%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC205-1 : 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 19:34:46 EDT 2022
% Result : Unsatisfiable 2.22s 2.57s
% Output : Refutation 2.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC205-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jun 12 09:54:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09 [
% 0.72/1.09 [ equalelemsP( nil ) ],
% 0.72/1.09 [ duplicatefreeP( nil ) ],
% 0.72/1.09 [ strictorderedP( nil ) ],
% 0.72/1.09 [ totalorderedP( nil ) ],
% 0.72/1.09 [ strictorderP( nil ) ],
% 0.72/1.09 [ totalorderP( nil ) ],
% 0.72/1.09 [ cyclefreeP( nil ) ],
% 0.72/1.09 [ ssList( nil ) ],
% 0.72/1.09 [ ssItem( skac3 ) ],
% 0.72/1.09 [ ssItem( skac2 ) ],
% 0.72/1.09 [ ~( singletonP( nil ) ) ],
% 0.72/1.09 [ ssItem( skaf83( X ) ) ],
% 0.72/1.09 [ ssList( skaf82( X ) ) ],
% 0.72/1.09 [ ssList( skaf81( X ) ) ],
% 0.72/1.09 [ ssList( skaf80( X ) ) ],
% 0.72/1.09 [ ssItem( skaf79( X ) ) ],
% 0.72/1.09 [ ssItem( skaf78( X ) ) ],
% 0.72/1.09 [ ssList( skaf77( X ) ) ],
% 0.72/1.09 [ ssList( skaf76( X ) ) ],
% 0.72/1.09 [ ssList( skaf75( X ) ) ],
% 0.72/1.09 [ ssItem( skaf74( X ) ) ],
% 0.72/1.09 [ ssList( skaf73( X ) ) ],
% 0.72/1.09 [ ssList( skaf72( X ) ) ],
% 0.72/1.09 [ ssList( skaf71( X ) ) ],
% 0.72/1.09 [ ssItem( skaf70( X ) ) ],
% 0.72/1.09 [ ssItem( skaf69( X ) ) ],
% 0.72/1.09 [ ssList( skaf68( X ) ) ],
% 0.72/1.09 [ ssList( skaf67( X ) ) ],
% 0.72/1.09 [ ssList( skaf66( X ) ) ],
% 0.72/1.09 [ ssItem( skaf65( X ) ) ],
% 0.72/1.09 [ ssItem( skaf64( X ) ) ],
% 0.72/1.09 [ ssList( skaf63( X ) ) ],
% 0.72/1.09 [ ssList( skaf62( X ) ) ],
% 0.72/1.09 [ ssList( skaf61( X ) ) ],
% 0.72/1.09 [ ssItem( skaf60( X ) ) ],
% 0.72/1.09 [ ssItem( skaf59( X ) ) ],
% 0.72/1.09 [ ssList( skaf58( X ) ) ],
% 0.72/1.09 [ ssList( skaf57( X ) ) ],
% 0.72/1.09 [ ssList( skaf56( X ) ) ],
% 0.72/1.09 [ ssItem( skaf55( X ) ) ],
% 0.72/1.09 [ ssItem( skaf54( X ) ) ],
% 0.72/1.09 [ ssList( skaf53( X ) ) ],
% 0.72/1.09 [ ssList( skaf52( X ) ) ],
% 0.72/1.09 [ ssList( skaf51( X ) ) ],
% 0.72/1.09 [ ssItem( skaf50( X ) ) ],
% 0.72/1.09 [ ssItem( skaf49( X ) ) ],
% 0.72/1.09 [ ssItem( skaf44( X ) ) ],
% 0.72/1.09 [ ssList( skaf48( X, Y ) ) ],
% 0.72/1.09 [ ssList( skaf47( X, Y ) ) ],
% 0.72/1.09 [ ssList( skaf46( X, Y ) ) ],
% 0.72/1.09 [ ssList( skaf45( X, Y ) ) ],
% 0.72/1.09 [ ssList( skaf43( X, Y ) ) ],
% 0.72/1.09 [ ssList( skaf42( X, Y ) ) ],
% 0.72/1.09 [ ~( =( skac3, skac2 ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.72/1.09 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.72/1.09 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.72/1.09 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.72/1.09 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.72/1.09 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.09 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.72/1.09 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.72/1.09 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.72/1.09 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.72/1.09 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.72/1.09 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.72/1.09 ],
% 0.72/1.09 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.72/1.09 X ) ],
% 0.72/1.09 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.72/1.09 X ) ],
% 0.72/1.09 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.09 ) ],
% 0.72/1.09 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.09 ) ],
% 0.72/1.09 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.09 ) ],
% 0.72/1.09 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.09 ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.72/1.09 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.09 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.09 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.72/1.09 ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.09 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.72/1.09 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.72/1.09 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.72/1.09 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.72/1.09 ) ],
% 0.72/1.09 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.72/1.09 cons( Y, X ) ) ],
% 0.72/1.09 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.72/1.09 cons( Y, X ) ) ],
% 0.72/1.09 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.72/1.09 singletonP( Y ) ],
% 0.72/1.09 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.09 , X ) ],
% 0.72/1.09 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.09 , Y ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.72/1.09 X, Y ) ) ],
% 0.72/1.09 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.09 , Y ) ],
% 0.72/1.09 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.09 , Y ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.72/1.09 , hd( Y ) ) ],
% 0.72/1.09 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.09 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.72/1.09 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.09 , totalorderedP( Y ), =( nil, Y ) ],
% 0.72/1.09 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.09 , =( Y, X ) ],
% 0.72/1.09 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.09 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.09 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.09 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.09 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.09 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.09 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.09 , =( Y, X ) ],
% 0.72/1.09 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.72/1.09 skaf46( X, Y ), Y ), X ) ],
% 0.72/1.09 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.72/1.09 , skaf45( X, Y ) ), X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.72/1.09 , app( tl( Y ), X ) ) ],
% 0.72/1.09 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.09 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.09 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.09 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.09 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.72/1.09 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.72/1.09 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.72/1.09 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.72/1.09 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.72/1.09 memberP( cons( Y, Z ), X ) ],
