TSTP Solution File: SWC292-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC292-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 19:35:35 EDT 2022
% Result : Unsatisfiable 1.90s 2.36s
% Output : Refutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWC292-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.08 % Command : bliksem %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % DateTime : Sun Jun 12 18:49:26 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.50/0.91 *** allocated 10000 integers for termspace/termends
% 0.50/0.91 *** allocated 10000 integers for clauses
% 0.50/0.91 *** allocated 10000 integers for justifications
% 0.50/0.91 Bliksem 1.12
% 0.50/0.91
% 0.50/0.91
% 0.50/0.91 Automatic Strategy Selection
% 0.50/0.91
% 0.50/0.91 Clauses:
% 0.50/0.91 [
% 0.50/0.91 [ equalelemsP( nil ) ],
% 0.50/0.91 [ duplicatefreeP( nil ) ],
% 0.50/0.91 [ strictorderedP( nil ) ],
% 0.50/0.91 [ totalorderedP( nil ) ],
% 0.50/0.91 [ strictorderP( nil ) ],
% 0.50/0.91 [ totalorderP( nil ) ],
% 0.50/0.91 [ cyclefreeP( nil ) ],
% 0.50/0.91 [ ssList( nil ) ],
% 0.50/0.91 [ ssItem( skac3 ) ],
% 0.50/0.91 [ ssItem( skac2 ) ],
% 0.50/0.91 [ ~( singletonP( nil ) ) ],
% 0.50/0.91 [ ssItem( skaf83( X ) ) ],
% 0.50/0.91 [ ssList( skaf82( X ) ) ],
% 0.50/0.91 [ ssList( skaf81( X ) ) ],
% 0.50/0.91 [ ssList( skaf80( X ) ) ],
% 0.50/0.91 [ ssItem( skaf79( X ) ) ],
% 0.50/0.91 [ ssItem( skaf78( X ) ) ],
% 0.50/0.91 [ ssList( skaf77( X ) ) ],
% 0.50/0.91 [ ssList( skaf76( X ) ) ],
% 0.50/0.91 [ ssList( skaf75( X ) ) ],
% 0.50/0.91 [ ssItem( skaf74( X ) ) ],
% 0.50/0.91 [ ssList( skaf73( X ) ) ],
% 0.50/0.91 [ ssList( skaf72( X ) ) ],
% 0.50/0.91 [ ssList( skaf71( X ) ) ],
% 0.50/0.91 [ ssItem( skaf70( X ) ) ],
% 0.50/0.91 [ ssItem( skaf69( X ) ) ],
% 0.50/0.91 [ ssList( skaf68( X ) ) ],
% 0.50/0.91 [ ssList( skaf67( X ) ) ],
% 0.50/0.91 [ ssList( skaf66( X ) ) ],
% 0.50/0.91 [ ssItem( skaf65( X ) ) ],
% 0.50/0.91 [ ssItem( skaf64( X ) ) ],
% 0.50/0.91 [ ssList( skaf63( X ) ) ],
% 0.50/0.91 [ ssList( skaf62( X ) ) ],
% 0.50/0.91 [ ssList( skaf61( X ) ) ],
% 0.50/0.91 [ ssItem( skaf60( X ) ) ],
% 0.50/0.91 [ ssItem( skaf59( X ) ) ],
% 0.50/0.91 [ ssList( skaf58( X ) ) ],
% 0.50/0.91 [ ssList( skaf57( X ) ) ],
% 0.50/0.91 [ ssList( skaf56( X ) ) ],
% 0.50/0.91 [ ssItem( skaf55( X ) ) ],
% 0.50/0.91 [ ssItem( skaf54( X ) ) ],
% 0.50/0.91 [ ssList( skaf53( X ) ) ],
% 0.50/0.91 [ ssList( skaf52( X ) ) ],
% 0.50/0.91 [ ssList( skaf51( X ) ) ],
% 0.50/0.91 [ ssItem( skaf50( X ) ) ],
% 0.50/0.91 [ ssItem( skaf49( X ) ) ],
% 0.50/0.91 [ ssItem( skaf44( X ) ) ],
% 0.50/0.91 [ ssList( skaf48( X, Y ) ) ],
% 0.50/0.91 [ ssList( skaf47( X, Y ) ) ],
% 0.50/0.91 [ ssList( skaf46( X, Y ) ) ],
% 0.50/0.91 [ ssList( skaf45( X, Y ) ) ],
% 0.50/0.91 [ ssList( skaf43( X, Y ) ) ],
% 0.50/0.91 [ ssList( skaf42( X, Y ) ) ],
% 0.50/0.91 [ ~( =( skac3, skac2 ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.50/0.91 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.50/0.91 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.50/0.91 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.50/0.91 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.50/0.91 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.50/0.91 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.50/0.91 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.50/0.91 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.50/0.91 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.50/0.91 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.50/0.91 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.50/0.91 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.50/0.91 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.50/0.91 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.50/0.91 ],
% 0.50/0.91 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.50/0.91 X ) ],
% 0.50/0.91 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.50/0.91 X ) ],
% 0.50/0.91 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.50/0.91 ) ],
% 0.50/0.91 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.50/0.91 ) ],
% 0.50/0.91 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.50/0.91 ) ],
% 0.50/0.91 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.50/0.91 ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.50/0.91 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.50/0.91 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.50/0.91 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.50/0.91 ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.50/0.91 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.50/0.91 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.50/0.91 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.50/0.91 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.50/0.91 ) ],
% 0.50/0.91 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.50/0.91 cons( Y, X ) ) ],
% 0.50/0.91 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.50/0.91 cons( Y, X ) ) ],
% 0.50/0.91 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.50/0.91 singletonP( Y ) ],
% 0.50/0.91 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.50/0.91 , X ) ],
% 0.50/0.91 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.50/0.91 , Y ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.50/0.91 X, Y ) ) ],
% 0.50/0.91 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.50/0.91 , Y ) ],
% 0.50/0.91 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.50/0.91 , Y ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.50/0.91 , hd( Y ) ) ],
% 0.50/0.91 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.50/0.91 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.50/0.91 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.50/0.91 , totalorderedP( Y ), =( nil, Y ) ],
% 0.50/0.91 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.50/0.91 , =( Y, X ) ],
% 0.50/0.91 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.50/0.91 ssList( Y ) ), =( Y, X ) ],
% 0.50/0.91 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.50/0.91 ssList( Y ) ), =( Y, X ) ],
% 0.50/0.91 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.50/0.91 ssList( Y ) ), =( Y, X ) ],
% 0.50/0.91 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.50/0.91 , =( Y, X ) ],
% 0.50/0.91 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.50/0.91 skaf46( X, Y ), Y ), X ) ],
% 0.50/0.91 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.50/0.91 , skaf45( X, Y ) ), X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.50/0.91 , app( tl( Y ), X ) ) ],
