TSTP Solution File: SWC317-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC317-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 19:35:49 EDT 2022
% Result : Unsatisfiable 4.03s 4.44s
% Output : Refutation 4.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC317-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 12 10:32:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11 [
% 0.72/1.11 [ equalelemsP( nil ) ],
% 0.72/1.11 [ duplicatefreeP( nil ) ],
% 0.72/1.11 [ strictorderedP( nil ) ],
% 0.72/1.11 [ totalorderedP( nil ) ],
% 0.72/1.11 [ strictorderP( nil ) ],
% 0.72/1.11 [ totalorderP( nil ) ],
% 0.72/1.11 [ cyclefreeP( nil ) ],
% 0.72/1.11 [ ssList( nil ) ],
% 0.72/1.11 [ ssItem( skac3 ) ],
% 0.72/1.11 [ ssItem( skac2 ) ],
% 0.72/1.11 [ ~( singletonP( nil ) ) ],
% 0.72/1.11 [ ssItem( skaf83( X ) ) ],
% 0.72/1.11 [ ssList( skaf82( X ) ) ],
% 0.72/1.11 [ ssList( skaf81( X ) ) ],
% 0.72/1.11 [ ssList( skaf80( X ) ) ],
% 0.72/1.11 [ ssItem( skaf79( X ) ) ],
% 0.72/1.11 [ ssItem( skaf78( X ) ) ],
% 0.72/1.11 [ ssList( skaf77( X ) ) ],
% 0.72/1.11 [ ssList( skaf76( X ) ) ],
% 0.72/1.11 [ ssList( skaf75( X ) ) ],
% 0.72/1.11 [ ssItem( skaf74( X ) ) ],
% 0.72/1.11 [ ssList( skaf73( X ) ) ],
% 0.72/1.11 [ ssList( skaf72( X ) ) ],
% 0.72/1.11 [ ssList( skaf71( X ) ) ],
% 0.72/1.11 [ ssItem( skaf70( X ) ) ],
% 0.72/1.11 [ ssItem( skaf69( X ) ) ],
% 0.72/1.11 [ ssList( skaf68( X ) ) ],
% 0.72/1.11 [ ssList( skaf67( X ) ) ],
% 0.72/1.11 [ ssList( skaf66( X ) ) ],
% 0.72/1.11 [ ssItem( skaf65( X ) ) ],
% 0.72/1.11 [ ssItem( skaf64( X ) ) ],
% 0.72/1.11 [ ssList( skaf63( X ) ) ],
% 0.72/1.11 [ ssList( skaf62( X ) ) ],
% 0.72/1.11 [ ssList( skaf61( X ) ) ],
% 0.72/1.11 [ ssItem( skaf60( X ) ) ],
% 0.72/1.11 [ ssItem( skaf59( X ) ) ],
% 0.72/1.11 [ ssList( skaf58( X ) ) ],
% 0.72/1.11 [ ssList( skaf57( X ) ) ],
% 0.72/1.11 [ ssList( skaf56( X ) ) ],
% 0.72/1.11 [ ssItem( skaf55( X ) ) ],
% 0.72/1.11 [ ssItem( skaf54( X ) ) ],
% 0.72/1.11 [ ssList( skaf53( X ) ) ],
% 0.72/1.11 [ ssList( skaf52( X ) ) ],
% 0.72/1.11 [ ssList( skaf51( X ) ) ],
% 0.72/1.11 [ ssItem( skaf50( X ) ) ],
% 0.72/1.11 [ ssItem( skaf49( X ) ) ],
% 0.72/1.11 [ ssItem( skaf44( X ) ) ],
% 0.72/1.11 [ ssList( skaf48( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf47( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf46( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf45( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf43( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf42( X, Y ) ) ],
% 0.72/1.11 [ ~( =( skac3, skac2 ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.72/1.11 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.72/1.11 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.72/1.11 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.72/1.11 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.11 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.72/1.11 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.72/1.11 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.72/1.11 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.72/1.11 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.72/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.72/1.11 ],
% 0.72/1.11 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.72/1.11 X ) ],
% 0.72/1.11 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.72/1.11 X ) ],
% 0.72/1.11 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.72/1.11 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.11 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.11 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.11 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.72/1.11 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.72/1.11 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.72/1.11 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.72/1.11 cons( Y, X ) ) ],
% 0.72/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.72/1.11 cons( Y, X ) ) ],
% 0.72/1.11 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.72/1.11 singletonP( Y ) ],
% 0.72/1.11 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.11 , X ) ],
% 0.72/1.11 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.11 , Y ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.72/1.11 X, Y ) ) ],
% 0.72/1.11 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.11 , Y ) ],
% 0.72/1.11 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.11 , Y ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.72/1.11 , hd( Y ) ) ],
% 0.72/1.11 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.11 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.72/1.11 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.11 , totalorderedP( Y ), =( nil, Y ) ],
% 0.72/1.11 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.11 , =( Y, X ) ],
% 0.72/1.11 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.11 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.11 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.11 , =( Y, X ) ],
% 0.72/1.11 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.72/1.11 skaf46( X, Y ), Y ), X ) ],
% 0.72/1.11 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.72/1.11 , skaf45( X, Y ) ), X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.72/1.11 , app( tl( Y ), X ) ) ],
% 0.72/1.11 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.11 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.11 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.11 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.11 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.72/1.11 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.72/1.11 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.72/1.11 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.72/1.11 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.72/1.11 memberP( cons( Y, Z ), X ) ],
% 0.72/1.11 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.72/1.11 ) ), memberP( cons( Z, X ), Y ) ],
% 0.72/1.11 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.72/1.11 ) ), memberP( app( X, Z ), Y ) ],
% 0.72/1.11 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.72/1.11 ) ), memberP( app( Z, X ), Y ) ],
% 0.72/1.11 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.72/1.11 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.72/1.11 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.72/1.11 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.72/1.11 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.72/1.11 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.72/1.11 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.11 , =( app( X, Y ), nil ) ],
