TSTP Solution File: SWC130-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC130-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:34:05 EDT 2022
% Result : Unsatisfiable 0.77s 1.20s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC130-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 03:46:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.75/1.12 *** allocated 10000 integers for termspace/termends
% 0.75/1.12 *** allocated 10000 integers for clauses
% 0.75/1.12 *** allocated 10000 integers for justifications
% 0.75/1.12 Bliksem 1.12
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Automatic Strategy Selection
% 0.75/1.12
% 0.75/1.12 Clauses:
% 0.75/1.12 [
% 0.75/1.12 [ equalelemsP( nil ) ],
% 0.75/1.12 [ duplicatefreeP( nil ) ],
% 0.75/1.12 [ strictorderedP( nil ) ],
% 0.75/1.12 [ totalorderedP( nil ) ],
% 0.75/1.12 [ strictorderP( nil ) ],
% 0.75/1.12 [ totalorderP( nil ) ],
% 0.75/1.12 [ cyclefreeP( nil ) ],
% 0.75/1.12 [ ssList( nil ) ],
% 0.75/1.12 [ ssItem( skac3 ) ],
% 0.75/1.12 [ ssItem( skac2 ) ],
% 0.75/1.12 [ ~( singletonP( nil ) ) ],
% 0.75/1.12 [ ssItem( skaf83( X ) ) ],
% 0.75/1.12 [ ssList( skaf82( X ) ) ],
% 0.75/1.12 [ ssList( skaf81( X ) ) ],
% 0.75/1.12 [ ssList( skaf80( X ) ) ],
% 0.75/1.12 [ ssItem( skaf79( X ) ) ],
% 0.75/1.12 [ ssItem( skaf78( X ) ) ],
% 0.75/1.12 [ ssList( skaf77( X ) ) ],
% 0.75/1.12 [ ssList( skaf76( X ) ) ],
% 0.75/1.12 [ ssList( skaf75( X ) ) ],
% 0.75/1.12 [ ssItem( skaf74( X ) ) ],
% 0.75/1.12 [ ssList( skaf73( X ) ) ],
% 0.75/1.12 [ ssList( skaf72( X ) ) ],
% 0.75/1.12 [ ssList( skaf71( X ) ) ],
% 0.75/1.12 [ ssItem( skaf70( X ) ) ],
% 0.75/1.12 [ ssItem( skaf69( X ) ) ],
% 0.75/1.12 [ ssList( skaf68( X ) ) ],
% 0.75/1.12 [ ssList( skaf67( X ) ) ],
% 0.75/1.12 [ ssList( skaf66( X ) ) ],
% 0.75/1.12 [ ssItem( skaf65( X ) ) ],
% 0.75/1.12 [ ssItem( skaf64( X ) ) ],
% 0.75/1.12 [ ssList( skaf63( X ) ) ],
% 0.75/1.12 [ ssList( skaf62( X ) ) ],
% 0.75/1.12 [ ssList( skaf61( X ) ) ],
% 0.75/1.12 [ ssItem( skaf60( X ) ) ],
% 0.75/1.12 [ ssItem( skaf59( X ) ) ],
% 0.75/1.12 [ ssList( skaf58( X ) ) ],
% 0.75/1.12 [ ssList( skaf57( X ) ) ],
% 0.75/1.12 [ ssList( skaf56( X ) ) ],
% 0.75/1.12 [ ssItem( skaf55( X ) ) ],
% 0.75/1.12 [ ssItem( skaf54( X ) ) ],
% 0.75/1.12 [ ssList( skaf53( X ) ) ],
% 0.75/1.12 [ ssList( skaf52( X ) ) ],
% 0.75/1.12 [ ssList( skaf51( X ) ) ],
% 0.75/1.12 [ ssItem( skaf50( X ) ) ],
% 0.75/1.12 [ ssItem( skaf49( X ) ) ],
% 0.75/1.12 [ ssItem( skaf44( X ) ) ],
% 0.75/1.12 [ ssList( skaf48( X, Y ) ) ],
% 0.75/1.12 [ ssList( skaf47( X, Y ) ) ],
% 0.75/1.12 [ ssList( skaf46( X, Y ) ) ],
% 0.75/1.12 [ ssList( skaf45( X, Y ) ) ],
% 0.75/1.12 [ ssList( skaf43( X, Y ) ) ],
% 0.75/1.12 [ ssList( skaf42( X, Y ) ) ],
% 0.75/1.12 [ ~( =( skac3, skac2 ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.75/1.12 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.75/1.12 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.75/1.12 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.75/1.12 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.75/1.12 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.75/1.12 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.75/1.12 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.75/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.75/1.12 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.75/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.75/1.12 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.75/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.75/1.12 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.75/1.12 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.75/1.12 ],
% 0.75/1.12 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.75/1.12 X ) ],
% 0.75/1.12 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.75/1.12 X ) ],
% 0.75/1.12 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.75/1.12 ) ],
% 0.75/1.12 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.75/1.12 ) ],
% 0.75/1.12 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.75/1.12 ) ],
% 0.75/1.12 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.75/1.12 ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.75/1.12 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.75/1.12 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.75/1.12 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.75/1.12 ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.75/1.12 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.75/1.12 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.75/1.12 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.75/1.12 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.75/1.12 ) ],
% 0.75/1.12 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.75/1.12 cons( Y, X ) ) ],
% 0.75/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.75/1.12 cons( Y, X ) ) ],
% 0.75/1.12 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.75/1.12 singletonP( Y ) ],
% 0.75/1.12 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.75/1.12 , X ) ],
% 0.75/1.12 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.75/1.12 , Y ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.75/1.12 X, Y ) ) ],
% 0.75/1.12 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.75/1.12 , Y ) ],
% 0.75/1.12 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.75/1.12 , Y ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.75/1.12 , hd( Y ) ) ],
% 0.75/1.12 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.75/1.12 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.75/1.12 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.75/1.12 , totalorderedP( Y ), =( nil, Y ) ],
% 0.75/1.12 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.75/1.12 , =( Y, X ) ],
% 0.75/1.12 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.75/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.75/1.12 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.75/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.75/1.12 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.75/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.75/1.12 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.75/1.12 , =( Y, X ) ],
% 0.75/1.12 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.75/1.12 skaf46( X, Y ), Y ), X ) ],
% 0.75/1.12 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.75/1.12 , skaf45( X, Y ) ), X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.75/1.12 , app( tl( Y ), X ) ) ],
