 6.04/6.47 X ) ), =( nil, X ) ] )
% 6.04/6.47 , clause( 40925, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 6.04/6.47 X ) ), =( nil, Y ) ] )
% 6.04/6.47 , clause( 40926, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 6.04/6.47 ), Y ), cons( X, Y ) ) ] )
% 6.04/6.47 , clause( 40927, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 6.04/6.47 X, Y ), =( X, Y ) ] )
% 6.04/6.47 , clause( 40928, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 6.04/6.47 X, Y ), =( X, Y ) ] )
% 6.04/6.47 , clause( 40929, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 6.04/6.47 app( Y, X ) ), hd( Y ) ) ] )
% 6.04/6.47 , clause( 40930, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 6.04/6.47 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 6.04/6.47 , clause( 40931, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 6.04/6.47 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 6.04/6.47 , clause( 40932, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 6.04/6.47 ~( ssItem( Y ) ), =( Y, X ) ] )
% 6.04/6.47 , clause( 40933, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 6.04/6.47 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 6.04/6.47 , clause( 40934, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 6.04/6.47 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 6.04/6.47 , clause( 40935, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 6.04/6.47 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 6.04/6.47 , clause( 40936, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 6.04/6.47 ~( ssItem( Y ) ), =( Y, X ) ] )
% 6.04/6.47 , clause( 40937, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 6.04/6.47 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 6.04/6.47 , clause( 40938, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 6.04/6.47 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 6.04/6.47 , clause( 40939, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 6.04/6.47 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 6.04/6.47 , clause( 40940, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 6.04/6.47 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 6.04/6.47 , clause( 40941, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 6.04/6.47 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 6.04/6.47 , clause( 40942, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 6.04/6.47 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 6.04/6.47 , clause( 40943, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 6.04/6.47 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 6.04/6.47 , clause( 40944, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 6.04/6.47 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 6.04/6.47 , clause( 40945, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 6.04/6.47 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 6.04/6.47 , clause( 40946, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 6.04/6.47 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 6.04/6.47 , clause( 40947, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 6.04/6.47 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 6.04/6.47 , clause( 40948, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 6.04/6.47 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 6.04/6.47 , clause( 40949, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 6.04/6.47 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 6.04/6.47 , clause( 40950, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 6.04/6.47 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 6.04/6.47 , clause( 40951, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 6.04/6.47 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 6.04/6.47 , clause( 40952, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 6.04/6.47 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 6.04/6.47 , clause( 40953, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 6.04/6.47 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 6.04/6.47 , clause( 40954, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 6.04/6.47 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 6.04/6.47 , clause( 40955, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 6.04/6.47 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 6.04/6.47 , clause( 40956, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 6.04/6.47 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 6.04/6.47 , clause( 40957, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 6.04/6.47 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 6.04/6.47 , clause( 40958, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 6.04/6.47 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 6.04/6.47 , clause( 40959, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 6.04/6.47 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 6.04/6.47 , clause( 40960, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 6.04/6.47 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 6.04/6.47 , clause( 40961, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 6.04/6.47 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 6.04/6.47 , clause( 40962, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 6.04/6.47 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 6.04/6.47 , clause( 40963, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 6.04/6.47 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 6.04/6.47 , clause( 40964, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 6.04/6.47 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 6.04/6.47 , clause( 40965, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 6.04/6.47 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 6.04/6.47 ) ] )
