TSTP Solution File: SWC259-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC259-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:35:16 EDT 2022
% Result : Unsatisfiable 2.97s 3.35s
% Output : Refutation 2.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC259-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.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 01:45:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ equalelemsP( nil ) ],
% 0.72/1.12 [ duplicatefreeP( nil ) ],
% 0.72/1.12 [ strictorderedP( nil ) ],
% 0.72/1.12 [ totalorderedP( nil ) ],
% 0.72/1.12 [ strictorderP( nil ) ],
% 0.72/1.12 [ totalorderP( nil ) ],
% 0.72/1.12 [ cyclefreeP( nil ) ],
% 0.72/1.12 [ ssList( nil ) ],
% 0.72/1.12 [ ssItem( skac3 ) ],
% 0.72/1.12 [ ssItem( skac2 ) ],
% 0.72/1.12 [ ~( singletonP( nil ) ) ],
% 0.72/1.12 [ ssItem( skaf83( X ) ) ],
% 0.72/1.12 [ ssList( skaf82( X ) ) ],
% 0.72/1.12 [ ssList( skaf81( X ) ) ],
% 0.72/1.12 [ ssList( skaf80( X ) ) ],
% 0.72/1.12 [ ssItem( skaf79( X ) ) ],
% 0.72/1.12 [ ssItem( skaf78( X ) ) ],
% 0.72/1.12 [ ssList( skaf77( X ) ) ],
% 0.72/1.12 [ ssList( skaf76( X ) ) ],
% 0.72/1.12 [ ssList( skaf75( X ) ) ],
% 0.72/1.12 [ ssItem( skaf74( X ) ) ],
% 0.72/1.12 [ ssList( skaf73( X ) ) ],
% 0.72/1.12 [ ssList( skaf72( X ) ) ],
% 0.72/1.12 [ ssList( skaf71( X ) ) ],
% 0.72/1.12 [ ssItem( skaf70( X ) ) ],
% 0.72/1.12 [ ssItem( skaf69( X ) ) ],
% 0.72/1.12 [ ssList( skaf68( X ) ) ],
% 0.72/1.12 [ ssList( skaf67( X ) ) ],
% 0.72/1.12 [ ssList( skaf66( X ) ) ],
% 0.72/1.12 [ ssItem( skaf65( X ) ) ],
% 0.72/1.12 [ ssItem( skaf64( X ) ) ],
% 0.72/1.12 [ ssList( skaf63( X ) ) ],
% 0.72/1.12 [ ssList( skaf62( X ) ) ],
% 0.72/1.12 [ ssList( skaf61( X ) ) ],
% 0.72/1.12 [ ssItem( skaf60( X ) ) ],
% 0.72/1.12 [ ssItem( skaf59( X ) ) ],
% 0.72/1.12 [ ssList( skaf58( X ) ) ],
% 0.72/1.12 [ ssList( skaf57( X ) ) ],
% 0.72/1.12 [ ssList( skaf56( X ) ) ],
% 0.72/1.12 [ ssItem( skaf55( X ) ) ],
% 0.72/1.12 [ ssItem( skaf54( X ) ) ],
% 0.72/1.12 [ ssList( skaf53( X ) ) ],
% 0.72/1.12 [ ssList( skaf52( X ) ) ],
% 0.72/1.12 [ ssList( skaf51( X ) ) ],
% 0.72/1.12 [ ssItem( skaf50( X ) ) ],
% 0.72/1.12 [ ssItem( skaf49( X ) ) ],
% 0.72/1.12 [ ssItem( skaf44( X ) ) ],
% 0.72/1.12 [ ssList( skaf48( X, Y ) ) ],
% 0.72/1.12 [ ssList( skaf47( X, Y ) ) ],
% 0.72/1.12 [ ssList( skaf46( X, Y ) ) ],
% 0.72/1.12 [ ssList( skaf45( X, Y ) ) ],
% 0.72/1.12 [ ssList( skaf43( X, Y ) ) ],
% 0.72/1.12 [ ssList( skaf42( X, Y ) ) ],
% 0.72/1.12 [ ~( =( skac3, skac2 ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.72/1.12 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.72/1.12 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.72/1.12 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.72/1.12 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.72/1.12 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.12 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.72/1.12 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.72/1.12 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.72/1.12 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.72/1.12 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.72/1.12 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.72/1.12 ],
% 0.72/1.12 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.72/1.12 X ) ],
% 0.72/1.12 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.72/1.12 X ) ],
% 0.72/1.12 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.72/1.12 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.12 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.12 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.12 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.72/1.12 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.72/1.12 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.72/1.12 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.72/1.12 cons( Y, X ) ) ],
% 0.72/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.72/1.12 cons( Y, X ) ) ],
% 0.72/1.12 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.72/1.12 singletonP( Y ) ],
% 0.72/1.12 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.12 , X ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.72/1.12 X, Y ) ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.72/1.12 , hd( Y ) ) ],
% 0.72/1.12 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.12 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.72/1.12 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.12 , totalorderedP( Y ), =( nil, Y ) ],
% 0.72/1.12 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.12 , =( Y, X ) ],
% 0.72/1.12 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.12 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.12 , =( Y, X ) ],
% 0.72/1.12 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.72/1.12 skaf46( X, Y ), Y ), X ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.72/1.12 , skaf45( X, Y ) ), X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.72/1.12 , app( tl( Y ), X ) ) ],
% 0.72/1.12 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.12 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.12 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.12 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.12 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.72/1.12 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.72/1.12 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.72/1.12 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.72/1.12 memberP( cons( Y, Z ), X ) ],
% 0.72/1.12 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.72/1.12 ) ), memberP( cons( Z, X ), Y ) ],
% 0.72/1.12 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.72/1.12 ) ), memberP( app( X, Z ), Y ) ],
% 0.72/1.12 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.72/1.12 ) ), memberP( app( Z, X ), Y ) ],
% 0.72/1.12 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.72/1.12 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.72/1.12 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.72/1.12 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.72/1.12 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.12 , =( app( X, Y ), nil ) ],
% 0.72/1.12 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.72/1.12 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.12 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.72/1.12 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.12 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.72/1.12 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.72/1.12 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.12 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.72/1.12 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.12 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.12 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.72/1.12 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.72/1.12 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.72/1.12 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.72/1.12 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.72/1.12 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.72/1.12 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.72/1.12 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.12 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.72/1.12 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.12 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.72/1.12 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.72/1.12 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.72/1.12 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.72/1.12 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.72/1.12 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.72/1.12 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.72/1.12 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.72/1.12 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.72/1.12 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.72/1.12 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.72/1.12 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.12 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.72/1.12 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.12 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.72/1.12 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.72/1.12 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.72/1.12 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.72/1.12 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.72/1.12 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.72/1.12 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.72/1.12 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.72/1.12 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.72/1.12 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.72/1.12 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.72/1.12 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.72/1.12 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.72/1.12 T, Y ) ) ],
