TSTP Solution File: SWC011-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC011-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:32:57 EDT 2022
% Result : Unsatisfiable 4.08s 4.47s
% Output : Refutation 4.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.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 01:35:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.14 *** allocated 10000 integers for termspace/termends
% 0.73/1.14 *** allocated 10000 integers for clauses
% 0.73/1.14 *** allocated 10000 integers for justifications
% 0.73/1.14 Bliksem 1.12
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Automatic Strategy Selection
% 0.73/1.14
% 0.73/1.14 Clauses:
% 0.73/1.14 [
% 0.73/1.14 [ equalelemsP( nil ) ],
% 0.73/1.14 [ duplicatefreeP( nil ) ],
% 0.73/1.14 [ strictorderedP( nil ) ],
% 0.73/1.14 [ totalorderedP( nil ) ],
% 0.73/1.14 [ strictorderP( nil ) ],
% 0.73/1.14 [ totalorderP( nil ) ],
% 0.73/1.14 [ cyclefreeP( nil ) ],
% 0.73/1.14 [ ssList( nil ) ],
% 0.73/1.14 [ ssItem( skac3 ) ],
% 0.73/1.14 [ ssItem( skac2 ) ],
% 0.73/1.14 [ ~( singletonP( nil ) ) ],
% 0.73/1.14 [ ssItem( skaf83( X ) ) ],
% 0.73/1.14 [ ssList( skaf82( X ) ) ],
% 0.73/1.14 [ ssList( skaf81( X ) ) ],
% 0.73/1.14 [ ssList( skaf80( X ) ) ],
% 0.73/1.14 [ ssItem( skaf79( X ) ) ],
% 0.73/1.14 [ ssItem( skaf78( X ) ) ],
% 0.73/1.14 [ ssList( skaf77( X ) ) ],
% 0.73/1.14 [ ssList( skaf76( X ) ) ],
% 0.73/1.14 [ ssList( skaf75( X ) ) ],
% 0.73/1.14 [ ssItem( skaf74( X ) ) ],
% 0.73/1.14 [ ssList( skaf73( X ) ) ],
% 0.73/1.14 [ ssList( skaf72( X ) ) ],
% 0.73/1.14 [ ssList( skaf71( X ) ) ],
% 0.73/1.14 [ ssItem( skaf70( X ) ) ],
% 0.73/1.14 [ ssItem( skaf69( X ) ) ],
% 0.73/1.14 [ ssList( skaf68( X ) ) ],
% 0.73/1.14 [ ssList( skaf67( X ) ) ],
% 0.73/1.14 [ ssList( skaf66( X ) ) ],
% 0.73/1.14 [ ssItem( skaf65( X ) ) ],
% 0.73/1.14 [ ssItem( skaf64( X ) ) ],
% 0.73/1.14 [ ssList( skaf63( X ) ) ],
% 0.73/1.14 [ ssList( skaf62( X ) ) ],
% 0.73/1.14 [ ssList( skaf61( X ) ) ],
% 0.73/1.14 [ ssItem( skaf60( X ) ) ],
% 0.73/1.14 [ ssItem( skaf59( X ) ) ],
% 0.73/1.14 [ ssList( skaf58( X ) ) ],
% 0.73/1.14 [ ssList( skaf57( X ) ) ],
% 0.73/1.14 [ ssList( skaf56( X ) ) ],
% 0.73/1.14 [ ssItem( skaf55( X ) ) ],
% 0.73/1.14 [ ssItem( skaf54( X ) ) ],
% 0.73/1.14 [ ssList( skaf53( X ) ) ],
% 0.73/1.14 [ ssList( skaf52( X ) ) ],
% 0.73/1.14 [ ssList( skaf51( X ) ) ],
% 0.73/1.14 [ ssItem( skaf50( X ) ) ],
% 0.73/1.14 [ ssItem( skaf49( X ) ) ],
% 0.73/1.14 [ ssItem( skaf44( X ) ) ],
% 0.73/1.14 [ ssList( skaf48( X, Y ) ) ],
% 0.73/1.14 [ ssList( skaf47( X, Y ) ) ],
% 0.73/1.14 [ ssList( skaf46( X, Y ) ) ],
% 0.73/1.14 [ ssList( skaf45( X, Y ) ) ],
% 0.73/1.14 [ ssList( skaf43( X, Y ) ) ],
% 0.73/1.14 [ ssList( skaf42( X, Y ) ) ],
% 0.73/1.14 [ ~( =( skac3, skac2 ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.73/1.14 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.73/1.14 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.73/1.14 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.73/1.14 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.73/1.14 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.73/1.14 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.73/1.14 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.73/1.14 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.73/1.14 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.14 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.73/1.14 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.14 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.73/1.14 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.73/1.14 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.73/1.14 ],
% 0.73/1.14 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.73/1.14 X ) ],
% 0.73/1.14 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.73/1.14 X ) ],
% 0.73/1.14 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.73/1.14 ) ],
% 0.73/1.14 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.73/1.14 ) ],
% 0.73/1.14 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.73/1.14 ) ],
% 0.73/1.14 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.73/1.14 ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.73/1.14 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.73/1.14 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.73/1.14 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.73/1.14 ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.73/1.14 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.73/1.14 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.73/1.14 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.73/1.14 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.73/1.14 ) ],
% 0.73/1.14 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.73/1.14 cons( Y, X ) ) ],
% 0.73/1.14 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.73/1.14 cons( Y, X ) ) ],
% 0.73/1.14 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.73/1.14 singletonP( Y ) ],
% 0.73/1.14 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.73/1.14 , X ) ],
% 0.73/1.14 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.73/1.14 , Y ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.73/1.14 X, Y ) ) ],
% 0.73/1.14 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.73/1.14 , Y ) ],
% 0.73/1.14 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.73/1.14 , Y ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.73/1.14 , hd( Y ) ) ],
% 0.73/1.14 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.73/1.14 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.73/1.14 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.73/1.14 , totalorderedP( Y ), =( nil, Y ) ],
% 0.73/1.14 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.73/1.14 , =( Y, X ) ],
% 0.73/1.14 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.14 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.14 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.14 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.14 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.14 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.14 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.73/1.14 , =( Y, X ) ],
% 0.73/1.14 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.73/1.14 skaf46( X, Y ), Y ), X ) ],
% 0.73/1.14 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.73/1.14 , skaf45( X, Y ) ), X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.73/1.14 , app( tl( Y ), X ) ) ],
