TSTP Solution File: SWC007-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC007-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:32:54 EDT 2022
% Result : Unsatisfiable 1.90s 2.27s
% Output : Refutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC007-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jun 12 08:22:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.74/1.14 *** allocated 10000 integers for termspace/termends
% 0.74/1.14 *** allocated 10000 integers for clauses
% 0.74/1.14 *** allocated 10000 integers for justifications
% 0.74/1.14 Bliksem 1.12
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 Automatic Strategy Selection
% 0.74/1.14
% 0.74/1.14 Clauses:
% 0.74/1.14 [
% 0.74/1.14 [ equalelemsP( nil ) ],
% 0.74/1.14 [ duplicatefreeP( nil ) ],
% 0.74/1.14 [ strictorderedP( nil ) ],
% 0.74/1.14 [ totalorderedP( nil ) ],
% 0.74/1.14 [ strictorderP( nil ) ],
% 0.74/1.14 [ totalorderP( nil ) ],
% 0.74/1.14 [ cyclefreeP( nil ) ],
% 0.74/1.14 [ ssList( nil ) ],
% 0.74/1.14 [ ssItem( skac3 ) ],
% 0.74/1.14 [ ssItem( skac2 ) ],
% 0.74/1.14 [ ~( singletonP( nil ) ) ],
% 0.74/1.14 [ ssItem( skaf83( X ) ) ],
% 0.74/1.14 [ ssList( skaf82( X ) ) ],
% 0.74/1.14 [ ssList( skaf81( X ) ) ],
% 0.74/1.14 [ ssList( skaf80( X ) ) ],
% 0.74/1.14 [ ssItem( skaf79( X ) ) ],
% 0.74/1.14 [ ssItem( skaf78( X ) ) ],
% 0.74/1.14 [ ssList( skaf77( X ) ) ],
% 0.74/1.14 [ ssList( skaf76( X ) ) ],
% 0.74/1.14 [ ssList( skaf75( X ) ) ],
% 0.74/1.14 [ ssItem( skaf74( X ) ) ],
% 0.74/1.14 [ ssList( skaf73( X ) ) ],
% 0.74/1.14 [ ssList( skaf72( X ) ) ],
% 0.74/1.14 [ ssList( skaf71( X ) ) ],
% 0.74/1.14 [ ssItem( skaf70( X ) ) ],
% 0.74/1.14 [ ssItem( skaf69( X ) ) ],
% 0.74/1.14 [ ssList( skaf68( X ) ) ],
% 0.74/1.14 [ ssList( skaf67( X ) ) ],
% 0.74/1.14 [ ssList( skaf66( X ) ) ],
% 0.74/1.14 [ ssItem( skaf65( X ) ) ],
% 0.74/1.14 [ ssItem( skaf64( X ) ) ],
% 0.74/1.14 [ ssList( skaf63( X ) ) ],
% 0.74/1.14 [ ssList( skaf62( X ) ) ],
% 0.74/1.14 [ ssList( skaf61( X ) ) ],
% 0.74/1.14 [ ssItem( skaf60( X ) ) ],
% 0.74/1.14 [ ssItem( skaf59( X ) ) ],
% 0.74/1.14 [ ssList( skaf58( X ) ) ],
% 0.74/1.14 [ ssList( skaf57( X ) ) ],
% 0.74/1.14 [ ssList( skaf56( X ) ) ],
% 0.74/1.14 [ ssItem( skaf55( X ) ) ],
% 0.74/1.14 [ ssItem( skaf54( X ) ) ],
% 0.74/1.14 [ ssList( skaf53( X ) ) ],
% 0.74/1.14 [ ssList( skaf52( X ) ) ],
% 0.74/1.14 [ ssList( skaf51( X ) ) ],
% 0.74/1.14 [ ssItem( skaf50( X ) ) ],
% 0.74/1.14 [ ssItem( skaf49( X ) ) ],
% 0.74/1.14 [ ssItem( skaf44( X ) ) ],
% 0.74/1.14 [ ssList( skaf48( X, Y ) ) ],
% 0.74/1.14 [ ssList( skaf47( X, Y ) ) ],
% 0.74/1.14 [ ssList( skaf46( X, Y ) ) ],
% 0.74/1.14 [ ssList( skaf45( X, Y ) ) ],
% 0.74/1.14 [ ssList( skaf43( X, Y ) ) ],
% 0.74/1.14 [ ssList( skaf42( X, Y ) ) ],
% 0.74/1.14 [ ~( =( skac3, skac2 ) ) ],
% 0.74/1.14 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.74/1.14 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.74/1.14 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.74/1.14 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.74/1.14 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.74/1.14 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.74/1.15 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.74/1.15 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.74/1.15 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.74/1.15 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.74/1.15 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.74/1.15 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.74/1.15 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.74/1.15 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.74/1.15 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.74/1.15 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.74/1.15 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.74/1.15 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.74/1.15 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.74/1.15 ],
% 0.74/1.15 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.74/1.15 X ) ],
% 0.74/1.15 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.74/1.15 X ) ],
% 0.74/1.15 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.74/1.15 ) ],
% 0.74/1.15 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.74/1.15 ) ],
% 0.74/1.15 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.74/1.15 ) ],
% 0.74/1.15 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.74/1.15 ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.74/1.15 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.74/1.15 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.74/1.15 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.74/1.15 ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.74/1.15 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.74/1.15 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.74/1.15 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.74/1.15 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.74/1.15 ) ],
% 0.74/1.15 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.74/1.15 cons( Y, X ) ) ],
% 0.74/1.15 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.74/1.15 cons( Y, X ) ) ],
% 0.74/1.15 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.74/1.15 singletonP( Y ) ],
% 0.74/1.15 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.74/1.15 , X ) ],
% 0.74/1.15 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.74/1.15 , Y ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.74/1.15 X, Y ) ) ],
% 0.74/1.15 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.74/1.15 , Y ) ],
% 0.74/1.15 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.74/1.15 , Y ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.74/1.15 , hd( Y ) ) ],
% 0.74/1.15 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.74/1.15 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.74/1.15 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.74/1.15 , totalorderedP( Y ), =( nil, Y ) ],
% 0.74/1.15 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.74/1.15 , =( Y, X ) ],
% 0.74/1.15 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.74/1.15 ssList( Y ) ), =( Y, X ) ],
% 0.74/1.15 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.74/1.15 ssList( Y ) ), =( Y, X ) ],
% 0.74/1.15 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.74/1.15 ssList( Y ) ), =( Y, X ) ],
% 0.74/1.15 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.74/1.15 , =( Y, X ) ],
% 0.74/1.15 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.74/1.15 skaf46( X, Y ), Y ), X ) ],
% 0.74/1.15 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.74/1.15 , skaf45( X, Y ) ), X ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.74/1.15 , app( tl( Y ), X ) ) ],
% 0.74/1.15 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.74/1.15 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.74/1.15 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.74/1.15 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.74/1.15 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.74/1.15 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.74/1.15 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.74/1.15 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.74/1.15 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.74/1.15 memberP( cons( Y, Z ), X ) ],
% 0.74/1.15 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.74/1.15 ) ), memberP( cons( Z, X ), Y ) ],
% 0.74/1.15 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.74/1.15 ) ), memberP( app( X, Z ), Y ) ],
% 0.74/1.15 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.74/1.15 ) ), memberP( app( Z, X ), Y ) ],
% 0.74/1.15 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.74/1.15 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.74/1.15 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.74/1.15 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.74/1.15 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.74/1.15 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.74/1.15 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.74/1.15 , =( app( X, Y ), nil ) ],
