TSTP Solution File: SWC032-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC032-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 19:33:09 EDT 2022
% Result : Unsatisfiable 1.61s 1.98s
% Output : Refutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 12 23:39:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13 [
% 0.73/1.13 [ equalelemsP( nil ) ],
% 0.73/1.13 [ duplicatefreeP( nil ) ],
% 0.73/1.13 [ strictorderedP( nil ) ],
% 0.73/1.13 [ totalorderedP( nil ) ],
% 0.73/1.13 [ strictorderP( nil ) ],
% 0.73/1.13 [ totalorderP( nil ) ],
% 0.73/1.13 [ cyclefreeP( nil ) ],
% 0.73/1.13 [ ssList( nil ) ],
% 0.73/1.13 [ ssItem( skac3 ) ],
% 0.73/1.13 [ ssItem( skac2 ) ],
% 0.73/1.13 [ ~( singletonP( nil ) ) ],
% 0.73/1.13 [ ssItem( skaf83( X ) ) ],
% 0.73/1.13 [ ssList( skaf82( X ) ) ],
% 0.73/1.13 [ ssList( skaf81( X ) ) ],
% 0.73/1.13 [ ssList( skaf80( X ) ) ],
% 0.73/1.13 [ ssItem( skaf79( X ) ) ],
% 0.73/1.13 [ ssItem( skaf78( X ) ) ],
% 0.73/1.13 [ ssList( skaf77( X ) ) ],
% 0.73/1.13 [ ssList( skaf76( X ) ) ],
% 0.73/1.13 [ ssList( skaf75( X ) ) ],
% 0.73/1.13 [ ssItem( skaf74( X ) ) ],
% 0.73/1.13 [ ssList( skaf73( X ) ) ],
% 0.73/1.13 [ ssList( skaf72( X ) ) ],
% 0.73/1.13 [ ssList( skaf71( X ) ) ],
% 0.73/1.13 [ ssItem( skaf70( X ) ) ],
% 0.73/1.13 [ ssItem( skaf69( X ) ) ],
% 0.73/1.13 [ ssList( skaf68( X ) ) ],
% 0.73/1.13 [ ssList( skaf67( X ) ) ],
% 0.73/1.13 [ ssList( skaf66( X ) ) ],
% 0.73/1.13 [ ssItem( skaf65( X ) ) ],
% 0.73/1.13 [ ssItem( skaf64( X ) ) ],
% 0.73/1.13 [ ssList( skaf63( X ) ) ],
% 0.73/1.13 [ ssList( skaf62( X ) ) ],
% 0.73/1.13 [ ssList( skaf61( X ) ) ],
% 0.73/1.13 [ ssItem( skaf60( X ) ) ],
% 0.73/1.13 [ ssItem( skaf59( X ) ) ],
% 0.73/1.13 [ ssList( skaf58( X ) ) ],
% 0.73/1.13 [ ssList( skaf57( X ) ) ],
% 0.73/1.13 [ ssList( skaf56( X ) ) ],
% 0.73/1.13 [ ssItem( skaf55( X ) ) ],
% 0.73/1.13 [ ssItem( skaf54( X ) ) ],
% 0.73/1.13 [ ssList( skaf53( X ) ) ],
% 0.73/1.13 [ ssList( skaf52( X ) ) ],
% 0.73/1.13 [ ssList( skaf51( X ) ) ],
% 0.73/1.13 [ ssItem( skaf50( X ) ) ],
% 0.73/1.13 [ ssItem( skaf49( X ) ) ],
% 0.73/1.13 [ ssItem( skaf44( X ) ) ],
% 0.73/1.13 [ ssList( skaf48( X, Y ) ) ],
% 0.73/1.13 [ ssList( skaf47( X, Y ) ) ],
% 0.73/1.13 [ ssList( skaf46( X, Y ) ) ],
% 0.73/1.13 [ ssList( skaf45( X, Y ) ) ],
% 0.73/1.13 [ ssList( skaf43( X, Y ) ) ],
% 0.73/1.13 [ ssList( skaf42( X, Y ) ) ],
% 0.73/1.13 [ ~( =( skac3, skac2 ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.73/1.13 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.73/1.13 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.73/1.13 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.73/1.13 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.73/1.13 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.73/1.13 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.73/1.13 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.73/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.73/1.13 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.73/1.13 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.73/1.13 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.73/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.73/1.13 ],
% 0.73/1.13 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.73/1.13 X ) ],
% 0.73/1.13 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.73/1.13 X ) ],
% 0.73/1.13 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.73/1.13 ) ],
% 0.73/1.13 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.73/1.13 ) ],
% 0.73/1.13 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.73/1.13 ) ],
% 0.73/1.13 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.73/1.13 ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.73/1.13 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.73/1.13 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.73/1.13 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.73/1.13 ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.73/1.13 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.73/1.13 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.73/1.13 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.73/1.13 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.73/1.13 ) ],
% 0.73/1.13 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.73/1.13 cons( Y, X ) ) ],
% 0.73/1.13 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.73/1.13 cons( Y, X ) ) ],
% 0.73/1.13 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.73/1.13 singletonP( Y ) ],
% 0.73/1.13 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.73/1.13 , X ) ],
% 0.73/1.13 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.73/1.13 , Y ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.73/1.13 X, Y ) ) ],
% 0.73/1.13 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.73/1.13 , Y ) ],