% 0.73/1.14 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.73/1.14 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.73/1.14 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.73/1.14 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.73/1.14 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.73/1.14 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.73/1.14 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.73/1.14 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.73/1.14 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.73/1.14 memberP( cons( Y, Z ), X ) ],
% 0.73/1.14 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.73/1.14 ) ), memberP( cons( Z, X ), Y ) ],
% 0.73/1.14 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.73/1.14 ) ), memberP( app( X, Z ), Y ) ],
% 0.73/1.14 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.73/1.14 ) ), memberP( app( Z, X ), Y ) ],
% 0.73/1.14 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.73/1.14 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.73/1.14 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.73/1.14 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.73/1.14 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.73/1.14 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.73/1.14 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.73/1.14 , =( app( X, Y ), nil ) ],
% 0.73/1.14 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.73/1.14 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.73/1.14 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.14 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.73/1.14 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.14 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.73/1.14 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.73/1.14 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.73/1.14 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.73/1.14 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.73/1.14 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.73/1.14 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.73/1.14 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.14 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.73/1.14 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.14 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.73/1.14 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.14 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.73/1.14 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.73/1.14 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.73/1.14 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.14 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.73/1.14 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.73/1.14 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.73/1.14 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.73/1.14 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.73/1.14 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.73/1.14 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.73/1.14 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.73/1.14 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.73/1.14 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.73/1.14 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.73/1.14 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.73/1.14 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.73/1.14 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.73/1.14 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.73/1.14 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.73/1.14 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.73/1.14 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.73/1.14 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.73/1.14 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.73/1.14 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.73/1.14 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.73/1.14 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.73/1.14 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.73/1.14 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.73/1.14 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.73/1.14 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.73/1.14 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.73/1.14 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.73/1.14 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.73/1.14 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.73/1.14 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.73/1.14 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.73/1.14 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.73/1.14 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.73/1.14 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.73/1.14 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.73/1.14 T, Y ) ) ],
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.73/1.14 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.73/1.14 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.73/1.14 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.73/1.14 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.14 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.14 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.14 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.14 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.73/1.14 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.73/1.14 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.73/1.14 W ) ) ],
% 0.73/1.14 [ ssList( sk1 ) ],
% 0.73/1.14 [ ssList( sk2 ) ],
% 0.73/1.14 [ ssList( sk3 ) ],
% 0.73/1.14 [ ssList( sk4 ) ],
% 0.73/1.14 [ =( sk2, sk4 ) ],
% 0.73/1.14 [ =( sk1, sk3 ) ],
% 0.73/1.14 [ neq( sk2, nil ), neq( sk2, nil ) ],
% 0.73/1.14 [ neq( sk2, nil ), ~( neq( sk4, nil ) ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( app(
% 0.73/1.14 Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 ) ), neq( sk2,
% 0.73/1.14 nil ) ],
% 0.73/1.14 [ ssItem( sk5 ), neq( sk2, nil ) ],
% 0.73/1.14 [ ssList( sk6 ), neq( sk2, nil ) ],
% 0.73/1.14 [ ssList( sk7 ), neq( sk2, nil ) ],
% 0.73/1.14 [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), neq( sk2, nil ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ =( app( sk6, sk7 ), sk3 ), neq( sk2, nil ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( app(
% 0.73/1.14 Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 ) ), ~( neq(
% 0.73/1.14 sk4, nil ) ) ],
