TSTP Solution File: SWC422-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC422-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 19:36:47 EDT 2022
% Result : Unsatisfiable 4.16s 4.56s
% Output : Refutation 4.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC422-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sun Jun 12 17:49:50 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.80/1.20 *** allocated 10000 integers for termspace/termends
% 0.80/1.20 *** allocated 10000 integers for clauses
% 0.80/1.20 *** allocated 10000 integers for justifications
% 0.80/1.20 Bliksem 1.12
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20 Automatic Strategy Selection
% 0.80/1.20
% 0.80/1.20 Clauses:
% 0.80/1.20 [
% 0.80/1.20 [ equalelemsP( nil ) ],
% 0.80/1.20 [ duplicatefreeP( nil ) ],
% 0.80/1.20 [ strictorderedP( nil ) ],
% 0.80/1.20 [ totalorderedP( nil ) ],
% 0.80/1.20 [ strictorderP( nil ) ],
% 0.80/1.20 [ totalorderP( nil ) ],
% 0.80/1.20 [ cyclefreeP( nil ) ],
% 0.80/1.20 [ ssList( nil ) ],
% 0.80/1.20 [ ssItem( skac3 ) ],
% 0.80/1.20 [ ssItem( skac2 ) ],
% 0.80/1.20 [ ~( singletonP( nil ) ) ],
% 0.80/1.20 [ ssItem( skaf83( X ) ) ],
% 0.80/1.20 [ ssList( skaf82( X ) ) ],
% 0.80/1.20 [ ssList( skaf81( X ) ) ],
% 0.80/1.20 [ ssList( skaf80( X ) ) ],
% 0.80/1.20 [ ssItem( skaf79( X ) ) ],
% 0.80/1.20 [ ssItem( skaf78( X ) ) ],
% 0.80/1.20 [ ssList( skaf77( X ) ) ],
% 0.80/1.20 [ ssList( skaf76( X ) ) ],
% 0.80/1.20 [ ssList( skaf75( X ) ) ],
% 0.80/1.20 [ ssItem( skaf74( X ) ) ],
% 0.80/1.20 [ ssList( skaf73( X ) ) ],
% 0.80/1.20 [ ssList( skaf72( X ) ) ],
% 0.80/1.20 [ ssList( skaf71( X ) ) ],
% 0.80/1.20 [ ssItem( skaf70( X ) ) ],
% 0.80/1.20 [ ssItem( skaf69( X ) ) ],
% 0.80/1.20 [ ssList( skaf68( X ) ) ],
% 0.80/1.20 [ ssList( skaf67( X ) ) ],
% 0.80/1.20 [ ssList( skaf66( X ) ) ],
% 0.80/1.20 [ ssItem( skaf65( X ) ) ],
% 0.80/1.20 [ ssItem( skaf64( X ) ) ],
% 0.80/1.20 [ ssList( skaf63( X ) ) ],
% 0.80/1.20 [ ssList( skaf62( X ) ) ],
% 0.80/1.20 [ ssList( skaf61( X ) ) ],
% 0.80/1.20 [ ssItem( skaf60( X ) ) ],
% 0.80/1.20 [ ssItem( skaf59( X ) ) ],
% 0.80/1.20 [ ssList( skaf58( X ) ) ],
% 0.80/1.20 [ ssList( skaf57( X ) ) ],
% 0.80/1.20 [ ssList( skaf56( X ) ) ],
% 0.80/1.20 [ ssItem( skaf55( X ) ) ],
% 0.80/1.20 [ ssItem( skaf54( X ) ) ],
% 0.80/1.20 [ ssList( skaf53( X ) ) ],
% 0.80/1.20 [ ssList( skaf52( X ) ) ],
% 0.80/1.20 [ ssList( skaf51( X ) ) ],
% 0.80/1.20 [ ssItem( skaf50( X ) ) ],
% 0.80/1.20 [ ssItem( skaf49( X ) ) ],
% 0.80/1.20 [ ssItem( skaf44( X ) ) ],
% 0.80/1.20 [ ssList( skaf48( X, Y ) ) ],
% 0.80/1.20 [ ssList( skaf47( X, Y ) ) ],
% 0.80/1.20 [ ssList( skaf46( X, Y ) ) ],
% 0.80/1.20 [ ssList( skaf45( X, Y ) ) ],
% 0.80/1.20 [ ssList( skaf43( X, Y ) ) ],
% 0.80/1.20 [ ssList( skaf42( X, Y ) ) ],
% 0.80/1.20 [ ~( =( skac3, skac2 ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.80/1.20 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.80/1.20 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.80/1.20 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.80/1.20 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.80/1.20 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.80/1.20 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.80/1.20 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.80/1.20 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.80/1.20 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.80/1.20 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.80/1.20 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.80/1.20 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.80/1.20 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.80/1.20 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.80/1.20 X ) ],
% 0.80/1.20 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.80/1.20 X ) ],
% 0.80/1.20 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.80/1.20 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.80/1.20 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.80/1.20 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.80/1.20 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.80/1.20 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.80/1.20 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.80/1.20 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.80/1.20 cons( Y, X ) ) ],
% 0.80/1.20 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.80/1.20 cons( Y, X ) ) ],
% 0.80/1.20 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.80/1.20 singletonP( Y ) ],
% 0.80/1.20 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.80/1.20 , X ) ],
% 0.80/1.20 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.80/1.20 , Y ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.80/1.20 X, Y ) ) ],
% 0.80/1.20 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.80/1.20 , Y ) ],
% 0.80/1.20 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.80/1.20 , Y ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.80/1.20 , hd( Y ) ) ],
% 0.80/1.20 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.80/1.20 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.80/1.20 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.80/1.20 , totalorderedP( Y ), =( nil, Y ) ],
% 0.80/1.20 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.80/1.20 , =( Y, X ) ],
% 0.80/1.20 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.80/1.20 ssList( Y ) ), =( Y, X ) ],
% 0.80/1.20 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.80/1.20 ssList( Y ) ), =( Y, X ) ],
% 0.80/1.20 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.80/1.20 ssList( Y ) ), =( Y, X ) ],
% 0.80/1.20 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.80/1.20 , =( Y, X ) ],
% 0.80/1.20 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.80/1.20 skaf46( X, Y ), Y ), X ) ],
% 0.80/1.20 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.80/1.20 , skaf45( X, Y ) ), X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.80/1.20 , app( tl( Y ), X ) ) ],
% 0.80/1.20 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.80/1.20 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.80/1.20 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.80/1.20 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.80/1.20 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.80/1.20 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.80/1.20 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.80/1.20 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.80/1.20 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.80/1.20 memberP( cons( Y, Z ), X ) ],