% 0.73/1.13 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.73/1.13 , Y ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.73/1.13 , hd( Y ) ) ],
% 0.73/1.13 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.73/1.13 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.73/1.13 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.73/1.13 , totalorderedP( Y ), =( nil, Y ) ],
% 0.73/1.13 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.73/1.13 , =( Y, X ) ],
% 0.73/1.13 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.13 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.13 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.13 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.13 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.73/1.13 , =( Y, X ) ],
% 0.73/1.13 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.73/1.13 skaf46( X, Y ), Y ), X ) ],
% 0.73/1.13 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.73/1.13 , skaf45( X, Y ) ), X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.73/1.13 , app( tl( Y ), X ) ) ],
% 0.73/1.13 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.73/1.13 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.73/1.13 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.73/1.13 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.73/1.13 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.73/1.13 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.73/1.13 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.73/1.13 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.73/1.13 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.73/1.13 memberP( cons( Y, Z ), X ) ],
% 0.73/1.13 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.73/1.13 ) ), memberP( cons( Z, X ), Y ) ],
% 0.73/1.13 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.73/1.13 ) ), memberP( app( X, Z ), Y ) ],
% 0.73/1.13 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.73/1.13 ) ), memberP( app( Z, X ), Y ) ],
% 0.73/1.13 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.73/1.13 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.73/1.13 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.73/1.13 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.73/1.13 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.73/1.13 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.73/1.13 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.73/1.13 , =( app( X, Y ), nil ) ],
% 0.73/1.13 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.73/1.13 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.73/1.13 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.13 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.73/1.13 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.13 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.73/1.13 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.73/1.13 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.73/1.13 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.73/1.13 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.73/1.13 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.73/1.13 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.73/1.13 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.13 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.73/1.13 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.13 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.73/1.13 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.13 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.73/1.13 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.73/1.13 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.73/1.13 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.13 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.73/1.13 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.73/1.13 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.73/1.13 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.73/1.13 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.73/1.13 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.73/1.13 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.73/1.13 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.73/1.13 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.73/1.13 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.73/1.13 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.73/1.13 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.73/1.13 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.73/1.13 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.73/1.13 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.73/1.13 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.73/1.13 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.73/1.13 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.73/1.13 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.73/1.13 