TSTP Solution File: SWC411-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC411-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 19:36:41 EDT 2022
% Result : Unsatisfiable 3.94s 4.31s
% Output : Refutation 3.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC411-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n021.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 : Sat Jun 11 20:53:40 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.49/1.17 *** allocated 10000 integers for termspace/termends
% 0.49/1.17 *** allocated 10000 integers for clauses
% 0.49/1.17 *** allocated 10000 integers for justifications
% 0.49/1.17 Bliksem 1.12
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 Automatic Strategy Selection
% 0.49/1.17
% 0.49/1.17 Clauses:
% 0.49/1.17 [
% 0.49/1.17 [ equalelemsP( nil ) ],
% 0.49/1.17 [ duplicatefreeP( nil ) ],
% 0.49/1.17 [ strictorderedP( nil ) ],
% 0.49/1.17 [ totalorderedP( nil ) ],
% 0.49/1.17 [ strictorderP( nil ) ],
% 0.49/1.17 [ totalorderP( nil ) ],
% 0.49/1.17 [ cyclefreeP( nil ) ],
% 0.49/1.17 [ ssList( nil ) ],
% 0.49/1.17 [ ssItem( skac3 ) ],
% 0.49/1.17 [ ssItem( skac2 ) ],
% 0.49/1.17 [ ~( singletonP( nil ) ) ],
% 0.49/1.17 [ ssItem( skaf83( X ) ) ],
% 0.49/1.17 [ ssList( skaf82( X ) ) ],
% 0.49/1.17 [ ssList( skaf81( X ) ) ],
% 0.49/1.17 [ ssList( skaf80( X ) ) ],
% 0.49/1.17 [ ssItem( skaf79( X ) ) ],
% 0.49/1.17 [ ssItem( skaf78( X ) ) ],
% 0.49/1.17 [ ssList( skaf77( X ) ) ],
% 0.49/1.17 [ ssList( skaf76( X ) ) ],
% 0.49/1.17 [ ssList( skaf75( X ) ) ],
% 0.49/1.17 [ ssItem( skaf74( X ) ) ],
% 0.49/1.17 [ ssList( skaf73( X ) ) ],
% 0.49/1.17 [ ssList( skaf72( X ) ) ],
% 0.49/1.17 [ ssList( skaf71( X ) ) ],
% 0.49/1.17 [ ssItem( skaf70( X ) ) ],
% 0.49/1.17 [ ssItem( skaf69( X ) ) ],
% 0.49/1.17 [ ssList( skaf68( X ) ) ],
% 0.49/1.17 [ ssList( skaf67( X ) ) ],
% 0.49/1.17 [ ssList( skaf66( X ) ) ],
% 0.49/1.17 [ ssItem( skaf65( X ) ) ],
% 0.49/1.17 [ ssItem( skaf64( X ) ) ],
% 0.49/1.17 [ ssList( skaf63( X ) ) ],
% 0.49/1.17 [ ssList( skaf62( X ) ) ],
% 0.49/1.17 [ ssList( skaf61( X ) ) ],
% 0.49/1.17 [ ssItem( skaf60( X ) ) ],
% 0.49/1.17 [ ssItem( skaf59( X ) ) ],
% 0.49/1.17 [ ssList( skaf58( X ) ) ],
% 0.49/1.17 [ ssList( skaf57( X ) ) ],
% 0.49/1.17 [ ssList( skaf56( X ) ) ],
% 0.49/1.17 [ ssItem( skaf55( X ) ) ],
% 0.49/1.17 [ ssItem( skaf54( X ) ) ],
% 0.49/1.17 [ ssList( skaf53( X ) ) ],
% 0.49/1.17 [ ssList( skaf52( X ) ) ],
% 0.49/1.17 [ ssList( skaf51( X ) ) ],
% 0.49/1.17 [ ssItem( skaf50( X ) ) ],
% 0.49/1.17 [ ssItem( skaf49( X ) ) ],
% 0.49/1.17 [ ssItem( skaf44( X ) ) ],
% 0.49/1.17 [ ssList( skaf48( X, Y ) ) ],
% 0.49/1.17 [ ssList( skaf47( X, Y ) ) ],
% 0.49/1.17 [ ssList( skaf46( X, Y ) ) ],
% 0.49/1.17 [ ssList( skaf45( X, Y ) ) ],
% 0.49/1.17 [ ssList( skaf43( X, Y ) ) ],
% 0.49/1.17 [ ssList( skaf42( X, Y ) ) ],
% 0.49/1.17 [ ~( =( skac3, skac2 ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.49/1.17 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.49/1.17 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.49/1.17 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.49/1.17 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.49/1.17 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.49/1.17 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.49/1.17 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.49/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.49/1.17 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.49/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.49/1.17 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.49/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.49/1.17 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.49/1.17 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.49/1.17 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.49/1.17 ],
% 0.49/1.17 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.49/1.17 X ) ],
% 0.49/1.17 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.49/1.17 X ) ],
% 0.49/1.17 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.49/1.17 ) ],
% 0.49/1.17 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.49/1.17 ) ],
% 0.49/1.17 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.49/1.17 ) ],
% 0.49/1.17 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.49/1.17 ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.49/1.17 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.49/1.17 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.49/1.17 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.49/1.17 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.49/1.17 ) ],
% 0.49/1.17 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.49/1.17 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.49/1.17 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.49/1.17 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.49/1.17 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.49/1.17 ) ],
% 0.49/1.17 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.49/1.17 cons( Y, X ) ) ],
% 0.49/1.17 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.49/1.17 cons( Y, X ) ) ],
% 0.49/1.17 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.49/1.17 singletonP( Y ) ],
% 0.49/1.17 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.49/1.17 ,
% 0.49/1.17 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.49/1.17 , X ) ],
% 0.49/1.17 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.49/1.18 , Y ) ],
% 0.49/1.18 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.49/1.18 X, Y ) ) ],
% 0.49/1.18 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.49/1.18 , Y ) ],
% 0.49/1.18 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.49/1.18 , Y ) ],
% 0.49/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.49/1.18 , hd( Y ) ) ],
% 0.49/1.18 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.49/1.18 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.49/1.18 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.49/1.18 , totalorderedP( Y ), =( nil, Y ) ],
% 0.49/1.18 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.49/1.18 , =( Y, X ) ],
% 0.49/1.18 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.49/1.18 ssList( Y ) ), =( Y, X ) ],
% 0.49/1.18 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.49/1.18 ssList( Y ) ), =( Y, X ) ],
% 0.49/1.18 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.49/1.18 ssList( Y ) ), =( Y, X ) ],
% 0.49/1.18 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.49/1.18 , =( Y, X ) ],
% 0.49/1.18 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.49/1.18 skaf46( X, Y ), Y ), X ) ],
% 0.49/1.18 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.49/1.18 , skaf45( X, Y ) ), X ) ],
% 0.49/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.49/1.18 , app( tl( Y ), X ) ) ],