% 0.80/1.20 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.80/1.20 ) ), memberP( cons( Z, X ), Y ) ],
% 0.80/1.20 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.80/1.20 ) ), memberP( app( X, Z ), Y ) ],
% 0.80/1.20 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.80/1.20 ) ), memberP( app( Z, X ), Y ) ],
% 0.80/1.20 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.80/1.20 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.80/1.20 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.80/1.20 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.80/1.20 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.80/1.20 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.80/1.20 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.80/1.20 , =( app( X, Y ), nil ) ],
% 0.80/1.20 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.80/1.20 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.80/1.20 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.80/1.20 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.80/1.20 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.80/1.20 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.80/1.20 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.80/1.20 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.80/1.20 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.80/1.20 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.80/1.20 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.80/1.20 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.80/1.20 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.80/1.20 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.80/1.20 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.80/1.20 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.80/1.20 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.80/1.20 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.80/1.20 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.80/1.20 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.80/1.20 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.80/1.20 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.80/1.20 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.80/1.20 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.80/1.20 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.80/1.20 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.80/1.20 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.80/1.20 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.80/1.20 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.80/1.20 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.80/1.20 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.80/1.20 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.80/1.20 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.80/1.20 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.80/1.20 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.80/1.20 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.80/1.20 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.80/1.20 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.80/1.20 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.80/1.20 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.80/1.20 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.80/1.20 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.80/1.20 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.80/1.20 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.80/1.20 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.80/1.20 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.80/1.20 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.80/1.20 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.80/1.20 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.80/1.20 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.80/1.20 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.80/1.20 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.80/1.20 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.80/1.20 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.80/1.20 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.80/1.20 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.80/1.20 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.80/1.20 T, Y ) ) ],
% 0.80/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.80/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.80/1.20 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.80/1.20 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.80/1.20 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.80/1.20 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.80/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.80/1.20 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.80/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.80/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.80/1.20 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.80/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.80/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.80/1.20 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.80/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.80/1.20 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.80/1.20 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.80/1.20 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.80/1.20 W ) ) ],
% 0.80/1.20 [ ssList( sk1 ) ],
% 0.80/1.20 [ ssList( sk2 ) ],
% 0.80/1.20 [ ssList( sk3 ) ],
% 0.80/1.20 [ ssList( sk4 ) ],
% 0.80/1.20 [ =( sk2, sk4 ) ],
% 0.80/1.20 [ =( sk1, sk3 ) ],
% 0.80/1.20 [ neq( sk2, nil ), neq( sk2, nil ) ],
% 0.80/1.20 [ neq( sk2, nil ), ~( neq( sk4, nil ) ) ],
% 0.80/1.20 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( app(
% 0.80/1.20 Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z, cons( X, nil ) ), Y
% 0.80/1.20 ), sk1 ) ), neq( sk2, nil ) ],
% 0.80/1.20 [ ssItem( sk5 ), neq( sk2, nil ) ],
% 0.80/1.20 [ ssList( sk6 ), neq( sk2, nil ) ],
% 0.80/1.20 [ ssList( sk7 ), neq( sk2, nil ) ],
% 0.80/1.20 [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), neq( sk2, nil ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk3 ), neq( sk2, nil ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( app(
% 0.80/1.20 Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z, cons( X, nil ) ), Y
% 0.80/1.20 ), sk1 ) ), ~( neq( sk4, nil ) ) ],
% 0.80/1.20 [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ],
