TSTP Solution File: SWC010-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC010-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:32:56 EDT 2022
% Result : Unsatisfiable 4.09s 4.46s
% Output : Refutation 4.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC010-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jun 12 07:49:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13 [
% 0.74/1.13 [ equalelemsP( nil ) ],
% 0.74/1.13 [ duplicatefreeP( nil ) ],
% 0.74/1.13 [ strictorderedP( nil ) ],
% 0.74/1.13 [ totalorderedP( nil ) ],
% 0.74/1.13 [ strictorderP( nil ) ],
% 0.74/1.13 [ totalorderP( nil ) ],
% 0.74/1.13 [ cyclefreeP( nil ) ],
% 0.74/1.13 [ ssList( nil ) ],
% 0.74/1.13 [ ssItem( skac3 ) ],
% 0.74/1.13 [ ssItem( skac2 ) ],
% 0.74/1.13 [ ~( singletonP( nil ) ) ],
% 0.74/1.13 [ ssItem( skaf83( X ) ) ],
% 0.74/1.13 [ ssList( skaf82( X ) ) ],
% 0.74/1.13 [ ssList( skaf81( X ) ) ],
% 0.74/1.13 [ ssList( skaf80( X ) ) ],
% 0.74/1.13 [ ssItem( skaf79( X ) ) ],
% 0.74/1.13 [ ssItem( skaf78( X ) ) ],
% 0.74/1.13 [ ssList( skaf77( X ) ) ],
% 0.74/1.13 [ ssList( skaf76( X ) ) ],
% 0.74/1.13 [ ssList( skaf75( X ) ) ],
% 0.74/1.13 [ ssItem( skaf74( X ) ) ],
% 0.74/1.13 [ ssList( skaf73( X ) ) ],
% 0.74/1.13 [ ssList( skaf72( X ) ) ],
% 0.74/1.13 [ ssList( skaf71( X ) ) ],
% 0.74/1.13 [ ssItem( skaf70( X ) ) ],
% 0.74/1.13 [ ssItem( skaf69( X ) ) ],
% 0.74/1.13 [ ssList( skaf68( X ) ) ],
% 0.74/1.13 [ ssList( skaf67( X ) ) ],
% 0.74/1.13 [ ssList( skaf66( X ) ) ],
% 0.74/1.13 [ ssItem( skaf65( X ) ) ],
% 0.74/1.13 [ ssItem( skaf64( X ) ) ],
% 0.74/1.13 [ ssList( skaf63( X ) ) ],
% 0.74/1.13 [ ssList( skaf62( X ) ) ],
% 0.74/1.13 [ ssList( skaf61( X ) ) ],
% 0.74/1.13 [ ssItem( skaf60( X ) ) ],
% 0.74/1.13 [ ssItem( skaf59( X ) ) ],
% 0.74/1.13 [ ssList( skaf58( X ) ) ],
% 0.74/1.13 [ ssList( skaf57( X ) ) ],
% 0.74/1.13 [ ssList( skaf56( X ) ) ],
% 0.74/1.13 [ ssItem( skaf55( X ) ) ],
% 0.74/1.13 [ ssItem( skaf54( X ) ) ],
% 0.74/1.13 [ ssList( skaf53( X ) ) ],
% 0.74/1.13 [ ssList( skaf52( X ) ) ],
% 0.74/1.13 [ ssList( skaf51( X ) ) ],
% 0.74/1.13 [ ssItem( skaf50( X ) ) ],
% 0.74/1.13 [ ssItem( skaf49( X ) ) ],
% 0.74/1.13 [ ssItem( skaf44( X ) ) ],
% 0.74/1.13 [ ssList( skaf48( X, Y ) ) ],
% 0.74/1.13 [ ssList( skaf47( X, Y ) ) ],
% 0.74/1.13 [ ssList( skaf46( X, Y ) ) ],
% 0.74/1.13 [ ssList( skaf45( X, Y ) ) ],
% 0.74/1.13 [ ssList( skaf43( X, Y ) ) ],
% 0.74/1.13 [ ssList( skaf42( X, Y ) ) ],
% 0.74/1.13 [ ~( =( skac3, skac2 ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.74/1.13 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.74/1.13 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.74/1.13 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.74/1.13 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.74/1.13 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.74/1.13 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.74/1.13 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.74/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.74/1.13 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.74/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.74/1.13 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.74/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.74/1.13 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.74/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.74/1.13 ],
% 0.74/1.13 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.74/1.13 X ) ],
% 0.74/1.13 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.74/1.13 X ) ],
% 0.74/1.13 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.74/1.13 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.74/1.13 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.74/1.13 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.74/1.13 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.74/1.13 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.74/1.13 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.74/1.13 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.74/1.13 cons( Y, X ) ) ],
% 0.74/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.74/1.13 cons( Y, X ) ) ],
% 0.74/1.13 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.74/1.13 singletonP( Y ) ],
% 0.74/1.13 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.74/1.13 , X ) ],
% 0.74/1.13 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.74/1.13 , Y ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.74/1.13 X, Y ) ) ],
% 0.74/1.13 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.74/1.13 , Y ) ],
% 0.74/1.13 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.74/1.13 , Y ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.74/1.13 , hd( Y ) ) ],
% 0.74/1.13 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.74/1.13 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.74/1.13 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.74/1.13 , totalorderedP( Y ), =( nil, Y ) ],
% 0.74/1.13 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.74/1.13 , =( Y, X ) ],
% 0.74/1.13 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.74/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.74/1.13 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.74/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.74/1.13 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.74/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.74/1.13 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.74/1.13 , =( Y, X ) ],
% 0.74/1.13 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.74/1.13 skaf46( X, Y ), Y ), X ) ],
% 0.74/1.13 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.74/1.13 , skaf45( X, Y ) ), X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.74/1.13 , app( tl( Y ), X ) ) ],
% 0.74/1.13 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.74/1.13 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.74/1.13 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.74/1.13 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.74/1.13 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.74/1.13 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.74/1.13 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.74/1.13 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.74/1.13 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.74/1.13 memberP( cons( Y, Z ), X ) ],
% 0.74/1.13 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.74/1.13 ) ), memberP( cons( Z, X ), Y ) ],
% 0.74/1.13 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.74/1.13 ) ), memberP( app( X, Z ), Y ) ],