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.73/1.13 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.73/1.13 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.73/1.13 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.73/1.13 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.73/1.13 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.73/1.13 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.73/1.14 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.73/1.14 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.73/1.14 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.73/1.14 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.73/1.14 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.73/1.14 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.73/1.14 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.73/1.14 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.73/1.14 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.73/1.14 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.73/1.14 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.73/1.14 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.73/1.14 T, Y ) ) ],
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.73/1.14 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.73/1.14 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.73/1.14 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.73/1.14 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.14 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.14 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.14 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.14 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.14 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.73/1.14 ,
% 0.73/1.14 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.73/1.14 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.73/1.14 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.73/1.14 W ) ) ],
% 0.73/1.14 [ ssList( sk1 ) ],
% 0.73/1.14 [ ssList( sk2 ) ],
% 0.73/1.14 [ ssList( sk3 ) ],
% 0.73/1.14 [ ssList( sk4 ) ],
% 0.73/1.14 [ =( sk2, sk4 ) ],
% 0.73/1.14 [ =( sk1, sk3 ) ],
% 0.73/1.14 [ ssList( sk5 ) ],
% 0.73/1.14 [ =( app( sk3, sk5 ), sk4 ) ],
% 0.73/1.14 [ strictorderedP( sk3 ) ],
% 0.73/1.14 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, nil ), Y ),
% 0.73/1.14 sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T, cons( Z, nil )
% 0.73/1.14 ), sk3 ) ), ~( lt( Z, X ) ) ],
% 0.73/1.14 [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ],
% 0.73/1.14 [ =( nil, sk2 ), =( nil, sk1 ) ],
% 0.73/1.14 [ =( nil, sk2 ), ~( =( nil, sk2 ) ) ],
% 0.73/1.14 [ ~( =( nil, sk1 ) ), =( nil, sk1 ) ],
% 0.73/1.14 [ ~( =( nil, sk1 ) ), ~( =( nil, sk2 ) ) ]
% 0.73/1.14 ] .
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 percentage equality = 0.172358, percentage horn = 0.841026
% 0.73/1.14 This is a problem with some equality
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Options Used:
% 0.73/1.14
% 0.73/1.14 useres = 1
% 0.73/1.14 useparamod = 1
% 0.73/1.14 useeqrefl = 1
% 0.73/1.14 useeqfact = 1
% 0.73/1.14 usefactor = 1
% 0.73/1.14 usesimpsplitting = 0
% 0.73/1.14 usesimpdemod = 5
% 0.73/1.14 usesimpres = 3
% 0.73/1.14
% 0.73/1.14 resimpinuse = 1000
% 0.73/1.14 resimpclauses = 20000
% 0.73/1.14 substype = eqrewr
% 0.73/1.14 backwardsubs = 1
% 0.73/1.14 selectoldest = 5
% 0.73/1.14
% 0.73/1.14 litorderings [0] = split
% 0.73/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.14
% 0.73/1.14 termordering = kbo
% 0.73/1.14
% 0.73/1.14 litapriori = 0
% 0.73/1.14 termapriori = 1
% 0.73/1.14 litaposteriori = 0
% 0.73/1.14 termaposteriori = 0
% 0.73/1.14 demodaposteriori = 0
% 0.73/1.14 ordereqreflfact = 0
% 0.73/1.14
% 0.73/1.14 litselect = negord
% 0.73/1.14
% 0.73/1.14 maxweight = 15
% 0.73/1.14 maxdepth = 30000
% 0.73/1.14 maxlength = 115
% 0.73/1.14 maxnrvars = 195
% 0.73/1.14 excuselevel = 1
% 0.73/1.14 increasemaxweight = 1
% 0.73/1.14
% 0.73/1.14 maxselected = 10000000
% 0.73/1.14 maxnrclauses = 10000000
% 0.73/1.14
% 0.73/1.14 showgenerated = 0
% 0.73/1.14 showkept = 0
% 0.73/1.14 showselected = 0
% 0.73/1.14 showdeleted = 0
% 1.61/1.98 showresimp = 1
% 1.61/1.98 showstatus = 2000
% 1.61/1.98
% 1.61/1.98 prologoutput = 1
% 1.61/1.98 nrgoals = 5000000
% 1.61/1.98 totalproof = 1
% 1.61/1.98
% 1.61/1.98 Symbols occurring in the translation:
% 1.61/1.98
