TSTP Solution File: SWC328-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC328-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:35:55 EDT 2022
% Result : Unsatisfiable 0.82s 1.19s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC328-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sun Jun 12 17:32:36 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.77/1.18 *** allocated 10000 integers for termspace/termends
% 0.77/1.18 *** allocated 10000 integers for clauses
% 0.77/1.18 *** allocated 10000 integers for justifications
% 0.77/1.18 Bliksem 1.12
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 Automatic Strategy Selection
% 0.77/1.18
% 0.77/1.18 Clauses:
% 0.77/1.18 [
% 0.77/1.18 [ equalelemsP( nil ) ],
% 0.77/1.18 [ duplicatefreeP( nil ) ],
% 0.77/1.18 [ strictorderedP( nil ) ],
% 0.77/1.18 [ totalorderedP( nil ) ],
% 0.77/1.18 [ strictorderP( nil ) ],
% 0.77/1.18 [ totalorderP( nil ) ],
% 0.77/1.18 [ cyclefreeP( nil ) ],
% 0.77/1.18 [ ssList( nil ) ],
% 0.77/1.18 [ ssItem( skac3 ) ],
% 0.77/1.18 [ ssItem( skac2 ) ],
% 0.77/1.18 [ ~( singletonP( nil ) ) ],
% 0.77/1.18 [ ssItem( skaf83( X ) ) ],
% 0.77/1.18 [ ssList( skaf82( X ) ) ],
% 0.77/1.18 [ ssList( skaf81( X ) ) ],
% 0.77/1.18 [ ssList( skaf80( X ) ) ],
% 0.77/1.18 [ ssItem( skaf79( X ) ) ],
% 0.77/1.18 [ ssItem( skaf78( X ) ) ],
% 0.77/1.18 [ ssList( skaf77( X ) ) ],
% 0.77/1.18 [ ssList( skaf76( X ) ) ],
% 0.77/1.18 [ ssList( skaf75( X ) ) ],
% 0.77/1.18 [ ssItem( skaf74( X ) ) ],
% 0.77/1.18 [ ssList( skaf73( X ) ) ],
% 0.77/1.18 [ ssList( skaf72( X ) ) ],
% 0.77/1.18 [ ssList( skaf71( X ) ) ],
% 0.77/1.18 [ ssItem( skaf70( X ) ) ],
% 0.77/1.18 [ ssItem( skaf69( X ) ) ],
% 0.77/1.18 [ ssList( skaf68( X ) ) ],
% 0.77/1.18 [ ssList( skaf67( X ) ) ],
% 0.77/1.18 [ ssList( skaf66( X ) ) ],
% 0.77/1.18 [ ssItem( skaf65( X ) ) ],
% 0.77/1.18 [ ssItem( skaf64( X ) ) ],
% 0.77/1.18 [ ssList( skaf63( X ) ) ],
% 0.77/1.18 [ ssList( skaf62( X ) ) ],
% 0.77/1.18 [ ssList( skaf61( X ) ) ],
% 0.77/1.18 [ ssItem( skaf60( X ) ) ],
% 0.77/1.18 [ ssItem( skaf59( X ) ) ],
% 0.77/1.18 [ ssList( skaf58( X ) ) ],
% 0.77/1.18 [ ssList( skaf57( X ) ) ],
% 0.77/1.18 [ ssList( skaf56( X ) ) ],
% 0.77/1.18 [ ssItem( skaf55( X ) ) ],
% 0.77/1.18 [ ssItem( skaf54( X ) ) ],
% 0.77/1.18 [ ssList( skaf53( X ) ) ],
% 0.77/1.18 [ ssList( skaf52( X ) ) ],
% 0.77/1.18 [ ssList( skaf51( X ) ) ],
% 0.77/1.18 [ ssItem( skaf50( X ) ) ],
% 0.77/1.18 [ ssItem( skaf49( X ) ) ],
% 0.77/1.18 [ ssItem( skaf44( X ) ) ],
% 0.77/1.18 [ ssList( skaf48( X, Y ) ) ],
% 0.77/1.18 [ ssList( skaf47( X, Y ) ) ],
% 0.77/1.18 [ ssList( skaf46( X, Y ) ) ],
% 0.77/1.18 [ ssList( skaf45( X, Y ) ) ],
% 0.77/1.18 [ ssList( skaf43( X, Y ) ) ],
% 0.77/1.18 [ ssList( skaf42( X, Y ) ) ],
% 0.77/1.18 [ ~( =( skac3, skac2 ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.77/1.18 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.77/1.18 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.77/1.18 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.77/1.18 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.77/1.18 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.77/1.18 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.77/1.18 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.77/1.18 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.77/1.18 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.77/1.18 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.77/1.18 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.77/1.18 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.77/1.18 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.77/1.18 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.77/1.18 ],
% 0.77/1.18 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.77/1.18 X ) ],
% 0.77/1.18 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.77/1.18 X ) ],
% 0.77/1.18 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.77/1.18 ) ],
% 0.77/1.18 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.77/1.18 ) ],
% 0.77/1.18 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.77/1.18 ) ],
% 0.77/1.18 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.77/1.18 ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.77/1.18 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.77/1.18 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.77/1.18 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.77/1.18 ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.77/1.18 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.77/1.18 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.77/1.18 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.77/1.18 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.77/1.18 ) ],
% 0.77/1.18 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.77/1.18 cons( Y, X ) ) ],
% 0.77/1.18 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.77/1.18 cons( Y, X ) ) ],
% 0.77/1.18 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.77/1.18 singletonP( Y ) ],
% 0.77/1.18 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.77/1.18 , X ) ],
% 0.77/1.18 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.77/1.18 , Y ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.77/1.18 X, Y ) ) ],
% 0.77/1.18 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.77/1.18 , Y ) ],
% 0.77/1.18 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.77/1.18 , Y ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.77/1.18 , hd( Y ) ) ],
% 0.77/1.18 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.77/1.18 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.77/1.18 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.77/1.18 , totalorderedP( Y ), =( nil, Y ) ],
% 0.77/1.18 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.77/1.18 , =( Y, X ) ],
% 0.77/1.18 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.77/1.18 ssList( Y ) ), =( Y, X ) ],
% 0.77/1.18 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.77/1.18 ssList( Y ) ), =( Y, X ) ],
% 0.77/1.18 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.77/1.18 ssList( Y ) ), =( Y, X ) ],
% 0.77/1.18 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.77/1.18 , =( Y, X ) ],
% 0.77/1.18 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.77/1.18 skaf46( X, Y ), Y ), X ) ],
% 0.77/1.18 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.77/1.18 , skaf45( X, Y ) ), X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.77/1.18 , app( tl( Y ), X ) ) ],