% 0.73/1.14 [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ],
% 0.73/1.14 [ ssList( sk6 ), ~( neq( sk4, nil ) ) ],
% 0.73/1.14 [ ssList( sk7 ), ~( neq( sk4, nil ) ) ],
% 0.73/1.14 [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), ~( neq( sk4, nil )
% 0.73/1.14 ) ],
% 0.73/1.14 [ =( app( sk6, sk7 ), sk3 ), ~( neq( sk4, nil ) ) ]
% 0.73/1.14 ] .
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 percentage equality = 0.162119, percentage horn = 0.828283
% 0.73/1.14 This is a problem with some equality
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Options Used:
% 0.73/1.14
% 0.73/1.14 useres = 1
% 0.73/1.14 useparamod = 1
% 0.73/1.14 useeqrefl = 1
% 0.73/1.14 useeqfact = 1
% 0.73/1.14 usefactor = 1
% 0.73/1.14 usesimpsplitting = 0
% 0.73/1.14 usesimpdemod = 5
% 0.73/1.14 usesimpres = 3
% 0.73/1.14
% 0.73/1.14 resimpinuse = 1000
% 0.73/1.14 resimpclauses = 20000
% 0.73/1.14 substype = eqrewr
% 0.73/1.14 backwardsubs = 1
% 0.73/1.14 selectoldest = 5
% 0.73/1.14
% 0.73/1.14 litorderings [0] = split
% 0.73/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 4.08/4.47
% 4.08/4.47 termordering = kbo
% 4.08/4.47
% 4.08/4.47 litapriori = 0
% 4.08/4.47 termapriori = 1
% 4.08/4.47 litaposteriori = 0
% 4.08/4.47 termaposteriori = 0
% 4.08/4.47 demodaposteriori = 0
% 4.08/4.47 ordereqreflfact = 0
% 4.08/4.47
% 4.08/4.47 litselect = negord
% 4.08/4.47
% 4.08/4.47 maxweight = 15
% 4.08/4.47 maxdepth = 30000
% 4.08/4.47 maxlength = 115
% 4.08/4.47 maxnrvars = 195
% 4.08/4.47 excuselevel = 1
% 4.08/4.47 increasemaxweight = 1
% 4.08/4.47
% 4.08/4.47 maxselected = 10000000
% 4.08/4.47 maxnrclauses = 10000000
% 4.08/4.47
% 4.08/4.47 showgenerated = 0
% 4.08/4.47 showkept = 0
% 4.08/4.47 showselected = 0
% 4.08/4.47 showdeleted = 0
% 4.08/4.47 showresimp = 1
% 4.08/4.47 showstatus = 2000
% 4.08/4.47
% 4.08/4.47 prologoutput = 1
% 4.08/4.47 nrgoals = 5000000
% 4.08/4.47 totalproof = 1
% 4.08/4.47
% 4.08/4.47 Symbols occurring in the translation:
% 4.08/4.47
% 4.08/4.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.08/4.47 . [1, 2] (w:1, o:81, a:1, s:1, b:0),
% 4.08/4.47 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 4.08/4.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.08/4.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.08/4.47 nil [39, 0] (w:1, o:18, a:1, s:1, b:0),
% 4.08/4.47 equalelemsP [40, 1] (w:1, o:35, a:1, s:1, b:0),
% 4.08/4.47 duplicatefreeP [41, 1] (w:1, o:34, a:1, s:1, b:0),
% 4.08/4.47 strictorderedP [42, 1] (w:1, o:38, a:1, s:1, b:0),
% 4.08/4.47 totalorderedP [43, 1] (w:1, o:77, a:1, s:1, b:0),
% 4.08/4.47 strictorderP [44, 1] (w:1, o:39, a:1, s:1, b:0),
% 4.08/4.47 totalorderP [45, 1] (w:1, o:78, a:1, s:1, b:0),
% 4.08/4.47 cyclefreeP [46, 1] (w:1, o:33, a:1, s:1, b:0),
% 4.08/4.47 ssList [47, 1] (w:1, o:36, a:1, s:1, b:0),
% 4.08/4.47 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 4.08/4.47 ssItem [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 4.08/4.47 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 4.08/4.47 singletonP [51, 1] (w:1, o:40, a:1, s:1, b:0),
% 4.08/4.47 skaf83 [53, 1] (w:1, o:76, a:1, s:1, b:0),
% 4.08/4.47 skaf82 [54, 1] (w:1, o:75, a:1, s:1, b:0),
% 4.08/4.47 skaf81 [55, 1] (w:1, o:74, a:1, s:1, b:0),
% 4.08/4.47 skaf80 [56, 1] (w:1, o:73, a:1, s:1, b:0),
% 4.08/4.47 skaf79 [57, 1] (w:1, o:72, a:1, s:1, b:0),
% 4.08/4.47 skaf78 [58, 1] (w:1, o:71, a:1, s:1, b:0),
% 4.08/4.47 skaf77 [59, 1] (w:1, o:70, a:1, s:1, b:0),
% 4.08/4.47 skaf76 [60, 1] (w:1, o:69, a:1, s:1, b:0),
% 4.08/4.47 skaf75 [61, 1] (w:1, o:68, a:1, s:1, b:0),
% 4.08/4.47 skaf74 [62, 1] (w:1, o:67, a:1, s:1, b:0),
% 4.08/4.47 skaf73 [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 4.08/4.47 skaf72 [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 4.08/4.47 skaf71 [65, 1] (w:1, o:64, a:1, s:1, b:0),
% 4.08/4.47 skaf70 [66, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.08/4.47 skaf69 [67, 1] (w:1, o:62, a:1, s:1, b:0),
% 4.08/4.47 skaf68 [68, 1] (w:1, o:61, a:1, s:1, b:0),
% 4.08/4.47 skaf67 [69, 1] (w:1, o:60, a:1, s:1, b:0),
% 4.08/4.47 skaf66 [70, 1] (w:1, o:59, a:1, s:1, b:0),
% 4.08/4.47 skaf65 [71, 1] (w:1, o:58, a:1, s:1, b:0),
% 4.08/4.47 skaf64 [72, 1] (w:1, o:57, a:1, s:1, b:0),
% 4.08/4.47 skaf63 [73, 1] (w:1, o:56, a:1, s:1, b:0),
% 4.08/4.47 skaf62 [74, 1] (w:1, o:55, a:1, s:1, b:0),
% 4.08/4.47 skaf61 [75, 1] (w:1, o:54, a:1, s:1, b:0),
% 4.08/4.47 skaf60 [76, 1] (w:1, o:53, a:1, s:1, b:0),
% 4.08/4.47 skaf59 [77, 1] (w:1, o:52, a:1, s:1, b:0),
% 4.08/4.47 skaf58 [78, 1] (w:1, o:51, a:1, s:1, b:0),
% 4.08/4.47 skaf57 [79, 1] (w:1, o:50, a:1, s:1, b:0),
% 4.08/4.47 skaf56 [80, 1] (w:1, o:49, a:1, s:1, b:0),
% 4.08/4.47 skaf55 [81, 1] (w:1, o:48, a:1, s:1, b:0),
% 4.08/4.47 skaf54 [82, 1] (w:1, o:47, a:1, s:1, b:0),
% 4.08/4.47 skaf53 [83, 1] (w:1, o:46, a:1, s:1, b:0),
% 4.08/4.47 skaf52 [84, 1] (w:1, o:45, a:1, s:1, b:0),
% 4.08/4.47 skaf51 [85, 1] (w:1, o:44, a:1, s:1, b:0),
% 4.08/4.47 skaf50 [86, 1] (w:1, o:43, a:1, s:1, b:0),
% 4.08/4.47 skaf49 [87, 1] (w:1, o:41, a:1, s:1, b:0),
% 4.08/4.47 skaf44 [88, 1] (w:1, o:42, a:1, s:1, b:0),
% 4.08/4.47 skaf48 [90, 2] (w:1, o:110, a:1, s:1, b:0),
% 4.08/4.47 skaf47 [91, 2] (w:1, o:109, a:1, s:1, b:0),
% 4.08/4.47 skaf46 [92, 2] (w:1, o:108, a:1, s:1, b:0),
% 4.08/4.47 skaf45 [93, 2] (w:1, o:107, a:1, s:1, b:0),
% 4.08/4.47 skaf43 [94, 2] (w:1, o:112, a:1, s:1, b:0),
% 4.08/4.47 skaf42 [95, 2] (w:1, o:111, a:1, s:1, b:0),
% 4.08/4.47 geq [96, 2] (w:1, o:114, a:1, s:1, b:0),
% 4.08/4.47 segmentP [97, 2] (w:1, o:115, a:1, s:1, b:0),
% 4.08/4.47 rearsegP [98, 2] (w:1, o:106, a:1, s:1, b:0),
% 4.08/4.47 frontsegP [99, 2] (w:1, o:113, a:1, s:1, b:0),
% 4.08/4.47 leq [100, 2] (w:1, o:116, a:1, s:1, b:0),
% 4.08/4.47 lt [101, 2] (w:1, o:117, a:1, s:1, b:0),
% 4.08/4.47 cons [102, 2] (w:1, o:118, a:1, s:1, b:0),
% 4.08/4.47 memberP [103, 2] (w:1, o:119, a:1, s:1, b:0),
% 4.08/4.47 app [104, 2] (w:1, o:120, a:1, s:1, b:0),
% 4.08/4.47 tl [105, 1] (w:1, o:79, a:1, s:1, b:0),
% 4.08/4.47 hd [106, 1] (w:1, o:80, a:1, s:1, b:0),
% 4.08/4.47 neq [107, 2] (w:1, o:121, a:1, s:1, b:0),
% 4.08/4.47 gt [108, 2] (w:1, o:122, a:1, s:1, b:0),
% 4.08/4.47 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.08/4.47 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.08/4.47 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.08/4.47 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 4.08/4.47 sk5 [120, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.08/4.47 sk6 [121, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.08/4.47 sk7 [122, 0] (w:1, o:13, a:1, s:1, b:0).