% 0.74/1.13 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.74/1.13 ) ), memberP( app( Z, X ), Y ) ],
% 0.74/1.13 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.74/1.13 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.74/1.13 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.74/1.13 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.74/1.13 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.74/1.13 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.74/1.13 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.74/1.13 , =( app( X, Y ), nil ) ],
% 0.74/1.13 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.74/1.13 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.74/1.13 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.74/1.13 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.74/1.13 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.74/1.13 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.74/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.74/1.13 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.74/1.13 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.74/1.13 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.74/1.13 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.74/1.13 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.74/1.13 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.74/1.13 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.74/1.13 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.74/1.13 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.74/1.13 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.74/1.13 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.74/1.13 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.74/1.13 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.74/1.13 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.74/1.13 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.74/1.13 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.74/1.13 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.74/1.13 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.74/1.13 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.74/1.13 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.74/1.13 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.74/1.13 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.74/1.13 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.74/1.13 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.74/1.13 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.74/1.13 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.74/1.13 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.74/1.13 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.74/1.13 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.74/1.13 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.74/1.13 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.74/1.13 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.74/1.13 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.74/1.13 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.74/1.13 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.74/1.13 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.74/1.13 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.74/1.13 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.74/1.13 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.74/1.13 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.74/1.13 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.74/1.13 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.74/1.13 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.74/1.13 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.74/1.13 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.74/1.13 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.74/1.13 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.74/1.13 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.74/1.13 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.74/1.13 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.74/1.13 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.74/1.13 T, Y ) ) ],
% 0.74/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.74/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.74/1.13 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.74/1.13 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.74/1.13 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.74/1.13 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.74/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.74/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.74/1.13 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.74/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.74/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.74/1.13 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.74/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.74/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.74/1.13 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.74/1.13 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.74/1.13 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.74/1.13 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.74/1.13 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.74/1.13 W ) ) ],
% 0.74/1.13 [ ssList( sk1 ) ],
% 0.74/1.13 [ ssList( sk2 ) ],
% 0.74/1.13 [ ssList( sk3 ) ],
% 0.74/1.13 [ ssList( sk4 ) ],
% 0.74/1.13 [ =( sk2, sk4 ) ],
% 0.74/1.13 [ =( sk1, sk3 ) ],
% 0.74/1.13 [ neq( sk2, nil ), neq( sk2, nil ) ],
% 0.74/1.13 [ neq( sk2, nil ), ~( neq( sk4, nil ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( app(
% 0.74/1.13 Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 ) ), neq( sk2,
% 0.74/1.13 nil ) ],
% 0.74/1.13 [ ssItem( sk5 ), neq( sk2, nil ) ],
% 0.74/1.13 [ ssList( sk6 ), neq( sk2, nil ) ],
% 0.74/1.13 [ ssList( sk7 ), neq( sk2, nil ) ],
% 0.74/1.13 [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), neq( sk2, nil ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ =( app( sk6, sk7 ), sk3 ), neq( sk2, nil ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), =( sk5, X ), ~( memberP( sk4, X ) ), ~( geq( X, sk5
% 0.74/1.13 ) ), neq( sk2, nil ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( app(
% 0.74/1.13 Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 ) ), ~( neq(
% 0.74/1.13 sk4, nil ) ) ],
% 0.74/1.13 [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ],
% 0.74/1.13 [ ssList( sk6 ), ~( neq( sk4, nil ) ) ],
% 0.74/1.13 [ ssList( sk7 ), ~( neq( sk4, nil ) ) ],