% 0.77/1.18 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.77/1.18 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.77/1.18 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.77/1.18 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.77/1.18 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.77/1.18 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.77/1.18 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.77/1.18 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.77/1.18 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.77/1.18 memberP( cons( Y, Z ), X ) ],
% 0.77/1.18 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.77/1.18 ) ), memberP( cons( Z, X ), Y ) ],
% 0.77/1.18 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.77/1.18 ) ), memberP( app( X, Z ), Y ) ],
% 0.77/1.18 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.77/1.18 ) ), memberP( app( Z, X ), Y ) ],
% 0.77/1.18 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.77/1.18 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.77/1.18 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.77/1.18 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.77/1.18 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.77/1.18 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.77/1.18 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.77/1.18 , =( app( X, Y ), nil ) ],
% 0.77/1.18 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.77/1.18 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.77/1.18 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.77/1.18 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.77/1.18 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.77/1.18 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.77/1.18 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.77/1.18 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.77/1.18 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.77/1.18 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.77/1.18 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.77/1.18 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.77/1.18 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.77/1.18 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.77/1.18 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.77/1.18 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.77/1.18 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.77/1.18 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.77/1.18 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.77/1.18 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.77/1.18 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.77/1.18 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.77/1.18 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.77/1.18 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.77/1.18 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.77/1.18 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.77/1.18 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.77/1.18 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.77/1.18 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.77/1.18 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.77/1.18 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.77/1.18 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.77/1.18 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.77/1.18 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.77/1.18 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.77/1.18 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.77/1.18 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.77/1.18 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.77/1.18 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.77/1.18 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.77/1.18 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.77/1.18 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.77/1.18 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.77/1.18 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.77/1.18 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.77/1.18 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.77/1.18 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.82/1.18 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.82/1.18 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.82/1.18 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.82/1.18 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.82/1.18 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.82/1.18 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.82/1.18 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.82/1.18 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.82/1.18 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.82/1.18 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.82/1.18 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.82/1.18 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.82/1.18 T, Y ) ) ],
% 0.82/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.82/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.82/1.18 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.82/1.18 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.82/1.18 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.82/1.18 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.82/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.18 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.82/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.18 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.82/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.18 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.82/1.18 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.82/1.18 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.82/1.18 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.82/1.18 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.82/1.18 W ) ) ],
% 0.82/1.18 [ ssList( sk1 ) ],
% 0.82/1.18 [ ssList( sk2 ) ],
% 0.82/1.18 [ ssList( sk3 ) ],
% 0.82/1.18 [ ssList( sk4 ) ],
% 0.82/1.18 [ =( nil, sk3 ) ],
% 0.82/1.18 [ =( sk2, sk4 ) ],
% 0.82/1.18 [ =( sk1, sk3 ) ],
% 0.82/1.18 [ ~( segmentP( sk2, sk1 ) ), ~( equalelemsP( sk1 ) ) ]
% 0.82/1.18 ] .