% 0.75/1.12 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.75/1.12 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.75/1.12 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.75/1.12 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.75/1.12 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.75/1.12 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.75/1.12 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.75/1.12 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.75/1.12 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.75/1.12 memberP( cons( Y, Z ), X ) ],
% 0.75/1.12 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.75/1.12 ) ), memberP( cons( Z, X ), Y ) ],
% 0.75/1.12 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.75/1.12 ) ), memberP( app( X, Z ), Y ) ],
% 0.75/1.12 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.75/1.12 ) ), memberP( app( Z, X ), Y ) ],
% 0.75/1.12 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.75/1.12 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.75/1.12 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.75/1.12 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.75/1.12 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.75/1.12 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.75/1.12 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.75/1.12 , =( app( X, Y ), nil ) ],
% 0.75/1.12 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.75/1.12 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.75/1.12 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.75/1.12 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.75/1.12 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.75/1.12 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.75/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.75/1.12 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.75/1.12 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.75/1.12 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.75/1.12 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.75/1.12 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.75/1.12 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.75/1.12 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.75/1.12 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.75/1.12 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.75/1.12 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.75/1.12 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.75/1.12 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.75/1.12 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.75/1.12 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.75/1.12 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.75/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.75/1.12 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.75/1.12 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.75/1.12 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.75/1.12 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.75/1.12 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.75/1.12 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.75/1.12 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.75/1.12 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.75/1.12 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.75/1.12 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.75/1.12 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.75/1.12 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.75/1.12 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.75/1.12 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.75/1.12 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.75/1.12 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.75/1.12 ,
% 0.75/1.12 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.75/1.12 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.75/1.12 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.75/1.12 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.75/1.12 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.75/1.12 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.75/1.12 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.75/1.12 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.75/1.12 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.77/1.20 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.77/1.20 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.77/1.20 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.77/1.20 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.77/1.20 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.77/1.20 ,
% 0.77/1.20 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.77/1.20 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.77/1.20 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.77/1.20 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.77/1.20 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.77/1.20 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.77/1.20 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.77/1.20 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.77/1.20 T, Y ) ) ],
% 0.77/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.77/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.77/1.20 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.77/1.20 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.77/1.20 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.77/1.20 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.77/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.77/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.77/1.20 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.77/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.77/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.77/1.20 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.77/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.77/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.77/1.20 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.77/1.20 ,
% 0.77/1.20 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.77/1.20 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.77/1.20 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.77/1.20 ,
% 0.77/1.20 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.77/1.20 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.77/1.20 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.77/1.20 W ) ) ],
% 0.77/1.20 [ ssList( sk1 ) ],
% 0.77/1.20 [ ssList( sk2 ) ],
% 0.77/1.20 [ ssList( sk3 ) ],
% 0.77/1.20 [ ssList( sk4 ) ],
% 0.77/1.20 [ =( sk2, sk4 ) ],
% 0.77/1.20 [ =( sk1, sk3 ) ],
% 0.77/1.20 [ ~( neq( sk4, nil ) ) ],
% 0.77/1.20 [ ~( cyclefreeP( sk2 ) ) ]
% 0.77/1.20 ] .