% 0.72/1.11 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.72/1.11 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.72/1.11 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.11 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.11 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.11 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.72/1.11 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.72/1.11 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.11 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.72/1.11 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.72/1.11 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.72/1.11 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.11 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.72/1.11 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.11 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.72/1.11 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.11 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.72/1.11 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.72/1.11 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.11 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.72/1.11 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.72/1.11 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.72/1.11 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.72/1.11 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.72/1.11 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.11 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.72/1.11 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.11 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.72/1.11 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.72/1.11 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.72/1.11 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.72/1.11 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.72/1.11 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.72/1.11 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.72/1.11 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.72/1.11 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.72/1.11 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.72/1.11 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.72/1.11 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.11 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.72/1.11 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.11 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.72/1.11 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.72/1.11 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.72/1.11 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.72/1.11 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.72/1.11 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.72/1.11 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.72/1.11 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.72/1.11 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.72/1.11 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.72/1.11 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.72/1.11 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.72/1.11 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.72/1.11 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.72/1.11 T, Y ) ) ],
% 0.72/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.72/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.72/1.11 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.72/1.11 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.72/1.11 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.72/1.11 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.72/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.11 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.72/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.11 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.72/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.11 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.11 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.72/1.11 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.72/1.11 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.72/1.11 W ) ) ],
% 0.72/1.11 [ ssList( sk1 ) ],
% 0.72/1.11 [ ssList( sk2 ) ],
% 0.72/1.11 [ ssList( sk3 ) ],
% 0.72/1.11 [ ssList( sk4 ) ],
% 0.72/1.11 [ =( sk2, sk4 ) ],
% 0.72/1.11 [ =( sk1, sk3 ) ],
% 0.72/1.11 [ neq( sk2, nil ), neq( sk2, nil ) ],
% 0.72/1.11 [ neq( sk2, nil ), ~( neq( sk4, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, nil ), Y ),
% 0.72/1.11 sk1 ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), neq( sk2, nil ) ],
% 0.72/1.11 [ ssItem( sk5 ), neq( sk2, nil ) ],
% 0.72/1.11 [ ssList( sk6 ), neq( sk2, nil ) ],
% 0.72/1.11 [ =( app( cons( sk5, nil ), sk6 ), sk3 ), neq( sk2, nil ) ],
% 0.72/1.11 [ =( app( sk6, cons( sk5, nil ) ), sk4 ), neq( sk2, nil ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, nil ), Y ),
% 0.72/1.11 sk1 ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), ~( neq( sk4, nil ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ],
% 0.72/1.11 [ ssList( sk6 ), ~( neq( sk4, nil ) ) ],
% 0.72/1.11 [ =( app( cons( sk5, nil ), sk6 ), sk3 ), ~( neq( sk4, nil ) ) ],
% 0.72/1.11 [ =( app( sk6, cons( sk5, nil ) ), sk4 ), ~( neq( sk4, nil ) ) ]
% 0.72/1.11 ] .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 percentage equality = 0.163430, percentage horn = 0.831633
% 0.72/1.11 This is a problem with some equality
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Options Used:
% 0.72/1.11
% 0.72/1.11 useres = 1
% 0.72/1.11 useparamod = 1
% 0.72/1.11 useeqrefl = 1
% 0.72/1.11 useeqfact = 1
% 0.72/1.11 usefactor = 1
% 0.72/1.11 usesimpsplitting = 0
% 0.72/1.11 usesimpdemod = 5
% 0.72/1.11 usesimpres = 3
% 0.72/1.11
% 0.72/1.11 resimpinuse = 1000
% 0.72/1.11 resimpclauses = 20000
% 0.72/1.11 substype = eqrewr
% 0.72/1.11 backwardsubs = 1
% 0.72/1.11 selectoldest = 5
% 0.72/1.11
% 0.72/1.11 litorderings [0] = split
% 0.72/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.11
% 0.72/1.11 termordering = kbo
% 0.72/1.11
% 0.72/1.11 litapriori = 0
% 0.72/1.11 termapriori = 1
% 0.72/1.11 litaposteriori = 0
% 0.72/1.11 termaposteriori = 0
% 0.72/1.11 demodaposteriori = 0
% 4.03/4.44 ordereqreflfact = 0
% 4.03/4.44
% 4.03/4.44 litselect = negord
% 4.03/4.44
% 4.03/4.44 maxweight = 15
% 4.03/4.44 maxdepth = 30000
% 4.03/4.44 maxlength = 115
% 4.03/4.44 maxnrvars = 195
% 4.03/4.44 excuselevel = 1
% 4.03/4.44 increasemaxweight = 1
% 4.03/4.44
% 4.03/4.44 maxselected = 10000000
% 4.03/4.44 maxnrclauses = 10000000
% 4.03/4.44
% 4.03/4.44 showgenerated = 0
% 4.03/4.44 showkept = 0
% 4.03/4.44 showselected = 0
% 4.03/4.44 showdeleted = 0
% 4.03/4.44 showresimp = 1
% 4.03/4.44 showstatus = 2000
% 4.03/4.44
% 4.03/4.44 prologoutput = 1
% 4.03/4.44 nrgoals = 5000000
% 4.03/4.44 totalproof = 1
% 4.03/4.44
% 4.03/4.44 Symbols occurring in the translation:
% 4.03/4.44
% 4.03/4.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.03/4.44 . [1, 2] (w:1, o:79, a:1, s:1, b:0),
% 4.03/4.44 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 4.03/4.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.03/4.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.03/4.44 nil [39, 0] (w:1, o:17, a:1, s:1, b:0),
% 4.03/4.44 equalelemsP [40, 1] (w:1, o:33, a:1, s:1, b:0),
% 4.03/4.44 duplicatefreeP [41, 1] (w:1, o:32, a:1, s:1, b:0),
% 4.03/4.44 strictorderedP [42, 1] (w:1, o:36, a:1, s:1, b:0),
% 4.03/4.44 totalorderedP [43, 1] (w:1, o:75, a:1, s:1, b:0),
% 4.03/4.44 strictorderP [44, 1] (w:1, o:37, a:1, s:1, b:0),
% 4.03/4.44 totalorderP [45, 1] (w:1, o:76, a:1, s:1, b:0),