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 percentage equality = 0.162791, percentage horn = 0.842105
% 0.82/1.18 This is a problem with some equality
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Options Used:
% 0.82/1.18
% 0.82/1.18 useres = 1
% 0.82/1.18 useparamod = 1
% 0.82/1.18 useeqrefl = 1
% 0.82/1.18 useeqfact = 1
% 0.82/1.18 usefactor = 1
% 0.82/1.18 usesimpsplitting = 0
% 0.82/1.18 usesimpdemod = 5
% 0.82/1.18 usesimpres = 3
% 0.82/1.18
% 0.82/1.18 resimpinuse = 1000
% 0.82/1.18 resimpclauses = 20000
% 0.82/1.18 substype = eqrewr
% 0.82/1.18 backwardsubs = 1
% 0.82/1.18 selectoldest = 5
% 0.82/1.18
% 0.82/1.18 litorderings [0] = split
% 0.82/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.18
% 0.82/1.18 termordering = kbo
% 0.82/1.18
% 0.82/1.18 litapriori = 0
% 0.82/1.18 termapriori = 1
% 0.82/1.18 litaposteriori = 0
% 0.82/1.18 termaposteriori = 0
% 0.82/1.18 demodaposteriori = 0
% 0.82/1.18 ordereqreflfact = 0
% 0.82/1.18
% 0.82/1.18 litselect = negord
% 0.82/1.18
% 0.82/1.18 maxweight = 15
% 0.82/1.18 maxdepth = 30000
% 0.82/1.18 maxlength = 115
% 0.82/1.18 maxnrvars = 195
% 0.82/1.18 excuselevel = 1
% 0.82/1.18 increasemaxweight = 1
% 0.82/1.18
% 0.82/1.18 maxselected = 10000000
% 0.82/1.18 maxnrclauses = 10000000
% 0.82/1.18
% 0.82/1.18 showgenerated = 0
% 0.82/1.18 showkept = 0
% 0.82/1.18 showselected = 0
% 0.82/1.18 showdeleted = 0
% 0.82/1.18 showresimp = 1
% 0.82/1.18 showstatus = 2000
% 0.82/1.18
% 0.82/1.18 prologoutput = 1
% 0.82/1.18 nrgoals = 5000000
% 0.82/1.18 totalproof = 1
% 0.82/1.18
% 0.82/1.18 Symbols occurring in the translation:
% 0.82/1.18
% 0.82/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.18 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.82/1.18 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.82/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.18 nil [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.82/1.18 equalelemsP [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.82/1.18 duplicatefreeP [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.82/1.18 strictorderedP [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.82/1.18 totalorderedP [43, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.82/1.18 strictorderP [44, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.82/1.18 totalorderP [45, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.82/1.18 cyclefreeP [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.82/1.18 ssList [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.82/1.18 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.82/1.18 ssItem [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.82/1.18 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.82/1.18 singletonP [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.82/1.18 skaf83 [53, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.82/1.18 skaf82 [54, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.82/1.18 skaf81 [55, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.82/1.18 skaf80 [56, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.82/1.18 skaf79 [57, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.82/1.18 skaf78 [58, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.82/1.18 skaf77 [59, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.82/1.19 skaf76 [60, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.82/1.19 skaf75 [61, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.82/1.19 skaf74 [62, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.82/1.19 skaf73 [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.82/1.19 skaf72 [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.82/1.19 skaf71 [65, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.82/1.19 skaf70 [66, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.82/1.19 skaf69 [67, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.82/1.19 skaf68 [68, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.82/1.19 skaf67 [69, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.82/1.19 skaf66 [70, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.82/1.19 skaf65 [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.82/1.19 skaf64 [72, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.82/1.19 skaf63 [73, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.82/1.19 skaf62 [74, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.82/1.19 skaf61 [75, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.82/1.19 skaf60 [76, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.82/1.19 skaf59 [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.82/1.19 skaf58 [78, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.82/1.19 skaf57 [79, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.82/1.19 skaf56 [80, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.82/1.19 skaf55 [81, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.82/1.19 skaf54 [82, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.82/1.19 skaf53 [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.82/1.19 skaf52 [84, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.82/1.19 skaf51 [85, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.82/1.19 skaf50 [86, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.82/1.19 