TSTP Solution File: SWC026-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC026-1 : 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 19:33:06 EDT 2022
% Result : Unsatisfiable 2.40s 2.82s
% Output : Refutation 2.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SWC026-1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sun Jun 12 16:47:31 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.79/1.19 *** allocated 10000 integers for termspace/termends
% 0.79/1.19 *** allocated 10000 integers for clauses
% 0.79/1.19 *** allocated 10000 integers for justifications
% 0.79/1.19 Bliksem 1.12
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 Automatic Strategy Selection
% 0.79/1.19
% 0.79/1.19 Clauses:
% 0.79/1.19 [
% 0.79/1.19 [ equalelemsP( nil ) ],
% 0.79/1.19 [ duplicatefreeP( nil ) ],
% 0.79/1.19 [ strictorderedP( nil ) ],
% 0.79/1.19 [ totalorderedP( nil ) ],
% 0.79/1.19 [ strictorderP( nil ) ],
% 0.79/1.19 [ totalorderP( nil ) ],
% 0.79/1.19 [ cyclefreeP( nil ) ],
% 0.79/1.19 [ ssList( nil ) ],
% 0.79/1.19 [ ssItem( skac3 ) ],
% 0.79/1.19 [ ssItem( skac2 ) ],
% 0.79/1.19 [ ~( singletonP( nil ) ) ],
% 0.79/1.19 [ ssItem( skaf83( X ) ) ],
% 0.79/1.19 [ ssList( skaf82( X ) ) ],
% 0.79/1.19 [ ssList( skaf81( X ) ) ],
% 0.79/1.19 [ ssList( skaf80( X ) ) ],
% 0.79/1.19 [ ssItem( skaf79( X ) ) ],
% 0.79/1.19 [ ssItem( skaf78( X ) ) ],
% 0.79/1.19 [ ssList( skaf77( X ) ) ],
% 0.79/1.19 [ ssList( skaf76( X ) ) ],
% 0.79/1.19 [ ssList( skaf75( X ) ) ],
% 0.79/1.19 [ ssItem( skaf74( X ) ) ],
% 0.79/1.19 [ ssList( skaf73( X ) ) ],
% 0.79/1.19 [ ssList( skaf72( X ) ) ],
% 0.79/1.19 [ ssList( skaf71( X ) ) ],
% 0.79/1.19 [ ssItem( skaf70( X ) ) ],
% 0.79/1.19 [ ssItem( skaf69( X ) ) ],
% 0.79/1.19 [ ssList( skaf68( X ) ) ],
% 0.79/1.19 [ ssList( skaf67( X ) ) ],
% 0.79/1.19 [ ssList( skaf66( X ) ) ],
% 0.79/1.19 [ ssItem( skaf65( X ) ) ],
% 0.79/1.19 [ ssItem( skaf64( X ) ) ],
% 0.79/1.19 [ ssList( skaf63( X ) ) ],
% 0.79/1.19 [ ssList( skaf62( X ) ) ],
% 0.79/1.19 [ ssList( skaf61( X ) ) ],
% 0.79/1.19 [ ssItem( skaf60( X ) ) ],
% 0.79/1.19 [ ssItem( skaf59( X ) ) ],
% 0.79/1.19 [ ssList( skaf58( X ) ) ],
% 0.79/1.19 [ ssList( skaf57( X ) ) ],
% 0.79/1.19 [ ssList( skaf56( X ) ) ],
% 0.79/1.19 [ ssItem( skaf55( X ) ) ],
% 0.79/1.19 [ ssItem( skaf54( X ) ) ],
% 0.79/1.19 [ ssList( skaf53( X ) ) ],
% 0.79/1.19 [ ssList( skaf52( X ) ) ],
% 0.79/1.19 [ ssList( skaf51( X ) ) ],
% 0.79/1.19 [ ssItem( skaf50( X ) ) ],
% 0.79/1.19 [ ssItem( skaf49( X ) ) ],
% 0.79/1.19 [ ssItem( skaf44( X ) ) ],
% 0.79/1.19 [ ssList( skaf48( X, Y ) ) ],
% 0.79/1.19 [ ssList( skaf47( X, Y ) ) ],
% 0.79/1.19 [ ssList( skaf46( X, Y ) ) ],
% 0.79/1.19 [ ssList( skaf45( X, Y ) ) ],
% 0.79/1.19 [ ssList( skaf43( X, Y ) ) ],
% 0.79/1.19 [ ssList( skaf42( X, Y ) ) ],
% 0.79/1.19 [ ~( =( skac3, skac2 ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.79/1.19 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.79/1.19 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.79/1.19 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.79/1.19 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.79/1.19 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.79/1.19 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.79/1.19 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.79/1.19 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.79/1.19 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.79/1.19 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.79/1.19 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.79/1.19 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.79/1.19 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.79/1.19 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.79/1.19 ],
% 0.79/1.19 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.79/1.19 X ) ],
% 0.79/1.19 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.79/1.19 X ) ],
% 0.79/1.19 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.79/1.19 ) ],
% 0.79/1.19 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.79/1.19 ) ],
% 0.79/1.19 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.79/1.19 ) ],
% 0.79/1.19 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.79/1.19 ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.79/1.19 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.79/1.19 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.79/1.19 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.79/1.19 ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.79/1.19 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.79/1.19 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.79/1.19 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.79/1.19 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.79/1.19 ) ],
% 0.79/1.19 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.79/1.19 cons( Y, X ) ) ],
% 0.79/1.19 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.79/1.19 cons( Y, X ) ) ],
% 0.79/1.19 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.79/1.19 singletonP( Y ) ],
% 0.79/1.19 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.79/1.19 , X ) ],
% 0.79/1.19 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.79/1.19 , Y ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.79/1.19 X, Y ) ) ],
% 0.79/1.19 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.79/1.19 , Y ) ],
% 0.79/1.19 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.79/1.19 , Y ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.79/1.19 , hd( Y ) ) ],
% 0.79/1.19 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.79/1.19 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.79/1.19 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.79/1.19 , totalorderedP( Y ), =( nil, Y ) ],
% 0.79/1.19 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.79/1.19 , =( Y, X ) ],
% 0.79/1.19 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.79/1.19 ssList( Y ) ), =( Y, X ) ],
% 0.79/1.19 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.79/1.19 ssList( Y ) ), =( Y, X ) ],
% 0.79/1.19 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.79/1.19 ssList( Y ) ), =( Y, X ) ],
% 0.79/1.19 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.79/1.19 , =( Y, X ) ],
% 0.79/1.19 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.79/1.19 skaf46( X, Y ), Y ), X ) ],
% 0.79/1.19 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.79/1.19 , skaf45( X, Y ) ), X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.79/1.19 , app( tl( Y ), X ) ) ],
% 0.79/1.19 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.79/1.19 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.79/1.19 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.79/1.19 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.79/1.19 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.79/1.19 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.79/1.19 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.79/1.19 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.79/1.19 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.79/1.19 memberP( cons( Y, Z ), X ) ],
% 0.79/1.19 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.79/1.19 ) ), memberP( cons( Z, X ), Y ) ],
% 0.79/1.19 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.79/1.19 ) ), memberP( app( X, Z ), Y ) ],
% 0.79/1.19 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.79/1.19 ) ), memberP( app( Z, X ), Y ) ],
% 0.79/1.19 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.79/1.19 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.79/1.19 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.79/1.19 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.79/1.19 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.79/1.19 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.79/1.19 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.79/1.19 , =( app( X, Y ), nil ) ],
% 0.79/1.19 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.79/1.19 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.79/1.19 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.79/1.19 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.79/1.19 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.79/1.19 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.79/1.19 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.79/1.19 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.79/1.19 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.79/1.19 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.79/1.19 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.79/1.19 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.79/1.19 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.79/1.19 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.79/1.19 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.79/1.19 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.79/1.19 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.79/1.19 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.79/1.19 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.79/1.19 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.79/1.19 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.79/1.19 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.79/1.19 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.79/1.19 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.79/1.19 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.79/1.19 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.79/1.19 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.79/1.19 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.79/1.19 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.79/1.19 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.79/1.19 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.79/1.19 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.79/1.19 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.79/1.19 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.79/1.19 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.79/1.19 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.79/1.19 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.79/1.19 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.79/1.19 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.79/1.19 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.79/1.19 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.79/1.19 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.79/1.19 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.79/1.19 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.79/1.19 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.79/1.19 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.79/1.19 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.84/1.31 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.84/1.31 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.84/1.31 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.84/1.31 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.84/1.31 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.84/1.31 ,
% 0.84/1.31 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.84/1.31 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.84/1.31 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.84/1.31 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.84/1.31 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.84/1.31 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.84/1.31 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.84/1.31 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.84/1.31 T, Y ) ) ],
% 0.84/1.31 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.84/1.31 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.84/1.31 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.84/1.31 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.84/1.31 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.84/1.31 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.84/1.31 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.84/1.31 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.84/1.31 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.84/1.31 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.84/1.31 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.84/1.31 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.84/1.31 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.84/1.31 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.84/1.31 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.84/1.31 ,
% 0.84/1.31 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.84/1.31 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.84/1.31 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.84/1.31 ,
% 0.84/1.31 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.84/1.31 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.84/1.31 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.84/1.31 W ) ) ],
% 0.84/1.31 [ ssList( sk1 ) ],
% 0.84/1.31 [ ssList( sk2 ) ],
% 0.84/1.31 [ ssList( sk3 ) ],
% 0.84/1.31 [ ssList( sk4 ) ],
% 0.84/1.31 [ =( sk2, sk4 ) ],
% 0.84/1.31 [ =( sk1, sk3 ) ],
% 0.84/1.31 [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ],
% 0.84/1.31 [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ],
% 0.84/1.31 [ =( nil, sk2 ), =( nil, sk1 ) ],
% 0.84/1.31 [ =( nil, sk2 ), ~( =( nil, sk2 ) ) ],
% 0.84/1.31 [ ~( =( nil, sk1 ) ), =( nil, sk1 ) ],
% 0.84/1.31 [ ~( =( nil, sk1 ) ), ~( =( nil, sk2 ) ) ]
% 0.84/1.31 ] .