% 0.80/1.20 [ ssList( sk6 ), ~( neq( sk4, nil ) ) ],
% 0.80/1.20 [ ssList( sk7 ), ~( neq( sk4, nil ) ) ],
% 0.80/1.20 [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), ~( neq( sk4, nil )
% 0.80/1.20 ) ],
% 0.80/1.20 [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk3 ), ~( neq( sk4, nil )
% 0.80/1.20 ) ]
% 0.80/1.20 ] .
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20 percentage equality = 0.162119, percentage horn = 0.828283
% 0.80/1.20 This is a problem with some equality
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20 Options Used:
% 0.80/1.20
% 0.80/1.20 useres = 1
% 0.80/1.20 useparamod = 1
% 0.80/1.20 useeqrefl = 1
% 0.80/1.20 useeqfact = 1
% 0.80/1.20 usefactor = 1
% 0.80/1.20 usesimpsplitting = 0
% 0.80/1.20 usesimpdemod = 5
% 0.80/1.20 usesimpres = 3
% 0.80/1.20
% 0.80/1.20 resimpinuse = 1000
% 0.80/1.20 resimpclauses = 20000
% 0.80/1.20 substype = eqrewr
% 0.80/1.20 backwardsubs = 1
% 0.80/1.20 selectoldest = 5
% 4.16/4.56
% 4.16/4.56 litorderings [0] = split
% 4.16/4.56 litorderings [1] = extend the termordering, first sorting on arguments
% 4.16/4.56
% 4.16/4.56 termordering = kbo
% 4.16/4.56
% 4.16/4.56 litapriori = 0
% 4.16/4.56 termapriori = 1
% 4.16/4.56 litaposteriori = 0
% 4.16/4.56 termaposteriori = 0
% 4.16/4.56 demodaposteriori = 0
% 4.16/4.56 ordereqreflfact = 0
% 4.16/4.56
% 4.16/4.56 litselect = negord
% 4.16/4.56
% 4.16/4.56 maxweight = 15
% 4.16/4.56 maxdepth = 30000
% 4.16/4.56 maxlength = 115
% 4.16/4.56 maxnrvars = 195
% 4.16/4.56 excuselevel = 1
% 4.16/4.56 increasemaxweight = 1
% 4.16/4.56
% 4.16/4.56 maxselected = 10000000
% 4.16/4.56 maxnrclauses = 10000000
% 4.16/4.56
% 4.16/4.56 showgenerated = 0
% 4.16/4.56 showkept = 0
% 4.16/4.56 showselected = 0
% 4.16/4.56 showdeleted = 0
% 4.16/4.56 showresimp = 1
% 4.16/4.56 showstatus = 2000
% 4.16/4.56
% 4.16/4.56 prologoutput = 1
% 4.16/4.56 nrgoals = 5000000
% 4.16/4.56 totalproof = 1
% 4.16/4.56
% 4.16/4.56 Symbols occurring in the translation:
% 4.16/4.56
% 4.16/4.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.16/4.56 . [1, 2] (w:1, o:81, a:1, s:1, b:0),
% 4.16/4.56 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 4.16/4.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.16/4.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.16/4.56 nil [39, 0] (w:1, o:18, a:1, s:1, b:0),
% 4.16/4.56 equalelemsP [40, 1] (w:1, o:35, a:1, s:1, b:0),
% 4.16/4.56 duplicatefreeP [41, 1] (w:1, o:34, a:1, s:1, b:0),
% 4.16/4.56 strictorderedP [42, 1] (w:1, o:38, a:1, s:1, b:0),
% 4.16/4.56 totalorderedP [43, 1] (w:1, o:77, a:1, s:1, b:0),
% 4.16/4.56 strictorderP [44, 1] (w:1, o:39, a:1, s:1, b:0),
% 4.16/4.56 totalorderP [45, 1] (w:1, o:78, a:1, s:1, b:0),
% 4.16/4.56 cyclefreeP [46, 1] (w:1, o:33, a:1, s:1, b:0),
% 4.16/4.56 ssList [47, 1] (w:1, o:36, a:1, s:1, b:0),
% 4.16/4.56 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 4.16/4.56 ssItem [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 4.16/4.56 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 4.16/4.56 singletonP [51, 1] (w:1, o:40, a:1, s:1, b:0),
% 4.16/4.56 skaf83 [53, 1] (w:1, o:76, a:1, s:1, b:0),
% 4.16/4.56 skaf82 [54, 1] (w:1, o:75, a:1, s:1, b:0),
% 4.16/4.56 skaf81 [55, 1] (w:1, o:74, a:1, s:1, b:0),
% 4.16/4.56 skaf80 [56, 1] (w:1, o:73, a:1, s:1, b:0),
% 4.16/4.56 skaf79 [57, 1] (w:1, o:72, a:1, s:1, b:0),
% 4.16/4.56 skaf78 [58, 1] (w:1, o:71, a:1, s:1, b:0),
% 4.16/4.56 skaf77 [59, 1] (w:1, o:70, a:1, s:1, b:0),
% 4.16/4.56 skaf76 [60, 1] (w:1, o:69, a:1, s:1, b:0),
% 4.16/4.56 skaf75 [61, 1] (w:1, o:68, a:1, s:1, b:0),
% 4.16/4.56 skaf74 [62, 1] (w:1, o:67, a:1, s:1, b:0),
% 4.16/4.56 skaf73 [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 4.16/4.56 skaf72 [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 4.16/4.56 skaf71 [65, 1] (w:1, o:64, a:1, s:1, b:0),
% 4.16/4.56 skaf70 [66, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.16/4.56 skaf69 [67, 1] (w:1, o:62, a:1, s:1, b:0),
% 4.16/4.56 skaf68 [68, 1] (w:1, o:61, a:1, s:1, b:0),
% 4.16/4.56 skaf67 [69, 1] (w:1, o:60, a:1, s:1, b:0),
% 4.16/4.56 skaf66 [70, 1] (w:1, o:59, a:1, s:1, b:0),
% 4.16/4.56 skaf65 [71, 1] (w:1, o:58, a:1, s:1, b:0),
% 4.16/4.56 skaf64 [72, 1] (w:1, o:57, a:1, s:1, b:0),
% 4.16/4.56 skaf63 [73, 1] (w:1, o:56, a:1, s:1, b:0),
% 4.16/4.56 skaf62 [74, 1] (w:1, o:55, a:1, s:1, b:0),
% 4.16/4.56 skaf61 [75, 1] (w:1, o:54, a:1, s:1, b:0),
% 4.16/4.56 skaf60 [76, 1] (w:1, o:53, a:1, s:1, b:0),
% 4.16/4.56 skaf59 [77, 1] (w:1, o:52, a:1, s:1, b:0),
% 4.16/4.56 skaf58 [78, 1] (w:1, o:51, a:1, s:1, b:0),
% 4.16/4.56 skaf57 [79, 1] (w:1, o:50, a:1, s:1, b:0),
% 4.16/4.56 skaf56 [80, 1] (w:1, o:49, a:1, s:1, b:0),
% 4.16/4.56 skaf55 [81, 1] (w:1, o:48, a:1, s:1, b:0),
% 4.16/4.56 skaf54 [82, 1] (w:1, o:47, a:1, s:1, b:0),
% 4.16/4.56 skaf53 [83, 1] (w:1, o:46, a:1, s:1, b:0),
% 4.16/4.56 skaf52 [84, 1] (w:1, o:45, a:1, s:1, b:0),
% 4.16/4.56 skaf51 [85, 1] (w:1, o:44, a:1, s:1, b:0),
% 4.16/4.56 skaf50 [86, 1] (w:1, o:43, a:1, s:1, b:0),
% 4.16/4.56 skaf49 [87, 1] (w:1, o:41, a:1, s:1, b:0),
% 4.16/4.56 skaf44 [88, 1] (w:1, o:42, a:1, s:1, b:0),
% 4.16/4.56 skaf48 [90, 2] (w:1, o:110, a:1, s:1, b:0),
% 4.16/4.56 skaf47 [91, 2] (w:1, o:109, a:1, s:1, b:0),
% 4.16/4.56 skaf46 [92, 2] (w:1, o:108, a:1, s:1, b:0),
% 4.16/4.56 skaf45 [93, 2] (w:1, o:107, a:1, s:1, b:0),
% 4.16/4.56 skaf43 [94, 2] (w:1, o:112, a:1, s:1, b:0),
% 4.16/4.56 skaf42 [95, 2] (w:1, o:111, a:1, s:1, b:0),
% 4.16/4.56 geq [96, 2] (w:1, o:114, a:1, s:1, b:0),
% 4.16/4.56 segmentP [97, 2] (w:1, o:115, a:1, s:1, b:0),
% 4.16/4.56 rearsegP [98, 2] (w:1, o:106, a:1, s:1, b:0),
% 4.16/4.56 frontsegP [99, 2] (w:1, o:113, a:1, s:1, b:0),
% 4.16/4.56 leq [100, 2] (w:1, o:116, a:1, s:1, b:0),
% 4.16/4.56 lt [101, 2] (w:1, o:117, a:1, s:1, b:0),
% 4.16/4.56 cons [102, 2] (w:1, o:118, a:1, s:1, b:0),
% 4.16/4.56 memberP [103, 2] (w:1, o:119, a:1, s:1, b:0),
% 4.16/4.56 app [104, 2] (w:1, o:120, a:1, s:1, b:0),
% 4.16/4.56 tl [105, 1] (w:1, o:79, a:1, s:1, b:0),
% 4.16/4.56 hd [106, 1] (w:1, o:80, a:1, s:1, b:0),
% 4.16/4.56 neq [107, 2] (w:1, o:121, a:1, s:1, b:0),
% 4.16/4.56 gt [108, 2] (w:1, o:122, a:1, s:1, b:0),
% 4.16/4.56 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.16/4.56 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.16/4.56 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.16/4.56 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 4.16/4.56 sk5 [120, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.16/4.56 sk6 [121, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.16/4.56 sk7 [122, 0] (w:1, o:13, a:1, s:1, b:0).