% 0.72/1.09 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.72/1.09 ) ), memberP( cons( Z, X ), Y ) ],
% 0.72/1.09 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.72/1.09 ) ), memberP( app( X, Z ), Y ) ],
% 0.72/1.09 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.72/1.09 ) ), memberP( app( Z, X ), Y ) ],
% 0.72/1.09 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.72/1.09 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.72/1.09 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.72/1.09 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.72/1.09 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.72/1.09 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.72/1.09 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.09 , =( app( X, Y ), nil ) ],
% 0.72/1.09 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.72/1.09 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.72/1.09 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.09 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.09 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.09 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.72/1.09 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.72/1.09 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.72/1.09 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.09 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.72/1.09 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.72/1.09 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.72/1.09 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.09 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.72/1.09 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.09 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.72/1.09 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.09 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.72/1.09 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.72/1.09 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.09 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.09 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.72/1.09 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.72/1.09 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.72/1.09 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.72/1.09 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.72/1.09 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.72/1.09 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.09 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.72/1.09 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.09 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.72/1.09 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.72/1.09 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.72/1.09 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.72/1.09 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.72/1.09 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.72/1.09 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.72/1.09 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.72/1.09 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.72/1.09 ,
% 0.72/1.09 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.72/1.09 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.72/1.09 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.72/1.09 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.72/1.09 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.09 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.72/1.09 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.09 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.72/1.09 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.76/1.27 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.76/1.27 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.76/1.27 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.76/1.27 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.76/1.27 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.76/1.27 ,
% 0.76/1.27 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.76/1.27 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.76/1.27 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.76/1.27 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.76/1.27 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.76/1.27 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.76/1.27 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.76/1.27 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.76/1.27 T, Y ) ) ],
% 0.76/1.27 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.76/1.27 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.76/1.27 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.76/1.27 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.76/1.27 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.76/1.27 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.76/1.27 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.27 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.27 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.76/1.27 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.27 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.27 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.76/1.27 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.27 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.27 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.76/1.27 ,
% 0.76/1.27 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.27 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.27 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.76/1.27 ,
% 0.76/1.27 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.76/1.27 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.76/1.27 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.76/1.27 W ) ) ],
% 0.76/1.27 [ ssList( sk1 ) ],
% 0.76/1.27 [ ssList( sk2 ) ],
% 0.76/1.27 [ ssList( sk3 ) ],
% 0.76/1.27 [ ssList( sk4 ) ],
% 0.76/1.27 [ =( sk2, sk4 ) ],
% 0.76/1.27 [ =( sk1, sk3 ) ],
% 0.76/1.27 [ neq( sk2, nil ) ],
% 0.76/1.27 [ ~( neq( sk1, nil ) ) ],
% 0.76/1.27 [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ],
% 0.76/1.27 [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ]
% 0.76/1.27 ] .
% 0.76/1.27
% 0.76/1.27
% 0.76/1.27 percentage equality = 0.166942, percentage horn = 0.843750
% 0.76/1.27 This is a problem with some equality