% 4.03/4.44 cyclefreeP [46, 1] (w:1, o:31, a:1, s:1, b:0),
% 4.03/4.44 ssList [47, 1] (w:1, o:34, a:1, s:1, b:0),
% 4.03/4.44 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 4.03/4.44 ssItem [49, 1] (w:1, o:35, a:1, s:1, b:0),
% 4.03/4.44 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 4.03/4.44 singletonP [51, 1] (w:1, o:38, a:1, s:1, b:0),
% 4.03/4.44 skaf83 [53, 1] (w:1, o:74, a:1, s:1, b:0),
% 4.03/4.44 skaf82 [54, 1] (w:1, o:73, a:1, s:1, b:0),
% 4.03/4.44 skaf81 [55, 1] (w:1, o:72, a:1, s:1, b:0),
% 4.03/4.44 skaf80 [56, 1] (w:1, o:71, a:1, s:1, b:0),
% 4.03/4.44 skaf79 [57, 1] (w:1, o:70, a:1, s:1, b:0),
% 4.03/4.44 skaf78 [58, 1] (w:1, o:69, a:1, s:1, b:0),
% 4.03/4.44 skaf77 [59, 1] (w:1, o:68, a:1, s:1, b:0),
% 4.03/4.44 skaf76 [60, 1] (w:1, o:67, a:1, s:1, b:0),
% 4.03/4.44 skaf75 [61, 1] (w:1, o:66, a:1, s:1, b:0),
% 4.03/4.44 skaf74 [62, 1] (w:1, o:65, a:1, s:1, b:0),
% 4.03/4.44 skaf73 [63, 1] (w:1, o:64, a:1, s:1, b:0),
% 4.03/4.44 skaf72 [64, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.03/4.44 skaf71 [65, 1] (w:1, o:62, a:1, s:1, b:0),
% 4.03/4.44 skaf70 [66, 1] (w:1, o:61, a:1, s:1, b:0),
% 4.03/4.44 skaf69 [67, 1] (w:1, o:60, a:1, s:1, b:0),
% 4.03/4.44 skaf68 [68, 1] (w:1, o:59, a:1, s:1, b:0),
% 4.03/4.44 skaf67 [69, 1] (w:1, o:58, a:1, s:1, b:0),
% 4.03/4.44 skaf66 [70, 1] (w:1, o:57, a:1, s:1, b:0),
% 4.03/4.44 skaf65 [71, 1] (w:1, o:56, a:1, s:1, b:0),
% 4.03/4.44 skaf64 [72, 1] (w:1, o:55, a:1, s:1, b:0),
% 4.03/4.44 skaf63 [73, 1] (w:1, o:54, a:1, s:1, b:0),
% 4.03/4.44 skaf62 [74, 1] (w:1, o:53, a:1, s:1, b:0),
% 4.03/4.44 skaf61 [75, 1] (w:1, o:52, a:1, s:1, b:0),
% 4.03/4.44 skaf60 [76, 1] (w:1, o:51, a:1, s:1, b:0),
% 4.03/4.44 skaf59 [77, 1] (w:1, o:50, a:1, s:1, b:0),
% 4.03/4.44 skaf58 [78, 1] (w:1, o:49, a:1, s:1, b:0),
% 4.03/4.44 skaf57 [79, 1] (w:1, o:48, a:1, s:1, b:0),
% 4.03/4.44 skaf56 [80, 1] (w:1, o:47, a:1, s:1, b:0),
% 4.03/4.44 skaf55 [81, 1] (w:1, o:46, a:1, s:1, b:0),
% 4.03/4.44 skaf54 [82, 1] (w:1, o:45, a:1, s:1, b:0),
% 4.03/4.44 skaf53 [83, 1] (w:1, o:44, a:1, s:1, b:0),
% 4.03/4.44 skaf52 [84, 1] (w:1, o:43, a:1, s:1, b:0),
% 4.03/4.44 skaf51 [85, 1] (w:1, o:42, a:1, s:1, b:0),
% 4.03/4.44 skaf50 [86, 1] (w:1, o:41, a:1, s:1, b:0),
% 4.03/4.44 skaf49 [87, 1] (w:1, o:39, a:1, s:1, b:0),
% 4.03/4.44 skaf44 [88, 1] (w:1, o:40, a:1, s:1, b:0),
% 4.03/4.44 skaf48 [90, 2] (w:1, o:108, a:1, s:1, b:0),
% 4.03/4.44 skaf47 [91, 2] (w:1, o:107, a:1, s:1, b:0),
% 4.03/4.44 skaf46 [92, 2] (w:1, o:106, a:1, s:1, b:0),
% 4.03/4.44 skaf45 [93, 2] (w:1, o:105, a:1, s:1, b:0),
% 4.03/4.44 skaf43 [94, 2] (w:1, o:110, a:1, s:1, b:0),
% 4.03/4.44 skaf42 [95, 2] (w:1, o:109, a:1, s:1, b:0),
% 4.03/4.44 geq [96, 2] (w:1, o:112, a:1, s:1, b:0),
% 4.03/4.44 segmentP [97, 2] (w:1, o:113, a:1, s:1, b:0),
% 4.03/4.44 rearsegP [98, 2] (w:1, o:104, a:1, s:1, b:0),
% 4.03/4.44 frontsegP [99, 2] (w:1, o:111, a:1, s:1, b:0),
% 4.03/4.44 leq [100, 2] (w:1, o:114, a:1, s:1, b:0),
% 4.03/4.44 lt [101, 2] (w:1, o:115, a:1, s:1, b:0),
% 4.03/4.44 cons [102, 2] (w:1, o:116, a:1, s:1, b:0),
% 4.03/4.44 memberP [103, 2] (w:1, o:117, a:1, s:1, b:0),
% 4.03/4.44 app [104, 2] (w:1, o:118, a:1, s:1, b:0),
% 4.03/4.44 tl [105, 1] (w:1, o:77, a:1, s:1, b:0),
% 4.03/4.44 hd [106, 1] (w:1, o:78, a:1, s:1, b:0),
% 4.03/4.44 neq [107, 2] (w:1, o:119, a:1, s:1, b:0),
% 4.03/4.44 gt [108, 2] (w:1, o:120, a:1, s:1, b:0),
% 4.03/4.44 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.03/4.44 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.03/4.44 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.03/4.44 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 4.03/4.44 sk5 [119, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.03/4.44 sk6 [120, 0] (w:1, o:12, a:1, s:1, b:0).
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Starting Search:
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 4180
% 4.03/4.44 Kept: 2095
% 4.03/4.44 Inuse: 209
% 4.03/4.44 Deleted: 2
% 4.03/4.44 Deletedinuse: 0
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 9275
% 4.03/4.44 Kept: 4824
% 4.03/4.44 Inuse: 294
% 4.03/4.44 Deleted: 2
% 4.03/4.44 Deletedinuse: 0
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 15570
% 4.03/4.44 Kept: 7529
% 4.03/4.44 Inuse: 373
% 4.03/4.44 Deleted: 3
% 4.03/4.44 Deletedinuse: 0
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 23761
% 4.03/4.44 Kept: 9548
% 4.03/4.44 Inuse: 403
% 4.03/4.44 Deleted: 3
% 4.03/4.44 Deletedinuse: 0
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 40909
% 4.03/4.44 Kept: 11787
% 4.03/4.44 Inuse: 453
% 4.03/4.44 Deleted: 5
% 4.03/4.44 Deletedinuse: 2
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 48046
% 4.03/4.44 Kept: 13809
% 4.03/4.44 Inuse: 508
% 4.03/4.44 Deleted: 5
% 4.03/4.44 Deletedinuse: 2
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 58469
% 4.03/4.44 Kept: 15839
% 4.03/4.44 Inuse: 534
% 4.03/4.44 Deleted: 6
% 4.03/4.44 Deletedinuse: 3
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 64817
% 4.03/4.44 Kept: 17955
% 4.03/4.44 Inuse: 568
% 4.03/4.44 Deleted: 6
% 4.03/4.44 Deletedinuse: 3
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 75701
% 4.03/4.44 Kept: 19968
% 4.03/4.44 Inuse: 594
% 4.03/4.44 Deleted: 8
% 4.03/4.44 Deletedinuse: 5
% 4.03/4.44
% 4.03/4.44 Resimplifying clauses:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 85495
% 4.03/4.44 Kept: 22029
% 4.03/4.44 Inuse: 623
% 4.03/4.44 Deleted: 1038
% 4.03/4.44 Deletedinuse: 14
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 96632
% 4.03/4.44 Kept: 24336
% 4.03/4.44 Inuse: 648
% 4.03/4.44 Deleted: 1038
% 4.03/4.44 Deletedinuse: 14
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 115402
% 4.03/4.44 Kept: 26487
% 4.03/4.44 Inuse: 668
% 4.03/4.44 Deleted: 1038
% 4.03/4.44 Deletedinuse: 14
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Intermediate Status:
% 4.03/4.44 Generated: 135547
% 4.03/4.44 Kept: 28647
% 4.03/4.44 Inuse: 693
% 4.03/4.44 Deleted: 1038
% 4.03/4.44 Deletedinuse: 14
% 4.03/4.44
% 4.03/4.44 Resimplifying inuse:
% 4.03/4.44 Done
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 Bliksems!, er is een bewijs:
% 4.03/4.44 % SZS status Unsatisfiable
% 4.03/4.44 % SZS output start Refutation
% 4.03/4.44
% 4.03/4.44 clause( 117, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ),
% 4.03/4.44 Y ), cons( X, Y ) ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 186, [ =( sk4, sk2 ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 187, [ =( sk3, sk1 ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 188, [ neq( sk2, nil ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X,
% 4.03/4.44 nil ) ), sk2 ) ), ~( =( cons( X, Y ), sk1 ) ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 190, [ ssItem( sk5 ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 191, [ ssList( sk6 ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 192, [ =( app( cons( sk5, nil ), sk6 ), sk1 ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 193, [ =( app( sk6, cons( sk5, nil ) ), sk2 ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 29277, [ ~( ssList( sk6 ) ), =( cons( sk5, sk6 ), sk1 ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 29418, [ ~( ssList( sk6 ) ) ] )
% 4.03/4.44 .