% 0.74/1.15 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.74/1.15 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.74/1.15 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.74/1.15 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.74/1.15 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.74/1.15 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.74/1.15 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.74/1.15 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.74/1.15 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.74/1.15 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.74/1.15 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.74/1.15 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.74/1.15 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.74/1.15 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.74/1.15 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.74/1.15 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.74/1.15 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.74/1.15 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.74/1.15 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.74/1.15 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.74/1.15 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.74/1.15 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.74/1.15 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.74/1.15 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.74/1.15 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.74/1.15 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.74/1.15 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.74/1.15 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.74/1.15 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.74/1.15 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.74/1.15 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.74/1.15 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.74/1.15 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.74/1.15 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.74/1.15 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.74/1.15 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.74/1.15 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.74/1.15 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.74/1.15 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.74/1.15 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.74/1.15 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.74/1.15 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.74/1.15 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.74/1.15 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.74/1.15 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.74/1.15 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.74/1.15 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.80/1.32 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.80/1.32 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.80/1.32 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.80/1.32 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.80/1.32 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.80/1.32 ,
% 0.80/1.32 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.80/1.32 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.80/1.32 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.80/1.32 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.80/1.32 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.80/1.32 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.80/1.32 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.80/1.32 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.80/1.32 T, Y ) ) ],
% 0.80/1.32 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.80/1.32 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.80/1.32 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.80/1.32 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.80/1.32 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.80/1.32 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.80/1.32 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.80/1.32 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.80/1.32 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.80/1.32 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.80/1.32 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.80/1.32 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.80/1.32 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.80/1.32 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.80/1.32 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.80/1.32 ,
% 0.80/1.32 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.80/1.32 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.80/1.32 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.80/1.32 ,
% 0.80/1.32 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.80/1.32 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.80/1.32 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.80/1.32 W ) ) ],
% 0.80/1.32 [ ssList( sk1 ) ],
% 0.80/1.32 [ ssList( sk2 ) ],
% 0.80/1.32 [ ssList( sk3 ) ],
% 0.80/1.32 [ ssList( sk4 ) ],
% 0.80/1.32 [ =( nil, sk3 ) ],
% 0.80/1.32 [ =( sk2, sk4 ) ],
% 0.80/1.32 [ =( sk1, sk3 ) ],
% 0.80/1.32 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( app(
% 0.80/1.32 X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ]
% 0.80/1.32 ] .
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 percentage equality = 0.165289, percentage horn = 0.842105
% 0.80/1.32 This is a problem with some equality
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 Options Used:
% 0.80/1.32
% 0.80/1.32 useres = 1
% 0.80/1.32 useparamod = 1
% 0.80/1.32 useeqrefl = 1
% 0.80/1.32 useeqfact = 1
% 0.80/1.32 usefactor = 1
% 0.80/1.32 usesimpsplitting = 0
% 0.80/1.32 usesimpdemod = 5
% 0.80/1.32 usesimpres = 3
% 0.80/1.32
% 0.80/1.32 resimpinuse = 1000
% 0.80/1.32 resimpclauses = 20000
% 0.80/1.32 substype = eqrewr
% 0.80/1.32 backwardsubs = 1
% 0.80/1.32 selectoldest = 5
% 0.80/1.32
% 0.80/1.32 litorderings [0] = split
% 0.80/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.32
% 0.80/1.32 termordering = kbo
% 0.80/1.32
% 0.80/1.32 litapriori = 0
% 0.80/1.32 termapriori = 1
% 0.80/1.32 litaposteriori = 0
% 0.80/1.32 termaposteriori = 0
% 0.80/1.32 demodaposteriori = 0
% 0.80/1.32 ordereqreflfact = 0
% 0.80/1.32
% 0.80/1.32 litselect = negord
% 0.80/1.32
% 0.80/1.32 maxweight = 15
% 0.80/1.32 maxdepth = 30000
% 0.80/1.32 maxlength = 115
% 0.80/1.32 maxnrvars = 195
% 0.80/1.32 excuselevel = 1
% 0.80/1.32 increasemaxweight = 1
% 0.80/1.32
% 0.80/1.32 maxselected = 10000000
% 0.80/1.32 maxnrclauses = 10000000
% 0.80/1.32
% 0.80/1.32 showgenerated = 0
% 0.80/1.32 showkept = 0
% 0.80/1.32 showselected = 0
% 0.80/1.32 showdeleted = 0
% 0.80/1.32 showresimp = 1
% 0.80/1.32 showstatus = 2000
% 0.80/1.32
% 0.80/1.32 prologoutput = 1
% 0.80/1.32 nrgoals = 5000000
% 0.80/1.32 totalproof = 1
% 0.80/1.32
% 0.80/1.32 Symbols occurring in the translation:
% 0.80/1.32