% 0.74/1.13 [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), ~( neq( sk4, nil )
% 0.74/1.13 ) ],
% 0.74/1.13 [ =( app( sk6, sk7 ), sk3 ), ~( neq( sk4, nil ) ) ],
% 0.74/1.13 [ ~( ssItem( X ) ), =( sk5, X ), ~( memberP( sk4, X ) ), ~( geq( X, sk5
% 0.74/1.13 ) ), ~( neq( sk4, nil ) ) ]
% 0.74/1.13 ] .
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 percentage equality = 0.162420, percentage horn = 0.829146
% 0.74/1.13 This is a problem with some equality
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Options Used:
% 0.74/1.13
% 0.74/1.13 useres = 1
% 0.74/1.13 useparamod = 1
% 0.74/1.13 useeqrefl = 1
% 0.74/1.13 useeqfact = 1
% 0.74/1.13 usefactor = 1
% 0.74/1.13 usesimpsplitting = 0
% 0.74/1.13 usesimpdemod = 5
% 0.74/1.13 usesimpres = 3
% 0.74/1.13
% 0.74/1.13 resimpinuse = 1000
% 4.09/4.46 resimpclauses = 20000
% 4.09/4.46 substype = eqrewr
% 4.09/4.46 backwardsubs = 1
% 4.09/4.46 selectoldest = 5
% 4.09/4.46
% 4.09/4.46 litorderings [0] = split
% 4.09/4.46 litorderings [1] = extend the termordering, first sorting on arguments
% 4.09/4.46
% 4.09/4.46 termordering = kbo
% 4.09/4.46
% 4.09/4.46 litapriori = 0
% 4.09/4.46 termapriori = 1
% 4.09/4.46 litaposteriori = 0
% 4.09/4.46 termaposteriori = 0
% 4.09/4.46 demodaposteriori = 0
% 4.09/4.46 ordereqreflfact = 0
% 4.09/4.46
% 4.09/4.46 litselect = negord
% 4.09/4.46
% 4.09/4.46 maxweight = 15
% 4.09/4.46 maxdepth = 30000
% 4.09/4.46 maxlength = 115
% 4.09/4.46 maxnrvars = 195
% 4.09/4.46 excuselevel = 1
% 4.09/4.46 increasemaxweight = 1
% 4.09/4.46
% 4.09/4.46 maxselected = 10000000
% 4.09/4.46 maxnrclauses = 10000000
% 4.09/4.46
% 4.09/4.46 showgenerated = 0
% 4.09/4.46 showkept = 0
% 4.09/4.46 showselected = 0
% 4.09/4.46 showdeleted = 0
% 4.09/4.46 showresimp = 1
% 4.09/4.46 showstatus = 2000
% 4.09/4.46
% 4.09/4.46 prologoutput = 1
% 4.09/4.46 nrgoals = 5000000
% 4.09/4.46 totalproof = 1
% 4.09/4.46
% 4.09/4.46 Symbols occurring in the translation:
% 4.09/4.46
% 4.09/4.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.09/4.46 . [1, 2] (w:1, o:81, a:1, s:1, b:0),
% 4.09/4.46 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 4.09/4.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.09/4.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.09/4.46 nil [39, 0] (w:1, o:18, a:1, s:1, b:0),
% 4.09/4.46 equalelemsP [40, 1] (w:1, o:35, a:1, s:1, b:0),
% 4.09/4.46 duplicatefreeP [41, 1] (w:1, o:34, a:1, s:1, b:0),
% 4.09/4.46 strictorderedP [42, 1] (w:1, o:38, a:1, s:1, b:0),
% 4.09/4.46 totalorderedP [43, 1] (w:1, o:77, a:1, s:1, b:0),
% 4.09/4.46 strictorderP [44, 1] (w:1, o:39, a:1, s:1, b:0),
% 4.09/4.46 totalorderP [45, 1] (w:1, o:78, a:1, s:1, b:0),
% 4.09/4.46 cyclefreeP [46, 1] (w:1, o:33, a:1, s:1, b:0),
% 4.09/4.46 ssList [47, 1] (w:1, o:36, a:1, s:1, b:0),
% 4.09/4.46 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 4.09/4.46 ssItem [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 4.09/4.46 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 4.09/4.46 singletonP [51, 1] (w:1, o:40, a:1, s:1, b:0),
% 4.09/4.46 skaf83 [53, 1] (w:1, o:76, a:1, s:1, b:0),
% 4.09/4.46 skaf82 [54, 1] (w:1, o:75, a:1, s:1, b:0),
% 4.09/4.46 skaf81 [55, 1] (w:1, o:74, a:1, s:1, b:0),
% 4.09/4.46 skaf80 [56, 1] (w:1, o:73, a:1, s:1, b:0),
% 4.09/4.46 skaf79 [57, 1] (w:1, o:72, a:1, s:1, b:0),
% 4.09/4.46 skaf78 [58, 1] (w:1, o:71, a:1, s:1, b:0),
% 4.09/4.46 skaf77 [59, 1] (w:1, o:70, a:1, s:1, b:0),
% 4.09/4.46 skaf76 [60, 1] (w:1, o:69, a:1, s:1, b:0),
% 4.09/4.46 skaf75 [61, 1] (w:1, o:68, a:1, s:1, b:0),
% 4.09/4.46 skaf74 [62, 1] (w:1, o:67, a:1, s:1, b:0),
% 4.09/4.46 skaf73 [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 4.09/4.46 skaf72 [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 4.09/4.46 skaf71 [65, 1] (w:1, o:64, a:1, s:1, b:0),
% 4.09/4.46 skaf70 [66, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.09/4.46 skaf69 [67, 1] (w:1, o:62, a:1, s:1, b:0),
% 4.09/4.46 skaf68 [68, 1] (w:1, o:61, a:1, s:1, b:0),
% 4.09/4.46 skaf67 [69, 1] (w:1, o:60, a:1, s:1, b:0),
% 4.09/4.46 skaf66 [70, 1] (w:1, o:59, a:1, s:1, b:0),
% 4.09/4.46 skaf65 [71, 1] (w:1, o:58, a:1, s:1, b:0),
% 4.09/4.46 skaf64 [72, 1] (w:1, o:57, a:1, s:1, b:0),
% 4.09/4.46 skaf63 [73, 1] (w:1, o:56, a:1, s:1, b:0),
% 4.09/4.46 skaf62 [74, 1] (w:1, o:55, a:1, s:1, b:0),
% 4.09/4.46 skaf61 [75, 1] (w:1, o:54, a:1, s:1, b:0),
% 4.09/4.46 skaf60 [76, 1] (w:1, o:53, a:1, s:1, b:0),
% 4.09/4.46 skaf59 [77, 1] (w:1, o:52, a:1, s:1, b:0),
% 4.09/4.46 skaf58 [78, 1] (w:1, o:51, a:1, s:1, b:0),
% 4.09/4.46 skaf57 [79, 1] (w:1, o:50, a:1, s:1, b:0),
% 4.09/4.46 skaf56 [80, 1] (w:1, o:49, a:1, s:1, b:0),
% 4.09/4.46 skaf55 [81, 1] (w:1, o:48, a:1, s:1, b:0),
% 4.09/4.46 skaf54 [82, 1] (w:1, o:47, a:1, s:1, b:0),
% 4.09/4.46 skaf53 [83, 1] (w:1, o:46, a:1, s:1, b:0),
% 4.09/4.46 skaf52 [84, 1] (w:1, o:45, a:1, s:1, b:0),
% 4.09/4.46 skaf51 [85, 1] (w:1, o:44, a:1, s:1, b:0),
% 4.09/4.46 skaf50 [86, 1] (w:1, o:43, a:1, s:1, b:0),
% 4.09/4.46 skaf49 [87, 1] (w:1, o:41, a:1, s:1, b:0),
% 4.09/4.46 skaf44 [88, 1] (w:1, o:42, a:1, s:1, b:0),
% 4.09/4.46 skaf48 [90, 2] (w:1, o:110, a:1, s:1, b:0),
% 4.09/4.46 skaf47 [91, 2] (w:1, o:109, a:1, s:1, b:0),
% 4.09/4.46 skaf46 [92, 2] (w:1, o:108, a:1, s:1, b:0),
% 4.09/4.46 skaf45 [93, 2] (w:1, o:107, a:1, s:1, b:0),
% 4.09/4.46 skaf43 [94, 2] (w:1, o:112, a:1, s:1, b:0),
% 4.09/4.46 skaf42 [95, 2] (w:1, o:111, a:1, s:1, b:0),
% 4.09/4.46 geq [96, 2] (w:1, o:114, a:1, s:1, b:0),
% 4.09/4.46 segmentP [97, 2] (w:1, o:115, a:1, s:1, b:0),
% 4.09/4.46 rearsegP [98, 2] (w:1, o:106, a:1, s:1, b:0),
% 4.09/4.46 frontsegP [99, 2] (w:1, o:113, a:1, s:1, b:0),
% 4.09/4.46 leq [100, 2] (w:1, o:116, a:1, s:1, b:0),
% 4.09/4.46 lt [101, 2] (w:1, o:117, a:1, s:1, b:0),
% 4.09/4.46 cons [102, 2] (w:1, o:118, a:1, s:1, b:0),
% 4.09/4.46 memberP [103, 2] (w:1, o:119, a:1, s:1, b:0),
% 4.09/4.46 app [104, 2] (w:1, o:120, a:1, s:1, b:0),
% 4.09/4.46 tl [105, 1] (w:1, o:79, a:1, s:1, b:0),
% 4.09/4.46 hd [106, 1] (w:1, o:80, a:1, s:1, b:0),
% 4.09/4.46 neq [107, 2] (w:1, o:121, a:1, s:1, b:0),
% 4.09/4.46 gt [108, 2] (w:1, o:122, a:1, s:1, b:0),
% 4.09/4.46 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.09/4.46 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.09/4.46 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.09/4.46 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 4.09/4.46 sk5 [120, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.09/4.46 sk6 [121, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.09/4.46 sk7 [122, 0] (w:1, o:13, a:1, s:1, b:0).