% 4.03/4.44 clause( 29467, [] )
% 4.03/4.44 .
% 4.03/4.44
% 4.03/4.44
% 4.03/4.44 % SZS output end Refutation
% 4.03/4.44 found a proof!
% 4.03/4.44
% 4.03/4.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.03/4.44
% 4.03/4.44 initialclauses(
% 4.03/4.44 [ clause( 29469, [ equalelemsP( nil ) ] )
% 4.03/4.44 , clause( 29470, [ duplicatefreeP( nil ) ] )
% 4.03/4.44 , clause( 29471, [ strictorderedP( nil ) ] )
% 4.03/4.44 , clause( 29472, [ totalorderedP( nil ) ] )
% 4.03/4.44 , clause( 29473, [ strictorderP( nil ) ] )
% 4.03/4.44 , clause( 29474, [ totalorderP( nil ) ] )
% 4.03/4.44 , clause( 29475, [ cyclefreeP( nil ) ] )
% 4.03/4.44 , clause( 29476, [ ssList( nil ) ] )
% 4.03/4.44 , clause( 29477, [ ssItem( skac3 ) ] )
% 4.03/4.44 , clause( 29478, [ ssItem( skac2 ) ] )
% 4.03/4.44 , clause( 29479, [ ~( singletonP( nil ) ) ] )
% 4.03/4.44 , clause( 29480, [ ssItem( skaf83( X ) ) ] )
% 4.03/4.44 , clause( 29481, [ ssList( skaf82( X ) ) ] )
% 4.03/4.44 , clause( 29482, [ ssList( skaf81( X ) ) ] )
% 4.03/4.44 , clause( 29483, [ ssList( skaf80( X ) ) ] )
% 4.03/4.44 , clause( 29484, [ ssItem( skaf79( X ) ) ] )
% 4.03/4.44 , clause( 29485, [ ssItem( skaf78( X ) ) ] )
% 4.03/4.44 , clause( 29486, [ ssList( skaf77( X ) ) ] )
% 4.03/4.44 , clause( 29487, [ ssList( skaf76( X ) ) ] )
% 4.03/4.44 , clause( 29488, [ ssList( skaf75( X ) ) ] )
% 4.03/4.44 , clause( 29489, [ ssItem( skaf74( X ) ) ] )
% 4.03/4.44 , clause( 29490, [ ssList( skaf73( X ) ) ] )
% 4.03/4.44 , clause( 29491, [ ssList( skaf72( X ) ) ] )
% 4.03/4.44 , clause( 29492, [ ssList( skaf71( X ) ) ] )
% 4.03/4.44 , clause( 29493, [ ssItem( skaf70( X ) ) ] )
% 4.03/4.44 , clause( 29494, [ ssItem( skaf69( X ) ) ] )
% 4.03/4.44 , clause( 29495, [ ssList( skaf68( X ) ) ] )
% 4.03/4.44 , clause( 29496, [ ssList( skaf67( X ) ) ] )
% 4.03/4.44 , clause( 29497, [ ssList( skaf66( X ) ) ] )
% 4.03/4.44 , clause( 29498, [ ssItem( skaf65( X ) ) ] )
% 4.03/4.44 , clause( 29499, [ ssItem( skaf64( X ) ) ] )
% 4.03/4.44 , clause( 29500, [ ssList( skaf63( X ) ) ] )
% 4.03/4.44 , clause( 29501, [ ssList( skaf62( X ) ) ] )
% 4.03/4.44 , clause( 29502, [ ssList( skaf61( X ) ) ] )
% 4.03/4.44 , clause( 29503, [ ssItem( skaf60( X ) ) ] )
% 4.03/4.44 , clause( 29504, [ ssItem( skaf59( X ) ) ] )
% 4.03/4.44 , clause( 29505, [ ssList( skaf58( X ) ) ] )
% 4.03/4.44 , clause( 29506, [ ssList( skaf57( X ) ) ] )
% 4.03/4.44 , clause( 29507, [ ssList( skaf56( X ) ) ] )
% 4.03/4.44 , clause( 29508, [ ssItem( skaf55( X ) ) ] )
% 4.03/4.44 , clause( 29509, [ ssItem( skaf54( X ) ) ] )
% 4.03/4.44 , clause( 29510, [ ssList( skaf53( X ) ) ] )
% 4.03/4.44 , clause( 29511, [ ssList( skaf52( X ) ) ] )
% 4.03/4.44 , clause( 29512, [ ssList( skaf51( X ) ) ] )
% 4.03/4.44 , clause( 29513, [ ssItem( skaf50( X ) ) ] )
% 4.03/4.44 , clause( 29514, [ ssItem( skaf49( X ) ) ] )
% 4.03/4.44 , clause( 29515, [ ssItem( skaf44( X ) ) ] )
% 4.03/4.44 , clause( 29516, [ ssList( skaf48( X, Y ) ) ] )
% 4.03/4.44 , clause( 29517, [ ssList( skaf47( X, Y ) ) ] )
% 4.03/4.44 , clause( 29518, [ ssList( skaf46( X, Y ) ) ] )
% 4.03/4.44 , clause( 29519, [ ssList( skaf45( X, Y ) ) ] )
% 4.03/4.44 , clause( 29520, [ ssList( skaf43( X, Y ) ) ] )
% 4.03/4.44 , clause( 29521, [ ssList( skaf42( X, Y ) ) ] )
% 4.03/4.44 , clause( 29522, [ ~( =( skac3, skac2 ) ) ] )
% 4.03/4.44 , clause( 29523, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 4.03/4.44 , clause( 29524, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 4.03/4.44 , clause( 29525, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.03/4.44 , clause( 29526, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 4.03/4.44 , clause( 29527, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 4.03/4.44 , clause( 29528, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 4.03/4.44 , clause( 29529, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 4.03/4.44 , clause( 29530, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 4.03/4.44 , clause( 29531, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 4.03/4.44 , clause( 29532, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 4.03/4.44 , clause( 29533, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 4.03/4.44 , clause( 29534, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 4.03/4.44 , clause( 29535, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 4.03/4.44 , clause( 29536, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 4.03/4.44 , clause( 29537, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 4.03/4.44 , clause( 29538, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 4.03/4.44 , clause( 29539, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 4.03/4.44 , clause( 29540, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 4.03/4.44 , clause( 29541, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.03/4.44 , clause( 29542, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.03/4.44 , clause( 29543, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.03/4.44 , clause( 29544, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.03/4.44 , clause( 29545, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.03/4.44 , clause( 29546, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.03/4.44 , clause( 29547, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 4.03/4.44 )
% 4.03/4.44 , clause( 29548, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.03/4.44 )
% 4.03/4.44 , clause( 29549, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 4.03/4.44 )
% 4.03/4.44 , clause( 29550, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.03/4.44 )
% 4.03/4.44 , clause( 29551, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 4.03/4.44 ] )
% 4.03/4.44 , clause( 29552, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 4.03/4.44 ] )
% 4.03/4.44 , clause( 29553, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 4.03/4.44 ) ] )
% 4.03/4.44 , clause( 29554, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 4.03/4.44 ) ] )
% 4.03/4.44 , clause( 29555, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 4.03/4.44 skaf49( X ) ) ] )
% 4.03/4.44 , clause( 29556, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 4.03/4.44 skaf50( X ) ) ] )
% 4.03/4.44 , clause( 29557, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 4.03/4.44 equalelemsP( X ) ] )
% 4.03/4.44 , clause( 29558, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 4.03/4.44 strictorderedP( X ) ] )
% 4.03/4.44 , clause( 29559, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 4.03/4.44 totalorderedP( X ) ] )
% 4.03/4.44 , clause( 29560, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 4.03/4.44 strictorderP( X ) ] )
% 4.03/4.44 , clause( 29561, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 4.03/4.44 strictorderP( X ) ] )
% 4.03/4.44 , clause( 29562, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 4.03/4.44 totalorderP( X ) ] )
% 4.03/4.44 , clause( 29563, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 4.03/4.44 totalorderP( X ) ] )