% 0.80/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.32 . [1, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.80/1.32 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 0.80/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.90/2.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.90/2.27 nil [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.90/2.27 equalelemsP [40, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.90/2.27 duplicatefreeP [41, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.90/2.27 strictorderedP [42, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.90/2.27 totalorderedP [43, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.90/2.27 strictorderP [44, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.90/2.27 totalorderP [45, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.90/2.27 cyclefreeP [46, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.90/2.27 ssList [47, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.90/2.27 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.90/2.27 ssItem [49, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.90/2.27 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.90/2.27 singletonP [51, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.90/2.27 skaf83 [53, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.90/2.27 skaf82 [54, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.90/2.27 skaf81 [55, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.90/2.27 skaf80 [56, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.90/2.27 skaf79 [57, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.90/2.27 skaf78 [58, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.90/2.27 skaf77 [59, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.90/2.27 skaf76 [60, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.90/2.27 skaf75 [61, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.90/2.27 skaf74 [62, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.90/2.27 skaf73 [63, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.90/2.27 skaf72 [64, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.90/2.27 skaf71 [65, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.90/2.27 skaf70 [66, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.90/2.27 skaf69 [67, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.90/2.27 skaf68 [68, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.90/2.27 skaf67 [69, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.90/2.27 skaf66 [70, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.90/2.27 skaf65 [71, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.90/2.27 skaf64 [72, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.90/2.27 skaf63 [73, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.90/2.27 skaf62 [74, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.90/2.27 skaf61 [75, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.90/2.27 skaf60 [76, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.90/2.27 skaf59 [77, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.90/2.27 skaf58 [78, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.90/2.27 skaf57 [79, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.90/2.27 skaf56 [80, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.90/2.27 skaf55 [81, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.90/2.27 skaf54 [82, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.90/2.27 skaf53 [83, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.90/2.27 skaf52 [84, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.90/2.27 skaf51 [85, 1] (w:1, o:41, a:1, s:1, b:0),
% 1.90/2.27 skaf50 [86, 1] (w:1, o:40, a:1, s:1, b:0),
% 1.90/2.27 skaf49 [87, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.90/2.27 skaf44 [88, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.90/2.27 skaf48 [90, 2] (w:1, o:107, a:1, s:1, b:0),
% 1.90/2.27 skaf47 [91, 2] (w:1, o:106, a:1, s:1, b:0),
% 1.90/2.27 skaf46 [92, 2] (w:1, o:105, a:1, s:1, b:0),
% 1.90/2.27 skaf45 [93, 2] (w:1, o:104, a:1, s:1, b:0),
% 1.90/2.27 skaf43 [94, 2] (w:1, o:109, a:1, s:1, b:0),
% 1.90/2.27 skaf42 [95, 2] (w:1, o:108, a:1, s:1, b:0),
% 1.90/2.27 geq [96, 2] (w:1, o:111, a:1, s:1, b:0),
% 1.90/2.27 segmentP [97, 2] (w:1, o:112, a:1, s:1, b:0),
% 1.90/2.27 rearsegP [98, 2] (w:1, o:103, a:1, s:1, b:0),
% 1.90/2.27 frontsegP [99, 2] (w:1, o:110, a:1, s:1, b:0),
% 1.90/2.27 leq [100, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.90/2.27 lt [101, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.90/2.27 cons [102, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.90/2.27 memberP [103, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.90/2.27 app [104, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.90/2.27 tl [105, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.90/2.27 hd [106, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.90/2.27 neq [107, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.90/2.27 gt [108, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.90/2.27 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.90/2.27 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.90/2.27 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.90/2.27 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0).
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Starting Search:
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Intermediate Status:
% 1.90/2.27 Generated: 4404
% 1.90/2.27 Kept: 2414
% 1.90/2.27 Inuse: 266
% 1.90/2.27 Deleted: 35
% 1.90/2.27 Deletedinuse: 0
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Intermediate Status:
% 1.90/2.27 Generated: 16799
% 1.90/2.27 Kept: 4510
% 1.90/2.27 Inuse: 390
% 1.90/2.27 Deleted: 46
% 1.90/2.27 Deletedinuse: 0
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Intermediate Status:
% 1.90/2.27 Generated: 21015
% 1.90/2.27 Kept: 6638
% 1.90/2.27 Inuse: 437
% 1.90/2.27 Deleted: 49
% 1.90/2.27 Deletedinuse: 0
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Intermediate Status:
% 1.90/2.27 Generated: 30422
% 1.90/2.27 Kept: 8699
% 1.90/2.27 Inuse: 496
% 1.90/2.27 Deleted: 50
% 1.90/2.27 Deletedinuse: 0
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Intermediate Status:
% 1.90/2.27 Generated: 40128
% 1.90/2.27 Kept: 10744
% 1.90/2.27 Inuse: 569
% 1.90/2.27 Deleted: 52
% 1.90/2.27 Deletedinuse: 0
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Intermediate Status:
% 1.90/2.27 Generated: 52518
% 1.90/2.27 Kept: 12795
% 1.90/2.27 Inuse: 604
% 1.90/2.27 Deleted: 52
% 1.90/2.27 Deletedinuse: 0
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Intermediate Status:
% 1.90/2.27 Generated: 65325
% 1.90/2.27 Kept: 14804
% 1.90/2.27 Inuse: 631
% 1.90/2.27 Deleted: 53
% 1.90/2.27 Deletedinuse: 0
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Intermediate Status:
% 1.90/2.27 Generated: 85538
% 1.90/2.27 Kept: 16836
% 1.90/2.27 Inuse: 650
% 1.90/2.27 Deleted: 53
% 1.90/2.27 Deletedinuse: 0
% 1.90/2.27
% 1.90/2.27 Resimplifying inuse:
% 1.90/2.27 Done
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 Bliksems!, er is een bewijs:
% 1.90/2.27 % SZS status Unsatisfiable
% 1.90/2.27 % SZS output start Refutation
% 1.90/2.27
% 1.90/2.27 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 141, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 1.90/2.27 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 145, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app(
% 1.90/2.27 Z, app( Y, X ) ), app( app( Z, Y ), X ) ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 182, [ ssList( sk1 ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 183, [ ssList( sk2 ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 186, [ =( nil, sk3 ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 188, [ =( sk3, sk1 ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 189, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 1.90/2.27 app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 219, [ ~( ssList( X ) ), ~( =( sk1, X ) ), =( app( X, X ), sk1 ) ]
% 1.90/2.27 )
% 1.90/2.27 .
% 1.90/2.27 clause( 221, [ =( app( sk1, sk1 ), sk1 ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 329, [ =( nil, sk1 ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 640, [ ~( ssList( X ) ), =( app( X, sk1 ), X ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 641, [ ~( ssList( X ) ), =( app( sk1, X ), X ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 7662, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( app( app( Y, X ),
% 1.90/2.27 sk1 ), app( Y, X ) ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 17757, [ ~( ssList( X ) ), ~( =( X, sk2 ) ) ] )
% 1.90/2.27 .
% 1.90/2.27 clause( 17951, [] )
% 1.90/2.27 .
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 % SZS output end Refutation
% 1.90/2.27 found a proof!