% 0.76/1.27
% 0.76/1.27
% 0.76/1.27
% 0.76/1.27 Options Used:
% 0.76/1.27
% 0.76/1.27 useres = 1
% 0.76/1.27 useparamod = 1
% 0.76/1.27 useeqrefl = 1
% 0.76/1.27 useeqfact = 1
% 0.76/1.27 usefactor = 1
% 0.76/1.27 usesimpsplitting = 0
% 0.76/1.27 usesimpdemod = 5
% 0.76/1.27 usesimpres = 3
% 0.76/1.27
% 0.76/1.27 resimpinuse = 1000
% 0.76/1.27 resimpclauses = 20000
% 0.76/1.27 substype = eqrewr
% 0.76/1.27 backwardsubs = 1
% 0.76/1.27 selectoldest = 5
% 0.76/1.27
% 0.76/1.27 litorderings [0] = split
% 0.76/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.27
% 0.76/1.27 termordering = kbo
% 0.76/1.27
% 0.76/1.27 litapriori = 0
% 0.76/1.27 termapriori = 1
% 0.76/1.27 litaposteriori = 0
% 0.76/1.27 termaposteriori = 0
% 0.76/1.27 demodaposteriori = 0
% 0.76/1.27 ordereqreflfact = 0
% 0.76/1.27
% 0.76/1.27 litselect = negord
% 0.76/1.27
% 0.76/1.27 maxweight = 15
% 0.76/1.27 maxdepth = 30000
% 0.76/1.27 maxlength = 115
% 0.76/1.27 maxnrvars = 195
% 0.76/1.27 excuselevel = 1
% 0.76/1.27 increasemaxweight = 1
% 0.76/1.27
% 0.76/1.27 maxselected = 10000000
% 0.76/1.27 maxnrclauses = 10000000
% 0.76/1.27
% 0.76/1.27 showgenerated = 0
% 0.76/1.27 showkept = 0
% 0.76/1.27 showselected = 0
% 0.76/1.27 showdeleted = 0
% 0.76/1.27 showresimp = 1
% 0.76/1.27 showstatus = 2000
% 0.76/1.27
% 0.76/1.27 prologoutput = 1
% 0.76/1.27 nrgoals = 5000000
% 0.76/1.27 totalproof = 1
% 0.76/1.27
% 0.76/1.27 Symbols occurring in the translation:
% 0.76/1.27
% 0.76/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.27 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.76/1.27 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.76/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.22/2.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.22/2.57 nil [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.22/2.57 equalelemsP [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 2.22/2.57 duplicatefreeP [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 2.22/2.57 strictorderedP [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 2.22/2.57 totalorderedP [43, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.22/2.57 strictorderP [44, 1] (w:1, o:33, a:1, s:1, b:0),
% 2.22/2.57 totalorderP [45, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.22/2.57 cyclefreeP [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 2.22/2.57 ssList [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 2.22/2.57 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.22/2.57 ssItem [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 2.22/2.57 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.22/2.57 singletonP [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 2.22/2.57 skaf83 [53, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.22/2.57 skaf82 [54, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.22/2.57 skaf81 [55, 1] (w:1, o:68, a:1, s:1, b:0),
% 2.22/2.57 skaf80 [56, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.22/2.57 skaf79 [57, 1] (w:1, o:66, a:1, s:1, b:0),
% 2.22/2.57 skaf78 [58, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.22/2.57 skaf77 [59, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.22/2.57 skaf76 [60, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.22/2.57 skaf75 [61, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.22/2.57 skaf74 [62, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.22/2.57 skaf73 [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.22/2.57 skaf72 [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.22/2.57 skaf71 [65, 1] (w:1, o:58, a:1, s:1, b:0),
% 2.22/2.57 skaf70 [66, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.22/2.57 skaf69 [67, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.22/2.57 skaf68 [68, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.22/2.57 skaf67 [69, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.22/2.57 skaf66 [70, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.22/2.57 skaf65 [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 2.22/2.57 skaf64 [72, 1] (w:1, o:51, a:1, s:1, b:0),
% 2.22/2.57 skaf63 [73, 1] (w:1, o:50, a:1, s:1, b:0),
% 2.22/2.57 skaf62 [74, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.22/2.57 skaf61 [75, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.22/2.57 skaf60 [76, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.22/2.57 skaf59 [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.22/2.57 skaf58 [78, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.22/2.57 skaf57 [79, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.22/2.57 skaf56 [80, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.22/2.57 skaf55 [81, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.22/2.57 skaf54 [82, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.22/2.57 skaf53 [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.22/2.57 skaf52 [84, 1] (w:1, o:39, a:1, s:1, b:0),
% 2.22/2.57 skaf51 [85, 1] (w:1, o:38, a:1, s:1, b:0),
% 2.22/2.57 skaf50 [86, 1] (w:1, o:37, a:1, s:1, b:0),
% 2.22/2.57 skaf49 [87, 1] (w:1, o:35, a:1, s:1, b:0),
% 2.22/2.57 skaf44 [88, 1] (w:1, o:36, a:1, s:1, b:0),
% 2.22/2.57 skaf48 [90, 2] (w:1, o:104, a:1, s:1, b:0),
% 2.22/2.57 skaf47 [91, 2] (w:1, o:103, a:1, s:1, b:0),
% 2.22/2.57 skaf46 [92, 2] (w:1, o:102, a:1, s:1, b:0),
% 2.22/2.57 skaf45 [93, 2] (w:1, o:101, a:1, s:1, b:0),
% 2.22/2.57 skaf43 [94, 2] (w:1, o:106, a:1, s:1, b:0),
% 2.22/2.57 skaf42 [95, 2] (w:1, o:105, a:1, s:1, b:0),
% 2.22/2.57 geq [96, 2] (w:1, o:108, a:1, s:1, b:0),
% 2.22/2.57 segmentP [97, 2] (w:1, o:109, a:1, s:1, b:0),
% 2.22/2.57 rearsegP [98, 2] (w:1, o:100, a:1, s:1, b:0),
% 2.22/2.57 frontsegP [99, 2] (w:1, o:107, a:1, s:1, b:0),
% 2.22/2.57 leq [100, 2] (w:1, o:110, a:1, s:1, b:0),
% 2.22/2.57 lt [101, 2] (w:1, o:111, a:1, s:1, b:0),
% 2.22/2.57 cons [102, 2] (w:1, o:112, a:1, s:1, b:0),
% 2.22/2.57 memberP [103, 2] (w:1, o:113, a:1, s:1, b:0),
% 2.22/2.57 app [104, 2] (w:1, o:114, a:1, s:1, b:0),
% 2.22/2.57 tl [105, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.22/2.57 hd [106, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.22/2.57 neq [107, 2] (w:1, o:115, a:1, s:1, b:0),
% 2.22/2.57 gt [108, 2] (w:1, o:116, a:1, s:1, b:0),
% 2.22/2.57 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.22/2.57 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 2.22/2.57 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.22/2.57 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0).