% 4.03/4.44 , clause( 29564, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 4.03/4.44 ), Y ) ] )
% 4.03/4.44 , clause( 29565, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 4.03/4.44 ), X ) ] )
% 4.03/4.44 , clause( 29566, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 4.03/4.44 Y ) ) ] )
% 4.03/4.44 , clause( 29567, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.10/4.44 Y ) ) ] )
% 4.10/4.44 , clause( 29568, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 4.10/4.44 ) ] )
% 4.10/4.44 , clause( 29569, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 4.10/4.44 X ), nil ), X ) ] )
% 4.10/4.44 , clause( 29570, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 4.10/4.44 ) ] )
% 4.10/4.44 , clause( 29571, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 4.10/4.44 X, Y ) ] )
% 4.10/4.44 , clause( 29572, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 4.10/4.44 nil, X ) ] )
% 4.10/4.44 , clause( 29573, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.10/4.44 Y, X ) ] )
% 4.10/4.44 , clause( 29574, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 4.10/4.44 Y, X ) ] )
% 4.10/4.44 , clause( 29575, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 4.10/4.44 leq( Y, X ) ] )
% 4.10/4.44 , clause( 29576, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 4.10/4.44 geq( Y, X ) ] )
% 4.10/4.44 , clause( 29577, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 4.10/4.44 ), =( nil, X ) ] )
% 4.10/4.44 , clause( 29578, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.10/4.44 ssItem( Y ) ) ] )
% 4.10/4.44 , clause( 29579, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.10/4.44 ssItem( X ) ) ] )
% 4.10/4.44 , clause( 29580, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.10/4.44 strictorderedP( cons( Y, X ) ) ] )
% 4.10/4.44 , clause( 29581, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.10/4.44 totalorderedP( cons( Y, X ) ) ] )
% 4.10/4.44 , clause( 29582, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.10/4.44 ssItem( Y ) ) ] )
% 4.10/4.44 , clause( 29583, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 4.10/4.44 ssList( X ) ) ] )
% 4.10/4.44 , clause( 29584, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.10/4.44 Y ) ), singletonP( Y ) ] )
% 4.10/4.44 , clause( 29585, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.10/4.44 ssItem( X ) ) ] )
% 4.10/4.44 , clause( 29586, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.10/4.44 X ) ), =( nil, X ) ] )
% 4.10/4.44 , clause( 29587, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.10/4.44 X ) ), =( nil, Y ) ] )
% 4.10/4.44 , clause( 29588, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 4.10/4.44 ), Y ), cons( X, Y ) ) ] )
% 4.10/4.44 , clause( 29589, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.10/4.44 X, Y ), =( X, Y ) ] )
% 4.10/4.44 , clause( 29590, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.10/4.44 X, Y ), =( X, Y ) ] )
% 4.10/4.44 , clause( 29591, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 4.10/4.44 app( Y, X ) ), hd( Y ) ) ] )
% 4.10/4.44 , clause( 29592, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.10/4.44 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 4.10/4.44 , clause( 29593, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.10/4.44 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 4.10/4.44 , clause( 29594, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 4.10/4.44 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.10/4.44 , clause( 29595, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 4.10/4.44 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.10/4.44 , clause( 29596, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 4.10/4.44 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.10/4.44 , clause( 29597, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 4.10/4.44 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.10/4.44 , clause( 29598, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 4.10/4.44 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.10/4.44 , clause( 29599, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.10/4.44 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 4.10/4.44 , clause( 29600, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.10/4.44 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 4.10/4.44 , clause( 29601, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 4.10/4.44 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 4.10/4.44 , clause( 29602, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.10/4.44 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 4.10/4.44 , clause( 29603, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.10/4.44 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 4.10/4.44 , clause( 29604, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.10/4.44 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 4.10/4.44 , clause( 29605, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.10/4.44 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 4.10/4.44 , clause( 29606, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 4.10/4.44 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 4.10/4.44 , clause( 29607, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 4.10/4.44 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 4.10/4.44 , clause( 29608, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 4.10/4.44 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 4.10/4.44 , clause( 29609, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 4.10/4.44 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 4.10/4.44 , clause( 29610, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 4.10/4.44 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 4.10/4.44 , clause( 29611, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 4.10/4.44 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 4.10/4.44 , clause( 29612, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.10/4.44 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 4.10/4.44 , clause( 29613, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 4.10/4.44 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.10/4.44 , clause( 29614, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.10/4.44 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 4.10/4.44 , clause( 29615, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.10/4.44 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.10/4.44 , clause( 29616, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.10/4.44 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 4.10/4.44 , clause( 29617, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.10/4.44 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 4.10/4.44 , clause( 29618, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 4.10/4.44 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.10/4.44 , clause( 29619, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 