% 0.84/1.31
% 0.84/1.31
% 0.84/1.31 percentage equality = 0.172982, percentage horn = 0.838542
% 0.84/1.31 This is a problem with some equality
% 0.84/1.31
% 0.84/1.31
% 0.84/1.31
% 0.84/1.31 Options Used:
% 0.84/1.31
% 0.84/1.31 useres = 1
% 0.84/1.31 useparamod = 1
% 0.84/1.31 useeqrefl = 1
% 0.84/1.31 useeqfact = 1
% 0.84/1.31 usefactor = 1
% 0.84/1.31 usesimpsplitting = 0
% 0.84/1.31 usesimpdemod = 5
% 0.84/1.31 usesimpres = 3
% 0.84/1.31
% 0.84/1.31 resimpinuse = 1000
% 0.84/1.31 resimpclauses = 20000
% 0.84/1.31 substype = eqrewr
% 0.84/1.31 backwardsubs = 1
% 0.84/1.31 selectoldest = 5
% 0.84/1.31
% 0.84/1.31 litorderings [0] = split
% 0.84/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.31
% 0.84/1.31 termordering = kbo
% 0.84/1.31
% 0.84/1.31 litapriori = 0
% 0.84/1.31 termapriori = 1
% 0.84/1.31 litaposteriori = 0
% 0.84/1.31 termaposteriori = 0
% 0.84/1.31 demodaposteriori = 0
% 0.84/1.31 ordereqreflfact = 0
% 0.84/1.31
% 0.84/1.31 litselect = negord
% 0.84/1.31
% 0.84/1.31 maxweight = 15
% 0.84/1.31 maxdepth = 30000
% 0.84/1.31 maxlength = 115
% 0.84/1.31 maxnrvars = 195
% 0.84/1.31 excuselevel = 1
% 0.84/1.31 increasemaxweight = 1
% 0.84/1.31
% 0.84/1.31 maxselected = 10000000
% 0.84/1.31 maxnrclauses = 10000000
% 0.84/1.31
% 0.84/1.31 showgenerated = 0
% 0.84/1.31 showkept = 0
% 0.84/1.31 showselected = 0
% 0.84/1.31 showdeleted = 0
% 0.84/1.31 showresimp = 1
% 0.84/1.31 showstatus = 2000
% 0.84/1.31
% 0.84/1.31 prologoutput = 1
% 0.84/1.31 nrgoals = 5000000
% 0.84/1.31 totalproof = 1
% 0.84/1.31
% 0.84/1.31 Symbols occurring in the translation:
% 0.84/1.31
% 0.84/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.31 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 2.40/2.82 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 2.40/2.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.40/2.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.40/2.82 nil [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.40/2.82 equalelemsP [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 2.40/2.82 duplicatefreeP [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 2.40/2.82 strictorderedP [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 2.40/2.82 totalorderedP [43, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.40/2.82 strictorderP [44, 1] (w:1, o:33, a:1, s:1, b:0),
% 2.40/2.82 totalorderP [45, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.40/2.82 cyclefreeP [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 2.40/2.82 ssList [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 2.40/2.82 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.40/2.82 ssItem [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 2.40/2.82 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.40/2.82 singletonP [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 2.40/2.82 skaf83 [53, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.40/2.82 skaf82 [54, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.40/2.82 skaf81 [55, 1] (w:1, o:68, a:1, s:1, b:0),
% 2.40/2.82 skaf80 [56, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.40/2.82 skaf79 [57, 1] (w:1, o:66, a:1, s:1, b:0),
% 2.40/2.82 skaf78 [58, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.40/2.82 skaf77 [59, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.40/2.82 skaf76 [60, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.40/2.82 skaf75 [61, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.40/2.82 skaf74 [62, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.40/2.82 skaf73 [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.40/2.82 skaf72 [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.40/2.82 skaf71 [65, 1] (w:1, o:58, a:1, s:1, b:0),
% 2.40/2.82 skaf70 [66, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.40/2.82 skaf69 [67, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.40/2.82 skaf68 [68, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.40/2.82 skaf67 [69, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.40/2.82 skaf66 [70, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.40/2.82 skaf65 [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 2.40/2.82 skaf64 [72, 1] (w:1, o:51, a:1, s:1, b:0),
% 2.40/2.82 skaf63 [73, 1] (w:1, o:50, a:1, s:1, b:0),
% 2.40/2.82 skaf62 [74, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.40/2.82 skaf61 [75, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.40/2.82 skaf60 [76, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.40/2.82 skaf59 [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.40/2.82 skaf58 [78, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.40/2.82 skaf57 [79, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.40/2.82 skaf56 [80, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.40/2.82 skaf55 [81, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.40/2.82 skaf54 [82, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.40/2.82 skaf53 [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.40/2.82 skaf52 [84, 1] (w:1, o:39, a:1, s:1, b:0),
% 2.40/2.82 skaf51 [85, 1] (w:1, o:38, a:1, s:1, b:0),
% 2.40/2.82 skaf50 [86, 1] (w:1, o:37, a:1, s:1, b:0),
% 2.40/2.82 skaf49 [87, 1] (w:1, o:35, a:1, s:1, b:0),
% 2.40/2.82 skaf44 [88, 1] (w:1, o:36, a:1, s:1, b:0),
% 2.40/2.82 skaf48 [90, 2] (w:1, o:104, a:1, s:1, b:0),
% 2.40/2.82 skaf47 [91, 2] (w:1, o:103, a:1, s:1, b:0),
% 2.40/2.82 skaf46 [92, 2] (w:1, o:102, a:1, s:1, b:0),
% 2.40/2.82 skaf45 [93, 2] (w:1, o:101, a:1, s:1, b:0),
% 2.40/2.82 skaf43 [94, 2] (w:1, o:106, a:1, s:1, b:0),
% 2.40/2.82 skaf42 [95, 2] (w:1, o:105, a:1, s:1, b:0),
% 2.40/2.82 geq [96, 2] (w:1, o:108, a:1, s:1, b:0),
% 2.40/2.82 segmentP [97, 2] (w:1, o:109, a:1, s:1, b:0),
% 2.40/2.82 rearsegP [98, 2] (w:1, o:100, a:1, s:1, b:0),
% 2.40/2.82 frontsegP [99, 2] (w:1, o:107, a:1, s:1, b:0),
% 2.40/2.82 leq [100, 2] (w:1, o:110, a:1, s:1, b:0),
% 2.40/2.82 lt [101, 2] (w:1, o:111, a:1, s:1, b:0),
% 2.40/2.82 cons [102, 2] (w:1, o:112, a:1, s:1, b:0),
% 2.40/2.82 memberP [103, 2] (w:1, o:113, a:1, s:1, b:0),
% 2.40/2.82 app [104, 2] (w:1, o:114, a:1, s:1, b:0),
% 2.40/2.82 tl [105, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.40/2.82 hd [106, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.40/2.82 neq [107, 2] (w:1, o:115, a:1, s:1, b:0),
% 2.40/2.82 gt [108, 2] (w:1, o:116, a:1, s:1, b:0),
% 2.40/2.82 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.40/2.82 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 2.40/2.82 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.40/2.82 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0).