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Starting Search:
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 4051
% 4.16/4.56 Kept: 2003
% 4.16/4.56 Inuse: 208
% 4.16/4.56 Deleted: 2
% 4.16/4.56 Deletedinuse: 0
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 9216
% 4.16/4.56 Kept: 4810
% 4.16/4.56 Inuse: 294
% 4.16/4.56 Deleted: 2
% 4.16/4.56 Deletedinuse: 0
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 15577
% 4.16/4.56 Kept: 7440
% 4.16/4.56 Inuse: 373
% 4.16/4.56 Deleted: 3
% 4.16/4.56 Deletedinuse: 0
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 21527
% 4.16/4.56 Kept: 9442
% 4.16/4.56 Inuse: 396
% 4.16/4.56 Deleted: 3
% 4.16/4.56 Deletedinuse: 0
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 37767
% 4.16/4.56 Kept: 11471
% 4.16/4.56 Inuse: 443
% 4.16/4.56 Deleted: 5
% 4.16/4.56 Deletedinuse: 2
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 45960
% 4.16/4.56 Kept: 13602
% 4.16/4.56 Inuse: 493
% 4.16/4.56 Deleted: 5
% 4.16/4.56 Deletedinuse: 2
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 57323
% 4.16/4.56 Kept: 15748
% 4.16/4.56 Inuse: 533
% 4.16/4.56 Deleted: 6
% 4.16/4.56 Deletedinuse: 3
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 64505
% 4.16/4.56 Kept: 17769
% 4.16/4.56 Inuse: 571
% 4.16/4.56 Deleted: 6
% 4.16/4.56 Deletedinuse: 3
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 74907
% 4.16/4.56 Kept: 19787
% 4.16/4.56 Inuse: 594
% 4.16/4.56 Deleted: 8
% 4.16/4.56 Deletedinuse: 5
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying clauses:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 85152
% 4.16/4.56 Kept: 21998
% 4.16/4.56 Inuse: 623
% 4.16/4.56 Deleted: 1051
% 4.16/4.56 Deletedinuse: 14
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 96283
% 4.16/4.56 Kept: 24317
% 4.16/4.56 Inuse: 648
% 4.16/4.56 Deleted: 1051
% 4.16/4.56 Deletedinuse: 14
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 114982
% 4.16/4.56 Kept: 26470
% 4.16/4.56 Inuse: 668
% 4.16/4.56 Deleted: 1051
% 4.16/4.56 Deletedinuse: 14
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Intermediate Status:
% 4.16/4.56 Generated: 135078
% 4.16/4.56 Kept: 28619
% 4.16/4.56 Inuse: 693
% 4.16/4.56 Deleted: 1051
% 4.16/4.56 Deletedinuse: 14
% 4.16/4.56
% 4.16/4.56 Resimplifying inuse:
% 4.16/4.56 Done
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 Bliksems!, er is een bewijs:
% 4.16/4.56 % SZS status Unsatisfiable
% 4.16/4.56 % SZS output start Refutation
% 4.16/4.56
% 4.16/4.56 clause( 186, [ =( sk4, sk2 ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 187, [ =( sk3, sk1 ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 188, [ neq( sk2, nil ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 4.16/4.56 app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z, cons( X,
% 4.16/4.56 nil ) ), Y ), sk1 ) ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 190, [ ssItem( sk5 ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 191, [ ssList( sk6 ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 192, [ ssList( sk7 ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 194, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 28883, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.16/4.56 .
% 4.16/4.56 clause( 28908, [] )
% 4.16/4.56 .
% 4.16/4.56
% 4.16/4.56
% 4.16/4.56 % SZS output end Refutation
% 4.16/4.56 found a proof!
% 4.16/4.56
% 4.16/4.56 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.16/4.56
% 4.16/4.56 initialclauses(
% 4.16/4.56 [ clause( 28910, [ equalelemsP( nil ) ] )
% 4.16/4.56 , clause( 28911, [ duplicatefreeP( nil ) ] )
% 4.16/4.56 , clause( 28912, [ strictorderedP( nil ) ] )
% 4.16/4.56 , clause( 28913, [ totalorderedP( nil ) ] )
% 4.16/4.56 , clause( 28914, [ strictorderP( nil ) ] )
% 4.16/4.56 , clause( 28915, [ totalorderP( nil ) ] )
% 4.16/4.56 , clause( 28916, [ cyclefreeP( nil ) ] )
% 4.16/4.56 , clause( 28917, [ ssList( nil ) ] )
% 4.16/4.56 , clause( 28918, [ ssItem( skac3 ) ] )
% 4.16/4.56 , clause( 28919, [ ssItem( skac2 ) ] )
% 4.16/4.56 , clause( 28920, [ ~( singletonP( nil ) ) ] )
% 4.16/4.56 , clause( 28921, [ ssItem( skaf83( X ) ) ] )
% 4.16/4.56 , clause( 28922, [ ssList( skaf82( X ) ) ] )
% 4.16/4.56 , clause( 28923, [ ssList( skaf81( X ) ) ] )
% 4.16/4.56 , clause( 28924, [ ssList( skaf80( X ) ) ] )
% 4.16/4.56 , clause( 28925, [ ssItem( skaf79( X ) ) ] )
% 4.16/4.56 , clause( 28926, [ ssItem( skaf78( X ) ) ] )
% 4.16/4.56 , clause( 28927, [ ssList( skaf77( X ) ) ] )
% 4.16/4.56 , clause( 28928, [ ssList( skaf76( X ) ) ] )
% 4.16/4.56 , clause( 28929, [ ssList( skaf75( X ) ) ] )
% 4.16/4.56 , clause( 28930, [ ssItem( skaf74( X ) ) ] )
% 4.16/4.56 , clause( 28931, [ ssList( skaf73( X ) ) ] )
% 4.16/4.56 , clause( 28932, [ ssList( skaf72( X ) ) ] )
% 4.16/4.56 , clause( 28933, [ ssList( skaf71( X ) ) ] )
% 4.16/4.56 , clause( 28934, [ ssItem( skaf70( X ) ) ] )
% 4.16/4.56 , clause( 28935, [ ssItem( skaf69( X ) ) ] )
% 4.16/4.56 , clause( 28936, [ ssList( skaf68( X ) ) ] )
% 4.16/4.56 , clause( 28937, [ ssList( skaf67( X ) ) ] )
% 4.16/4.56 , clause( 28938, [ ssList( skaf66( X ) ) ] )
% 4.16/4.56 , clause( 28939, [ ssItem( skaf65( X ) ) ] )
% 4.16/4.56 , clause( 28940, [ ssItem( skaf64( X ) ) ] )
% 4.16/4.56 , clause( 28941, [ ssList( skaf63( X ) ) ] )
% 4.16/4.56 , clause( 28942, [ ssList( skaf62( X ) ) ] )
% 4.16/4.56 , clause( 28943, [ ssList( skaf61( X ) ) ] )
% 4.16/4.56 , clause( 28944, [ ssItem( skaf60( X ) ) ] )
% 4.16/4.56 , clause( 28945, [ ssItem( skaf59( X ) ) ] )
% 4.16/4.56 , clause( 28946, [ ssList( skaf58( X ) ) ] )
% 4.16/4.56 , clause( 28947, [ ssList( skaf57( X ) ) ] )
% 4.16/4.56 , clause( 28948, [ ssList( skaf56( X ) ) ] )
% 4.16/4.56 , clause( 28949, [ ssItem( skaf55( X ) ) ] )
% 4.16/4.56 , clause( 28950, [ ssItem( skaf54( X ) ) ] )
% 4.16/4.56 , clause( 28951, [ ssList( skaf53( X ) ) ] )
% 4.16/4.56 , clause( 28952, [ ssList( skaf52( X ) ) ] )
% 4.16/4.56 , clause( 28953, [ ssList( skaf51( X ) ) ] )
% 4.16/4.56 , clause( 28954, [ ssItem( skaf50( X ) ) ] )
% 4.16/4.56 , clause( 28955, [ ssItem( skaf49( X ) ) ] )
% 4.16/4.56 , clause( 28956, [ ssItem( skaf44( X ) ) ] )
% 4.16/4.56 , clause( 28957, [ ssList( skaf48( X, Y ) ) ] )
% 4.16/4.56 , clause( 28958, [ ssList( skaf47( X, Y ) ) ] )
% 4.16/4.56 , clause( 28959, [ ssList( skaf46( X, Y ) ) ] )
% 4.16/4.56 , clause( 28960, [ ssList( skaf45( X, Y ) ) ] )
% 4.16/4.56 , clause( 28961, [ ssList( skaf43( X, Y ) ) ] )
% 4.16/4.56 , clause( 28962, [ ssList( skaf42( X, Y ) ) ] )
% 4.16/4.56 , clause( 28963, [ ~( =( skac3, skac2 ) ) ] )