% 0.49/1.18 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.49/1.18 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.49/1.18 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.49/1.18 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.49/1.18 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.49/1.18 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.49/1.18 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.49/1.18 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.49/1.18 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.49/1.18 memberP( cons( Y, Z ), X ) ],
% 0.49/1.18 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.49/1.18 ) ), memberP( cons( Z, X ), Y ) ],
% 0.49/1.18 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.49/1.18 ) ), memberP( app( X, Z ), Y ) ],
% 0.49/1.18 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.49/1.18 ) ), memberP( app( Z, X ), Y ) ],
% 0.49/1.18 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.49/1.18 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.49/1.18 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.49/1.18 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.49/1.18 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.49/1.18 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.49/1.18 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.49/1.18 , =( app( X, Y ), nil ) ],
% 0.49/1.18 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.49/1.18 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.49/1.18 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.49/1.18 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.49/1.18 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.49/1.18 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.49/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.49/1.18 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.49/1.18 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.49/1.18 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.49/1.18 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.49/1.18 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.49/1.18 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.49/1.18 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.49/1.18 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.49/1.18 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.49/1.18 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.49/1.18 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.49/1.18 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.49/1.18 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.49/1.18 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.49/1.18 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.49/1.18 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.49/1.18 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.49/1.18 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.49/1.18 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.49/1.18 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.49/1.18 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.49/1.18 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.49/1.18 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.49/1.18 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.49/1.18 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.49/1.18 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.49/1.18 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.49/1.18 ,
% 0.49/1.18 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.49/1.18 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.49/1.18 ,
% 0.49/1.18 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.49/1.18 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.49/1.18 ,
% 0.49/1.18 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.49/1.18 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.49/1.18 ,
% 0.49/1.18 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.49/1.18 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.49/1.18 ,
% 0.49/1.18 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.49/1.18 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.49/1.18 ,
% 0.49/1.18 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.49/1.18 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.49/1.18 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.49/1.18 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.49/1.18 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.49/1.18 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.49/1.18 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.49/1.18 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.49/1.18 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.84/1.26 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.84/1.26 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.84/1.26 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.84/1.26 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.84/1.26 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.84/1.26 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.84/1.26 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.84/1.26 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.84/1.26 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.84/1.26 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.84/1.26 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.84/1.26 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.84/1.26 T, Y ) ) ],
% 0.84/1.26 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.84/1.26 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.84/1.26 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.84/1.26 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.84/1.26 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.84/1.26 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.84/1.26 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.84/1.26 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.84/1.26 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.84/1.26 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.84/1.26 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.84/1.26 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.84/1.26 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.84/1.26 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.84/1.26 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.84/1.26 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.84/1.26 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.84/1.26 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.84/1.26 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.84/1.26 W ) ) ],
% 0.84/1.26 [ ssList( sk1 ) ],
% 0.84/1.26 [ ssList( sk2 ) ],
% 0.84/1.26 [ ssList( sk3 ) ],
% 0.84/1.26 [ ssList( sk4 ) ],
% 0.84/1.26 [ =( sk2, sk4 ) ],
% 0.84/1.26 [ =( sk1, sk3 ) ],
% 0.84/1.26 [ ~( ssItem( X ) ), memberP( sk3, X ), ~( memberP( sk4, X ) ) ],
% 0.84/1.26 [ ssItem( sk5 ) ],
% 0.84/1.26 [ memberP( sk2, sk5 ) ],
% 0.84/1.26 [ ~( memberP( sk1, sk5 ) ) ]
% 0.84/1.26 ] .