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Starting Search:
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 4053
% 4.09/4.46 Kept: 2004
% 4.09/4.46 Inuse: 208
% 4.09/4.46 Deleted: 2
% 4.09/4.46 Deletedinuse: 0
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 9218
% 4.09/4.46 Kept: 4811
% 4.09/4.46 Inuse: 294
% 4.09/4.46 Deleted: 2
% 4.09/4.46 Deletedinuse: 0
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 15579
% 4.09/4.46 Kept: 7441
% 4.09/4.46 Inuse: 373
% 4.09/4.46 Deleted: 3
% 4.09/4.46 Deletedinuse: 0
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 21529
% 4.09/4.46 Kept: 9443
% 4.09/4.46 Inuse: 396
% 4.09/4.46 Deleted: 3
% 4.09/4.46 Deletedinuse: 0
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 37769
% 4.09/4.46 Kept: 11472
% 4.09/4.46 Inuse: 443
% 4.09/4.46 Deleted: 5
% 4.09/4.46 Deletedinuse: 2
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 45962
% 4.09/4.46 Kept: 13603
% 4.09/4.46 Inuse: 493
% 4.09/4.46 Deleted: 5
% 4.09/4.46 Deletedinuse: 2
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 57325
% 4.09/4.46 Kept: 15749
% 4.09/4.46 Inuse: 533
% 4.09/4.46 Deleted: 6
% 4.09/4.46 Deletedinuse: 3
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 65835
% 4.09/4.46 Kept: 17757
% 4.09/4.46 Inuse: 569
% 4.09/4.46 Deleted: 10
% 4.09/4.46 Deletedinuse: 3
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 74599
% 4.09/4.46 Kept: 19768
% 4.09/4.46 Inuse: 592
% 4.09/4.46 Deleted: 12
% 4.09/4.46 Deletedinuse: 5
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying clauses:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 84565
% 4.09/4.46 Kept: 21929
% 4.09/4.46 Inuse: 619
% 4.09/4.46 Deleted: 1062
% 4.09/4.46 Deletedinuse: 14
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 95719
% 4.09/4.46 Kept: 24257
% 4.09/4.46 Inuse: 644
% 4.09/4.46 Deleted: 1062
% 4.09/4.46 Deletedinuse: 14
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 114376
% 4.09/4.46 Kept: 26410
% 4.09/4.46 Inuse: 664
% 4.09/4.46 Deleted: 1062
% 4.09/4.46 Deletedinuse: 14
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Intermediate Status:
% 4.09/4.46 Generated: 134461
% 4.09/4.46 Kept: 28559
% 4.09/4.46 Inuse: 689
% 4.09/4.46 Deleted: 1062
% 4.09/4.46 Deletedinuse: 14
% 4.09/4.46
% 4.09/4.46 Resimplifying inuse:
% 4.09/4.46 Done
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 Bliksems!, er is een bewijs:
% 4.09/4.46 % SZS status Unsatisfiable
% 4.09/4.46 % SZS output start Refutation
% 4.09/4.46
% 4.09/4.46 clause( 186, [ =( sk4, sk2 ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 187, [ =( sk3, sk1 ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 188, [ neq( sk2, nil ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 4.09/4.46 app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 ) ) ]
% 4.09/4.46 )
% 4.09/4.46 .
% 4.09/4.46 clause( 190, [ ssItem( sk5 ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 191, [ ssList( sk6 ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 192, [ ssList( sk7 ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 194, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 28831, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.09/4.46 .
% 4.09/4.46 clause( 28859, [] )
% 4.09/4.46 .
% 4.09/4.46
% 4.09/4.46
% 4.09/4.46 % SZS output end Refutation
% 4.09/4.46 found a proof!
% 4.09/4.46
% 4.09/4.46 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.09/4.46
% 4.09/4.46 initialclauses(
% 4.09/4.46 [ clause( 28861, [ equalelemsP( nil ) ] )
% 4.09/4.46 , clause( 28862, [ duplicatefreeP( nil ) ] )
% 4.09/4.46 , clause( 28863, [ strictorderedP( nil ) ] )
% 4.09/4.46 , clause( 28864, [ totalorderedP( nil ) ] )
% 4.09/4.46 , clause( 28865, [ strictorderP( nil ) ] )
% 4.09/4.46 , clause( 28866, [ totalorderP( nil ) ] )
% 4.09/4.46 , clause( 28867, [ cyclefreeP( nil ) ] )
% 4.09/4.46 , clause( 28868, [ ssList( nil ) ] )
% 4.09/4.46 , clause( 28869, [ ssItem( skac3 ) ] )
% 4.09/4.46 , clause( 28870, [ ssItem( skac2 ) ] )
% 4.09/4.46 , clause( 28871, [ ~( singletonP( nil ) ) ] )
% 4.09/4.46 , clause( 28872, [ ssItem( skaf83( X ) ) ] )
% 4.09/4.46 , clause( 28873, [ ssList( skaf82( X ) ) ] )
% 4.09/4.46 , clause( 28874, [ ssList( skaf81( X ) ) ] )
% 4.09/4.46 , clause( 28875, [ ssList( skaf80( X ) ) ] )
% 4.09/4.46 , clause( 28876, [ ssItem( skaf79( X ) ) ] )
% 4.09/4.46 , clause( 28877, [ ssItem( skaf78( X ) ) ] )
% 4.09/4.46 , clause( 28878, [ ssList( skaf77( X ) ) ] )
% 4.09/4.46 , clause( 28879, [ ssList( skaf76( X ) ) ] )
% 4.09/4.46 , clause( 28880, [ ssList( skaf75( X ) ) ] )
% 4.09/4.46 , clause( 28881, [ ssItem( skaf74( X ) ) ] )
% 4.09/4.46 , clause( 28882, [ ssList( skaf73( X ) ) ] )
% 4.09/4.46 , clause( 28883, [ ssList( skaf72( X ) ) ] )
% 4.09/4.46 , clause( 28884, [ ssList( skaf71( X ) ) ] )
% 4.09/4.46 , clause( 28885, [ ssItem( skaf70( X ) ) ] )
% 4.09/4.46 , clause( 28886, [ ssItem( skaf69( X ) ) ] )
% 4.09/4.46 , clause( 28887, [ ssList( skaf68( X ) ) ] )
% 4.09/4.46 , clause( 28888, [ ssList( skaf67( X ) ) ] )
% 4.09/4.46 , clause( 28889, [ ssList( skaf66( X ) ) ] )
% 4.09/4.46 , clause( 28890, [ ssItem( skaf65( X ) ) ] )
% 4.09/4.46 , clause( 28891, [ ssItem( skaf64( X ) ) ] )
% 4.09/4.46 , clause( 28892, [ ssList( skaf63( X ) ) ] )
% 4.09/4.46 , clause( 28893, [ ssList( skaf62( X ) ) ] )
% 4.09/4.46 , clause( 28894, [ ssList( skaf61( X ) ) ] )
% 4.09/4.46 , clause( 28895, [ ssItem( skaf60( X ) ) ] )
% 4.09/4.46 , clause( 28896, [ ssItem( skaf59( X ) ) ] )
% 4.09/4.46 , clause( 28897, [ ssList( skaf58( X ) ) ] )
% 4.09/4.46 , clause( 28898, [ ssList( skaf57( X ) ) ] )
% 4.09/4.46 , clause( 28899, [ ssList( skaf56( X ) ) ] )
% 4.09/4.46 , clause( 28900, [ ssItem( skaf55( X ) ) ] )
% 4.09/4.46 , clause( 28901, [ ssItem( skaf54( X ) ) ] )
% 4.09/4.46 , clause( 28902, [ ssList( skaf53( X ) ) ] )
% 4.09/4.46 , clause( 28903, [ ssList( skaf52( X ) ) ] )
% 4.09/4.46 , clause( 28904, [ ssList( skaf51( X ) ) ] )
% 4.09/4.46 , clause( 28905, [ ssItem( skaf50( X ) ) ] )
% 4.09/4.46 , clause( 28906, [ ssItem( skaf49( X ) ) ] )
% 4.09/4.46 , clause( 28907, [ ssItem( skaf44( X ) ) ] )
% 4.09/4.46 , clause( 28908, [ ssList( skaf48( X, Y ) ) ] )
% 4.09/4.46 , clause( 28909, [ ssList( skaf47( X, Y ) ) ] )
% 4.09/4.46 , clause( 28910, [ ssList( skaf46( X, Y ) ) ] )
% 4.09/4.46 , clause( 28911, [ ssList( skaf45( X, Y ) ) ] )
% 4.09/4.46 , clause( 28912, [ ssList( skaf43( X, Y ) ) ] )
% 4.09/4.46 , clause( 28913, [ ssList( skaf42( X, Y ) ) ] )
% 4.09/4.46 , clause( 28914, [ ~( =( skac3, skac2 ) ) ] )