% 1.90/2.27
% 1.90/2.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.90/2.27
% 1.90/2.27 initialclauses(
% 1.90/2.27 [ clause( 17953, [ equalelemsP( nil ) ] )
% 1.90/2.27 , clause( 17954, [ duplicatefreeP( nil ) ] )
% 1.90/2.27 , clause( 17955, [ strictorderedP( nil ) ] )
% 1.90/2.27 , clause( 17956, [ totalorderedP( nil ) ] )
% 1.90/2.27 , clause( 17957, [ strictorderP( nil ) ] )
% 1.90/2.27 , clause( 17958, [ totalorderP( nil ) ] )
% 1.90/2.27 , clause( 17959, [ cyclefreeP( nil ) ] )
% 1.90/2.27 , clause( 17960, [ ssList( nil ) ] )
% 1.90/2.27 , clause( 17961, [ ssItem( skac3 ) ] )
% 1.90/2.27 , clause( 17962, [ ssItem( skac2 ) ] )
% 1.90/2.27 , clause( 17963, [ ~( singletonP( nil ) ) ] )
% 1.90/2.27 , clause( 17964, [ ssItem( skaf83( X ) ) ] )
% 1.90/2.27 , clause( 17965, [ ssList( skaf82( X ) ) ] )
% 1.90/2.27 , clause( 17966, [ ssList( skaf81( X ) ) ] )
% 1.90/2.27 , clause( 17967, [ ssList( skaf80( X ) ) ] )
% 1.90/2.27 , clause( 17968, [ ssItem( skaf79( X ) ) ] )
% 1.90/2.27 , clause( 17969, [ ssItem( skaf78( X ) ) ] )
% 1.90/2.27 , clause( 17970, [ ssList( skaf77( X ) ) ] )
% 1.90/2.27 , clause( 17971, [ ssList( skaf76( X ) ) ] )
% 1.90/2.27 , clause( 17972, [ ssList( skaf75( X ) ) ] )
% 1.90/2.27 , clause( 17973, [ ssItem( skaf74( X ) ) ] )
% 1.90/2.27 , clause( 17974, [ ssList( skaf73( X ) ) ] )
% 1.90/2.27 , clause( 17975, [ ssList( skaf72( X ) ) ] )
% 1.90/2.27 , clause( 17976, [ ssList( skaf71( X ) ) ] )
% 1.90/2.27 , clause( 17977, [ ssItem( skaf70( X ) ) ] )
% 1.90/2.27 , clause( 17978, [ ssItem( skaf69( X ) ) ] )
% 1.90/2.27 , clause( 17979, [ ssList( skaf68( X ) ) ] )
% 1.90/2.27 , clause( 17980, [ ssList( skaf67( X ) ) ] )
% 1.90/2.27 , clause( 17981, [ ssList( skaf66( X ) ) ] )
% 1.90/2.27 , clause( 17982, [ ssItem( skaf65( X ) ) ] )
% 1.90/2.27 , clause( 17983, [ ssItem( skaf64( X ) ) ] )
% 1.90/2.27 , clause( 17984, [ ssList( skaf63( X ) ) ] )
% 1.90/2.27 , clause( 17985, [ ssList( skaf62( X ) ) ] )
% 1.90/2.27 , clause( 17986, [ ssList( skaf61( X ) ) ] )
% 1.90/2.27 , clause( 17987, [ ssItem( skaf60( X ) ) ] )
% 1.90/2.27 , clause( 17988, [ ssItem( skaf59( X ) ) ] )
% 1.90/2.27 , clause( 17989, [ ssList( skaf58( X ) ) ] )
% 1.90/2.27 , clause( 17990, [ ssList( skaf57( X ) ) ] )
% 1.90/2.27 , clause( 17991, [ ssList( skaf56( X ) ) ] )
% 1.90/2.27 , clause( 17992, [ ssItem( skaf55( X ) ) ] )
% 1.90/2.27 , clause( 17993, [ ssItem( skaf54( X ) ) ] )
% 1.90/2.27 , clause( 17994, [ ssList( skaf53( X ) ) ] )
% 1.90/2.27 , clause( 17995, [ ssList( skaf52( X ) ) ] )
% 1.90/2.27 , clause( 17996, [ ssList( skaf51( X ) ) ] )
% 1.90/2.27 , clause( 17997, [ ssItem( skaf50( X ) ) ] )
% 1.90/2.27 , clause( 17998, [ ssItem( skaf49( X ) ) ] )
% 1.90/2.27 , clause( 17999, [ ssItem( skaf44( X ) ) ] )
% 1.90/2.27 , clause( 18000, [ ssList( skaf48( X, Y ) ) ] )
% 1.90/2.27 , clause( 18001, [ ssList( skaf47( X, Y ) ) ] )
% 1.90/2.27 , clause( 18002, [ ssList( skaf46( X, Y ) ) ] )
% 1.90/2.27 , clause( 18003, [ ssList( skaf45( X, Y ) ) ] )
% 1.90/2.27 , clause( 18004, [ ssList( skaf43( X, Y ) ) ] )
% 1.90/2.27 , clause( 18005, [ ssList( skaf42( X, Y ) ) ] )
% 1.90/2.27 , clause( 18006, [ ~( =( skac3, skac2 ) ) ] )
% 1.90/2.27 , clause( 18007, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 1.90/2.27 , clause( 18008, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 1.90/2.27 , clause( 18009, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 1.90/2.27 , clause( 18010, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 1.90/2.27 , clause( 18011, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 1.90/2.27 , clause( 18012, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 1.90/2.27 , clause( 18013, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.90/2.27 , clause( 18014, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 1.90/2.27 , clause( 18015, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 1.90/2.27 , clause( 18016, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 1.90/2.27 , clause( 18017, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 1.90/2.27 , clause( 18018, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 1.90/2.27 , clause( 18019, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 1.90/2.27 , clause( 18020, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 1.90/2.27 , clause( 18021, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 1.90/2.27 , clause( 18022, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 1.90/2.27 , clause( 18023, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 1.90/2.27 , clause( 18024, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 1.90/2.27 , clause( 18025, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 1.90/2.27 , clause( 18026, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 1.90/2.27 , clause( 18027, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 1.90/2.27 , clause( 18028, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 1.90/2.27 , clause( 18029, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 1.90/2.27 , clause( 18030, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 1.90/2.27 , clause( 18031, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 1.90/2.27 )
% 1.90/2.27 , clause( 18032, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.90/2.27 )
% 1.90/2.27 , clause( 18033, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 1.90/2.27 )
% 1.90/2.27 , clause( 18034, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.90/2.27 )
% 1.90/2.27 , clause( 18035, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 1.90/2.27 ] )
% 1.90/2.27 , clause( 18036, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 1.90/2.27 ] )
% 1.90/2.27 , clause( 18037, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 1.90/2.27 ) ] )
% 1.90/2.27 , clause( 18038, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 1.90/2.27 ) ] )
% 1.90/2.27 , clause( 18039, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 1.90/2.27 skaf49( X ) ) ] )
% 1.90/2.27 , clause( 18040, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 1.90/2.27 skaf50( X ) ) ] )
% 1.90/2.27 , clause( 18041, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 1.90/2.27 equalelemsP( X ) ] )
% 1.90/2.27 , clause( 18042, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 1.90/2.27 strictorderedP( X ) ] )
% 1.90/2.27 , clause( 18043, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 1.90/2.27 totalorderedP( X ) ] )
% 1.90/2.27 , clause( 18044, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 1.90/2.27 strictorderP( X ) ] )
% 1.90/2.27 , clause( 18045, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 1.90/2.27 strictorderP( X ) ] )
% 1.90/2.27 , clause( 18046, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 1.90/2.27 totalorderP( X ) ] )
% 1.90/2.27 , clause( 18047, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 1.90/2.27 totalorderP( X ) ] )
% 1.90/2.27 , clause( 18048, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 1.90/2.27 ), Y ) ] )
% 1.90/2.27 , clause( 18049, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 1.90/2.27 ), X ) ] )
% 1.90/2.27 , clause( 18050, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 1.90/2.27 Y ) ) ] )
% 1.90/2.27 , clause( 18051, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 1.90/2.27 Y ) ) ] )
% 1.90/2.27 , clause( 18052, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 1.90/2.27 ) ] )