% 1.61/1.98 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.61/1.98 . [1, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.61/1.98 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 1.61/1.98 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.61/1.98 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.61/1.98 nil [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.61/1.98 equalelemsP [40, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.61/1.98 duplicatefreeP [41, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.61/1.98 strictorderedP [42, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.61/1.98 totalorderedP [43, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.61/1.98 strictorderP [44, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.61/1.98 totalorderP [45, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.61/1.98 cyclefreeP [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.61/1.98 ssList [47, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.61/1.98 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.61/1.98 ssItem [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.61/1.98 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.61/1.98 singletonP [51, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.61/1.98 skaf83 [53, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.61/1.98 skaf82 [54, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.61/1.98 skaf81 [55, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.61/1.98 skaf80 [56, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.61/1.98 skaf79 [57, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.61/1.98 skaf78 [58, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.61/1.98 skaf77 [59, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.61/1.98 skaf76 [60, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.61/1.98 skaf75 [61, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.61/1.98 skaf74 [62, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.61/1.98 skaf73 [63, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.61/1.98 skaf72 [64, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.61/1.98 skaf71 [65, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.61/1.98 skaf70 [66, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.61/1.98 skaf69 [67, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.61/1.98 skaf68 [68, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.61/1.98 skaf67 [69, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.61/1.98 skaf66 [70, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.61/1.98 skaf65 [71, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.61/1.98 skaf64 [72, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.61/1.98 skaf63 [73, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.61/1.98 skaf62 [74, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.61/1.98 skaf61 [75, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.61/1.98 skaf60 [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.61/1.98 skaf59 [77, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.61/1.98 skaf58 [78, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.61/1.98 skaf57 [79, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.61/1.98 skaf56 [80, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.61/1.98 skaf55 [81, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.61/1.98 skaf54 [82, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.61/1.98 skaf53 [83, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.61/1.98 skaf52 [84, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.61/1.98 skaf51 [85, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.61/1.98 skaf50 [86, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.61/1.98 skaf49 [87, 1] (w:1, o:40, a:1, s:1, b:0),
% 1.61/1.98 skaf44 [88, 1] (w:1, o:41, a:1, s:1, b:0),
% 1.61/1.98 skaf48 [90, 2] (w:1, o:109, a:1, s:1, b:0),
% 1.61/1.98 skaf47 [91, 2] (w:1, o:108, a:1, s:1, b:0),
% 1.61/1.98 skaf46 [92, 2] (w:1, o:107, a:1, s:1, b:0),
% 1.61/1.98 skaf45 [93, 2] (w:1, o:106, a:1, s:1, b:0),
% 1.61/1.98 skaf43 [94, 2] (w:1, o:111, a:1, s:1, b:0),
% 1.61/1.98 skaf42 [95, 2] (w:1, o:110, a:1, s:1, b:0),
% 1.61/1.98 geq [96, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.61/1.98 segmentP [97, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.61/1.98 rearsegP [98, 2] (w:1, o:105, a:1, s:1, b:0),
% 1.61/1.98 frontsegP [99, 2] (w:1, o:112, a:1, s:1, b:0),
% 1.61/1.98 leq [100, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.61/1.98 lt [101, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.61/1.98 cons [102, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.61/1.98 memberP [103, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.61/1.98 app [104, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.61/1.98 tl [105, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.61/1.98 hd [106, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.61/1.98 neq [107, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.61/1.98 gt [108, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.61/1.98 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.61/1.98 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.61/1.98 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.61/1.98 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.61/1.98 sk5 [117, 0] (w:1, o:11, a:1, s:1, b:0).