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Starting Search:
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Intermediate Status:
% 2.22/2.57 Generated: 4040
% 2.22/2.57 Kept: 2000
% 2.22/2.57 Inuse: 203
% 2.22/2.57 Deleted: 2
% 2.22/2.57 Deletedinuse: 0
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Intermediate Status:
% 2.22/2.57 Generated: 8949
% 2.22/2.57 Kept: 4681
% 2.22/2.57 Inuse: 287
% 2.22/2.57 Deleted: 4
% 2.22/2.57 Deletedinuse: 0
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Intermediate Status:
% 2.22/2.57 Generated: 16646
% 2.22/2.57 Kept: 6735
% 2.22/2.57 Inuse: 405
% 2.22/2.57 Deleted: 179
% 2.22/2.57 Deletedinuse: 163
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Intermediate Status:
% 2.22/2.57 Generated: 23182
% 2.22/2.57 Kept: 8774
% 2.22/2.57 Inuse: 476
% 2.22/2.57 Deleted: 183
% 2.22/2.57 Deletedinuse: 163
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Intermediate Status:
% 2.22/2.57 Generated: 33247
% 2.22/2.57 Kept: 10804
% 2.22/2.57 Inuse: 545
% 2.22/2.57 Deleted: 184
% 2.22/2.57 Deletedinuse: 163
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Intermediate Status:
% 2.22/2.57 Generated: 48568
% 2.22/2.57 Kept: 13237
% 2.22/2.57 Inuse: 611
% 2.22/2.57 Deleted: 188
% 2.22/2.57 Deletedinuse: 163
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Intermediate Status:
% 2.22/2.57 Generated: 57655
% 2.22/2.57 Kept: 15258
% 2.22/2.57 Inuse: 636
% 2.22/2.57 Deleted: 194
% 2.22/2.57 Deletedinuse: 165
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Intermediate Status:
% 2.22/2.57 Generated: 77840
% 2.22/2.57 Kept: 17268
% 2.22/2.57 Inuse: 652
% 2.22/2.57 Deleted: 204
% 2.22/2.57 Deletedinuse: 165
% 2.22/2.57
% 2.22/2.57 Resimplifying inuse:
% 2.22/2.57 Done
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 Bliksems!, er is een bewijs:
% 2.22/2.57 % SZS status Unsatisfiable
% 2.22/2.57 % SZS output start Refutation
% 2.22/2.57
% 2.22/2.57 clause( 7, [ ssList( nil ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 2.22/2.57 )
% 2.22/2.57 .
% 2.22/2.57 clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.22/2.57 ssList( X ) ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 182, [ ssList( sk1 ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 183, [ ssList( sk2 ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 186, [ =( sk4, sk2 ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 187, [ =( sk3, sk1 ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 188, [ neq( sk2, nil ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 189, [ ~( neq( sk1, nil ) ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 190, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 3153, [ ~( ssList( sk1 ) ), =( nil, sk1 ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 3772, [ =( nil, sk1 ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 3911, [ neq( sk2, sk1 ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 5141, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 6999, [ ~( =( sk2, sk1 ) ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 17958, [ =( sk2, sk1 ) ] )
% 2.22/2.57 .
% 2.22/2.57 clause( 17959, [] )
% 2.22/2.57 .
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 % SZS output end Refutation
% 2.22/2.57 found a proof!
% 2.22/2.57
% 2.22/2.57 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.22/2.57
% 2.22/2.57 initialclauses(
% 2.22/2.57 [ clause( 17961, [ equalelemsP( nil ) ] )
% 2.22/2.57 , clause( 17962, [ duplicatefreeP( nil ) ] )
% 2.22/2.57 , clause( 17963, [ strictorderedP( nil ) ] )
% 2.22/2.57 , clause( 17964, [ totalorderedP( nil ) ] )
% 2.22/2.57 , clause( 17965, [ strictorderP( nil ) ] )
% 2.22/2.57 , clause( 17966, [ totalorderP( nil ) ] )
% 2.22/2.57 , clause( 17967, [ cyclefreeP( nil ) ] )
% 2.22/2.57 , clause( 17968, [ ssList( nil ) ] )
% 2.22/2.57 , clause( 17969, [ ssItem( skac3 ) ] )
% 2.22/2.57 , clause( 17970, [ ssItem( skac2 ) ] )
% 2.22/2.57 , clause( 17971, [ ~( singletonP( nil ) ) ] )
% 2.22/2.57 , clause( 17972, [ ssItem( skaf83( X ) ) ] )
% 2.22/2.57 , clause( 17973, [ ssList( skaf82( X ) ) ] )
% 2.22/2.57 , clause( 17974, [ ssList( skaf81( X ) ) ] )
% 2.22/2.57 , clause( 17975, [ ssList( skaf80( X ) ) ] )
% 2.22/2.57 , clause( 17976, [ ssItem( skaf79( X ) ) ] )
% 2.22/2.57 , clause( 17977, [ ssItem( skaf78( X ) ) ] )
% 2.22/2.57 , clause( 17978, [ ssList( skaf77( X ) ) ] )
% 2.22/2.57 , clause( 17979, [ ssList( skaf76( X ) ) ] )
% 2.22/2.57 , clause( 17980, [ ssList( skaf75( X ) ) ] )
% 2.22/2.57 , clause( 17981, [ ssItem( skaf74( X ) ) ] )
% 2.22/2.57 , clause( 17982, [ ssList( skaf73( X ) ) ] )
% 2.22/2.57 , clause( 17983, [ ssList( skaf72( X ) ) ] )
% 2.22/2.57 , clause( 17984, [ ssList( skaf71( X ) ) ] )
% 2.22/2.57 , clause( 17985, [ ssItem( skaf70( X ) ) ] )
% 2.22/2.57 , clause( 17986, [ ssItem( skaf69( X ) ) ] )
% 2.22/2.57 , clause( 17987, [ ssList( skaf68( X ) ) ] )
% 2.22/2.57 , clause( 17988, [ ssList( skaf67( X ) ) ] )
% 2.22/2.57 , clause( 17989, [ ssList( skaf66( X ) ) ] )
% 2.22/2.57 , clause( 17990, [ ssItem( skaf65( X ) ) ] )
% 2.22/2.57 , clause( 17991, [ ssItem( skaf64( X ) ) ] )
% 2.22/2.57 , clause( 17992, [ ssList( skaf63( X ) ) ] )
% 2.22/2.57 , clause( 17993, [ ssList( skaf62( X ) ) ] )
% 2.22/2.57 , clause( 17994, [ ssList( skaf61( X ) ) ] )
% 2.22/2.57 , clause( 17995, [ ssItem( skaf60( X ) ) ] )
% 2.22/2.57 , clause( 17996, [ ssItem( skaf59( X ) ) ] )
% 2.22/2.57 , clause( 17997, [ ssList( skaf58( X ) ) ] )
% 2.22/2.57 , clause( 17998, [ ssList( skaf57( X ) ) ] )
% 2.22/2.57 , clause( 17999, [ ssList( skaf56( X ) ) ] )
% 2.22/2.57 , clause( 18000, [ ssItem( skaf55( X ) ) ] )
% 2.22/2.57 , clause( 18001, [ ssItem( skaf54( X ) ) ] )
% 2.22/2.57 , clause( 18002, [ ssList( skaf53( X ) ) ] )
% 2.22/2.57 , clause( 18003, [ ssList( skaf52( X ) ) ] )
% 2.22/2.57 , clause( 18004, [ ssList( skaf51( X ) ) ] )
% 2.22/2.57 , clause( 18005, [ ssItem( skaf50( X ) ) ] )
% 2.22/2.57 , clause( 18006, [ ssItem( skaf49( X ) ) ] )
% 2.22/2.57 , clause( 18007, [ ssItem( skaf44( X ) ) ] )
% 2.22/2.57 , clause( 18008, [ ssList( skaf48( X, Y ) ) ] )
% 2.22/2.57 , clause( 18009, [ ssList( skaf47( X, Y ) ) ] )
% 2.22/2.57 , clause( 18010, [ ssList( skaf46( X, Y ) ) ] )
% 2.22/2.57 , clause( 18011, [ ssList( skaf45( X, Y ) ) ] )
% 2.22/2.57 , clause( 18012, [ ssList( skaf43( X, Y ) ) ] )
% 2.22/2.57 , clause( 18013, [ ssList( skaf42( X, Y ) ) ] )
% 2.22/2.57 , clause( 18014, [ ~( =( skac3, skac2 ) ) ] )
% 2.22/2.57 , clause( 18015, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 2.22/2.57 , clause( 18016, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 2.22/2.57 , clause( 18017, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 2.22/2.57 , clause( 18018, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 2.22/2.57 , clause( 18019, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 2.22/2.57 , clause( 18020, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 2.22/2.57 , clause( 18021, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.22/2.57 , clause( 18022, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 2.22/2.57 , clause( 18023, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 2.22/2.57 , clause( 18024, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 2.22/2.57 , clause( 18025, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 2.22/2.57 , clause( 18026, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 2.22/2.57 , clause( 18027, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 2.22/2.57 , clause( 18028, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 2.22/2.57 , clause( 18029, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 2.22/2.57 , clause( 18030, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 2.22/2.57 , clause( 18031, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 2.22/2.57 , clause( 18032, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 2.22/2.57 , clause( 18033, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.22/2.57 , clause( 18034, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 2.22/2.57 , clause( 18035, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.22/2.57 , clause( 18036, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.22/2.57 , clause( 18037, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.22/2.57 , clause( 18038, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.22/2.57 , clause( 18039, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18040, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18041, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18042, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18043, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 2.22/2.57 ] )