% 0.50/0.91 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.50/0.91 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.50/0.91 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.50/0.91 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.50/0.91 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.50/0.91 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.50/0.91 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.50/0.91 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.50/0.91 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.50/0.91 memberP( cons( Y, Z ), X ) ],
% 0.50/0.91 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.50/0.91 ) ), memberP( cons( Z, X ), Y ) ],
% 0.50/0.91 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.50/0.91 ) ), memberP( app( X, Z ), Y ) ],
% 0.50/0.91 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.50/0.91 ) ), memberP( app( Z, X ), Y ) ],
% 0.50/0.91 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.50/0.91 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.50/0.91 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.50/0.91 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.50/0.91 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.50/0.91 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.50/0.91 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.50/0.91 , =( app( X, Y ), nil ) ],
% 0.50/0.91 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.50/0.91 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.50/0.91 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.50/0.91 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.50/0.91 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.50/0.91 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.50/0.91 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.50/0.91 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.50/0.91 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.50/0.91 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.50/0.91 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.50/0.91 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.50/0.91 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.50/0.91 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.50/0.91 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.50/0.91 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.50/0.91 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.50/0.91 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.50/0.91 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.50/0.91 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.50/0.91 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.50/0.91 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.50/0.91 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.50/0.91 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.50/0.91 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.50/0.91 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.50/0.91 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.50/0.91 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.50/0.91 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.50/0.91 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.50/0.91 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.50/0.91 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.50/0.91 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.50/0.91 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.50/0.91 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.50/0.91 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.50/0.91 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.50/0.91 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.50/0.91 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.50/0.91 ,
% 0.50/0.91 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.50/0.91 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.50/0.91 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.50/0.91 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.50/0.91 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.50/0.91 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.50/0.91 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.50/0.91 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.50/0.91 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.52/0.99 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.52/0.99 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.52/0.99 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.52/0.99 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.52/0.99 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.52/0.99 ,
% 0.52/0.99 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.52/0.99 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.52/0.99 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.52/0.99 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.52/0.99 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.52/0.99 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.52/0.99 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.52/0.99 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.52/0.99 T, Y ) ) ],
% 0.52/0.99 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.52/0.99 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.52/0.99 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.52/0.99 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.52/0.99 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.52/0.99 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.52/0.99 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.52/0.99 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.52/0.99 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.52/0.99 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.52/0.99 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.52/0.99 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.52/0.99 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.52/0.99 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.52/0.99 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.52/0.99 ,
% 0.52/0.99 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.52/0.99 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.52/0.99 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.52/0.99 ,
% 0.52/0.99 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.52/0.99 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.52/0.99 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.52/0.99 W ) ) ],
% 0.52/0.99 [ ssList( sk1 ) ],
% 0.52/0.99 [ ssList( sk2 ) ],
% 0.52/0.99 [ ssList( sk3 ) ],
% 0.52/0.99 [ ssList( sk4 ) ],
% 0.52/0.99 [ =( sk2, sk4 ) ],
% 0.52/0.99 [ =( sk1, sk3 ) ],
% 0.52/0.99 [ ~( strictorderedP( sk1 ) ) ],
% 0.52/0.99 [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ],
% 0.52/0.99 [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ],
% 0.52/0.99 [ =( cons( sk5, nil ), sk3 ), ~( neq( sk4, nil ) ) ],
% 0.52/0.99 [ memberP( sk4, sk5 ), ~( neq( sk4, nil ) ) ]
% 0.52/0.99 ] .