% 1.61/1.98
% 1.61/1.98
% 1.61/1.98 Starting Search:
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98
% 1.61/1.98 Intermediate Status:
% 1.61/1.98 Generated: 4083
% 1.61/1.98 Kept: 2000
% 1.61/1.98 Inuse: 208
% 1.61/1.98 Deleted: 2
% 1.61/1.98 Deletedinuse: 0
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98
% 1.61/1.98 Intermediate Status:
% 1.61/1.98 Generated: 9237
% 1.61/1.98 Kept: 4802
% 1.61/1.98 Inuse: 292
% 1.61/1.98 Deleted: 4
% 1.61/1.98 Deletedinuse: 0
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98
% 1.61/1.98 Intermediate Status:
% 1.61/1.98 Generated: 15278
% 1.61/1.98 Kept: 7255
% 1.61/1.98 Inuse: 372
% 1.61/1.98 Deleted: 4
% 1.61/1.98 Deletedinuse: 0
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98
% 1.61/1.98 Intermediate Status:
% 1.61/1.98 Generated: 25710
% 1.61/1.98 Kept: 9573
% 1.61/1.98 Inuse: 407
% 1.61/1.98 Deleted: 4
% 1.61/1.98 Deletedinuse: 0
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98
% 1.61/1.98 Intermediate Status:
% 1.61/1.98 Generated: 40941
% 1.61/1.98 Kept: 11644
% 1.61/1.98 Inuse: 457
% 1.61/1.98 Deleted: 6
% 1.61/1.98 Deletedinuse: 2
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98
% 1.61/1.98 Intermediate Status:
% 1.61/1.98 Generated: 48767
% 1.61/1.98 Kept: 13756
% 1.61/1.98 Inuse: 512
% 1.61/1.98 Deleted: 6
% 1.61/1.98 Deletedinuse: 2
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98 Done
% 1.61/1.98
% 1.61/1.98 Resimplifying inuse:
% 1.61/1.98
% 1.61/1.98 Bliksems!, er is een bewijs:
% 1.61/1.98 % SZS status Unsatisfiable
% 1.61/1.98 % SZS output start Refutation
% 1.61/1.98
% 1.61/1.98 clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.61/1.98 ), =( nil, X ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 1.61/1.98 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 182, [ ssList( sk1 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 186, [ =( sk4, sk2 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 187, [ =( sk3, sk1 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 188, [ ssList( sk5 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 189, [ =( app( sk1, sk5 ), sk2 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 192, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 193, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 194, [ ~( =( nil, sk1 ) ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 562, [ frontsegP( sk1, sk1 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 1967, [ ~( =( X, sk1 ) ), ~( frontsegP( nil, X ) ), ~( ssList( X )
% 1.61/1.98 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 1978, [ ~( frontsegP( nil, sk1 ) ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 13871, [ ~( ssList( sk1 ) ), =( nil, sk1 ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 14639, [ ~( =( app( Y, sk1 ), app( Y, X ) ) ), ~( ssList( Y ) ),
% 1.61/1.98 ~( ssList( X ) ), ~( frontsegP( sk1, X ) ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 14931, [ ~( =( app( X, sk1 ), app( X, X ) ) ), ~( ssList( X ) ),
% 1.61/1.98 ~( frontsegP( sk1, X ) ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 14933, [ ~( frontsegP( sk1, sk1 ) ) ] )
% 1.61/1.98 .
% 1.61/1.98 clause( 15067, [] )
% 1.61/1.98 .
% 1.61/1.98
% 1.61/1.98
% 1.61/1.98 % SZS output end Refutation
% 1.61/1.98 found a proof!
% 1.61/1.98
% 1.61/1.98 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.61/1.98
% 1.61/1.98 initialclauses(
% 1.61/1.98 [ clause( 15069, [ equalelemsP( nil ) ] )
% 1.61/1.98 , clause( 15070, [ duplicatefreeP( nil ) ] )
% 1.61/1.98 , clause( 15071, [ strictorderedP( nil ) ] )
% 1.61/1.98 , clause( 15072, [ totalorderedP( nil ) ] )
% 1.61/1.98 , clause( 15073, [ strictorderP( nil ) ] )
% 1.61/1.98 , clause( 15074, [ totalorderP( nil ) ] )
% 1.61/1.98 , clause( 15075, [ cyclefreeP( nil ) ] )
% 1.61/1.98 , clause( 15076, [ ssList( nil ) ] )
% 1.61/1.98 , clause( 15077, [ ssItem( skac3 ) ] )
% 1.61/1.98 , clause( 15078, [ ssItem( skac2 ) ] )
% 1.61/1.98 , clause( 15079, [ ~( singletonP( nil ) ) ] )
% 1.61/1.98 , clause( 15080, [ ssItem( skaf83( X ) ) ] )
% 1.61/1.98 , clause( 15081, [ ssList( skaf82( X ) ) ] )
% 1.61/1.98 , clause( 15082, [ ssList( skaf81( X ) ) ] )
% 1.61/1.98 , clause( 15083, [ ssList( skaf80( X ) ) ] )
% 1.61/1.98 , clause( 15084, [ ssItem( skaf79( X ) ) ] )
% 1.61/1.98 , clause( 15085, [ ssItem( skaf78( X ) ) ] )
% 1.61/1.98 , clause( 15086, [ ssList( skaf77( X ) ) ] )
% 1.61/1.98 , clause( 15087, [ ssList( skaf76( X ) ) ] )
% 1.61/1.98 , clause( 15088, [ ssList( skaf75( X ) ) ] )
% 1.61/1.98 , clause( 15089, [ ssItem( skaf74( X ) ) ] )
% 1.61/1.98 , clause( 15090, [ ssList( skaf73( X ) ) ] )
% 1.61/1.98 , clause( 15091, [ ssList( skaf72( X ) ) ] )
% 1.61/1.98 , clause( 15092, [ ssList( skaf71( X ) ) ] )
% 1.61/1.98 , clause( 15093, [ ssItem( skaf70( X ) ) ] )