% 2.22/2.57 , clause( 18044, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 2.22/2.57 ] )
% 2.22/2.57 , clause( 18045, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 2.22/2.57 ) ] )
% 2.22/2.57 , clause( 18046, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 2.22/2.57 ) ] )
% 2.22/2.57 , clause( 18047, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 2.22/2.57 skaf49( X ) ) ] )
% 2.22/2.57 , clause( 18048, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 2.22/2.57 skaf50( X ) ) ] )
% 2.22/2.57 , clause( 18049, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 2.22/2.57 equalelemsP( X ) ] )
% 2.22/2.57 , clause( 18050, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 2.22/2.57 strictorderedP( X ) ] )
% 2.22/2.57 , clause( 18051, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 2.22/2.57 totalorderedP( X ) ] )
% 2.22/2.57 , clause( 18052, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 2.22/2.57 strictorderP( X ) ] )
% 2.22/2.57 , clause( 18053, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 2.22/2.57 strictorderP( X ) ] )
% 2.22/2.57 , clause( 18054, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 2.22/2.57 totalorderP( X ) ] )
% 2.22/2.57 , clause( 18055, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 2.22/2.57 totalorderP( X ) ] )
% 2.22/2.57 , clause( 18056, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 2.22/2.57 ), Y ) ] )
% 2.22/2.57 , clause( 18057, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 2.22/2.57 ), X ) ] )
% 2.22/2.57 , clause( 18058, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 2.22/2.57 Y ) ) ] )
% 2.22/2.57 , clause( 18059, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.22/2.57 Y ) ) ] )
% 2.22/2.57 , clause( 18060, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.22/2.57 ) ] )
% 2.22/2.57 , clause( 18061, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 2.22/2.57 X ), nil ), X ) ] )
% 2.22/2.57 , clause( 18062, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 2.22/2.57 ) ] )
% 2.22/2.57 , clause( 18063, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 2.22/2.57 X, Y ) ] )
% 2.22/2.57 , clause( 18064, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 2.22/2.57 nil, X ) ] )
% 2.22/2.57 , clause( 18065, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.22/2.57 Y, X ) ] )
% 2.22/2.57 , clause( 18066, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 2.22/2.57 Y, X ) ] )
% 2.22/2.57 , clause( 18067, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 2.22/2.57 leq( Y, X ) ] )
% 2.22/2.57 , clause( 18068, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 2.22/2.57 geq( Y, X ) ] )
% 2.22/2.57 , clause( 18069, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 2.22/2.57 ), =( nil, X ) ] )
% 2.22/2.57 , clause( 18070, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.22/2.57 ssItem( Y ) ) ] )
% 2.22/2.57 , clause( 18071, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.22/2.57 ssItem( X ) ) ] )
% 2.22/2.57 , clause( 18072, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.22/2.57 strictorderedP( cons( Y, X ) ) ] )
% 2.22/2.57 , clause( 18073, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.22/2.57 totalorderedP( cons( Y, X ) ) ] )
% 2.22/2.57 , clause( 18074, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.22/2.57 ssItem( Y ) ) ] )
% 2.22/2.57 , clause( 18075, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.22/2.57 ssList( X ) ) ] )
% 2.22/2.57 , clause( 18076, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.22/2.57 Y ) ), singletonP( Y ) ] )
% 2.22/2.57 , clause( 18077, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.22/2.57 ssItem( X ) ) ] )
% 2.22/2.57 , clause( 18078, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.22/2.57 X ) ), =( nil, X ) ] )
% 2.22/2.57 , clause( 18079, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.22/2.57 X ) ), =( nil, Y ) ] )
% 2.22/2.57 , clause( 18080, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 2.22/2.57 ), Y ), cons( X, Y ) ) ] )
% 2.22/2.57 , clause( 18081, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.22/2.57 X, Y ), =( X, Y ) ] )
% 2.22/2.57 , clause( 18082, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.22/2.57 X, Y ), =( X, Y ) ] )
% 2.22/2.57 , clause( 18083, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 2.22/2.57 app( Y, X ) ), hd( Y ) ) ] )
% 2.22/2.57 , clause( 18084, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.22/2.57 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 2.22/2.57 , clause( 18085, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.22/2.57 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 2.22/2.57 , clause( 18086, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 2.22/2.57 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.22/2.57 , clause( 18087, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 2.22/2.57 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.22/2.57 , clause( 18088, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 2.22/2.57 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.22/2.57 , clause( 18089, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 2.22/2.57 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.22/2.57 , clause( 18090, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 2.22/2.57 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.22/2.57 , clause( 18091, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.22/2.57 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 2.22/2.57 , clause( 18092, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.22/2.57 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 2.22/2.57 , clause( 18093, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 2.22/2.57 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 2.22/2.57 , clause( 18094, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.22/2.57 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 2.22/2.57 , clause( 18095, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.22/2.57 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 2.22/2.57 , clause( 18096, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.22/2.57 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 2.22/2.57 , clause( 18097, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.22/2.57 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 2.22/2.57 , clause( 18098, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 2.22/2.57 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 2.22/2.57 , clause( 18099, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 2.22/2.57 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 2.22/2.57 , clause( 18100, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 2.22/2.57 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 2.22/2.57 , clause( 