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 percentage equality = 0.161398, percentage horn = 0.842105
% 0.77/1.20 This is a problem with some equality
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 Options Used:
% 0.77/1.20
% 0.77/1.20 useres = 1
% 0.77/1.20 useparamod = 1
% 0.77/1.20 useeqrefl = 1
% 0.77/1.20 useeqfact = 1
% 0.77/1.20 usefactor = 1
% 0.77/1.20 usesimpsplitting = 0
% 0.77/1.20 usesimpdemod = 5
% 0.77/1.20 usesimpres = 3
% 0.77/1.20
% 0.77/1.20 resimpinuse = 1000
% 0.77/1.20 resimpclauses = 20000
% 0.77/1.20 substype = eqrewr
% 0.77/1.20 backwardsubs = 1
% 0.77/1.20 selectoldest = 5
% 0.77/1.20
% 0.77/1.20 litorderings [0] = split
% 0.77/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.20
% 0.77/1.20 termordering = kbo
% 0.77/1.20
% 0.77/1.20 litapriori = 0
% 0.77/1.20 termapriori = 1
% 0.77/1.20 litaposteriori = 0
% 0.77/1.20 termaposteriori = 0
% 0.77/1.20 demodaposteriori = 0
% 0.77/1.20 ordereqreflfact = 0
% 0.77/1.20
% 0.77/1.20 litselect = negord
% 0.77/1.20
% 0.77/1.20 maxweight = 15
% 0.77/1.20 maxdepth = 30000
% 0.77/1.20 maxlength = 115
% 0.77/1.20 maxnrvars = 195
% 0.77/1.20 excuselevel = 1
% 0.77/1.20 increasemaxweight = 1
% 0.77/1.20
% 0.77/1.20 maxselected = 10000000
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20
% 0.77/1.20 showgenerated = 0
% 0.77/1.20 showkept = 0
% 0.77/1.20 showselected = 0
% 0.77/1.20 showdeleted = 0
% 0.77/1.20 showresimp = 1
% 0.77/1.20 showstatus = 2000
% 0.77/1.20
% 0.77/1.20 prologoutput = 1
% 0.77/1.20 nrgoals = 5000000
% 0.77/1.20 totalproof = 1
% 0.77/1.20
% 0.77/1.20 Symbols occurring in the translation:
% 0.77/1.20
% 0.77/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.20 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.77/1.20 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.77/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.20 nil [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.77/1.20 equalelemsP [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.77/1.20 duplicatefreeP [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.77/1.20 strictorderedP [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.77/1.20 totalorderedP [43, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.77/1.20 strictorderP [44, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.77/1.20 totalorderP [45, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.77/1.20 cyclefreeP [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.77/1.20 ssList [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.77/1.20 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.77/1.20 ssItem [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.77/1.20 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.77/1.20 singletonP [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.77/1.20 skaf83 [53, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.77/1.20 skaf82 [54, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.77/1.20 skaf81 [55, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.77/1.20 skaf80 [56, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.77/1.20 skaf79 [57, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.77/1.20 skaf78 [58, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.77/1.20 skaf77 [59, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.77/1.20 skaf76 [60, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.77/1.20 skaf75 [61, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.77/1.20 skaf74 [62, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.77/1.20 skaf73 [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.77/1.20 skaf72 [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.77/1.20 skaf71 [65, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.77/1.20 skaf70 [66, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.77/1.20 skaf69 [67, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.77/1.20 skaf68 [68, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.77/1.20 skaf67 [69, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.77/1.20 skaf66 [70, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.77/1.20 skaf65 [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.77/1.20 skaf64 [72, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.77/1.20 skaf63 [73, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.77/1.20 skaf62 [74, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.77/1.20 skaf61 [75, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.77/1.20 skaf60 [76, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.77/1.20 skaf59 [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.77/1.20 skaf58 [78, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.77/1.20 skaf57 [79, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.77/1.20 skaf56 [80, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.77/1.20 skaf55 [81, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.77/1.20 skaf54 [82, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.77/1.20 skaf53 [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.77/1.20 skaf52 [84, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.77/1.20 skaf51 [85, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.77/1.20 skaf50 [86, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.77/1.20 skaf49 [87, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.77/1.20 skaf44 [88, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.77/1.20 skaf48 [90, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.77/1.20 skaf47 [91, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.77/1.20 skaf46 [92, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.77/1.20 skaf45 [93, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.77/1.20 skaf43 [94, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.77/1.20 skaf42 [95, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.77/1.20 geq [96, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.77/1.20 segmentP [97, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.77/1.20 rearsegP [98, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.77/1.20 frontsegP [99, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.77/1.20 leq [100, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.77/1.20 lt [101, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.77/1.20 cons [102, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.77/1.20 memberP [103, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.77/1.20 app [104, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.77/1.20 tl [105, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.77/1.20 hd [106, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.77/1.20 neq [107, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.77/1.20 gt [108, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.77/1.20 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.77/1.20 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.77/1.20 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.77/1.20 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 Intermediate Status:
% 0.77/1.20 Generated: 4143
% 0.77/1.20 Kept: 2089
% 0.77/1.20 Inuse: 204
% 0.77/1.20 Deleted: 2
% 0.77/1.20 Deletedinuse: 0
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 Bliksems!, er is een bewijs:
% 0.77/1.20 % SZS status Unsatisfiable
% 0.77/1.20 % SZS output start Refutation
% 0.77/1.20
% 0.77/1.20 clause( 6, [ cyclefreeP( nil ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 7, [ ssList( nil ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 0.77/1.20 )
% 0.77/1.20 .