% 0.52/0.99
% 0.52/0.99
% 0.52/0.99 percentage equality = 0.164474, percentage horn = 0.844560
% 0.52/0.99 This is a problem with some equality
% 0.52/0.99
% 0.52/0.99
% 0.52/0.99
% 0.52/0.99 Options Used:
% 0.52/0.99
% 0.52/0.99 useres = 1
% 0.52/0.99 useparamod = 1
% 0.52/0.99 useeqrefl = 1
% 0.52/0.99 useeqfact = 1
% 0.52/0.99 usefactor = 1
% 0.52/0.99 usesimpsplitting = 0
% 0.52/0.99 usesimpdemod = 5
% 0.52/0.99 usesimpres = 3
% 0.52/0.99
% 0.52/0.99 resimpinuse = 1000
% 0.52/0.99 resimpclauses = 20000
% 0.52/0.99 substype = eqrewr
% 0.52/0.99 backwardsubs = 1
% 0.52/0.99 selectoldest = 5
% 0.52/0.99
% 0.52/0.99 litorderings [0] = split
% 0.52/0.99 litorderings [1] = extend the termordering, first sorting on arguments
% 0.52/0.99
% 0.52/0.99 termordering = kbo
% 0.52/0.99
% 0.52/0.99 litapriori = 0
% 0.52/0.99 termapriori = 1
% 0.52/0.99 litaposteriori = 0
% 0.52/0.99 termaposteriori = 0
% 0.52/0.99 demodaposteriori = 0
% 0.52/0.99 ordereqreflfact = 0
% 0.52/0.99
% 0.52/0.99 litselect = negord
% 0.52/0.99
% 0.52/0.99 maxweight = 15
% 0.52/0.99 maxdepth = 30000
% 0.52/0.99 maxlength = 115
% 0.52/0.99 maxnrvars = 195
% 0.52/0.99 excuselevel = 1
% 0.52/0.99 increasemaxweight = 1
% 0.52/0.99
% 0.52/0.99 maxselected = 10000000
% 0.52/0.99 maxnrclauses = 10000000
% 0.52/0.99
% 0.52/0.99 showgenerated = 0
% 0.52/0.99 showkept = 0
% 0.52/0.99 showselected = 0
% 0.52/0.99 showdeleted = 0
% 0.52/0.99 showresimp = 1
% 0.52/0.99 showstatus = 2000
% 0.52/0.99
% 0.52/0.99 prologoutput = 1
% 0.52/0.99 nrgoals = 5000000
% 0.52/0.99 totalproof = 1
% 0.52/0.99
% 0.52/0.99 Symbols occurring in the translation:
% 0.52/0.99
% 0.52/0.99 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.52/0.99 . [1, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.90/2.36 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 1.90/2.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.90/2.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.90/2.36 nil [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.90/2.36 equalelemsP [40, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.90/2.36 duplicatefreeP [41, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.90/2.36 strictorderedP [42, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.90/2.36 totalorderedP [43, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.90/2.36 strictorderP [44, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.90/2.36 totalorderP [45, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.90/2.36 cyclefreeP [46, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.90/2.36 ssList [47, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.90/2.36 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.90/2.36 ssItem [49, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.90/2.36 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.90/2.36 singletonP [51, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.90/2.36 skaf83 [53, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.90/2.36 skaf82 [54, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.90/2.36 skaf81 [55, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.90/2.36 skaf80 [56, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.90/2.36 skaf79 [57, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.90/2.36 skaf78 [58, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.90/2.36 skaf77 [59, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.90/2.36 skaf76 [60, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.90/2.36 skaf75 [61, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.90/2.36 skaf74 [62, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.90/2.36 skaf73 [63, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.90/2.36 skaf72 [64, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.90/2.36 skaf71 [65, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.90/2.36 skaf70 [66, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.90/2.36 skaf69 [67, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.90/2.36 skaf68 [68, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.90/2.36 skaf67 [69, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.90/2.36 skaf66 [70, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.90/2.36 skaf65 [71, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.90/2.36 skaf64 [72, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.90/2.36 skaf63 [73, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.90/2.36 skaf62 [74, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.90/2.36 skaf61 [75, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.90/2.36 skaf60 [76, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.90/2.36 skaf59 [77, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.90/2.36 skaf58 [78, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.90/2.36 skaf57 [79, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.90/2.36 skaf56 [80, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.90/2.36 skaf55 [81, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.90/2.36 skaf54 [82, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.90/2.36 skaf53 [83, 1] (w:1, o:41, a:1, s:1, b:0),
% 1.90/2.36 skaf52 [84, 1] (w:1, o:40, a:1, s:1, b:0),
% 1.90/2.36 skaf51 [85, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.90/2.36 skaf50 [86, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.90/2.36 skaf49 [87, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.90/2.36 skaf44 [88, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.90/2.36 skaf48 [90, 2] (w:1, o:105, a:1, s:1, b:0),
% 1.90/2.36 skaf47 [91, 2] (w:1, o:104, a:1, s:1, b:0),
% 1.90/2.36 skaf46 [92, 2] (w:1, o:103, a:1, s:1, b:0),
% 1.90/2.36 skaf45 [93, 2] (w:1, o:102, a:1, s:1, b:0),
% 1.90/2.36 skaf43 [94, 2] (w:1, o:107, a:1, s:1, b:0),
% 1.90/2.36 skaf42 [95, 2] (w:1, o:106, a:1, s:1, b:0),
% 1.90/2.36 geq [96, 2] (w:1, o:109, a:1, s:1, b:0),
% 1.90/2.36 segmentP [97, 2] (w:1, o:110, a:1, s:1, b:0),
% 1.90/2.36 rearsegP [98, 2] (w:1, o:101, a:1, s:1, b:0),
% 1.90/2.36 frontsegP [99, 2] (w:1, o:108, a:1, s:1, b:0),
% 1.90/2.36 leq [100, 2] (w:1, o:111, a:1, s:1, b:0),
% 1.90/2.36 lt [101, 2] (w:1, o:112, a:1, s:1, b:0),
% 1.90/2.36 cons [102, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.90/2.36 memberP [103, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.90/2.36 app [104, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.90/2.36 tl [105, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.90/2.36 hd [106, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.90/2.36 neq [107, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.90/2.36 gt [108, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.90/2.36 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.90/2.36 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.90/2.36 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.90/2.36 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.90/2.36 sk5 [117, 0] (w:1, o:11, a:1, s:1, b:0).