18101, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 2.22/2.57 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 2.22/2.57 , clause( 18102, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 2.22/2.57 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 2.22/2.57 , clause( 18103, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 2.22/2.57 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 2.22/2.57 , clause( 18104, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 2.22/2.57 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.22/2.57 , clause( 18105, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 2.22/2.57 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.22/2.57 , clause( 18106, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.22/2.57 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 2.22/2.57 , clause( 18107, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.22/2.57 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.22/2.57 , clause( 18108, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.22/2.57 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 2.22/2.57 , clause( 18109, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.22/2.57 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 2.22/2.57 , clause( 18110, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 2.22/2.57 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.22/2.57 , clause( 18111, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 2.22/2.57 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 2.22/2.57 , clause( 18112, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 2.22/2.57 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 2.22/2.57 , clause( 18113, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 2.22/2.57 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 2.22/2.57 , clause( 18114, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 2.22/2.57 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 2.22/2.57 , clause( 18115, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.22/2.57 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.22/2.57 , clause( 18116, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.22/2.57 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 2.22/2.57 , clause( 18117, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.22/2.57 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 2.22/2.57 , clause( 18118, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.22/2.57 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 2.22/2.57 , clause( 18119, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 2.22/2.57 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 2.22/2.57 ) ] )
% 2.22/2.57 , clause( 18120, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 2.22/2.57 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 2.22/2.57 Y ) ] )
% 2.22/2.57 , clause( 18121, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.22/2.57 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 2.22/2.57 , clause( 18122, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 2.22/2.57 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 2.22/2.57 skaf77( X ) ) ), X ) ] )
% 2.22/2.57 , clause( 18123, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 2.22/2.57 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 2.22/2.57 skaf73( X ) ) ), X ) ] )
% 2.22/2.57 , clause( 18124, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 2.22/2.57 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 2.22/2.57 skaf68( X ) ) ), X ) ] )
% 2.22/2.57 , clause( 18125, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 2.22/2.57 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 2.22/2.57 ), X ) ] )
% 2.22/2.57 , clause( 18126, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 2.22/2.57 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 2.22/2.57 ), X ) ] )
% 2.22/2.57 , clause( 18127, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 2.22/2.57 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 2.22/2.57 ), X ) ] )
% 2.22/2.57 , clause( 18128, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.22/2.57 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 2.22/2.57 , clause( 18129, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 2.22/2.57 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 2.22/2.57 , clause( 18130, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.22/2.57 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 2.22/2.57 , clause( 18131, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.22/2.57 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 2.22/2.57 , clause( 18132, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 2.22/2.57 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 2.22/2.57 Y ) ] )
% 2.22/2.57 , clause( 18133, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 2.22/2.57 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18134, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.22/2.57 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 2.22/2.57 , T ) ] )
% 2.22/2.57 , clause( 18135, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 2.22/2.57 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18136, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.22/2.57 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18137, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 2.22/2.57 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18138, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 2.22/2.57 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 2.22/2.57 Z, X ), cons( T, Y ) ) ] )
% 2.22/2.57 , clause( 18139, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 2.22/2.57 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 2.22/2.57 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 2.22/2.57 , clause( 18140, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 2.22/2.57 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 2.22/2.57 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 2.22/2.57 , clause( 18141, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.22/2.57 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.22/2.57 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 2.22/2.57 ) ] )
% 2.22/2.57 , clause( 18142, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.22/2.57 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.22/2.57 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 2.22/2.57 ) ] )
% 2.22/2.57 , clause( 18143, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.22/2.57 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.22/2.57 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 2.22/2.57 , lt( T, Y ) ] )
% 2.22/2.57 , clause( 18144, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.22/2.57 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.22/2.57 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 2.22/2.57 , leq( T, Y ) ] )
% 2.22/2.57 , clause( 18145, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 2.22/2.57 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 2.22/2.57 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 2.22/2.57 ) ), ~( ssList( W ) ) ] )
% 2.22/2.57 , clause( 18146, [ ssList( sk1 ) ] )
% 2.22/2.57 , clause( 18147, [ ssList( sk2 ) ] )
% 2.22/2.57 , clause( 18148, [ ssList( sk3 ) ] )
% 2.22/2.57 , clause( 18149, [ ssList( sk4 ) ] )
% 2.22/2.57 , clause( 18150, [ =( sk2, sk4 ) ] )
% 2.22/2.57 , clause( 18151, [ =( sk1, sk3 ) ] )
% 2.22/2.57 , clause( 18152, [ neq( sk2, nil ) ] )
% 2.22/2.57 , clause( 18153, [ ~( neq( sk1, nil ) ) ] )
% 2.22/2.57 , clause( 18154, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 2.22/2.57 , clause( 18155, [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ] )
% 2.22/2.57 ] ).