% 0.84/1.26
% 0.84/1.26
% 0.84/1.26 percentage equality = 0.160331, percentage horn = 0.843750
% 0.84/1.26 This is a problem with some equality
% 0.84/1.26
% 0.84/1.26
% 0.84/1.26
% 0.84/1.26 Options Used:
% 0.84/1.26
% 0.84/1.26 useres = 1
% 0.84/1.26 useparamod = 1
% 0.84/1.26 useeqrefl = 1
% 0.84/1.26 useeqfact = 1
% 0.84/1.26 usefactor = 1
% 0.84/1.26 usesimpsplitting = 0
% 0.84/1.26 usesimpdemod = 5
% 0.84/1.26 usesimpres = 3
% 0.84/1.26
% 0.84/1.26 resimpinuse = 1000
% 0.84/1.26 resimpclauses = 20000
% 0.84/1.26 substype = eqrewr
% 0.84/1.26 backwardsubs = 1
% 0.84/1.26 selectoldest = 5
% 0.84/1.26
% 0.84/1.26 litorderings [0] = split
% 0.84/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.26
% 0.84/1.26 termordering = kbo
% 0.84/1.26
% 0.84/1.26 litapriori = 0
% 0.84/1.26 termapriori = 1
% 0.84/1.26 litaposteriori = 0
% 0.84/1.26 termaposteriori = 0
% 0.84/1.26 demodaposteriori = 0
% 0.84/1.26 ordereqreflfact = 0
% 0.84/1.26
% 0.84/1.26 litselect = negord
% 0.84/1.26
% 0.84/1.26 maxweight = 15
% 0.84/1.26 maxdepth = 30000
% 0.84/1.26 maxlength = 115
% 0.84/1.26 maxnrvars = 195
% 0.84/1.26 excuselevel = 1
% 0.84/1.26 increasemaxweight = 1
% 0.84/1.26
% 0.84/1.26 maxselected = 10000000
% 0.84/1.26 maxnrclauses = 10000000
% 0.84/1.26
% 0.84/1.26 showgenerated = 0
% 0.84/1.26 showkept = 0
% 0.84/1.26 showselected = 0
% 0.84/1.26 showdeleted = 0
% 0.84/1.26 showresimp = 1
% 0.84/1.26 showstatus = 2000
% 0.84/1.26
% 0.84/1.26 prologoutput = 1
% 0.84/1.26 nrgoals = 5000000
% 0.84/1.26 totalproof = 1
% 0.84/1.26
% 0.84/1.26 Symbols occurring in the translation:
% 0.84/1.26
% 0.84/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.26 . [1, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.84/1.26 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.84/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.94/4.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.94/4.31 nil [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 3.94/4.31 equalelemsP [40, 1] (w:1, o:31, a:1, s:1, b:0),
% 3.94/4.31 duplicatefreeP [41, 1] (w:1, o:30, a:1, s:1, b:0),
% 3.94/4.31 strictorderedP [42, 1] (w:1, o:34, a:1, s:1, b:0),
% 3.94/4.31 totalorderedP [43, 1] (w:1, o:73, a:1, s:1, b:0),
% 3.94/4.31 strictorderP [44, 1] (w:1, o:35, a:1, s:1, b:0),
% 3.94/4.31 totalorderP [45, 1] (w:1, o:74, a:1, s:1, b:0),
% 3.94/4.31 cyclefreeP [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 3.94/4.31 ssList [47, 1] (w:1, o:32, a:1, s:1, b:0),
% 3.94/4.31 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 3.94/4.31 ssItem [49, 1] (w:1, o:33, a:1, s:1, b:0),
% 3.94/4.31 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 3.94/4.31 singletonP [51, 1] (w:1, o:36, a:1, s:1, b:0),
% 3.94/4.31 skaf83 [53, 1] (w:1, o:72, a:1, s:1, b:0),
% 3.94/4.31 skaf82 [54, 1] (w:1, o:71, a:1, s:1, b:0),
% 3.94/4.31 skaf81 [55, 1] (w:1, o:70, a:1, s:1, b:0),
% 3.94/4.31 skaf80 [56, 1] (w:1, o:69, a:1, s:1, b:0),
% 3.94/4.31 skaf79 [57, 1] (w:1, o:68, a:1, s:1, b:0),
% 3.94/4.31 skaf78 [58, 1] (w:1, o:67, a:1, s:1, b:0),
% 3.94/4.31 skaf77 [59, 1] (w:1, o:66, a:1, s:1, b:0),
% 3.94/4.31 skaf76 [60, 1] (w:1, o:65, a:1, s:1, b:0),
% 3.94/4.31 skaf75 [61, 1] (w:1, o:64, a:1, s:1, b:0),
% 3.94/4.31 skaf74 [62, 1] (w:1, o:63, a:1, s:1, b:0),
% 3.94/4.31 skaf73 [63, 1] (w:1, o:62, a:1, s:1, b:0),
% 3.94/4.31 skaf72 [64, 1] (w:1, o:61, a:1, s:1, b:0),
% 3.94/4.31 skaf71 [65, 1] (w:1, o:60, a:1, s:1, b:0),
% 3.94/4.31 skaf70 [66, 1] (w:1, o:59, a:1, s:1, b:0),
% 3.94/4.31 skaf69 [67, 1] (w:1, o:58, a:1, s:1, b:0),
% 3.94/4.31 skaf68 [68, 1] (w:1, o:57, a:1, s:1, b:0),
% 3.94/4.31 skaf67 [69, 1] (w:1, o:56, a:1, s:1, b:0),
% 3.94/4.31 skaf66 [70, 1] (w:1, o:55, a:1, s:1, b:0),
% 3.94/4.31 skaf65 [71, 1] (w:1, o:54, a:1, s:1, b:0),
% 3.94/4.31 skaf64 [72, 1] (w:1, o:53, a:1, s:1, b:0),
% 3.94/4.31 skaf63 [73, 1] (w:1, o:52, a:1, s:1, b:0),
% 3.94/4.31 skaf62 [74, 1] (w:1, o:51, a:1, s:1, b:0),
% 3.94/4.31 skaf61 [75, 1] (w:1, o:50, a:1, s:1, b:0),
% 3.94/4.31 skaf60 [76, 1] (w:1, o:49, a:1, s:1, b:0),
% 3.94/4.31 skaf59 [77, 1] (w:1, o:48, a:1, s:1, b:0),
% 3.94/4.31 skaf58 [78, 1] (w:1, o:47, a:1, s:1, b:0),
% 3.94/4.31 skaf57 [79, 1] (w:1, o:46, a:1, s:1, b:0),
% 3.94/4.31 skaf56 [80, 1] (w:1, o:45, a:1, s:1, b:0),
% 3.94/4.31 skaf55 [81, 1] (w:1, o:44, a:1, s:1, b:0),
% 3.94/4.31 skaf54 [82, 1] (w:1, o:43, a:1, s:1, b:0),
% 3.94/4.31 skaf53 [83, 1] (w:1, o:42, a:1, s:1, b:0),
% 3.94/4.31 skaf52 [84, 1] (w:1, o:41, a:1, s:1, b:0),