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Starting Search:
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Intermediate Status:
% 1.90/2.36 Generated: 4151
% 1.90/2.36 Kept: 2092
% 1.90/2.36 Inuse: 204
% 1.90/2.36 Deleted: 2
% 1.90/2.36 Deletedinuse: 0
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Intermediate Status:
% 1.90/2.36 Generated: 8879
% 1.90/2.36 Kept: 4662
% 1.90/2.36 Inuse: 283
% 1.90/2.36 Deleted: 9
% 1.90/2.36 Deletedinuse: 1
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Intermediate Status:
% 1.90/2.36 Generated: 16499
% 1.90/2.36 Kept: 6719
% 1.90/2.36 Inuse: 401
% 1.90/2.36 Deleted: 183
% 1.90/2.36 Deletedinuse: 163
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Intermediate Status:
% 1.90/2.36 Generated: 23231
% 1.90/2.36 Kept: 8720
% 1.90/2.36 Inuse: 479
% 1.90/2.36 Deleted: 187
% 1.90/2.36 Deletedinuse: 163
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Intermediate Status:
% 1.90/2.36 Generated: 33111
% 1.90/2.36 Kept: 10721
% 1.90/2.36 Inuse: 544
% 1.90/2.36 Deleted: 187
% 1.90/2.36 Deletedinuse: 163
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Intermediate Status:
% 1.90/2.36 Generated: 48297
% 1.90/2.36 Kept: 13149
% 1.90/2.36 Inuse: 608
% 1.90/2.36 Deleted: 191
% 1.90/2.36 Deletedinuse: 163
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Intermediate Status:
% 1.90/2.36 Generated: 57387
% 1.90/2.36 Kept: 15174
% 1.90/2.36 Inuse: 633
% 1.90/2.36 Deleted: 195
% 1.90/2.36 Deletedinuse: 163
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Intermediate Status:
% 1.90/2.36 Generated: 77581
% 1.90/2.36 Kept: 17185
% 1.90/2.36 Inuse: 649
% 1.90/2.36 Deleted: 205
% 1.90/2.36 Deletedinuse: 163
% 1.90/2.36
% 1.90/2.36 Resimplifying inuse:
% 1.90/2.36 Done
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 Bliksems!, er is een bewijs:
% 1.90/2.36 % SZS status Unsatisfiable
% 1.90/2.36 % SZS output start Refutation
% 1.90/2.36
% 1.90/2.36 clause( 2, [ strictorderedP( nil ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 7, [ ssList( nil ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 65, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 1.90/2.36 )
% 1.90/2.36 .
% 1.90/2.36 clause( 183, [ ssList( sk2 ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 186, [ =( sk4, sk2 ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 187, [ =( sk3, sk1 ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 188, [ ~( strictorderedP( sk1 ) ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 190, [ ssItem( sk5 ), ~( neq( sk2, nil ) ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 191, [ =( cons( sk5, nil ), sk1 ), ~( neq( sk2, nil ) ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 2458, [ ~( neq( sk2, nil ) ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 3079, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 3756, [ =( nil, sk2 ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 3895, [ strictorderedP( sk2 ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 17875, [ =( sk2, sk1 ) ] )
% 1.90/2.36 .
% 1.90/2.36 clause( 18021, [] )
% 1.90/2.36 .
% 1.90/2.36
% 1.90/2.36
% 1.90/2.36 % SZS output end Refutation
% 1.90/2.36 found a proof!
% 1.90/2.36
% 1.90/2.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.90/2.36
% 1.90/2.36 initialclauses(
% 1.90/2.36 [ clause( 18023, [ equalelemsP( nil ) ] )
% 1.90/2.36 , clause( 18024, [ duplicatefreeP( nil ) ] )
% 1.90/2.36 , clause( 18025, [ strictorderedP( nil ) ] )
% 1.90/2.36 , clause( 18026, [ totalorderedP( nil ) ] )
% 1.90/2.36 , clause( 18027, [ strictorderP( nil ) ] )
% 1.90/2.36 , clause( 18028, [ totalorderP( nil ) ] )
% 1.90/2.36 , clause( 18029, [ cyclefreeP( nil ) ] )
% 1.90/2.36 , clause( 18030, [ ssList( nil ) ] )
% 1.90/2.36 , clause( 18031, [ ssItem( skac3 ) ] )
% 1.90/2.36 , clause( 18032, [ ssItem( skac2 ) ] )
% 1.90/2.36 , clause( 18033, [ ~( singletonP( nil ) ) ] )
% 1.90/2.36 , clause( 18034, [ ssItem( skaf83( X ) ) ] )
% 1.90/2.36 , clause( 18035, [ ssList( skaf82( X ) ) ] )
% 1.90/2.36 , clause( 18036, [ ssList( skaf81( X ) ) ] )
% 1.90/2.36 , clause( 18037, [ ssList( skaf80( X ) ) ] )
% 1.90/2.36 , clause( 18038, [ ssItem( skaf79( X ) ) ] )
% 1.90/2.36 , clause( 18039, [ ssItem( skaf78( X ) ) ] )
% 1.90/2.36 , clause( 18040, [ ssList( skaf77( X ) ) ] )
% 1.90/2.36 , clause( 18041, [ ssList( skaf76( X ) ) ] )
% 1.90/2.36 , clause( 18042, [ ssList( skaf75( X ) ) ] )
% 1.90/2.36 , clause( 18043, [ ssItem( skaf74( X ) ) ] )
% 1.90/2.36 , clause( 18044, [ ssList( skaf73( X ) ) ] )
% 1.90/2.36 , clause( 18045, [ ssList( skaf72( X ) ) ] )
% 1.90/2.36 , clause( 18046, [ ssList( skaf71( X ) ) ] )
% 1.90/2.37 , clause( 18047, [ ssItem( skaf70( X ) ) ] )
% 1.90/2.37 , clause( 18048, [ ssItem( skaf69( X ) ) ] )
% 1.90/2.37 , clause( 18049, [ ssList( skaf68( X ) ) ] )
% 1.90/2.37 , clause( 18050, [ ssList( skaf67( X ) ) ] )
% 1.90/2.37 , clause( 18051, [ ssList( skaf66( X ) ) ] )
% 1.90/2.37 , clause( 18052, [ ssItem( skaf65( X ) ) ] )
% 1.90/2.37 , clause( 18053, [ ssItem( skaf64( X ) ) ] )
% 1.90/2.37 , clause( 18054, [ ssList( skaf63( X ) ) ] )
% 1.90/2.37 , clause( 18055, [ ssList( skaf62( X ) ) ] )
% 1.90/2.37 , clause( 18056, [ ssList( skaf61( X ) ) ] )
% 1.90/2.37 , clause( 18057, [ ssItem( skaf60( X ) ) ] )
% 1.90/2.37 , clause( 18058, [ ssItem( skaf59( X ) ) ] )
% 1.90/2.37 , clause( 18059, [ ssList( skaf58( X ) ) ] )
% 1.90/2.37 , clause( 18060, [ ssList( skaf57( X ) ) ] )
% 1.90/2.37 , clause( 18061, [ ssList( skaf56( X ) ) ] )
% 1.90/2.37 , clause( 18062, [ ssItem( skaf55( X ) ) ] )
% 1.90/2.37 , clause( 18063, [ ssItem( skaf54( X ) ) ] )
% 1.90/2.37 , clause( 18064, [ ssList( skaf53( X ) ) ] )
% 1.90/2.37 , clause( 18065, [ ssList( skaf52( X ) ) ] )
% 1.90/2.37 , clause( 18066, [ ssList( skaf51( X ) ) ] )
% 1.90/2.37 , clause( 18067, [ ssItem( skaf50( X ) ) ] )
% 1.90/2.37 , clause( 18068, [ ssItem( skaf49( X ) ) ] )
% 1.90/2.37 , clause( 18069, [ ssItem( skaf44( X ) ) ] )
% 1.90/2.37 , clause( 18070, [ ssList( skaf48( X, Y ) ) ] )
% 1.90/2.37 , clause( 18071, [ ssList( skaf47( X, Y ) ) ] )
% 1.90/2.37 , clause( 18072, [ ssList( skaf46( X, Y ) ) ] )
% 1.90/2.37 , clause( 18073, [ ssList( skaf45( X, Y ) ) ] )
% 1.90/2.37 , clause( 18074, [ ssList( skaf43( X, Y ) ) ] )
% 1.90/2.37 , clause( 18075, [ ssList( skaf42( X, Y ) ) ] )
% 1.90/2.37 , clause( 18076, [ ~( =( skac3, skac2 ) ) ] )