% 0.77/1.20 clause( 183, [ ssList( sk2 ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 186, [ =( sk4, sk2 ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 188, [ ~( neq( sk2, nil ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 189, [ ~( cyclefreeP( sk2 ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 3141, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 3759, [ =( nil, sk2 ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 3902, [] )
% 0.77/1.20 .
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 % SZS output end Refutation
% 0.77/1.20 found a proof!
% 0.77/1.20
% 0.77/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.20
% 0.77/1.20 initialclauses(
% 0.77/1.20 [ clause( 3904, [ equalelemsP( nil ) ] )
% 0.77/1.20 , clause( 3905, [ duplicatefreeP( nil ) ] )
% 0.77/1.20 , clause( 3906, [ strictorderedP( nil ) ] )
% 0.77/1.20 , clause( 3907, [ totalorderedP( nil ) ] )
% 0.77/1.20 , clause( 3908, [ strictorderP( nil ) ] )
% 0.77/1.20 , clause( 3909, [ totalorderP( nil ) ] )
% 0.77/1.20 , clause( 3910, [ cyclefreeP( nil ) ] )
% 0.77/1.20 , clause( 3911, [ ssList( nil ) ] )
% 0.77/1.20 , clause( 3912, [ ssItem( skac3 ) ] )
% 0.77/1.20 , clause( 3913, [ ssItem( skac2 ) ] )
% 0.77/1.20 , clause( 3914, [ ~( singletonP( nil ) ) ] )
% 0.77/1.20 , clause( 3915, [ ssItem( skaf83( X ) ) ] )
% 0.77/1.20 , clause( 3916, [ ssList( skaf82( X ) ) ] )
% 0.77/1.20 , clause( 3917, [ ssList( skaf81( X ) ) ] )
% 0.77/1.20 , clause( 3918, [ ssList( skaf80( X ) ) ] )
% 0.77/1.20 , clause( 3919, [ ssItem( skaf79( X ) ) ] )
% 0.77/1.20 , clause( 3920, [ ssItem( skaf78( X ) ) ] )
% 0.77/1.20 , clause( 3921, [ ssList( skaf77( X ) ) ] )
% 0.77/1.20 , clause( 3922, [ ssList( skaf76( X ) ) ] )
% 0.77/1.20 , clause( 3923, [ ssList( skaf75( X ) ) ] )
% 0.77/1.20 , clause( 3924, [ ssItem( skaf74( X ) ) ] )
% 0.77/1.20 , clause( 3925, [ ssList( skaf73( X ) ) ] )
% 0.77/1.20 , clause( 3926, [ ssList( skaf72( X ) ) ] )
% 0.77/1.20 , clause( 3927, [ ssList( skaf71( X ) ) ] )
% 0.77/1.20 , clause( 3928, [ ssItem( skaf70( X ) ) ] )
% 0.77/1.20 , clause( 3929, [ ssItem( skaf69( X ) ) ] )
% 0.77/1.20 , clause( 3930, [ ssList( skaf68( X ) ) ] )
% 0.77/1.20 , clause( 3931, [ ssList( skaf67( X ) ) ] )
% 0.77/1.20 , clause( 3932, [ ssList( skaf66( X ) ) ] )
% 0.77/1.20 , clause( 3933, [ ssItem( skaf65( X ) ) ] )
% 0.77/1.20 , clause( 3934, [ ssItem( skaf64( X ) ) ] )
% 0.77/1.20 , clause( 3935, [ ssList( skaf63( X ) ) ] )
% 0.77/1.20 , clause( 3936, [ ssList( skaf62( X ) ) ] )
% 0.77/1.20 , clause( 3937, [ ssList( skaf61( X ) ) ] )
% 0.77/1.20 , clause( 3938, [ ssItem( skaf60( X ) ) ] )
% 0.77/1.20 , clause( 3939, [ ssItem( skaf59( X ) ) ] )
% 0.77/1.20 , clause( 3940, [ ssList( skaf58( X ) ) ] )
% 0.77/1.20 , clause( 3941, [ ssList( skaf57( X ) ) ] )
% 0.77/1.20 , clause( 3942, [ ssList( skaf56( X ) ) ] )
% 0.77/1.20 , clause( 3943, [ ssItem( skaf55( X ) ) ] )
% 0.77/1.20 , clause( 3944, [ ssItem( skaf54( X ) ) ] )
% 0.77/1.20 , clause( 3945, [ ssList( skaf53( X ) ) ] )
% 0.77/1.20 , clause( 3946, [ ssList( skaf52( X ) ) ] )
% 0.77/1.20 , clause( 3947, [ ssList( skaf51( X ) ) ] )
% 0.77/1.20 , clause( 3948, [ ssItem( skaf50( X ) ) ] )
% 0.77/1.20 , clause( 3949, [ ssItem( skaf49( X ) ) ] )
% 0.77/1.20 , clause( 3950, [ ssItem( skaf44( X ) ) ] )
% 0.77/1.20 , clause( 3951, [ ssList( skaf48( X, Y ) ) ] )
% 0.77/1.20 , clause( 3952, [ ssList( skaf47( X, Y ) ) ] )
% 0.77/1.20 , clause( 3953, [ ssList( skaf46( X, Y ) ) ] )
% 0.77/1.20 , clause( 3954, [ ssList( skaf45( X, Y ) ) ] )
% 0.77/1.20 , clause( 3955, [ ssList( skaf43( X, Y ) ) ] )
% 0.77/1.20 , clause( 3956, [ ssList( skaf42( X, Y ) ) ] )
% 0.77/1.20 , clause( 3957, [ ~( =( skac3, skac2 ) ) ] )
% 0.77/1.20 , clause( 3958, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 0.77/1.20 , clause( 3959, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 0.77/1.20 , clause( 3960, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 0.77/1.20 , clause( 3961, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 0.77/1.20 , clause( 3962, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 0.77/1.20 , clause( 3963, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 0.77/1.20 , clause( 3964, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 0.77/1.20 , clause( 3965, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 0.77/1.20 , clause( 3966, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 0.77/1.20 , clause( 3967, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 0.77/1.20 , clause( 3968, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 0.77/1.20 , clause( 3969, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 0.77/1.20 , clause( 3970, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 0.77/1.20 , clause( 3971, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 0.77/1.20 , clause( 3972, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 0.77/1.20 , clause( 