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Starting Search:
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 4051
% 4.08/4.47 Kept: 2003
% 4.08/4.47 Inuse: 208
% 4.08/4.47 Deleted: 2
% 4.08/4.47 Deletedinuse: 0
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 9216
% 4.08/4.47 Kept: 4810
% 4.08/4.47 Inuse: 294
% 4.08/4.47 Deleted: 2
% 4.08/4.47 Deletedinuse: 0
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 15577
% 4.08/4.47 Kept: 7440
% 4.08/4.47 Inuse: 373
% 4.08/4.47 Deleted: 3
% 4.08/4.47 Deletedinuse: 0
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 21527
% 4.08/4.47 Kept: 9442
% 4.08/4.47 Inuse: 396
% 4.08/4.47 Deleted: 3
% 4.08/4.47 Deletedinuse: 0
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 37767
% 4.08/4.47 Kept: 11471
% 4.08/4.47 Inuse: 443
% 4.08/4.47 Deleted: 5
% 4.08/4.47 Deletedinuse: 2
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 45960
% 4.08/4.47 Kept: 13602
% 4.08/4.47 Inuse: 493
% 4.08/4.47 Deleted: 5
% 4.08/4.47 Deletedinuse: 2
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 57323
% 4.08/4.47 Kept: 15748
% 4.08/4.47 Inuse: 533
% 4.08/4.47 Deleted: 6
% 4.08/4.47 Deletedinuse: 3
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 65833
% 4.08/4.47 Kept: 17756
% 4.08/4.47 Inuse: 569
% 4.08/4.47 Deleted: 10
% 4.08/4.47 Deletedinuse: 3
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 74597
% 4.08/4.47 Kept: 19767
% 4.08/4.47 Inuse: 592
% 4.08/4.47 Deleted: 12
% 4.08/4.47 Deletedinuse: 5
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying clauses:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 84563
% 4.08/4.47 Kept: 21928
% 4.08/4.47 Inuse: 619
% 4.08/4.47 Deleted: 1062
% 4.08/4.47 Deletedinuse: 14
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 95717
% 4.08/4.47 Kept: 24256
% 4.08/4.47 Inuse: 644
% 4.08/4.47 Deleted: 1062
% 4.08/4.47 Deletedinuse: 14
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 114374
% 4.08/4.47 Kept: 26409
% 4.08/4.47 Inuse: 664
% 4.08/4.47 Deleted: 1062
% 4.08/4.47 Deletedinuse: 14
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Intermediate Status:
% 4.08/4.47 Generated: 134459
% 4.08/4.47 Kept: 28558
% 4.08/4.47 Inuse: 689
% 4.08/4.47 Deleted: 1062
% 4.08/4.47 Deletedinuse: 14
% 4.08/4.47
% 4.08/4.47 Resimplifying inuse:
% 4.08/4.47 Done
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 Bliksems!, er is een bewijs:
% 4.08/4.47 % SZS status Unsatisfiable
% 4.08/4.47 % SZS output start Refutation
% 4.08/4.47
% 4.08/4.47 clause( 186, [ =( sk4, sk2 ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 187, [ =( sk3, sk1 ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 188, [ neq( sk2, nil ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 4.08/4.47 app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 ) ) ]
% 4.08/4.47 )
% 4.08/4.47 .
% 4.08/4.47 clause( 190, [ ssItem( sk5 ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 191, [ ssList( sk6 ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 192, [ ssList( sk7 ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 194, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 28830, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.08/4.47 .
% 4.08/4.47 clause( 28858, [] )
% 4.08/4.47 .
% 4.08/4.47
% 4.08/4.47
% 4.08/4.47 % SZS output end Refutation
% 4.08/4.47 found a proof!
% 4.08/4.47
% 4.08/4.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.08/4.47
% 4.08/4.47 initialclauses(
% 4.08/4.47 [ clause( 28860, [ equalelemsP( nil ) ] )
% 4.08/4.47 , clause( 28861, [ duplicatefreeP( nil ) ] )
% 4.08/4.47 , clause( 28862, [ strictorderedP( nil ) ] )
% 4.08/4.47 , clause( 28863, [ totalorderedP( nil ) ] )
% 4.08/4.47 , clause( 28864, [ strictorderP( nil ) ] )
% 4.08/4.47 , clause( 28865, [ totalorderP( nil ) ] )
% 4.08/4.47 , clause( 28866, [ cyclefreeP( nil ) ] )
% 4.08/4.47 , clause( 28867, [ ssList( nil ) ] )
% 4.08/4.47 , clause( 28868, [ ssItem( skac3 ) ] )
% 4.08/4.47 , clause( 28869, [ ssItem( skac2 ) ] )
% 4.08/4.47 , clause( 28870, [ ~( singletonP( nil ) ) ] )
% 4.08/4.47 , clause( 28871, [ ssItem( skaf83( X ) ) ] )
% 4.08/4.47 , clause( 28872, [ ssList( skaf82( X ) ) ] )
% 4.08/4.47 , clause( 28873, [ ssList( skaf81( X ) ) ] )
% 4.08/4.47 , clause( 28874, [ ssList( skaf80( X ) ) ] )
% 4.08/4.47 , clause( 28875, [ ssItem( skaf79( X ) ) ] )
% 4.08/4.47 , clause( 28876, [ ssItem( skaf78( X ) ) ] )
% 4.08/4.47 , clause( 28877, [ ssList( skaf77( X ) ) ] )
% 4.08/4.47 , clause( 28878, [ ssList( skaf76( X ) ) ] )
% 4.08/4.47 , clause( 28879, [ ssList( skaf75( X ) ) ] )
% 4.08/4.47 , clause( 28880, [ ssItem( skaf74( X ) ) ] )
% 4.08/4.47 , clause( 28881, [ ssList( skaf73( X ) ) ] )
% 4.08/4.47 , clause( 28882, [ ssList( skaf72( X ) ) ] )
% 4.08/4.47 , clause( 28883, [ ssList( skaf71( X ) ) ] )
% 4.08/4.47 , clause( 28884, [ ssItem( skaf70( X ) ) ] )
% 4.08/4.47 , clause( 28885, [ ssItem( skaf69( X ) ) ] )
% 4.08/4.47 , clause( 28886, [ ssList( skaf68( X ) ) ] )
% 4.08/4.47 , clause( 28887, [ ssList( skaf67( X ) ) ] )
% 4.08/4.47 , clause( 28888, [ ssList( skaf66( X ) ) ] )
% 4.08/4.47 , clause( 28889, [ ssItem( skaf65( X ) ) ] )
% 4.08/4.47 , clause( 28890, [ ssItem( skaf64( X ) ) ] )
% 4.08/4.47 , clause( 28891, [ ssList( skaf63( X ) ) ] )
% 4.08/4.47 , clause( 28892, [ ssList( skaf62( X ) ) ] )
% 4.08/4.47 , clause( 28893, [ ssList( skaf61( X ) ) ] )
% 4.08/4.47 , clause( 28894, [ ssItem( skaf60( X ) ) ] )
% 4.08/4.47 , clause( 28895, [ ssItem( skaf59( X ) ) ] )
% 4.08/4.47 , clause( 28896, [ ssList( skaf58( X ) ) ] )
% 4.08/4.47 , clause( 28897, [ ssList( skaf57( X ) ) ] )
% 4.08/4.47 , clause( 28898, [ ssList( skaf56( X ) ) ] )
% 4.08/4.47 , clause( 28899, [ ssItem( skaf55( X ) ) ] )
% 4.08/4.47 , clause( 28900, [ ssItem( skaf54( X ) ) ] )
% 4.08/4.47 , clause( 28901, [ ssList( skaf53( X ) ) ] )
% 4.08/4.47 , clause( 28902, [ ssList( skaf52( X ) ) ] )
% 4.08/4.47 , clause( 28903, [ ssList( skaf51( X ) ) ] )
% 4.08/4.47 , clause( 28904, [ ssItem( skaf50( X ) ) ] )
% 4.08/4.47 , clause( 28905, [ ssItem( skaf49( X ) ) ] )
% 4.08/4.47 , clause( 28906, [ ssItem( skaf44( X ) ) ] )
% 4.08/4.47 , clause( 28907, [ ssList( skaf48( X, Y ) ) ] )
% 4.08/4.47 , clause( 28908, [ ssList( skaf47( X, Y ) ) ] )
% 4.08/4.47 , clause( 28909, [ ssList( skaf46( X, Y ) ) ] )
% 4.08/4.47 , clause( 28910, [ ssList( skaf45( X, Y ) ) ] )
% 4.08/4.47 , clause( 28911, [ ssList( skaf43( X, Y ) ) ] )
% 4.08/4.47 , clause( 28912, [ ssList( skaf42( X, Y ) ) ] )
% 4.08/4.47 , clause( 28913, [ ~( =( skac3, skac2 ) ) ] )