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Starting Search:
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 4163
% 2.40/2.82 Kept: 2098
% 2.40/2.82 Inuse: 204
% 2.40/2.82 Deleted: 2
% 2.40/2.82 Deletedinuse: 0
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 9120
% 2.40/2.82 Kept: 4768
% 2.40/2.82 Inuse: 287
% 2.40/2.82 Deleted: 4
% 2.40/2.82 Deletedinuse: 0
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 15095
% 2.40/2.82 Kept: 7067
% 2.40/2.82 Inuse: 367
% 2.40/2.82 Deleted: 4
% 2.40/2.82 Deletedinuse: 0
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 25380
% 2.40/2.82 Kept: 9288
% 2.40/2.82 Inuse: 402
% 2.40/2.82 Deleted: 4
% 2.40/2.82 Deletedinuse: 0
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 40539
% 2.40/2.82 Kept: 11430
% 2.40/2.82 Inuse: 452
% 2.40/2.82 Deleted: 6
% 2.40/2.82 Deletedinuse: 2
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 47571
% 2.40/2.82 Kept: 13483
% 2.40/2.82 Inuse: 497
% 2.40/2.82 Deleted: 6
% 2.40/2.82 Deletedinuse: 2
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 54307
% 2.40/2.82 Kept: 15577
% 2.40/2.82 Inuse: 522
% 2.40/2.82 Deleted: 6
% 2.40/2.82 Deletedinuse: 2
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 63884
% 2.40/2.82 Kept: 17636
% 2.40/2.82 Inuse: 557
% 2.40/2.82 Deleted: 7
% 2.40/2.82 Deletedinuse: 3
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Intermediate Status:
% 2.40/2.82 Generated: 74959
% 2.40/2.82 Kept: 19654
% 2.40/2.82 Inuse: 586
% 2.40/2.82 Deleted: 9
% 2.40/2.82 Deletedinuse: 5
% 2.40/2.82
% 2.40/2.82 Resimplifying inuse:
% 2.40/2.82 Done
% 2.40/2.82
% 2.40/2.82 Resimplifying clauses:
% 2.40/2.82
% 2.40/2.82 Bliksems!, er is een bewijs:
% 2.40/2.82 % SZS status Unsatisfiable
% 2.40/2.82 % SZS output start Refutation
% 2.40/2.82
% 2.40/2.82 clause( 7, [ ssList( nil ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.40/2.82 ), =( nil, X ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 141, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 2.40/2.82 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 182, [ ssList( sk1 ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 183, [ ssList( sk2 ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 186, [ =( sk4, sk2 ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 187, [ =( sk3, sk1 ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 188, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 190, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 191, [ ~( =( nil, sk2 ) ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 524, [ frontsegP( sk1, sk1 ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 789, [ =( app( nil, nil ), nil ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 790, [ =( app( sk1, nil ), sk1 ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 6726, [ ~( ssList( X ) ), ~( ssList( sk2 ) ), ~( =( app( sk2, X ),
% 2.40/2.82 sk1 ) ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 6753, [ ~( =( app( sk2, sk2 ), sk1 ) ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 11972, [ ~( =( nil, sk1 ) ), ~( frontsegP( sk2, sk2 ) ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 13441, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ), ~( ssList( sk2 ) ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 20042, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 20053, [ ~( =( nil, sk1 ) ) ] )
% 2.40/2.82 .
% 2.40/2.82 clause( 20158, [] )
% 2.40/2.82 .
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 % SZS output end Refutation
% 2.40/2.82 found a proof!
% 2.40/2.82
% 2.40/2.82 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.40/2.82
% 2.40/2.82 initialclauses(
% 2.40/2.82 [ clause( 20160, [ equalelemsP( nil ) ] )
% 2.40/2.82 , clause( 20161, [ duplicatefreeP( nil ) ] )
% 2.40/2.82 , clause( 20162, [ strictorderedP( nil ) ] )
% 2.40/2.82 , clause( 20163, [ totalorderedP( nil ) ] )
% 2.40/2.82 , clause( 20164, [ strictorderP( nil ) ] )
% 2.40/2.82 , clause( 20165, [ totalorderP( nil ) ] )
% 2.40/2.82 , clause( 20166, [ cyclefreeP( nil ) ] )
% 2.40/2.82 , clause( 20167, [ ssList( nil ) ] )
% 2.40/2.82 , clause( 20168, [ ssItem( skac3 ) ] )
% 2.40/2.82 , clause( 20169, [ ssItem( skac2 ) ] )
% 2.40/2.82 , clause( 20170, [ ~( singletonP( nil ) ) ] )
% 2.40/2.82 , clause( 20171, [ ssItem( skaf83( X ) ) ] )
% 2.40/2.82 , clause( 20172, [ ssList( skaf82( X ) ) ] )
% 2.40/2.82 , clause( 20173, [ ssList( skaf81( X ) ) ] )
% 2.40/2.82 , clause( 20174, [ ssList( skaf80( X ) ) ] )
% 2.40/2.82 , clause( 20175, [ ssItem( skaf79( X ) ) ] )
% 2.40/2.82 , clause( 20176, [ ssItem( skaf78( X ) ) ] )
% 2.40/2.82 , clause( 20177, [ ssList( skaf77( X ) ) ] )
% 2.40/2.82 , clause( 20178, [ ssList( skaf76( X ) ) ] )
% 2.40/2.82 , clause( 20179, [ ssList( skaf75( X ) ) ] )
% 2.40/2.82 , clause( 20180, [ ssItem( skaf74( X ) ) ] )
% 2.40/2.82 , clause( 20181, [ ssList( skaf73( X ) ) ] )
% 2.40/2.82 , clause( 20182, [ ssList( skaf72( X ) ) ] )
% 2.40/2.82 , clause( 20183, [ ssList( skaf71( X ) ) ] )
% 2.40/2.82 , clause( 20184, [ ssItem( skaf70( X ) ) ] )
% 2.40/2.82 , clause( 20185, [ ssItem( skaf69( X ) ) ] )
% 2.40/2.82 , clause( 20186, [ ssList( skaf68( X ) ) ] )
% 2.40/2.82 , clause( 20187, [ ssList( skaf67( X ) ) ] )
% 2.40/2.82 , clause( 20188, [ ssList( skaf66( X ) ) ] )
% 2.40/2.82 , clause( 20189, [ ssItem( skaf65( X ) ) ] )
% 2.40/2.82 , clause( 20190, [ ssItem( skaf64( X ) ) ] )
% 2.40/2.82 , clause( 20191, [ ssList( skaf63( X ) ) ] )
% 2.40/2.82 , clause( 20192, [ ssList( skaf62( X ) ) ] )
% 2.40/2.82 , clause( 20193, [ ssList( skaf61( X ) ) ] )
% 2.40/2.82 , clause( 20194, [ ssItem( skaf60( X ) ) ] )
% 2.40/2.82 , clause( 20195, [ ssItem( skaf59( X ) ) ] )
% 2.40/2.82 , clause( 20196, [ ssList( skaf58( X ) ) ] )
% 2.40/2.82 , clause( 20197, [ ssList( skaf57( X ) ) ] )
% 2.40/2.82 , clause( 20198, [ ssList( skaf56( X ) ) ] )
% 2.40/2.82 , clause( 20199, [ ssItem( skaf55( X ) ) ] )
% 2.40/2.82 , clause( 20200, [ ssItem( skaf54( X ) ) ] )
% 2.40/2.82 , clause( 20201, [ ssList( skaf53( X ) ) ] )
% 2.40/2.82 , clause( 20202, [ ssList( skaf52( X ) ) ] )
% 2.40/2.82 , clause( 20203, [ ssList( skaf51( X ) ) ] )
% 2.40/2.82 , clause( 20204, [ ssItem( skaf50( X ) ) ] )
% 2.40/2.82 , clause( 20205, [ ssItem( skaf49( X ) ) ] )
% 2.40/2.82 , clause( 20206, [ ssItem( skaf44( X ) ) ] )
% 2.40/2.82 , clause( 20207, [ ssList( skaf48( X, Y ) ) ] )
% 2.40/2.82 , clause( 20208, [ ssList( skaf47( X, Y ) ) ] )
% 2.40/2.82 , clause( 20209, [ ssList( skaf46( X, Y ) ) ] )
% 2.40/2.82 , clause( 20210, [ ssList( skaf45( X, Y ) ) ] )
% 2.40/2.82 , clause( 20211, [ ssList( skaf43( X, Y ) ) ] )
% 2.40/2.82 , clause( 20212, [ ssList( skaf42( X, Y ) ) ] )
% 2.40/2.82 , clause( 20213, [ ~( =( skac3, skac2 ) ) ] )
% 2.40/2.82 , clause( 20214, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 2.40/2.82 , clause( 20215, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 2.40/2.82 , clause( 20216, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 2.40/2.82 , clause( 20217, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 2.40/2.82 , clause( 20218, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 2.40/2.82 , clause( 20219, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 2.40/2.82 , clause( 20220, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.40/2.82 , clause( 20221, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 2.40/2.82 , clause( 20222, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 2.40/2.82 , clause( 20223, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 2.40/2.82 , clause( 20224, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 2.40/2.82 , clause( 20225, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 2.40/2.82 , clause( 20226, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 2.40/2.82 , clause( 20227, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 2.40/2.82 , clause( 20228, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 2.40/2.82 , clause( 20229, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 2.40/2.82 , clause( 20230, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 2.40/2.82 , clause( 20231, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 2.40/2.82 , clause( 20232, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.40/2.82 , clause( 20233, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 2.40/2.82 , clause( 20234, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.40/2.82 , clause( 20235, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.40/2.82 , clause( 20236, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.40/2.82 , clause( 20237, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.40/2.82 , clause( 20238, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 2.40/2.82 )
% 2.40/2.82 , clause( 20239, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.40/2.82 )
% 2.40/2.82 , clause( 20240, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 2.40/2.82 )
% 2.40/2.82 , clause( 20241, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.40/2.82 )
% 2.40/2.82 , clause( 20242, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 2.40/2.82 ] )
% 2.40/2.82 , clause( 20243, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 2.40/2.82 ] )
% 2.40/2.82 , clause( 20244, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 2.40/2.82 ) ] )