% 0.72/1.12 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.72/1.12 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.72/1.12 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.72/1.12 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.72/1.12 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.72/1.12 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.72/1.12 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.12 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.12 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.72/1.12 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.12 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.12 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.72/1.12 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.12 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.12 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.72/1.12 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.72/1.12 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.72/1.12 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.72/1.12 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.72/1.12 W ) ) ],
% 0.72/1.12 [ ssList( sk1 ) ],
% 0.72/1.12 [ ssList( sk2 ) ],
% 0.72/1.12 [ ssList( sk3 ) ],
% 0.72/1.12 [ ssList( sk4 ) ],
% 0.72/1.12 [ =( sk2, sk4 ) ],
% 0.72/1.12 [ =( sk1, sk3 ) ],
% 0.72/1.12 [ ~( totalorderedP( sk1 ) ) ],
% 0.72/1.12 [ ssItem( sk5 ), =( nil, sk4 ) ],
% 0.72/1.12 [ ssItem( sk5 ), =( nil, sk3 ) ],
% 0.72/1.12 [ ssList( sk6 ), =( nil, sk4 ) ],
% 0.72/1.12 [ ssList( sk7 ), =( nil, sk4 ) ],
% 0.72/1.12 [ =( cons( sk5, nil ), sk3 ), =( nil, sk4 ) ],
% 0.72/1.12 [ =( app( app( sk6, sk3 ), sk7 ), sk4 ), =( nil, sk4 ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( memberP( sk6, X ) ), ~( lt( sk5, X ) ), =( nil,
% 0.72/1.12 sk4 ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( memberP( sk7, X ) ), ~( lt( X, sk5 ) ), =( nil,
% 0.72/1.12 sk4 ) ],
% 0.72/1.12 [ ssList( sk6 ), =( nil, sk3 ) ],
% 0.72/1.12 [ ssList( sk7 ), =( nil, sk3 ) ],
% 0.72/1.12 [ =( cons( sk5, nil ), sk3 ), =( nil, sk3 ) ],
% 0.72/1.12 [ =( app( app( sk6, sk3 ), sk7 ), sk4 ), =( nil, sk3 ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( memberP( sk6, X ) ), ~( lt( sk5, X ) ), =( nil,
% 0.72/1.12 sk3 ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( memberP( sk7, X ) ), ~( lt( X, sk5 ) ), =( nil,
% 0.72/1.12 sk3 ) ]
% 0.72/1.12 ] .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 percentage equality = 0.180818, percentage horn = 0.802956
% 0.72/1.12 This is a problem with some equality
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 2.97/3.35 demodaposteriori = 0
% 2.97/3.35 ordereqreflfact = 0
% 2.97/3.35
% 2.97/3.35 litselect = negord
% 2.97/3.35
% 2.97/3.35 maxweight = 15
% 2.97/3.35 maxdepth = 30000
% 2.97/3.35 maxlength = 115
% 2.97/3.35 maxnrvars = 195
% 2.97/3.35 excuselevel = 1
% 2.97/3.35 increasemaxweight = 1
% 2.97/3.35
% 2.97/3.35 maxselected = 10000000
% 2.97/3.35 maxnrclauses = 10000000
% 2.97/3.35
% 2.97/3.35 showgenerated = 0
% 2.97/3.35 showkept = 0
% 2.97/3.35 showselected = 0
% 2.97/3.35 showdeleted = 0
% 2.97/3.35 showresimp = 1
% 2.97/3.35 showstatus = 2000
% 2.97/3.35
% 2.97/3.35 prologoutput = 1
% 2.97/3.35 nrgoals = 5000000
% 2.97/3.35 totalproof = 1
% 2.97/3.35
% 2.97/3.35 Symbols occurring in the translation:
% 2.97/3.35
% 2.97/3.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.97/3.35 . [1, 2] (w:1, o:79, a:1, s:1, b:0),
% 2.97/3.35 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 2.97/3.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.97/3.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.97/3.35 nil [39, 0] (w:1, o:18, a:1, s:1, b:0),
% 2.97/3.35 equalelemsP [40, 1] (w:1, o:33, a:1, s:1, b:0),
% 2.97/3.35 duplicatefreeP [41, 1] (w:1, o:32, a:1, s:1, b:0),
% 2.97/3.35 strictorderedP [42, 1] (w:1, o:36, a:1, s:1, b:0),
% 2.97/3.35 totalorderedP [43, 1] (w:1, o:75, a:1, s:1, b:0),
% 2.97/3.35 strictorderP [44, 1] (w:1, o:37, a:1, s:1, b:0),
% 2.97/3.35 totalorderP [45, 1] (w:1, o:76, a:1, s:1, b:0),
% 2.97/3.35 cyclefreeP [46, 1] (w:1, o:31, a:1, s:1, b:0),
% 2.97/3.35 ssList [47, 1] (w:1, o:34, a:1, s:1, b:0),
% 2.97/3.35 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.97/3.35 ssItem [49, 1] (w:1, o:35, a:1, s:1, b:0),
% 2.97/3.35 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.97/3.35 singletonP [51, 1] (w:1, o:38, a:1, s:1, b:0),
% 2.97/3.35 skaf83 [53, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.97/3.35 skaf82 [54, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.97/3.35 skaf81 [55, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.97/3.35 skaf80 [56, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.97/3.35 skaf79 [57, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.97/3.35 skaf78 [58, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.97/3.35 skaf77 [59, 1] (w:1, o:68, a:1, s:1, b:0),
% 2.97/3.35 skaf76 [60, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.97/3.35 skaf75 [61, 1] (w:1, o:66, a:1, s:1, b:0),
% 2.97/3.35 skaf74 [62, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.97/3.35 skaf73 [63, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.97/3.35 skaf72 [64, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.97/3.35 skaf71 [65, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.97/3.35 skaf70 [66, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.97/3.35 skaf69 [67, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.97/3.35 skaf68 [68, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.97/3.35 skaf67 [69, 1] (w:1, o:58, a:1, s:1, b:0),
% 2.97/3.35 skaf66 [70, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.97/3.35 skaf65 [71, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.97/3.35 skaf64 [72, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.97/3.35 skaf63 [73, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.97/3.35 skaf62 [74, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.97/3.35 skaf61 [75, 1] (w:1, o:52, a:1, s:1, b:0),
% 2.97/3.35 skaf60 [76, 1] (w:1, o:51, a:1, s:1, b:0),
% 2.97/3.35 skaf59 [77, 1] (w:1, o:50, a:1, s:1, b:0),
% 2.97/3.35 skaf58 [78, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.97/3.35 skaf57 [79, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.97/3.35 skaf56 [80, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.97/3.35 skaf55 [81, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.97/3.35 skaf54 [82, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.97/3.35 skaf53 [83, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.97/3.35 skaf52 [84, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.97/3.35 skaf51 [85, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.97/3.35 skaf50 [86, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.97/3.35 skaf49 [87, 1] (w:1, o:39, a:1, s:1, b:0),
% 2.97/3.35 skaf44 [88, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.97/3.35 skaf48 [90, 2] (w:1, o:108, a:1, s:1, b:0),
% 2.97/3.35 skaf47 [91, 2] (w:1, o:107, a:1, s:1, b:0),
% 2.97/3.35 skaf46 [92, 2] (w:1, o:106, a:1, s:1, b:0),
% 2.97/3.35 skaf45 [93, 2] (w:1, o:105, a:1, s:1, b:0),
% 2.97/3.35 skaf43 [94, 2] (w:1, o:110, a:1, s:1, b:0),
% 2.97/3.35 skaf42 [95, 2] (w:1, o:109, a:1, s:1, b:0),
% 2.97/3.35 geq [96, 2] (w:1, o:112, a:1, s:1, b:0),
% 2.97/3.35 segmentP [97, 2] (w:1, o:113, a:1, s:1, b:0),
% 2.97/3.35 rearsegP [98, 2] (w:1, o:104, a:1, s:1, b:0),
% 2.97/3.35 frontsegP [99, 2] (w:1, o:111, a:1, s:1, b:0),
% 2.97/3.35 leq [100, 2] (w:1, o:114, a:1, s:1, b:0),
% 2.97/3.35 lt [101, 2] (w:1, o:115, a:1, s:1, b:0),
% 2.97/3.35 cons [102, 2] (w:1, o:116, a:1, s:1, b:0),
% 2.97/3.35 memberP [103, 2] (w:1, o:117, a:1, s:1, b:0),
% 2.97/3.35 app [104, 2] (w:1, o:118, a:1, s:1, b:0),
% 2.97/3.35 tl [105, 1] (w:1, o:77, a:1, s:1, b:0),
% 2.97/3.35 hd [106, 1] (w:1, o:78, a:1, s:1, b:0),
% 2.97/3.35 neq [107, 2] (w:1, o:119, a:1, s:1, b:0),
% 2.97/3.35 gt [108, 2] (w:1, o:120, a:1, s:1, b:0),
% 2.97/3.35 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.97/3.35 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 2.97/3.35 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.97/3.35 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 2.97/3.35 sk5 [117, 0] (w:1, o:11, a:1, s:1, b:0),
% 2.97/3.35 sk6 [118, 0] (w:1, o:12, a:1, s:1, b:0),
% 2.97/3.35 sk7 [119, 0] (w:1, o:13, a:1, s:1, b:0).