% 6.04/6.47 , clause( 40966, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 6.04/6.47 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 6.04/6.47 Y ) ] )
% 6.04/6.47 , clause( 40967, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 6.04/6.47 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 6.04/6.47 , clause( 40968, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 6.04/6.47 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 6.04/6.47 skaf77( X ) ) ), X ) ] )
% 6.04/6.47 , clause( 40969, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 6.04/6.47 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 6.04/6.47 skaf73( X ) ) ), X ) ] )
% 6.04/6.47 , clause( 40970, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 6.04/6.47 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 6.04/6.47 skaf68( X ) ) ), X ) ] )
% 6.04/6.47 , clause( 40971, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 6.04/6.47 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 6.04/6.47 ), X ) ] )
% 6.04/6.47 , clause( 40972, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 6.04/6.47 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 6.04/6.47 ), X ) ] )
% 6.04/6.47 , clause( 40973, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 6.04/6.47 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 6.04/6.47 ), X ) ] )
% 6.04/6.47 , clause( 40974, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 6.04/6.47 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 6.04/6.47 , clause( 40975, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 6.04/6.47 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 6.04/6.47 , clause( 40976, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 6.04/6.47 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 6.04/6.47 , clause( 40977, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 6.04/6.47 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 6.04/6.47 , clause( 40978, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 6.04/6.47 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 6.04/6.47 Y ) ] )
% 6.04/6.47 , clause( 40979, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 6.04/6.47 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 6.04/6.47 )
% 6.04/6.47 , clause( 40980, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 6.04/6.47 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 6.04/6.47 , T ) ] )
% 6.04/6.47 , clause( 40981, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 6.04/6.47 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 6.04/6.47 )
% 6.04/6.47 , clause( 40982, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 6.04/6.47 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 6.04/6.47 )
% 6.04/6.47 , clause( 40983, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 6.04/6.47 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 6.04/6.47 )
% 6.04/6.47 , clause( 40984, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 6.04/6.47 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 6.04/6.47 Z, X ), cons( T, Y ) ) ] )
% 6.04/6.47 , clause( 40985, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 6.04/6.47 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 6.04/6.47 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 6.04/6.47 , clause( 40986, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 6.04/6.47 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 6.04/6.47 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 6.04/6.47 , clause( 40987, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 6.04/6.47 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 6.12/6.51 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 6.12/6.51 ) ] )
% 6.12/6.51 , clause( 40988, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 6.12/6.51 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 6.12/6.51 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 6.12/6.51 ) ] )
% 6.12/6.51 , clause( 40989, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 6.12/6.51 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 6.12/6.51 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 6.12/6.51 , lt( T, Y ) ] )
% 6.12/6.51 , clause( 40990, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 6.12/6.51 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 6.12/6.51 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 6.12/6.51 , leq( T, Y ) ] )
% 6.12/6.51 , clause( 40991, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 6.12/6.51 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 6.12/6.51 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 6.12/6.51 ) ), ~( ssList( W ) ) ] )
