%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC009-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 19:32:56 EDT 2022
% Result : Unsatisfiable 4.68s 5.04s
% Output : Refutation 4.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC009-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jun 12 01:39:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.13 *** allocated 10000 integers for termspace/termends
% 0.45/1.13 *** allocated 10000 integers for clauses
% 0.45/1.13 *** allocated 10000 integers for justifications
% 0.45/1.13 Bliksem 1.12
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13 Automatic Strategy Selection
% 0.45/1.13
% 0.45/1.13 Clauses:
% 0.45/1.13 [
% 0.45/1.13 [ equalelemsP( nil ) ],
% 0.45/1.13 [ duplicatefreeP( nil ) ],
% 0.45/1.13 [ strictorderedP( nil ) ],
% 0.45/1.13 [ totalorderedP( nil ) ],
% 0.45/1.13 [ strictorderP( nil ) ],
% 0.45/1.13 [ totalorderP( nil ) ],
% 0.45/1.13 [ cyclefreeP( nil ) ],
% 0.45/1.13 [ ssList( nil ) ],
% 0.45/1.13 [ ssItem( skac3 ) ],
% 0.45/1.13 [ ssItem( skac2 ) ],
% 0.45/1.13 [ ~( singletonP( nil ) ) ],
% 0.45/1.13 [ ssItem( skaf83( X ) ) ],
% 0.45/1.13 [ ssList( skaf82( X ) ) ],
% 0.45/1.13 [ ssList( skaf81( X ) ) ],
% 0.45/1.13 [ ssList( skaf80( X ) ) ],
% 0.45/1.13 [ ssItem( skaf79( X ) ) ],
% 0.45/1.13 [ ssItem( skaf78( X ) ) ],
% 0.45/1.13 [ ssList( skaf77( X ) ) ],
% 0.45/1.13 [ ssList( skaf76( X ) ) ],
% 0.45/1.13 [ ssList( skaf75( X ) ) ],
% 0.45/1.13 [ ssItem( skaf74( X ) ) ],
% 0.45/1.13 [ ssList( skaf73( X ) ) ],
% 0.45/1.13 [ ssList( skaf72( X ) ) ],
% 0.45/1.13 [ ssList( skaf71( X ) ) ],
% 0.45/1.13 [ ssItem( skaf70( X ) ) ],
% 0.45/1.13 [ ssItem( skaf69( X ) ) ],
% 0.45/1.13 [ ssList( skaf68( X ) ) ],
% 0.45/1.13 [ ssList( skaf67( X ) ) ],
% 0.45/1.13 [ ssList( skaf66( X ) ) ],
% 0.45/1.13 [ ssItem( skaf65( X ) ) ],
% 0.45/1.13 [ ssItem( skaf64( X ) ) ],
% 0.45/1.13 [ ssList( skaf63( X ) ) ],
% 0.45/1.13 [ ssList( skaf62( X ) ) ],
% 0.45/1.13 [ ssList( skaf61( X ) ) ],
% 0.45/1.13 [ ssItem( skaf60( X ) ) ],
% 0.45/1.13 [ ssItem( skaf59( X ) ) ],
% 0.45/1.13 [ ssList( skaf58( X ) ) ],
% 0.45/1.13 [ ssList( skaf57( X ) ) ],
% 0.45/1.13 [ ssList( skaf56( X ) ) ],
% 0.45/1.13 [ ssItem( skaf55( X ) ) ],
% 0.45/1.13 [ ssItem( skaf54( X ) ) ],
% 0.45/1.13 [ ssList( skaf53( X ) ) ],
% 0.45/1.13 [ ssList( skaf52( X ) ) ],
% 0.45/1.13 [ ssList( skaf51( X ) ) ],
% 0.45/1.13 [ ssItem( skaf50( X ) ) ],
% 0.45/1.13 [ ssItem( skaf49( X ) ) ],
% 0.45/1.13 [ ssItem( skaf44( X ) ) ],
% 0.45/1.13 [ ssList( skaf48( X, Y ) ) ],
% 0.45/1.13 [ ssList( skaf47( X, Y ) ) ],
% 0.45/1.13 [ ssList( skaf46( X, Y ) ) ],
% 0.45/1.13 [ ssList( skaf45( X, Y ) ) ],
% 0.45/1.13 [ ssList( skaf43( X, Y ) ) ],
% 0.45/1.13 [ ssList( skaf42( X, Y ) ) ],
% 0.45/1.13 [ ~( =( skac3, skac2 ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.45/1.13 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.45/1.13 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.45/1.13 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.45/1.13 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.45/1.13 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.45/1.13 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.45/1.13 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.45/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.45/1.13 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.45/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.45/1.13 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.45/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.45/1.13 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.45/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.45/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.45/1.13 ],
% 0.45/1.13 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.45/1.13 X ) ],
% 0.45/1.13 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.45/1.13 X ) ],
% 0.45/1.13 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.45/1.13 ) ],
% 0.45/1.13 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.45/1.13 ) ],
% 0.45/1.13 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.45/1.13 ) ],
% 0.45/1.13 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.45/1.13 ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.45/1.13 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.45/1.13 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.45/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.45/1.13 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.45/1.13 ) ],
% 0.45/1.13 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.45/1.13 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.45/1.13 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.45/1.13 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.45/1.13 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.45/1.13 ) ],
% 0.45/1.13 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.45/1.13 cons( Y, X ) ) ],
% 0.45/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.45/1.13 cons( Y, X ) ) ],
% 0.45/1.13 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.45/1.13 singletonP( Y ) ],
% 0.45/1.13 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.45/1.13 ,
% 0.45/1.13 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.45/1.13 , X ) ],
% 0.45/1.13 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.45/1.14 , Y ) ],
% 0.45/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.45/1.14 X, Y ) ) ],
% 0.45/1.14 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.45/1.14 , Y ) ],
% 0.45/1.14 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.45/1.14 , Y ) ],
% 0.45/1.14 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.45/1.14 , hd( Y ) ) ],
% 0.45/1.14 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.45/1.14 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.45/1.14 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.45/1.14 , totalorderedP( Y ), =( nil, Y ) ],
% 0.45/1.14 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.45/1.14 , =( Y, X ) ],
% 0.45/1.14 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.45/1.14 ssList( Y ) ), =( Y, X ) ],
% 0.45/1.14 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.45/1.14 ssList( Y ) ), =( Y, X ) ],
% 0.45/1.14 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.45/1.14 ssList( Y ) ), =( Y, X ) ],
% 0.45/1.14 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.45/1.14 , =( Y, X ) ],
% 0.45/1.14 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.45/1.14 skaf46( X, Y ), Y ), X ) ],
% 0.45/1.14 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.45/1.14 , skaf45( X, Y ) ), X ) ],
% 0.45/1.14 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.45/1.14 , app( tl( Y ), X ) ) ],
