TSTP Solution File: SWC038-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC038-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 19:33:13 EDT 2022
% Result : Unsatisfiable 0.76s 1.24s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 22:03:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11 [
% 0.72/1.11 [ equalelemsP( nil ) ],
% 0.72/1.11 [ duplicatefreeP( nil ) ],
% 0.72/1.11 [ strictorderedP( nil ) ],
% 0.72/1.11 [ totalorderedP( nil ) ],
% 0.72/1.11 [ strictorderP( nil ) ],
% 0.72/1.11 [ totalorderP( nil ) ],
% 0.72/1.11 [ cyclefreeP( nil ) ],
% 0.72/1.11 [ ssList( nil ) ],
% 0.72/1.11 [ ssItem( skac3 ) ],
% 0.72/1.11 [ ssItem( skac2 ) ],
% 0.72/1.11 [ ~( singletonP( nil ) ) ],
% 0.72/1.11 [ ssItem( skaf83( X ) ) ],
% 0.72/1.11 [ ssList( skaf82( X ) ) ],
% 0.72/1.11 [ ssList( skaf81( X ) ) ],
% 0.72/1.11 [ ssList( skaf80( X ) ) ],
% 0.72/1.11 [ ssItem( skaf79( X ) ) ],
% 0.72/1.11 [ ssItem( skaf78( X ) ) ],
% 0.72/1.11 [ ssList( skaf77( X ) ) ],
% 0.72/1.11 [ ssList( skaf76( X ) ) ],
% 0.72/1.11 [ ssList( skaf75( X ) ) ],
% 0.72/1.11 [ ssItem( skaf74( X ) ) ],
% 0.72/1.11 [ ssList( skaf73( X ) ) ],
% 0.72/1.11 [ ssList( skaf72( X ) ) ],
% 0.72/1.11 [ ssList( skaf71( X ) ) ],
% 0.72/1.11 [ ssItem( skaf70( X ) ) ],
% 0.72/1.11 [ ssItem( skaf69( X ) ) ],
% 0.72/1.11 [ ssList( skaf68( X ) ) ],
% 0.72/1.11 [ ssList( skaf67( X ) ) ],
% 0.72/1.11 [ ssList( skaf66( X ) ) ],
% 0.72/1.11 [ ssItem( skaf65( X ) ) ],
% 0.72/1.11 [ ssItem( skaf64( X ) ) ],
% 0.72/1.11 [ ssList( skaf63( X ) ) ],
% 0.72/1.11 [ ssList( skaf62( X ) ) ],
% 0.72/1.11 [ ssList( skaf61( X ) ) ],
% 0.72/1.11 [ ssItem( skaf60( X ) ) ],
% 0.72/1.11 [ ssItem( skaf59( X ) ) ],
% 0.72/1.11 [ ssList( skaf58( X ) ) ],
% 0.72/1.11 [ ssList( skaf57( X ) ) ],
% 0.72/1.11 [ ssList( skaf56( X ) ) ],
% 0.72/1.11 [ ssItem( skaf55( X ) ) ],
% 0.72/1.11 [ ssItem( skaf54( X ) ) ],
% 0.72/1.11 [ ssList( skaf53( X ) ) ],
% 0.72/1.11 [ ssList( skaf52( X ) ) ],
% 0.72/1.11 [ ssList( skaf51( X ) ) ],
% 0.72/1.11 [ ssItem( skaf50( X ) ) ],
% 0.72/1.11 [ ssItem( skaf49( X ) ) ],
% 0.72/1.11 [ ssItem( skaf44( X ) ) ],
% 0.72/1.11 [ ssList( skaf48( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf47( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf46( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf45( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf43( X, Y ) ) ],
% 0.72/1.11 [ ssList( skaf42( X, Y ) ) ],
% 0.72/1.11 [ ~( =( skac3, skac2 ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.72/1.11 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.72/1.11 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.72/1.11 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.72/1.11 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.72/1.11 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.72/1.11 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.72/1.11 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.72/1.11 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.72/1.11 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.72/1.11 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.72/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.72/1.11 ],
% 0.72/1.11 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.72/1.11 X ) ],
% 0.72/1.11 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.72/1.11 X ) ],
% 0.72/1.11 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.72/1.11 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.11 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.72/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.11 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.72/1.11 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.72/1.11 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.72/1.11 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.72/1.11 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.72/1.12 cons( Y, X ) ) ],
% 0.72/1.12 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.72/1.12 cons( Y, X ) ) ],
% 0.72/1.12 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.72/1.12 singletonP( Y ) ],
% 0.72/1.12 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.12 , X ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.72/1.12 X, Y ) ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.72/1.12 , hd( Y ) ) ],
% 0.72/1.12 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.12 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.72/1.12 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.12 , totalorderedP( Y ), =( nil, Y ) ],
% 0.72/1.12 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.12 , =( Y, X ) ],
% 0.72/1.12 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.12 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.72/1.12 ssList( Y ) ), =( Y, X ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.72/1.12 , =( Y, X ) ],
% 0.72/1.12 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.72/1.12 skaf46( X, Y ), Y ), X ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.72/1.12 , skaf45( X, Y ) ), X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.72/1.12 , app( tl( Y ), X ) ) ],
% 0.72/1.12 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.72/1.12 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.12 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.72/1.12 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.72/1.12 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.72/1.12 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.72/1.12 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.72/1.12 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.72/1.12 memberP( cons( Y, Z ), X ) ],
% 0.72/1.12 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.72/1.12 ) ), memberP( cons( Z, X ), Y ) ],
% 0.72/1.12 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.72/1.12 ) ), memberP( app( X, Z ), Y ) ],
% 0.72/1.12 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.72/1.12 ) ), memberP( app( Z, X ), Y ) ],
% 0.72/1.12 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.72/1.12 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.72/1.12 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.72/1.12 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.72/1.12 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.12 , =( app( X, Y ), nil ) ],