% 4.08/4.47 , clause( 28914, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 4.08/4.47 , clause( 28915, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 4.08/4.47 , clause( 28916, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.08/4.47 , clause( 28917, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 4.08/4.47 , clause( 28918, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 4.08/4.47 , clause( 28919, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 4.08/4.47 , clause( 28920, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 4.08/4.47 , clause( 28921, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 4.08/4.47 , clause( 28922, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 4.08/4.47 , clause( 28923, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 4.08/4.47 , clause( 28924, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 4.08/4.47 , clause( 28925, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 4.08/4.47 , clause( 28926, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 4.08/4.47 , clause( 28927, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 4.08/4.47 , clause( 28928, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 4.08/4.47 , clause( 28929, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 4.08/4.47 , clause( 28930, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 4.08/4.47 , clause( 28931, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 4.08/4.47 , clause( 28932, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.08/4.47 , clause( 28933, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.08/4.47 , clause( 28934, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.08/4.47 , clause( 28935, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.08/4.47 , clause( 28936, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.08/4.47 , clause( 28937, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.08/4.47 , clause( 28938, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 4.08/4.47 )
% 4.08/4.47 , clause( 28939, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.08/4.47 )
% 4.08/4.47 , clause( 28940, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 4.08/4.47 )
% 4.08/4.47 , clause( 28941, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.08/4.47 )
% 4.08/4.47 , clause( 28942, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 4.08/4.47 ] )
% 4.08/4.47 , clause( 28943, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 4.08/4.47 ] )
% 4.08/4.47 , clause( 28944, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 4.08/4.47 ) ] )
% 4.08/4.47 , clause( 28945, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 4.08/4.47 ) ] )
% 4.08/4.47 , clause( 28946, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 4.08/4.47 skaf49( X ) ) ] )
% 4.08/4.47 , clause( 28947, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 4.08/4.47 skaf50( X ) ) ] )
% 4.08/4.47 , clause( 28948, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 4.08/4.47 equalelemsP( X ) ] )
% 4.08/4.47 , clause( 28949, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 4.08/4.47 strictorderedP( X ) ] )
% 4.08/4.47 , clause( 28950, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 4.08/4.47 totalorderedP( X ) ] )
% 4.08/4.47 , clause( 28951, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 4.08/4.47 strictorderP( X ) ] )
% 4.08/4.47 , clause( 28952, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 4.08/4.47 strictorderP( X ) ] )
% 4.08/4.47 , clause( 28953, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 4.08/4.47 totalorderP( X ) ] )
% 4.08/4.47 , clause( 28954, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 4.08/4.47 totalorderP( X ) ] )
% 4.08/4.47 , clause( 28955, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 4.08/4.47 ), Y ) ] )
% 4.08/4.47 , clause( 28956, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 4.08/4.47 ), X ) ] )
% 4.08/4.47 , clause( 28957, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 4.08/4.47 Y ) ) ] )
% 4.08/4.47 , clause( 28958, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.08/4.47 Y ) ) ] )
% 4.08/4.47 , clause( 28959, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 4.08/4.47 ) ] )
% 4.08/4.47 , clause( 28960, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 4.08/4.47 X ), nil ), X ) ] )
% 4.08/4.47 , clause( 28961, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 4.08/4.47 ) ] )
% 4.08/4.47 , clause( 28962, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 4.08/4.47 X, Y ) ] )
% 4.08/4.47 , clause( 28963, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 4.08/4.47 nil, X ) ] )
% 4.08/4.47 , clause( 28964, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.08/4.47 Y, X ) ] )
% 4.08/4.47 , clause( 28965, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 4.08/4.47 Y, X ) ] )
% 4.08/4.47 , clause( 28966, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 4.08/4.47 leq( Y, X ) ] )
% 4.08/4.47 , clause( 28967, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 4.08/4.47 geq( Y, X ) ] )
% 4.08/4.47 , clause( 28968, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 4.08/4.47 ), =( nil, X ) ] )
% 4.08/4.47 , clause( 28969, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.08/4.47 ssItem( Y ) ) ] )
% 4.08/4.47 , clause( 28970, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.08/4.47 ssItem( X ) ) ] )
% 4.08/4.47 , clause( 28971, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.08/4.47 strictorderedP( cons( Y, X ) ) ] )
% 4.08/4.47 , clause( 28972, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.08/4.47 totalorderedP( cons( Y, X ) ) ] )
% 4.08/4.47 , clause( 28973, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.08/4.47 ssItem( Y ) ) ] )
% 4.08/4.47 , clause( 28974, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 4.08/4.47 ssList( X ) ) ] )
% 4.08/4.47 , clause( 28975, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.08/4.47 Y ) ), singletonP( Y ) ] )
% 4.08/4.47 , clause( 28976, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.08/4.47 ssItem( X ) ) ] )
% 4.08/4.47 , clause( 28977, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.08/4.47 X ) ), =( nil, X ) ] )
% 4.08/4.47 , clause( 28978, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.08/4.47 X ) ), =( nil, Y ) ] )
% 4.08/4.47 , clause( 28979, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 4.08/4.47 ), Y ), cons( X, Y ) ) ] )
% 4.08/4.47 , clause( 28980, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.08/4.47 X, Y ), =( X, Y ) ] )
% 4.08/4.47 , clause( 28981, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.08/4.47 X, Y ), =( X, Y ) ] )
% 4.08/4.47 , clause( 28982, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 4.08/4.47 app( Y, X ) ), hd( Y ) ) ] )
% 4.08/4.47 , clause( 28983, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.08/4.47 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 4.08/4.47 , clause( 28984, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.08/4.47 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 4.08/4.47 , clause( 28985, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 4.08/4.47 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.08/4.47 , clause( 28986, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 4.08/4.47 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.08/4.47 , clause( 28987, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 4.08/4.47 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.08/4.47 , clause( 28988, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 4.08/4.47 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.08/4.47 , clause( 28989, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 4.08/4.47 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.08/4.47 , clause( 28990, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.08/4.47 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 4.08/4.47 , clause( 28991, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.08/4.47 