3973, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 0.77/1.20 , clause( 3974, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 0.77/1.20 , clause( 3975, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 0.77/1.20 , clause( 3976, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 0.77/1.20 , clause( 3977, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 0.77/1.20 , clause( 3978, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 0.77/1.20 , clause( 3979, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 0.77/1.20 , clause( 3980, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 0.77/1.20 , clause( 3981, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 0.77/1.20 , clause( 3982, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 3983, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 3984, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 3985, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 3986, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 3987, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 3988, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) )
% 0.77/1.20 ] )
% 0.77/1.20 , clause( 3989, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 0.77/1.20 ) ] )
% 0.77/1.20 , clause( 3990, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 0.77/1.20 skaf49( X ) ) ] )
% 0.77/1.20 , clause( 3991, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 0.77/1.20 skaf50( X ) ) ] )
% 0.77/1.20 , clause( 3992, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 0.77/1.20 equalelemsP( X ) ] )
% 0.77/1.20 , clause( 3993, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 0.77/1.20 strictorderedP( X ) ] )
% 0.77/1.20 , clause( 3994, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 0.77/1.20 totalorderedP( X ) ] )
% 0.77/1.20 , clause( 3995, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 0.77/1.20 strictorderP( X ) ] )
% 0.77/1.20 , clause( 3996, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 0.77/1.20 strictorderP( X ) ] )
% 0.77/1.20 , clause( 3997, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 0.77/1.20 totalorderP( X ) ] )
% 0.77/1.20 , clause( 3998, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 0.77/1.20 totalorderP( X ) ] )
% 0.77/1.20 , clause( 3999, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) )
% 0.77/1.20 , Y ) ] )
% 0.77/1.20 , clause( 4000, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) )
% 0.77/1.20 , X ) ] )
% 0.77/1.20 , clause( 4001, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 0.77/1.20 Y ) ) ] )
% 0.77/1.20 , clause( 4002, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y
% 0.77/1.20 ) ) ] )
% 0.77/1.20 , clause( 4003, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 0.77/1.20 ) ] )
% 0.77/1.20 , clause( 4004, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 0.77/1.20 X ), nil ), X ) ] )
% 0.77/1.20 , clause( 4005, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 0.77/1.20 ) ] )
% 0.77/1.20 , clause( 4006, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 0.77/1.20 X, Y ) ] )
% 0.77/1.20 , clause( 4007, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 0.77/1.20 nil, X ) ] )
% 0.77/1.20 , clause( 4008, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 0.77/1.20 Y, X ) ] )
% 0.77/1.20 , clause( 4009, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 0.77/1.20 Y, X ) ] )
% 0.77/1.20 , clause( 4010, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 0.77/1.20 Y, X ) ] )
% 0.77/1.20 , clause( 4011, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq(
% 0.77/1.20 Y, X ) ] )
% 0.77/1.20 , clause( 4012, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 0.77/1.20 ), =( nil, X ) ] )
% 0.77/1.20 , clause( 4013, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.77/1.20 ssItem( Y ) ) ] )
% 0.77/1.20 , clause( 4014, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 0.77/1.20 ssItem( X ) ) ] )
% 0.77/1.20 , clause( 4015, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 0.77/1.20 strictorderedP( cons( Y, X ) ) ] )
% 0.77/1.20 , clause( 4016, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 0.77/1.20 totalorderedP( cons( Y, X ) ) ] )
% 0.77/1.20 , clause( 4017, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.77/1.20 ssItem( Y ) ) ] )
% 0.77/1.20 , clause( 4018, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 0.77/1.20 ssList( X ) ) ] )
% 0.77/1.20 , clause( 4019, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 0.77/1.20 Y ) ), singletonP( Y ) ] )
% 0.77/1.20 , clause( 4020, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 0.77/1.20 ssItem( X ) ) ] )
% 0.77/1.20 , clause( 4021, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 0.77/1.20 X ) ), =( nil, X ) ] )
% 0.77/1.20 , clause( 4022, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 0.77/1.20 X ) ), =( nil, Y ) ] )
% 0.77/1.20 , clause( 4023, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 0.77/1.20 ), Y ), cons( X, Y ) ) ] )