% 2.40/2.82 , clause( 20245, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 2.40/2.82 ) ] )
% 2.40/2.82 , clause( 20246, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 2.40/2.82 skaf49( X ) ) ] )
% 2.40/2.82 , clause( 20247, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 2.40/2.82 skaf50( X ) ) ] )
% 2.40/2.82 , clause( 20248, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 2.40/2.82 equalelemsP( X ) ] )
% 2.40/2.82 , clause( 20249, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 2.40/2.82 strictorderedP( X ) ] )
% 2.40/2.82 , clause( 20250, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 2.40/2.82 totalorderedP( X ) ] )
% 2.40/2.82 , clause( 20251, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 2.40/2.82 strictorderP( X ) ] )
% 2.40/2.82 , clause( 20252, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 2.40/2.82 strictorderP( X ) ] )
% 2.40/2.82 , clause( 20253, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 2.40/2.82 totalorderP( X ) ] )
% 2.40/2.82 , clause( 20254, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 2.40/2.82 totalorderP( X ) ] )
% 2.40/2.82 , clause( 20255, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 2.40/2.82 ), Y ) ] )
% 2.40/2.82 , clause( 20256, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 2.40/2.82 ), X ) ] )
% 2.40/2.82 , clause( 20257, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 2.40/2.82 Y ) ) ] )
% 2.40/2.82 , clause( 20258, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.40/2.82 Y ) ) ] )
% 2.40/2.82 , clause( 20259, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.40/2.82 ) ] )
% 2.40/2.82 , clause( 20260, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 2.40/2.82 X ), nil ), X ) ] )
% 2.40/2.82 , clause( 20261, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 2.40/2.82 ) ] )
% 2.40/2.82 , clause( 20262, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 2.40/2.82 X, Y ) ] )
% 2.40/2.82 , clause( 20263, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 2.40/2.82 nil, X ) ] )
% 2.40/2.82 , clause( 20264, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.40/2.82 Y, X ) ] )
% 2.40/2.82 , clause( 20265, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 2.40/2.82 Y, X ) ] )
% 2.40/2.82 , clause( 20266, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 2.40/2.82 leq( Y, X ) ] )
% 2.40/2.82 , clause( 20267, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 2.40/2.82 geq( Y, X ) ] )
% 2.40/2.82 , clause( 20268, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 2.40/2.82 ), =( nil, X ) ] )
% 2.40/2.82 , clause( 20269, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.40/2.82 ssItem( Y ) ) ] )
% 2.40/2.82 , clause( 20270, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.40/2.82 ssItem( X ) ) ] )
% 2.40/2.82 , clause( 20271, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.40/2.82 strictorderedP( cons( Y, X ) ) ] )
% 2.40/2.82 , clause( 20272, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.40/2.82 totalorderedP( cons( Y, X ) ) ] )
% 2.40/2.82 , clause( 20273, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.40/2.82 ssItem( Y ) ) ] )
% 2.40/2.82 , clause( 20274, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.40/2.82 ssList( X ) ) ] )
% 2.40/2.82 , clause( 20275, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.40/2.82 Y ) ), singletonP( Y ) ] )
% 2.40/2.82 , clause( 20276, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.40/2.82 ssItem( X ) ) ] )
% 2.40/2.82 , clause( 20277, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.40/2.82 X ) ), =( nil, X ) ] )
% 2.40/2.82 , clause( 20278, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.40/2.82 X ) ), =( nil, Y ) ] )
% 2.40/2.82 , clause( 20279, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 2.40/2.82 ), Y ), cons( X, Y ) ) ] )
% 2.40/2.82 , clause( 20280, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.40/2.82 X, Y ), =( X, Y ) ] )
% 2.40/2.82 , clause( 20281, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.40/2.82 X, Y ), =( X, Y ) ] )
% 2.40/2.82 , clause( 20282, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 2.40/2.82 app( Y, X ) ), hd( Y ) ) ] )
% 2.40/2.82 , clause( 20283, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.40/2.82 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 2.40/2.82 , clause( 20284, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.40/2.82 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 2.40/2.82 , clause( 20285, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 2.40/2.82 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.40/2.82 , clause( 20286, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 2.40/2.82 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.40/2.82 , clause( 20287, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 2.40/2.82 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.40/2.82 , clause( 20288, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 2.40/2.82 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.40/2.82 , clause( 20289, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 2.40/2.82 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.40/2.82 , clause( 20290, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.40/2.82 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 2.40/2.82 , clause( 20291, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.40/2.82 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 2.40/2.82 , clause( 20292, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 2.40/2.82 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 2.40/2.82 , clause( 20293, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.40/2.82 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 2.40/2.82 , clause( 20294, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.40/2.82 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 2.40/2.82 , clause( 20295, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.40/2.82 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 2.40/2.82 , clause( 20296, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.40/2.82 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 2.40/2.82 , clause( 20297, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 2.40/2.82 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 2.40/2.82 , clause( 20298, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 2.40/2.82 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 2.40/2.82 , clause( 20299, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 2.40/2.82 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 2.40/2.82 , clause( 20300, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 2.40/2.82 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 2.40/2.82 , clause( 20301, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 2.40/2.82 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 2.40/2.82 , clause( 20302, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 2.40/2.82 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 2.40/2.82 , clause( 20303, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 2.40/2.82 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.40/2.82 , clause( 20304, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 2.40/2.82 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.40/2.82 , clause( 20305, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.40/2.82 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 2.40/2.82 , clause( 20306, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.40/2.82 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.40/2.82 , clause( 20307, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.40/2.82 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 2.40/2.82 , clause( 20308, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.40/2.82 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 2.40/2.82 , clause( 20309, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 2.40/2.82 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.40/2.82 , clause( 20310, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 2.40/2.82 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 2.40/2.82 , clause( 20311, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 2.40/2.82 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 2.40/2.82 , clause( 20312, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 2.40/2.82 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 2.40/2.82 , clause( 20313, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 2.40/2.82 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 2.40/2.82 , clause( 20314, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.40/2.82 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.40/2.82 , clause( 20315, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.40/2.82 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 2.40/2.82 , clause( 20316, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.40/2.82 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 2.40/2.82 , clause( 20317, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.40/2.82 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 2.40/2.82 , clause( 20318, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 2.40/2.82 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 2.40/2.82 ) ] )