% 0.45/1.14 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.45/1.14 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.45/1.14 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.45/1.14 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.45/1.14 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.45/1.14 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.45/1.14 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.45/1.14 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.45/1.14 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.45/1.14 memberP( cons( Y, Z ), X ) ],
% 0.45/1.14 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.45/1.14 ) ), memberP( cons( Z, X ), Y ) ],
% 0.45/1.14 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.45/1.14 ) ), memberP( app( X, Z ), Y ) ],
% 0.45/1.14 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.45/1.14 ) ), memberP( app( Z, X ), Y ) ],
% 0.45/1.14 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.45/1.14 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.45/1.14 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.45/1.14 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.45/1.14 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.45/1.14 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.45/1.14 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.45/1.14 , =( app( X, Y ), nil ) ],
% 0.45/1.14 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.45/1.14 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.45/1.14 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.45/1.14 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.45/1.14 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.45/1.14 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.45/1.14 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.45/1.14 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.45/1.14 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.45/1.14 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.45/1.14 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.45/1.14 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.45/1.14 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.45/1.14 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.45/1.14 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.45/1.14 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.45/1.14 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.45/1.14 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.45/1.14 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.45/1.14 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.45/1.14 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.45/1.14 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.45/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.45/1.14 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.45/1.14 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.45/1.14 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.45/1.14 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.45/1.14 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.45/1.14 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.45/1.14 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.45/1.14 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.45/1.14 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.45/1.14 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.45/1.14 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.45/1.14 ,
% 0.45/1.14 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.45/1.14 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.45/1.14 ,
% 0.45/1.14 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.45/1.14 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.45/1.14 ,
% 0.45/1.14 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.45/1.14 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.45/1.14 ,
% 0.45/1.14 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.45/1.14 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.45/1.14 ,
% 0.45/1.14 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.45/1.14 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.45/1.14 ,
% 0.45/1.14 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.45/1.14 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.45/1.14 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.45/1.14 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.45/1.14 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.45/1.14 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.45/1.14 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.45/1.14 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.45/1.14 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.45/1.18 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.45/1.18 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.45/1.18 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.45/1.18 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.45/1.18 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.45/1.18 ,
% 0.45/1.18 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.45/1.18 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.45/1.18 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.45/1.18 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.45/1.18 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.45/1.18 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.45/1.18 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.45/1.18 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.45/1.18 T, Y ) ) ],
% 0.45/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.45/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.45/1.18 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.45/1.18 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.45/1.18 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.45/1.18 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.45/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.45/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.45/1.18 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.45/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.45/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.45/1.18 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.45/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.45/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.45/1.18 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.45/1.18 ,
% 0.45/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.45/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.45/1.18 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.45/1.18 ,
% 0.45/1.18 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.45/1.18 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.45/1.18 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.45/1.18 W ) ) ],