4.10/4.44 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 4.10/4.44 , clause( 29620, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 4.10/4.44 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 4.10/4.44 , clause( 29621, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 4.10/4.44 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 4.10/4.44 , clause( 29622, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 4.10/4.44 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 4.10/4.44 , clause( 29623, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.10/4.44 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.10/4.44 , clause( 29624, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.10/4.44 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 4.10/4.44 , clause( 29625, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.10/4.44 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 4.10/4.44 , clause( 29626, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.10/4.44 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 4.10/4.44 , clause( 29627, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 4.10/4.44 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 4.10/4.44 ) ] )
% 4.10/4.44 , clause( 29628, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 4.10/4.44 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 4.10/4.44 Y ) ] )
% 4.10/4.44 , clause( 29629, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.10/4.44 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 4.10/4.44 , clause( 29630, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 4.10/4.44 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 4.10/4.44 skaf77( X ) ) ), X ) ] )
% 4.10/4.44 , clause( 29631, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 4.10/4.44 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 4.10/4.44 skaf73( X ) ) ), X ) ] )
% 4.10/4.44 , clause( 29632, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 4.10/4.44 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 4.10/4.44 skaf68( X ) ) ), X ) ] )
% 4.10/4.44 , clause( 29633, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 4.10/4.44 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 4.10/4.44 ), X ) ] )
% 4.10/4.44 , clause( 29634, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 4.10/4.44 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 4.10/4.44 ), X ) ] )
% 4.10/4.44 , clause( 29635, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 4.10/4.44 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 4.10/4.44 ), X ) ] )
% 4.10/4.44 , clause( 29636, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.10/4.44 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 4.10/4.44 , clause( 29637, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 4.10/4.44 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 4.10/4.44 , clause( 29638, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.10/4.44 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 4.10/4.44 , clause( 29639, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.10/4.44 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 4.10/4.44 , clause( 29640, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 4.10/4.44 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 4.10/4.44 Y ) ] )
% 4.10/4.44 , clause( 29641, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 4.10/4.44 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 4.10/4.44 )
% 4.10/4.44 , clause( 29642, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.10/4.44 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 4.10/4.44 , T ) ] )
% 4.10/4.44 , clause( 29643, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 4.10/4.44 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 4.10/4.44 )
% 4.10/4.44 , clause( 29644, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.10/4.44 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 4.10/4.44 )
% 4.10/4.44 , clause( 29645, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 4.10/4.44 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 4.10/4.44 )
% 4.10/4.44 , clause( 29646, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 4.10/4.44 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 4.10/4.44 Z, X ), cons( T, Y ) ) ] )
% 4.10/4.44 , clause( 29647, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 4.10/4.44 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 4.10/4.44 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 4.10/4.44 , clause( 29648, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 4.10/4.44 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 4.10/4.44 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 4.10/4.44 , clause( 29649, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.10/4.44 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.10/4.44 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 4.10/4.44 ) ] )
% 4.10/4.44 , clause( 29650, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.10/4.44 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.10/4.44 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 4.10/4.44 ) ] )
% 4.10/4.44 , clause( 29651, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.10/4.44 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.10/4.44 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 4.10/4.44 , lt( T, Y ) ] )
% 4.10/4.44 , clause( 29652, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.10/4.44 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.10/4.47 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 4.10/4.47 , leq( T, Y ) ] )
% 4.10/4.47 , clause( 29653, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 4.10/4.47 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 4.10/4.47 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 4.10/4.47 ) ), ~( ssList( W ) ) ] )
% 4.10/4.47 , clause( 29654, [ ssList( sk1 ) ] )
% 4.10/4.47 , clause( 29655, [ ssList( sk2 ) ] )
% 4.10/4.47 , clause( 29656, [ ssList( sk3 ) ] )
% 4.10/4.47 , clause( 29657, [ ssList( sk4 ) ] )
% 4.10/4.47 , clause( 29658, [ =( sk2, sk4 ) ] )
% 4.10/4.47 , clause( 29659, [ =( sk1, sk3 ) ] )
% 4.10/4.47 , clause( 29660, [ neq( sk2, nil ), neq( sk2, nil ) ] )
% 4.10/4.47 , clause( 29661, [ neq( sk2, nil ), ~( neq( sk4, nil ) ) ] )
% 4.10/4.47 , clause( 29662, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X,
% 4.10/4.47 nil ), Y ), sk1 ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), neq( sk2,
% 4.10/4.47 nil ) ] )
% 4.10/4.47 , clause( 29663, [ ssItem( sk5 ), neq( sk2, nil ) ] )
% 4.10/4.47 , clause( 29664, [ ssList( sk6 ), neq( sk2, nil ) ] )
% 4.10/4.47 , clause( 29665, [ =( app( cons( sk5, nil ), sk6 ), sk3 ), neq( sk2, nil )
% 4.10/4.47 ] )
% 4.10/4.47 , clause( 29666, [ =( app( sk6, cons( sk5, nil ) ), sk4 ), neq( sk2, nil )
% 4.10/4.47 ] )
% 4.10/4.47 , clause( 29667, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X,
% 4.10/4.47 nil ), Y ), sk1 ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), ~( neq( sk4