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Starting Search:
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 4046
% 2.97/3.35 Kept: 2001
% 2.97/3.35 Inuse: 203
% 2.97/3.35 Deleted: 2
% 2.97/3.35 Deletedinuse: 0
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 7362
% 2.97/3.35 Kept: 4077
% 2.97/3.35 Inuse: 273
% 2.97/3.35 Deleted: 10
% 2.97/3.35 Deletedinuse: 2
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 11900
% 2.97/3.35 Kept: 6161
% 2.97/3.35 Inuse: 305
% 2.97/3.35 Deleted: 42
% 2.97/3.35 Deletedinuse: 21
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 18915
% 2.97/3.35 Kept: 8809
% 2.97/3.35 Inuse: 360
% 2.97/3.35 Deleted: 48
% 2.97/3.35 Deletedinuse: 22
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 32631
% 2.97/3.35 Kept: 10814
% 2.97/3.35 Inuse: 401
% 2.97/3.35 Deleted: 50
% 2.97/3.35 Deletedinuse: 24
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 41155
% 2.97/3.35 Kept: 12843
% 2.97/3.35 Inuse: 450
% 2.97/3.35 Deleted: 50
% 2.97/3.35 Deletedinuse: 24
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 50085
% 2.97/3.35 Kept: 14853
% 2.97/3.35 Inuse: 500
% 2.97/3.35 Deleted: 51
% 2.97/3.35 Deletedinuse: 25
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 60857
% 2.97/3.35 Kept: 16952
% 2.97/3.35 Inuse: 545
% 2.97/3.35 Deleted: 51
% 2.97/3.35 Deletedinuse: 25
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Intermediate Status:
% 2.97/3.35 Generated: 71538
% 2.97/3.35 Kept: 19042
% 2.97/3.35 Inuse: 573
% 2.97/3.35 Deleted: 55
% 2.97/3.35 Deletedinuse: 27
% 2.97/3.35
% 2.97/3.35 Resimplifying inuse:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35 Resimplifying clauses:
% 2.97/3.35 Done
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 Bliksems!, er is een bewijs:
% 2.97/3.35 % SZS status Unsatisfiable
% 2.97/3.35 % SZS output start Refutation
% 2.97/3.35
% 2.97/3.35 clause( 3, [ totalorderedP( nil ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 7, [ ssList( nil ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 66, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 80, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.97/3.35 ), =( nil, X ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 182, [ ssList( sk1 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 186, [ =( sk4, sk2 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 187, [ =( sk3, sk1 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 188, [ ~( totalorderedP( sk1 ) ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 189, [ ssItem( sk5 ), =( nil, sk2 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 190, [ ssItem( sk5 ), =( sk2, sk1 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 193, [ =( cons( sk5, nil ), sk1 ), =( nil, sk2 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 199, [ =( cons( sk5, nil ), sk1 ), =( sk2, sk1 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 798, [ =( app( nil, nil ), nil ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 1783, [ ~( frontsegP( nil, sk1 ) ), =( nil, sk1 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 4955, [ =( sk2, sk1 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 5001, [ ssItem( sk5 ), =( nil, sk1 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 5427, [ ssItem( sk5 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 5446, [ totalorderedP( cons( sk5, nil ) ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 7344, [ ~( =( app( sk1, X ), nil ) ), ~( ssList( X ) ), ~( ssList(
% 2.97/3.35 sk1 ) ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 7345, [ ~( =( app( sk1, sk1 ), nil ) ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 15807, [ ~( frontsegP( nil, sk1 ) ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 15825, [ ~( =( nil, sk1 ) ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 20186, [ =( cons( sk5, nil ), sk1 ) ] )
% 2.97/3.35 .
% 2.97/3.35 clause( 20497, [] )
% 2.97/3.35 .
% 2.97/3.35
% 2.97/3.35
% 2.97/3.35 % SZS output end Refutation
% 2.97/3.35 found a proof!
% 2.97/3.35
% 2.97/3.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.97/3.35
% 2.97/3.35 initialclauses(
% 2.97/3.35 [ clause( 20499, [ equalelemsP( nil ) ] )
% 2.97/3.35 , clause( 20500, [ duplicatefreeP( nil ) ] )
% 2.97/3.35 , clause( 20501, [ strictorderedP( nil ) ] )
% 2.97/3.35 , clause( 20502, [ totalorderedP( nil ) ] )
% 2.97/3.35 , clause( 20503, [ strictorderP( nil ) ] )
% 2.97/3.35 , clause( 20504, [ totalorderP( nil ) ] )
% 2.97/3.35 , clause( 20505, [ cyclefreeP( nil ) ] )
% 2.97/3.35 , clause( 20506, [ ssList( nil ) ] )
% 2.97/3.35 , clause( 20507, [ ssItem( skac3 ) ] )
% 2.97/3.35 , clause( 20508, [ ssItem( skac2 ) ] )
% 2.97/3.35 , clause( 20509, [ ~( singletonP( nil ) ) ] )
% 2.97/3.35 , clause( 20510, [ ssItem( skaf83( X ) ) ] )
% 2.97/3.35 , clause( 20511, [ ssList( skaf82( X ) ) ] )
% 2.97/3.35 , clause( 20512, [ ssList( skaf81( X ) ) ] )
% 2.97/3.35 , clause( 20513, [ ssList( skaf80( X ) ) ] )
% 2.97/3.35 , clause( 20514, [ ssItem( skaf79( X ) ) ] )
% 2.97/3.35 , clause( 20515, [ ssItem( skaf78( X ) ) ] )
% 2.97/3.35 , clause( 20516, [ ssList( skaf77( X ) ) ] )
% 2.97/3.35 , clause( 20517, [ ssList( skaf76( X ) ) ] )
% 2.97/3.35 , clause( 20518, [ ssList( skaf75( X ) ) ] )
% 2.97/3.35 , clause( 20519, [ ssItem( skaf74( X ) ) ] )
% 2.97/3.35 , clause( 20520, [ ssList( skaf73( X ) ) ] )
% 2.97/3.35 , clause( 20521, [ ssList( skaf72( X ) ) ] )
% 2.97/3.35 , clause( 20522, [ ssList( skaf71( X ) ) ] )
% 2.97/3.35 , clause( 20523, [ ssItem( skaf70( X ) ) ] )
% 2.97/3.35 , clause( 20524, [ ssItem( skaf69( X ) ) ] )
% 2.97/3.35 , clause( 20525, [ ssList( skaf68( X ) ) ] )
% 2.97/3.35 , clause( 20526, [ ssList( skaf67( X ) ) ] )
% 2.97/3.35 , clause( 20527, [ ssList( skaf66( X ) ) ] )
% 2.97/3.35 , clause( 20528, [ ssItem( skaf65( X ) ) ] )
% 2.97/3.35 , clause( 20529, [ ssItem( skaf64( X ) ) ] )
% 2.97/3.35 , clause( 20530, [ ssList( skaf63( X ) ) ] )
% 2.97/3.35 , clause( 20531, [ ssList( skaf62( X ) ) ] )
% 2.97/3.35 , clause( 20532, [ ssList( skaf61( X ) ) ] )
% 2.97/3.35 , clause( 20533, [ ssItem( skaf60( X ) ) ] )
% 2.97/3.35 , clause( 20534, [ ssItem( skaf59( X ) ) ] )
% 2.97/3.35 , clause( 20535, [ ssList( skaf58( X ) ) ] )
% 2.97/3.35 , clause( 20536, [ ssList( skaf57( X ) ) ] )
% 2.97/3.35 , clause( 20537, [ ssList( skaf56( X ) ) ] )
% 2.97/3.35 , clause( 20538, [ ssItem( skaf55( X ) ) ] )
% 2.97/3.35 , clause( 20539, [ ssItem( skaf54( X ) ) ] )
% 2.97/3.35 , clause( 20540, [ ssList( skaf53( X ) ) ] )
% 2.97/3.35 , clause( 20541, [ ssList( skaf52( X ) ) ] )
% 2.97/3.35 , clause( 20542, [ ssList( skaf51( X ) ) ] )
% 2.97/3.35 , clause( 20543, [ ssItem( skaf50( X ) ) ] )
% 2.97/3.35 , clause( 20544, [ ssItem( skaf49( X ) ) ] )
% 2.97/3.35 , clause( 20545, [ ssItem( skaf44( X ) ) ] )
% 2.97/3.35 , clause( 20546, [ ssList( skaf48( X, Y ) ) ] )
% 2.97/3.35 , clause( 20547, [ ssList( skaf47( X, Y ) ) ] )
% 2.97/3.35 , clause( 20548, [ ssList( skaf46( X, Y ) ) ] )
% 2.97/3.35 , clause( 20549, [ ssList( skaf45( X, Y ) ) ] )
% 2.97/3.35 , clause( 20550, [ ssList( skaf43( X, Y ) ) ] )
% 2.97/3.35 , clause( 20551, [ ssList( skaf42( X, Y ) ) ] )
% 2.97/3.35 , clause( 20552, [ ~( =( skac3, skac2 ) ) ] )
% 2.97/3.35 , clause( 20553, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 2.97/3.35 , clause( 20554, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 2.97/3.35 , clause( 20555, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 2.97/3.35 , clause( 20556, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 2.97/3.35 , clause( 20557, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 2.97/3.35 , clause( 20558, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 2.97/3.35 , clause( 20559, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.97/3.35 , clause( 20560, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 2.97/3.35 , clause( 20561, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 2.97/3.35 , clause( 20562, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 2.97/3.35 , clause( 20563, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 2.97/3.35 , clause( 20564, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 2.97/3.35 , clause( 20565, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 2.97/3.35 , clause( 20566, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 2.97/3.35 , clause( 20567, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 2.97/3.35 , clause( 20568, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 2.97/3.35 , clause( 20569, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 2.97/3.35 , clause( 20570, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 2.97/3.35 , clause( 20571, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.97/3.35 , clause( 20572, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 2.97/3.35 , clause( 20573, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.97/3.35 , clause( 20574, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.97/3.35 , clause( 20575, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.97/3.35 , clause( 20576, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.97/3.35 , clause( 20577, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 2.97/3.35 )