% 1.61/1.98 , clause( 15094, [ ssItem( skaf69( X ) ) ] )
% 1.61/1.98 , clause( 15095, [ ssList( skaf68( X ) ) ] )
% 1.61/1.98 , clause( 15096, [ ssList( skaf67( X ) ) ] )
% 1.61/1.98 , clause( 15097, [ ssList( skaf66( X ) ) ] )
% 1.61/1.98 , clause( 15098, [ ssItem( skaf65( X ) ) ] )
% 1.61/1.98 , clause( 15099, [ ssItem( skaf64( X ) ) ] )
% 1.61/1.98 , clause( 15100, [ ssList( skaf63( X ) ) ] )
% 1.61/1.98 , clause( 15101, [ ssList( skaf62( X ) ) ] )
% 1.61/1.98 , clause( 15102, [ ssList( skaf61( X ) ) ] )
% 1.61/1.98 , clause( 15103, [ ssItem( skaf60( X ) ) ] )
% 1.61/1.98 , clause( 15104, [ ssItem( skaf59( X ) ) ] )
% 1.61/1.98 , clause( 15105, [ ssList( skaf58( X ) ) ] )
% 1.61/1.98 , clause( 15106, [ ssList( skaf57( X ) ) ] )
% 1.61/1.98 , clause( 15107, [ ssList( skaf56( X ) ) ] )
% 1.61/1.98 , clause( 15108, [ ssItem( skaf55( X ) ) ] )
% 1.61/1.98 , clause( 15109, [ ssItem( skaf54( X ) ) ] )
% 1.61/1.98 , clause( 15110, [ ssList( skaf53( X ) ) ] )
% 1.61/1.98 , clause( 15111, [ ssList( skaf52( X ) ) ] )
% 1.61/1.98 , clause( 15112, [ ssList( skaf51( X ) ) ] )
% 1.61/1.98 , clause( 15113, [ ssItem( skaf50( X ) ) ] )
% 1.61/1.98 , clause( 15114, [ ssItem( skaf49( X ) ) ] )
% 1.61/1.98 , clause( 15115, [ ssItem( skaf44( X ) ) ] )
% 1.61/1.98 , clause( 15116, [ ssList( skaf48( X, Y ) ) ] )
% 1.61/1.98 , clause( 15117, [ ssList( skaf47( X, Y ) ) ] )
% 1.61/1.98 , clause( 15118, [ ssList( skaf46( X, Y ) ) ] )
% 1.61/1.98 , clause( 15119, [ ssList( skaf45( X, Y ) ) ] )
% 1.61/1.98 , clause( 15120, [ ssList( skaf43( X, Y ) ) ] )
% 1.61/1.98 , clause( 15121, [ ssList( skaf42( X, Y ) ) ] )
% 1.61/1.98 , clause( 15122, [ ~( =( skac3, skac2 ) ) ] )
% 1.61/1.98 , clause( 15123, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 1.61/1.98 , clause( 15124, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 1.61/1.98 , clause( 15125, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 1.61/1.98 , clause( 15126, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 1.61/1.98 , clause( 15127, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 1.61/1.98 , clause( 15128, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 1.61/1.98 , clause( 15129, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.61/1.98 , clause( 15130, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 1.61/1.98 , clause( 15131, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 1.61/1.98 , clause( 15132, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 1.61/1.98 , clause( 15133, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 1.61/1.98 , clause( 15134, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 1.61/1.98 , clause( 15135, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 1.61/1.98 , clause( 15136, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 1.61/1.98 , clause( 15137, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 1.61/1.98 , clause( 15138, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 1.61/1.98 , clause( 15139, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 1.61/1.98 , clause( 15140, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 1.61/1.98 , clause( 15141, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 1.61/1.98 , clause( 15142, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 1.61/1.98 , clause( 15143, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 1.61/1.98 , clause( 15144, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 1.61/1.98 , clause( 15145, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 1.61/1.98 , clause( 15146, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 1.61/1.98 , clause( 15147, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 1.61/1.98 )
% 1.61/1.98 , clause( 15148, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.61/1.98 )
% 1.61/1.98 , clause( 15149, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 1.61/1.98 )
% 1.61/1.98 , clause( 15150, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 1.61/1.98 )
% 1.61/1.98 , clause( 15151, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 1.61/1.98 ] )
% 1.61/1.98 , clause( 15152, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 1.61/1.98 ] )
% 1.61/1.98 , clause( 15153, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 1.61/1.98 ) ] )
% 1.61/1.98 , clause( 15154, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 1.61/1.98 ) ] )
% 1.61/1.98 , clause( 15155, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 1.61/1.98 skaf49( X ) ) ] )
% 1.61/1.98 , clause( 15156, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 1.61/1.98 skaf50( X ) ) ] )
% 1.61/1.98 , clause( 15157, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 1.61/1.98 equalelemsP( X ) ] )
% 1.61/1.98 , clause( 15158, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 1.61/1.98 strictorderedP( X ) ] )