% 0.72/1.12 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.72/1.12 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.12 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.72/1.12 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.72/1.12 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.72/1.12 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.72/1.12 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.72/1.12 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.72/1.12 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.12 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.72/1.12 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.12 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.72/1.12 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.72/1.12 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.72/1.12 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.72/1.12 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.72/1.12 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.72/1.12 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.72/1.12 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.72/1.12 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.72/1.12 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.72/1.12 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.72/1.12 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.72/1.12 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.12 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.72/1.12 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.72/1.12 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.72/1.12 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.72/1.12 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.72/1.12 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.72/1.12 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.72/1.12 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.72/1.12 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.72/1.12 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.72/1.12 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.72/1.12 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.72/1.12 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.72/1.12 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.72/1.12 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.12 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.72/1.12 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.72/1.12 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.72/1.12 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.76/1.24 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.76/1.24 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.76/1.24 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.76/1.24 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.76/1.24 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.76/1.24 ,
% 0.76/1.24 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.76/1.24 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.76/1.24 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.76/1.24 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.76/1.24 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.76/1.24 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.76/1.24 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.76/1.24 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.76/1.24 T, Y ) ) ],
% 0.76/1.24 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.76/1.24 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.76/1.24 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.76/1.24 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.76/1.24 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.76/1.24 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.76/1.24 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.24 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.24 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.76/1.24 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.24 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.24 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.76/1.24 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.24 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.24 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.76/1.24 ,
% 0.76/1.24 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.76/1.24 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.76/1.24 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.76/1.24 ,
% 0.76/1.24 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.76/1.24 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.76/1.24 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.76/1.24 W ) ) ],
% 0.76/1.24 [ ssList( sk1 ) ],
% 0.76/1.24 [ ssList( sk2 ) ],
% 0.76/1.24 [ ssList( sk3 ) ],
% 0.76/1.24 [ ssList( sk4 ) ],
% 0.76/1.24 [ =( nil, sk2 ) ],
% 0.76/1.24 [ =( sk2, sk4 ) ],
% 0.76/1.24 [ =( sk1, sk3 ) ],
% 0.76/1.24 [ ~( =( nil, sk1 ) ) ],
% 0.76/1.24 [ =( nil, sk4 ), neq( sk3, nil ) ],
% 0.76/1.24 [ =( nil, sk4 ), frontsegP( sk4, sk3 ) ],
% 0.76/1.24 [ =( nil, sk3 ), neq( sk3, nil ) ],
% 0.76/1.24 [ =( nil, sk3 ), frontsegP( sk4, sk3 ) ]
% 0.76/1.24 ] .
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 percentage equality = 0.169130, percentage horn = 0.824742
% 0.76/1.24 This is a problem with some equality
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Options Used:
% 0.76/1.24
% 0.76/1.24 useres = 1
% 0.76/1.24 useparamod = 1
% 0.76/1.24 useeqrefl = 1
% 0.76/1.24 useeqfact = 1
% 0.76/1.24 usefactor = 1
% 0.76/1.24 usesimpsplitting = 0
% 0.76/1.24 usesimpdemod = 5
% 0.76/1.24 usesimpres = 3
% 0.76/1.24
% 0.76/1.24 resimpinuse = 1000
% 0.76/1.24 resimpclauses = 20000
% 0.76/1.24 substype = eqrewr
% 0.76/1.24 backwardsubs = 1
% 0.76/1.24 selectoldest = 5
% 0.76/1.24
% 0.76/1.24 litorderings [0] = split
% 0.76/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.24
% 0.76/1.24 termordering = kbo
% 0.76/1.24
% 0.76/1.24 litapriori = 0
% 0.76/1.24 termapriori = 1
% 0.76/1.24 litaposteriori = 0
% 0.76/1.24 termaposteriori = 0
% 0.76/1.24 demodaposteriori = 0
% 0.76/1.24 ordereqreflfact = 0
% 0.76/1.24
% 0.76/1.24 litselect = negord
% 0.76/1.24
% 0.76/1.24 maxweight = 15
% 0.76/1.24 maxdepth = 30000
% 0.76/1.24 maxlength = 115
% 0.76/1.24 maxnrvars = 195
% 0.76/1.24 excuselevel = 1
% 0.76/1.24 increasemaxweight = 1
% 0.76/1.24
% 0.76/1.24 maxselected = 10000000
% 0.76/1.24 maxnrclauses = 10000000
% 0.76/1.24
% 0.76/1.24 showgenerated = 0
% 0.76/1.24 showkept = 0
% 0.76/1.24 showselected = 0
% 0.76/1.24 showdeleted = 0
% 0.76/1.24 showresimp = 1
% 0.76/1.24 showstatus = 2000
% 0.76/1.24
% 0.76/1.24 prologoutput = 1
% 0.76/1.24 nrgoals = 5000000
% 0.76/1.24 totalproof = 1
% 0.76/1.24
% 0.76/1.24 Symbols occurring in the translation:
% 0.76/1.24