% 0.45/1.18 [ ssList( sk1 ) ],
% 0.45/1.18 [ ssList( sk2 ) ],
% 0.45/1.18 [ ssList( sk3 ) ],
% 0.45/1.18 [ ssList( sk4 ) ],
% 0.45/1.18 [ =( sk2, sk4 ) ],
% 0.45/1.18 [ =( sk1, sk3 ) ],
% 0.45/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( app(
% 0.45/1.18 X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ],
% 0.45/1.18 [ ssList( sk5 ) ],
% 0.45/1.18 [ =( app( sk3, sk5 ), sk4 ) ],
% 0.45/1.18 [ strictorderedP( sk3 ) ],
% 0.45/1.18 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, nil ), Y ),
% 0.45/1.18 sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T, cons( Z, nil )
% 0.45/1.18 ), sk3 ) ), ~( lt( Z, X ) ) ],
% 0.45/1.18 [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ]
% 0.45/1.18 ] .
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 percentage equality = 0.168831, percentage horn = 0.845361
% 0.45/1.18 This is a problem with some equality
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 Options Used:
% 0.45/1.18
% 0.45/1.18 useres = 1
% 0.45/1.18 useparamod = 1
% 0.45/1.18 useeqrefl = 1
% 0.45/1.18 useeqfact = 1
% 0.45/1.18 usefactor = 1
% 0.45/1.18 usesimpsplitting = 0
% 0.45/1.18 usesimpdemod = 5
% 0.45/1.18 usesimpres = 3
% 0.45/1.18
% 0.45/1.18 resimpinuse = 1000
% 0.45/1.18 resimpclauses = 20000
% 0.45/1.18 substype = eqrewr
% 0.45/1.18 backwardsubs = 1
% 0.45/1.18 selectoldest = 5
% 0.45/1.18
% 0.45/1.18 litorderings [0] = split
% 0.45/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.18
% 0.45/1.18 termordering = kbo
% 0.45/1.18
% 0.45/1.18 litapriori = 0
% 0.45/1.18 termapriori = 1
% 0.45/1.18 litaposteriori = 0
% 0.45/1.18 termaposteriori = 0
% 0.45/1.18 demodaposteriori = 0
% 0.45/1.18 ordereqreflfact = 0
% 0.45/1.18
% 0.45/1.18 litselect = negord
% 0.45/1.18
% 0.45/1.18 maxweight = 15
% 0.45/1.18 maxdepth = 30000
% 0.45/1.18 maxlength = 115
% 0.45/1.18 maxnrvars = 195
% 0.45/1.18 excuselevel = 1
% 0.45/1.18 increasemaxweight = 1
% 0.45/1.18
% 0.45/1.18 maxselected = 10000000
% 0.45/1.18 maxnrclauses = 10000000
% 0.45/1.18
% 0.45/1.18 showgenerated = 0
% 0.45/1.18 showkept = 0
% 0.45/1.18 showselected = 0
% 0.45/1.18 showdeleted = 0
% 0.45/1.18 showresimp = 1
% 4.68/5.04 showstatus = 2000
% 4.68/5.04
% 4.68/5.04 prologoutput = 1
% 4.68/5.04 nrgoals = 5000000
% 4.68/5.04 totalproof = 1
% 4.68/5.04
% 4.68/5.04 Symbols occurring in the translation:
% 4.68/5.04
% 4.68/5.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.68/5.04 . [1, 2] (w:1, o:80, a:1, s:1, b:0),
% 4.68/5.04 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 4.68/5.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.68/5.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.68/5.04 nil [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 4.68/5.04 equalelemsP [40, 1] (w:1, o:34, a:1, s:1, b:0),
% 4.68/5.04 duplicatefreeP [41, 1] (w:1, o:33, a:1, s:1, b:0),
% 4.68/5.04 strictorderedP [42, 1] (w:1, o:37, a:1, s:1, b:0),
% 4.68/5.04 totalorderedP [43, 1] (w:1, o:76, a:1, s:1, b:0),
% 4.68/5.04 strictorderP [44, 1] (w:1, o:38, a:1, s:1, b:0),
% 4.68/5.04 totalorderP [45, 1] (w:1, o:77, a:1, s:1, b:0),
% 4.68/5.04 cyclefreeP [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 4.68/5.04 ssList [47, 1] (w:1, o:35, a:1, s:1, b:0),
% 4.68/5.04 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 4.68/5.04 ssItem [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 4.68/5.04 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 4.68/5.04 singletonP [51, 1] (w:1, o:39, a:1, s:1, b:0),
% 4.68/5.04 skaf83 [53, 1] (w:1, o:75, a:1, s:1, b:0),
% 4.68/5.04 skaf82 [54, 1] (w:1, o:74, a:1, s:1, b:0),
% 4.68/5.04 skaf81 [55, 1] (w:1, o:73, a:1, s:1, b:0),
% 4.68/5.04 skaf80 [56, 1] (w:1, o:72, a:1, s:1, b:0),
% 4.68/5.04 skaf79 [57, 1] (w:1, o:71, a:1, s:1, b:0),
% 4.68/5.04 skaf78 [58, 1] (w:1, o:70, a:1, s:1, b:0),
% 4.68/5.04 skaf77 [59, 1] (w:1, o:69, a:1, s:1, b:0),
% 4.68/5.04 skaf76 [60, 1] (w:1, o:68, a:1, s:1, b:0),
% 4.68/5.04 skaf75 [61, 1] (w:1, o:67, a:1, s:1, b:0),
% 4.68/5.04 skaf74 [62, 1] (w:1, o:66, a:1, s:1, b:0),
% 4.68/5.04 skaf73 [63, 1] (w:1, o:65, a:1, s:1, b:0),
% 4.68/5.04 skaf72 [64, 1] (w:1, o:64, a:1, s:1, b:0),
% 4.68/5.04 skaf71 [65, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.68/5.04 skaf70 [66, 1] (w:1, o:62, a:1, s:1, b:0),
% 4.68/5.04 skaf69 [67, 1] (w:1, o:61, a:1, s:1, b:0),
% 4.68/5.04 skaf68 [68, 1] (w:1, o:60, a:1, s:1, b:0),
% 4.68/5.04 skaf67 [69, 1] (w:1, o:59, a:1, s:1, b:0),
% 4.68/5.04 skaf66 [70, 1] (w:1, o:58, a:1, s:1, b:0),
% 4.68/5.04 skaf65 [71, 1] (w:1, o:57, a:1, s:1, b:0),
% 4.68/5.04 skaf64 [72, 1] (w:1, o:56, a:1, s:1, b:0),
% 4.68/5.04 skaf63 [73, 1] (w:1, o:55, a:1, s:1, b:0),
% 4.68/5.04 skaf62 [74, 1] (w:1, o:54, a:1, s:1, b:0),
% 4.68/5.04 skaf61 [75, 1] (w:1, o:53, a:1, s:1, b:0),
% 4.68/5.04 skaf60 [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 4.68/5.04 skaf59 [77, 1] (w:1, o:51, a:1, s:1, b:0),
% 4.68/5.04 skaf58 [78, 1] (w:1, o:50, a:1, s:1, b:0),
% 4.68/5.04 skaf57 [79, 1] (w:1, o:49, a:1, s:1, b:0),
% 4.68/5.04 skaf56 [80, 1] (w:1, o:48, a:1, s:1, b:0),
% 4.68/5.04 skaf55 [81, 1] (w:1, o:47, a:1, s:1, b:0),
% 4.68/5.04 skaf54 [82, 1] (w:1, o:46, a:1, s:1, b:0),
% 4.68/5.04 skaf53 [83, 1] (w:1, o:45, a:1, s:1, b:0),
% 4.68/5.04 skaf52 [84, 1] (w:1, o:44, a:1, s:1, b:0),
% 4.68/5.04 skaf51 [85, 1] (w:1, o:43, a:1, s:1, b:0),
% 4.68/5.04 skaf50 [86, 1] (w:1, o:42, a:1, s:1, b:0),
% 4.68/5.04 skaf49 [87, 1] (w:1, o:40, a:1, s:1, b:0),
% 4.68/5.04 skaf44 [88, 1] (w:1, o:41, a:1, s:1, b:0),
% 4.68/5.04 skaf48 [90, 2] (w:1, o:109, a:1, s:1, b:0),
% 4.68/5.04 skaf47 [91, 2] (w:1, o:108, a:1, s:1, b:0),
% 4.68/5.04 skaf46 [92, 2] (w:1, o:107, a:1, s:1, b:0),
% 4.68/5.04 skaf45 [93, 2] (w:1, o:106, a:1, s:1, b:0),
% 4.68/5.04 skaf43 [94, 2] (w:1, o:111, a:1, s:1, b:0),
% 4.68/5.04 skaf42 [95, 2] (w:1, o:110, a:1, s:1, b:0),
% 4.68/5.04 geq [96, 2] (w:1, o:113, a:1, s:1, b:0),
% 4.68/5.04 segmentP [97, 2] (w:1, o:114, a:1, s:1, b:0),
% 4.68/5.04 rearsegP [98, 2] (w:1, o:105, a:1, s:1, b:0),
% 4.68/5.04 frontsegP [99, 2] (w:1, o:112, a:1, s:1, b:0),
% 4.68/5.04 leq [100, 2] (w:1, o:115, a:1, s:1, b:0),
% 4.68/5.04 lt [101, 2] (w:1, o:116, a:1, s:1, b:0),
% 4.68/5.04 cons [102, 2] (w:1, o:117, a:1, s:1, b:0),
% 4.68/5.04 memberP [103, 2] (w:1, o:118, a:1, s:1, b:0),
% 4.68/5.04 app [104, 2] (w:1, o:119, a:1, s:1, b:0),
% 4.68/5.04 tl [105, 1] (w:1, o:78, a:1, s:1, b:0),
% 4.68/5.04 hd [106, 1] (w:1, o:79, a:1, s:1, b:0),
% 4.68/5.04 neq [107, 2] (w:1, o:120, a:1, s:1, b:0),
% 4.68/5.04 gt [108, 2] (w:1, o:121, a:1, s:1, b:0),
% 4.68/5.04 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.68/5.04 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.68/5.04 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.68/5.04 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 4.68/5.04 sk5 [120, 0] (w:1, o:11, a:1, s:1, b:0).