skaf49 [87, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.82/1.19 skaf44 [88, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.82/1.19 skaf48 [90, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.82/1.19 skaf47 [91, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.82/1.19 skaf46 [92, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.82/1.19 skaf45 [93, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.82/1.19 skaf43 [94, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.82/1.19 skaf42 [95, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.82/1.19 geq [96, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.82/1.19 segmentP [97, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.82/1.19 rearsegP [98, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.82/1.19 frontsegP [99, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.82/1.19 leq [100, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.82/1.19 lt [101, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.82/1.19 cons [102, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.82/1.19 memberP [103, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.82/1.19 app [104, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.82/1.19 tl [105, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.82/1.19 hd [106, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.82/1.19 neq [107, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.82/1.19 gt [108, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.82/1.19 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.82/1.19 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.82/1.19 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.82/1.19 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Starting Search:
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Bliksems!, er is een bewijs:
% 0.82/1.19 % SZS status Unsatisfiable
% 0.82/1.19 % SZS output start Refutation
% 0.82/1.19
% 0.82/1.19 clause( 0, [ equalelemsP( nil ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 55, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 183, [ ssList( sk2 ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 186, [ =( nil, sk3 ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 188, [ =( sk3, sk1 ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 189, [ ~( segmentP( sk2, sk1 ) ), ~( equalelemsP( sk1 ) ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 318, [ equalelemsP( sk1 ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 325, [ =( nil, sk1 ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 389, [ ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 417, [ segmentP( sk2, sk1 ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 684, [] )
% 0.82/1.19 .
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 % SZS output end Refutation
% 0.82/1.19 found a proof!
% 0.82/1.19
% 0.82/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.19
% 0.82/1.19 initialclauses(
% 0.82/1.19 [ clause( 686, [ equalelemsP( nil ) ] )
% 0.82/1.19 , clause( 687, [ duplicatefreeP( nil ) ] )
% 0.82/1.19 , clause( 688, [ strictorderedP( nil ) ] )
% 0.82/1.19 , clause( 689, [ totalorderedP( nil ) ] )
% 0.82/1.19 , clause( 690, [ strictorderP( nil ) ] )
% 0.82/1.19 , clause( 691, [ totalorderP( nil ) ] )
% 0.82/1.19 , clause( 692, [ cyclefreeP( nil ) ] )
% 0.82/1.19 , clause( 693, [ ssList( nil ) ] )
% 0.82/1.19 , clause( 694, [ ssItem( skac3 ) ] )
% 0.82/1.19 , clause( 695, [ ssItem( skac2 ) ] )
% 0.82/1.19 , clause( 696, [ ~( singletonP( nil ) ) ] )
% 0.82/1.19 , clause( 697, [ ssItem( skaf83( X ) ) ] )
% 0.82/1.19 , clause( 698, [ ssList( skaf82( X ) ) ] )
% 0.82/1.19 , clause( 699, [ ssList( skaf81( X ) ) ] )
% 0.82/1.19 , clause( 700, [ ssList( skaf80( X ) ) ] )
% 0.82/1.19 , clause( 701, [ ssItem( skaf79( X ) ) ] )
% 0.82/1.19 , clause( 702, [ ssItem( skaf78( X ) ) ] )
% 0.82/1.19 , clause( 703, [ ssList( skaf77( X ) ) ] )
% 0.82/1.19 , clause( 704, [ ssList( skaf76( X ) ) ] )
% 0.82/1.19 , clause( 705, [ ssList( skaf75( X ) ) ] )
% 0.82/1.19 , clause( 706, [ ssItem( skaf74( X ) ) ] )
% 0.82/1.19 , clause( 707, [ ssList( skaf73( X ) ) ] )
% 0.82/1.19 , clause( 708, [ ssList( skaf72( X ) ) ] )
% 0.82/1.19 , clause( 709, [ ssList( skaf71( X ) ) ] )
% 0.82/1.19 , clause( 710, [ ssItem( skaf70( X ) ) ] )
% 0.82/1.19 , clause( 711, [ ssItem( skaf69( X ) ) ] )
% 0.82/1.19 , clause( 712, [ ssList( skaf68( X ) ) ] )
% 0.82/1.19 , clause( 713, [ ssList( skaf67( X ) ) ] )
% 0.82/1.19 , clause( 714, [ ssList( skaf66( X ) ) ] )
% 0.82/1.19 , clause( 715, [ ssItem( skaf65( X ) ) ] )
% 0.82/1.19 , clause( 716, [ ssItem( skaf64( X ) ) ] )
% 0.82/1.19 , clause( 717, [ ssList( skaf63( X ) ) ] )
% 0.82/1.19 , clause( 718, [ ssList( skaf62( X ) ) ] )
% 0.82/1.19 , clause( 719, [ ssList( skaf61( X ) ) ] )
% 0.82/1.19 , clause( 720, [ ssItem( skaf60( X ) ) ] )
% 0.82/1.19 , clause( 721, [ ssItem( skaf59( X ) ) ] )
% 0.82/1.19 , clause( 722, [ ssList( skaf58( X ) ) ] )
% 0.82/1.19 , clause( 723, [ ssList( skaf57( X ) ) ] )
% 0.82/1.19 , clause( 724, [ ssList( skaf56( X ) ) ] )
% 0.82/1.19 , clause( 725, [ ssItem( skaf55( X ) ) ] )
% 0.82/1.19 , clause( 726, [ ssItem( skaf54( X ) ) ] )
% 0.82/1.19 , clause( 727, [ ssList( skaf53( X ) ) ] )