% 6.12/6.51 , clause( 40992, [ ssList( sk1 ) ] )
% 6.12/6.51 , clause( 40993, [ ssList( sk2 ) ] )
% 6.12/6.51 , clause( 40994, [ ssList( sk3 ) ] )
% 6.12/6.51 , clause( 40995, [ ssList( sk4 ) ] )
% 6.12/6.51 , clause( 40996, [ =( sk2, sk4 ) ] )
% 6.12/6.51 , clause( 40997, [ =( sk1, sk3 ) ] )
% 6.12/6.51 , clause( 40998, [ ssList( sk5 ) ] )
% 6.12/6.51 , clause( 40999, [ ssList( sk6 ) ] )
% 6.12/6.51 , clause( 41000, [ =( app( app( sk5, sk3 ), sk6 ), sk4 ) ] )
% 6.12/6.51 , clause( 41001, [ totalorderedP( sk3 ) ] )
% 6.12/6.51 , clause( 41002, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons(
% 6.12/6.51 X, nil ) ), sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( cons(
% 6.12/6.51 Z, nil ), T ), sk3 ) ), ~( leq( X, Z ) ) ] )
% 6.12/6.51 , clause( 41003, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X,
% 6.12/6.51 nil ), Y ), sk6 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T,
% 6.12/6.51 cons( Z, nil ) ), sk3 ) ), ~( leq( Z, X ) ) ] )
% 6.12/6.51 , clause( 41004, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 6.12/6.51 , clause( 41005, [ ~( segmentP( sk2, sk1 ) ), ~( totalorderedP( sk1 ) ) ]
% 6.12/6.51 )
% 6.12/6.51 ] ).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 subsumption(
% 6.12/6.51 clause( 169, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~(
% 6.12/6.51 ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 6.12/6.51 , clause( 40979, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 6.12/6.51 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 6.12/6.51 )
% 6.12/6.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.12/6.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 6.12/6.51 ==>( 4, 4 ), ==>( 5, 5 )] ) ).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 subsumption(
% 6.12/6.51 clause( 182, [ ssList( sk1 ) ] )
% 6.12/6.51 , clause( 40992, [ ssList( sk1 ) ] )
% 6.12/6.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 subsumption(
% 6.12/6.51 clause( 183, [ ssList( sk2 ) ] )
% 6.12/6.51 , clause( 40993, [ ssList( sk2 ) ] )
% 6.12/6.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 eqswap(
% 6.12/6.51 clause( 43567, [ =( sk4, sk2 ) ] )
% 6.12/6.51 , clause( 40996, [ =( sk2, sk4 ) ] )
% 6.12/6.51 , 0, substitution( 0, [] )).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 subsumption(
% 6.12/6.51 clause( 186, [ =( sk4, sk2 ) ] )
% 6.12/6.51 , clause( 43567, [ =( sk4, sk2 ) ] )
% 6.12/6.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 eqswap(
% 6.12/6.51 clause( 44326, [ =( sk3, sk1 ) ] )
% 6.12/6.51 , clause( 40997, [ =( sk1, sk3 ) ] )
% 6.12/6.51 , 0, substitution( 0, [] )).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 subsumption(
% 6.12/6.51 clause( 187, [ =( sk3, sk1 ) ] )
% 6.12/6.51 , clause( 44326, [ =( sk3, sk1 ) ] )
% 6.12/6.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 subsumption(
% 6.12/6.51 clause( 188, [ ssList( sk5 ) ] )
% 6.12/6.51 , clause( 40998, [ ssList( sk5 ) ] )
% 6.12/6.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 subsumption(
% 6.12/6.51 clause( 189, [ ssList( sk6 ) ] )
% 6.12/6.51 , clause( 40999, [ ssList( sk6 ) ] )
% 6.12/6.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 paramod(
% 6.12/6.51 clause( 47002, [ =( app( app( sk5, sk1 ), sk6 ), sk4 ) ] )
% 6.12/6.51 , clause( 187, [ =( sk3, sk1 ) ] )
% 6.12/6.51 , 0, clause( 41000, [ =( app( app( sk5, sk3 ), sk6 ), sk4 ) ] )
% 6.12/6.51 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 6.12/6.51
% 6.12/6.51
% 6.12/6.51 paramod(
% 6.12/6.51 clause( 47003, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 6.12/6.51 , clause( 186, [ =( sk4, sk2 ) ] )
% 6.12/6.51 , 0, clause( 47002, [ =( app( app( sk5, sk1 ), sk6 ), sk4 ) ] )
% 6.12/6.51 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 subsumption(
% 6.12/6.52 clause( 190, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 6.12/6.52 , clause( 47003, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 6.12/6.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 paramod(
% 6.12/6.52 clause( 47973, [ totalorderedP( sk1 ) ] )
% 6.12/6.52 , clause( 187, [ =( sk3, sk1 ) ] )
% 6.12/6.52 , 0, clause( 41001, [ totalorderedP( sk3 ) ] )
% 6.12/6.52 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 subsumption(
% 6.12/6.52 clause( 191, [ totalorderedP( sk1 ) ] )
% 6.12/6.52 , clause( 47973, [ totalorderedP( sk1 ) ] )
% 6.12/6.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 resolution(
% 6.12/6.52 clause( 48773, [ ~( segmentP( sk2, sk1 ) ) ] )
% 6.12/6.52 , clause( 41005, [ ~( segmentP( sk2, sk1 ) ), ~( totalorderedP( sk1 ) ) ]
% 6.12/6.52 )
% 6.12/6.52 , 1, clause( 191, [ totalorderedP( sk1 ) ] )
% 6.12/6.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 subsumption(
% 6.12/6.52 clause( 195, [ ~( segmentP( sk2, sk1 ) ) ] )
% 6.12/6.52 , clause( 48773, [ ~( segmentP( sk2, sk1 ) ) ] )
% 6.12/6.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 eqswap(
% 6.12/6.52 clause( 48775, [ ~( =( T, app( app( X, Y ), Z ) ) ), ~( ssList( Z ) ), ~(
% 6.12/6.52 ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 6.12/6.52 , clause( 169, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~(