% 2.40/2.82 , clause( 20319, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 2.40/2.82 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 2.40/2.82 Y ) ] )
% 2.40/2.82 , clause( 20320, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.40/2.82 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 2.40/2.82 , clause( 20321, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 2.40/2.82 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 2.40/2.82 skaf77( X ) ) ), X ) ] )
% 2.40/2.82 , clause( 20322, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 2.40/2.82 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 2.40/2.82 skaf73( X ) ) ), X ) ] )
% 2.40/2.82 , clause( 20323, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 2.40/2.82 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 2.40/2.82 skaf68( X ) ) ), X ) ] )
% 2.40/2.82 , clause( 20324, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 2.40/2.82 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 2.40/2.82 ), X ) ] )
% 2.40/2.82 , clause( 20325, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 2.40/2.82 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 2.40/2.82 ), X ) ] )
% 2.40/2.82 , clause( 20326, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 2.40/2.82 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 2.40/2.82 ), X ) ] )
% 2.40/2.82 , clause( 20327, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.40/2.82 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 2.40/2.82 , clause( 20328, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 2.40/2.82 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 2.40/2.82 , clause( 20329, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.40/2.82 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 2.40/2.82 , clause( 20330, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.40/2.82 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 2.40/2.82 , clause( 20331, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 2.40/2.82 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 2.40/2.82 Y ) ] )
% 2.40/2.82 , clause( 20332, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 2.40/2.82 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 2.40/2.82 )
% 2.40/2.82 , clause( 20333, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.40/2.82 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 2.40/2.82 , T ) ] )
% 2.40/2.82 , clause( 20334, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 2.40/2.82 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 2.40/2.82 )
% 2.40/2.82 , clause( 20335, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.40/2.82 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 2.40/2.82 )
% 2.40/2.82 , clause( 20336, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 2.40/2.82 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 2.40/2.82 )
% 2.40/2.82 , clause( 20337, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 2.40/2.82 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 2.40/2.82 Z, X ), cons( T, Y ) ) ] )
% 2.40/2.82 , clause( 20338, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 2.40/2.82 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 2.40/2.82 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 2.40/2.82 , clause( 20339, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 2.40/2.82 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 2.40/2.82 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 2.40/2.82 , clause( 20340, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.40/2.82 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.40/2.82 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 2.40/2.82 ) ] )
% 2.40/2.82 , clause( 20341, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.40/2.82 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.40/2.82 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 2.40/2.82 ) ] )
% 2.40/2.82 , clause( 20342, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.40/2.82 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.40/2.82 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 2.40/2.82 , lt( T, Y ) ] )
% 2.40/2.82 , clause( 20343, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.40/2.82 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.40/2.82 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 2.40/2.82 , leq( T, Y ) ] )
% 2.40/2.82 , clause( 20344, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 2.40/2.82 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 2.40/2.82 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 2.40/2.82 ) ), ~( ssList( W ) ) ] )
% 2.40/2.82 , clause( 20345, [ ssList( sk1 ) ] )
% 2.40/2.82 , clause( 20346, [ ssList( sk2 ) ] )
% 2.40/2.82 , clause( 20347, [ ssList( sk3 ) ] )
% 2.40/2.82 , clause( 20348, [ ssList( sk4 ) ] )
% 2.40/2.82 , clause( 20349, [ =( sk2, sk4 ) ] )
% 2.40/2.82 , clause( 20350, [ =( sk1, sk3 ) ] )
% 2.40/2.82 , clause( 20351, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 2.70/3.13 , clause( 20352, [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ] )
% 2.70/3.13 , clause( 20353, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 2.70/3.13 , clause( 20354, [ =( nil, sk2 ), ~( =( nil, sk2 ) ) ] )
% 2.70/3.13 , clause( 20355, [ ~( =( nil, sk1 ) ), =( nil, sk1 ) ] )
% 2.70/3.13 , clause( 20356, [ ~( =( nil, sk1 ) ), ~( =( nil, sk2 ) ) ] )
% 2.70/3.13 ] ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 7, [ ssList( nil ) ] )
% 2.70/3.13 , clause( 20167, [ ssList( nil ) ] )
% 2.70/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.70/3.13 , clause( 20220, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.70/3.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.70/3.13 1 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.70/3.13 , clause( 20232, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.70/3.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.70/3.13 1 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 2.70/3.13 , clause( 20243, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 2.70/3.13 ] )
% 2.70/3.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.70/3.13 1 ), ==>( 2, 2 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.70/3.13 ), =( nil, X ) ] )
% 2.70/3.13 , clause( 20277, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.70/3.13 X ) ), =( nil, X ) ] )
% 2.70/3.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.70/3.13 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 141, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 2.70/3.13 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.70/3.13 , clause( 20304, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 2.70/3.13 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.70/3.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.70/3.13 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 182, [ ssList( sk1 ) ] )
% 2.70/3.13 , clause( 20345, [ ssList( sk1 ) ] )
% 2.70/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 183, [ ssList( sk2 ) ] )
% 2.70/3.13 , clause( 20346, [ ssList( sk2 ) ] )
% 2.70/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 eqswap(
% 2.70/3.13 clause( 22847, [ =( sk4, sk2 ) ] )
% 2.70/3.13 , clause( 20349, [ =( sk2, sk4 ) ] )
% 2.70/3.13 , 0, substitution( 0, [] )).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 186, [ =( sk4, sk2 ) ] )
% 2.70/3.13 , clause( 22847, [ =( sk4, sk2 ) ] )
% 2.70/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 eqswap(
% 2.70/3.13 clause( 23606, [ =( sk3, sk1 ) ] )
% 2.70/3.13 , clause( 20350, [ =( sk1, sk3 ) ] )
% 2.70/3.13 , 0, substitution( 0, [] )).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 187, [ =( sk3, sk1 ) ] )
% 2.70/3.13 , clause( 23606, [ =( sk3, sk1 ) ] )
% 2.70/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 paramod(
% 2.70/3.13 clause( 24762, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 2.70/3.13 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.70/3.13 , 0, clause( 20351, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 2.70/3.13 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 paramod(
% 2.70/3.13 clause( 24763, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 2.70/3.13 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.70/3.13 , 0, clause( 24762, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 2.70/3.13 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 188, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 2.70/3.13 , clause( 24763, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 2.70/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.70/3.13 ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 paramod(
% 2.70/3.13 clause( 25947, [ =( nil, sk1 ), ~( =( nil, sk4 ) ) ] )
% 2.70/3.13 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.70/3.13 , 0, clause( 20352, [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ] )
% 2.70/3.13 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 paramod(
% 2.70/3.13 clause( 25948, [ ~( =( nil, sk2 ) ), =( nil, sk1 ) ] )
% 2.70/3.13 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.70/3.13 , 0, clause( 25947, [ =( nil, sk1 ), ~( =( nil, sk4 ) ) ] )
% 2.70/3.13 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 2.70/3.13 , clause( 25948, [ ~( =( nil, sk2 ) ), =( nil, sk1 ) ] )
% 2.70/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.70/3.13 ).