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Starting Search:
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 4116
% 4.68/5.04 Kept: 2063
% 4.68/5.04 Inuse: 204
% 4.68/5.04 Deleted: 2
% 4.68/5.04 Deletedinuse: 0
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 9003
% 4.68/5.04 Kept: 4676
% 4.68/5.04 Inuse: 289
% 4.68/5.04 Deleted: 2
% 4.68/5.04 Deletedinuse: 0
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 14923
% 4.68/5.04 Kept: 6931
% 4.68/5.04 Inuse: 369
% 4.68/5.04 Deleted: 2
% 4.68/5.04 Deletedinuse: 0
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 25094
% 4.68/5.04 Kept: 9097
% 4.68/5.04 Inuse: 404
% 4.68/5.04 Deleted: 2
% 4.68/5.04 Deletedinuse: 0
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 40767
% 4.68/5.04 Kept: 11333
% 4.68/5.04 Inuse: 459
% 4.68/5.04 Deleted: 4
% 4.68/5.04 Deletedinuse: 2
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 46865
% 4.68/5.04 Kept: 13384
% 4.68/5.04 Inuse: 498
% 4.68/5.04 Deleted: 6
% 4.68/5.04 Deletedinuse: 2
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 53422
% 4.68/5.04 Kept: 15395
% 4.68/5.04 Inuse: 522
% 4.68/5.04 Deleted: 6
% 4.68/5.04 Deletedinuse: 2
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 62648
% 4.68/5.04 Kept: 17408
% 4.68/5.04 Inuse: 556
% 4.68/5.04 Deleted: 7
% 4.68/5.04 Deletedinuse: 3
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 73492
% 4.68/5.04 Kept: 19443
% 4.68/5.04 Inuse: 583
% 4.68/5.04 Deleted: 9
% 4.68/5.04 Deletedinuse: 5
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying clauses:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 80023
% 4.68/5.04 Kept: 21452
% 4.68/5.04 Inuse: 611
% 4.68/5.04 Deleted: 1036
% 4.68/5.04 Deletedinuse: 14
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 93193
% 4.68/5.04 Kept: 23562
% 4.68/5.04 Inuse: 632
% 4.68/5.04 Deleted: 1036
% 4.68/5.04 Deletedinuse: 14
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 106095
% 4.68/5.04 Kept: 25734
% 4.68/5.04 Inuse: 657
% 4.68/5.04 Deleted: 1036
% 4.68/5.04 Deletedinuse: 14
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 123213
% 4.68/5.04 Kept: 27761
% 4.68/5.04 Inuse: 674
% 4.68/5.04 Deleted: 1036
% 4.68/5.04 Deletedinuse: 14
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 138177
% 4.68/5.04 Kept: 29762
% 4.68/5.04 Inuse: 699
% 4.68/5.04 Deleted: 1050
% 4.68/5.04 Deletedinuse: 28
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Intermediate Status:
% 4.68/5.04 Generated: 150317
% 4.68/5.04 Kept: 31773
% 4.68/5.04 Inuse: 762
% 4.68/5.04 Deleted: 1067
% 4.68/5.04 Deletedinuse: 40
% 4.68/5.04
% 4.68/5.04 Resimplifying inuse:
% 4.68/5.04 Done
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 Bliksems!, er is een bewijs:
% 4.68/5.04 % SZS status Unsatisfiable
% 4.68/5.04 % SZS output start Refutation
% 4.68/5.04
% 4.68/5.04 clause( 7, [ ssList( nil ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 82, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ]
% 4.68/5.04 )
% 4.68/5.04 .
% 4.68/5.04 clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 4.68/5.04 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 182, [ ssList( sk1 ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 186, [ =( sk4, sk2 ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 187, [ =( sk3, sk1 ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 188, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 4.68/5.04 app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 189, [ ssList( sk5 ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 190, [ =( app( sk1, sk5 ), sk2 ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 228, [ ~( =( app( X, X ), app( X, Y ) ) ), ~( ssList( X ) ), ~(
% 4.68/5.04 ssList( Y ) ), =( X, Y ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 1972, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( app( app( Y, X ),
% 4.68/5.04 nil ), app( Y, X ) ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 29416, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( =( app( X, Y ), sk2
% 4.68/5.04 ) ), ~( =( X, sk1 ) ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 29539, [ ~( ssList( X ) ), ~( =( app( sk1, X ), sk2 ) ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 33859, [ ~( =( app( X, X ), app( X, sk5 ) ) ), ~( ssList( X ) ),
% 4.68/5.04 ~( ssList( sk5 ) ) ] )
% 4.68/5.04 .
% 4.68/5.04 clause( 33935, [] )
% 4.68/5.04 .
% 4.68/5.04
% 4.68/5.04
% 4.68/5.04 % SZS output end Refutation
% 4.68/5.04 found a proof!