% 1.90/2.27 , clause( 18053, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 1.90/2.27 X ), nil ), X ) ] )
% 1.90/2.27 , clause( 18054, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 1.90/2.27 ) ] )
% 1.90/2.27 , clause( 18055, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 1.90/2.27 X, Y ) ] )
% 1.90/2.27 , clause( 18056, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 1.90/2.27 nil, X ) ] )
% 1.90/2.27 , clause( 18057, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.90/2.27 Y, X ) ] )
% 1.90/2.27 , clause( 18058, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 1.90/2.27 Y, X ) ] )
% 1.90/2.27 , clause( 18059, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 1.90/2.27 leq( Y, X ) ] )
% 1.90/2.27 , clause( 18060, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 1.90/2.27 geq( Y, X ) ] )
% 1.90/2.27 , clause( 18061, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 1.90/2.27 ), =( nil, X ) ] )
% 1.90/2.27 , clause( 18062, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 1.90/2.27 ssItem( Y ) ) ] )
% 1.90/2.27 , clause( 18063, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 1.90/2.27 ssItem( X ) ) ] )
% 1.90/2.27 , clause( 18064, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 1.90/2.27 strictorderedP( cons( Y, X ) ) ] )
% 1.90/2.27 , clause( 18065, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 1.90/2.27 totalorderedP( cons( Y, X ) ) ] )
% 1.90/2.27 , clause( 18066, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 1.90/2.27 ssItem( Y ) ) ] )
% 1.90/2.27 , clause( 18067, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 1.90/2.27 ssList( X ) ) ] )
% 1.90/2.27 , clause( 18068, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 1.90/2.27 Y ) ), singletonP( Y ) ] )
% 1.90/2.27 , clause( 18069, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 1.90/2.27 ssItem( X ) ) ] )
% 1.90/2.27 , clause( 18070, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 1.90/2.27 X ) ), =( nil, X ) ] )
% 1.90/2.27 , clause( 18071, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 1.90/2.27 X ) ), =( nil, Y ) ] )
% 1.90/2.27 , clause( 18072, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 1.90/2.27 ), Y ), cons( X, Y ) ) ] )
% 1.90/2.27 , clause( 18073, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.90/2.27 X, Y ), =( X, Y ) ] )
% 1.90/2.27 , clause( 18074, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.90/2.27 X, Y ), =( X, Y ) ] )
% 1.90/2.27 , clause( 18075, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 1.90/2.27 app( Y, X ) ), hd( Y ) ) ] )
% 1.90/2.27 , clause( 18076, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.90/2.27 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 1.90/2.27 , clause( 18077, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.90/2.27 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 1.90/2.27 , clause( 18078, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 1.90/2.27 ~( ssItem( Y ) ), =( Y, X ) ] )
% 1.90/2.27 , clause( 18079, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 1.90/2.27 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.90/2.27 , clause( 18080, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 1.90/2.27 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.90/2.27 , clause( 18081, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 1.90/2.27 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.90/2.27 , clause( 18082, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 1.90/2.27 ~( ssItem( Y ) ), =( Y, X ) ] )
% 1.90/2.27 , clause( 18083, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.90/2.27 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 1.90/2.27 , clause( 18084, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.90/2.27 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 1.90/2.27 , clause( 18085, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 1.90/2.27 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 1.90/2.27 , clause( 18086, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.90/2.27 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 1.90/2.27 , clause( 18087, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.90/2.27 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 1.90/2.27 , clause( 18088, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 1.90/2.27 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 1.90/2.27 , clause( 18089, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 1.90/2.27 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 1.90/2.27 , clause( 18090, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 1.90/2.27 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 1.90/2.27 , clause( 18091, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 1.90/2.27 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 1.90/2.27 , clause( 18092, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 1.90/2.27 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 1.90/2.27 , clause( 18093, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 1.90/2.27 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 1.90/2.27 , clause( 18094, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 1.90/2.27 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 1.90/2.27 , clause( 18095, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 1.90/2.27 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 1.90/2.27 , clause( 18096, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 1.90/2.27 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 1.90/2.27 , clause( 18097, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 1.90/2.27 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.90/2.27 , clause( 18098, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.90/2.27 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 1.90/2.27 , clause( 18099, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.90/2.27 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 1.90/2.27 , clause( 18100, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 1.90/2.27 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 1.90/2.27 , clause( 18101, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.90/2.27 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 1.90/2.27 , clause( 18102, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 1.90/2.27 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 1.90/2.27 , clause( 18103, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 1.90/2.27 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 1.90/2.27 , clause( 18104, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 1.90/2.27 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 1.90/2.27 , clause( 18105, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 1.90/2.27 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 1.90/2.27 , clause( 18106, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 1.90/2.27 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 1.90/2.27 , clause( 18107, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.90/2.27 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 1.90/2.27 , clause( 18108, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 1.90/2.27 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 1.90/2.27 , clause( 18109, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.90/2.27 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 1.90/2.27 , clause( 18110, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 1.90/2.27 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 1.90/2.27 , clause( 18111, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 1.90/2.27 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 1.90/2.27 ) ] )