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 subsumption(
% 2.22/2.57 clause( 7, [ ssList( nil ) ] )
% 2.22/2.57 , clause( 17968, [ ssList( nil ) ] )
% 2.22/2.57 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 subsumption(
% 2.22/2.57 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 2.22/2.57 )
% 2.22/2.57 , clause( 18060, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.22/2.57 ) ] )
% 2.22/2.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.22/2.57 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.22/2.57
% 2.22/2.57
% 2.22/2.57 subsumption(
% 2.22/2.57 clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.22/2.57 ssList( X ) ) ] )
% 2.22/2.57 , clause( 18075, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.22/2.57 ssList( X ) ) ] )
% 2.22/2.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.26/2.60 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 182, [ ssList( sk1 ) ] )
% 2.26/2.60 , clause( 18146, [ ssList( sk1 ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 183, [ ssList( sk2 ) ] )
% 2.26/2.60 , clause( 18147, [ ssList( sk2 ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 eqswap(
% 2.26/2.60 clause( 20493, [ =( sk4, sk2 ) ] )
% 2.26/2.60 , clause( 18150, [ =( sk2, sk4 ) ] )
% 2.26/2.60 , 0, substitution( 0, [] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 186, [ =( sk4, sk2 ) ] )
% 2.26/2.60 , clause( 20493, [ =( sk4, sk2 ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 eqswap(
% 2.26/2.60 clause( 21252, [ =( sk3, sk1 ) ] )
% 2.26/2.60 , clause( 18151, [ =( sk1, sk3 ) ] )
% 2.26/2.60 , 0, substitution( 0, [] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 187, [ =( sk3, sk1 ) ] )
% 2.26/2.60 , clause( 21252, [ =( sk3, sk1 ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 188, [ neq( sk2, nil ) ] )
% 2.26/2.60 , clause( 18152, [ neq( sk2, nil ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 189, [ ~( neq( sk1, nil ) ) ] )
% 2.26/2.60 , clause( 18153, [ ~( neq( sk1, nil ) ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 paramod(
% 2.26/2.60 clause( 23930, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 2.26/2.60 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.26/2.60 , 0, clause( 18154, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 2.26/2.60 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 paramod(
% 2.26/2.60 clause( 23931, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 2.26/2.60 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.26/2.60 , 0, clause( 23930, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 2.26/2.60 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 190, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 2.26/2.60 , clause( 23931, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.26/2.60 ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 eqswap(
% 2.26/2.60 clause( 23935, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X, Y )
% 2.26/2.60 ] )
% 2.26/2.60 , clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X )
% 2.26/2.60 ] )
% 2.26/2.60 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 resolution(
% 2.26/2.60 clause( 23936, [ =( nil, sk1 ), ~( ssList( nil ) ), ~( ssList( sk1 ) ) ] )
% 2.26/2.60 , clause( 189, [ ~( neq( sk1, nil ) ) ] )
% 2.26/2.60 , 0, clause( 23935, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X
% 2.26/2.60 , Y ) ] )
% 2.26/2.60 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 ), :=( Y, nil )] )
% 2.26/2.60 ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 resolution(
% 2.26/2.60 clause( 23937, [ =( nil, sk1 ), ~( ssList( sk1 ) ) ] )
% 2.26/2.60 , clause( 23936, [ =( nil, sk1 ), ~( ssList( nil ) ), ~( ssList( sk1 ) ) ]
% 2.26/2.60 )
% 2.26/2.60 , 1, clause( 7, [ ssList( nil ) ] )
% 2.26/2.60 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 3153, [ ~( ssList( sk1 ) ), =( nil, sk1 ) ] )
% 2.26/2.60 , clause( 23937, [ =( nil, sk1 ), ~( ssList( sk1 ) ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.26/2.60 ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 resolution(
% 2.26/2.60 clause( 23940, [ =( nil, sk1 ) ] )
% 2.26/2.60 , clause( 3153, [ ~( ssList( sk1 ) ), =( nil, sk1 ) ] )
% 2.26/2.60 , 0, clause( 182, [ ssList( sk1 ) ] )
% 2.26/2.60 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 3772, [ =( nil, sk1 ) ] )
% 2.26/2.60 , clause( 23940, [ =( nil, sk1 ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 paramod(
% 2.26/2.60 clause( 23943, [ neq( sk2, sk1 ) ] )
% 2.26/2.60 , clause( 3772, [ =( nil, sk1 ) ] )
% 2.26/2.60 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 2.26/2.60 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 subsumption(
% 2.26/2.60 clause( 3911, [ neq( sk2, sk1 ) ] )
% 2.26/2.60 , clause( 23943, [ neq( sk2, sk1 ) ] )
% 2.26/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 eqswap(
% 2.26/2.60 clause( 23944, [ ~( =( Y, X ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.26/2.60 ssList( X ) ) ] )
% 2.26/2.60 , clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.26/2.60 ssList( X ) ) ] )
% 2.26/2.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 resolution(
% 2.26/2.60 clause( 23945, [ ~( =( sk1, sk2 ) ), ~( ssList( sk1 ) ), ~( ssList( sk2 ) )
% 2.26/2.60 ] )
% 2.26/2.60 , clause( 23944, [ ~( =( Y, X ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.26/2.60 ssList( X ) ) ] )
% 2.26/2.60 , 1, clause( 3911, [ neq( sk2, sk1 ) ] )
% 2.26/2.60 , 0, substitution( 0, [ :=( X, sk2 ), :=( Y, sk1 )] ), substitution( 1, [] )
% 2.26/2.60 ).