% 2.70/3.13
% 2.70/3.13
% 2.70/3.13 subsumption(
% 2.70/3.13 clause( 190, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 2.70/3.13 , clause( 20353, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 2.70/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.83/9.25 ).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 60968, [ ~( =( sk2, nil ) ), =( nil, sk1 ) ] )
% 8.83/9.25 , clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , 1, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 paramod(
% 8.83/9.25 clause( 60973, [ ~( =( sk1, sk1 ) ), ~( =( sk2, nil ) ), ~( =( nil, sk2 ) )
% 8.83/9.25 ] )
% 8.83/9.25 , clause( 60968, [ ~( =( sk2, nil ) ), =( nil, sk1 ) ] )
% 8.83/9.25 , 1, clause( 20356, [ ~( =( nil, sk1 ) ), ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqrefl(
% 8.83/9.25 clause( 61116, [ ~( =( sk2, nil ) ), ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , clause( 60973, [ ~( =( sk1, sk1 ) ), ~( =( sk2, nil ) ), ~( =( nil, sk2 )
% 8.83/9.25 ) ] )
% 8.83/9.25 , 0, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61117, [ ~( =( nil, sk2 ) ), ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , clause( 61116, [ ~( =( sk2, nil ) ), ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , 0, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 factor(
% 8.83/9.25 clause( 61120, [ ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , clause( 61117, [ ~( =( nil, sk2 ) ), ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , 0, 1, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 subsumption(
% 8.83/9.25 clause( 191, [ ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , clause( 61120, [ ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 resolution(
% 8.83/9.25 clause( 61122, [ frontsegP( sk1, sk1 ) ] )
% 8.83/9.25 , clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 8.83/9.25 , 0, clause( 182, [ ssList( sk1 ) ] )
% 8.83/9.25 , 0, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 subsumption(
% 8.83/9.25 clause( 524, [ frontsegP( sk1, sk1 ) ] )
% 8.83/9.25 , clause( 61122, [ frontsegP( sk1, sk1 ) ] )
% 8.83/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61123, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 8.83/9.25 , clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 8.83/9.25 , 1, substitution( 0, [ :=( X, X )] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 resolution(
% 8.83/9.25 clause( 61124, [ =( nil, app( nil, nil ) ) ] )
% 8.83/9.25 , clause( 61123, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 8.83/9.25 , 1, clause( 7, [ ssList( nil ) ] )
% 8.83/9.25 , 0, substitution( 0, [ :=( X, nil )] ), substitution( 1, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61125, [ =( app( nil, nil ), nil ) ] )
% 8.83/9.25 , clause( 61124, [ =( nil, app( nil, nil ) ) ] )
% 8.83/9.25 , 0, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 subsumption(
% 8.83/9.25 clause( 789, [ =( app( nil, nil ), nil ) ] )
% 8.83/9.25 , clause( 61125, [ =( app( nil, nil ), nil ) ] )
% 8.83/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61126, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 8.83/9.25 , clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 8.83/9.25 , 1, substitution( 0, [ :=( X, X )] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 resolution(
% 8.83/9.25 clause( 61127, [ =( sk1, app( sk1, nil ) ) ] )
% 8.83/9.25 , clause( 61126, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 8.83/9.25 , 1, clause( 182, [ ssList( sk1 ) ] )
% 8.83/9.25 , 0, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61128, [ =( app( sk1, nil ), sk1 ) ] )
% 8.83/9.25 , clause( 61127, [ =( sk1, app( sk1, nil ) ) ] )
% 8.83/9.25 , 0, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 subsumption(
% 8.83/9.25 clause( 790, [ =( app( sk1, nil ), sk1 ) ] )
% 8.83/9.25 , clause( 61128, [ =( app( sk1, nil ), sk1 ) ] )
% 8.83/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61130, [ =( X, nil ), ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) )
% 8.83/9.25 , ~( ssList( X ) ) ] )
% 8.83/9.25 , clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X
% 8.83/9.25 ) ), =( nil, X ) ] )
% 8.83/9.25 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61131, [ ~( =( nil, app( X, Y ) ) ), =( X, nil ), ~( ssList( Y ) )
% 8.83/9.25 , ~( ssList( X ) ) ] )
% 8.83/9.25 , clause( 61130, [ =( X, nil ), ~( =( app( X, Y ), nil ) ), ~( ssList( Y )
% 8.83/9.25 ), ~( ssList( X ) ) ] )
% 8.83/9.25 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61132, [ =( sk2, sk4 ) ] )
% 8.83/9.25 , clause( 186, [ =( sk4, sk2 ) ] )
% 8.83/9.25 , 0, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61135, [ =( sk2, nil ), =( nil, sk1 ) ] )
% 8.83/9.25 , clause( 190, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 8.83/9.25 , 0, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 eqswap(
% 8.83/9.25 clause( 61138, [ ~( =( sk2, nil ) ) ] )
% 8.83/9.25 , clause( 191, [ ~( =( nil, sk2 ) ) ] )
% 8.83/9.25 , 0, substitution( 0, [] )).
% 8.83/9.25
% 8.83/9.25
% 8.83/9.25 paramod(
% 8.83/9.25 clause( 61140, [ =( sk2, nil ), ~( =( nil, app( sk4, X ) ) ), ~( ssList( X
% 8.83/9.25 ) ), ~( ssList( sk4 ) ) ] )
% 8.83/9.25 , clause( 61131, [ ~( =( nil, app( X, Y ) ) ), =( X, nil ), ~( ssList( Y )
% 8.83/9.25 ), ~( ssList( X ) ) ] )
% 8.83/9.25 , 1, clause( 61132, [ =( sk2, sk4 ) ] )
% 8.83/9.25 , 0, 2, substitution( 0, [ :=( X, sk4 ), :=( Y, X )] ), substitution( 1, [] )
% 8.89/9.25 ).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 73271, [ ~( ssList( sk2 ) ), =( sk2, nil ), ~( =( nil, app( sk4, X
% 8.89/9.25 ) ) ), ~( ssList( X ) ) ] )
% 8.89/9.25 , clause( 186, [ =( sk4, sk2 ) ] )
% 8.89/9.25 , 0, clause( 61140, [ =( sk2, nil ), ~( =( nil, app( sk4, X ) ) ), ~(
% 8.89/9.25 ssList( X ) ), ~( ssList( sk4 ) ) ] )
% 8.89/9.25 , 3, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 74224, [ ~( =( nil, app( sk2, X ) ) ), ~( ssList( sk2 ) ), =( sk2,
% 8.89/9.25 nil ), ~( ssList( X ) ) ] )
% 8.89/9.25 , clause( 186, [ =( sk4, sk2 ) ] )
% 8.89/9.25 , 0, clause( 73271, [ ~( ssList( sk2 ) ), =( sk2, nil ), ~( =( nil, app(
% 8.89/9.25 sk4, X ) ) ), ~( ssList( X ) ) ] )
% 8.89/9.25 , 2, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75173, [ ~( =( sk1, app( sk2, X ) ) ), =( sk2, nil ), ~( ssList(
% 8.89/9.25 sk2 ) ), =( sk2, nil ), ~( ssList( X ) ) ] )
% 8.89/9.25 , clause( 61135, [ =( sk2, nil ), =( nil, sk1 ) ] )
% 8.89/9.25 , 1, clause( 74224, [ ~( =( nil, app( sk2, X ) ) ), ~( ssList( sk2 ) ), =(
% 8.89/9.25 sk2, nil ), ~( ssList( X ) ) ] )
% 8.89/9.25 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75186, [ ~( =( sk1, app( sk2, X ) ) ), =( sk2, nil ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( ssList( X ) ) ] )
% 8.89/9.25 , clause( 75173, [ ~( =( sk1, app( sk2, X ) ) ), =( sk2, nil ), ~( ssList(
% 8.89/9.25 sk2 ) ), =( sk2, nil ), ~( ssList( X ) ) ] )
% 8.89/9.25 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 resolution(
% 8.89/9.25 clause( 75477, [ ~( =( sk1, app( sk2, X ) ) ), ~( ssList( sk2 ) ), ~(
% 8.89/9.25 ssList( X ) ) ] )
% 8.89/9.25 , clause( 61138, [ ~( =( sk2, nil ) ) ] )
% 8.89/9.25 , 0, clause( 75186, [ ~( =( sk1, app( sk2, X ) ) ), =( sk2, nil ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( ssList( X ) ) ] )
% 8.89/9.25 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75478, [ ~( =( app( sk2, X ), sk1 ) ), ~( ssList( sk2 ) ), ~(
% 8.89/9.25 ssList( X ) ) ] )
% 8.89/9.25 , clause( 75477, [ ~( =( sk1, app( sk2, X ) ) ), ~( ssList( sk2 ) ), ~(
% 8.89/9.25 ssList( X ) ) ] )
% 8.89/9.25 , 0, substitution( 0, [ :=( X, X )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 subsumption(
% 8.89/9.25 clause( 6726, [ ~( ssList( X ) ), ~( ssList( sk2 ) ), ~( =( app( sk2, X ),
% 8.89/9.25 sk1 ) ) ] )
% 8.89/9.25 , clause( 75478, [ ~( =( app( sk2, X ), sk1 ) ), ~( ssList( sk2 ) ), ~(
% 8.89/9.25 ssList( X ) ) ] )
% 8.89/9.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 8.89/9.25 1 ), ==>( 2, 0 )] ) ).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75483, [ ~( ssList( sk2 ) ), ~( =( app( sk2, sk2 ), sk1 ) ) ] )