% 1.90/2.27 , clause( 18112, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 1.90/2.27 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 1.90/2.27 Y ) ] )
% 1.90/2.27 , clause( 18113, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 1.90/2.27 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 1.90/2.27 , clause( 18114, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 1.90/2.27 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 1.90/2.27 skaf77( X ) ) ), X ) ] )
% 1.90/2.27 , clause( 18115, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 1.90/2.27 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 1.90/2.27 skaf73( X ) ) ), X ) ] )
% 1.90/2.27 , clause( 18116, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 1.90/2.27 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 1.90/2.27 skaf68( X ) ) ), X ) ] )
% 1.90/2.27 , clause( 18117, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 1.90/2.27 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 1.90/2.27 ), X ) ] )
% 1.90/2.27 , clause( 18118, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 1.90/2.27 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 1.90/2.27 ), X ) ] )
% 1.90/2.27 , clause( 18119, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 1.90/2.27 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 1.90/2.27 ), X ) ] )
% 1.90/2.27 , clause( 18120, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.90/2.27 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 1.90/2.27 , clause( 18121, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 1.90/2.27 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 1.90/2.27 , clause( 18122, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 1.90/2.27 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 1.90/2.27 , clause( 18123, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 1.90/2.27 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 1.90/2.27 , clause( 18124, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 1.90/2.27 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 1.90/2.27 Y ) ] )
% 1.90/2.27 , clause( 18125, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 1.90/2.27 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 1.90/2.27 )
% 1.90/2.27 , clause( 18126, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 1.90/2.27 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 1.90/2.27 , T ) ] )
% 1.90/2.27 , clause( 18127, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 1.90/2.27 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 1.90/2.27 )
% 1.90/2.27 , clause( 18128, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 1.90/2.27 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 1.90/2.27 )
% 1.90/2.27 , clause( 18129, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 1.90/2.27 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 1.90/2.27 )
% 1.90/2.27 , clause( 18130, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 1.90/2.27 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 1.90/2.27 Z, X ), cons( T, Y ) ) ] )
% 1.90/2.27 , clause( 18131, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 1.90/2.27 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 1.90/2.27 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 1.90/2.27 , clause( 18132, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 1.90/2.27 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 1.90/2.27 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 1.90/2.27 , clause( 18133, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.90/2.27 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.90/2.27 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 1.90/2.27 ) ] )
% 1.90/2.27 , clause( 18134, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.90/2.27 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.90/2.27 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 1.90/2.27 ) ] )
% 1.90/2.27 , clause( 18135, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.90/2.27 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.90/2.27 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 1.90/2.27 , lt( T, Y ) ] )
% 1.90/2.27 , clause( 18136, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.90/2.27 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.90/2.27 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 1.90/2.27 , leq( T, Y ) ] )
% 1.90/2.27 , clause( 18137, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 1.90/2.27 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 1.90/2.27 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 1.90/2.27 ) ), ~( ssList( W ) ) ] )
% 1.90/2.27 , clause( 18138, [ ssList( sk1 ) ] )
% 1.90/2.27 , clause( 18139, [ ssList( sk2 ) ] )
% 1.90/2.27 , clause( 18140, [ ssList( sk3 ) ] )
% 1.90/2.27 , clause( 18141, [ ssList( sk4 ) ] )
% 1.90/2.27 , clause( 18142, [ =( nil, sk3 ) ] )
% 1.90/2.27 , clause( 18143, [ =( sk2, sk4 ) ] )
% 1.90/2.27 , clause( 18144, [ =( sk1, sk3 ) ] )
% 1.90/2.27 , clause( 18145, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.90/2.27 ~( =( app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 1.90/2.27 ] ).
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 subsumption(
% 1.90/2.27 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 1.90/2.27 , clause( 18025, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 1.90/2.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.90/2.27 1 )] ) ).
% 1.90/2.27
% 1.90/2.27
% 1.90/2.27 subsumption(
% 1.90/2.27 clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 1.90/2.27 , clause( 18026, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 1.90/2.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.94/2.32 1 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 141, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 1.94/2.32 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.94/2.32 , clause( 18097, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 1.94/2.32 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.94/2.32 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 18463, [ =( app( X, app( Y, Z ) ), app( app( X, Y ), Z ) ), ~(
% 1.94/2.32 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 18101, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.94/2.32 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 1.94/2.32 , 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 145, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app(
% 1.94/2.32 Z, app( Y, X ) ), app( app( Z, Y ), X ) ) ] )
% 1.94/2.32 , clause( 18463, [ =( app( X, app( Y, Z ) ), app( app( X, Y ), Z ) ), ~(
% 1.94/2.32 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 1.94/2.32 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 1.94/2.32 ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 182, [ ssList( sk1 ) ] )
% 1.94/2.32 , clause( 18138, [ ssList( sk1 ) ] )