% 2.26/2.60
% 2.26/2.60
% 2.26/2.60 resolution(
% 2.26/2.60 clause( 23946, [ ~( =( sk1, sk2 ) ), ~( ssList( sk2 ) ) ] )
% 2.26/2.61 , clause( 23945, [ ~( =( sk1, sk2 ) ), ~( ssList( sk1 ) ), ~( ssList( sk2 )
% 2.26/2.61 ) ] )
% 2.26/2.61 , 1, clause( 182, [ ssList( sk1 ) ] )
% 2.26/2.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 eqswap(
% 2.26/2.61 clause( 23947, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.26/2.61 , clause( 23946, [ ~( =( sk1, sk2 ) ), ~( ssList( sk2 ) ) ] )
% 2.26/2.61 , 0, substitution( 0, [] )).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 subsumption(
% 2.26/2.61 clause( 5141, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.26/2.61 , clause( 23947, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.26/2.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.26/2.61 ).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 resolution(
% 2.26/2.61 clause( 23949, [ ~( =( sk2, sk1 ) ) ] )
% 2.26/2.61 , clause( 5141, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.26/2.61 , 1, clause( 183, [ ssList( sk2 ) ] )
% 2.26/2.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 subsumption(
% 2.26/2.61 clause( 6999, [ ~( =( sk2, sk1 ) ) ] )
% 2.26/2.61 , clause( 23949, [ ~( =( sk2, sk1 ) ) ] )
% 2.26/2.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 paramod(
% 2.26/2.61 clause( 23957, [ ~( =( sk1, sk1 ) ), =( nil, sk2 ) ] )
% 2.26/2.61 , clause( 3772, [ =( nil, sk1 ) ] )
% 2.26/2.61 , 0, clause( 190, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 2.26/2.61 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 paramod(
% 2.26/2.61 clause( 23959, [ =( sk1, sk2 ), ~( =( sk1, sk1 ) ) ] )
% 2.26/2.61 , clause( 3772, [ =( nil, sk1 ) ] )
% 2.26/2.61 , 0, clause( 23957, [ ~( =( sk1, sk1 ) ), =( nil, sk2 ) ] )
% 2.26/2.61 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 eqrefl(
% 2.26/2.61 clause( 23960, [ =( sk1, sk2 ) ] )
% 2.26/2.61 , clause( 23959, [ =( sk1, sk2 ), ~( =( sk1, sk1 ) ) ] )
% 2.26/2.61 , 1, substitution( 0, [] )).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 eqswap(
% 2.26/2.61 clause( 23961, [ =( sk2, sk1 ) ] )
% 2.26/2.61 , clause( 23960, [ =( sk1, sk2 ) ] )
% 2.26/2.61 , 0, substitution( 0, [] )).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 subsumption(
% 2.26/2.61 clause( 17958, [ =( sk2, sk1 ) ] )
% 2.26/2.61 , clause( 23961, [ =( sk2, sk1 ) ] )
% 2.26/2.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 resolution(
% 2.26/2.61 clause( 23964, [] )
% 2.26/2.61 , clause( 6999, [ ~( =( sk2, sk1 ) ) ] )
% 2.26/2.61 , 0, clause( 17958, [ =( sk2, sk1 ) ] )
% 2.26/2.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 subsumption(
% 2.26/2.61 clause( 17959, [] )
% 2.26/2.61 , clause( 23964, [] )
% 2.26/2.61 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 end.
% 2.26/2.61
% 2.26/2.61 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
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% 2.26/2.61 Memory use:
% 2.26/2.61
% 2.26/2.61 space for terms: 384128
% 2.26/2.61 space for clauses: 907748
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% 2.26/2.61
% 2.26/2.61 clauses generated: 85276
% 2.26/2.61 clauses kept: 17960
% 2.26/2.61 clauses selected: 660
% 2.26/2.61 clauses deleted: 212
% 2.26/2.61 clauses inuse deleted: 165
% 2.26/2.61
% 2.26/2.61 subsentry: 160592
% 2.26/2.61 literals s-matched: 96282
% 2.26/2.61 literals matched: 56555
% 2.26/2.61 full subsumption: 36962
% 2.26/2.61
% 2.26/2.61 checksum: 381905452
% 2.26/2.61
% 2.26/2.61
% 2.26/2.61 Bliksem ended
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