% 0.76/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.24 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.76/1.24 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.76/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.24 nil [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.76/1.24 equalelemsP [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.76/1.24 duplicatefreeP [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.76/1.24 strictorderedP [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.76/1.24 totalorderedP [43, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.76/1.24 strictorderP [44, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.76/1.24 totalorderP [45, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.76/1.24 cyclefreeP [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.76/1.24 ssList [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.76/1.24 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.76/1.24 ssItem [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.76/1.24 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.76/1.24 singletonP [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.76/1.24 skaf83 [53, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.76/1.24 skaf82 [54, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.76/1.24 skaf81 [55, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.76/1.24 skaf80 [56, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.76/1.24 skaf79 [57, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.76/1.24 skaf78 [58, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.76/1.24 skaf77 [59, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.76/1.24 skaf76 [60, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.76/1.24 skaf75 [61, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.76/1.24 skaf74 [62, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.76/1.24 skaf73 [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.76/1.24 skaf72 [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.76/1.24 skaf71 [65, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.76/1.24 skaf70 [66, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.76/1.24 skaf69 [67, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.76/1.24 skaf68 [68, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.24 skaf67 [69, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.76/1.24 skaf66 [70, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.76/1.24 skaf65 [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.76/1.24 skaf64 [72, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.76/1.24 skaf63 [73, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.76/1.24 skaf62 [74, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.76/1.24 skaf61 [75, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.76/1.24 skaf60 [76, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.24 skaf59 [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.24 skaf58 [78, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.76/1.24 skaf57 [79, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.76/1.24 skaf56 [80, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.76/1.24 skaf55 [81, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.76/1.24 skaf54 [82, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.76/1.24 skaf53 [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.76/1.24 skaf52 [84, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.76/1.24 skaf51 [85, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.76/1.24 skaf50 [86, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.76/1.24 skaf49 [87, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.76/1.24 skaf44 [88, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.76/1.24 skaf48 [90, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.76/1.24 skaf47 [91, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.76/1.24 skaf46 [92, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.76/1.24 skaf45 [93, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.76/1.24 skaf43 [94, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.76/1.24 skaf42 [95, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.76/1.24 geq [96, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.76/1.24 segmentP [97, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.76/1.24 rearsegP [98, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.76/1.24 frontsegP [99, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.76/1.24 leq [100, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.76/1.24 lt [101, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.76/1.24 cons [102, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.76/1.24 memberP [103, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.76/1.24 app [104, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.76/1.24 tl [105, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.76/1.24 hd [106, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.76/1.24 neq [107, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.76/1.24 gt [108, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.76/1.24 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.76/1.24 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.76/1.24 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.76/1.24 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Starting Search:
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24 Done
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Intermediate Status:
% 0.76/1.24 Generated: 4415
% 0.76/1.24 Kept: 2425
% 0.76/1.24 Inuse: 267
% 0.76/1.24 Deleted: 34
% 0.76/1.24 Deletedinuse: 0
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24 Done
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24 Done
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Bliksems!, er is een bewijs:
% 0.76/1.24 % SZS status Unsatisfiable
% 0.76/1.24 % SZS output start Refutation
% 0.76/1.24
% 0.76/1.24 clause( 59, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 125, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X
% 0.76/1.24 ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 182, [ ssList( sk1 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 183, [ ssList( sk2 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 186, [ =( nil, sk2 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 187, [ =( sk4, sk2 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 188, [ =( sk3, sk1 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 189, [ ~( =( sk2, sk1 ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 191, [ =( sk2, sk1 ), frontsegP( sk2, sk1 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 476, [ ~( ssList( X ) ), frontsegP( X, sk2 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 504, [ frontsegP( sk1, sk1 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 567, [ frontsegP( sk1, sk2 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 4180, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), =( sk2, sk1 ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 4373, [ ~( =( X, sk1 ) ), ~( frontsegP( sk2, X ) ), ~( ssList( X )
% 0.76/1.24 ), ~( ssList( sk2 ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 4384, [ ~( ssList( sk2 ) ), ~( frontsegP( sk1, sk1 ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 4391, [] )
% 0.76/1.24 .
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 % SZS output end Refutation
% 0.76/1.24 found a proof!