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 4.08/4.47 , clause( 28992, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 4.08/4.47 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 4.08/4.47 , clause( 28993, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.08/4.47 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 4.08/4.47 , clause( 28994, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.08/4.47 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 4.08/4.47 , clause( 28995, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.08/4.47 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 4.08/4.47 , clause( 28996, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.08/4.47 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 4.08/4.47 , clause( 28997, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 4.08/4.47 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 4.08/4.47 , clause( 28998, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 4.08/4.47 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 4.08/4.47 , clause( 28999, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 4.08/4.47 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 4.08/4.47 , clause( 29000, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 4.08/4.47 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 4.08/4.47 , clause( 29001, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 4.08/4.47 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 4.08/4.47 , clause( 29002, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 4.08/4.47 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 4.08/4.47 , clause( 29003, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.08/4.47 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 4.08/4.47 , clause( 29004, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 4.08/4.47 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.08/4.47 , clause( 29005, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.08/4.47 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 4.08/4.47 , clause( 29006, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.08/4.47 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.08/4.47 , clause( 29007, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.08/4.47 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 4.08/4.47 , clause( 29008, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.08/4.47 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 4.08/4.47 , clause( 29009, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 4.08/4.47 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.08/4.47 , clause( 29010, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 4.08/4.47 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 4.08/4.47 , clause( 29011, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 4.08/4.47 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 4.08/4.47 , clause( 29012, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 4.11/4.47 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 4.11/4.47 , clause( 29013, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 4.11/4.47 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 4.11/4.47 , clause( 29014, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.11/4.47 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.11/4.47 , clause( 29015, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.11/4.47 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 4.11/4.47 , clause( 29016, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.11/4.47 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 4.11/4.47 , clause( 29017, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.11/4.47 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 4.11/4.47 , clause( 29018, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 4.11/4.47 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 4.11/4.47 ) ] )
% 4.11/4.47 , clause( 29019, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 4.11/4.47 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 4.11/4.47 Y ) ] )
% 4.11/4.47 , clause( 29020, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.11/4.47 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 4.11/4.47 , clause( 29021, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 4.11/4.47 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 4.11/4.47 skaf77( X ) ) ), X ) ] )
% 4.11/4.47 , clause( 29022, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 4.11/4.47 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 4.11/4.47 skaf73( X ) ) ), X ) ] )
% 4.11/4.47 , clause( 29023, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 4.11/4.47 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 4.11/4.47 skaf68( X ) ) ), X ) ] )
% 4.11/4.47 , clause( 29024, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 4.11/4.47 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 4.11/4.47 ), X ) ] )
% 4.11/4.47 , clause( 29025, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 4.11/4.47 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 4.11/4.47 ), X ) ] )
% 4.11/4.47 , clause( 29026, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 4.11/4.47 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 4.11/4.47 ), X ) ] )
% 4.11/4.47 , clause( 29027, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.11/4.47 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 4.11/4.47 , clause( 29028, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 4.11/4.47 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 4.11/4.47 , clause( 29029, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.11/4.47 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 4.11/4.47 , clause( 29030, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.11/4.47 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 4.11/4.47 , clause( 29031, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 4.11/4.47 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 4.11/4.47 Y ) ] )
% 4.11/4.47 , clause( 29032, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 4.11/4.47 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 4.11/4.47 )
% 4.11/4.47 , clause( 29033, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.11/4.47 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 4.11/4.47 , T ) ] )
% 4.11/4.47 , clause( 29034, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 4.11/4.47 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 4.11/4.47 )
% 4.11/4.47 , clause( 29035, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.11/4.47 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 4.11/4.47 )
% 4.11/4.47 , clause( 29036, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 4.11/4.47 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 4.11/4.47 )
% 4.11/4.47 , clause( 29037, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 4.11/4.47 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 4.11/4.47 Z, X ), cons( T, Y ) ) ] )