% 3.94/4.31 skaf51 [85, 1] (w:1, o:40, a:1, s:1, b:0),
% 3.94/4.31 skaf50 [86, 1] (w:1, o:39, a:1, s:1, b:0),
% 3.94/4.31 skaf49 [87, 1] (w:1, o:37, a:1, s:1, b:0),
% 3.94/4.31 skaf44 [88, 1] (w:1, o:38, a:1, s:1, b:0),
% 3.94/4.31 skaf48 [90, 2] (w:1, o:106, a:1, s:1, b:0),
% 3.94/4.31 skaf47 [91, 2] (w:1, o:105, a:1, s:1, b:0),
% 3.94/4.31 skaf46 [92, 2] (w:1, o:104, a:1, s:1, b:0),
% 3.94/4.31 skaf45 [93, 2] (w:1, o:103, a:1, s:1, b:0),
% 3.94/4.31 skaf43 [94, 2] (w:1, o:108, a:1, s:1, b:0),
% 3.94/4.31 skaf42 [95, 2] (w:1, o:107, a:1, s:1, b:0),
% 3.94/4.31 geq [96, 2] (w:1, o:110, a:1, s:1, b:0),
% 3.94/4.31 segmentP [97, 2] (w:1, o:111, a:1, s:1, b:0),
% 3.94/4.31 rearsegP [98, 2] (w:1, o:102, a:1, s:1, b:0),
% 3.94/4.31 frontsegP [99, 2] (w:1, o:109, a:1, s:1, b:0),
% 3.94/4.31 leq [100, 2] (w:1, o:112, a:1, s:1, b:0),
% 3.94/4.31 lt [101, 2] (w:1, o:113, a:1, s:1, b:0),
% 3.94/4.31 cons [102, 2] (w:1, o:114, a:1, s:1, b:0),
% 3.94/4.31 memberP [103, 2] (w:1, o:115, a:1, s:1, b:0),
% 3.94/4.31 app [104, 2] (w:1, o:116, a:1, s:1, b:0),
% 3.94/4.31 tl [105, 1] (w:1, o:75, a:1, s:1, b:0),
% 3.94/4.31 hd [106, 1] (w:1, o:76, a:1, s:1, b:0),
% 3.94/4.31 neq [107, 2] (w:1, o:117, a:1, s:1, b:0),
% 3.94/4.31 gt [108, 2] (w:1, o:118, a:1, s:1, b:0),
% 3.94/4.31 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 3.94/4.31 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 3.94/4.31 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.94/4.31 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 3.94/4.31 sk5 [118, 0] (w:1, o:11, a:1, s:1, b:0).
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Starting Search:
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 4073
% 3.94/4.31 Kept: 2003
% 3.94/4.31 Inuse: 208
% 3.94/4.31 Deleted: 2
% 3.94/4.31 Deletedinuse: 0
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 9242
% 3.94/4.31 Kept: 4806
% 3.94/4.31 Inuse: 294
% 3.94/4.31 Deleted: 2
% 3.94/4.31 Deletedinuse: 0
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 15257
% 3.94/4.31 Kept: 7152
% 3.94/4.31 Inuse: 374
% 3.94/4.31 Deleted: 2
% 3.94/4.31 Deletedinuse: 0
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 25640
% 3.94/4.31 Kept: 9351
% 3.94/4.31 Inuse: 409
% 3.94/4.31 Deleted: 2
% 3.94/4.31 Deletedinuse: 0
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 41008
% 3.94/4.31 Kept: 11453
% 3.94/4.31 Inuse: 459
% 3.94/4.31 Deleted: 4
% 3.94/4.31 Deletedinuse: 2
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 47099
% 3.94/4.31 Kept: 13467
% 3.94/4.31 Inuse: 499
% 3.94/4.31 Deleted: 4
% 3.94/4.31 Deletedinuse: 2
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 55057
% 3.94/4.31 Kept: 15716
% 3.94/4.31 Inuse: 529
% 3.94/4.31 Deleted: 4
% 3.94/4.31 Deletedinuse: 2
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 64230
% 3.94/4.31 Kept: 17748
% 3.94/4.31 Inuse: 562
% 3.94/4.31 Deleted: 5
% 3.94/4.31 Deletedinuse: 3
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 75213
% 3.94/4.31 Kept: 19796
% 3.94/4.31 Inuse: 589
% 3.94/4.31 Deleted: 7
% 3.94/4.31 Deletedinuse: 5
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying clauses:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 81852
% 3.94/4.31 Kept: 21815
% 3.94/4.31 Inuse: 618
% 3.94/4.31 Deleted: 1032
% 3.94/4.31 Deletedinuse: 14
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 95101
% 3.94/4.31 Kept: 23892
% 3.94/4.31 Inuse: 639
% 3.94/4.31 Deleted: 1032
% 3.94/4.31 Deletedinuse: 14
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 107913
% 3.94/4.31 Kept: 26063
% 3.94/4.31 Inuse: 664
% 3.94/4.31 Deleted: 1032
% 3.94/4.31 Deletedinuse: 14
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Intermediate Status:
% 3.94/4.31 Generated: 128942
% 3.94/4.31 Kept: 28197
% 3.94/4.31 Inuse: 684
% 3.94/4.31 Deleted: 1032
% 3.94/4.31 Deletedinuse: 14
% 3.94/4.31
% 3.94/4.31 Resimplifying inuse:
% 3.94/4.31 Done
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 Bliksems!, er is een bewijs:
% 3.94/4.31 % SZS status Unsatisfiable
% 3.94/4.31 % SZS output start Refutation
% 3.94/4.31
% 3.94/4.31 clause( 186, [ =( sk4, sk2 ) ] )
% 3.94/4.31 .
% 3.94/4.31 clause( 187, [ =( sk3, sk1 ) ] )
% 3.94/4.31 .
% 3.94/4.31 clause( 188, [ ~( ssItem( X ) ), memberP( sk1, X ), ~( memberP( sk2, X ) )
% 3.94/4.31 ] )
% 3.94/4.31 .
% 3.94/4.31 clause( 189, [ ssItem( sk5 ) ] )
% 3.94/4.31 .
% 3.94/4.31 clause( 190, [ memberP( sk2, sk5 ) ] )
% 3.94/4.31 .