% 0.76/1.24
% 0.76/1.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.24
% 0.76/1.24 initialclauses(
% 0.76/1.24 [ clause( 4393, [ equalelemsP( nil ) ] )
% 0.76/1.24 , clause( 4394, [ duplicatefreeP( nil ) ] )
% 0.76/1.24 , clause( 4395, [ strictorderedP( nil ) ] )
% 0.76/1.24 , clause( 4396, [ totalorderedP( nil ) ] )
% 0.76/1.24 , clause( 4397, [ strictorderP( nil ) ] )
% 0.76/1.24 , clause( 4398, [ totalorderP( nil ) ] )
% 0.76/1.24 , clause( 4399, [ cyclefreeP( nil ) ] )
% 0.76/1.24 , clause( 4400, [ ssList( nil ) ] )
% 0.76/1.24 , clause( 4401, [ ssItem( skac3 ) ] )
% 0.76/1.24 , clause( 4402, [ ssItem( skac2 ) ] )
% 0.76/1.24 , clause( 4403, [ ~( singletonP( nil ) ) ] )
% 0.76/1.24 , clause( 4404, [ ssItem( skaf83( X ) ) ] )
% 0.76/1.24 , clause( 4405, [ ssList( skaf82( X ) ) ] )
% 0.76/1.24 , clause( 4406, [ ssList( skaf81( X ) ) ] )
% 0.76/1.24 , clause( 4407, [ ssList( skaf80( X ) ) ] )
% 0.76/1.24 , clause( 4408, [ ssItem( skaf79( X ) ) ] )
% 0.76/1.24 , clause( 4409, [ ssItem( skaf78( X ) ) ] )
% 0.76/1.24 , clause( 4410, [ ssList( skaf77( X ) ) ] )
% 0.76/1.24 , clause( 4411, [ ssList( skaf76( X ) ) ] )
% 0.76/1.24 , clause( 4412, [ ssList( skaf75( X ) ) ] )
% 0.76/1.24 , clause( 4413, [ ssItem( skaf74( X ) ) ] )
% 0.76/1.24 , clause( 4414, [ ssList( skaf73( X ) ) ] )
% 0.76/1.24 , clause( 4415, [ ssList( skaf72( X ) ) ] )
% 0.76/1.24 , clause( 4416, [ ssList( skaf71( X ) ) ] )
% 0.76/1.24 , clause( 4417, [ ssItem( skaf70( X ) ) ] )
% 0.76/1.24 , clause( 4418, [ ssItem( skaf69( X ) ) ] )
% 0.76/1.24 , clause( 4419, [ ssList( skaf68( X ) ) ] )
% 0.76/1.24 , clause( 4420, [ ssList( skaf67( X ) ) ] )
% 0.76/1.24 , clause( 4421, [ ssList( skaf66( X ) ) ] )
% 0.76/1.24 , clause( 4422, [ ssItem( skaf65( X ) ) ] )
% 0.76/1.24 , clause( 4423, [ ssItem( skaf64( X ) ) ] )
% 0.76/1.24 , clause( 4424, [ ssList( skaf63( X ) ) ] )
% 0.76/1.24 , clause( 4425, [ ssList( skaf62( X ) ) ] )
% 0.76/1.24 , clause( 4426, [ ssList( skaf61( X ) ) ] )
% 0.76/1.24 , clause( 4427, [ ssItem( skaf60( X ) ) ] )
% 0.76/1.24 , clause( 4428, [ ssItem( skaf59( X ) ) ] )
% 0.76/1.24 , clause( 4429, [ ssList( skaf58( X ) ) ] )
% 0.76/1.24 , clause( 4430, [ ssList( skaf57( X ) ) ] )
% 0.76/1.24 , clause( 4431, [ ssList( skaf56( X ) ) ] )
% 0.76/1.24 , clause( 4432, [ ssItem( skaf55( X ) ) ] )
% 0.76/1.24 , clause( 4433, [ ssItem( skaf54( X ) ) ] )
% 0.76/1.24 , clause( 4434, [ ssList( skaf53( X ) ) ] )
% 0.76/1.24 , clause( 4435, [ ssList( skaf52( X ) ) ] )
% 0.76/1.24 , clause( 4436, [ ssList( skaf51( X ) ) ] )
% 0.76/1.24 , clause( 4437, [ ssItem( skaf50( X ) ) ] )
% 0.76/1.24 , clause( 4438, [ ssItem( skaf49( X ) ) ] )
% 0.76/1.24 , clause( 4439, [ ssItem( skaf44( X ) ) ] )
% 0.76/1.24 , clause( 4440, [ ssList( skaf48( X, Y ) ) ] )
% 0.76/1.24 , clause( 4441, [ ssList( skaf47( X, Y ) ) ] )
% 0.76/1.24 , clause( 4442, [ ssList( skaf46( X, Y ) ) ] )
% 0.76/1.24 , clause( 4443, [ ssList( skaf45( X, Y ) ) ] )
% 0.76/1.24 , clause( 4444, [ ssList( skaf43( X, Y ) ) ] )
% 0.76/1.24 , clause( 4445, [ ssList( skaf42( X, Y ) ) ] )
% 0.76/1.24 , clause( 4446, [ ~( =( skac3, skac2 ) ) ] )
% 0.76/1.24 , clause( 4447, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 0.76/1.24 , clause( 4448, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 0.76/1.24 , clause( 4449, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 0.76/1.24 , clause( 4450, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 0.76/1.24 , clause( 4451, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 0.76/1.24 , clause( 4452, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 0.76/1.24 , clause( 4453, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 0.76/1.24 , clause( 4454, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 0.76/1.24 , clause( 4455, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 0.76/1.24 , clause( 4456, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 0.76/1.24 , clause( 4457, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 0.76/1.24 , clause( 4458, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 0.76/1.24 , clause( 4459, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 0.76/1.24 , clause( 4460, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 0.76/1.24 , clause( 4461, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 0.76/1.24 , clause( 4462, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 0.76/1.24 , clause( 4463, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 0.76/1.24 , clause( 4464, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 0.76/1.24 , clause( 4465, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 0.76/1.24 , clause( 4466, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 0.76/1.24 , clause( 4467, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 0.76/1.24 , clause( 4468, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 0.76/1.24 , clause( 4469, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 0.76/1.24 , clause( 4470, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 0.76/1.24 , clause( 4471, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 4472, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 4473, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 4474, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 4475, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 4476, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 4477, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) )
% 0.76/1.24 ] )