% 4.11/4.47 , clause( 29038, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 4.11/4.47 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 4.11/4.47 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 4.11/4.47 , clause( 29039, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 4.11/4.47 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 4.11/4.47 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 4.11/4.47 , clause( 29040, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.11/4.47 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.11/4.47 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 4.11/4.47 ) ] )
% 4.11/4.47 , clause( 29041, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.11/4.47 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.11/4.47 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 4.11/4.47 ) ] )
% 4.11/4.47 , clause( 29042, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.11/4.47 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.11/4.47 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 4.11/4.47 , lt( T, Y ) ] )
% 4.11/4.47 , clause( 29043, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.11/4.50 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.11/4.50 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 4.11/4.50 , leq( T, Y ) ] )
% 4.11/4.50 , clause( 29044, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 4.11/4.50 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 4.11/4.50 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 4.11/4.50 ) ), ~( ssList( W ) ) ] )
% 4.11/4.50 , clause( 29045, [ ssList( sk1 ) ] )
% 4.11/4.50 , clause( 29046, [ ssList( sk2 ) ] )
% 4.11/4.50 , clause( 29047, [ ssList( sk3 ) ] )
% 4.11/4.50 , clause( 29048, [ ssList( sk4 ) ] )
% 4.11/4.50 , clause( 29049, [ =( sk2, sk4 ) ] )
% 4.11/4.50 , clause( 29050, [ =( sk1, sk3 ) ] )
% 4.11/4.50 , clause( 29051, [ neq( sk2, nil ), neq( sk2, nil ) ] )
% 4.11/4.50 , clause( 29052, [ neq( sk2, nil ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.50 , clause( 29053, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.11/4.50 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1
% 4.11/4.50 ) ), neq( sk2, nil ) ] )
% 4.11/4.50 , clause( 29054, [ ssItem( sk5 ), neq( sk2, nil ) ] )
% 4.11/4.50 , clause( 29055, [ ssList( sk6 ), neq( sk2, nil ) ] )
% 4.11/4.50 , clause( 29056, [ ssList( sk7 ), neq( sk2, nil ) ] )
% 4.11/4.50 , clause( 29057, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), neq(
% 4.11/4.50 sk2, nil ) ] )
% 4.11/4.50 , clause( 29058, [ =( app( sk6, sk7 ), sk3 ), neq( sk2, nil ) ] )
% 4.11/4.50 , clause( 29059, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.11/4.50 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1
% 4.11/4.50 ) ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.50 , clause( 29060, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.50 , clause( 29061, [ ssList( sk6 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.50 , clause( 29062, [ ssList( sk7 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.50 , clause( 29063, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ), ~(
% 4.11/4.50 neq( sk4, nil ) ) ] )
% 4.11/4.50 , clause( 29064, [ =( app( sk6, sk7 ), sk3 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.50 ] ).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 eqswap(
% 4.11/4.50 clause( 29822, [ =( sk4, sk2 ) ] )
% 4.11/4.50 , clause( 29049, [ =( sk2, sk4 ) ] )
% 4.11/4.50 , 0, substitution( 0, [] )).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 subsumption(
% 4.11/4.50 clause( 186, [ =( sk4, sk2 ) ] )
% 4.11/4.50 , clause( 29822, [ =( sk4, sk2 ) ] )
% 4.11/4.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 eqswap(
% 4.11/4.50 clause( 30581, [ =( sk3, sk1 ) ] )
% 4.11/4.50 , clause( 29050, [ =( sk1, sk3 ) ] )
% 4.11/4.50 , 0, substitution( 0, [] )).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 subsumption(
% 4.11/4.50 clause( 187, [ =( sk3, sk1 ) ] )
% 4.11/4.50 , clause( 30581, [ =( sk3, sk1 ) ] )
% 4.11/4.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 factor(
% 4.11/4.50 clause( 31347, [ neq( sk2, nil ) ] )
% 4.11/4.50 , clause( 29051, [ neq( sk2, nil ), neq( sk2, nil ) ] )
% 4.11/4.50 , 0, 1, substitution( 0, [] )).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 subsumption(
% 4.11/4.50 clause( 188, [ neq( sk2, nil ) ] )
% 4.11/4.50 , clause( 31347, [ neq( sk2, nil ) ] )
% 4.11/4.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 paramod(
% 4.11/4.50 clause( 32342, [ ~( neq( sk2, nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 4.11/4.50 ~( ssList( Z ) ), ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~(
% 4.11/4.50 =( app( Y, Z ), sk1 ) ) ] )
% 4.11/4.50 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.11/4.50 , 0, clause( 29059, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) )
% 4.11/4.50 , ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ),
% 4.11/4.50 sk1 ) ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.50 , 5, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 4.11/4.50 :=( Z, Z )] )).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 resolution(
% 4.11/4.50 clause( 32348, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~(
% 4.11/4.50 =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 )
% 4.11/4.50 ) ] )
% 4.11/4.50 , clause( 32342, [ ~( neq( sk2, nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) )
% 4.11/4.50 , ~( ssList( Z ) ), ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ),
% 4.11/4.50 ~( =( app( Y, Z ), sk1 ) ) ] )
% 4.11/4.50 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.11/4.50 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.11/4.50 substitution( 1, [] )).
% 4.11/4.50
% 4.11/4.50
% 4.11/4.50 subsumption(
% 4.11/4.50 clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 4.11/4.50 app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 ) ) ]
% 4.11/4.50 )
% 4.11/4.50 , clause( 32348, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.11/4.50 ~( =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1
% 4.11/4.50 ) ) ] )
% 4.11/4.50 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.11/4.50 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.11/4.50 ==>( 4, 4 )] ) ).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 paramod(
% 4.11/4.52 clause( 33422, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 4.11/4.52 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.11/4.52 , 0, clause( 29060, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.52 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 33423, [ ssItem( sk5 ) ] )
% 4.11/4.52 , clause( 33422, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 4.11/4.52 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.11/4.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 subsumption(
% 4.11/4.52 clause( 190, [ ssItem( sk5 ) ] )
% 4.11/4.52 , clause( 33423, [ ssItem( sk5 ) ] )
% 4.11/4.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 paramod(
% 4.11/4.52 clause( 34493, [ ~( neq( sk2, nil ) ), ssList( sk6 ) ] )
% 4.11/4.52 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.11/4.52 , 0, clause( 29061, [ ssList( sk6 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.52 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 34494, [ ssList( sk6 ) ] )
% 4.11/4.52 , clause( 34493, [ ~( neq( sk2, nil ) ), ssList( sk6 ) ] )