% 1.61/1.98 , clause( 15159, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 1.61/1.98 totalorderedP( X ) ] )
% 1.61/1.98 , clause( 15160, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 1.61/1.98 strictorderP( X ) ] )
% 1.61/1.98 , clause( 15161, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 1.61/1.98 strictorderP( X ) ] )
% 1.61/1.98 , clause( 15162, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 1.61/1.98 totalorderP( X ) ] )
% 1.61/1.98 , clause( 15163, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 1.61/1.98 totalorderP( X ) ] )
% 1.61/1.98 , clause( 15164, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 1.61/1.98 ), Y ) ] )
% 1.61/1.98 , clause( 15165, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 1.61/1.98 ), X ) ] )
% 1.61/1.98 , clause( 15166, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 1.61/1.98 Y ) ) ] )
% 1.61/1.98 , clause( 15167, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 1.61/1.98 Y ) ) ] )
% 1.61/1.98 , clause( 15168, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 1.61/1.98 ) ] )
% 1.61/1.98 , clause( 15169, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 1.61/1.98 X ), nil ), X ) ] )
% 1.61/1.98 , clause( 15170, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 1.61/1.98 ) ] )
% 1.61/1.98 , clause( 15171, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 1.61/1.98 X, Y ) ] )
% 1.61/1.98 , clause( 15172, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 1.61/1.98 nil, X ) ] )
% 1.61/1.98 , clause( 15173, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.61/1.98 Y, X ) ] )
% 1.61/1.98 , clause( 15174, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 1.61/1.98 Y, X ) ] )
% 1.61/1.98 , clause( 15175, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 1.61/1.98 leq( Y, X ) ] )
% 1.61/1.98 , clause( 15176, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 1.61/1.98 geq( Y, X ) ] )
% 1.61/1.98 , clause( 15177, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 1.61/1.98 ), =( nil, X ) ] )
% 1.61/1.98 , clause( 15178, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 1.61/1.98 ssItem( Y ) ) ] )
% 1.61/1.98 , clause( 15179, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 1.61/1.98 ssItem( X ) ) ] )
% 1.61/1.98 , clause( 15180, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 1.61/1.98 strictorderedP( cons( Y, X ) ) ] )
% 1.61/1.98 , clause( 15181, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 1.61/1.98 totalorderedP( cons( Y, X ) ) ] )
% 1.61/1.98 , clause( 15182, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 1.61/1.98 ssItem( Y ) ) ] )
% 1.61/1.98 , clause( 15183, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 1.61/1.98 ssList( X ) ) ] )
% 1.61/1.98 , clause( 15184, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 1.61/1.98 Y ) ), singletonP( Y ) ] )
% 1.61/1.98 , clause( 15185, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 1.61/1.98 ssItem( X ) ) ] )
% 1.61/1.98 , clause( 15186, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 1.61/1.98 X ) ), =( nil, X ) ] )
% 1.61/1.98 , clause( 15187, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 1.61/1.98 X ) ), =( nil, Y ) ] )
% 1.61/1.98 , clause( 15188, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 1.61/1.98 ), Y ), cons( X, Y ) ) ] )
% 1.61/1.98 , clause( 15189, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.61/1.98 X, Y ), =( X, Y ) ] )
% 1.61/1.98 , clause( 15190, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 1.61/1.98 X, Y ), =( X, Y ) ] )
% 1.61/1.98 , clause( 15191, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 1.61/1.98 app( Y, X ) ), hd( Y ) ) ] )
% 1.61/1.98 , clause( 15192, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.61/1.98 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 1.61/1.98 , clause( 15193, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.61/1.98 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 1.61/1.98 , clause( 15194, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 1.61/1.98 ~( ssItem( Y ) ), =( Y, X ) ] )
% 1.61/1.98 , clause( 15195, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 1.61/1.98 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.61/1.98 , clause( 15196, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 1.61/1.98 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.61/1.98 , clause( 15197, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 1.61/1.98 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 1.61/1.98 , clause( 15198, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 1.61/1.98 ~( ssItem( Y ) ), =( Y, X ) ] )