% 3.94/4.31 clause( 191, [ ~( memberP( sk1, sk5 ) ) ] )
% 3.94/4.31 .
% 3.94/4.31 clause( 29486, [ memberP( sk1, sk5 ) ] )
% 3.94/4.31 .
% 3.94/4.31 clause( 29511, [] )
% 3.94/4.31 .
% 3.94/4.31
% 3.94/4.31
% 3.94/4.31 % SZS output end Refutation
% 3.94/4.31 found a proof!
% 3.94/4.31
% 3.94/4.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.94/4.31
% 3.94/4.31 initialclauses(
% 3.94/4.31 [ clause( 29513, [ equalelemsP( nil ) ] )
% 3.94/4.31 , clause( 29514, [ duplicatefreeP( nil ) ] )
% 3.94/4.31 , clause( 29515, [ strictorderedP( nil ) ] )
% 3.94/4.31 , clause( 29516, [ totalorderedP( nil ) ] )
% 3.94/4.31 , clause( 29517, [ strictorderP( nil ) ] )
% 3.94/4.31 , clause( 29518, [ totalorderP( nil ) ] )
% 3.94/4.31 , clause( 29519, [ cyclefreeP( nil ) ] )
% 3.94/4.31 , clause( 29520, [ ssList( nil ) ] )
% 3.94/4.31 , clause( 29521, [ ssItem( skac3 ) ] )
% 3.94/4.31 , clause( 29522, [ ssItem( skac2 ) ] )
% 3.94/4.31 , clause( 29523, [ ~( singletonP( nil ) ) ] )
% 3.94/4.31 , clause( 29524, [ ssItem( skaf83( X ) ) ] )
% 3.94/4.31 , clause( 29525, [ ssList( skaf82( X ) ) ] )
% 3.94/4.31 , clause( 29526, [ ssList( skaf81( X ) ) ] )
% 3.94/4.31 , clause( 29527, [ ssList( skaf80( X ) ) ] )
% 3.94/4.31 , clause( 29528, [ ssItem( skaf79( X ) ) ] )
% 3.94/4.31 , clause( 29529, [ ssItem( skaf78( X ) ) ] )
% 3.94/4.31 , clause( 29530, [ ssList( skaf77( X ) ) ] )
% 3.94/4.31 , clause( 29531, [ ssList( skaf76( X ) ) ] )
% 3.94/4.31 , clause( 29532, [ ssList( skaf75( X ) ) ] )
% 3.94/4.31 , clause( 29533, [ ssItem( skaf74( X ) ) ] )
% 3.94/4.31 , clause( 29534, [ ssList( skaf73( X ) ) ] )
% 3.94/4.31 , clause( 29535, [ ssList( skaf72( X ) ) ] )
% 3.94/4.31 , clause( 29536, [ ssList( skaf71( X ) ) ] )
% 3.94/4.31 , clause( 29537, [ ssItem( skaf70( X ) ) ] )
% 3.94/4.31 , clause( 29538, [ ssItem( skaf69( X ) ) ] )
% 3.94/4.31 , clause( 29539, [ ssList( skaf68( X ) ) ] )
% 3.94/4.31 , clause( 29540, [ ssList( skaf67( X ) ) ] )
% 3.94/4.31 , clause( 29541, [ ssList( skaf66( X ) ) ] )
% 3.94/4.31 , clause( 29542, [ ssItem( skaf65( X ) ) ] )
% 3.94/4.31 , clause( 29543, [ ssItem( skaf64( X ) ) ] )
% 3.94/4.31 , clause( 29544, [ ssList( skaf63( X ) ) ] )
% 3.94/4.31 , clause( 29545, [ ssList( skaf62( X ) ) ] )
% 3.94/4.31 , clause( 29546, [ ssList( skaf61( X ) ) ] )
% 3.94/4.31 , clause( 29547, [ ssItem( skaf60( X ) ) ] )
% 3.94/4.31 , clause( 29548, [ ssItem( skaf59( X ) ) ] )
% 3.94/4.31 , clause( 29549, [ ssList( skaf58( X ) ) ] )
% 3.94/4.31 , clause( 29550, [ ssList( skaf57( X ) ) ] )
% 3.94/4.31 , clause( 29551, [ ssList( skaf56( X ) ) ] )
% 3.94/4.31 , clause( 29552, [ ssItem( skaf55( X ) ) ] )
% 3.94/4.31 , clause( 29553, [ ssItem( skaf54( X ) ) ] )
% 3.94/4.31 , clause( 29554, [ ssList( skaf53( X ) ) ] )
% 3.94/4.31 , clause( 29555, [ ssList( skaf52( X ) ) ] )
% 3.94/4.31 , clause( 29556, [ ssList( skaf51( X ) ) ] )
% 3.94/4.31 , clause( 29557, [ ssItem( skaf50( X ) ) ] )
% 3.94/4.31 , clause( 29558, [ ssItem( skaf49( X ) ) ] )
% 3.94/4.31 , clause( 29559, [ ssItem( skaf44( X ) ) ] )
% 3.94/4.31 , clause( 29560, [ ssList( skaf48( X, Y ) ) ] )
% 3.94/4.31 , clause( 29561, [ ssList( skaf47( X, Y ) ) ] )
% 3.94/4.31 , clause( 29562, [ ssList( skaf46( X, Y ) ) ] )
% 3.94/4.31 , clause( 29563, [ ssList( skaf45( X, Y ) ) ] )
% 3.94/4.31 , clause( 29564, [ ssList( skaf43( X, Y ) ) ] )
% 3.94/4.31 , clause( 29565, [ ssList( skaf42( X, Y ) ) ] )
% 3.94/4.31 , clause( 29566, [ ~( =( skac3, skac2 ) ) ] )
% 3.94/4.31 , clause( 29567, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 3.94/4.31 , clause( 29568, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 3.94/4.31 , clause( 29569, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 3.94/4.31 , clause( 29570, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 3.94/4.31 , clause( 29571, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 3.94/4.31 , clause( 29572, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 3.94/4.31 , clause( 29573, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 3.94/4.31 , clause( 29574, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 3.94/4.31 , clause( 29575, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 3.94/4.31 , clause( 29576, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 3.94/4.31 , clause( 29577, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 3.94/4.31 , clause( 29578, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 3.94/4.31 , clause( 29579, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 3.94/4.31 , clause( 29580, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 3.94/4.31 , clause( 29581, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 3.94/4.31 , clause( 29582, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 3.94/4.31 , clause( 29583, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 3.94/4.31 , clause( 29584, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 3.94/4.31 , clause( 29585, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 3.94/4.31 , clause( 29586, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 3.94/4.31 , clause( 29587, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 3.94/4.31 , clause( 29588, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 3.94/4.31 , clause( 29589, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 3.94/4.31 , clause( 29590, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 3.94/4.31 , clause( 29591, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 3.94/4.31 )
% 3.94/4.31 , clause( 29592, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 3.94/4.31 )
% 3.94/4.31 , clause( 29593, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 3.94/4.31 )
% 3.94/4.31 , clause( 29594, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 3.94/4.31 )
% 3.94/4.31 , clause( 29595, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 3.94/4.31 ] )
% 3.94/4.31 , clause( 29596, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 3.94/4.31 ] )
% 3.94/4.31 , clause( 29597, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 3.94/4.31 ) ] )
% 3.94/4.31 , clause( 29598, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 3.94/4.31 ) ] )
% 3.94/4.31 , clause( 29599, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 3.94/4.31 skaf49( X ) ) ] )
% 3.94/4.31 , clause( 29600, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 3.94/4.31 skaf50( X ) ) ] )
% 3.94/4.31 , clause( 29601, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 3.94/4.31 equalelemsP( X ) ] )
% 3.94/4.31 , clause( 29602, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 3.94/4.31 strictorderedP( X ) ] )
% 3.94/4.31 , clause( 29603, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 3.94/4.31 totalorderedP( X ) ] )
% 3.94/4.31 , clause( 29604, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 3.94/4.31 strictorderP( X ) ] )
% 3.94/4.31 , clause( 29605, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 3.94/4.31 strictorderP( X ) ] )