% 8.89/9.25 , clause( 6726, [ ~( ssList( X ) ), ~( ssList( sk2 ) ), ~( =( app( sk2, X )
% 8.89/9.25 , sk1 ) ) ] )
% 8.89/9.25 , 0, 1, substitution( 0, [ :=( X, sk2 )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 resolution(
% 8.89/9.25 clause( 75484, [ ~( =( app( sk2, sk2 ), sk1 ) ) ] )
% 8.89/9.25 , clause( 75483, [ ~( ssList( sk2 ) ), ~( =( app( sk2, sk2 ), sk1 ) ) ] )
% 8.89/9.25 , 0, clause( 183, [ ssList( sk2 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 subsumption(
% 8.89/9.25 clause( 6753, [ ~( =( app( sk2, sk2 ), sk1 ) ) ] )
% 8.89/9.25 , clause( 75484, [ ~( =( app( sk2, sk2 ), sk1 ) ) ] )
% 8.89/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75486, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) ) ]
% 8.89/9.25 )
% 8.89/9.25 , clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 8.89/9.25 )
% 8.89/9.25 , 2, substitution( 0, [ :=( X, X )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75487, [ ~( =( sk1, app( sk2, sk2 ) ) ) ] )
% 8.89/9.25 , clause( 6753, [ ~( =( app( sk2, sk2 ), sk1 ) ) ] )
% 8.89/9.25 , 0, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75490, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 8.89/9.25 , clause( 188, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , 1, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75495, [ ~( =( sk1, app( sk2, nil ) ) ), ~( frontsegP( nil, sk2 ) )
% 8.89/9.25 , ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75486, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) )
% 8.89/9.25 ] )
% 8.89/9.25 , 0, clause( 75487, [ ~( =( sk1, app( sk2, sk2 ) ) ) ] )
% 8.89/9.25 , 0, 5, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75501, [ ~( ssList( nil ) ), ~( frontsegP( nil, sk2 ) ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( =( sk1, app( sk2, nil ) ) ), ~( frontsegP( nil, sk2 ) ) ] )
% 8.89/9.25 , clause( 75486, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) )
% 8.89/9.25 ] )
% 8.89/9.25 , 0, clause( 75495, [ ~( =( sk1, app( sk2, nil ) ) ), ~( frontsegP( nil,
% 8.89/9.25 sk2 ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , 2, 2, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75506, [ ~( =( sk1, app( nil, nil ) ) ), ~( frontsegP( nil, sk2 ) )
% 8.89/9.25 , ~( ssList( sk2 ) ), ~( ssList( nil ) ), ~( frontsegP( nil, sk2 ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( frontsegP( nil, sk2 ) ) ] )
% 8.89/9.25 , clause( 75486, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) )
% 8.89/9.25 ] )
% 8.89/9.25 , 0, clause( 75501, [ ~( ssList( nil ) ), ~( frontsegP( nil, sk2 ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( =( sk1, app( sk2, nil ) ) ), ~( frontsegP( nil, sk2 )
% 8.89/9.25 ) ] )
% 8.89/9.25 , 3, 4, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75649, [ ~( =( sk1, nil ) ), ~( frontsegP( nil, sk2 ) ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( ssList( nil ) ), ~( frontsegP( nil, sk2 ) ), ~( ssList( sk2 )
% 8.89/9.25 ), ~( frontsegP( nil, sk2 ) ) ] )
% 8.89/9.25 , clause( 789, [ =( app( nil, nil ), nil ) ] )
% 8.89/9.25 , 0, clause( 75506, [ ~( =( sk1, app( nil, nil ) ) ), ~( frontsegP( nil,
% 8.89/9.25 sk2 ) ), ~( ssList( sk2 ) ), ~( ssList( nil ) ), ~( frontsegP( nil, sk2 )
% 8.89/9.25 ), ~( ssList( sk2 ) ), ~( frontsegP( nil, sk2 ) ) ] )
% 8.89/9.25 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75650, [ ~( =( sk1, nil ) ), ~( frontsegP( nil, sk2 ) ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( ssList( nil ) ), ~( ssList( sk2 ) ), ~( frontsegP( nil, sk2 )
% 8.89/9.25 ) ] )
% 8.89/9.25 , clause( 75649, [ ~( =( sk1, nil ) ), ~( frontsegP( nil, sk2 ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( ssList( nil ) ), ~( frontsegP( nil, sk2 ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( frontsegP( nil, sk2 ) ) ] )
% 8.89/9.25 , 1, 4, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75651, [ ~( =( sk1, nil ) ), ~( frontsegP( nil, sk2 ) ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( ssList( nil ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75650, [ ~( =( sk1, nil ) ), ~( frontsegP( nil, sk2 ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( ssList( nil ) ), ~( ssList( sk2 ) ), ~( frontsegP(
% 8.89/9.25 nil, sk2 ) ) ] )
% 8.89/9.25 , 1, 5, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75652, [ ~( =( sk1, nil ) ), ~( frontsegP( nil, sk2 ) ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( ssList( nil ) ) ] )
% 8.89/9.25 , clause( 75651, [ ~( =( sk1, nil ) ), ~( frontsegP( nil, sk2 ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( ssList( nil ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , 2, 4, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75655, [ ~( ssList( sk2 ) ), ~( =( sk1, nil ) ), ~( =( sk1, nil ) )
% 8.89/9.25 , ~( frontsegP( nil, sk2 ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75490, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 8.89/9.25 , 1, clause( 75652, [ ~( =( sk1, nil ) ), ~( frontsegP( nil, sk2 ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( ssList( nil ) ) ] )
% 8.89/9.25 , 3, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75657, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( =( sk1, nil ) ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75490, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 8.89/9.25 , 1, clause( 75655, [ ~( ssList( sk2 ) ), ~( =( sk1, nil ) ), ~( =( sk1,
% 8.89/9.25 nil ) ), ~( frontsegP( nil, sk2 ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , 3, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75668, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75657, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( =( sk1, nil ) ), ~( =( sk1, nil ) ), ~( ssList( sk2 )
% 8.89/9.25 ) ] )
% 8.89/9.25 , 1, 3, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75669, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~( ssList(
% 8.89/9.25 sk2 ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75668, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , 1, 3, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75670, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~( ssList(
% 8.89/9.25 sk2 ) ) ] )
% 8.89/9.25 , clause( 75669, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~(
% 8.89/9.25 ssList( sk2 ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , 2, 3, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 resolution(
% 8.89/9.25 clause( 75682, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ) ] )
% 8.89/9.25 , clause( 75670, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~(
% 8.89/9.25 ssList( sk2 ) ) ] )
% 8.89/9.25 , 2, clause( 183, [ ssList( sk2 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75683, [ ~( =( nil, sk1 ) ), ~( frontsegP( sk2, sk2 ) ) ] )
% 8.89/9.25 , clause( 75682, [ ~( frontsegP( sk2, sk2 ) ), ~( =( sk1, nil ) ) ] )
% 8.89/9.25 , 1, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 subsumption(
% 8.89/9.25 clause( 11972, [ ~( =( nil, sk1 ) ), ~( frontsegP( sk2, sk2 ) ) ] )
% 8.89/9.25 , clause( 75683, [ ~( =( nil, sk1 ) ), ~( frontsegP( sk2, sk2 ) ) ] )
% 8.89/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.89/9.25 ).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75684, [ ~( =( X, nil ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 8.89/9.25 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 8.89/9.25 , clause( 141, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 8.89/9.25 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 8.89/9.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75691, [ =( sk1, app( sk1, nil ) ) ] )
% 8.89/9.25 , clause( 790, [ =( app( sk1, nil ), sk1 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75693, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 8.89/9.25 , clause( 188, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , 1, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75696, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 8.89/9.25 , clause( 188, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , 1, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75698, [ =( sk1, nil ), ~( =( sk1, nil ) ), ~( =( nil, nil ) ), ~(