% 2.97/3.35 , clause( 20578, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.97/3.35 )
% 2.97/3.35 , clause( 20579, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 2.97/3.35 )
% 2.97/3.35 , clause( 20580, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.97/3.35 )
% 2.97/3.35 , clause( 20581, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 2.97/3.35 ] )
% 2.97/3.35 , clause( 20582, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 2.97/3.35 ] )
% 2.97/3.35 , clause( 20583, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 2.97/3.35 ) ] )
% 2.97/3.35 , clause( 20584, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 2.97/3.35 ) ] )
% 2.97/3.35 , clause( 20585, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 2.97/3.35 skaf49( X ) ) ] )
% 2.97/3.35 , clause( 20586, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 2.97/3.35 skaf50( X ) ) ] )
% 2.97/3.35 , clause( 20587, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 2.97/3.35 equalelemsP( X ) ] )
% 2.97/3.35 , clause( 20588, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 2.97/3.35 strictorderedP( X ) ] )
% 2.97/3.35 , clause( 20589, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 2.97/3.35 totalorderedP( X ) ] )
% 2.97/3.35 , clause( 20590, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 2.97/3.35 strictorderP( X ) ] )
% 2.97/3.35 , clause( 20591, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 2.97/3.35 strictorderP( X ) ] )
% 2.97/3.35 , clause( 20592, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 2.97/3.35 totalorderP( X ) ] )
% 2.97/3.35 , clause( 20593, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 2.97/3.35 totalorderP( X ) ] )
% 2.97/3.35 , clause( 20594, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 2.97/3.35 ), Y ) ] )
% 2.97/3.35 , clause( 20595, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 2.97/3.35 ), X ) ] )
% 2.97/3.35 , clause( 20596, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 2.97/3.35 Y ) ) ] )
% 2.97/3.35 , clause( 20597, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.97/3.35 Y ) ) ] )
% 2.97/3.35 , clause( 20598, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.97/3.35 ) ] )
% 2.97/3.35 , clause( 20599, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 2.97/3.35 X ), nil ), X ) ] )
% 2.97/3.35 , clause( 20600, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 2.97/3.35 ) ] )
% 2.97/3.35 , clause( 20601, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 2.97/3.35 X, Y ) ] )
% 2.97/3.35 , clause( 20602, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 2.97/3.35 nil, X ) ] )
% 2.97/3.35 , clause( 20603, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.97/3.35 Y, X ) ] )
% 2.97/3.35 , clause( 20604, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 2.97/3.35 Y, X ) ] )
% 2.97/3.35 , clause( 20605, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 2.97/3.35 leq( Y, X ) ] )
% 2.97/3.35 , clause( 20606, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 2.97/3.35 geq( Y, X ) ] )
% 2.97/3.35 , clause( 20607, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 2.97/3.35 ), =( nil, X ) ] )
% 2.97/3.35 , clause( 20608, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.97/3.35 ssItem( Y ) ) ] )
% 2.97/3.35 , clause( 20609, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.97/3.35 ssItem( X ) ) ] )
% 2.97/3.35 , clause( 20610, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.97/3.35 strictorderedP( cons( Y, X ) ) ] )
% 2.97/3.35 , clause( 20611, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.97/3.35 totalorderedP( cons( Y, X ) ) ] )
% 2.97/3.35 , clause( 20612, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.97/3.35 ssItem( Y ) ) ] )
% 2.97/3.35 , clause( 20613, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.97/3.35 ssList( X ) ) ] )
% 2.97/3.35 , clause( 20614, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.97/3.35 Y ) ), singletonP( Y ) ] )
% 2.97/3.35 , clause( 20615, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.97/3.35 ssItem( X ) ) ] )
% 2.97/3.35 , clause( 20616, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.97/3.35 X ) ), =( nil, X ) ] )
% 2.97/3.35 , clause( 20617, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.97/3.35 X ) ), =( nil, Y ) ] )
% 2.97/3.35 , clause( 20618, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 2.97/3.35 ), Y ), cons( X, Y ) ) ] )
% 2.97/3.35 , clause( 20619, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.97/3.35 X, Y ), =( X, Y ) ] )
% 2.97/3.35 , clause( 20620, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.97/3.35 X, Y ), =( X, Y ) ] )
% 2.97/3.35 , clause( 20621, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 2.97/3.35 app( Y, X ) ), hd( Y ) ) ] )
% 2.97/3.35 , clause( 20622, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.97/3.35 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 2.97/3.35 , clause( 20623, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.97/3.35 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 2.97/3.35 , clause( 20624, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 2.97/3.35 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.97/3.35 , clause( 20625, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 2.97/3.35 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.97/3.35 , clause( 20626, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 2.97/3.35 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.97/3.35 , clause( 20627, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 2.97/3.35 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.97/3.35 , clause( 20628, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 2.97/3.35 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.97/3.35 , clause( 20629, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.97/3.35 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 2.97/3.35 , clause( 20630, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.97/3.35 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 2.97/3.35 , clause( 20631, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 2.97/3.35 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 2.97/3.35 , clause( 20632, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.97/3.35 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 2.97/3.35 , clause( 20633, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.97/3.35 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 2.97/3.35 , clause( 20634, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.97/3.35 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 2.97/3.35 , clause( 20635, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.97/3.35 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 2.97/3.35 , clause( 20636, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 2.97/3.35 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 2.97/3.35 , clause( 20637, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 2.97/3.35 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 2.97/3.35 , clause( 20638, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 2.97/3.35 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 2.97/3.35 , clause( 20639, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 2.97/3.35 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 2.97/3.35 , clause( 20640, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 2.97/3.35 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 2.97/3.35 , clause( 20641, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 2.97/3.35 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 2.97/3.35 , clause( 20642, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 2.97/3.35 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.97/3.35 , clause( 20643, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 2.97/3.35 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.97/3.35 , clause( 20644, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.97/3.35 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 2.97/3.35 , clause( 20645, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.97/3.35 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.97/3.35 , clause( 20646, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.97/3.35 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 2.97/3.35 , clause( 20647, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.97/3.35 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 2.97/3.35 , clause( 20648, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 2.97/3.35 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.97/3.35 , clause( 20649, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 2.97/3.35 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 2.97/3.35 , clause( 20650, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 2.97/3.35 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 2.97/3.35 , clause( 20651, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 2.97/3.35 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 2.97/3.35 , clause( 20652, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 2.97/3.35 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 2.97/3.35 , clause( 20653, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.97/3.35 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.97/3.35 , clause( 20654, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.97/3.35 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 2.97/3.35 , clause( 20655, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.97/3.35 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 2.97/3.35 , clause( 20656, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.97/3.35 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 2.97/3.35 , clause( 20657, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 2.97/3.35 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 2.97/3.35 ) ] )