% 0.77/1.20 , clause( 4024, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 0.77/1.20 X, Y ), =( X, Y ) ] )
% 0.77/1.20 , clause( 4025, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 0.77/1.20 X, Y ), =( X, Y ) ] )
% 0.77/1.20 , clause( 4026, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 0.77/1.20 app( Y, X ) ), hd( Y ) ) ] )
% 0.77/1.20 , clause( 4027, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 0.77/1.20 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 0.77/1.20 , clause( 4028, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~(
% 0.77/1.20 ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 0.77/1.20 , clause( 4029, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.77/1.20 ssItem( Y ) ), =( Y, X ) ] )
% 0.77/1.20 , clause( 4030, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 0.77/1.20 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.77/1.20 , clause( 4031, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 0.77/1.20 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.77/1.20 , clause( 4032, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList(
% 0.77/1.20 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.77/1.20 , clause( 4033, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.77/1.20 ssItem( Y ) ), =( Y, X ) ] )
% 0.77/1.20 , clause( 4034, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.77/1.20 , =( app( skaf46( X, Y ), Y ), X ) ] )
% 0.77/1.20 , clause( 4035, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 0.77/1.20 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 0.77/1.20 , clause( 4036, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 0.77/1.20 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 0.77/1.20 , clause( 4037, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 0.77/1.20 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 0.77/1.20 , clause( 4038, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~(
% 0.77/1.20 ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 0.77/1.20 , clause( 4039, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) )
% 0.77/1.20 , ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 0.77/1.20 , clause( 4040, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 0.77/1.20 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 0.77/1.20 , clause( 4041, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 0.77/1.20 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 0.77/1.20 , clause( 4042, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 0.77/1.20 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 0.77/1.20 , clause( 4043, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.77/1.20 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 0.77/1.20 , clause( 4044, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 0.77/1.20 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 0.77/1.20 , clause( 4045, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ),
% 0.77/1.20 cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 0.77/1.20 , clause( 4046, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 0.77/1.20 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 0.77/1.20 , clause( 4047, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.77/1.20 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 0.77/1.20 , clause( 4048, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 0.77/1.20 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 0.77/1.20 , clause( 4049, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.77/1.20 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 0.77/1.20 , clause( 4050, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.77/1.20 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 0.77/1.20 , clause( 4051, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.77/1.20 ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 0.77/1.20 , clause( 4052, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =(
% 0.77/1.20 app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 0.77/1.20 , clause( 4053, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 0.77/1.20 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 0.77/1.20 , clause( 4054, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~(
% 0.77/1.20 ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 0.77/1.20 , clause( 4055, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 0.77/1.20 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 0.77/1.20 , clause( 4056, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 0.77/1.20 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 0.77/1.20 , clause( 4057, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList(
% 0.77/1.20 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 0.77/1.20 , clause( 4058, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.77/1.20 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 0.77/1.20 , clause( 4059, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.77/1.20 ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 0.77/1.20 , clause( 4060, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =(