% 3.94/4.31 , clause( 29606, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 3.94/4.31 totalorderP( X ) ] )
% 3.94/4.31 , clause( 29607, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 3.94/4.31 totalorderP( X ) ] )
% 3.94/4.31 , clause( 29608, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 3.94/4.31 ), Y ) ] )
% 3.94/4.31 , clause( 29609, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 3.94/4.31 ), X ) ] )
% 3.94/4.31 , clause( 29610, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 3.94/4.31 Y ) ) ] )
% 3.94/4.31 , clause( 29611, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 3.94/4.31 Y ) ) ] )
% 3.94/4.31 , clause( 29612, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 3.94/4.31 ) ] )
% 3.94/4.31 , clause( 29613, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 3.94/4.31 X ), nil ), X ) ] )
% 3.94/4.31 , clause( 29614, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 3.94/4.31 ) ] )
% 3.94/4.31 , clause( 29615, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 3.94/4.31 X, Y ) ] )
% 3.94/4.31 , clause( 29616, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 3.94/4.31 nil, X ) ] )
% 3.94/4.31 , clause( 29617, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 3.94/4.31 Y, X ) ] )
% 3.94/4.31 , clause( 29618, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 3.94/4.31 Y, X ) ] )
% 3.94/4.31 , clause( 29619, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 3.94/4.31 leq( Y, X ) ] )
% 3.94/4.31 , clause( 29620, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 3.94/4.31 geq( Y, X ) ] )
% 3.94/4.31 , clause( 29621, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 3.94/4.31 ), =( nil, X ) ] )
% 3.94/4.31 , clause( 29622, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 3.94/4.31 ssItem( Y ) ) ] )
% 3.94/4.31 , clause( 29623, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 3.94/4.31 ssItem( X ) ) ] )
% 3.94/4.31 , clause( 29624, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 3.94/4.31 strictorderedP( cons( Y, X ) ) ] )
% 3.94/4.31 , clause( 29625, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 3.94/4.31 totalorderedP( cons( Y, X ) ) ] )
% 3.94/4.31 , clause( 29626, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 3.94/4.31 ssItem( Y ) ) ] )
% 3.94/4.31 , clause( 29627, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 3.94/4.31 ssList( X ) ) ] )
% 3.94/4.31 , clause( 29628, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 3.94/4.31 Y ) ), singletonP( Y ) ] )
% 3.94/4.31 , clause( 29629, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 3.94/4.31 ssItem( X ) ) ] )
% 3.94/4.31 , clause( 29630, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 3.94/4.31 X ) ), =( nil, X ) ] )
% 3.94/4.31 , clause( 29631, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 3.94/4.31 X ) ), =( nil, Y ) ] )
% 3.94/4.31 , clause( 29632, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 3.94/4.31 ), Y ), cons( X, Y ) ) ] )
% 3.94/4.31 , clause( 29633, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 3.94/4.31 X, Y ), =( X, Y ) ] )
% 3.94/4.31 , clause( 29634, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 3.94/4.31 X, Y ), =( X, Y ) ] )
% 3.94/4.31 , clause( 29635, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 3.94/4.31 app( Y, X ) ), hd( Y ) ) ] )
% 3.94/4.31 , clause( 29636, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 3.94/4.31 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 3.94/4.31 , clause( 29637, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 3.94/4.31 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 3.94/4.31 , clause( 29638, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 3.94/4.31 ~( ssItem( Y ) ), =( Y, X ) ] )
% 3.94/4.31 , clause( 29639, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 3.94/4.31 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 3.94/4.31 , clause( 29640, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 3.94/4.31 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 3.94/4.31 , clause( 29641, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 3.94/4.31 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 3.94/4.31 , clause( 29642, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 3.94/4.31 ~( ssItem( Y ) ), =( Y, X ) ] )
% 3.94/4.31 , clause( 29643, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 3.94/4.31 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 3.94/4.31 , clause( 29644, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 3.94/4.31 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 3.94/4.31 , clause( 29645, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 3.94/4.31 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 3.94/4.31 , clause( 29646, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 3.94/4.31 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 3.94/4.31 , clause( 29647, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 3.94/4.31 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 3.94/4.31 , clause( 29648, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 3.94/4.31 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 3.94/4.31 , clause( 29649, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 3.94/4.31 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 3.94/4.31 , clause( 29650, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 3.94/4.31 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 3.94/4.31 , clause( 29651, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 3.94/4.31 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 3.94/4.31 , clause( 29652, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 3.94/4.31 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 3.94/4.31 , clause( 29653, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 3.94/4.31 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 3.94/4.31 , clause( 29654, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 3.94/4.31 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 3.94/4.31 , clause( 29655, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 3.94/4.31 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 3.94/4.31 , clause( 29656, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 3.94/4.31 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 3.94/4.31 , clause( 29657, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 3.94/4.31 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 3.94/4.31 , clause( 29658, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 3.94/4.31 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 3.94/4.31 , clause( 29659, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 3.94/4.31 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 3.94/4.31 , clause( 29660, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 3.94/4.31 