% 2.97/3.35 , clause( 20658, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 2.97/3.35 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 2.97/3.35 Y ) ] )
% 2.97/3.35 , clause( 20659, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.97/3.35 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 2.97/3.35 , clause( 20660, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 2.97/3.35 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 2.97/3.35 skaf77( X ) ) ), X ) ] )
% 2.97/3.35 , clause( 20661, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 2.97/3.35 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 2.97/3.35 skaf73( X ) ) ), X ) ] )
% 2.97/3.35 , clause( 20662, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 2.97/3.35 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 2.97/3.35 skaf68( X ) ) ), X ) ] )
% 2.97/3.35 , clause( 20663, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 2.97/3.35 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 2.97/3.35 ), X ) ] )
% 2.97/3.35 , clause( 20664, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 2.97/3.35 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 2.97/3.35 ), X ) ] )
% 2.97/3.35 , clause( 20665, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 2.97/3.35 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 2.97/3.35 ), X ) ] )
% 2.97/3.35 , clause( 20666, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.97/3.35 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 2.97/3.35 , clause( 20667, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 2.97/3.35 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 2.97/3.35 , clause( 20668, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.97/3.35 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 2.97/3.35 , clause( 20669, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.97/3.35 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 2.97/3.35 , clause( 20670, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 2.97/3.35 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 2.97/3.35 Y ) ] )
% 2.97/3.35 , clause( 20671, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 2.97/3.35 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 2.97/3.35 )
% 2.97/3.35 , clause( 20672, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.97/3.35 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 2.97/3.35 , T ) ] )
% 2.97/3.35 , clause( 20673, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 2.97/3.35 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 2.97/3.35 )
% 2.97/3.35 , clause( 20674, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.97/3.35 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 2.97/3.35 )
% 2.97/3.35 , clause( 20675, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 2.97/3.35 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 2.97/3.35 )
% 2.97/3.35 , clause( 20676, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 2.97/3.35 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 2.97/3.35 Z, X ), cons( T, Y ) ) ] )
% 2.97/3.35 , clause( 20677, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 2.97/3.35 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 2.97/3.35 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 2.97/3.35 , clause( 20678, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 2.97/3.35 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 2.97/3.35 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 2.97/3.35 , clause( 20679, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.97/3.35 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.97/3.35 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 2.97/3.35 ) ] )
% 2.97/3.35 , clause( 20680, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.97/3.35 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.97/3.35 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 2.97/3.35 ) ] )
% 2.97/3.35 , clause( 20681, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.97/3.35 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.97/3.35 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 3.01/3.37 , lt( T, Y ) ] )
% 3.01/3.37 , clause( 20682, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 3.01/3.37 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 3.01/3.37 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 3.01/3.37 , leq( T, Y ) ] )
% 3.01/3.37 , clause( 20683, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 3.01/3.37 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 3.01/3.37 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 3.01/3.37 ) ), ~( ssList( W ) ) ] )
% 3.01/3.37 , clause( 20684, [ ssList( sk1 ) ] )
% 3.01/3.37 , clause( 20685, [ ssList( sk2 ) ] )
% 3.01/3.37 , clause( 20686, [ ssList( sk3 ) ] )
% 3.01/3.37 , clause( 20687, [ ssList( sk4 ) ] )
% 3.01/3.37 , clause( 20688, [ =( sk2, sk4 ) ] )
% 3.01/3.37 , clause( 20689, [ =( sk1, sk3 ) ] )
% 3.01/3.37 , clause( 20690, [ ~( totalorderedP( sk1 ) ) ] )
% 3.01/3.37 , clause( 20691, [ ssItem( sk5 ), =( nil, sk4 ) ] )
% 3.01/3.37 , clause( 20692, [ ssItem( sk5 ), =( nil, sk3 ) ] )
% 3.01/3.37 , clause( 20693, [ ssList( sk6 ), =( nil, sk4 ) ] )
% 3.01/3.37 , clause( 20694, [ ssList( sk7 ), =( nil, sk4 ) ] )
% 3.01/3.37 , clause( 20695, [ =( cons( sk5, nil ), sk3 ), =( nil, sk4 ) ] )
% 3.01/3.37 , clause( 20696, [ =( app( app( sk6, sk3 ), sk7 ), sk4 ), =( nil, sk4 ) ]
% 3.01/3.37 )
% 3.01/3.37 , clause( 20697, [ ~( ssItem( X ) ), ~( memberP( sk6, X ) ), ~( lt( sk5, X
% 3.01/3.37 ) ), =( nil, sk4 ) ] )
% 3.01/3.37 , clause( 20698, [ ~( ssItem( X ) ), ~( memberP( sk7, X ) ), ~( lt( X, sk5
% 3.01/3.37 ) ), =( nil, sk4 ) ] )
% 3.01/3.37 , clause( 20699, [ ssList( sk6 ), =( nil, sk3 ) ] )
% 3.01/3.37 , clause( 20700, [ ssList( sk7 ), =( nil, sk3 ) ] )
% 3.01/3.37 , clause( 20701, [ =( cons( sk5, nil ), sk3 ), =( nil, sk3 ) ] )
% 3.01/3.37 , clause( 20702, [ =( app( app( sk6, sk3 ), sk7 ), sk4 ), =( nil, sk3 ) ]
% 3.01/3.37 )
% 3.01/3.37 , clause( 20703, [ ~( ssItem( X ) ), ~( memberP( sk6, X ) ), ~( lt( sk5, X
% 3.01/3.37 ) ), =( nil, sk3 ) ] )
% 3.01/3.37 , clause( 20704, [ ~( ssItem( X ) ), ~( memberP( sk7, X ) ), ~( lt( X, sk5
% 3.01/3.37 ) ), =( nil, sk3 ) ] )
% 3.01/3.37 ] ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 3, [ totalorderedP( nil ) ] )
% 3.01/3.37 , clause( 20502, [ totalorderedP( nil ) ] )
% 3.01/3.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 7, [ ssList( nil ) ] )
% 3.01/3.37 , clause( 20506, [ ssList( nil ) ] )
% 3.01/3.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 66, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 3.01/3.37 , clause( 20565, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 3.01/3.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.01/3.37 1 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 3.01/3.37 , clause( 20571, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 3.01/3.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.01/3.37 1 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 80, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ] )
% 3.01/3.37 , clause( 20581, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 3.01/3.37 ] )
% 3.01/3.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.01/3.37 1 ), ==>( 2, 2 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 3.01/3.37 , clause( 20582, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 3.01/3.37 ] )
% 3.01/3.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.01/3.37 1 ), ==>( 2, 2 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 3.01/3.37 ), =( nil, X ) ] )
% 3.01/3.37 , clause( 20616, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 3.01/3.37 X ) ), =( nil, X ) ] )
% 3.01/3.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.01/3.37 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 182, [ ssList( sk1 ) ] )
% 3.01/3.37 , clause( 20684, [ ssList( sk1 ) ] )
% 3.01/3.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 eqswap(
% 3.01/3.37 clause( 22302, [ =( sk4, sk2 ) ] )
% 3.01/3.37 , clause( 20688, [ =( sk2, sk4 ) ] )
% 3.01/3.37 , 0, substitution( 0, [] )).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 186, [ =( sk4, sk2 ) ] )
% 3.01/3.37 , clause( 22302, [ =( sk4, sk2 ) ] )
% 3.01/3.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 eqswap(
% 3.01/3.37 clause( 23061, [ =( sk3, sk1 ) ] )
% 3.01/3.37 , clause( 20689, [ =( sk1, sk3 ) ] )
% 3.01/3.37 , 0, substitution( 0, [] )).