% 4.11/4.52 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.11/4.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 subsumption(
% 4.11/4.52 clause( 191, [ ssList( sk6 ) ] )
% 4.11/4.52 , clause( 34494, [ ssList( sk6 ) ] )
% 4.11/4.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 paramod(
% 4.11/4.52 clause( 35567, [ ~( neq( sk2, nil ) ), ssList( sk7 ) ] )
% 4.11/4.52 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.11/4.52 , 0, clause( 29062, [ ssList( sk7 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.52 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 35568, [ ssList( sk7 ) ] )
% 4.11/4.52 , clause( 35567, [ ~( neq( sk2, nil ) ), ssList( sk7 ) ] )
% 4.11/4.52 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.11/4.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 subsumption(
% 4.11/4.52 clause( 192, [ ssList( sk7 ) ] )
% 4.11/4.52 , clause( 35568, [ ssList( sk7 ) ] )
% 4.11/4.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 paramod(
% 4.11/4.52 clause( 36782, [ ~( neq( sk2, nil ) ), =( app( app( sk6, cons( sk5, nil ) )
% 4.11/4.52 , sk7 ), sk4 ) ] )
% 4.11/4.52 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.11/4.52 , 0, clause( 29063, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk4 ),
% 4.11/4.52 ~( neq( sk4, nil ) ) ] )
% 4.11/4.52 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 paramod(
% 4.11/4.52 clause( 36784, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ), ~( neq(
% 4.11/4.52 sk2, nil ) ) ] )
% 4.11/4.52 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.11/4.52 , 0, clause( 36782, [ ~( neq( sk2, nil ) ), =( app( app( sk6, cons( sk5,
% 4.11/4.52 nil ) ), sk7 ), sk4 ) ] )
% 4.11/4.52 , 1, 8, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 36785, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.11/4.52 , clause( 36784, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ), ~(
% 4.11/4.52 neq( sk2, nil ) ) ] )
% 4.11/4.52 , 1, clause( 188, [ neq( sk2, nil ) ] )
% 4.11/4.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 subsumption(
% 4.11/4.52 clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.11/4.52 , clause( 36785, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.11/4.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 paramod(
% 4.11/4.52 clause( 37986, [ =( app( sk6, sk7 ), sk1 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.52 , clause( 187, [ =( sk3, sk1 ) ] )
% 4.11/4.52 , 0, clause( 29064, [ =( app( sk6, sk7 ), sk3 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.52 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 paramod(
% 4.11/4.52 clause( 37987, [ ~( neq( sk2, nil ) ), =( app( sk6, sk7 ), sk1 ) ] )
% 4.11/4.52 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.11/4.52 , 0, clause( 37986, [ =( app( sk6, sk7 ), sk1 ), ~( neq( sk4, nil ) ) ] )
% 4.11/4.52 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 37988, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.11/4.52 , clause( 37987, [ ~( neq( sk2, nil ) ), =( app( sk6, sk7 ), sk1 ) ] )
% 4.11/4.52 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 4.11/4.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 subsumption(
% 4.11/4.52 clause( 194, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.11/4.52 , clause( 37988, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.11/4.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 eqswap(
% 4.11/4.52 clause( 37990, [ =( sk2, app( app( sk6, cons( sk5, nil ) ), sk7 ) ) ] )
% 4.11/4.52 , clause( 193, [ =( app( app( sk6, cons( sk5, nil ) ), sk7 ), sk2 ) ] )
% 4.11/4.52 , 0, substitution( 0, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 eqswap(
% 4.11/4.52 clause( 37991, [ ~( =( sk2, app( app( X, cons( Y, nil ) ), Z ) ) ), ~(
% 4.11/4.52 ssItem( Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( =( app( X, Z ), sk1
% 4.11/4.52 ) ) ] )
% 4.11/4.52 , clause( 189, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~(
% 4.11/4.52 =( app( app( Y, cons( X, nil ) ), Z ), sk2 ) ), ~( =( app( Y, Z ), sk1 )
% 4.11/4.52 ) ] )
% 4.11/4.52 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 37995, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 ) )
% 4.11/4.52 , ~( =( app( sk6, sk7 ), sk1 ) ) ] )
% 4.11/4.52 , clause( 37991, [ ~( =( sk2, app( app( X, cons( Y, nil ) ), Z ) ) ), ~(
% 4.11/4.52 ssItem( Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( =( app( X, Z ), sk1
% 4.11/4.52 ) ) ] )
% 4.11/4.52 , 0, clause( 37990, [ =( sk2, app( app( sk6, cons( sk5, nil ) ), sk7 ) ) ]
% 4.11/4.52 )
% 4.11/4.52 , 0, substitution( 0, [ :=( X, sk6 ), :=( Y, sk5 ), :=( Z, sk7 )] ),
% 4.11/4.52 substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 paramod(
% 4.11/4.52 clause( 37996, [ ~( =( sk1, sk1 ) ), ~( ssItem( sk5 ) ), ~( ssList( sk6 ) )
% 4.11/4.52 , ~( ssList( sk7 ) ) ] )
% 4.11/4.52 , clause( 194, [ =( app( sk6, sk7 ), sk1 ) ] )
% 4.11/4.52 , 0, clause( 37995, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList(
% 4.11/4.52 sk7 ) ), ~( =( app( sk6, sk7 ), sk1 ) ) ] )
% 4.11/4.52 , 3, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 eqrefl(
% 4.11/4.52 clause( 37997, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 ) )
% 4.11/4.52 ] )
% 4.11/4.52 , clause( 37996, [ ~( =( sk1, sk1 ) ), ~( ssItem( sk5 ) ), ~( ssList( sk6 )
% 4.11/4.52 ), ~( ssList( sk7 ) ) ] )
% 4.11/4.52 , 0, substitution( 0, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 37998, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.11/4.52 , clause( 37997, [ ~( ssItem( sk5 ) ), ~( ssList( sk6 ) ), ~( ssList( sk7 )
% 4.11/4.52 ) ] )
% 4.11/4.52 , 0, clause( 190, [ ssItem( sk5 ) ] )
% 4.11/4.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 subsumption(
% 4.11/4.52 clause( 28830, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.11/4.52 , clause( 37998, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.11/4.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.11/4.52 ).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 37999, [ ~( ssList( sk7 ) ) ] )
% 4.11/4.52 , clause( 28830, [ ~( ssList( sk6 ) ), ~( ssList( sk7 ) ) ] )
% 4.11/4.52 , 0, clause( 191, [ ssList( sk6 ) ] )
% 4.11/4.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 resolution(
% 4.11/4.52 clause( 38000, [] )
% 4.11/4.52 , clause( 37999, [ ~( ssList( sk7 ) ) ] )
% 4.11/4.52 , 0, clause( 192, [ ssList( sk7 ) ] )
% 4.11/4.52 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 subsumption(
% 4.11/4.52 clause( 28858, [] )
% 4.11/4.52 , clause( 38000, [] )
% 4.11/4.52 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 end.
% 4.11/4.52
% 4.11/4.52 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.11/4.52
% 4.11/4.52 Memory use:
% 4.11/4.52
% 4.11/4.52 space for terms: 580348
% 4.11/4.52 space for clauses: 1373658
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 clauses generated: 136203
% 4.11/4.52 clauses kept: 28859
% 4.11/4.52 clauses selected: 699
% 4.11/4.52 clauses deleted: 1063
% 4.11/4.52 clauses inuse deleted: 14
% 4.11/4.52
% 4.11/4.52 subsentry: 334769
% 4.11/4.52 literals s-matched: 182806
% 4.11/4.52 literals matched: 118422
% 4.11/4.52 full subsumption: 72396
% 4.11/4.52
% 4.11/4.52 checksum: 806585968
% 4.11/4.52
% 4.11/4.52
% 4.11/4.52 Bliksem ended
%------------------------------------------------------------------------------