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 3.94/4.31 , clause( 29661, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 3.94/4.31 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 3.94/4.31 , clause( 29662, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 3.94/4.31 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 3.94/4.31 , clause( 29663, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 3.94/4.31 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 3.94/4.31 , clause( 29664, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 3.94/4.31 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 3.94/4.31 , clause( 29665, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 3.94/4.31 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 3.94/4.31 , clause( 29666, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 3.94/4.31 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 3.94/4.31 , clause( 29667, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 3.94/4.31 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 3.94/4.31 , clause( 29668, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 3.94/4.31 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 3.94/4.31 , clause( 29669, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 3.94/4.31 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 3.94/4.31 , clause( 29670, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 3.94/4.31 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 3.94/4.31 , clause( 29671, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 3.94/4.31 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 3.94/4.31 ) ] )
% 3.94/4.31 , clause( 29672, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 3.94/4.31 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 3.94/4.31 Y ) ] )
% 3.94/4.31 , clause( 29673, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 3.94/4.31 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 3.94/4.31 , clause( 29674, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 3.94/4.31 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 3.94/4.31 skaf77( X ) ) ), X ) ] )
% 3.94/4.31 , clause( 29675, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 3.94/4.31 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 3.94/4.31 skaf73( X ) ) ), X ) ] )
% 3.94/4.31 , clause( 29676, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 3.94/4.31 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 3.94/4.31 skaf68( X ) ) ), X ) ] )
% 3.94/4.31 , clause( 29677, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 3.94/4.31 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 3.94/4.31 ), X ) ] )
% 3.94/4.31 , clause( 29678, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 3.94/4.31 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 3.94/4.31 ), X ) ] )
% 3.94/4.31 , clause( 29679, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 3.94/4.32 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 3.94/4.32 ), X ) ] )
% 3.94/4.32 , clause( 29680, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 3.94/4.32 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 3.94/4.32 , clause( 29681, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 3.94/4.32 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 3.94/4.32 , clause( 29682, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 3.94/4.32 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 3.94/4.32 , clause( 29683, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 3.94/4.32 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 3.94/4.32 , clause( 29684, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 3.94/4.32 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 3.94/4.32 Y ) ] )
% 3.94/4.32 , clause( 29685, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 3.94/4.32 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 3.94/4.32 )
% 3.94/4.32 , clause( 29686, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 3.94/4.32 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 3.94/4.32 , T ) ] )
% 3.94/4.32 , clause( 29687, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 3.94/4.32 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 3.94/4.32 )
% 3.94/4.32 , clause( 29688, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 3.94/4.32 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 3.94/4.32 )
% 3.94/4.32 , clause( 29689, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 3.94/4.32 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 3.94/4.32 )
% 3.94/4.32 , clause( 29690, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 3.94/4.32 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 3.94/4.32 Z, X ), cons( T, Y ) ) ] )
% 3.94/4.32 , clause( 29691, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 3.94/4.32 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 3.94/4.32 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 3.94/4.32 , clause( 29692, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 3.94/4.32 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 3.94/4.32 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 3.94/4.32 , clause( 29693, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 3.94/4.32 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 3.94/4.32 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 3.94/4.32 ) ] )
% 3.94/4.32 , clause( 29694, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 3.94/4.32 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 3.94/4.32 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 3.94/4.32 ) ] )
% 3.94/4.32 , clause( 29695, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 3.94/4.32 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 3.94/4.32 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 3.94/4.32 , lt( T, Y ) ] )
% 3.94/4.32 , clause( 29696, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 3.94/4.32 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 3.94/4.32 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 3.94/4.32 , leq( T, Y ) ] )
% 3.94/4.32 , clause( 29697, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 3.94/4.32 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 3.94/4.32 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 3.94/4.32 ) ), ~( ssList( W ) ) ] )
% 3.94/4.32 , clause( 29698, [ ssList( sk1 ) ] )
% 3.94/4.32 , clause( 29699, [ ssList( sk2 ) ] )
% 3.94/4.32 , clause( 29700, [ ssList( sk3 ) ] )
% 3.94/4.32 , clause( 29701, [ ssList( sk4 ) ] )
% 3.94/4.32 , clause( 29702, [ =( sk2, sk4 ) ] )
% 3.94/4.32 , clause( 29703, [ =( sk1, sk3 ) ] )
% 3.94/4.32 , clause( 29704, [ ~( ssItem( X ) ), memberP( sk3, X ), ~( memberP( sk4, X
% 3.94/4.32 ) ) ] )
% 3.94/4.32 , clause( 29705, [ ssItem( sk5 ) ] )
% 3.94/4.32 , clause( 29706, [ memberP( sk2, sk5 ) ] )
% 3.94/4.32 , clause( 29707, [ ~( memberP( sk1, sk5 ) ) ] )
% 3.94/4.32 ] ).