% 4.68/5.04
% 4.68/5.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.68/5.04
% 4.68/5.04 initialclauses(
% 4.68/5.04 [ clause( 33937, [ equalelemsP( nil ) ] )
% 4.68/5.04 , clause( 33938, [ duplicatefreeP( nil ) ] )
% 4.68/5.04 , clause( 33939, [ strictorderedP( nil ) ] )
% 4.68/5.04 , clause( 33940, [ totalorderedP( nil ) ] )
% 4.68/5.04 , clause( 33941, [ strictorderP( nil ) ] )
% 4.68/5.04 , clause( 33942, [ totalorderP( nil ) ] )
% 4.68/5.04 , clause( 33943, [ cyclefreeP( nil ) ] )
% 4.68/5.04 , clause( 33944, [ ssList( nil ) ] )
% 4.68/5.04 , clause( 33945, [ ssItem( skac3 ) ] )
% 4.68/5.04 , clause( 33946, [ ssItem( skac2 ) ] )
% 4.68/5.04 , clause( 33947, [ ~( singletonP( nil ) ) ] )
% 4.68/5.04 , clause( 33948, [ ssItem( skaf83( X ) ) ] )
% 4.68/5.04 , clause( 33949, [ ssList( skaf82( X ) ) ] )
% 4.68/5.04 , clause( 33950, [ ssList( skaf81( X ) ) ] )
% 4.68/5.04 , clause( 33951, [ ssList( skaf80( X ) ) ] )
% 4.68/5.04 , clause( 33952, [ ssItem( skaf79( X ) ) ] )
% 4.68/5.04 , clause( 33953, [ ssItem( skaf78( X ) ) ] )
% 4.68/5.04 , clause( 33954, [ ssList( skaf77( X ) ) ] )
% 4.68/5.04 , clause( 33955, [ ssList( skaf76( X ) ) ] )
% 4.68/5.04 , clause( 33956, [ ssList( skaf75( X ) ) ] )
% 4.68/5.04 , clause( 33957, [ ssItem( skaf74( X ) ) ] )
% 4.68/5.04 , clause( 33958, [ ssList( skaf73( X ) ) ] )
% 4.68/5.04 , clause( 33959, [ ssList( skaf72( X ) ) ] )
% 4.68/5.04 , clause( 33960, [ ssList( skaf71( X ) ) ] )
% 4.68/5.04 , clause( 33961, [ ssItem( skaf70( X ) ) ] )
% 4.68/5.04 , clause( 33962, [ ssItem( skaf69( X ) ) ] )
% 4.68/5.04 , clause( 33963, [ ssList( skaf68( X ) ) ] )
% 4.68/5.04 , clause( 33964, [ ssList( skaf67( X ) ) ] )
% 4.68/5.04 , clause( 33965, [ ssList( skaf66( X ) ) ] )
% 4.68/5.04 , clause( 33966, [ ssItem( skaf65( X ) ) ] )
% 4.68/5.04 , clause( 33967, [ ssItem( skaf64( X ) ) ] )
% 4.68/5.04 , clause( 33968, [ ssList( skaf63( X ) ) ] )
% 4.68/5.04 , clause( 33969, [ ssList( skaf62( X ) ) ] )
% 4.68/5.04 , clause( 33970, [ ssList( skaf61( X ) ) ] )
% 4.68/5.04 , clause( 33971, [ ssItem( skaf60( X ) ) ] )
% 4.68/5.04 , clause( 33972, [ ssItem( skaf59( X ) ) ] )
% 4.68/5.04 , clause( 33973, [ ssList( skaf58( X ) ) ] )
% 4.68/5.04 , clause( 33974, [ ssList( skaf57( X ) ) ] )
% 4.68/5.04 , clause( 33975, [ ssList( skaf56( X ) ) ] )
% 4.68/5.04 , clause( 33976, [ ssItem( skaf55( X ) ) ] )
% 4.68/5.04 , clause( 33977, [ ssItem( skaf54( X ) ) ] )
% 4.68/5.04 , clause( 33978, [ ssList( skaf53( X ) ) ] )
% 4.68/5.04 , clause( 33979, [ ssList( skaf52( X ) ) ] )
% 4.68/5.04 , clause( 33980, [ ssList( skaf51( X ) ) ] )
% 4.68/5.04 , clause( 33981, [ ssItem( skaf50( X ) ) ] )
% 4.68/5.04 , clause( 33982, [ ssItem( skaf49( X ) ) ] )
% 4.68/5.04 , clause( 33983, [ ssItem( skaf44( X ) ) ] )
% 4.68/5.04 , clause( 33984, [ ssList( skaf48( X, Y ) ) ] )
% 4.68/5.04 , clause( 33985, [ ssList( skaf47( X, Y ) ) ] )
% 4.68/5.04 , clause( 33986, [ ssList( skaf46( X, Y ) ) ] )
% 4.68/5.04 , clause( 33987, [ ssList( skaf45( X, Y ) ) ] )
% 4.68/5.04 , clause( 33988, [ ssList( skaf43( X, Y ) ) ] )
% 4.68/5.04 , clause( 33989, [ ssList( skaf42( X, Y ) ) ] )
% 4.68/5.04 , clause( 33990, [ ~( =( skac3, skac2 ) ) ] )
% 4.68/5.04 , clause( 33991, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 4.68/5.04 , clause( 33992, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 4.68/5.04 , clause( 33993, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 4.68/5.04 , clause( 33994, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 4.68/5.04 , clause( 33995, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 4.68/5.04 , clause( 33996, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 4.68/5.04 , clause( 33997, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 4.68/5.04 , clause( 33998, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 4.68/5.04 , clause( 33999, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 4.68/5.04 , clause( 34000, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 4.68/5.04 , clause( 34001, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 4.68/5.04 , clause( 34002, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 4.68/5.04 , clause( 34003, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 4.68/5.04 , clause( 34004, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 4.68/5.04 , clause( 34005, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 4.68/5.04 , clause( 34006, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 4.68/5.04 , clause( 34007, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 4.68/5.04 , clause( 34008, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 4.68/5.04 , clause( 34009, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.68/5.04 , clause( 34010, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 4.68/5.04 , clause( 34011, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.68/5.04 , clause( 34012, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.68/5.04 , clause( 34013, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 4.68/5.04 , clause( 34014, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 4.68/5.04 , clause( 34015, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 4.68/5.04 )
% 4.68/5.04 , clause( 34016, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.68/5.04 )
% 4.68/5.04 , clause( 34017, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 4.68/5.04 )
% 4.68/5.04 , clause( 34018, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 4.68/5.04 )
% 4.68/5.04 , clause( 34019, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 4.68/5.04 ] )
% 4.68/5.04 , clause( 34020, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 4.68/5.04 ] )
% 4.68/5.04 , clause( 34021, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 4.68/5.04 ) ] )
% 4.68/5.04 , clause( 34022, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 4.68/5.04 ) ] )
% 4.68/5.04 , clause( 34023, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 4.68/5.04 skaf49( X ) ) ] )
% 4.68/5.04 , clause( 34024, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 4.68/5.04 skaf50( X ) ) ] )
% 4.68/5.04 , clause( 34025, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 4.68/5.04 equalelemsP( X ) ] )
% 4.68/5.04 , clause( 34026, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 4.68/5.04 strictorderedP( X ) ] )
% 4.68/5.04 , clause( 34027, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 4.68/5.04 totalorderedP( X ) ] )
% 4.68/5.04 , clause( 34028, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 4.68/5.04 strictorderP( X ) ] )
% 4.68/5.04 , clause( 34029, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 4.68/5.04 strictorderP( X ) ] )
% 4.68/5.04 , clause( 34030, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 4.68/5.04 totalorderP( X ) ] )
% 4.68/5.04 , clause( 34031, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 4.68/5.04 totalorderP( X ) ] )
% 4.68/5.04 , clause( 34032, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 4.68/5.04 ), Y ) ] )
% 4.68/5.04 , clause( 34033, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 4.68/5.04 ), X ) ] )