% 1.90/2.37 , clause( 18077, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 1.90/2.37 , clause( 18078, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 1.90/2.37 , clause( 18079, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 1.90/2.37 , clause( 18080, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 1.90/2.37 , clause( 18081, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 1.90/2.37 , clause( 18082, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 1.90/2.37 , clause( 18083, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.90/2.37 , clause( 18084, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 1.90/2.37 , clause( 18085, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 1.90/2.37 , clause( 18086, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 1.90/2.37 , clause( 18087, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 1.90/2.37 , clause( 18088, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 1.90/2.37 , clause( 18089, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 1.90/2.37 , clause( 18090, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 1.90/2.37 , clause( 18091, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 1.90/2.37 , clause( 18092, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 1.90/2.37 , clause( 18093, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 1.90/2.37 , clause( 18094, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 1.90/2.37 , clause( 18095, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 1.90/2.37 , clause( 18096, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 1.90/2.37 , clause( 18097, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 1.90/2.37 , clause( 18098, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 1.90/2.37 , clause( 18099, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 1.90/2.37 , clause( 18100, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 1.90/2.37 , clause( 18101, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 1.90/2.37 )
% 1.90/2.37 , clause( 18102, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.90/2.37 )
% 1.90/2.37 , clause( 18103, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 1.90/2.37 )
% 1.90/2.37 , clause( 18104, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.90/2.37 )
% 1.90/2.37 , clause( 18105, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 1.90/2.37 ] )
% 1.90/2.37 , clause( 18106, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 1.90/2.37 ] )
% 1.90/2.37 , clause( 18107, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 1.90/2.37 ) ] )
% 1.90/2.37 , clause( 18108, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 1.90/2.37 ) ] )
% 1.90/2.37 , clause( 18109, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 1.90/2.37 skaf49( X ) ) ] )
% 1.90/2.37 , clause( 18110, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 1.90/2.37 skaf50( X ) ) ] )
% 1.90/2.37 , clause( 18111, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 1.90/2.37 equalelemsP( X ) ] )
% 1.90/2.37 , clause( 18112, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 1.90/2.37 strictorderedP( X ) ] )
% 1.90/2.37 , clause( 18113, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 1.90/2.37 totalorderedP( X ) ] )
% 1.90/2.37 , clause( 18114, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 1.90/2.37 strictorderP( X ) ] )
% 1.90/2.37 , clause( 18115, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 1.90/2.37 strictorderP( X ) ] )
% 1.90/2.37 , clause( 18116, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 1.90/2.37 totalorderP( X ) ] )
% 1.90/2.37 , clause( 18117, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 1.90/2.37 totalorderP( X ) ] )
% 1.90/2.37 , clause( 18118, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 1.90/2.37 ), Y ) ] )
% 1.90/2.37 , clause( 18119, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 1.90/2.37 ), X ) ] )
% 1.90/2.37 , clause( 18120, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 1.90/2.37 Y ) ) ] )
% 1.90/2.37 , clause( 18121, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 1.90/2.37 Y ) ) ] )
% 1.90/2.37 , clause( 18122, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 1.90/2.37 ) ] )
% 1.90/2.37 , clause( 18123, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 1.90/2.37 X ), nil ), X ) ] )
% 1.90/2.37 , clause( 18124, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 1.90/2.37 ) ] )
% 1.90/2.37 , clause( 18125, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 1.90/2.37 X, Y ) ] )
% 1.90/2.37 , clause( 18126, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 1.90/2.37 nil, X ) ] )
% 1.90/2.37 , clause( 18127, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.90/2.37 Y, X ) ] )
% 1.90/2.37 , clause( 18128, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 1.90/2.37 Y, X ) ] )
% 1.90/2.37 , clause( 18129, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 1.90/2.37 leq( Y, X ) ] )
% 1.90/2.37 , clause( 18130, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 1.90/2.37 geq( Y, X ) ] )
% 1.90/2.37 , clause( 18131, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 1.90/2.37 ), =( nil, X ) ] )
% 1.90/2.37 , clause( 18132, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 1.90/2.37 ssItem( Y ) ) ] )
% 1.90/2.37 , clause( 18133, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 1.90/2.37 ssItem( X ) ) ] )
% 1.90/2.37 , clause( 18134, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 1.90/2.37 strictorderedP( cons( Y, X ) ) ] )
% 1.90/2.37 , clause( 18135, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 1.90/2.37 totalorderedP( cons( Y, X ) ) ] )
% 1.90/2.37 , clause( 18136, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 1.90/2.37 ssItem( Y ) ) ] )
% 1.90/2.37 , clause( 18137, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 1.90/2.37 ssList( X ) ) ] )
% 1.90/2.37 , clause( 18138, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 1.90/2.37 Y ) ), singletonP( Y ) ] )
% 1.90/2.37 , clause( 18139, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 1.90/2.37 ssItem( X ) ) ] )
% 1.90/2.37 , clause( 18140, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 1.90/2.37 X ) ), =( nil, X ) ] )
% 1.90/2.37 , clause( 18141, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 1.90/2.37 X ) ), =( nil, Y ) ] )
% 1.90/2.37 , clause( 18142, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 1.90/2.37 ), Y ), cons( X, Y ) ) ] )
% 1.90/2.37 , clause( 18143, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.90/2.37 X, Y ), =( X, Y ) ] )
% 1.90/2.37 , clause( 18144, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.90/2.37 X, Y ), =( X, Y ) ] )
% 1.90/2.37 , clause( 18145, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 1.90/2.37 app( Y, X ) ), hd( Y ) ) ] )