% 3.01/3.37
% 3.01/3.37
% 3.01/3.37 subsumption(
% 3.01/3.37 clause( 187, [ =( sk3, sk1 ) ] )
% 3.01/3.37 , clause( 23061, [ =( sk3, sk1 ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 188, [ ~( totalorderedP( sk1 ) ) ] )
% 3.01/3.41 , clause( 20690, [ ~( totalorderedP( sk1 ) ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 24783, [ =( nil, sk2 ), ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 186, [ =( sk4, sk2 ) ] )
% 3.01/3.41 , 0, clause( 20691, [ ssItem( sk5 ), =( nil, sk4 ) ] )
% 3.01/3.41 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 189, [ ssItem( sk5 ), =( nil, sk2 ) ] )
% 3.01/3.41 , clause( 24783, [ =( nil, sk2 ), ssItem( sk5 ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.01/3.41 ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 28229, [ =( sk2, sk3 ), ssItem( sk5 ), ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 189, [ ssItem( sk5 ), =( nil, sk2 ) ] )
% 3.01/3.41 , 1, clause( 20692, [ ssItem( sk5 ), =( nil, sk3 ) ] )
% 3.01/3.41 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 factor(
% 3.01/3.41 clause( 28230, [ =( sk2, sk3 ), ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 28229, [ =( sk2, sk3 ), ssItem( sk5 ), ssItem( sk5 ) ] )
% 3.01/3.41 , 1, 2, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 28231, [ =( sk2, sk1 ), ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 187, [ =( sk3, sk1 ) ] )
% 3.01/3.41 , 0, clause( 28230, [ =( sk2, sk3 ), ssItem( sk5 ) ] )
% 3.01/3.41 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 190, [ ssItem( sk5 ), =( sk2, sk1 ) ] )
% 3.01/3.41 , clause( 28231, [ =( sk2, sk1 ), ssItem( sk5 ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.01/3.41 ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 29404, [ =( cons( sk5, nil ), sk1 ), =( nil, sk4 ) ] )
% 3.01/3.41 , clause( 187, [ =( sk3, sk1 ) ] )
% 3.01/3.41 , 0, clause( 20695, [ =( cons( sk5, nil ), sk3 ), =( nil, sk4 ) ] )
% 3.01/3.41 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 29405, [ =( nil, sk2 ), =( cons( sk5, nil ), sk1 ) ] )
% 3.01/3.41 , clause( 186, [ =( sk4, sk2 ) ] )
% 3.01/3.41 , 0, clause( 29404, [ =( cons( sk5, nil ), sk1 ), =( nil, sk4 ) ] )
% 3.01/3.41 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 193, [ =( cons( sk5, nil ), sk1 ), =( nil, sk2 ) ] )
% 3.01/3.41 , clause( 29405, [ =( nil, sk2 ), =( cons( sk5, nil ), sk1 ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.01/3.41 ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 31760, [ =( sk1, cons( sk5, nil ) ), =( nil, sk2 ) ] )
% 3.01/3.41 , clause( 193, [ =( cons( sk5, nil ), sk1 ), =( nil, sk2 ) ] )
% 3.01/3.41 , 0, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 31768, [ =( nil, sk1 ), =( cons( sk5, nil ), sk3 ) ] )
% 3.01/3.41 , clause( 187, [ =( sk3, sk1 ) ] )
% 3.01/3.41 , 0, clause( 20701, [ =( cons( sk5, nil ), sk3 ), =( nil, sk3 ) ] )
% 3.01/3.41 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 31770, [ =( sk2, sk1 ), =( sk1, cons( sk5, nil ) ), =( cons( sk5,
% 3.01/3.41 nil ), sk3 ) ] )
% 3.01/3.41 , clause( 31760, [ =( sk1, cons( sk5, nil ) ), =( nil, sk2 ) ] )
% 3.01/3.41 , 1, clause( 31768, [ =( nil, sk1 ), =( cons( sk5, nil ), sk3 ) ] )
% 3.01/3.41 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 32074, [ =( cons( sk5, nil ), sk1 ), =( sk2, sk1 ), =( sk1, cons(
% 3.01/3.41 sk5, nil ) ) ] )
% 3.01/3.41 , clause( 187, [ =( sk3, sk1 ) ] )
% 3.01/3.41 , 0, clause( 31770, [ =( sk2, sk1 ), =( sk1, cons( sk5, nil ) ), =( cons(
% 3.01/3.41 sk5, nil ), sk3 ) ] )
% 3.01/3.41 , 2, 4, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 32077, [ =( cons( sk5, nil ), sk1 ), =( cons( sk5, nil ), sk1 ),
% 3.01/3.41 =( sk2, sk1 ) ] )
% 3.01/3.41 , clause( 32074, [ =( cons( sk5, nil ), sk1 ), =( sk2, sk1 ), =( sk1, cons(
% 3.01/3.41 sk5, nil ) ) ] )
% 3.01/3.41 , 2, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 factor(
% 3.01/3.41 clause( 32085, [ =( cons( sk5, nil ), sk1 ), =( sk2, sk1 ) ] )
% 3.01/3.41 , clause( 32077, [ =( cons( sk5, nil ), sk1 ), =( cons( sk5, nil ), sk1 ),
% 3.01/3.41 =( sk2, sk1 ) ] )
% 3.01/3.41 , 0, 1, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 199, [ =( cons( sk5, nil ), sk1 ), =( sk2, sk1 ) ] )
% 3.01/3.41 , clause( 32085, [ =( cons( sk5, nil ), sk1 ), =( sk2, sk1 ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.01/3.41 ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 32086, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 3.01/3.41 , clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 3.01/3.41 , 1, substitution( 0, [ :=( X, X )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 resolution(
% 3.01/3.41 clause( 32087, [ =( nil, app( nil, nil ) ) ] )
% 3.01/3.41 , clause( 32086, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 3.01/3.41 , 1, clause( 7, [ ssList( nil ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, nil )] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 32088, [ =( app( nil, nil ), nil ) ] )
% 3.01/3.41 , clause( 32087, [ =( nil, app( nil, nil ) ) ] )
% 3.01/3.41 , 0, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 798, [ =( app( nil, nil ), nil ) ] )
% 3.01/3.41 , clause( 32088, [ =( app( nil, nil ), nil ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 32089, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) ) ]
% 3.01/3.41 )
% 3.01/3.41 , clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 3.01/3.41 )
% 3.01/3.41 , 2, substitution( 0, [ :=( X, X )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 resolution(
% 3.01/3.41 clause( 32090, [ =( sk1, nil ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.01/3.41 , clause( 32089, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) )
% 3.01/3.41 ] )
% 3.01/3.41 , 2, clause( 182, [ ssList( sk1 ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 32091, [ =( nil, sk1 ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.01/3.41 , clause( 32090, [ =( sk1, nil ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.01/3.41 , 0, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 1783, [ ~( frontsegP( nil, sk1 ) ), =( nil, sk1 ) ] )
% 3.01/3.41 , clause( 32091, [ =( nil, sk1 ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.01/3.41 ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 32092, [ =( sk1, sk2 ), ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 190, [ ssItem( sk5 ), =( sk2, sk1 ) ] )
% 3.01/3.41 , 1, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 32094, [ =( sk1, sk2 ), =( cons( sk5, nil ), sk1 ) ] )
% 3.01/3.41 , clause( 199, [ =( cons( sk5, nil ), sk1 ), =( sk2, sk1 ) ] )
% 3.01/3.41 , 1, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 resolution(
% 3.01/3.41 clause( 32096, [ totalorderedP( cons( sk5, nil ) ), =( sk1, sk2 ) ] )
% 3.01/3.41 , clause( 66, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 3.01/3.41 , 0, clause( 32092, [ =( sk1, sk2 ), ssItem( sk5 ) ] )
% 3.01/3.41 , 1, substitution( 0, [ :=( X, sk5 )] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 32098, [ totalorderedP( sk1 ), =( sk1, sk2 ), =( sk1, sk2 ) ] )
% 3.01/3.41 , clause( 32094, [ =( sk1, sk2 ), =( cons( sk5, nil ), sk1 ) ] )
% 3.01/3.41 , 1, clause( 32096, [ totalorderedP( cons( sk5, nil ) ), =( sk1, sk2 ) ] )
% 3.01/3.41 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 factor(
% 3.01/3.41 clause( 32099, [ totalorderedP( sk1 ), =( sk1, sk2 ) ] )
% 3.01/3.41 , clause( 32098, [ totalorderedP( sk1 ), =( sk1, sk2 ), =( sk1, sk2 ) ] )