% 4.68/5.04 , clause( 34034, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 4.68/5.04 Y ) ) ] )
% 4.68/5.04 , clause( 34035, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.68/5.04 Y ) ) ] )
% 4.68/5.04 , clause( 34036, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 4.68/5.04 ) ] )
% 4.68/5.04 , clause( 34037, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 4.68/5.04 X ), nil ), X ) ] )
% 4.68/5.04 , clause( 34038, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 4.68/5.04 ) ] )
% 4.68/5.04 , clause( 34039, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 4.68/5.04 X, Y ) ] )
% 4.68/5.04 , clause( 34040, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 4.68/5.04 nil, X ) ] )
% 4.68/5.04 , clause( 34041, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.68/5.04 Y, X ) ] )
% 4.68/5.04 , clause( 34042, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 4.68/5.04 Y, X ) ] )
% 4.68/5.04 , clause( 34043, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 4.68/5.04 leq( Y, X ) ] )
% 4.68/5.04 , clause( 34044, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 4.68/5.04 geq( Y, X ) ] )
% 4.68/5.04 , clause( 34045, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 4.68/5.04 ), =( nil, X ) ] )
% 4.68/5.04 , clause( 34046, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.68/5.04 ssItem( Y ) ) ] )
% 4.68/5.04 , clause( 34047, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.68/5.04 ssItem( X ) ) ] )
% 4.68/5.04 , clause( 34048, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.68/5.04 strictorderedP( cons( Y, X ) ) ] )
% 4.68/5.04 , clause( 34049, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 4.68/5.04 totalorderedP( cons( Y, X ) ) ] )
% 4.68/5.04 , clause( 34050, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 4.68/5.04 ssItem( Y ) ) ] )
% 4.68/5.04 , clause( 34051, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 4.68/5.04 ssList( X ) ) ] )
% 4.68/5.04 , clause( 34052, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 4.68/5.04 Y ) ), singletonP( Y ) ] )
% 4.68/5.04 , clause( 34053, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 4.68/5.04 ssItem( X ) ) ] )
% 4.68/5.04 , clause( 34054, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.68/5.04 X ) ), =( nil, X ) ] )
% 4.68/5.04 , clause( 34055, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 4.68/5.04 X ) ), =( nil, Y ) ] )
% 4.68/5.04 , clause( 34056, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 4.68/5.04 ), Y ), cons( X, Y ) ) ] )
% 4.68/5.04 , clause( 34057, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.68/5.04 X, Y ), =( X, Y ) ] )
% 4.68/5.04 , clause( 34058, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 4.68/5.04 X, Y ), =( X, Y ) ] )
% 4.68/5.04 , clause( 34059, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 4.68/5.04 app( Y, X ) ), hd( Y ) ) ] )
% 4.68/5.04 , clause( 34060, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.68/5.04 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 4.68/5.04 , clause( 34061, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.68/5.04 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 4.68/5.04 , clause( 34062, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 4.68/5.04 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.68/5.04 , clause( 34063, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 4.68/5.04 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.68/5.04 , clause( 34064, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 4.68/5.04 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.68/5.04 , clause( 34065, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 4.68/5.04 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 4.68/5.04 , clause( 34066, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 4.68/5.04 ~( ssItem( Y ) ), =( Y, X ) ] )
% 4.68/5.04 , clause( 34067, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.68/5.04 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 4.68/5.04 , clause( 34068, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.68/5.04 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 4.68/5.04 , clause( 34069, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 4.68/5.04 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 4.68/5.04 , clause( 34070, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.68/5.04 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 4.68/5.04 , clause( 34071, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 4.68/5.04 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 4.68/5.04 , clause( 34072, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.68/5.04 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 4.68/5.04 , clause( 34073, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 4.68/5.04 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 4.68/5.04 , clause( 34074, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 4.68/5.04 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 4.68/5.04 , clause( 34075, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 4.68/5.04 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 4.68/5.04 , clause( 34076, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 4.68/5.04 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 4.68/5.04 , clause( 34077, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 4.68/5.04 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 4.68/5.04 , clause( 34078, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 4.68/5.04 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 4.68/5.04 , clause( 34079, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 4.68/5.04 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 4.68/5.04 , clause( 34080, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.68/5.04 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 4.68/5.04 , clause( 34081, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 4.68/5.04 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 4.68/5.04 , clause( 34082, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.68/5.04 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 4.68/5.04 , clause( 34083, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.68/5.04 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.68/5.04 , clause( 34084, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.68/5.04 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 4.68/5.04 , clause( 34085, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.68/5.04 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 4.68/5.04 , clause( 34086, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 4.68/5.04 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.68/5.04 , clause( 34087, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 4.68/5.04 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 4.68/5.04 , clause( 34088, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 4.68/5.04 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 4.68/5.04 , clause( 34089, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 4.68/5.04 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 4.68/5.04 , clause( 34090, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 4.68/5.04 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 4.68/5.04 , clause( 34091, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 4.68/5.04 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 4.68/5.04 , clause( 34092, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 4.68/5.04 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 4.68/5.04 , clause( 34093, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.68/5.04 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 4.68/5.04 , clause( 34094, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.68/5.04 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 4.68/5.04 , clause( 34095, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 4.68/5.04 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 4.68/5.04 ) ] )