% 0.82/1.19 , clause( 728, [ ssList( skaf52( X ) ) ] )
% 0.82/1.19 , clause( 729, [ ssList( skaf51( X ) ) ] )
% 0.82/1.19 , clause( 730, [ ssItem( skaf50( X ) ) ] )
% 0.82/1.19 , clause( 731, [ ssItem( skaf49( X ) ) ] )
% 0.82/1.19 , clause( 732, [ ssItem( skaf44( X ) ) ] )
% 0.82/1.19 , clause( 733, [ ssList( skaf48( X, Y ) ) ] )
% 0.82/1.19 , clause( 734, [ ssList( skaf47( X, Y ) ) ] )
% 0.82/1.19 , clause( 735, [ ssList( skaf46( X, Y ) ) ] )
% 0.82/1.19 , clause( 736, [ ssList( skaf45( X, Y ) ) ] )
% 0.82/1.19 , clause( 737, [ ssList( skaf43( X, Y ) ) ] )
% 0.82/1.19 , clause( 738, [ ssList( skaf42( X, Y ) ) ] )
% 0.82/1.19 , clause( 739, [ ~( =( skac3, skac2 ) ) ] )
% 0.82/1.19 , clause( 740, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 0.82/1.19 , clause( 741, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 0.82/1.19 , clause( 742, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 0.82/1.19 , clause( 743, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 0.82/1.19 , clause( 744, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 0.82/1.19 , clause( 745, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 0.82/1.19 , clause( 746, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 0.82/1.19 , clause( 747, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 0.82/1.19 , clause( 748, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 0.82/1.19 , clause( 749, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 0.82/1.19 , clause( 750, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 0.82/1.19 , clause( 751, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 0.82/1.19 , clause( 752, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 0.82/1.19 , clause( 753, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 0.82/1.19 , clause( 754, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 0.82/1.19 , clause( 755, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 0.82/1.19 , clause( 756, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 0.82/1.19 , clause( 757, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 0.82/1.19 , clause( 758, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 0.82/1.19 , clause( 759, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 0.82/1.19 , clause( 760, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 0.82/1.19 , clause( 761, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 0.82/1.19 , clause( 762, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 0.82/1.19 , clause( 763, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 0.82/1.19 , clause( 764, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 765, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 766, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 767, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 768, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 769, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 770, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 771, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 772, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 0.82/1.19 skaf49( X ) ) ] )
% 0.82/1.19 , clause( 773, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 0.82/1.19 skaf50( X ) ) ] )
% 0.82/1.19 , clause( 774, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 0.82/1.19 equalelemsP( X ) ] )
% 0.82/1.19 , clause( 775, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 0.82/1.19 strictorderedP( X ) ] )
% 0.82/1.19 , clause( 776, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 0.82/1.19 totalorderedP( X ) ] )
% 0.82/1.19 , clause( 777, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 0.82/1.19 strictorderP( X ) ] )
% 0.82/1.19 , clause( 778, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 0.82/1.19 strictorderP( X ) ] )
% 0.82/1.19 , clause( 779, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 0.82/1.19 totalorderP( X ) ] )
% 0.82/1.19 , clause( 780, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 0.82/1.19 totalorderP( X ) ] )
% 0.82/1.19 , clause( 781, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) )
% 0.82/1.19 , Y ) ] )
% 0.82/1.19 , clause( 782, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) )
% 0.82/1.19 , X ) ] )
% 0.82/1.19 , clause( 783, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 0.82/1.19 Y ) ) ] )
% 0.82/1.19 , clause( 784, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y
% 0.82/1.19 ) ) ] )
% 0.82/1.19 , clause( 785, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 786, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X
% 0.82/1.19 ), nil ), X ) ] )
% 0.82/1.19 , clause( 787, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 788, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 0.82/1.19 X, Y ) ] )
% 0.82/1.19 , clause( 789, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil
% 0.82/1.19 , X ) ] )
% 0.82/1.19 , clause( 790, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y
% 0.82/1.19 , X ) ] )
% 0.82/1.19 , clause( 791, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y
% 0.82/1.19 , X ) ] )
% 0.82/1.19 , clause( 792, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 0.82/1.19 Y, X ) ] )
% 0.82/1.19 , clause( 793, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq(
% 0.82/1.19 Y, X ) ] )