% 0.77/1.20 cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 0.77/1.20 , clause( 4061, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 0.77/1.20 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 0.77/1.20 , clause( 4062, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 0.77/1.20 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 0.77/1.20 ) ] )
% 0.77/1.20 , clause( 4063, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 0.77/1.20 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 0.77/1.20 Y ) ] )
% 0.77/1.20 , clause( 4064, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 0.77/1.20 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 0.77/1.20 , clause( 4065, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 0.77/1.20 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 0.77/1.20 skaf77( X ) ) ), X ) ] )
% 0.77/1.20 , clause( 4066, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 0.77/1.20 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 0.77/1.20 skaf73( X ) ) ), X ) ] )
% 0.77/1.20 , clause( 4067, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66(
% 0.77/1.20 X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) )
% 0.77/1.20 ), X ) ] )
% 0.77/1.20 , clause( 4068, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 0.77/1.20 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 0.77/1.20 ), X ) ] )
% 0.77/1.20 , clause( 4069, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 0.77/1.20 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 0.77/1.20 ), X ) ] )
% 0.77/1.20 , clause( 4070, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X
% 0.77/1.20 ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 0.77/1.20 ), X ) ] )
% 0.77/1.20 , clause( 4071, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.77/1.20 , =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 0.77/1.20 , clause( 4072, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 0.77/1.20 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 0.77/1.20 , clause( 4073, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 0.77/1.20 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 0.77/1.20 , clause( 4074, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 0.77/1.20 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 0.77/1.20 , clause( 4075, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) )
% 0.77/1.20 , ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y
% 0.77/1.20 ) ] )
% 0.77/1.20 , clause( 4076, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~(
% 0.77/1.20 ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 0.77/1.20 , clause( 4077, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 0.77/1.20 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 0.77/1.20 , T ) ] )
% 0.77/1.20 , clause( 4078, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 0.77/1.20 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 4079, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 0.77/1.20 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 4080, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 0.77/1.20 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 0.77/1.20 )
% 0.77/1.20 , clause( 4081, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 0.77/1.20 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 0.77/1.20 Z, X ), cons( T, Y ) ) ] )
% 0.77/1.20 , clause( 4082, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 0.77/1.20 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 0.77/1.20 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 0.77/1.20 , clause( 4083, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList(
% 0.77/1.20 T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 0.77/1.20 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 0.77/1.25 , clause( 4084, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.77/1.25 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.77/1.25 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 0.77/1.25 ) ] )
% 0.77/1.25 , clause( 4085, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.77/1.25 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.77/1.25 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 0.77/1.25 ) ] )
% 0.77/1.25 , clause( 4086, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.77/1.25 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.77/1.25 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 0.77/1.25 , lt( T, Y ) ] )
% 0.77/1.25 , clause( 4087, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.77/1.25 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.77/1.25 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 0.77/1.25 , leq( T, Y ) ] )