% 4.68/5.04 , clause( 34096, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 4.68/5.04 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 4.68/5.04 Y ) ] )
% 4.68/5.04 , clause( 34097, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 4.68/5.04 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 4.68/5.04 , clause( 34098, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 4.68/5.04 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 4.68/5.04 skaf77( X ) ) ), X ) ] )
% 4.68/5.04 , clause( 34099, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 4.68/5.04 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 4.68/5.04 skaf73( X ) ) ), X ) ] )
% 4.68/5.04 , clause( 34100, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 4.68/5.04 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 4.68/5.04 skaf68( X ) ) ), X ) ] )
% 4.68/5.04 , clause( 34101, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 4.68/5.04 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 4.68/5.04 ), X ) ] )
% 4.68/5.04 , clause( 34102, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 4.68/5.04 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 4.68/5.04 ), X ) ] )
% 4.68/5.04 , clause( 34103, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 4.68/5.04 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 4.68/5.04 ), X ) ] )
% 4.68/5.04 , clause( 34104, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 4.68/5.04 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 4.68/5.04 , clause( 34105, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 4.68/5.04 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 4.68/5.04 , clause( 34106, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.68/5.04 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 4.68/5.04 , clause( 34107, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 4.68/5.04 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 4.68/5.04 , clause( 34108, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 4.68/5.04 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 4.68/5.04 Y ) ] )
% 4.68/5.04 , clause( 34109, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 4.68/5.04 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 4.68/5.04 )
% 4.68/5.04 , clause( 34110, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.68/5.04 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 4.68/5.04 , T ) ] )
% 4.68/5.04 , clause( 34111, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 4.68/5.04 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 4.68/5.04 )
% 4.68/5.04 , clause( 34112, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 4.68/5.04 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 4.68/5.04 )
% 4.68/5.04 , clause( 34113, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 4.68/5.04 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 4.68/5.04 )
% 4.68/5.04 , clause( 34114, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 4.68/5.04 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 4.68/5.04 Z, X ), cons( T, Y ) ) ] )
% 4.68/5.04 , clause( 34115, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 4.68/5.04 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 4.68/5.04 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 4.68/5.04 , clause( 34116, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 4.68/5.04 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 4.68/5.04 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 4.68/5.04 , clause( 34117, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.68/5.04 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.68/5.04 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 4.68/5.04 ) ] )
% 4.68/5.04 , clause( 34118, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.68/5.04 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.68/5.04 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 4.68/5.07 ) ] )
% 4.68/5.07 , clause( 34119, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.68/5.07 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.68/5.07 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 4.68/5.07 , lt( T, Y ) ] )
% 4.68/5.07 , clause( 34120, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 4.68/5.07 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 4.68/5.07 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 4.68/5.07 , leq( T, Y ) ] )
% 4.68/5.07 , clause( 34121, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 4.68/5.07 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 4.68/5.07 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 4.68/5.07 ) ), ~( ssList( W ) ) ] )
% 4.68/5.07 , clause( 34122, [ ssList( sk1 ) ] )
% 4.68/5.07 , clause( 34123, [ ssList( sk2 ) ] )
% 4.68/5.07 , clause( 34124, [ ssList( sk3 ) ] )
% 4.68/5.07 , clause( 34125, [ ssList( sk4 ) ] )
% 4.68/5.07 , clause( 34126, [ =( sk2, sk4 ) ] )
% 4.68/5.07 , clause( 34127, [ =( sk1, sk3 ) ] )
% 4.68/5.07 , clause( 34128, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.68/5.07 ~( =( app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 4.68/5.07 , clause( 34129, [ ssList( sk5 ) ] )
% 4.68/5.07 , clause( 34130, [ =( app( sk3, sk5 ), sk4 ) ] )
% 4.68/5.07 , clause( 34131, [ strictorderedP( sk3 ) ] )
% 4.68/5.07 , clause( 34132, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X,
% 4.68/5.07 nil ), Y ), sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T,
% 4.68/5.07 cons( Z, nil ) ), sk3 ) ), ~( lt( Z, X ) ) ] )
% 4.68/5.07 , clause( 34133, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 4.68/5.07 ] ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 7, [ ssList( nil ) ] )
% 4.68/5.07 , clause( 33944, [ ssList( nil ) ] )
% 4.68/5.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.68/5.07 , clause( 34009, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.68/5.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.68/5.07 1 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 82, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ]
% 4.68/5.07 )
% 4.68/5.07 , clause( 34021, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 4.68/5.07 ) ] )