% 0.76/1.24 , clause( 4478, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 0.76/1.24 ) ] )
% 0.76/1.24 , clause( 4479, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 0.76/1.24 skaf49( X ) ) ] )
% 0.76/1.24 , clause( 4480, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 0.76/1.24 skaf50( X ) ) ] )
% 0.76/1.24 , clause( 4481, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 0.76/1.24 equalelemsP( X ) ] )
% 0.76/1.24 , clause( 4482, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 0.76/1.24 strictorderedP( X ) ] )
% 0.76/1.24 , clause( 4483, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 0.76/1.24 totalorderedP( X ) ] )
% 0.76/1.24 , clause( 4484, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 0.76/1.24 strictorderP( X ) ] )
% 0.76/1.24 , clause( 4485, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 0.76/1.24 strictorderP( X ) ] )
% 0.76/1.24 , clause( 4486, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 0.76/1.24 totalorderP( X ) ] )
% 0.76/1.24 , clause( 4487, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 0.76/1.24 totalorderP( X ) ] )
% 0.76/1.24 , clause( 4488, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) )
% 0.76/1.24 , Y ) ] )
% 0.76/1.24 , clause( 4489, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) )
% 0.76/1.24 , X ) ] )
% 0.76/1.24 , clause( 4490, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 0.76/1.24 Y ) ) ] )
% 0.76/1.24 , clause( 4491, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y
% 0.76/1.24 ) ) ] )
% 0.76/1.24 , clause( 4492, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 0.76/1.24 ) ] )
% 0.76/1.24 , clause( 4493, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 0.76/1.24 X ), nil ), X ) ] )
% 0.76/1.24 , clause( 4494, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 0.76/1.24 ) ] )
% 0.76/1.24 , clause( 4495, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 0.76/1.24 X, Y ) ] )
% 0.76/1.24 , clause( 4496, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 0.76/1.24 nil, X ) ] )
% 0.76/1.24 , clause( 4497, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 0.76/1.24 Y, X ) ] )
% 0.76/1.24 , clause( 4498, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 0.76/1.24 Y, X ) ] )
% 0.76/1.24 , clause( 4499, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 0.76/1.24 Y, X ) ] )
% 0.76/1.24 , clause( 4500, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq(
% 0.76/1.24 Y, X ) ] )
% 0.76/1.24 , clause( 4501, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 0.76/1.24 ), =( nil, X ) ] )
% 0.76/1.24 , clause( 4502, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.76/1.24 ssItem( Y ) ) ] )
% 0.76/1.24 , clause( 4503, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 0.76/1.24 ssItem( X ) ) ] )
% 0.76/1.24 , clause( 4504, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 0.76/1.24 strictorderedP( cons( Y, X ) ) ] )
% 0.76/1.24 , clause( 4505, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 0.76/1.24 totalorderedP( cons( Y, X ) ) ] )
% 0.76/1.24 , clause( 4506, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.76/1.24 ssItem( Y ) ) ] )
% 0.76/1.24 , clause( 4507, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 0.76/1.24 ssList( X ) ) ] )
% 0.76/1.24 , clause( 4508, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 0.76/1.24 Y ) ), singletonP( Y ) ] )
% 0.76/1.24 , clause( 4509, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 0.76/1.24 ssItem( X ) ) ] )
% 0.76/1.24 , clause( 4510, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 0.76/1.24 X ) ), =( nil, X ) ] )
% 0.76/1.24 , clause( 4511, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 0.76/1.24 X ) ), =( nil, Y ) ] )
% 0.76/1.24 , clause( 4512, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 0.76/1.24 ), Y ), cons( X, Y ) ) ] )
% 0.76/1.24 , clause( 4513, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 0.76/1.24 X, Y ), =( X, Y ) ] )
% 0.76/1.24 , clause( 4514, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 0.76/1.24 X, Y ), =( X, Y ) ] )
% 0.76/1.24 , clause( 4515, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 0.76/1.24 app( Y, X ) ), hd( Y ) ) ] )
% 0.76/1.24 , clause( 4516, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 0.76/1.24 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 0.76/1.24 , clause( 4517, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~(
% 0.76/1.24 ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 0.76/1.24 , clause( 4518, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.76/1.24 ssItem( Y ) ), =( Y, X ) ] )
% 0.76/1.24 , clause( 4519, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 0.76/1.24 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.24 , clause( 4520, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 0.76/1.24 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.24 , clause( 4521, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList(
% 0.76/1.24 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.24 , clause( 4522, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.76/1.24 ssItem( Y ) ), =( Y, X ) ] )
% 0.76/1.24 , clause( 4523, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.76/1.24 , =( app( skaf46( X, Y ), Y ), X ) ] )