% 4.10/4.47 , nil ) ) ] )
% 4.10/4.47 , clause( 29668, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 4.10/4.47 , clause( 29669, [ ssList( sk6 ), ~( neq( sk4, nil ) ) ] )
% 4.10/4.47 , clause( 29670, [ =( app( cons( sk5, nil ), sk6 ), sk3 ), ~( neq( sk4, nil
% 4.10/4.47 ) ) ] )
% 4.10/4.47 , clause( 29671, [ =( app( sk6, cons( sk5, nil ) ), sk4 ), ~( neq( sk4, nil
% 4.10/4.47 ) ) ] )
% 4.10/4.47 ] ).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 subsumption(
% 4.10/4.47 clause( 117, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ),
% 4.10/4.47 Y ), cons( X, Y ) ) ] )
% 4.10/4.47 , clause( 29588, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 4.10/4.47 ), Y ), cons( X, Y ) ) ] )
% 4.10/4.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.10/4.47 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 eqswap(
% 4.10/4.47 clause( 30492, [ =( sk4, sk2 ) ] )
% 4.10/4.47 , clause( 29658, [ =( sk2, sk4 ) ] )
% 4.10/4.47 , 0, substitution( 0, [] )).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 subsumption(
% 4.10/4.47 clause( 186, [ =( sk4, sk2 ) ] )
% 4.10/4.47 , clause( 30492, [ =( sk4, sk2 ) ] )
% 4.10/4.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 eqswap(
% 4.10/4.47 clause( 31251, [ =( sk3, sk1 ) ] )
% 4.10/4.47 , clause( 29659, [ =( sk1, sk3 ) ] )
% 4.10/4.47 , 0, substitution( 0, [] )).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 subsumption(
% 4.10/4.47 clause( 187, [ =( sk3, sk1 ) ] )
% 4.10/4.47 , clause( 31251, [ =( sk3, sk1 ) ] )
% 4.10/4.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 factor(
% 4.10/4.47 clause( 32017, [ neq( sk2, nil ) ] )
% 4.10/4.47 , clause( 29660, [ neq( sk2, nil ), neq( sk2, nil ) ] )
% 4.10/4.47 , 0, 1, substitution( 0, [] )).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 subsumption(
% 4.10/4.47 clause( 188, [ neq( sk2, nil ) ] )
% 4.10/4.47 , clause( 32017, [ neq( sk2, nil ) ] )
% 4.10/4.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 paramod(
% 4.10/4.47 clause( 33210, [ ~( =( cons( X, Y ), sk1 ) ), ~( ssItem( X ) ), ~( ssList(
% 4.10/4.47 Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) )
% 4.10/4.47 , sk2 ) ), ~( neq( sk4, nil ) ) ] )
% 4.10/4.47 , clause( 117, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil )
% 4.10/4.47 , Y ), cons( X, Y ) ) ] )
% 4.10/4.47 , 2, clause( 29667, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons(
% 4.10/4.47 X, nil ), Y ), sk1 ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), ~( neq(
% 4.10/4.47 sk4, nil ) ) ] )
% 4.10/4.47 , 2, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.10/4.47 :=( X, X ), :=( Y, Y )] )).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 factor(
% 4.10/4.47 clause( 33211, [ ~( =( cons( X, Y ), sk1 ) ), ~( ssItem( X ) ), ~( ssList(
% 4.10/4.47 Y ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), ~( neq(
% 4.10/4.47 sk4, nil ) ) ] )
% 4.10/4.47 , clause( 33210, [ ~( =( cons( X, Y ), sk1 ) ), ~( ssItem( X ) ), ~( ssList(
% 4.10/4.47 Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) )
% 4.10/4.47 , sk2 ) ), ~( neq( sk4, nil ) ) ] )
% 4.10/4.47 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.10/4.47
% 4.10/4.47
% 4.10/4.47 factor(
% 4.10/4.47 clause( 33212, [ ~( =( cons( X, Y ), sk1 ) ), ~( ssItem( X ) ), ~( ssList(
% 4.10/4.47 Y ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), ~( neq( sk4, nil ) ) ] )
% 4.10/4.47 , clause( 33211, [ ~( =( cons( X, Y ), sk1 ) ), ~( ssItem( X ) ), ~( ssList(
% 4.10/4.47 Y ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), ~( neq(
% 4.10/4.47 sk4, nil ) ) ] )
% 4.13/4.49 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 33213, [ ~( neq( sk2, nil ) ), ~( =( cons( X, Y ), sk1 ) ), ~(
% 4.13/4.49 ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) )
% 4.13/4.49 ] )
% 4.13/4.49 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.13/4.49 , 0, clause( 33212, [ ~( =( cons( X, Y ), sk1 ) ), ~( ssItem( X ) ), ~(
% 4.13/4.49 ssList( Y ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ), ~( neq( sk4, nil
% 4.13/4.49 ) ) ] )
% 4.13/4.49 , 4, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 4.13/4.49 ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 33214, [ ~( =( cons( X, Y ), sk1 ) ), ~( ssItem( X ) ), ~( ssList(
% 4.13/4.49 Y ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ) ] )
% 4.13/4.49 , clause( 33213, [ ~( neq( sk2, nil ) ), ~( =( cons( X, Y ), sk1 ) ), ~(
% 4.13/4.49 ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) )
% 4.13/4.49 ] )
% 4.13/4.49 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.13/4.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 4.13/4.49 ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 subsumption(
% 4.13/4.49 clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X,
% 4.13/4.49 nil ) ), sk2 ) ), ~( =( cons( X, Y ), sk1 ) ) ] )
% 4.13/4.49 , clause( 33214, [ ~( =( cons( X, Y ), sk1 ) ), ~( ssItem( X ) ), ~( ssList(
% 4.13/4.49 Y ) ), ~( =( app( Y, cons( X, nil ) ), sk2 ) ) ] )
% 4.13/4.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 4.13/4.49 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 34219, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 4.13/4.49 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.13/4.49 , 0, clause( 29668, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 4.13/4.49 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 34220, [ ssItem( sk5 ) ] )
% 4.13/4.49 , clause( 34219, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 4.13/4.49 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.13/4.49 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 subsumption(
% 4.13/4.49 clause( 190, [ ssItem( sk5 ) ] )
% 4.13/4.49 , clause( 34220, [ ssItem( sk5 ) ] )
% 4.13/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 35225, [ ~( neq( sk2, nil ) ), ssList( sk6 ) ] )
% 4.13/4.49 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.13/4.49 , 0, clause( 29669, [ ssList( sk6 ), ~( neq( sk4, nil ) ) ] )
% 4.13/4.49 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 35226, [ ssList( sk6 ) ] )
% 4.13/4.49 , clause( 35225, [ ~( neq( sk2, nil ) ), ssList( sk6 ) ] )
% 4.13/4.49 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.13/4.49 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 subsumption(
% 4.13/4.49 clause( 191, [ ssList( sk6 ) ] )
% 4.13/4.49 , clause( 35226, [ ssList( sk6 ) ] )
% 4.13/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 36411, [ =( app( cons( sk5, nil ), sk6 ), sk1 ), ~( neq( sk4, nil )
% 4.13/4.49 ) ] )
% 4.13/4.49 , clause( 187, [ =( sk3, sk1 ) ] )
% 4.13/4.49 , 0, clause( 29670, [ =( app( cons( sk5, nil ), sk6 ), sk3 ), ~( neq( sk4,
% 4.13/4.49 nil ) ) ] )
% 4.13/4.49 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 36412, [ ~( neq( sk2, nil ) ), =( app( cons( sk5, nil ), sk6 ), sk1
% 4.13/4.49 ) ] )
% 4.13/4.49 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.13/4.49 , 0, clause( 36411, [ =( app( cons( sk5, nil ), sk6 ), sk1 ), ~( neq( sk4,