% 1.90/2.37 , clause( 18146, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.90/2.37 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 1.90/2.37 , clause( 18147, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.90/2.37 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 1.90/2.37 , clause( 18148, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 1.90/2.37 ~( ssItem( Y ) ), =( Y, X ) ] )
% 1.90/2.37 , clause( 18149, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 1.90/2.37 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.90/2.37 , clause( 18150, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 1.90/2.37 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.90/2.37 , clause( 18151, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 1.90/2.37 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.90/2.37 , clause( 18152, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 1.90/2.37 ~( ssItem( Y ) ), =( Y, X ) ] )
% 1.90/2.37 , clause( 18153, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.90/2.37 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 1.90/2.37 , clause( 18154, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.90/2.37 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 1.90/2.37 , clause( 18155, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 1.90/2.37 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 1.90/2.37 , clause( 18156, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.90/2.37 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 1.90/2.37 , clause( 18157, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.90/2.37 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 1.90/2.37 , clause( 18158, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 1.90/2.37 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 1.90/2.37 , clause( 18159, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 1.90/2.37 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 1.90/2.37 , clause( 18160, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 1.90/2.37 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 1.90/2.37 , clause( 18161, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 1.90/2.37 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 1.90/2.37 , clause( 18162, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 1.90/2.37 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 1.90/2.37 , clause( 18163, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 1.90/2.37 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 1.90/2.37 , clause( 18164, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 1.90/2.37 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 1.90/2.37 , clause( 18165, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 1.90/2.37 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 1.90/2.37 , clause( 18166, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 1.90/2.37 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 1.90/2.37 , clause( 18167, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 1.90/2.37 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.90/2.37 , clause( 18168, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.90/2.37 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 1.90/2.37 , clause( 18169, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.90/2.37 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 1.90/2.37 , clause( 18170, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 1.90/2.37 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 1.90/2.37 , clause( 18171, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.90/2.37 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 1.90/2.37 , clause( 18172, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 1.90/2.37 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 1.90/2.37 , clause( 18173, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 1.90/2.37 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 1.90/2.37 , clause( 18174, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 1.90/2.37 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 1.90/2.37 , clause( 18175, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 1.90/2.37 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 1.90/2.37 , clause( 18176, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 1.90/2.37 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 1.90/2.37 , clause( 18177, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.90/2.37 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 1.90/2.37 , clause( 18178, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 1.90/2.37 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 1.90/2.37 , clause( 18179, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.90/2.37 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 1.90/2.37 , clause( 18180, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 1.90/2.37 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 1.90/2.37 , clause( 18181, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 1.90/2.37 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 1.90/2.37 ) ] )
% 1.90/2.37 , clause( 18182, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 1.90/2.37 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 1.90/2.37 Y ) ] )
% 1.90/2.37 , clause( 18183, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 1.90/2.37 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 1.90/2.37 , clause( 18184, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 1.90/2.37 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 1.90/2.37 skaf77( X ) ) ), X ) ] )
% 1.90/2.37 , clause( 18185, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 1.90/2.37 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 1.90/2.37 skaf73( X ) ) ), X ) ] )
% 1.90/2.37 , clause( 18186, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 1.90/2.37 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 1.90/2.37 skaf68( X ) ) ), X ) ] )
% 1.90/2.37 , clause( 18187, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 1.90/2.37 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 1.90/2.37 ), X ) ] )
% 1.90/2.37 , clause( 18188, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 1.90/2.37 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 1.90/2.37 ), X ) ] )
% 1.90/2.37 , clause( 18189, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 1.90/2.37 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 1.90/2.37 ), X ) ] )