% 0.76/1.24 , clause( 4524, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 0.76/1.24 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 0.76/1.24 , clause( 4525, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 0.76/1.24 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 0.76/1.24 , clause( 4526, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 0.76/1.24 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 0.76/1.24 , clause( 4527, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~(
% 0.76/1.24 ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 0.76/1.24 , clause( 4528, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) )
% 0.76/1.24 , ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 0.76/1.24 , clause( 4529, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 0.76/1.24 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 0.76/1.24 , clause( 4530, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 0.76/1.24 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 0.76/1.24 , clause( 4531, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 0.76/1.24 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 0.76/1.24 , clause( 4532, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.76/1.24 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 0.76/1.24 , clause( 4533, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 0.76/1.24 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 0.76/1.24 , clause( 4534, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ),
% 0.76/1.24 cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 0.76/1.24 , clause( 4535, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 0.76/1.24 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 0.76/1.24 , clause( 4536, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.76/1.24 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 0.76/1.24 , clause( 4537, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 0.76/1.24 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 0.76/1.24 , clause( 4538, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.76/1.24 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 0.76/1.24 , clause( 4539, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.76/1.24 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 0.76/1.24 , clause( 4540, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.76/1.24 ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 0.76/1.24 , clause( 4541, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =(
% 0.76/1.24 app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 0.76/1.24 , clause( 4542, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 0.76/1.24 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 0.76/1.24 , clause( 4543, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~(
% 0.76/1.24 ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 0.76/1.24 , clause( 4544, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 0.76/1.24 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 0.76/1.24 , clause( 4545, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 0.76/1.24 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 0.76/1.24 , clause( 4546, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList(
% 0.76/1.24 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 0.76/1.24 , clause( 4547, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.76/1.24 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 0.76/1.24 , clause( 4548, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.76/1.24 ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 0.76/1.24 , clause( 4549, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =(
% 0.76/1.24 cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 0.76/1.24 , clause( 4550, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 0.76/1.24 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 0.76/1.24 , clause( 4551, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 0.76/1.24 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 0.76/1.24 ) ] )
% 0.76/1.24 , clause( 4552, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 0.76/1.24 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 0.76/1.24 Y ) ] )
% 0.76/1.24 , clause( 4553, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 0.76/1.24 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 0.76/1.24 , clause( 4554, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 0.76/1.24 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 0.76/1.24 skaf77( X ) ) ), X ) ] )
% 0.76/1.24 , clause( 4555, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 0.76/1.24 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 0.76/1.24 skaf73( X ) ) ), X ) ] )
% 0.76/1.24 , clause( 4556, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66(
% 0.76/1.24 X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) )
% 0.76/1.24 ), X ) ] )
% 0.76/1.24 , clause( 4557, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 0.76/1.24 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 0.76/1.24 ), X ) ] )
% 0.76/1.24 , clause( 4558, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 0.76/1.24 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 0.76/1.24 ), X ) ] )
% 0.76/1.24 , clause( 4559, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X
% 0.76/1.24 ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 0.76/1.24 ), X ) ] )
% 0.76/1.24 , clause( 4560, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.76/1.24 , =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 0.76/1.24 , clause( 4561, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 0.76/1.24 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 0.76/1.24 , clause( 4562, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 0.76/1.24 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 0.76/1.24 , clause( 4563, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 0.76/1.24 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 0.76/1.24 , clause( 4564, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) )