% 3.01/3.41 , 1, 2, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 resolution(
% 3.01/3.41 clause( 32100, [ =( sk1, sk2 ) ] )
% 3.01/3.41 , clause( 188, [ ~( totalorderedP( sk1 ) ) ] )
% 3.01/3.41 , 0, clause( 32099, [ totalorderedP( sk1 ), =( sk1, sk2 ) ] )
% 3.01/3.41 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 32101, [ =( sk2, sk1 ) ] )
% 3.01/3.41 , clause( 32100, [ =( sk1, sk2 ) ] )
% 3.01/3.41 , 0, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 4955, [ =( sk2, sk1 ) ] )
% 3.01/3.41 , clause( 32101, [ =( sk2, sk1 ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 32104, [ =( nil, sk1 ), ssItem( sk5 ), ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 190, [ ssItem( sk5 ), =( sk2, sk1 ) ] )
% 3.01/3.41 , 1, clause( 189, [ ssItem( sk5 ), =( nil, sk2 ) ] )
% 3.01/3.41 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 factor(
% 3.01/3.41 clause( 32107, [ =( nil, sk1 ), ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 32104, [ =( nil, sk1 ), ssItem( sk5 ), ssItem( sk5 ) ] )
% 3.01/3.41 , 1, 2, substitution( 0, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 5001, [ ssItem( sk5 ), =( nil, sk1 ) ] )
% 3.01/3.41 , clause( 32107, [ =( nil, sk1 ), ssItem( sk5 ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.01/3.41 ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 32109, [ totalorderedP( sk1 ), ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 5001, [ ssItem( sk5 ), =( nil, sk1 ) ] )
% 3.01/3.41 , 1, clause( 3, [ totalorderedP( nil ) ] )
% 3.01/3.41 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 resolution(
% 3.01/3.41 clause( 32110, [ ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 188, [ ~( totalorderedP( sk1 ) ) ] )
% 3.01/3.41 , 0, clause( 32109, [ totalorderedP( sk1 ), ssItem( sk5 ) ] )
% 3.01/3.41 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 5427, [ ssItem( sk5 ) ] )
% 3.01/3.41 , clause( 32110, [ ssItem( sk5 ) ] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 resolution(
% 3.01/3.41 clause( 32111, [ totalorderedP( cons( sk5, nil ) ) ] )
% 3.01/3.41 , clause( 66, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 3.01/3.41 , 0, clause( 5427, [ ssItem( sk5 ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, sk5 )] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 subsumption(
% 3.52/3.87 clause( 5446, [ totalorderedP( cons( sk5, nil ) ) ] )
% 3.52/3.87 , clause( 32111, [ totalorderedP( cons( sk5, nil ) ) ] )
% 3.52/3.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 eqswap(
% 3.52/3.87 clause( 32113, [ =( X, nil ), ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) )
% 3.52/3.87 , ~( ssList( X ) ) ] )
% 3.52/3.87 , clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X
% 3.52/3.87 ) ), =( nil, X ) ] )
% 3.52/3.87 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 eqswap(
% 3.52/3.87 clause( 32114, [ ~( =( nil, app( X, Y ) ) ), =( X, nil ), ~( ssList( Y ) )
% 3.52/3.87 , ~( ssList( X ) ) ] )
% 3.52/3.87 , clause( 32113, [ =( X, nil ), ~( =( app( X, Y ), nil ) ), ~( ssList( Y )
% 3.52/3.87 ), ~( ssList( X ) ) ] )
% 3.52/3.87 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 paramod(
% 3.52/3.87 clause( 32115, [ ~( totalorderedP( nil ) ), ~( =( nil, app( sk1, X ) ) ),
% 3.52/3.87 ~( ssList( X ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , clause( 32114, [ ~( =( nil, app( X, Y ) ) ), =( X, nil ), ~( ssList( Y )
% 3.52/3.87 ), ~( ssList( X ) ) ] )
% 3.52/3.87 , 1, clause( 188, [ ~( totalorderedP( sk1 ) ) ] )
% 3.52/3.87 , 0, 2, substitution( 0, [ :=( X, sk1 ), :=( Y, X )] ), substitution( 1, [] )
% 3.52/3.87 ).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 resolution(
% 3.52/3.87 clause( 32701, [ ~( =( nil, app( sk1, X ) ) ), ~( ssList( X ) ), ~( ssList(
% 3.52/3.87 sk1 ) ) ] )
% 3.52/3.87 , clause( 32115, [ ~( totalorderedP( nil ) ), ~( =( nil, app( sk1, X ) ) )
% 3.52/3.87 , ~( ssList( X ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , 0, clause( 3, [ totalorderedP( nil ) ] )
% 3.52/3.87 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 eqswap(
% 3.52/3.87 clause( 32702, [ ~( =( app( sk1, X ), nil ) ), ~( ssList( X ) ), ~( ssList(
% 3.52/3.87 sk1 ) ) ] )
% 3.52/3.87 , clause( 32701, [ ~( =( nil, app( sk1, X ) ) ), ~( ssList( X ) ), ~(
% 3.52/3.87 ssList( sk1 ) ) ] )
% 3.52/3.87 , 0, substitution( 0, [ :=( X, X )] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 subsumption(
% 3.52/3.87 clause( 7344, [ ~( =( app( sk1, X ), nil ) ), ~( ssList( X ) ), ~( ssList(
% 3.52/3.87 sk1 ) ) ] )
% 3.52/3.87 , clause( 32702, [ ~( =( app( sk1, X ), nil ) ), ~( ssList( X ) ), ~(
% 3.52/3.87 ssList( sk1 ) ) ] )
% 3.52/3.87 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.52/3.87 1 ), ==>( 2, 2 )] ) ).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 factor(
% 3.52/3.87 clause( 32707, [ ~( =( app( sk1, sk1 ), nil ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , clause( 7344, [ ~( =( app( sk1, X ), nil ) ), ~( ssList( X ) ), ~( ssList(
% 3.52/3.87 sk1 ) ) ] )
% 3.52/3.87 , 1, 2, substitution( 0, [ :=( X, sk1 )] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 resolution(
% 3.52/3.87 clause( 32708, [ ~( =( app( sk1, sk1 ), nil ) ) ] )
% 3.52/3.87 , clause( 32707, [ ~( =( app( sk1, sk1 ), nil ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , 1, clause( 182, [ ssList( sk1 ) ] )
% 3.52/3.87 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 subsumption(
% 3.52/3.87 clause( 7345, [ ~( =( app( sk1, sk1 ), nil ) ) ] )
% 3.52/3.87 , clause( 32708, [ ~( =( app( sk1, sk1 ), nil ) ) ] )
% 3.52/3.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 eqswap(
% 3.52/3.87 clause( 32710, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) ) ]
% 3.52/3.87 )
% 3.52/3.87 , clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 3.52/3.87 )
% 3.52/3.87 , 2, substitution( 0, [ :=( X, X )] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 eqswap(
% 3.52/3.87 clause( 32711, [ ~( =( nil, app( sk1, sk1 ) ) ) ] )
% 3.52/3.87 , clause( 7345, [ ~( =( app( sk1, sk1 ), nil ) ) ] )
% 3.52/3.87 , 0, substitution( 0, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 paramod(
% 3.52/3.87 clause( 32717, [ ~( =( nil, app( sk1, nil ) ) ), ~( frontsegP( nil, sk1 ) )
% 3.52/3.87 , ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , clause( 32710, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) )
% 3.52/3.87 ] )
% 3.52/3.87 , 0, clause( 32711, [ ~( =( nil, app( sk1, sk1 ) ) ) ] )
% 3.52/3.87 , 0, 5, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 paramod(
% 3.52/3.87 clause( 32722, [ ~( ssList( nil ) ), ~( frontsegP( nil, sk1 ) ), ~( ssList(
% 3.52/3.87 sk1 ) ), ~( =( nil, app( sk1, nil ) ) ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32710, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) )
% 3.52/3.87 ] )
% 3.52/3.87 , 0, clause( 32717, [ ~( =( nil, app( sk1, nil ) ) ), ~( frontsegP( nil,
% 3.52/3.87 sk1 ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , 2, 2, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 paramod(
% 3.52/3.87 clause( 32726, [ ~( =( nil, app( nil, nil ) ) ), ~( frontsegP( nil, sk1 ) )
% 3.52/3.87 , ~( ssList( sk1 ) ), ~( ssList( nil ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32710, [ =( X, nil ), ~( frontsegP( nil, X ) ), ~( ssList( X ) )
% 3.52/3.87 ] )
% 3.52/3.87 , 0, clause( 32722, [ ~( ssList( nil ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 ssList( sk1 ) ), ~( =( nil, app( sk1, nil ) ) ), ~( frontsegP( nil, sk1 )