% 1.94/2.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 183, [ ssList( sk2 ) ] )
% 1.94/2.32 , clause( 18139, [ ssList( sk2 ) ] )
% 1.94/2.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 186, [ =( nil, sk3 ) ] )
% 1.94/2.32 , clause( 18142, [ =( nil, sk3 ) ] )
% 1.94/2.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 21503, [ =( sk3, sk1 ) ] )
% 1.94/2.32 , clause( 18144, [ =( sk1, sk3 ) ] )
% 1.94/2.32 , 0, substitution( 0, [] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 188, [ =( sk3, sk1 ) ] )
% 1.94/2.32 , clause( 21503, [ =( sk3, sk1 ) ] )
% 1.94/2.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 189, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 1.94/2.32 app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 1.94/2.32 , clause( 18145, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.94/2.32 ~( =( app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.94/2.32 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 1.94/2.32 ==>( 4, 4 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 22283, [ ~( =( X, nil ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 1.94/2.32 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.94/2.32 , clause( 141, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 1.94/2.32 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.94/2.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 22310, [ =( app( X, Y ), sk3 ), ~( =( X, nil ) ), ~( =( nil, Y ) )
% 1.94/2.32 , ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 186, [ =( nil, sk3 ) ] )
% 1.94/2.32 , 0, clause( 22283, [ ~( =( X, nil ) ), ~( =( nil, Y ) ), ~( ssList( Y ) )
% 1.94/2.32 , ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.94/2.32 , 4, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.94/2.32 ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 factor(
% 1.94/2.32 clause( 22330, [ =( app( X, X ), sk3 ), ~( =( X, nil ) ), ~( =( nil, X ) )
% 1.94/2.32 , ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 22310, [ =( app( X, Y ), sk3 ), ~( =( X, nil ) ), ~( =( nil, Y )
% 1.94/2.32 ), ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 3, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35095, [ ~( =( sk3, X ) ), =( app( X, X ), sk3 ), ~( =( X, nil ) )
% 1.94/2.32 , ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 186, [ =( nil, sk3 ) ] )
% 1.94/2.32 , 0, clause( 22330, [ =( app( X, X ), sk3 ), ~( =( X, nil ) ), ~( =( nil, X
% 1.94/2.32 ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35096, [ ~( =( X, sk3 ) ), ~( =( sk3, X ) ), =( app( X, X ), sk3 )
% 1.94/2.32 , ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 186, [ =( nil, sk3 ) ] )
% 1.94/2.32 , 0, clause( 35095, [ ~( =( sk3, X ) ), =( app( X, X ), sk3 ), ~( =( X, nil
% 1.94/2.32 ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 2, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35673, [ =( app( X, X ), sk1 ), ~( =( X, sk3 ) ), ~( =( sk3, X ) )
% 1.94/2.32 , ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 188, [ =( sk3, sk1 ) ] )
% 1.94/2.32 , 0, clause( 35096, [ ~( =( X, sk3 ) ), ~( =( sk3, X ) ), =( app( X, X ),
% 1.94/2.32 sk3 ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 2, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35720, [ ~( =( sk1, X ) ), =( app( X, X ), sk1 ), ~( =( X, sk3 ) )
% 1.94/2.32 , ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 188, [ =( sk3, sk1 ) ] )
% 1.94/2.32 , 0, clause( 35673, [ =( app( X, X ), sk1 ), ~( =( X, sk3 ) ), ~( =( sk3, X
% 1.94/2.32 ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35721, [ ~( =( X, sk1 ) ), ~( =( sk1, X ) ), =( app( X, X ), sk1 )
% 1.94/2.32 , ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 188, [ =( sk3, sk1 ) ] )
% 1.94/2.32 , 0, clause( 35720, [ ~( =( sk1, X ) ), =( app( X, X ), sk1 ), ~( =( X, sk3
% 1.94/2.32 ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 2, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 35728, [ ~( =( sk1, X ) ), ~( =( sk1, X ) ), =( app( X, X ), sk1 )
% 1.94/2.32 , ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 35721, [ ~( =( X, sk1 ) ), ~( =( sk1, X ) ), =( app( X, X ), sk1
% 1.94/2.32 ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 0, substitution( 0, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 factor(
% 1.94/2.32 clause( 35733, [ ~( =( sk1, X ) ), =( app( X, X ), sk1 ), ~( ssList( X ) )
% 1.94/2.32 ] )
% 1.94/2.32 , clause( 35728, [ ~( =( sk1, X ) ), ~( =( sk1, X ) ), =( app( X, X ), sk1
% 1.94/2.32 ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 219, [ ~( ssList( X ) ), ~( =( sk1, X ) ), =( app( X, X ), sk1 ) ]
% 1.94/2.32 )
% 1.94/2.32 , clause( 35733, [ ~( =( sk1, X ) ), =( app( X, X ), sk1 ), ~( ssList( X )
% 1.94/2.32 ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.94/2.32 2 ), ==>( 2, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 35737, [ ~( =( X, sk1 ) ), ~( ssList( X ) ), =( app( X, X ), sk1 )
% 1.94/2.32 ] )
% 1.94/2.32 , clause( 219, [ ~( ssList( X ) ), ~( =( sk1, X ) ), =( app( X, X ), sk1 )
% 1.94/2.32 ] )
% 1.94/2.32 , 1, substitution( 0, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqrefl(
% 1.94/2.32 clause( 35740, [ ~( ssList( sk1 ) ), =( app( sk1, sk1 ), sk1 ) ] )
% 1.94/2.32 , clause( 35737, [ ~( =( X, sk1 ) ), ~( ssList( X ) ), =( app( X, X ), sk1
% 1.94/2.32 ) ] )
% 1.94/2.32 , 0, substitution( 0, [ :=( X, sk1 )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 resolution(
% 1.94/2.32 clause( 35741, [ =( app( sk1, sk1 ), sk1 ) ] )
% 1.94/2.32 , clause( 35740, [ ~( ssList( sk1 ) ), =( app( sk1, sk1 ), sk1 ) ] )
% 1.94/2.32 , 0, clause( 182, [ ssList( sk1 ) ] )
% 1.94/2.32 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 221, [ =( app( sk1, sk1 ), sk1 ) ] )
% 1.94/2.32 , clause( 35741, [ =( app( sk1, sk1 ), sk1 ) ] )
% 1.94/2.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35745, [ =( nil, sk1 ) ] )
% 1.94/2.32 , clause( 188, [ =( sk3, sk1 ) ] )
% 1.94/2.32 , 0, clause( 186, [ =( nil, sk3 ) ] )
% 1.94/2.32 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 329, [ =( nil, sk1 ) ] )
% 1.94/2.32 , clause( 35745, [ =( nil, sk1 ) ] )
% 1.94/2.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35749, [ =( app( X, sk1 ), X ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 329, [ =( nil, sk1 ) ] )
% 1.94/2.32 , 0, clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 1.94/2.32 , 1, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 640, [ ~( ssList( X ) ), =( app( X, sk1 ), X ) ] )
% 1.94/2.32 , clause( 35749, [ =( app( X, sk1 ), X ), ~( ssList( X ) ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.94/2.32 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35753, [ =( app( sk1, X ), X ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 329, [ =( nil, sk1 ) ] )
% 1.94/2.32 , 0, clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 1.94/2.32 , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 641, [ ~( ssList( X ) ), =( app( sk1, X ), X ) ] )
% 1.94/2.32 , clause( 35753, [ =( app( sk1, X ), X ), ~( ssList( X ) ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.94/2.32 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 35755, [ =( app( app( X, Y ), Z ), app( X, app( Y, Z ) ) ), ~(
% 1.94/2.32 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 145, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =(
% 1.94/2.32 app( Z, app( Y, X ) ), app( app( Z, Y ), X ) ) ] )