% 4.09/4.46 , clause( 28915, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 4.09/4.46 , clause( 28916, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 4.09/4.46 , clause( 28917, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.09/4.46 , clause( 28918, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 4.09/4.46 , clause( 28919, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 4.09/4.46 , clause( 28920, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 4.09/4.46 , clause( 28921, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 4.09/4.46 , clause( 28922, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 4.09/4.46 , clause( 28923, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 4.09/4.46 , clause( 28924, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 4.09/4.46 , clause( 28925, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 4.09/4.46 , clause( 28926, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 4.09/4.46 , clause( 28927, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 4.09/4.46 , clause( 28928, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 4.09/4.46 , clause( 28929, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 4.09/4.46 , clause( 28930, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 4.09/4.46 , clause( 28931, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 4.09/4.46 , clause( 28932, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 4.09/4.46 , clause( 28933, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.09/4.46 , clause( 28934, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.09/4.46 , clause( 28935, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.09/4.46 , clause( 28936, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.09/4.46 , clause( 28937, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.09/4.46 , clause( 28938, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.09/4.46 , clause( 28939, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 4.09/4.46 )
% 4.09/4.46 , clause( 28940, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.09/4.46 )
% 4.09/4.46 , clause( 28941, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 4.09/4.46 )
% 4.09/4.46 , clause( 28942, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.09/4.46 )
% 4.09/4.46 , clause( 28943, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 4.09/4.46 ] )
% 4.09/4.46 , clause( 28944, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 4.09/4.46 ] )
% 4.09/4.46 , clause( 28945, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 4.09/4.46 ) ] )
% 4.09/4.46 , clause( 28946, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 4.09/4.46 ) ] )
% 4.09/4.46 , clause( 28947, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 4.09/4.46 skaf49( X ) ) ] )
% 4.09/4.46 , clause( 28948, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 4.09/4.46 skaf50( X ) ) ] )
% 4.09/4.46 , clause( 28949, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 4.09/4.46 equalelemsP( X ) ] )
% 4.09/4.46 , clause( 28950, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 4.09/4.46 strictorderedP( X ) ] )
% 4.09/4.46 , clause( 28951, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 4.09/4.46 totalorderedP( X ) ] )
% 4.09/4.46 , clause( 28952, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 4.09/4.46 strictorderP( X ) ] )
% 4.09/4.46 , clause( 28953, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 4.09/4.46 strictorderP( X ) ] )
% 4.09/4.46 , clause( 28954, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 4.09/4.46 totalorderP( X ) ] )
% 4.09/4.46 , clause( 28955, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 4.09/4.46 totalorderP( X ) ] )
% 4.09/4.46 , clause( 28956, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 4.09/4.46 ), Y ) ] )
% 4.09/4.46 , clause( 28957, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 4.09/4.46 ), X ) ] )
% 4.09/4.46 , clause( 28958, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 4.09/4.46 Y ) ) ] )
% 4.09/4.46 , clause( 28959, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.09/4.46 Y ) ) ] )
% 4.09/4.46 , clause( 28960, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 4.09/4.46 ) ] )
% 4.09/4.46 , clause( 28961, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 4.09/4.46 X ), nil ), X ) ] )
% 4.09/4.46 , clause( 28962, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 4.09/4.46 ) ] )
% 4.09/4.46 , clause( 28963, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 4.09/4.46 X, Y ) ] )
% 4.09/4.46 , clause( 28964, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 4.09/4.46 nil, X ) ] )
% 4.09/4.46 , clause( 28965, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.09/4.46 Y, X ) ] )
% 4.09/4.46 , clause( 28966, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 4.09/4.46 Y, X ) ] )
% 4.09/4.46 , clause( 28967, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 4.09/4.46 leq( Y, X ) ] )
% 4.09/4.46 , clause( 28968, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 4.09/4.46 geq( Y, X ) ] )
% 4.09/4.46 , clause( 28969, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 4.09/4.46 ), =( nil, X ) ] )
% 4.09/4.46 , clause( 28970, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.09/4.46 ssItem( Y ) ) ] )
% 4.09/4.46 , clause( 28971, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.09/4.46 ssItem( X ) ) ] )
% 4.09/4.46 , clause( 28972, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.09/4.46 strictorderedP( cons( Y, X ) ) ] )
% 4.09/4.46 , clause( 28973, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.09/4.46 totalorderedP( cons( Y, X ) ) ] )
% 4.09/4.46 , clause( 28974, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.09/4.46 ssItem( Y ) ) ] )
% 4.09/4.46 , clause( 28975, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 4.09/4.46 ssList( X ) ) ] )
% 4.09/4.46 , clause( 28976, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.09/4.46 Y ) ), singletonP( Y ) ] )
% 4.09/4.46 , clause( 28977, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.09/4.46 ssItem( X ) ) ] )
% 4.09/4.46 , clause( 28978, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.09/4.46 X ) ), =( nil, X ) ] )
% 4.09/4.46 , clause( 28979, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.09/4.46 X ) ), =( nil, Y ) ] )
% 4.09/4.46 , clause( 28980, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 4.09/4.46 ), Y ), cons( X, Y ) ) ] )
% 4.09/4.46 , clause( 28981, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.09/4.46 X, Y ), =( X, Y ) ] )
% 4.09/4.46 , clause( 28982, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.09/4.46 X, Y ), =( X, Y ) ] )
% 4.09/4.46 , clause( 28983, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 4.09/4.46 app( Y, X ) ), hd( Y ) ) ] )
% 4.09/4.46 , clause( 28984, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.09/4.46 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 4.09/4.46 , clause( 28985, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.09/4.46 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 4.09/4.46 , clause( 28986, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 4.09/4.46 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.09/4.46 , clause( 28987, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 4.09/4.46 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.09/4.46 , clause( 28988, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 4.09/4.46 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.09/4.46 , clause( 28989, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 4.09/4.46 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.09/4.46 , clause( 28990, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 4.09/4.46 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.09/4.46 , clause( 28991, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.09/4.46 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 4.09/4.46 , clause( 28992, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.09/4.46 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 4.09/4.46 , clause( 