% 0.82/1.19 , clause( 794, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X )
% 0.82/1.19 , =( nil, X ) ] )
% 0.82/1.19 , clause( 795, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.82/1.19 ssItem( Y ) ) ] )
% 0.82/1.19 , clause( 796, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 0.82/1.19 ssItem( X ) ) ] )
% 0.82/1.19 , clause( 797, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 0.82/1.19 strictorderedP( cons( Y, X ) ) ] )
% 0.82/1.19 , clause( 798, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 0.82/1.19 totalorderedP( cons( Y, X ) ) ] )
% 0.82/1.19 , clause( 799, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.82/1.19 ssItem( Y ) ) ] )
% 0.82/1.19 , clause( 800, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssList( X ) ) ] )
% 0.82/1.19 , clause( 801, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 0.82/1.19 Y ) ), singletonP( Y ) ] )
% 0.82/1.19 , clause( 802, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 0.82/1.19 ssItem( X ) ) ] )
% 0.82/1.19 , clause( 803, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.82/1.19 ) ), =( nil, X ) ] )
% 0.82/1.19 , clause( 804, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.82/1.19 ) ), =( nil, Y ) ] )
% 0.82/1.19 , clause( 805, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil )
% 0.82/1.19 , Y ), cons( X, Y ) ) ] )
% 0.82/1.19 , clause( 806, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 0.82/1.19 X, Y ), =( X, Y ) ] )
% 0.82/1.19 , clause( 807, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 0.82/1.19 X, Y ), =( X, Y ) ] )
% 0.82/1.19 , clause( 808, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 0.82/1.19 app( Y, X ) ), hd( Y ) ) ] )
% 0.82/1.19 , clause( 809, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 0.82/1.19 , clause( 810, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 0.82/1.19 , clause( 811, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.82/1.19 ssItem( Y ) ), =( Y, X ) ] )
% 0.82/1.19 , clause( 812, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X
% 0.82/1.19 ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.82/1.19 , clause( 813, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X
% 0.82/1.19 ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.82/1.19 , clause( 814, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList(
% 0.82/1.19 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 0.82/1.19 , clause( 815, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~(
% 0.82/1.19 ssItem( Y ) ), =( Y, X ) ] )
% 0.82/1.19 , clause( 816, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.82/1.19 , =( app( skaf46( X, Y ), Y ), X ) ] )
% 0.82/1.19 , clause( 817, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.82/1.19 , =( app( Y, skaf45( X, Y ) ), X ) ] )
% 0.82/1.19 , clause( 818, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 0.82/1.19 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 0.82/1.19 , clause( 819, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 0.82/1.19 , clause( 820, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 0.82/1.19 , clause( 821, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) )
% 0.82/1.19 , ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 0.82/1.19 , clause( 822, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) )
% 0.82/1.19 , ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 0.82/1.19 , clause( 823, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 0.82/1.19 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 0.82/1.19 , clause( 824, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ),
% 0.82/1.19 ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 0.82/1.19 , clause( 825, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ),
% 0.82/1.19 ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 0.82/1.19 , clause( 826, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ),
% 0.82/1.19 ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 0.82/1.19 , clause( 827, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ),
% 0.82/1.19 cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 0.82/1.19 , clause( 828, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y )
% 0.82/1.19 ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 0.82/1.19 , clause( 829, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X )
% 0.82/1.19 ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 0.82/1.19 , clause( 830, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssList( X ) ), =( app( X, Y ), nil ) ] )
% 0.82/1.19 , clause( 831, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.82/1.19 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 0.82/1.19 , clause( 832, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.82/1.19 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 0.82/1.19 , clause( 833, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.82/1.19 ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 0.82/1.19 , clause( 834, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =(
% 0.82/1.19 app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 0.82/1.19 , clause( 835, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 0.82/1.19 , clause( 836, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~(