% 4.16/4.56 , clause( 28964, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 4.16/4.56 , clause( 28965, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 4.16/4.56 , clause( 28966, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.16/4.56 , clause( 28967, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 4.16/4.56 , clause( 28968, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 4.16/4.56 , clause( 28969, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 4.16/4.56 , clause( 28970, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 4.16/4.56 , clause( 28971, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 4.16/4.56 , clause( 28972, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 4.16/4.56 , clause( 28973, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 4.16/4.56 , clause( 28974, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 4.16/4.56 , clause( 28975, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 4.16/4.56 , clause( 28976, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 4.16/4.56 , clause( 28977, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 4.16/4.56 , clause( 28978, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 4.16/4.56 , clause( 28979, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 4.16/4.56 , clause( 28980, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 4.16/4.56 , clause( 28981, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 4.16/4.56 , clause( 28982, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.16/4.56 , clause( 28983, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.16/4.56 , clause( 28984, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.16/4.56 , clause( 28985, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.16/4.56 , clause( 28986, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.16/4.56 , clause( 28987, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.16/4.56 , clause( 28988, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 4.16/4.56 )
% 4.16/4.56 , clause( 28989, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.16/4.56 )
% 4.16/4.56 , clause( 28990, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 4.16/4.56 )
% 4.16/4.56 , clause( 28991, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.16/4.56 )
% 4.16/4.56 , clause( 28992, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 4.16/4.56 ] )
% 4.16/4.56 , clause( 28993, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 4.16/4.56 ] )
% 4.16/4.56 , clause( 28994, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 4.16/4.56 ) ] )
% 4.16/4.56 , clause( 28995, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 4.16/4.56 ) ] )
% 4.16/4.56 , clause( 28996, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 4.16/4.56 skaf49( X ) ) ] )
% 4.16/4.56 , clause( 28997, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 4.16/4.56 skaf50( X ) ) ] )
% 4.16/4.56 , clause( 28998, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 4.16/4.56 equalelemsP( X ) ] )
% 4.16/4.56 , clause( 28999, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 4.16/4.56 strictorderedP( X ) ] )
% 4.16/4.56 , clause( 29000, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 4.16/4.56 totalorderedP( X ) ] )
% 4.16/4.56 , clause( 29001, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 4.16/4.56 strictorderP( X ) ] )
% 4.16/4.56 , clause( 29002, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 4.16/4.56 strictorderP( X ) ] )
% 4.16/4.56 , clause( 29003, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 4.16/4.56 totalorderP( X ) ] )
% 4.16/4.56 , clause( 29004, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 4.16/4.56 totalorderP( X ) ] )
% 4.16/4.56 , clause( 29005, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 4.16/4.56 ), Y ) ] )
% 4.16/4.56 , clause( 29006, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 4.16/4.56 ), X ) ] )
% 4.16/4.56 , clause( 29007, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 4.16/4.56 Y ) ) ] )
% 4.16/4.56 , clause( 29008, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.16/4.56 Y ) ) ] )
% 4.16/4.56 , clause( 29009, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 4.16/4.56 ) ] )
% 4.16/4.56 , clause( 29010, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 4.16/4.56 X ), nil ), X ) ] )
% 4.16/4.56 , clause( 29011, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 4.16/4.56 ) ] )
% 4.16/4.56 , clause( 29012, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 4.16/4.56 X, Y ) ] )
% 4.16/4.56 , clause( 29013, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 4.16/4.56 nil, X ) ] )
% 4.16/4.56 , clause( 29014, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.16/4.56 Y, X ) ] )
% 4.16/4.56 , clause( 29015, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 4.16/4.56 Y, X ) ] )
% 4.16/4.56 , clause( 29016, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 4.16/4.56 leq( Y, X ) ] )
% 4.16/4.56 , clause( 29017, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 4.16/4.56 geq( Y, X ) ] )
% 4.16/4.56 , clause( 29018, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 4.16/4.56 ), =( nil, X ) ] )
% 4.16/4.56 , clause( 29019, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.16/4.56 ssItem( Y ) ) ] )
% 4.16/4.56 , clause( 29020, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.16/4.56 ssItem( X ) ) ] )
% 4.16/4.56 , clause( 29021, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.16/4.56 strictorderedP( cons( Y, X ) ) ] )
% 4.16/4.56 , clause( 29022, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.16/4.56 totalorderedP( cons( Y, X ) ) ] )
% 4.16/4.56 , clause( 29023, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.16/4.56 ssItem( Y ) ) ] )
% 4.16/4.56 , clause( 29024, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 4.16/4.56 ssList( X ) ) ] )
% 4.16/4.56 , clause( 29025, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.16/4.56 Y ) ), singletonP( Y ) ] )
% 4.16/4.56 , clause( 29026, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.16/4.56 ssItem( X ) ) ] )
% 4.16/4.56 , clause( 29027, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.16/4.56 X ) ), =( nil, X ) ] )
% 4.16/4.56 , clause( 29028, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.16/4.56 X ) ), =( nil, Y ) ] )
% 4.16/4.56 , clause( 29029, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 4.16/4.56 ), Y ), cons( X, Y ) ) ] )
% 4.16/4.56 , clause( 29030, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.16/4.56 X, Y ), =( X, Y ) ] )
% 4.16/4.56 , clause( 29031, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.16/4.56 X, Y ), =( X, Y ) ] )
% 4.16/4.56 , clause( 29032, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 4.16/4.56 app( Y, X ) ), hd( Y ) ) ] )
% 4.16/4.56 , clause( 29033, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.16/4.56 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 4.16/4.56 , clause( 29034, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.16/4.56 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 4.16/4.56 , clause( 29035, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 4.16/4.56 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.16/4.56 , clause( 29036, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 4.16/4.56 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.16/4.56 , clause( 29037, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 4.16/4.56 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.16/4.56 , clause( 29038, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 4.16/4.56 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.16/4.56 , clause( 29039, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 4.16/4.56 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.16/4.56 , clause( 29040, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.16/4.56 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 4.16/4.56 , clause( 29041, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.16/4.56 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 4.16/4.56 , clause( 29042, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 4.16/4.56 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 