28993, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 4.09/4.46 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 4.09/4.46 , clause( 28994, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.09/4.46 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 4.09/4.46 , clause( 28995, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.09/4.46 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 4.09/4.46 , clause( 28996, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.09/4.46 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 4.09/4.46 , clause( 28997, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.09/4.46 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 4.09/4.46 , clause( 28998, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 4.09/4.46 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 4.09/4.46 , clause( 28999, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 4.09/4.46 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 4.09/4.46 , clause( 29000, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 4.09/4.46 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 4.09/4.46 , clause( 29001, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 4.09/4.46 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 4.09/4.46 , clause( 29002, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 4.09/4.46 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 4.09/4.46 , clause( 29003, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 4.09/4.46 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 4.09/4.46 , clause( 29004, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.09/4.46 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 4.09/4.46 , clause( 29005, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 4.09/4.46 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.09/4.46 , clause( 29006, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.09/4.46 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 4.09/4.46 , clause( 29007, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.09/4.46 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.09/4.46 , clause( 29008, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.09/4.46 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 4.09/4.46 , clause( 29009, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.09/4.46 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 4.09/4.46 , clause( 29010, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 4.09/4.46 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.09/4.46 , clause( 29011, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 4.09/4.46 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 4.09/4.46 , clause( 29012, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 4.09/4.46 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 4.09/4.46 , clause( 29013, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 4.09/4.46 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 4.09/4.46 , clause( 29014, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 4.09/4.46 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 4.09/4.46 , clause( 29015, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.09/4.46 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.09/4.46 , clause( 29016, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.09/4.46 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 4.09/4.46 , clause( 29017, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.09/4.46 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 4.09/4.46 , clause( 29018, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.09/4.46 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 4.09/4.46 , clause( 29019, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 4.09/4.46 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 4.09/4.46 ) ] )
% 4.09/4.46 , clause( 29020, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 4.09/4.46 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 4.09/4.46 Y ) ] )
% 4.09/4.46 , clause( 29021, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.09/4.46 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 4.09/4.46 , clause( 29022, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 4.09/4.46 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 4.09/4.46 skaf77( X ) ) ), X ) ] )
% 4.09/4.46 , clause( 29023, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 4.09/4.46 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 4.09/4.46 skaf73( X ) ) ), X ) ] )
% 4.09/4.46 , clause( 29024, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 4.09/4.46 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 4.09/4.46 skaf68( X ) ) ), X ) ] )
% 4.09/4.46 , clause( 29025, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 4.09/4.46 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 4.09/4.46 ), X ) ] )
% 4.09/4.46 , clause( 29026, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 4.09/4.46 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 4.09/4.46 ), X ) ] )
% 4.09/4.46 , clause( 29027, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 4.09/4.46 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 4.09/4.46 ), X ) ] )
% 4.09/4.46 , clause( 29028, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.09/4.46 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 4.09/4.46 , clause( 29029, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 4.09/4.46 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 4.09/4.46 , clause( 29030, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.09/4.46 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 4.09/4.46 , clause( 29031, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.09/4.46 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 4.09/4.46 , clause( 29032, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 4.09/4.46 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 4.09/4.46 Y ) ] )
% 4.09/4.46 , clause( 29033, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 4.09/4.46 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 4.09/4.46 )
% 4.09/4.46 , clause( 29034, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.09/4.46 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 4.09/4.46 , T ) ] )
% 4.09/4.46 , clause( 29035, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 4.09/4.46 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 4.09/4.46 )
% 4.09/4.46 , clause( 29036, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.09/4.46 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 4.09/4.46 )
% 4.09/4.46 , clause( 29037, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 4.09/4.46 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 4.09/4.46 )
% 4.09/4.46 , clause( 29038, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 4.09/4.46 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 4.09/4.46 Z, X ), cons( T, Y ) ) ] )
% 4.09/4.46 , clause( 29039, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 4.09/4.46 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 4.09/4.46 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 4.09/4.46 , clause( 29040, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 4.09/4.46 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 4.09/4.46 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 4.09/4.46 , clause( 29041, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.09/4.46 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.09/4.46 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 4.09/4.46 ) ] )