% 6.12/6.52 ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 6.12/6.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 6.12/6.52 ).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 paramod(
% 6.12/6.52 clause( 48776, [ ~( =( X, sk2 ) ), ~( ssList( sk6 ) ), ~( ssList( sk5 ) ),
% 6.12/6.52 ~( ssList( sk1 ) ), ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , clause( 190, [ =( app( app( sk5, sk1 ), sk6 ), sk2 ) ] )
% 6.12/6.52 , 0, clause( 48775, [ ~( =( T, app( app( X, Y ), Z ) ) ), ~( ssList( Z ) )
% 6.12/6.52 , ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y )
% 6.12/6.52 ] )
% 6.12/6.52 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, sk5 ), :=( Y, sk1
% 6.12/6.52 ), :=( Z, sk6 ), :=( T, X )] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 resolution(
% 6.12/6.52 clause( 48834, [ ~( =( X, sk2 ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) ),
% 6.12/6.52 ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , clause( 48776, [ ~( =( X, sk2 ) ), ~( ssList( sk6 ) ), ~( ssList( sk5 ) )
% 6.12/6.52 , ~( ssList( sk1 ) ), ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , 1, clause( 189, [ ssList( sk6 ) ] )
% 6.12/6.52 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 eqswap(
% 6.12/6.52 clause( 48835, [ ~( =( sk2, X ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) ),
% 6.12/6.52 ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , clause( 48834, [ ~( =( X, sk2 ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) )
% 6.12/6.52 , ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , 0, substitution( 0, [ :=( X, X )] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 subsumption(
% 6.12/6.52 clause( 28756, [ ~( =( sk2, X ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) ),
% 6.12/6.52 ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , clause( 48835, [ ~( =( sk2, X ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) )
% 6.12/6.52 , ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.12/6.52 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 eqswap(
% 6.12/6.52 clause( 48840, [ ~( =( X, sk2 ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) ),
% 6.12/6.52 ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , clause( 28756, [ ~( =( sk2, X ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) )
% 6.12/6.52 , ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , 0, substitution( 0, [ :=( X, X )] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 eqrefl(
% 6.12/6.52 clause( 48841, [ ~( ssList( sk5 ) ), ~( ssList( sk1 ) ), ~( ssList( sk2 ) )
% 6.12/6.52 , segmentP( sk2, sk1 ) ] )
% 6.12/6.52 , clause( 48840, [ ~( =( X, sk2 ) ), ~( ssList( sk5 ) ), ~( ssList( sk1 ) )
% 6.12/6.52 , ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 6.12/6.52 , 0, substitution( 0, [ :=( X, sk2 )] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 resolution(
% 6.12/6.52 clause( 48842, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), segmentP( sk2, sk1
% 6.12/6.52 ) ] )
% 6.12/6.52 , clause( 48841, [ ~( ssList( sk5 ) ), ~( ssList( sk1 ) ), ~( ssList( sk2 )
% 6.12/6.52 ), segmentP( sk2, sk1 ) ] )
% 6.12/6.52 , 0, clause( 188, [ ssList( sk5 ) ] )
% 6.12/6.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 subsumption(
% 6.12/6.52 clause( 28805, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), segmentP( sk2, sk1
% 6.12/6.52 ) ] )
% 6.12/6.52 , clause( 48842, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), segmentP( sk2,
% 6.12/6.52 sk1 ) ] )
% 6.12/6.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 6.12/6.52 , 2 )] ) ).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 resolution(
% 6.12/6.52 clause( 48843, [ ~( ssList( sk2 ) ), segmentP( sk2, sk1 ) ] )
% 6.12/6.52 , clause( 28805, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), segmentP( sk2,
% 6.12/6.52 sk1 ) ] )
% 6.12/6.52 , 0, clause( 182, [ ssList( sk1 ) ] )
% 6.12/6.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 resolution(
% 6.12/6.52 clause( 48844, [ segmentP( sk2, sk1 ) ] )
% 6.12/6.52 , clause( 48843, [ ~( ssList( sk2 ) ), segmentP( sk2, sk1 ) ] )
% 6.12/6.52 , 0, clause( 183, [ ssList( sk2 ) ] )
% 6.12/6.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 resolution(
% 6.12/6.52 clause( 48845, [] )
% 6.12/6.52 , clause( 195, [ ~( segmentP( sk2, sk1 ) ) ] )
% 6.12/6.52 , 0, clause( 48844, [ segmentP( sk2, sk1 ) ] )
% 6.12/6.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 subsumption(
% 6.12/6.52 clause( 40805, [] )
% 6.12/6.52 , clause( 48845, [] )
% 6.12/6.52 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 end.
% 6.12/6.52
% 6.12/6.52 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.12/6.52
% 6.12/6.52 Memory use:
% 6.12/6.52
% 6.12/6.52 space for terms: 754762
% 6.12/6.52 space for clauses: 1866473
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 clauses generated: 213325
% 6.12/6.52 clauses kept: 40806
% 6.12/6.52 clauses selected: 987
% 6.12/6.52 clauses deleted: 4091
% 6.12/6.52 clauses inuse deleted: 14
% 6.12/6.52
% 6.12/6.52 subsentry: 507373
% 6.12/6.52 literals s-matched: 265933
% 6.12/6.52 literals matched: 193859
% 6.12/6.52 full subsumption: 99655
% 6.12/6.52
% 6.12/6.52 checksum: 594237643
% 6.12/6.52
% 6.12/6.52
% 6.12/6.52 Bliksem ended
%------------------------------------------------------------------------------