% 0.82/1.19 ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 0.82/1.19 , clause( 837, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z
% 0.82/1.19 ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 0.82/1.19 , clause( 838, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z
% 0.82/1.19 ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 0.82/1.19 , clause( 839, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList(
% 0.82/1.19 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 0.82/1.19 , clause( 840, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.82/1.19 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 0.82/1.19 , clause( 841, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 0.82/1.19 ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 0.82/1.19 , clause( 842, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =(
% 0.82/1.19 cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 0.82/1.19 , clause( 843, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 0.82/1.19 , clause( 844, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList(
% 0.82/1.19 Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ] )
% 0.82/1.19 , clause( 845, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList(
% 0.82/1.19 Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ] )
% 0.82/1.19 , clause( 846, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 0.82/1.19 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 0.82/1.19 , clause( 847, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75(
% 0.82/1.19 X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) )
% 0.82/1.19 ), X ) ] )
% 0.82/1.19 , clause( 848, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71(
% 0.82/1.19 X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) )
% 0.82/1.19 ), X ) ] )
% 0.82/1.19 , clause( 849, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66(
% 0.82/1.19 X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) )
% 0.82/1.19 ), X ) ] )
% 0.82/1.19 , clause( 850, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 0.82/1.19 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 0.82/1.19 ), X ) ] )
% 0.82/1.19 , clause( 851, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X
% 0.82/1.19 ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 0.82/1.19 ), X ) ] )
% 0.82/1.19 , clause( 852, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X
% 0.82/1.19 ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 0.82/1.19 ), X ) ] )
% 0.82/1.19 , clause( 853, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.82/1.19 , =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 0.82/1.19 , clause( 854, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ),
% 0.82/1.19 =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 0.82/1.19 , clause( 855, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 0.82/1.19 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 0.82/1.19 , clause( 856, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 0.82/1.19 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 0.82/1.19 , clause( 857, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) )
% 0.82/1.19 , ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 858, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~(
% 0.82/1.19 ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ] )
% 0.82/1.19 , clause( 859, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T
% 0.82/1.19 ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 0.82/1.19 , T ) ] )
% 0.82/1.19 , clause( 860, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~(
% 0.82/1.19 ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ] )
% 0.82/1.19 , clause( 861, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T
% 0.82/1.19 ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 862, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 0.82/1.19 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 863, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ),
% 0.82/1.19 ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z
% 0.82/1.19 , X ), cons( T, Y ) ) ] )
% 0.82/1.19 , clause( 864, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ),
% 0.82/1.19 ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 0.82/1.19 ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 0.82/1.19 , clause( 865, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList(
% 0.82/1.19 T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 0.82/1.19 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 0.82/1.19 , clause( 866, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ),
% 0.82/1.19 ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ),
% 0.82/1.19 ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 867, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ),
% 0.82/1.19 ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ),
% 0.82/1.23 ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 0.82/1.23 ] )
% 0.82/1.23 , clause( 868, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ),
% 0.82/1.23 ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ),
% 0.82/1.23 ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ),
% 0.82/1.23 lt( T, Y ) ] )
% 0.82/1.23 , clause( 869, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ),
% 0.82/1.23 ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ),