% 4.09/4.46 , clause( 29042, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.09/4.46 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.09/4.46 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 4.09/4.46 ) ] )
% 4.09/4.46 , clause( 29043, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.09/4.46 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.12/4.48 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 4.12/4.48 , lt( T, Y ) ] )
% 4.12/4.48 , clause( 29044, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.12/4.48 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.12/4.48 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 4.12/4.48 , leq( T, Y ) ] )
% 4.12/4.48 , clause( 29045, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 4.12/4.48 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 4.12/4.48 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 4.12/4.48 ) ), ~( ssList( W ) ) ] )
% 4.12/4.48 , clause( 29046, [ ssList( sk1 ) ] )
% 4.12/4.48 , clause( 29047, [ ssList( sk2 ) ] )
% 4.12/4.48 , clause( 29048, [ ssList( sk3 ) ] )
% 4.12/4.48 , clause( 29049, [ ssList( sk4 ) ] )
% 4.12/4.48 , clause( 29050, [ =( sk2, sk4 ) ] )
% 4.12/4.48 , clause( 29051, [ =( sk1, sk3 ) ] )
% 4.12/4.48 , clause( 29052, [ neq( sk2, nil ), neq( sk2, nil ) ] )
% 4.12/4.48 , clause( 29053, [ neq( sk2, nil ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.48 , clause( 29054, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.12/4.48 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1
% 4.12/4.48 ) ), neq( sk2, nil ) ] )
% 4.12/4.48 , clause( 29055, [ ssItem( sk5 ), neq( sk2, nil ) ] )
% 4.12/4.48 , clause( 29056, [ ssList( sk6 ), neq( sk2, nil ) ] )
% 4.12/4.48 , clause( 29057, [ ssList( sk7 ), neq( sk2, nil ) ] )
% 4.12/4.48 , clause( 29058, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), neq(
% 4.12/4.48 sk2, nil ) ] )
% 4.12/4.48 , clause( 29059, [ =( app( sk6, sk7 ), sk3 ), neq( sk2, nil ) ] )
% 4.12/4.48 , clause( 29060, [ ~( ssItem( X ) ), =( sk5, X ), ~( memberP( sk4, X ) ),
% 4.12/4.48 ~( geq( X, sk5 ) ), neq( sk2, nil ) ] )
% 4.12/4.48 , clause( 29061, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.12/4.48 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1
% 4.12/4.48 ) ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.48 , clause( 29062, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.48 , clause( 29063, [ ssList( sk6 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.48 , clause( 29064, [ ssList( sk7 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.48 , clause( 29065, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), ~(
% 4.12/4.48 neq( sk4, nil ) ) ] )
% 4.12/4.49 , clause( 29066, [ =( app( sk6, sk7 ), sk3 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.49 , clause( 29067, [ ~( ssItem( X ) ), =( sk5, X ), ~( memberP( sk4, X ) ),
% 4.12/4.49 ~( geq( X, sk5 ) ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.49 ] ).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 eqswap(
% 4.12/4.49 clause( 29825, [ =( sk4, sk2 ) ] )
% 4.12/4.49 , clause( 29050, [ =( sk2, sk4 ) ] )
% 4.12/4.49 , 0, substitution( 0, [] )).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 subsumption(
% 4.12/4.49 clause( 186, [ =( sk4, sk2 ) ] )
% 4.12/4.49 , clause( 29825, [ =( sk4, sk2 ) ] )
% 4.12/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 eqswap(
% 4.12/4.49 clause( 30584, [ =( sk3, sk1 ) ] )
% 4.12/4.49 , clause( 29051, [ =( sk1, sk3 ) ] )
% 4.12/4.49 , 0, substitution( 0, [] )).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 subsumption(
% 4.12/4.49 clause( 187, [ =( sk3, sk1 ) ] )
% 4.12/4.49 , clause( 30584, [ =( sk3, sk1 ) ] )
% 4.12/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 factor(
% 4.12/4.49 clause( 31350, [ neq( sk2, nil ) ] )
% 4.12/4.49 , clause( 29052, [ neq( sk2, nil ), neq( sk2, nil ) ] )
% 4.12/4.49 , 0, 1, substitution( 0, [] )).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 subsumption(
% 4.12/4.49 clause( 188, [ neq( sk2, nil ) ] )
% 4.12/4.49 , clause( 31350, [ neq( sk2, nil ) ] )
% 4.12/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 paramod(
% 4.12/4.49 clause( 32349, [ ~( neq( sk2, nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 4.12/4.49 ~( ssList( Z ) ), ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~(
% 4.12/4.49 =( app( Y, Z ), sk1 ) ) ] )
% 4.12/4.49 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.12/4.49 , 0, clause( 29061, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) )
% 4.12/4.49 , ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ),
% 4.12/4.49 sk1 ) ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.49 , 5, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 4.12/4.49 :=( Z, Z )] )).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 resolution(
% 4.12/4.49 clause( 32355, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~(
% 4.12/4.49 =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 )
% 4.12/4.49 ) ] )
% 4.12/4.49 , clause( 32349, [ ~( neq( sk2, nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) )
% 4.12/4.49 , ~( ssList( Z ) ), ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ),
% 4.12/4.49 ~( =( app( Y, Z ), sk1 ) ) ] )
% 4.12/4.49 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.12/4.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.12/4.49 substitution( 1, [] )).
% 4.12/4.49
% 4.12/4.49
% 4.12/4.49 subsumption(
% 4.12/4.49 clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 4.12/4.51 app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 ) ) ]
% 4.12/4.51 )
% 4.12/4.51 , clause( 32355, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.12/4.51 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1
% 4.12/4.51 ) ) ] )
% 4.12/4.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.12/4.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.12/4.51 ==>( 4, 4 )] ) ).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 paramod(
% 4.12/4.51 clause( 33433, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 4.12/4.51 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.12/4.51 , 0, clause( 29062, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.51 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 33434, [ ssItem( sk5 ) ] )
% 4.12/4.51 , clause( 33433, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 4.12/4.51 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.12/4.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 subsumption(
% 4.12/4.51 clause( 190, [ ssItem( sk5 ) ] )
% 4.12/4.51 , clause( 33434, [ ssItem( sk5 ) ] )
% 4.12/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 paramod(
% 4.12/4.51 clause( 34508, [ ~( neq( sk2, nil ) ), ssList( sk6 ) ] )
% 4.12/4.51 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.12/4.51 , 0, clause( 29063, [ ssList( sk6 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.51 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 34509, [ ssList( sk6 ) ] )
% 4.12/4.51 , clause( 34508, [ ~( neq( sk2, nil ) ), ssList( sk6 ) ] )