% 4.68/5.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.68/5.07 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 4.68/5.07 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.68/5.07 , clause( 34086, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 4.68/5.07 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.68/5.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.68/5.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.68/5.07 ==>( 4, 4 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 182, [ ssList( sk1 ) ] )
% 4.68/5.07 , clause( 34122, [ ssList( sk1 ) ] )
% 4.68/5.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 eqswap(
% 4.68/5.07 clause( 35844, [ =( sk4, sk2 ) ] )
% 4.68/5.07 , clause( 34126, [ =( sk2, sk4 ) ] )
% 4.68/5.07 , 0, substitution( 0, [] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 186, [ =( sk4, sk2 ) ] )
% 4.68/5.07 , clause( 35844, [ =( sk4, sk2 ) ] )
% 4.68/5.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 eqswap(
% 4.68/5.07 clause( 36603, [ =( sk3, sk1 ) ] )
% 4.68/5.07 , clause( 34127, [ =( sk1, sk3 ) ] )
% 4.68/5.07 , 0, substitution( 0, [] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 187, [ =( sk3, sk1 ) ] )
% 4.68/5.07 , clause( 36603, [ =( sk3, sk1 ) ] )
% 4.68/5.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 188, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =(
% 4.68/5.07 app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 4.68/5.07 , clause( 34128, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 4.68/5.07 ~( =( app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 4.68/5.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.68/5.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.68/5.07 ==>( 4, 4 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 189, [ ssList( sk5 ) ] )
% 4.68/5.07 , clause( 34129, [ ssList( sk5 ) ] )
% 4.68/5.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 paramod(
% 4.68/5.07 clause( 39336, [ =( app( sk1, sk5 ), sk4 ) ] )
% 4.68/5.07 , clause( 187, [ =( sk3, sk1 ) ] )
% 4.68/5.07 , 0, clause( 34130, [ =( app( sk3, sk5 ), sk4 ) ] )
% 4.68/5.07 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 paramod(
% 4.68/5.07 clause( 39337, [ =( app( sk1, sk5 ), sk2 ) ] )
% 4.68/5.07 , clause( 186, [ =( sk4, sk2 ) ] )
% 4.68/5.07 , 0, clause( 39336, [ =( app( sk1, sk5 ), sk4 ) ] )
% 4.68/5.07 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 190, [ =( app( sk1, sk5 ), sk2 ) ] )
% 4.68/5.07 , clause( 39337, [ =( app( sk1, sk5 ), sk2 ) ] )
% 4.68/5.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 factor(
% 4.68/5.07 clause( 39340, [ ~( =( app( X, X ), app( X, Y ) ) ), ~( ssList( X ) ), ~(
% 4.68/5.07 ssList( Y ) ), =( X, Y ) ] )
% 4.68/5.07 , clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 4.68/5.07 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 4.68/5.07 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 228, [ ~( =( app( X, X ), app( X, Y ) ) ), ~( ssList( X ) ), ~(
% 4.68/5.07 ssList( Y ) ), =( X, Y ) ] )
% 4.68/5.07 , clause( 39340, [ ~( =( app( X, X ), app( X, Y ) ) ), ~( ssList( X ) ),
% 4.68/5.07 ~( ssList( Y ) ), =( X, Y ) ] )
% 4.68/5.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.68/5.07 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 eqswap(
% 4.68/5.07 clause( 39346, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 4.68/5.07 , clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 4.68/5.07 , 1, substitution( 0, [ :=( X, X )] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 resolution(
% 4.68/5.07 clause( 39347, [ =( app( X, Y ), app( app( X, Y ), nil ) ), ~( ssList( Y )
% 4.68/5.07 ), ~( ssList( X ) ) ] )
% 4.68/5.07 , clause( 39346, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 4.68/5.07 , 1, clause( 82, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 4.68/5.07 ) ] )
% 4.68/5.07 , 2, substitution( 0, [ :=( X, app( X, Y ) )] ), substitution( 1, [ :=( X,
% 4.68/5.07 Y ), :=( Y, X )] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 eqswap(
% 4.68/5.07 clause( 39348, [ =( app( app( X, Y ), nil ), app( X, Y ) ), ~( ssList( Y )
% 4.68/5.07 ), ~( ssList( X ) ) ] )
% 4.68/5.07 , clause( 39347, [ =( app( X, Y ), app( app( X, Y ), nil ) ), ~( ssList( Y
% 4.68/5.07 ) ), ~( ssList( X ) ) ] )
% 4.68/5.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 subsumption(
% 4.68/5.07 clause( 1972, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( app( app( Y, X ),
% 4.68/5.07 nil ), app( Y, X ) ) ] )
% 4.68/5.07 , clause( 39348, [ =( app( app( X, Y ), nil ), app( X, Y ) ), ~( ssList( Y
% 4.68/5.07 ) ), ~( ssList( X ) ) ] )
% 4.68/5.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 4.68/5.07 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 eqswap(
% 4.68/5.07 clause( 39351, [ ~( =( sk2, app( app( X, Y ), Z ) ) ), ~( ssList( X ) ),
% 4.68/5.07 ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 4.68/5.07 , clause( 188, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), ~(
% 4.68/5.07 =( app( app( X, Y ), Z ), sk2 ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 4.68/5.07 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 resolution(
% 4.68/5.07 clause( 39358, [ ~( =( sk2, app( app( X, Y ), nil ) ) ), ~( ssList( X ) ),
% 4.68/5.07 ~( ssList( Y ) ), ~( =( app( X, nil ), sk1 ) ) ] )
% 4.68/5.07 , clause( 39351, [ ~( =( sk2, app( app( X, Y ), Z ) ) ), ~( ssList( X ) ),
% 4.68/5.07 ~( ssList( Y ) ), ~( ssList( Z ) ), ~( =( app( X, Z ), sk1 ) ) ] )
% 4.68/5.07 , 3, clause( 7, [ ssList( nil ) ] )
% 4.68/5.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, nil )] ),
% 4.68/5.07 substitution( 1, [] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 paramod(
% 4.68/5.07 clause( 39401, [ ~( =( sk2, app( X, Y ) ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.68/5.07 ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~( =( app( X, nil ), sk1 ) ) ]
% 4.68/5.07 )
% 4.68/5.07 , clause( 1972, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( app( app( Y, X ),
% 4.68/5.07 nil ), app( Y, X ) ) ] )
% 4.68/5.07 , 2, clause( 39358, [ ~( =( sk2, app( app( X, Y ), nil ) ) ), ~( ssList( X
% 4.68/5.07 ) ), ~( ssList( Y ) ), ~( =( app( X, nil ), sk1 ) ) ] )
% 4.68/5.07 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.68/5.07 :=( X, X ), :=( Y, Y )] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 factor(
% 4.68/5.07 clause( 39403, [ ~( =( sk2, app( X, Y ) ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.68/5.07 ) ), ~( ssList( X ) ), ~( =( app( X, nil ), sk1 ) ) ] )
% 4.68/5.07 , clause( 39401, [ ~( =( sk2, app( X, Y ) ) ), ~( ssList( Y ) ), ~( ssList(
% 4.68/5.07 X ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~( =( app( X, nil ), sk1 ) ) ]
% 4.68/5.07 )
% 4.68/5.07 , 1, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.68/5.07
% 4.68/5.07
% 4.68/5.07 factor(
% 4.68/5.07 clause( 39405, [ ~( =( sk2, app( X, Y ) ) ), ~( ssList( Y ) ), ~( ssList( X
% 4.68/5.07 ) ), ~( =( app( X, nil ), sk1 ) ) ] )
% 4.68/5.07 , clause( 39403, [ ~( =( sk2, app( X, Y ) ) ), ~( ssList( Y ) ), ~( ssList(
% 4.68/5.07 X ) ), ~( ssList( X ) ), ~( =( app( X, nil ), sk1 ) ) ] )
% 4.68/5.07 , 2, 3, subsCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------