% 0.82/1.23 ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ),
% 0.82/1.23 leq( T, Y ) ] )
% 0.82/1.23 , clause( 870, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 0.82/1.23 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 0.82/1.23 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 0.82/1.23 ) ), ~( ssList( W ) ) ] )
% 0.82/1.23 , clause( 871, [ ssList( sk1 ) ] )
% 0.82/1.23 , clause( 872, [ ssList( sk2 ) ] )
% 0.82/1.23 , clause( 873, [ ssList( sk3 ) ] )
% 0.82/1.23 , clause( 874, [ ssList( sk4 ) ] )
% 0.82/1.23 , clause( 875, [ =( nil, sk3 ) ] )
% 0.82/1.23 , clause( 876, [ =( sk2, sk4 ) ] )
% 0.82/1.23 , clause( 877, [ =( sk1, sk3 ) ] )
% 0.82/1.23 , clause( 878, [ ~( segmentP( sk2, sk1 ) ), ~( equalelemsP( sk1 ) ) ] )
% 0.82/1.23 ] ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 0, [ equalelemsP( nil ) ] )
% 0.82/1.23 , clause( 686, [ equalelemsP( nil ) ] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 55, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 0.82/1.23 , clause( 741, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 0.82/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.82/1.23 1 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 183, [ ssList( sk2 ) ] )
% 0.82/1.23 , clause( 872, [ ssList( sk2 ) ] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 186, [ =( nil, sk3 ) ] )
% 0.82/1.23 , clause( 875, [ =( nil, sk3 ) ] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 eqswap(
% 0.82/1.23 clause( 3154, [ =( sk3, sk1 ) ] )
% 0.82/1.23 , clause( 877, [ =( sk1, sk3 ) ] )
% 0.82/1.23 , 0, substitution( 0, [] )).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 188, [ =( sk3, sk1 ) ] )
% 0.82/1.23 , clause( 3154, [ =( sk3, sk1 ) ] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 189, [ ~( segmentP( sk2, sk1 ) ), ~( equalelemsP( sk1 ) ) ] )
% 0.82/1.23 , clause( 878, [ ~( segmentP( sk2, sk1 ) ), ~( equalelemsP( sk1 ) ) ] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.82/1.23 ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 paramod(
% 0.82/1.23 clause( 3917, [ equalelemsP( sk3 ) ] )
% 0.82/1.23 , clause( 186, [ =( nil, sk3 ) ] )
% 0.82/1.23 , 0, clause( 0, [ equalelemsP( nil ) ] )
% 0.82/1.23 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 paramod(
% 0.82/1.23 clause( 3918, [ equalelemsP( sk1 ) ] )
% 0.82/1.23 , clause( 188, [ =( sk3, sk1 ) ] )
% 0.82/1.23 , 0, clause( 3917, [ equalelemsP( sk3 ) ] )
% 0.82/1.23 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 318, [ equalelemsP( sk1 ) ] )
% 0.82/1.23 , clause( 3918, [ equalelemsP( sk1 ) ] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 paramod(
% 0.82/1.23 clause( 3921, [ =( nil, sk1 ) ] )
% 0.82/1.23 , clause( 188, [ =( sk3, sk1 ) ] )
% 0.82/1.23 , 0, clause( 186, [ =( nil, sk3 ) ] )
% 0.82/1.23 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 325, [ =( nil, sk1 ) ] )
% 0.82/1.23 , clause( 3921, [ =( nil, sk1 ) ] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 paramod(
% 0.82/1.23 clause( 3924, [ segmentP( X, sk1 ), ~( ssList( X ) ) ] )
% 0.82/1.23 , clause( 325, [ =( nil, sk1 ) ] )
% 0.82/1.23 , 0, clause( 55, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 0.82/1.23 , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 389, [ ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 0.82/1.23 , clause( 3924, [ segmentP( X, sk1 ), ~( ssList( X ) ) ] )
% 0.82/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.82/1.23 0 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 resolution(
% 0.82/1.23 clause( 3925, [ segmentP( sk2, sk1 ) ] )
% 0.82/1.23 , clause( 389, [ ~( ssList( X ) ), segmentP( X, sk1 ) ] )
% 0.82/1.23 , 0, clause( 183, [ ssList( sk2 ) ] )
% 0.82/1.23 , 0, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 417, [ segmentP( sk2, sk1 ) ] )
% 0.82/1.23 , clause( 3925, [ segmentP( sk2, sk1 ) ] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 resolution(
% 0.82/1.23 clause( 3926, [ ~( equalelemsP( sk1 ) ) ] )
% 0.82/1.23 , clause( 189, [ ~( segmentP( sk2, sk1 ) ), ~( equalelemsP( sk1 ) ) ] )
% 0.82/1.23 , 0, clause( 417, [ segmentP( sk2, sk1 ) ] )
% 0.82/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 resolution(
% 0.82/1.23 clause( 3927, [] )
% 0.82/1.23 , clause( 3926, [ ~( equalelemsP( sk1 ) ) ] )
% 0.82/1.23 , 0, clause( 318, [ equalelemsP( sk1 ) ] )
% 0.82/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 subsumption(
% 0.82/1.23 clause( 684, [] )
% 0.82/1.23 , clause( 3927, [] )
% 0.82/1.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 end.
% 0.82/1.23
% 0.82/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.23
% 0.82/1.23 Memory use:
% 0.82/1.23
% 0.82/1.23 space for terms: 13105
% 0.82/1.23 space for clauses: 38815
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 clauses generated: 1135
% 0.82/1.23 clauses kept: 685
% 0.82/1.23 clauses selected: 180
% 0.82/1.23 clauses deleted: 34
% 0.82/1.23 clauses inuse deleted: 0
% 0.82/1.23
% 0.82/1.23 subsentry: 40062
% 0.82/1.23 literals s-matched: 25525
% 0.82/1.23 literals matched: 9764
% 0.82/1.23 full subsumption: 7816
% 0.82/1.23
% 0.82/1.23 checksum: 678298187
% 0.82/1.23
% 0.82/1.23
% 0.82/1.24 Bliksem ended
%------------------------------------------------------------------------------