% 4.12/4.51 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.12/4.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 subsumption(
% 4.12/4.51 clause( 191, [ ssList( sk6 ) ] )
% 4.12/4.51 , clause( 34509, [ ssList( sk6 ) ] )
% 4.12/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 paramod(
% 4.12/4.51 clause( 35586, [ ~( neq( sk2, nil ) ), ssList( sk7 ) ] )
% 4.12/4.51 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.12/4.51 , 0, clause( 29064, [ ssList( sk7 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.51 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 35587, [ ssList( sk7 ) ] )
% 4.12/4.51 , clause( 35586, [ ~( neq( sk2, nil ) ), ssList( sk7 ) ] )
% 4.12/4.51 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.12/4.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 subsumption(
% 4.12/4.51 clause( 192, [ ssList( sk7 ) ] )
% 4.12/4.51 , clause( 35587, [ ssList( sk7 ) ] )
% 4.12/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 paramod(
% 4.12/4.51 clause( 36806, [ ~( neq( sk2, nil ) ), =( app( app( sk6, cons( sk5, nil ) )
% 4.12/4.51 , sk7 ), sk4 ) ] )
% 4.12/4.51 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.12/4.51 , 0, clause( 29065, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ),
% 4.12/4.51 ~( neq( sk4, nil ) ) ] )
% 4.12/4.51 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 paramod(
% 4.12/4.51 clause( 36808, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ), ~( neq(
% 4.12/4.51 sk2, nil ) ) ] )
% 4.12/4.51 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.12/4.51 , 0, clause( 36806, [ ~( neq( sk2, nil ) ), =( app( app( sk6, cons( sk5,
% 4.12/4.51 nil ) ), sk7 ), sk4 ) ] )
% 4.12/4.51 , 1, 8, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 36809, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.12/4.51 , clause( 36808, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ), ~(
% 4.12/4.51 neq( sk2, nil ) ) ] )
% 4.12/4.51 , 1, clause( 188, [ neq( sk2, nil ) ] )
% 4.12/4.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 subsumption(
% 4.12/4.51 clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.12/4.51 , clause( 36809, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.12/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 paramod(
% 4.12/4.51 clause( 38013, [ =( app( sk6, sk7 ), sk1 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.51 , clause( 187, [ =( sk3, sk1 ) ] )
% 4.12/4.51 , 0, clause( 29066, [ =( app( sk6, sk7 ), sk3 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.51 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 paramod(
% 4.12/4.51 clause( 38014, [ ~( neq( sk2, nil ) ), =( app( sk6, sk7 ), sk1 ) ] )
% 4.12/4.51 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.12/4.51 , 0, clause( 38013, [ =( app( sk6, sk7 ), sk1 ), ~( neq( sk4, nil ) ) ] )
% 4.12/4.51 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 38015, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.12/4.51 , clause( 38014, [ ~( neq( sk2, nil ) ), =( app( sk6, sk7 ), sk1 ) ] )
% 4.12/4.51 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.12/4.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 subsumption(
% 4.12/4.51 clause( 194, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.12/4.51 , clause( 38015, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.12/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 eqswap(
% 4.12/4.51 clause( 38017, [ =( sk2, app( app( sk6, cons( sk5, nil ) ), sk7 ) ) ] )
% 4.12/4.51 , clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.12/4.51 , 0, substitution( 0, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 eqswap(
% 4.12/4.51 clause( 38018, [ ~( =( sk2, app( app( X, cons( Y, nil ) ), Z ) ) ), ~(
% 4.12/4.51 ssItem( Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( =( app( X, Z ), sk1
% 4.12/4.51 ) ) ] )
% 4.12/4.51 , clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~(
% 4.12/4.51 =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 )
% 4.12/4.51 ) ] )
% 4.12/4.51 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 38022, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 ) )
% 4.12/4.51 , ~( =( app( sk6, sk7 ), sk1 ) ) ] )
% 4.12/4.51 , clause( 38018, [ ~( =( sk2, app( app( X, cons( Y, nil ) ), Z ) ) ), ~(
% 4.12/4.51 ssItem( Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( =( app( X, Z ), sk1
% 4.12/4.51 ) ) ] )
% 4.12/4.51 , 0, clause( 38017, [ =( sk2, app( app( sk6, cons( sk5, nil ) ), sk7 ) ) ]
% 4.12/4.51 )
% 4.12/4.51 , 0, substitution( 0, [ :=( X, sk6 ), :=( Y, sk5 ), :=( Z, sk7 )] ),
% 4.12/4.51 substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 paramod(
% 4.12/4.51 clause( 38023, [ ~( =( sk1, sk1 ) ), ~( ssItem( sk5 ) ), ~( ssList( sk6 ) )
% 4.12/4.51 , ~( ssList( sk7 ) ) ] )
% 4.12/4.51 , clause( 194, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.12/4.51 , 0, clause( 38022, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList(
% 4.12/4.51 sk7 ) ), ~( =( app( sk6, sk7 ), sk1 ) ) ] )
% 4.12/4.51 , 3, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 eqrefl(
% 4.12/4.51 clause( 38024, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 ) )
% 4.12/4.51 ] )
% 4.12/4.51 , clause( 38023, [ ~( =( sk1, sk1 ) ), ~( ssItem( sk5 ) ), ~( ssList( sk6 )
% 4.12/4.51 ), ~( ssList( sk7 ) ) ] )
% 4.12/4.51 , 0, substitution( 0, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 38025, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.12/4.51 , clause( 38024, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 )
% 4.12/4.51 ) ] )
% 4.12/4.51 , 0, clause( 190, [ ssItem( sk5 ) ] )
% 4.12/4.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 subsumption(
% 4.12/4.51 clause( 28831, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.12/4.51 , clause( 38025, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.12/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.12/4.51 ).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 38026, [ ~( ssList( sk7 ) ) ] )
% 4.12/4.51 , clause( 28831, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.12/4.51 , 0, clause( 191, [ ssList( sk6 ) ] )
% 4.12/4.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 resolution(
% 4.12/4.51 clause( 38027, [] )
% 4.12/4.51 , clause( 38026, [ ~( ssList( sk7 ) ) ] )
% 4.12/4.51 , 0, clause( 192, [ ssList( sk7 ) ] )
% 4.12/4.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 subsumption(
% 4.12/4.51 clause( 28859, [] )
% 4.12/4.51 , clause( 38027, [] )
% 4.12/4.51 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 end.
% 4.12/4.51
% 4.12/4.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.12/4.51
% 4.12/4.51 Memory use:
% 4.12/4.51
% 4.12/4.51 space for terms: 580456
% 4.12/4.51 space for clauses: 1373694
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 clauses generated: 136205
% 4.12/4.51 clauses kept: 28860
% 4.12/4.51 clauses selected: 699
% 4.12/4.51 clauses deleted: 1063
% 4.12/4.51 clauses inuse deleted: 14
% 4.12/4.51
% 4.12/4.51 subsentry: 334817
% 4.12/4.51 literals s-matched: 182823
% 4.12/4.51 literals matched: 118439
% 4.12/4.51 full subsumption: 72398
% 4.12/4.51
% 4.12/4.51 checksum: 405933783
% 4.12/4.51
% 4.12/4.51
% 4.12/4.51 Bliksem ended
%------------------------------------------------------------------------------