% 3.94/4.32
% 3.94/4.32
% 3.94/4.32
% 3.94/4.32 eqswap(
% 3.94/4.32 clause( 30465, [ =( sk4, sk2 ) ] )
% 3.94/4.32 , clause( 29702, [ =( sk2, sk4 ) ] )
% 3.94/4.32 , 0, substitution( 0, [] )).
% 3.94/4.32
% 3.94/4.32
% 3.94/4.32 subsumption(
% 3.94/4.32 clause( 186, [ =( sk4, sk2 ) ] )
% 3.94/4.32 , clause( 30465, [ =( sk4, sk2 ) ] )
% 3.94/4.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 eqswap(
% 3.94/4.34 clause( 31224, [ =( sk3, sk1 ) ] )
% 3.94/4.34 , clause( 29703, [ =( sk1, sk3 ) ] )
% 3.94/4.34 , 0, substitution( 0, [] )).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 subsumption(
% 3.94/4.34 clause( 187, [ =( sk3, sk1 ) ] )
% 3.94/4.34 , clause( 31224, [ =( sk3, sk1 ) ] )
% 3.94/4.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 paramod(
% 3.94/4.34 clause( 32377, [ memberP( sk1, X ), ~( ssItem( X ) ), ~( memberP( sk4, X )
% 3.94/4.34 ) ] )
% 3.94/4.34 , clause( 187, [ =( sk3, sk1 ) ] )
% 3.94/4.34 , 0, clause( 29704, [ ~( ssItem( X ) ), memberP( sk3, X ), ~( memberP( sk4
% 3.94/4.34 , X ) ) ] )
% 3.94/4.34 , 1, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 paramod(
% 3.94/4.34 clause( 32378, [ ~( memberP( sk2, X ) ), memberP( sk1, X ), ~( ssItem( X )
% 3.94/4.34 ) ] )
% 3.94/4.34 , clause( 186, [ =( sk4, sk2 ) ] )
% 3.94/4.34 , 0, clause( 32377, [ memberP( sk1, X ), ~( ssItem( X ) ), ~( memberP( sk4
% 3.94/4.34 , X ) ) ] )
% 3.94/4.34 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 subsumption(
% 3.94/4.34 clause( 188, [ ~( ssItem( X ) ), memberP( sk1, X ), ~( memberP( sk2, X ) )
% 3.94/4.34 ] )
% 3.94/4.34 , clause( 32378, [ ~( memberP( sk2, X ) ), memberP( sk1, X ), ~( ssItem( X
% 3.94/4.34 ) ) ] )
% 3.94/4.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 3.94/4.34 1 ), ==>( 2, 0 )] ) ).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 subsumption(
% 3.94/4.34 clause( 189, [ ssItem( sk5 ) ] )
% 3.94/4.34 , clause( 29705, [ ssItem( sk5 ) ] )
% 3.94/4.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 subsumption(
% 3.94/4.34 clause( 190, [ memberP( sk2, sk5 ) ] )
% 3.94/4.34 , clause( 29706, [ memberP( sk2, sk5 ) ] )
% 3.94/4.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 subsumption(
% 3.94/4.34 clause( 191, [ ~( memberP( sk1, sk5 ) ) ] )
% 3.94/4.34 , clause( 29707, [ ~( memberP( sk1, sk5 ) ) ] )
% 3.94/4.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 resolution(
% 3.94/4.34 clause( 34656, [ ~( ssItem( sk5 ) ), memberP( sk1, sk5 ) ] )
% 3.94/4.34 , clause( 188, [ ~( ssItem( X ) ), memberP( sk1, X ), ~( memberP( sk2, X )
% 3.94/4.34 ) ] )
% 3.94/4.34 , 2, clause( 190, [ memberP( sk2, sk5 ) ] )
% 3.94/4.34 , 0, substitution( 0, [ :=( X, sk5 )] ), substitution( 1, [] )).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 resolution(
% 3.94/4.34 clause( 34657, [ memberP( sk1, sk5 ) ] )
% 3.94/4.34 , clause( 34656, [ ~( ssItem( sk5 ) ), memberP( sk1, sk5 ) ] )
% 3.94/4.34 , 0, clause( 189, [ ssItem( sk5 ) ] )
% 3.94/4.34 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 subsumption(
% 3.94/4.34 clause( 29486, [ memberP( sk1, sk5 ) ] )
% 3.94/4.34 , clause( 34657, [ memberP( sk1, sk5 ) ] )
% 3.94/4.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 resolution(
% 3.94/4.34 clause( 34658, [] )
% 3.94/4.34 , clause( 191, [ ~( memberP( sk1, sk5 ) ) ] )
% 3.94/4.34 , 0, clause( 29486, [ memberP( sk1, sk5 ) ] )
% 3.94/4.34 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 subsumption(
% 3.94/4.34 clause( 29511, [] )
% 3.94/4.34 , clause( 34658, [] )
% 3.94/4.34 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 end.
% 3.94/4.34
% 3.94/4.34 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.94/4.34
% 3.94/4.34 Memory use:
% 3.94/4.34
% 3.94/4.34 space for terms: 589346
% 3.94/4.34 space for clauses: 1389299
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 clauses generated: 138362
% 3.94/4.34 clauses kept: 29512
% 3.94/4.34 clauses selected: 699
% 3.94/4.34 clauses deleted: 1033
% 3.94/4.34 clauses inuse deleted: 14
% 3.94/4.34
% 3.94/4.34 subsentry: 290501
% 3.94/4.34 literals s-matched: 158812
% 3.94/4.34 literals matched: 112127
% 3.94/4.34 full subsumption: 67255
% 3.94/4.34
% 3.94/4.34 checksum: 346184702
% 3.94/4.34
% 3.94/4.34
% 3.94/4.34 Bliksem ended
%------------------------------------------------------------------------------