% 4.13/4.49 nil ) ) ] )
% 4.13/4.49 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 36413, [ =( app( cons( sk5, nil ), sk6 ), sk1 ) ] )
% 4.13/4.49 , clause( 36412, [ ~( neq( sk2, nil ) ), =( app( cons( sk5, nil ), sk6 ),
% 4.13/4.49 sk1 ) ] )
% 4.13/4.49 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.13/4.49 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 subsumption(
% 4.13/4.49 clause( 192, [ =( app( cons( sk5, nil ), sk6 ), sk1 ) ] )
% 4.13/4.49 , clause( 36413, [ =( app( cons( sk5, nil ), sk6 ), sk1 ) ] )
% 4.13/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 37612, [ ~( neq( sk2, nil ) ), =( app( sk6, cons( sk5, nil ) ), sk4
% 4.13/4.49 ) ] )
% 4.13/4.49 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.13/4.49 , 0, clause( 29671, [ =( app( sk6, cons( sk5, nil ) ), sk4 ), ~( neq( sk4,
% 4.13/4.49 nil ) ) ] )
% 4.13/4.49 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 37614, [ =( app( sk6, cons( sk5, nil ) ), sk2 ), ~( neq( sk2, nil )
% 4.13/4.49 ) ] )
% 4.13/4.49 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.13/4.49 , 0, clause( 37612, [ ~( neq( sk2, nil ) ), =( app( sk6, cons( sk5, nil ) )
% 4.13/4.49 , sk4 ) ] )
% 4.13/4.49 , 1, 6, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 37615, [ =( app( sk6, cons( sk5, nil ) ), sk2 ) ] )
% 4.13/4.49 , clause( 37614, [ =( app( sk6, cons( sk5, nil ) ), sk2 ), ~( neq( sk2, nil
% 4.13/4.49 ) ) ] )
% 4.13/4.49 , 1, clause( 188, [ neq( sk2, nil ) ] )
% 4.13/4.49 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 subsumption(
% 4.13/4.49 clause( 193, [ =( app( sk6, cons( sk5, nil ) ), sk2 ) ] )
% 4.13/4.49 , clause( 37615, [ =( app( sk6, cons( sk5, nil ) ), sk2 ) ] )
% 4.13/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 eqswap(
% 4.13/4.49 clause( 37617, [ =( sk1, app( cons( sk5, nil ), sk6 ) ) ] )
% 4.13/4.49 , clause( 192, [ =( app( cons( sk5, nil ), sk6 ), sk1 ) ] )
% 4.13/4.49 , 0, substitution( 0, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 37619, [ =( sk1, cons( sk5, sk6 ) ), ~( ssItem( sk5 ) ), ~( ssList(
% 4.13/4.49 sk6 ) ) ] )
% 4.13/4.49 , clause( 117, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil )
% 4.13/4.49 , Y ), cons( X, Y ) ) ] )
% 4.13/4.49 , 2, clause( 37617, [ =( sk1, app( cons( sk5, nil ), sk6 ) ) ] )
% 4.13/4.49 , 0, 2, substitution( 0, [ :=( X, sk5 ), :=( Y, sk6 )] ), substitution( 1
% 4.13/4.49 , [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 37620, [ =( sk1, cons( sk5, sk6 ) ), ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , clause( 37619, [ =( sk1, cons( sk5, sk6 ) ), ~( ssItem( sk5 ) ), ~(
% 4.13/4.49 ssList( sk6 ) ) ] )
% 4.13/4.49 , 1, clause( 190, [ ssItem( sk5 ) ] )
% 4.13/4.49 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 eqswap(
% 4.13/4.49 clause( 37621, [ =( cons( sk5, sk6 ), sk1 ), ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , clause( 37620, [ =( sk1, cons( sk5, sk6 ) ), ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , 0, substitution( 0, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 subsumption(
% 4.13/4.49 clause( 29277, [ ~( ssList( sk6 ) ), =( cons( sk5, sk6 ), sk1 ) ] )
% 4.13/4.49 , clause( 37621, [ =( cons( sk5, sk6 ), sk1 ), ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 4.13/4.49 ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 eqswap(
% 4.13/4.49 clause( 37622, [ =( sk2, app( sk6, cons( sk5, nil ) ) ) ] )
% 4.13/4.49 , clause( 193, [ =( app( sk6, cons( sk5, nil ) ), sk2 ) ] )
% 4.13/4.49 , 0, substitution( 0, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 eqswap(
% 4.13/4.49 clause( 37623, [ ~( =( sk2, app( X, cons( Y, nil ) ) ) ), ~( ssItem( Y ) )
% 4.13/4.49 , ~( ssList( X ) ), ~( =( cons( Y, X ), sk1 ) ) ] )
% 4.13/4.49 , clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X
% 4.13/4.49 , nil ) ), sk2 ) ), ~( =( cons( X, Y ), sk1 ) ) ] )
% 4.13/4.49 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 37627, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( =( cons( sk5,
% 4.13/4.49 sk6 ), sk1 ) ) ] )
% 4.13/4.49 , clause( 37623, [ ~( =( sk2, app( X, cons( Y, nil ) ) ) ), ~( ssItem( Y )
% 4.13/4.49 ), ~( ssList( X ) ), ~( =( cons( Y, X ), sk1 ) ) ] )
% 4.13/4.49 , 0, clause( 37622, [ =( sk2, app( sk6, cons( sk5, nil ) ) ) ] )
% 4.13/4.49 , 0, substitution( 0, [ :=( X, sk6 ), :=( Y, sk5 )] ), substitution( 1, [] )
% 4.13/4.49 ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 paramod(
% 4.13/4.49 clause( 37628, [ ~( =( sk1, sk1 ) ), ~( ssList( sk6 ) ), ~( ssItem( sk5 ) )
% 4.13/4.49 , ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , clause( 29277, [ ~( ssList( sk6 ) ), =( cons( sk5, sk6 ), sk1 ) ] )
% 4.13/4.49 , 1, clause( 37627, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( =( cons(
% 4.13/4.49 sk5, sk6 ), sk1 ) ) ] )
% 4.13/4.49 , 2, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 factor(
% 4.13/4.49 clause( 37629, [ ~( =( sk1, sk1 ) ), ~( ssList( sk6 ) ), ~( ssItem( sk5 ) )
% 4.13/4.49 ] )
% 4.13/4.49 , clause( 37628, [ ~( =( sk1, sk1 ) ), ~( ssList( sk6 ) ), ~( ssItem( sk5 )
% 4.13/4.49 ), ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , 1, 3, substitution( 0, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 eqrefl(
% 4.13/4.49 clause( 37630, [ ~( ssList( sk6 ) ), ~( ssItem( sk5 ) ) ] )
% 4.13/4.49 , clause( 37629, [ ~( =( sk1, sk1 ) ), ~( ssList( sk6 ) ), ~( ssItem( sk5 )
% 4.13/4.49 ) ] )
% 4.13/4.49 , 0, substitution( 0, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 37631, [ ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , clause( 37630, [ ~( ssList( sk6 ) ), ~( ssItem( sk5 ) ) ] )
% 4.13/4.49 , 1, clause( 190, [ ssItem( sk5 ) ] )
% 4.13/4.49 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 subsumption(
% 4.13/4.49 clause( 29418, [ ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , clause( 37631, [ ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 resolution(
% 4.13/4.49 clause( 37632, [] )
% 4.13/4.49 , clause( 29418, [ ~( ssList( sk6 ) ) ] )
% 4.13/4.49 , 0, clause( 191, [ ssList( sk6 ) ] )
% 4.13/4.49 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 subsumption(
% 4.13/4.49 clause( 29467, [] )
% 4.13/4.49 , clause( 37632, [] )
% 4.13/4.49 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 end.
% 4.13/4.49
% 4.13/4.49 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.13/4.49
% 4.13/4.49 Memory use:
% 4.13/4.49
% 4.13/4.49 space for terms: 587229
% 4.13/4.49 space for clauses: 1391482
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 clauses generated: 138489
% 4.13/4.49 clauses kept: 29468
% 4.13/4.49 clauses selected: 708
% 4.13/4.49 clauses deleted: 1039
% 4.13/4.49 clauses inuse deleted: 14
% 4.13/4.49
% 4.13/4.49 subsentry: 326652
% 4.13/4.49 literals s-matched: 177456
% 4.13/4.49 literals matched: 117982
% 4.13/4.49 full subsumption: 70865
% 4.13/4.49
% 4.13/4.49 checksum: -229892500
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Bliksem ended
%------------------------------------------------------------------------------