% 1.90/2.37 , clause( 18190, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.90/2.37 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 1.90/2.37 , clause( 18191, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 1.90/2.37 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 1.90/2.37 , clause( 18192, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 1.90/2.37 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 1.90/2.37 , clause( 18193, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 1.90/2.37 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 1.90/2.37 , clause( 18194, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 1.90/2.37 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 1.90/2.37 Y ) ] )
% 1.90/2.37 , clause( 18195, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 1.90/2.37 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 1.90/2.37 )
% 1.90/2.37 , clause( 18196, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 1.90/2.37 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 1.90/2.37 , T ) ] )
% 1.90/2.37 , clause( 18197, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 1.90/2.37 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 1.90/2.37 )
% 1.90/2.37 , clause( 18198, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 1.90/2.37 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 1.90/2.37 )
% 1.90/2.37 , clause( 18199, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 1.90/2.37 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 1.90/2.37 )
% 1.90/2.37 , clause( 18200, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 1.90/2.37 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 1.90/2.37 Z, X ), cons( T, Y ) ) ] )
% 1.90/2.37 , clause( 18201, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 1.90/2.37 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 1.90/2.37 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 1.90/2.37 , clause( 18202, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 1.90/2.37 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 1.90/2.37 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 1.90/2.37 , clause( 18203, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.90/2.37 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.90/2.37 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 1.90/2.37 ) ] )
% 1.90/2.37 , clause( 18204, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.90/2.37 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.90/2.37 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 1.90/2.37 ) ] )
% 1.90/2.37 , clause( 18205, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.90/2.37 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.90/2.37 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 1.90/2.37 , lt( T, Y ) ] )
% 1.90/2.37 , clause( 18206, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.90/2.37 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.90/2.37 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 1.90/2.37 , leq( T, Y ) ] )
% 1.90/2.37 , clause( 18207, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 1.90/2.37 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 1.90/2.37 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 1.90/2.37 ) ), ~( ssList( W ) ) ] )
% 1.90/2.37 , clause( 18208, [ ssList( sk1 ) ] )
% 1.90/2.37 , clause( 18209, [ ssList( sk2 ) ] )
% 1.90/2.37 , clause( 18210, [ ssList( sk3 ) ] )
% 1.90/2.37 , clause( 18211, [ ssList( sk4 ) ] )
% 1.90/2.37 , clause( 18212, [ =( sk2, sk4 ) ] )
% 1.90/2.37 , clause( 18213, [ =( sk1, sk3 ) ] )
% 1.90/2.37 , clause( 18214, [ ~( strictorderedP( sk1 ) ) ] )
% 1.90/2.37 , clause( 18215, [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ] )
% 1.90/2.37 , clause( 18216, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 1.90/2.37 , clause( 18217, [ =( cons( sk5, nil ), sk3 ), ~( neq( sk4, nil ) ) ] )
% 1.90/2.37 , clause( 18218, [ memberP( sk4, sk5 ), ~( neq( sk4, nil ) ) ] )
% 1.90/2.37 ] ).
% 1.90/2.37
% 1.90/2.37
% 1.90/2.37
% 1.90/2.37 subsumption(
% 1.90/2.37 clause( 2, [ strictorderedP( nil ) ] )
% 1.90/2.37 , clause( 18025, [ strictorderedP( nil ) ] )
% 1.90/2.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.90/2.37
% 1.90/2.37
% 1.90/2.37 subsumption(
% 1.90/2.37 clause( 7, [ ssList( nil ) ] )
% 1.90/2.37 , clause( 18030, [ ssList( nil ) ] )
% 1.90/2.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.90/2.37
% 1.90/2.37
% 1.90/2.37 subsumption(
% 1.90/2.37 clause( 65, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 1.90/2.37 , clause( 18088, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 2.00/2.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.00/2.40 1 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 2.00/2.40 )
% 2.00/2.40 , clause( 18122, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.00/2.40 ) ] )
% 2.00/2.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.00/2.40 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 183, [ ssList( sk2 ) ] )
% 2.00/2.40 , clause( 18209, [ ssList( sk2 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 eqswap(
% 2.00/2.40 clause( 19755, [ =( sk4, sk2 ) ] )
% 2.00/2.40 , clause( 18212, [ =( sk2, sk4 ) ] )
% 2.00/2.40 , 0, substitution( 0, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 186, [ =( sk4, sk2 ) ] )
% 2.00/2.40 , clause( 19755, [ =( sk4, sk2 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 eqswap(
% 2.00/2.40 clause( 20514, [ =( sk3, sk1 ) ] )
% 2.00/2.40 , clause( 18213, [ =( sk1, sk3 ) ] )
% 2.00/2.40 , 0, substitution( 0, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 187, [ =( sk3, sk1 ) ] )
% 2.00/2.40 , clause( 20514, [ =( sk3, sk1 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 188, [ ~( strictorderedP( sk1 ) ) ] )
% 2.00/2.40 , clause( 18214, [ ~( strictorderedP( sk1 ) ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 22431, [ =( nil, sk1 ), ~( =( nil, sk4 ) ) ] )
% 2.00/2.40 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.00/2.40 , 0, clause( 18215, [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ] )
% 2.00/2.40 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 22432, [ ~( =( nil, sk2 ) ), =( nil, sk1 ) ] )
% 2.00/2.40 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.00/2.40 , 0, clause( 22431, [ =( nil, sk1 ), ~( =( nil, sk4 ) ) ] )
% 2.00/2.40 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 2.00/2.40 , clause( 22432, [ ~( =( nil, sk2 ) ), =( nil, sk1 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.00/2.40 ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 23417, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 2.00/2.40 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.00/2.40 , 0, clause( 18216, [ ssItem( sk5 ), ~( neq( sk4, nil ) ) ] )