4.16/4.56 , clause( 29043, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.16/4.56 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 4.16/4.56 , clause( 29044, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.16/4.56 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 4.16/4.56 , clause( 29045, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.16/4.56 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 4.16/4.56 , clause( 29046, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.16/4.56 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 4.16/4.56 , clause( 29047, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 4.16/4.56 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 4.16/4.56 , clause( 29048, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 4.16/4.56 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 4.16/4.56 , clause( 29049, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 4.16/4.56 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 4.16/4.56 , clause( 29050, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 4.16/4.56 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 4.16/4.56 , clause( 29051, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 4.16/4.56 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 4.16/4.56 , clause( 29052, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 4.16/4.56 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 4.16/4.56 , clause( 29053, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.16/4.56 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 4.16/4.56 , clause( 29054, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 4.16/4.56 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.16/4.56 , clause( 29055, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.16/4.56 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 4.16/4.56 , clause( 29056, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.16/4.56 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.16/4.56 , clause( 29057, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.16/4.56 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 4.16/4.56 , clause( 29058, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.16/4.56 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 4.16/4.56 , clause( 29059, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 4.16/4.56 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.16/4.56 , clause( 29060, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 4.16/4.56 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 4.16/4.56 , clause( 29061, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 4.16/4.56 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 4.16/4.56 , clause( 29062, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 4.16/4.56 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 4.16/4.56 , clause( 29063, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 4.16/4.56 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 4.16/4.56 , clause( 29064, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.16/4.56 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.16/4.56 , clause( 29065, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.16/4.56 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 4.16/4.56 , clause( 29066, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.16/4.56 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 4.16/4.56 , clause( 29067, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.16/4.56 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 4.16/4.56 , clause( 29068, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 4.16/4.56 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 4.16/4.56 ) ] )
% 4.16/4.56 , clause( 29069, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 4.16/4.56 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 4.16/4.56 Y ) ] )
% 4.16/4.56 , clause( 29070, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.16/4.56 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 4.16/4.56 , clause( 29071, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 4.16/4.56 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 4.16/4.56 skaf77( X ) ) ), X ) ] )
% 4.16/4.56 , clause( 29072, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 4.16/4.56 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 4.16/4.56 skaf73( X ) ) ), X ) ] )
% 4.16/4.56 , clause( 29073, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 4.16/4.56 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 4.16/4.56 skaf68( X ) ) ), X ) ] )
% 4.16/4.56 , clause( 29074, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 4.16/4.56 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 4.16/4.56 ), X ) ] )
% 4.16/4.56 , clause( 29075, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 4.16/4.56 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 4.16/4.56 ), X ) ] )
% 4.16/4.56 , clause( 29076, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 4.16/4.56 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 4.16/4.56 ), X ) ] )
% 4.16/4.56 , clause( 29077, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.16/4.56 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 4.16/4.56 , clause( 29078, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 4.16/4.56 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 4.16/4.56 , clause( 29079, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.16/4.56 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 4.16/4.56 , clause( 29080, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.16/4.56 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 4.16/4.56 , clause( 29081, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 4.16/4.56 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 4.16/4.56 Y ) ] )
% 4.16/4.56 , clause( 29082, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 4.16/4.56 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 4.16/4.56 )
% 4.16/4.56 , clause( 29083, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.16/4.56 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 4.16/4.56 , T ) ] )
% 4.16/4.56 , clause( 29084, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 4.16/4.56 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 4.16/4.56 )
% 4.16/4.56 , clause( 29085, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.16/4.56 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 4.16/4.56 )
% 4.16/4.56 , clause( 29086, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 4.16/4.56 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 4.16/4.56 )
% 4.16/4.56 , clause( 29087, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 4.16/4.56 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 4.16/4.56 Z, X ), cons( T, Y ) ) ] )
% 4.16/4.56 , clause( 29088, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 4.16/4.56 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 4.16/4.56 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 4.16/4.56 , clause( 29089, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 4.16/4.56 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 4.16/4.56 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 4.16/4.56 , clause( 29090, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.16/4.56 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.16/4.56 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 4.16/4.56 ) ] )