% 0.77/1.25 , clause( 4088, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 0.77/1.25 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 0.77/1.25 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 0.77/1.25 ) ), ~( ssList( W ) ) ] )
% 0.77/1.25 , clause( 4089, [ ssList( sk1 ) ] )
% 0.77/1.25 , clause( 4090, [ ssList( sk2 ) ] )
% 0.77/1.25 , clause( 4091, [ ssList( sk3 ) ] )
% 0.77/1.25 , clause( 4092, [ ssList( sk4 ) ] )
% 0.77/1.25 , clause( 4093, [ =( sk2, sk4 ) ] )
% 0.77/1.25 , clause( 4094, [ =( sk1, sk3 ) ] )
% 0.77/1.25 , clause( 4095, [ ~( neq( sk4, nil ) ) ] )
% 0.77/1.25 , clause( 4096, [ ~( cyclefreeP( sk2 ) ) ] )
% 0.77/1.25 ] ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 6, [ cyclefreeP( nil ) ] )
% 0.77/1.25 , clause( 3910, [ cyclefreeP( nil ) ] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 7, [ ssList( nil ) ] )
% 0.77/1.25 , clause( 3911, [ ssList( nil ) ] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 0.77/1.25 )
% 0.77/1.25 , clause( 4003, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 0.77/1.25 ) ] )
% 0.77/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.25 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 183, [ ssList( sk2 ) ] )
% 0.77/1.25 , clause( 4090, [ ssList( sk2 ) ] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 eqswap(
% 0.77/1.25 clause( 5632, [ =( sk4, sk2 ) ] )
% 0.77/1.25 , clause( 4093, [ =( sk2, sk4 ) ] )
% 0.77/1.25 , 0, substitution( 0, [] )).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 186, [ =( sk4, sk2 ) ] )
% 0.77/1.25 , clause( 5632, [ =( sk4, sk2 ) ] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 paramod(
% 0.77/1.25 clause( 6593, [ ~( neq( sk2, nil ) ) ] )
% 0.77/1.25 , clause( 186, [ =( sk4, sk2 ) ] )
% 0.77/1.25 , 0, clause( 4095, [ ~( neq( sk4, nil ) ) ] )
% 0.77/1.25 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 188, [ ~( neq( sk2, nil ) ) ] )
% 0.77/1.25 , clause( 6593, [ ~( neq( sk2, nil ) ) ] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 189, [ ~( cyclefreeP( sk2 ) ) ] )
% 0.77/1.25 , clause( 4096, [ ~( cyclefreeP( sk2 ) ) ] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 eqswap(
% 0.77/1.25 clause( 7353, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X, Y )
% 0.77/1.25 ] )
% 0.77/1.25 , clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X )
% 0.77/1.25 ] )
% 0.77/1.25 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 resolution(
% 0.77/1.25 clause( 7354, [ =( nil, sk2 ), ~( ssList( nil ) ), ~( ssList( sk2 ) ) ] )
% 0.77/1.25 , clause( 188, [ ~( neq( sk2, nil ) ) ] )
% 0.77/1.25 , 0, clause( 7353, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X
% 0.77/1.25 , Y ) ] )
% 0.77/1.25 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 ), :=( Y, nil )] )
% 0.77/1.25 ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 resolution(
% 0.77/1.25 clause( 7355, [ =( nil, sk2 ), ~( ssList( sk2 ) ) ] )
% 0.77/1.25 , clause( 7354, [ =( nil, sk2 ), ~( ssList( nil ) ), ~( ssList( sk2 ) ) ]
% 0.77/1.25 )
% 0.77/1.25 , 1, clause( 7, [ ssList( nil ) ] )
% 0.77/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 3141, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 0.77/1.25 , clause( 7355, [ =( nil, sk2 ), ~( ssList( sk2 ) ) ] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.77/1.25 ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 resolution(
% 0.77/1.25 clause( 7358, [ =( nil, sk2 ) ] )
% 0.77/1.25 , clause( 3141, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 0.77/1.25 , 0, clause( 183, [ ssList( sk2 ) ] )
% 0.77/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 3759, [ =( nil, sk2 ) ] )
% 0.77/1.25 , clause( 7358, [ =( nil, sk2 ) ] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 paramod(
% 0.77/1.25 clause( 7361, [ cyclefreeP( sk2 ) ] )
% 0.77/1.25 , clause( 3759, [ =( nil, sk2 ) ] )
% 0.77/1.25 , 0, clause( 6, [ cyclefreeP( nil ) ] )
% 0.77/1.25 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 resolution(
% 0.77/1.25 clause( 7362, [] )
% 0.77/1.25 , clause( 189, [ ~( cyclefreeP( sk2 ) ) ] )
% 0.77/1.25 , 0, clause( 7361, [ cyclefreeP( sk2 ) ] )
% 0.77/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 subsumption(
% 0.77/1.25 clause( 3902, [] )
% 0.77/1.25 , clause( 7362, [] )
% 0.77/1.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 end.
% 0.77/1.25
% 0.77/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.25
% 0.77/1.25 Memory use:
% 0.77/1.25
% 0.77/1.25 space for terms: 48536
% 0.77/1.25 space for clauses: 208986
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 clauses generated: 7149
% 0.77/1.25 clauses kept: 3903
% 0.77/1.25 clauses selected: 280
% 0.77/1.25 clauses deleted: 3
% 0.77/1.25 clauses inuse deleted: 0
% 0.77/1.25
% 0.77/1.25 subsentry: 44566
% 0.77/1.25 literals s-matched: 28996
% 0.77/1.25 literals matched: 12467
% 0.77/1.25 full subsumption: 7772
% 0.77/1.25
% 0.77/1.25 checksum: 1097390951
% 0.77/1.25
% 0.77/1.25
% 0.77/1.25 Bliksem ended
%------------------------------------------------------------------------------