% 0.76/1.24 , ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y
% 0.76/1.24 ) ] )
% 0.76/1.24 , clause( 4565, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~(
% 0.76/1.24 ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 0.76/1.24 , clause( 4566, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 0.76/1.24 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 0.76/1.24 , T ) ] )
% 0.76/1.24 , clause( 4567, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 0.76/1.24 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 4568, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 0.76/1.24 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 4569, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 0.76/1.24 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 0.76/1.40 )
% 0.76/1.40 , clause( 4570, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 0.76/1.40 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 0.76/1.40 Z, X ), cons( T, Y ) ) ] )
% 0.76/1.40 , clause( 4571, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 0.76/1.40 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 0.76/1.40 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 0.76/1.40 , clause( 4572, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList(
% 0.76/1.40 T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 0.76/1.40 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 0.76/1.40 , clause( 4573, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.76/1.40 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.76/1.40 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 0.76/1.40 ) ] )
% 0.76/1.40 , clause( 4574, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.76/1.40 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.76/1.40 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 0.76/1.40 ) ] )
% 0.76/1.40 , clause( 4575, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.76/1.40 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.76/1.40 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 0.76/1.40 , lt( T, Y ) ] )
% 0.76/1.40 , clause( 4576, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 0.76/1.40 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 0.76/1.40 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 0.76/1.40 , leq( T, Y ) ] )
% 0.76/1.40 , clause( 4577, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 0.76/1.40 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 0.76/1.40 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 0.76/1.40 ) ), ~( ssList( W ) ) ] )
% 0.76/1.40 , clause( 4578, [ ssList( sk1 ) ] )
% 0.76/1.40 , clause( 4579, [ ssList( sk2 ) ] )
% 0.76/1.40 , clause( 4580, [ ssList( sk3 ) ] )
% 0.76/1.40 , clause( 4581, [ ssList( sk4 ) ] )
% 0.76/1.40 , clause( 4582, [ =( nil, sk2 ) ] )
% 0.76/1.40 , clause( 4583, [ =( sk2, sk4 ) ] )
% 0.76/1.40 , clause( 4584, [ =( sk1, sk3 ) ] )
% 0.76/1.40 , clause( 4585, [ ~( =( nil, sk1 ) ) ] )
% 0.76/1.40 , clause( 4586, [ =( nil, sk4 ), neq( sk3, nil ) ] )
% 0.76/1.40 , clause( 4587, [ =( nil, sk4 ), frontsegP( sk4, sk3 ) ] )
% 0.76/1.40 , clause( 4588, [ =( nil, sk3 ), neq( sk3, nil ) ] )
% 0.76/1.40 , clause( 4589, [ =( nil, sk3 ), frontsegP( sk4, sk3 ) ] )
% 0.76/1.40 ] ).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 subsumption(
% 0.76/1.40 clause( 59, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 0.76/1.40 , clause( 4452, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 0.76/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.76/1.40 1 )] ) ).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 subsumption(
% 0.76/1.40 clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 0.76/1.40 , clause( 4453, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 0.76/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.76/1.40 1 )] ) ).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 subsumption(
% 0.76/1.40 clause( 125, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X
% 0.76/1.40 ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.40 , clause( 4521, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList(
% 0.76/1.40 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.40 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 subsumption(
% 0.76/1.40 clause( 182, [ ssList( sk1 ) ] )
% 0.76/1.40 , clause( 4578, [ ssList( sk1 ) ] )
% 0.76/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 subsumption(
% 0.76/1.40 clause( 183, [ ssList( sk2 ) ] )
% 0.76/1.40 , clause( 4579, [ ssList( sk2 ) ] )
% 0.76/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 subsumption(
% 0.76/1.40 clause( 186, [ =( nil, sk2 ) ] )
% 0.76/1.40 , clause( 4582, [ =( nil, sk2 ) ] )
% 0.76/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 eqswap(
% 0.76/1.40 clause( 7706, [ =( sk4, sk2 ) ] )
% 0.76/1.40 , clause( 4583, [ =( sk2, sk4 ) ] )
% 0.76/1.40 , 0, substitution( 0, [] )).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 subsumption(
% 0.76/1.40 clause( 187, [ =( sk4, sk2 ) ] )
% 0.76/1.40 , clause( 7706, [ =( sk4, sk2 ) ] )
% 0.76/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 eqswap(
% 0.76/1.40 clause( 8466, [ =( sk3, sk1 ) ] )