% 4.16/4.56 , clause( 29091, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.16/4.56 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.16/4.56 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 4.16/4.56 ) ] )
% 4.16/4.56 , clause( 29092, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.16/4.56 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.16/4.56 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 4.22/4.58 , lt( T, Y ) ] )
% 4.22/4.58 , clause( 29093, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.22/4.58 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.22/4.58 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 4.22/4.58 , leq( T, Y ) ] )
% 4.22/4.58 , clause( 29094, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 4.22/4.58 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 4.22/4.58 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 4.22/4.58 ) ), ~( ssList( W ) ) ] )
% 4.22/4.58 , clause( 29095, [ ssList( sk1 ) ] )
% 4.22/4.58 , clause( 29096, [ ssList( sk2 ) ] )
% 4.22/4.58 , clause( 29097, [ ssList( sk3 ) ] )
% 4.22/4.58 , clause( 29098, [ ssList( sk4 ) ] )
% 4.22/4.58 , clause( 29099, [ =( sk2, sk4 ) ] )
% 4.22/4.58 , clause( 29100, [ =( sk1, sk3 ) ] )
% 4.22/4.58 , clause( 29101, [ neq( sk2, nil ), neq( sk2, nil ) ] )
% 4.22/4.58 , clause( 29102, [ neq( sk2, nil ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.58 , clause( 29103, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.22/4.58 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z,
% 4.22/4.58 cons( X, nil ) ), Y ), sk1 ) ), neq( sk2, nil ) ] )
% 4.22/4.58 , clause( 29104, [ ssItem( sk5 ), neq( sk2, nil ) ] )
% 4.22/4.58 , clause( 29105, [ ssList( sk6 ), neq( sk2, nil ) ] )
% 4.22/4.58 , clause( 29106, [ ssList( sk7 ), neq( sk2, nil ) ] )
% 4.22/4.58 , clause( 29107, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), neq(
% 4.22/4.58 sk2, nil ) ] )
% 4.22/4.58 , clause( 29108, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk3 ), neq(
% 4.22/4.58 sk2, nil ) ] )
% 4.22/4.58 , clause( 29109, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.22/4.58 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z,
% 4.22/4.58 cons( X, nil ) ), Y ), sk1 ) ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.58 , clause( 29110, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.58 , clause( 29111, [ ssList( sk6 ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.58 , clause( 29112, [ ssList( sk7 ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.58 , clause( 29113, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), ~(
% 4.22/4.58 neq( sk4, nil ) ) ] )
% 4.22/4.58 , clause( 29114, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk3 ), ~(
% 4.22/4.58 neq( sk4, nil ) ) ] )
% 4.22/4.58 ] ).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 eqswap(
% 4.22/4.58 clause( 29872, [ =( sk4, sk2 ) ] )
% 4.22/4.58 , clause( 29099, [ =( sk2, sk4 ) ] )
% 4.22/4.58 , 0, substitution( 0, [] )).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 subsumption(
% 4.22/4.58 clause( 186, [ =( sk4, sk2 ) ] )
% 4.22/4.58 , clause( 29872, [ =( sk4, sk2 ) ] )
% 4.22/4.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 eqswap(
% 4.22/4.58 clause( 30631, [ =( sk3, sk1 ) ] )
% 4.22/4.58 , clause( 29100, [ =( sk1, sk3 ) ] )
% 4.22/4.58 , 0, substitution( 0, [] )).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 subsumption(
% 4.22/4.58 clause( 187, [ =( sk3, sk1 ) ] )
% 4.22/4.58 , clause( 30631, [ =( sk3, sk1 ) ] )
% 4.22/4.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 factor(
% 4.22/4.58 clause( 31397, [ neq( sk2, nil ) ] )
% 4.22/4.58 , clause( 29101, [ neq( sk2, nil ), neq( sk2, nil ) ] )
% 4.22/4.58 , 0, 1, substitution( 0, [] )).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 subsumption(
% 4.22/4.58 clause( 188, [ neq( sk2, nil ) ] )
% 4.22/4.58 , clause( 31397, [ neq( sk2, nil ) ] )
% 4.22/4.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 paramod(
% 4.22/4.58 clause( 32392, [ ~( neq( sk2, nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 4.22/4.58 ~( ssList( Z ) ), ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~(
% 4.22/4.58 =( app( app( Z, cons( X, nil ) ), Y ), sk1 ) ) ] )
% 4.22/4.58 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.22/4.58 , 0, clause( 29109, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) )
% 4.22/4.58 , ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z,
% 4.22/4.58 cons( X, nil ) ), Y ), sk1 ) ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.58 , 5, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 4.22/4.58 :=( Z, Z )] )).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 resolution(
% 4.22/4.58 clause( 32398, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~(
% 4.22/4.58 =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z, cons(
% 4.22/4.58 X, nil ) ), Y ), sk1 ) ) ] )
% 4.22/4.58 , clause( 32392, [ ~( neq( sk2, nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) )
% 4.22/4.58 , ~( ssList( Z ) ), ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ),
% 4.22/4.58 ~( =( app( app( Z, cons( X, nil ) ), Y ), sk1 ) ) ] )
% 4.22/4.58 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.22/4.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.22/4.58 substitution( 1, [] )).
% 4.22/4.58
% 4.22/4.58
% 4.22/4.58 subsumption(
% 4.22/4.58 clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 4.22/4.58 app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z, cons( X,
% 4.22/4.61 nil ) ), Y ), sk1 ) ) ] )
% 4.22/4.61 , clause( 32398, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.22/4.61 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z,
% 4.22/4.61 cons( X, nil ) ), Y ), sk1 ) ) ] )
% 4.22/4.61 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.22/4.61 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.22/4.61 ==>( 4, 4 )] ) ).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 paramod(
% 4.22/4.61 clause( 33472, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 4.22/4.61 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.22/4.61 , 0, clause( 29110, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.61 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 33473, [ ssItem( sk5 ) ] )
% 4.22/4.61 , clause( 33472, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 4.22/4.61 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.22/4.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 subsumption(
% 4.22/4.61 clause( 190, [ ssItem( sk5 ) ] )
% 4.22/4.61 , clause( 33473, [ ssItem( sk5 ) ] )
% 4.22/4.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 paramod(
% 4.22/4.61 clause( 34543, [ ~( neq( sk2, nil ) ), ssList( sk6 ) ] )
% 4.22/4.61 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.22/4.61 , 0, clause( 29111, [ ssList( sk6 ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.61 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 34544, [ ssList( sk6 ) ] )
% 4.22/4.61 , clause( 34543, [ ~( neq( sk2, nil ) ), ssList( sk6 ) ] )
% 4.22/4.61 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.22/4.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 subsumption(
% 4.22/4.61 clause( 191, [ ssList( sk6 ) ] )
% 4.22/4.61 , clause( 34544, [ ssList( sk6 ) ] )