% 8.89/9.25 ssList( nil ) ), ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , clause( 75684, [ ~( =( X, nil ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 8.89/9.25 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 8.89/9.25 , 4, clause( 75691, [ =( sk1, app( sk1, nil ) ) ] )
% 8.89/9.25 , 0, 2, substitution( 0, [ :=( X, sk1 ), :=( Y, nil )] ), substitution( 1
% 8.89/9.25 , [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqrefl(
% 8.89/9.25 clause( 75699, [ =( sk1, nil ), ~( =( sk1, nil ) ), ~( ssList( nil ) ), ~(
% 8.89/9.25 ssList( sk1 ) ) ] )
% 8.89/9.25 , clause( 75698, [ =( sk1, nil ), ~( =( sk1, nil ) ), ~( =( nil, nil ) ),
% 8.89/9.25 ~( ssList( nil ) ), ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , 2, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75702, [ ~( ssList( sk2 ) ), ~( =( sk1, nil ) ), =( sk1, nil ), ~(
% 8.89/9.25 =( sk1, nil ) ), ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , clause( 75693, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 8.89/9.25 , 1, clause( 75699, [ =( sk1, nil ), ~( =( sk1, nil ) ), ~( ssList( nil ) )
% 8.89/9.25 , ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , 2, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75733, [ ~( ssList( sk2 ) ), ~( =( sk1, nil ) ), =( sk1, nil ), ~(
% 8.89/9.25 ssList( sk1 ) ) ] )
% 8.89/9.25 , clause( 75702, [ ~( ssList( sk2 ) ), ~( =( sk1, nil ) ), =( sk1, nil ),
% 8.89/9.25 ~( =( sk1, nil ) ), ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , 1, 3, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75735, [ =( sk1, sk2 ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ), ~(
% 8.89/9.25 =( sk1, nil ) ), ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , clause( 75696, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 8.89/9.25 , 1, clause( 75733, [ ~( ssList( sk2 ) ), ~( =( sk1, nil ) ), =( sk1, nil )
% 8.89/9.25 , ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , 2, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75746, [ =( sk1, sk2 ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ), ~(
% 8.89/9.25 ssList( sk1 ) ) ] )
% 8.89/9.25 , clause( 75735, [ =( sk1, sk2 ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ),
% 8.89/9.25 ~( =( sk1, nil ) ), ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , 1, 3, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 resolution(
% 8.89/9.25 clause( 75747, [ =( sk1, sk2 ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75746, [ =( sk1, sk2 ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ),
% 8.89/9.25 ~( ssList( sk1 ) ) ] )
% 8.89/9.25 , 3, clause( 182, [ ssList( sk1 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75749, [ ~( =( nil, sk1 ) ), =( sk1, sk2 ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75747, [ =( sk1, sk2 ), ~( =( sk1, nil ) ), ~( ssList( sk2 ) ) ]
% 8.89/9.25 )
% 8.89/9.25 , 1, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75750, [ =( sk2, sk1 ), ~( =( nil, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75749, [ ~( =( nil, sk1 ) ), =( sk1, sk2 ), ~( ssList( sk2 ) ) ]
% 8.89/9.25 )
% 8.89/9.25 , 1, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 subsumption(
% 8.89/9.25 clause( 13441, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ), ~( ssList( sk2 ) ) ] )
% 8.89/9.25 , clause( 75750, [ =( sk2, sk1 ), ~( =( nil, sk1 ) ), ~( ssList( sk2 ) ) ]
% 8.89/9.25 )
% 8.89/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 8.89/9.25 , 2 )] ) ).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 resolution(
% 8.89/9.25 clause( 75754, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ) ] )
% 8.89/9.25 , clause( 13441, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ), ~( ssList( sk2 ) ) ]
% 8.89/9.25 )
% 8.89/9.25 , 2, clause( 183, [ ssList( sk2 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 subsumption(
% 8.89/9.25 clause( 20042, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ) ] )
% 8.89/9.25 , clause( 75754, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ) ] )
% 8.89/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 8.89/9.25 ).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75759, [ ~( =( sk1, nil ) ), =( sk2, sk1 ) ] )
% 8.89/9.25 , clause( 20042, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75763, [ ~( frontsegP( sk2, sk1 ) ), ~( =( sk1, nil ) ), ~( =( nil
% 8.89/9.25 , sk1 ) ) ] )
% 8.89/9.25 , clause( 75759, [ ~( =( sk1, nil ) ), =( sk2, sk1 ) ] )
% 8.89/9.25 , 1, clause( 11972, [ ~( =( nil, sk1 ) ), ~( frontsegP( sk2, sk2 ) ) ] )
% 8.89/9.25 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 paramod(
% 8.89/9.25 clause( 75764, [ ~( frontsegP( sk1, sk1 ) ), ~( =( sk1, nil ) ), ~( =( sk1
% 8.89/9.25 , nil ) ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , clause( 75759, [ ~( =( sk1, nil ) ), =( sk2, sk1 ) ] )
% 8.89/9.25 , 1, clause( 75763, [ ~( frontsegP( sk2, sk1 ) ), ~( =( sk1, nil ) ), ~(
% 8.89/9.25 =( nil, sk1 ) ) ] )
% 8.89/9.25 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75765, [ ~( frontsegP( sk1, sk1 ) ), ~( =( sk1, nil ) ), ~( =( nil
% 8.89/9.25 , sk1 ) ) ] )
% 8.89/9.25 , clause( 75764, [ ~( frontsegP( sk1, sk1 ) ), ~( =( sk1, nil ) ), ~( =(
% 8.89/9.25 sk1, nil ) ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , 1, 2, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 resolution(
% 8.89/9.25 clause( 75766, [ ~( =( sk1, nil ) ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , clause( 75765, [ ~( frontsegP( sk1, sk1 ) ), ~( =( sk1, nil ) ), ~( =(
% 8.89/9.25 nil, sk1 ) ) ] )
% 8.89/9.25 , 0, clause( 524, [ frontsegP( sk1, sk1 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 eqswap(
% 8.89/9.25 clause( 75767, [ ~( =( nil, sk1 ) ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , clause( 75766, [ ~( =( sk1, nil ) ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , 0, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75769, [ ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , clause( 75767, [ ~( =( nil, sk1 ) ), ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , 0, 1, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 subsumption(
% 8.89/9.25 clause( 20053, [ ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , clause( 75769, [ ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 resolution(
% 8.89/9.25 clause( 75783, [ =( nil, sk1 ), =( nil, sk1 ) ] )
% 8.89/9.25 , clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 8.89/9.25 , 1, clause( 190, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 factor(
% 8.89/9.25 clause( 75784, [ =( nil, sk1 ) ] )
% 8.89/9.25 , clause( 75783, [ =( nil, sk1 ), =( nil, sk1 ) ] )
% 8.89/9.25 , 0, 1, substitution( 0, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 resolution(
% 8.89/9.25 clause( 75785, [] )
% 8.89/9.25 , clause( 20053, [ ~( =( nil, sk1 ) ) ] )
% 8.89/9.25 , 0, clause( 75784, [ =( nil, sk1 ) ] )
% 8.89/9.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 subsumption(
% 8.89/9.25 clause( 20158, [] )
% 8.89/9.25 , clause( 75785, [] )
% 8.89/9.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 end.
% 8.89/9.25
% 8.89/9.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.89/9.25
% 8.89/9.25 Memory use:
% 8.89/9.25
% 8.89/9.25 space for terms: 337836
% 8.89/9.25 space for clauses: 943782
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 clauses generated: 76513
% 8.89/9.25 clauses kept: 20159
% 8.89/9.25 clauses selected: 590
% 8.89/9.25 clauses deleted: 1094
% 8.89/9.25 clauses inuse deleted: 5
% 8.89/9.25
% 8.89/9.25 subsentry: 1004861
% 8.89/9.25 literals s-matched: 516980
% 8.89/9.25 literals matched: 456548
% 8.89/9.25 full subsumption: 138167
% 8.89/9.25
% 8.89/9.25 checksum: 608570416
% 8.89/9.25
% 8.89/9.25
% 8.89/9.25 Bliksem ended
%------------------------------------------------------------------------------