% 1.94/2.32 , 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 resolution(
% 1.94/2.32 clause( 35757, [ =( app( app( X, Y ), sk1 ), app( X, app( Y, sk1 ) ) ), ~(
% 1.94/2.32 ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 35755, [ =( app( app( X, Y ), Z ), app( X, app( Y, Z ) ) ), ~(
% 1.94/2.32 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 1, clause( 182, [ ssList( sk1 ) ] )
% 1.94/2.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, sk1 )] ),
% 1.94/2.32 substitution( 1, [] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35772, [ =( app( app( X, Y ), sk1 ), app( X, Y ) ), ~( ssList( Y )
% 1.94/2.32 ), ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 640, [ ~( ssList( X ) ), =( app( X, sk1 ), X ) ] )
% 1.94/2.32 , 1, clause( 35757, [ =( app( app( X, Y ), sk1 ), app( X, app( Y, sk1 ) ) )
% 1.94/2.32 , ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.94/2.32 :=( Y, Y )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 factor(
% 1.94/2.32 clause( 35778, [ =( app( app( X, Y ), sk1 ), app( X, Y ) ), ~( ssList( Y )
% 1.94/2.32 ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 35772, [ =( app( app( X, Y ), sk1 ), app( X, Y ) ), ~( ssList( Y
% 1.94/2.32 ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 7662, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( app( app( Y, X ),
% 1.94/2.32 sk1 ), app( Y, X ) ) ] )
% 1.94/2.32 , clause( 35778, [ =( app( app( X, Y ), sk1 ), app( X, Y ) ), ~( ssList( Y
% 1.94/2.32 ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 1.94/2.32 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 35784, [ ~( =( sk2, app( app( X, Y ), Z ) ) ), ~( ssList( X ) ),
% 1.94/2.32 ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 1.94/2.32 , clause( 189, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~(
% 1.94/2.32 =( app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 1.94/2.32 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 resolution(
% 1.94/2.32 clause( 35790, [ ~( =( sk2, app( app( sk1, X ), sk1 ) ) ), ~( ssList( sk1 )
% 1.94/2.32 ), ~( ssList( X ) ), ~( ssList( sk1 ) ) ] )
% 1.94/2.32 , clause( 35784, [ ~( =( sk2, app( app( X, Y ), Z ) ) ), ~( ssList( X ) ),
% 1.94/2.32 ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 1.94/2.32 , 4, clause( 221, [ =( app( sk1, sk1 ), sk1 ) ] )
% 1.94/2.32 , 0, substitution( 0, [ :=( X, sk1 ), :=( Y, X ), :=( Z, sk1 )] ),
% 1.94/2.32 substitution( 1, [] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35794, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~( ssList(
% 1.94/2.32 sk1 ) ), ~( ssList( sk1 ) ), ~( ssList( X ) ), ~( ssList( sk1 ) ) ] )
% 1.94/2.32 , clause( 7662, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( app( app( Y, X ),
% 1.94/2.32 sk1 ), app( Y, X ) ) ] )
% 1.94/2.32 , 2, clause( 35790, [ ~( =( sk2, app( app( sk1, X ), sk1 ) ) ), ~( ssList(
% 1.94/2.32 sk1 ) ), ~( ssList( X ) ), ~( ssList( sk1 ) ) ] )
% 1.94/2.32 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, sk1 )] ), substitution( 1, [
% 1.94/2.32 :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 factor(
% 1.94/2.32 clause( 35796, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~( ssList(
% 1.94/2.32 sk1 ) ), ~( ssList( sk1 ) ), ~( ssList( sk1 ) ) ] )
% 1.94/2.32 , clause( 35794, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~(
% 1.94/2.32 ssList( sk1 ) ), ~( ssList( sk1 ) ), ~( ssList( X ) ), ~( ssList( sk1 ) )
% 1.94/2.32 ] )
% 1.94/2.32 , 1, 4, substitution( 0, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 factor(
% 1.94/2.32 clause( 35798, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~( ssList(
% 1.94/2.32 sk1 ) ), ~( ssList( sk1 ) ) ] )
% 1.94/2.32 , clause( 35796, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~(
% 1.94/2.32 ssList( sk1 ) ), ~( ssList( sk1 ) ), ~( ssList( sk1 ) ) ] )
% 1.94/2.32 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 factor(
% 1.94/2.32 clause( 35800, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~( ssList(
% 1.94/2.32 sk1 ) ) ] )
% 1.94/2.32 , clause( 35798, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~(
% 1.94/2.32 ssList( sk1 ) ), ~( ssList( sk1 ) ) ] )
% 1.94/2.32 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 35864, [ ~( =( sk2, X ) ), ~( ssList( X ) ), ~( ssList( X ) ), ~(
% 1.94/2.32 ssList( sk1 ) ) ] )
% 1.94/2.32 , clause( 641, [ ~( ssList( X ) ), =( app( sk1, X ), X ) ] )
% 1.94/2.32 , 1, clause( 35800, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~(
% 1.94/2.32 ssList( sk1 ) ) ] )
% 1.94/2.32 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.94/2.32 ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 factor(
% 1.94/2.32 clause( 35865, [ ~( =( sk2, X ) ), ~( ssList( X ) ), ~( ssList( sk1 ) ) ]
% 1.94/2.32 )
% 1.94/2.32 , clause( 35864, [ ~( =( sk2, X ) ), ~( ssList( X ) ), ~( ssList( X ) ),
% 1.94/2.32 ~( ssList( sk1 ) ) ] )
% 1.94/2.32 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 resolution(
% 1.94/2.32 clause( 35869, [ ~( =( sk2, X ) ), ~( ssList( X ) ) ] )
% 1.94/2.32 , clause( 35865, [ ~( =( sk2, X ) ), ~( ssList( X ) ), ~( ssList( sk1 ) ) ]
% 1.94/2.33 )
% 1.94/2.33 , 2, clause( 182, [ ssList( sk1 ) ] )
% 1.94/2.33 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 eqswap(
% 1.94/2.33 clause( 35870, [ ~( =( X, sk2 ) ), ~( ssList( X ) ) ] )
% 1.94/2.33 , clause( 35869, [ ~( =( sk2, X ) ), ~( ssList( X ) ) ] )
% 1.94/2.33 , 0, substitution( 0, [ :=( X, X )] )).
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 subsumption(
% 1.94/2.33 clause( 17757, [ ~( ssList( X ) ), ~( =( X, sk2 ) ) ] )
% 1.94/2.33 , clause( 35870, [ ~( =( X, sk2 ) ), ~( ssList( X ) ) ] )
% 1.94/2.33 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.94/2.33 0 )] ) ).
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 eqswap(
% 1.94/2.33 clause( 35871, [ ~( =( sk2, X ) ), ~( ssList( X ) ) ] )
% 1.94/2.33 , clause( 17757, [ ~( ssList( X ) ), ~( =( X, sk2 ) ) ] )
% 1.94/2.33 , 1, substitution( 0, [ :=( X, X )] )).
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 eqrefl(
% 1.94/2.33 clause( 35872, [ ~( ssList( sk2 ) ) ] )
% 1.94/2.33 , clause( 35871, [ ~( =( sk2, X ) ), ~( ssList( X ) ) ] )
% 1.94/2.33 , 0, substitution( 0, [ :=( X, sk2 )] )).
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 resolution(
% 1.94/2.33 clause( 35873, [] )
% 1.94/2.33 , clause( 35872, [ ~( ssList( sk2 ) ) ] )
% 1.94/2.33 , 0, clause( 183, [ ssList( sk2 ) ] )
% 1.94/2.33 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 subsumption(
% 1.94/2.33 clause( 17951, [] )
% 1.94/2.33 , clause( 35873, [] )
% 1.94/2.33 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 end.
% 1.94/2.33
% 1.94/2.33 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.94/2.33
% 1.94/2.33 Memory use:
% 1.94/2.33
% 1.94/2.33 space for terms: 395070
% 1.94/2.33 space for clauses: 913202
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 clauses generated: 95612
% 1.94/2.33 clauses kept: 17952
% 1.94/2.33 clauses selected: 663
% 1.94/2.33 clauses deleted: 53
% 1.94/2.33 clauses inuse deleted: 0
% 1.94/2.33
% 1.94/2.33 subsentry: 440031
% 1.94/2.33 literals s-matched: 105502
% 1.94/2.33 literals matched: 73245
% 1.94/2.33 full subsumption: 35035
% 1.94/2.33
% 1.94/2.33 checksum: -1188734636
% 1.94/2.33
% 1.94/2.33
% 1.94/2.33 Bliksem ended
%------------------------------------------------------------------------------