% 4.22/4.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 paramod(
% 4.22/4.61 clause( 35617, [ ~( neq( sk2, nil ) ), ssList( sk7 ) ] )
% 4.22/4.61 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.22/4.61 , 0, clause( 29112, [ ssList( sk7 ), ~( neq( sk4, nil ) ) ] )
% 4.22/4.61 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 35618, [ ssList( sk7 ) ] )
% 4.22/4.61 , clause( 35617, [ ~( neq( sk2, nil ) ), ssList( sk7 ) ] )
% 4.22/4.61 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.22/4.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 subsumption(
% 4.22/4.61 clause( 192, [ ssList( sk7 ) ] )
% 4.22/4.61 , clause( 35618, [ ssList( sk7 ) ] )
% 4.22/4.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 paramod(
% 4.22/4.61 clause( 36832, [ ~( neq( sk2, nil ) ), =( app( app( sk6, cons( sk5, nil ) )
% 4.22/4.61 , sk7 ), sk4 ) ] )
% 4.22/4.61 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.22/4.61 , 0, clause( 29113, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ),
% 4.22/4.61 ~( neq( sk4, nil ) ) ] )
% 4.22/4.61 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 paramod(
% 4.22/4.61 clause( 36834, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ), ~( neq(
% 4.22/4.61 sk2, nil ) ) ] )
% 4.22/4.61 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.22/4.61 , 0, clause( 36832, [ ~( neq( sk2, nil ) ), =( app( app( sk6, cons( sk5,
% 4.22/4.61 nil ) ), sk7 ), sk4 ) ] )
% 4.22/4.61 , 1, 8, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 36835, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.22/4.61 , clause( 36834, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ), ~(
% 4.22/4.61 neq( sk2, nil ) ) ] )
% 4.22/4.61 , 1, clause( 188, [ neq( sk2, nil ) ] )
% 4.22/4.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 subsumption(
% 4.22/4.61 clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.22/4.61 , clause( 36835, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.22/4.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 paramod(
% 4.22/4.61 clause( 38036, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ), ~( neq(
% 4.22/4.61 sk4, nil ) ) ] )
% 4.22/4.61 , clause( 187, [ =( sk3, sk1 ) ] )
% 4.22/4.61 , 0, clause( 29114, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk3 ),
% 4.22/4.61 ~( neq( sk4, nil ) ) ] )
% 4.22/4.61 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 paramod(
% 4.22/4.61 clause( 38037, [ ~( neq( sk2, nil ) ), =( app( app( sk7, cons( sk5, nil ) )
% 4.22/4.61 , sk6 ), sk1 ) ] )
% 4.22/4.61 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.22/4.61 , 0, clause( 38036, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ),
% 4.22/4.61 ~( neq( sk4, nil ) ) ] )
% 4.22/4.61 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 38038, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ) ] )
% 4.22/4.61 , clause( 38037, [ ~( neq( sk2, nil ) ), =( app( app( sk7, cons( sk5, nil )
% 4.22/4.61 ), sk6 ), sk1 ) ] )
% 4.22/4.61 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.22/4.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 subsumption(
% 4.22/4.61 clause( 194, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ) ] )
% 4.22/4.61 , clause( 38038, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ) ] )
% 4.22/4.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 eqswap(
% 4.22/4.61 clause( 38040, [ =( sk2, app( app( sk6, cons( sk5, nil ) ), sk7 ) ) ] )
% 4.22/4.61 , clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.22/4.61 , 0, substitution( 0, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 eqswap(
% 4.22/4.61 clause( 38041, [ ~( =( sk2, app( app( X, cons( Y, nil ) ), Z ) ) ), ~(
% 4.22/4.61 ssItem( Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( =( app( app( Z,
% 4.22/4.61 cons( Y, nil ) ), X ), sk1 ) ) ] )
% 4.22/4.61 , clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~(
% 4.22/4.61 =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( app( Z, cons(
% 4.22/4.61 X, nil ) ), Y ), sk1 ) ) ] )
% 4.22/4.61 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 38045, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 ) )
% 4.22/4.61 , ~( =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ) ) ] )
% 4.22/4.61 , clause( 38041, [ ~( =( sk2, app( app( X, cons( Y, nil ) ), Z ) ) ), ~(
% 4.22/4.61 ssItem( Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( =( app( app( Z,
% 4.22/4.61 cons( Y, nil ) ), X ), sk1 ) ) ] )
% 4.22/4.61 , 0, clause( 38040, [ =( sk2, app( app( sk6, cons( sk5, nil ) ), sk7 ) ) ]
% 4.22/4.61 )
% 4.22/4.61 , 0, substitution( 0, [ :=( X, sk6 ), :=( Y, sk5 ), :=( Z, sk7 )] ),
% 4.22/4.61 substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 paramod(
% 4.22/4.61 clause( 38046, [ ~( =( sk1, sk1 ) ), ~( ssItem( sk5 ) ), ~( ssList( sk6 ) )
% 4.22/4.61 , ~( ssList( sk7 ) ) ] )
% 4.22/4.61 , clause( 194, [ =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ) ] )
% 4.22/4.61 , 0, clause( 38045, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList(
% 4.22/4.61 sk7 ) ), ~( =( app( app( sk7, cons( sk5, nil ) ), sk6 ), sk1 ) ) ] )
% 4.22/4.61 , 3, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 eqrefl(
% 4.22/4.61 clause( 38047, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 ) )
% 4.22/4.61 ] )
% 4.22/4.61 , clause( 38046, [ ~( =( sk1, sk1 ) ), ~( ssItem( sk5 ) ), ~( ssList( sk6 )
% 4.22/4.61 ), ~( ssList( sk7 ) ) ] )
% 4.22/4.61 , 0, substitution( 0, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 38048, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.22/4.61 , clause( 38047, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 )
% 4.22/4.61 ) ] )
% 4.22/4.61 , 0, clause( 190, [ ssItem( sk5 ) ] )
% 4.22/4.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 subsumption(
% 4.22/4.61 clause( 28883, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.22/4.61 , clause( 38048, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.22/4.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.22/4.61 ).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 38049, [ ~( ssList( sk7 ) ) ] )
% 4.22/4.61 , clause( 28883, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.22/4.61 , 0, clause( 191, [ ssList( sk6 ) ] )
% 4.22/4.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 resolution(
% 4.22/4.61 clause( 38050, [] )
% 4.22/4.61 , clause( 38049, [ ~( ssList( sk7 ) ) ] )
% 4.22/4.61 , 0, clause( 192, [ ssList( sk7 ) ] )
% 4.22/4.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 subsumption(
% 4.22/4.61 clause( 28908, [] )
% 4.22/4.61 , clause( 38050, [] )
% 4.22/4.61 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 end.
% 4.22/4.61
% 4.22/4.61 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.22/4.61
% 4.22/4.61 Memory use:
% 4.22/4.61
% 4.22/4.61 space for terms: 581657
% 4.22/4.61 space for clauses: 1372857
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 clauses generated: 136906
% 4.22/4.61 clauses kept: 28909
% 4.22/4.61 clauses selected: 703
% 4.22/4.61 clauses deleted: 1052
% 4.22/4.61 clauses inuse deleted: 14
% 4.22/4.61
% 4.22/4.61 subsentry: 335296
% 4.22/4.61 literals s-matched: 183163
% 4.22/4.61 literals matched: 119186
% 4.22/4.61 full subsumption: 72681
% 4.22/4.61
% 4.22/4.61 checksum: 485623107
% 4.22/4.61
% 4.22/4.61
% 4.22/4.61 Bliksem ended
%------------------------------------------------------------------------------