% 2.00/2.40 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 190, [ ssItem( sk5 ), ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , clause( 23417, [ ~( neq( sk2, nil ) ), ssItem( sk5 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.00/2.40 ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 24600, [ =( cons( sk5, nil ), sk1 ), ~( neq( sk4, nil ) ) ] )
% 2.00/2.40 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.00/2.40 , 0, clause( 18217, [ =( cons( sk5, nil ), sk3 ), ~( neq( sk4, nil ) ) ] )
% 2.00/2.40 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 24601, [ ~( neq( sk2, nil ) ), =( cons( sk5, nil ), sk1 ) ] )
% 2.00/2.40 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.00/2.40 , 0, clause( 24600, [ =( cons( sk5, nil ), sk1 ), ~( neq( sk4, nil ) ) ] )
% 2.00/2.40 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 191, [ =( cons( sk5, nil ), sk1 ), ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , clause( 24601, [ ~( neq( sk2, nil ) ), =( cons( sk5, nil ), sk1 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.00/2.40 ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 resolution(
% 2.00/2.40 clause( 24604, [ strictorderedP( cons( sk5, nil ) ), ~( neq( sk2, nil ) ) ]
% 2.00/2.40 )
% 2.00/2.40 , clause( 65, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 2.00/2.40 , 0, clause( 190, [ ssItem( sk5 ), ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , 0, substitution( 0, [ :=( X, sk5 )] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 24605, [ strictorderedP( sk1 ), ~( neq( sk2, nil ) ), ~( neq( sk2,
% 2.00/2.40 nil ) ) ] )
% 2.00/2.40 , clause( 191, [ =( cons( sk5, nil ), sk1 ), ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , 0, clause( 24604, [ strictorderedP( cons( sk5, nil ) ), ~( neq( sk2, nil
% 2.00/2.40 ) ) ] )
% 2.00/2.40 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 factor(
% 2.00/2.40 clause( 24606, [ strictorderedP( sk1 ), ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , clause( 24605, [ strictorderedP( sk1 ), ~( neq( sk2, nil ) ), ~( neq( sk2
% 2.00/2.40 , nil ) ) ] )
% 2.00/2.40 , 1, 2, substitution( 0, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 resolution(
% 2.00/2.40 clause( 24607, [ ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , clause( 188, [ ~( strictorderedP( sk1 ) ) ] )
% 2.00/2.40 , 0, clause( 24606, [ strictorderedP( sk1 ), ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 2458, [ ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , clause( 24607, [ ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 eqswap(
% 2.00/2.40 clause( 24608, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X, Y )
% 2.00/2.40 ] )
% 2.00/2.40 , clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X )
% 2.00/2.40 ] )
% 2.00/2.40 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 resolution(
% 2.00/2.40 clause( 24609, [ =( nil, sk2 ), ~( ssList( nil ) ), ~( ssList( sk2 ) ) ] )
% 2.00/2.40 , clause( 2458, [ ~( neq( sk2, nil ) ) ] )
% 2.00/2.40 , 0, clause( 24608, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X
% 2.00/2.40 , Y ) ] )
% 2.00/2.40 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 ), :=( Y, nil )] )
% 2.00/2.40 ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 resolution(
% 2.00/2.40 clause( 24610, [ =( nil, sk2 ), ~( ssList( sk2 ) ) ] )
% 2.00/2.40 , clause( 24609, [ =( nil, sk2 ), ~( ssList( nil ) ), ~( ssList( sk2 ) ) ]
% 2.00/2.40 )
% 2.00/2.40 , 1, clause( 7, [ ssList( nil ) ] )
% 2.00/2.40 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 3079, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 2.00/2.40 , clause( 24610, [ =( nil, sk2 ), ~( ssList( sk2 ) ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.00/2.40 ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 resolution(
% 2.00/2.40 clause( 24613, [ =( nil, sk2 ) ] )
% 2.00/2.40 , clause( 3079, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 2.00/2.40 , 0, clause( 183, [ ssList( sk2 ) ] )
% 2.00/2.40 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 3756, [ =( nil, sk2 ) ] )
% 2.00/2.40 , clause( 24613, [ =( nil, sk2 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 24616, [ strictorderedP( sk2 ) ] )
% 2.00/2.40 , clause( 3756, [ =( nil, sk2 ) ] )
% 2.00/2.40 , 0, clause( 2, [ strictorderedP( nil ) ] )
% 2.00/2.40 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 3895, [ strictorderedP( sk2 ) ] )
% 2.00/2.40 , clause( 24616, [ strictorderedP( sk2 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 24623, [ ~( =( sk2, sk2 ) ), =( nil, sk1 ) ] )
% 2.00/2.40 , clause( 3756, [ =( nil, sk2 ) ] )
% 2.00/2.40 , 0, clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 2.00/2.40 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 24625, [ =( sk2, sk1 ), ~( =( sk2, sk2 ) ) ] )
% 2.00/2.40 , clause( 3756, [ =( nil, sk2 ) ] )
% 2.00/2.40 , 0, clause( 24623, [ ~( =( sk2, sk2 ) ), =( nil, sk1 ) ] )
% 2.00/2.40 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 eqrefl(
% 2.00/2.40 clause( 24626, [ =( sk2, sk1 ) ] )
% 2.00/2.40 , clause( 24625, [ =( sk2, sk1 ), ~( =( sk2, sk2 ) ) ] )
% 2.00/2.40 , 1, substitution( 0, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 17875, [ =( sk2, sk1 ) ] )
% 2.00/2.40 , clause( 24626, [ =( sk2, sk1 ) ] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 paramod(
% 2.00/2.40 clause( 24629, [ strictorderedP( sk1 ) ] )
% 2.00/2.40 , clause( 17875, [ =( sk2, sk1 ) ] )
% 2.00/2.40 , 0, clause( 3895, [ strictorderedP( sk2 ) ] )
% 2.00/2.40 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 resolution(
% 2.00/2.40 clause( 24630, [] )
% 2.00/2.40 , clause( 188, [ ~( strictorderedP( sk1 ) ) ] )
% 2.00/2.40 , 0, clause( 24629, [ strictorderedP( sk1 ) ] )
% 2.00/2.40 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 subsumption(
% 2.00/2.40 clause( 18021, [] )
% 2.00/2.40 , clause( 24630, [] )
% 2.00/2.40 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 end.
% 2.00/2.40
% 2.00/2.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.00/2.40
% 2.00/2.40 Memory use:
% 2.00/2.40
% 2.00/2.40 space for terms: 383839
% 2.00/2.40 space for clauses: 910800
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 clauses generated: 85193
% 2.00/2.40 clauses kept: 18022
% 2.00/2.40 clauses selected: 658
% 2.00/2.40 clauses deleted: 212
% 2.00/2.40 clauses inuse deleted: 163
% 2.00/2.40
% 2.00/2.40 subsentry: 160614
% 2.00/2.40 literals s-matched: 95229
% 2.00/2.40 literals matched: 55542
% 2.00/2.40 full subsumption: 35664
% 2.00/2.40
% 2.00/2.40 checksum: -596925438
% 2.00/2.40
% 2.00/2.40
% 2.00/2.40 Bliksem ended
%------------------------------------------------------------------------------