% 3.52/3.87 ) ] )
% 3.52/3.87 , 3, 4, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 paramod(
% 3.52/3.87 clause( 32846, [ ~( =( nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~( ssList(
% 3.52/3.87 sk1 ) ), ~( ssList( nil ) ), ~( frontsegP( nil, sk1 ) ), ~( ssList( sk1 )
% 3.52/3.87 ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 798, [ =( app( nil, nil ), nil ) ] )
% 3.52/3.87 , 0, clause( 32726, [ ~( =( nil, app( nil, nil ) ) ), ~( frontsegP( nil,
% 3.52/3.87 sk1 ) ), ~( ssList( sk1 ) ), ~( ssList( nil ) ), ~( frontsegP( nil, sk1 )
% 3.52/3.87 ), ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 factor(
% 3.52/3.87 clause( 32847, [ ~( =( nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~( ssList(
% 3.52/3.87 sk1 ) ), ~( ssList( nil ) ), ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 )
% 3.52/3.87 ) ] )
% 3.52/3.87 , clause( 32846, [ ~( =( nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 ssList( sk1 ) ), ~( ssList( nil ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , 1, 4, substitution( 0, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 factor(
% 3.52/3.87 clause( 32848, [ ~( =( nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~( ssList(
% 3.52/3.87 sk1 ) ), ~( ssList( nil ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , clause( 32847, [ ~( =( nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 ssList( sk1 ) ), ~( ssList( nil ) ), ~( ssList( sk1 ) ), ~( frontsegP(
% 3.52/3.87 nil, sk1 ) ) ] )
% 3.52/3.87 , 1, 5, substitution( 0, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 factor(
% 3.52/3.87 clause( 32849, [ ~( =( nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~( ssList(
% 3.52/3.87 sk1 ) ), ~( ssList( nil ) ) ] )
% 3.52/3.87 , clause( 32848, [ ~( =( nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 ssList( sk1 ) ), ~( ssList( nil ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , 2, 4, substitution( 0, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 paramod(
% 3.52/3.87 clause( 32853, [ ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ), ~( =( nil
% 3.52/3.87 , nil ) ), ~( frontsegP( nil, sk1 ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , clause( 1783, [ ~( frontsegP( nil, sk1 ) ), =( nil, sk1 ) ] )
% 3.52/3.87 , 1, clause( 32849, [ ~( =( nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 ssList( sk1 ) ), ~( ssList( nil ) ) ] )
% 3.52/3.87 , 3, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 factor(
% 3.52/3.87 clause( 32880, [ ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ), ~( =( nil
% 3.52/3.87 , nil ) ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32853, [ ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ), ~( =(
% 3.52/3.87 nil, nil ) ), ~( frontsegP( nil, sk1 ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , 0, 4, substitution( 0, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 eqrefl(
% 3.52/3.87 clause( 32883, [ ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32880, [ ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ), ~( =(
% 3.52/3.87 nil, nil ) ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , 2, substitution( 0, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 factor(
% 3.52/3.87 clause( 32884, [ ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32883, [ ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ), ~(
% 3.52/3.87 frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , 1, 2, substitution( 0, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 resolution(
% 3.52/3.87 clause( 32885, [ ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32884, [ ~( ssList( sk1 ) ), ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , 0, clause( 182, [ ssList( sk1 ) ] )
% 3.52/3.87 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 subsumption(
% 3.52/3.87 clause( 15807, [ ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32885, [ ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 eqswap(
% 3.52/3.87 clause( 32886, [ ~( =( X, nil ) ), ~( ssList( X ) ), frontsegP( nil, X ) ]
% 3.52/3.87 )
% 3.52/3.87 , clause( 80, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ]
% 3.52/3.87 )
% 3.52/3.87 , 0, substitution( 0, [ :=( X, X )] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 resolution(
% 3.52/3.87 clause( 32887, [ ~( =( sk1, nil ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , clause( 15807, [ ~( frontsegP( nil, sk1 ) ) ] )
% 3.52/3.87 , 0, clause( 32886, [ ~( =( X, nil ) ), ~( ssList( X ) ), frontsegP( nil, X
% 3.52/3.87 ) ] )
% 3.52/3.87 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 )] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 resolution(
% 3.52/3.87 clause( 32888, [ ~( =( sk1, nil ) ) ] )
% 3.52/3.87 , clause( 32887, [ ~( =( sk1, nil ) ), ~( ssList( sk1 ) ) ] )
% 3.52/3.87 , 1, clause( 182, [ ssList( sk1 ) ] )
% 3.52/3.87 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 eqswap(
% 3.52/3.87 clause( 32889, [ ~( =( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32888, [ ~( =( sk1, nil ) ) ] )
% 3.52/3.87 , 0, substitution( 0, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 subsumption(
% 3.52/3.87 clause( 15825, [ ~( =( nil, sk1 ) ) ] )
% 3.52/3.87 , clause( 32889, [ ~( =( nil, sk1 ) ) ] )
% 3.52/3.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 paramod(
% 3.52/3.87 clause( 32895, [ =( nil, sk1 ), =( cons( sk5, nil ), sk1 ) ] )
% 3.52/3.87 , clause( 4955, [ =( sk2, sk1 ) ] )
% 3.52/3.87 , 0, clause( 193, [ =( cons( sk5, nil ), sk1 ), =( nil, sk2 ) ] )
% 3.52/3.87 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 resolution(
% 3.52/3.87 clause( 32896, [ =( cons( sk5, nil ), sk1 ) ] )
% 3.52/3.87 , clause( 15825, [ ~( =( nil, sk1 ) ) ] )
% 3.52/3.87 , 0, clause( 32895, [ =( nil, sk1 ), =( cons( sk5, nil ), sk1 ) ] )
% 3.52/3.87 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 subsumption(
% 3.52/3.87 clause( 20186, [ =( cons( sk5, nil ), sk1 ) ] )
% 3.52/3.87 , clause( 32896, [ =( cons( sk5, nil ), sk1 ) ] )
% 3.52/3.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 paramod(
% 3.52/3.87 clause( 32899, [ totalorderedP( sk1 ) ] )
% 3.52/3.87 , clause( 20186, [ =( cons( sk5, nil ), sk1 ) ] )
% 3.52/3.87 , 0, clause( 5446, [ totalorderedP( cons( sk5, nil ) ) ] )
% 3.52/3.87 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 resolution(
% 3.52/3.87 clause( 32900, [] )
% 3.52/3.87 , clause( 188, [ ~( totalorderedP( sk1 ) ) ] )
% 3.52/3.87 , 0, clause( 32899, [ totalorderedP( sk1 ) ] )
% 3.52/3.87 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 subsumption(
% 3.52/3.87 clause( 20497, [] )
% 3.52/3.87 , clause( 32900, [] )
% 3.52/3.87 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 end.
% 3.52/3.87
% 3.52/3.87 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.52/3.87
% 3.52/3.87 Memory use:
% 3.52/3.87
% 3.52/3.87 space for terms: 359570
% 3.52/3.87 space for clauses: 1016931
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 clauses generated: 75849
% 3.52/3.87 clauses kept: 20498
% 3.52/3.87 clauses selected: 590
% 3.52/3.87 clauses deleted: 1617
% 3.52/3.87 clauses inuse deleted: 27
% 3.52/3.87
% 3.52/3.87 subsentry: 470147
% 3.52/3.87 literals s-matched: 229255
% 3.52/3.87 literals matched: 168620
% 3.52/3.87 full subsumption: 109244
% 3.52/3.87
% 3.52/3.87 checksum: -1598484314
% 3.52/3.87
% 3.52/3.87
% 3.52/3.87 Bliksem ended
%------------------------------------------------------------------------------