% 0.76/1.40 , clause( 4584, [ =( sk1, sk3 ) ] )
% 0.76/1.40 , 0, substitution( 0, [] )).
% 0.76/1.40
% 0.76/1.40
% 0.76/1.40 subsumption(
% 0.76/1.40 clause( 188, [ =( sk3, sk1 ) ] )
% 0.76/1.40 , clause( 8466, [ =( sk3, sk1 ) ] )
% 0.76/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 paramod(
% 0.76/1.41 clause( 15981, [ ~( =( sk2, sk1 ) ) ] )
% 0.76/1.41 , clause( 186, [ =( nil, sk2 ) ] )
% 0.76/1.41 , 0, clause( 4585, [ ~( =( nil, sk1 ) ) ] )
% 0.76/1.41 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 subsumption(
% 0.76/1.41 clause( 189, [ ~( =( sk2, sk1 ) ) ] )
% 0.76/1.41 , clause( 15981, [ ~( =( sk2, sk1 ) ) ] )
% 0.76/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 paramod(
% 0.76/1.41 clause( 18864, [ =( sk2, sk3 ), frontsegP( sk4, sk3 ) ] )
% 0.76/1.41 , clause( 186, [ =( nil, sk2 ) ] )
% 0.76/1.41 , 0, clause( 4589, [ =( nil, sk3 ), frontsegP( sk4, sk3 ) ] )
% 0.76/1.41 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 paramod(
% 0.76/1.41 clause( 18865, [ frontsegP( sk2, sk3 ), =( sk2, sk3 ) ] )
% 0.76/1.41 , clause( 187, [ =( sk4, sk2 ) ] )
% 0.76/1.41 , 0, clause( 18864, [ =( sk2, sk3 ), frontsegP( sk4, sk3 ) ] )
% 0.76/1.41 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 paramod(
% 0.76/1.41 clause( 18867, [ =( sk2, sk1 ), frontsegP( sk2, sk3 ) ] )
% 0.76/1.41 , clause( 188, [ =( sk3, sk1 ) ] )
% 0.76/1.41 , 0, clause( 18865, [ frontsegP( sk2, sk3 ), =( sk2, sk3 ) ] )
% 0.76/1.41 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 paramod(
% 0.76/1.41 clause( 18869, [ frontsegP( sk2, sk1 ), =( sk2, sk1 ) ] )
% 0.76/1.41 , clause( 188, [ =( sk3, sk1 ) ] )
% 0.76/1.41 , 0, clause( 18867, [ =( sk2, sk1 ), frontsegP( sk2, sk3 ) ] )
% 0.76/1.41 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 subsumption(
% 0.76/1.41 clause( 191, [ =( sk2, sk1 ), frontsegP( sk2, sk1 ) ] )
% 0.76/1.41 , clause( 18869, [ frontsegP( sk2, sk1 ), =( sk2, sk1 ) ] )
% 0.76/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.76/1.41 ).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 paramod(
% 0.76/1.41 clause( 18872, [ frontsegP( X, sk2 ), ~( ssList( X ) ) ] )
% 0.76/1.41 , clause( 186, [ =( nil, sk2 ) ] )
% 0.76/1.41 , 0, clause( 59, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 0.76/1.41 , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 subsumption(
% 0.76/1.41 clause( 476, [ ~( ssList( X ) ), frontsegP( X, sk2 ) ] )
% 0.76/1.41 , clause( 18872, [ frontsegP( X, sk2 ), ~( ssList( X ) ) ] )
% 0.76/1.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.76/1.41 0 )] ) ).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 resolution(
% 0.76/1.41 clause( 18873, [ frontsegP( sk1, sk1 ) ] )
% 0.76/1.41 , clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 0.76/1.41 , 0, clause( 182, [ ssList( sk1 ) ] )
% 0.76/1.41 , 0, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 subsumption(
% 0.76/1.41 clause( 504, [ frontsegP( sk1, sk1 ) ] )
% 0.76/1.41 , clause( 18873, [ frontsegP( sk1, sk1 ) ] )
% 0.76/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 resolution(
% 0.76/1.41 clause( 18874, [ frontsegP( sk1, sk2 ) ] )
% 0.76/1.41 , clause( 476, [ ~( ssList( X ) ), frontsegP( X, sk2 ) ] )
% 0.76/1.41 , 0, clause( 182, [ ssList( sk1 ) ] )
% 0.76/1.41 , 0, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 subsumption(
% 0.76/1.41 clause( 567, [ frontsegP( sk1, sk2 ) ] )
% 0.76/1.41 , clause( 18874, [ frontsegP( sk1, sk2 ) ] )
% 0.76/1.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 eqswap(
% 0.76/1.41 clause( 18875, [ =( sk1, sk2 ), frontsegP( sk2, sk1 ) ] )
% 0.76/1.41 , clause( 191, [ =( sk2, sk1 ), frontsegP( sk2, sk1 ) ] )
% 0.76/1.41 , 0, substitution( 0, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 resolution(
% 0.76/1.41 clause( 18876, [ ~( frontsegP( sk2, sk1 ) ), ~( ssList( sk1 ) ), ~( ssList(
% 0.76/1.41 sk2 ) ), =( sk2, sk1 ) ] )
% 0.76/1.41 , clause( 125, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList(
% 0.76/1.41 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.76/1.41 , 0, clause( 567, [ frontsegP( sk1, sk2 ) ] )
% 0.76/1.41 , 0, substitution( 0, [ :=( X, sk1 ), :=( Y, sk2 )] ), substitution( 1, [] )
% 0.76/1.41 ).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 resolution(
% 0.76/1.41 clause( 18878, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), =( sk2, sk1 ), =(
% 0.76/1.41 sk1, sk2 ) ] )
% 0.76/1.41 , clause( 18876, [ ~( frontsegP( sk2, sk1 ) ), ~( ssList( sk1 ) ), ~(
% 0.76/1.41 ssList( sk2 ) ), =( sk2, sk1 ) ] )
% 0.76/1.41 , 0, clause( 18875, [ =( sk1, sk2 ), frontsegP( sk2, sk1 ) ] )
% 0.76/1.41 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 eqswap(
% 0.76/1.41 clause( 18880, [ =( sk2, sk1 ), ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), =(
% 0.76/1.41 sk2, sk1 ) ] )
% 0.76/1.41 , clause( 18878, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), =( sk2, sk1 ),
% 0.76/1.41 =( sk1, sk2 ) ] )
% 0.76/1.41 , 3, substitution( 0, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 factor(
% 0.76/1.41 clause( 18883, [ =( sk2, sk1 ), ~( ssList( sk1 ) ), ~( ssList( sk2 ) ) ] )
% 0.76/1.41 , clause( 18880, [ =( sk2, sk1 ), ~( ssList( sk1 ) ), ~( ssList( sk2 ) ),
% 0.76/1.41 =( sk2, sk1 ) ] )
% 0.76/1.41 , 0, 3, substitution( 0, [] )).
% 0.76/1.41
% 0.76/1.41
% 0.76/1.41 subsumption(
% 0.76/1.41 clause( 4180, [ ~( ssList( sk1 ) ), ~( ssList( sk2 ) ), =( sk2, sk1 ) ] )
% 0.76/1.41 , clauCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------