% 1.61/1.98 , clause( 15199, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.61/1.98 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 1.61/1.98 , clause( 15200, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.61/1.98 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 1.61/1.98 , clause( 15201, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 1.61/1.98 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 1.61/1.98 , clause( 15202, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.61/1.98 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 1.61/1.98 , clause( 15203, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 1.61/1.98 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 1.61/1.98 , clause( 15204, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 1.61/1.98 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 1.61/1.98 , clause( 15205, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 1.61/1.98 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 1.61/1.98 , clause( 15206, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 1.61/1.98 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 1.61/1.98 , clause( 15207, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 1.61/1.98 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 1.61/1.98 , clause( 15208, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 1.61/1.98 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 1.61/1.98 , clause( 15209, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 1.61/1.98 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 1.61/1.98 , clause( 15210, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 1.61/1.98 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 1.61/1.98 , clause( 15211, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 1.61/1.98 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 1.61/1.98 , clause( 15212, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 1.61/1.98 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 1.61/1.98 , clause( 15213, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 1.61/1.98 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 1.61/1.98 , clause( 15214, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.61/1.98 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 1.61/1.98 , clause( 15215, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.61/1.98 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 1.61/1.98 , clause( 15216, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 1.61/1.98 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 1.61/1.98 , clause( 15217, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.61/1.98 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 1.61/1.98 , clause( 15218, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 1.61/1.98 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 1.61/1.98 , clause( 15219, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 1.61/1.98 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 1.61/1.98 , clause( 15220, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 1.61/1.98 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 1.61/1.98 , clause( 15221, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 1.61/1.98 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 1.61/1.98 , clause( 15222, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 1.61/1.98 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 1.61/1.98 , clause( 15223, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 1.61/1.98 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 1.61/1.98 , clause( 15224, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 1.61/1.98 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 1.61/1.98 , clause( 15225, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 1.61/1.98 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 1.61/1.98 , clause( 15226, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 1.61/1.98 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 1.61/1.98 , clause( 15227, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 1.61/1.98 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 1.61/1.98 ) ] )
% 1.61/1.98 , clause( 15228, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 1.61/1.98 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 1.61/1.98 Y ) ] )
% 1.61/1.98 , clause( 15229, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 1.61/1.98 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 1.61/1.98 , clause( 15230, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 1.61/1.98 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 1.61/1.98 skaf77( X ) ) ), X ) ] )
% 1.61/1.98 , clause( 15231, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 1.61/1.98 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 1.61/1.98 skaf73( X ) ) ), X ) ] )
% 1.61/1.98 , clause( 15232, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 1.61/1.98 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 1.61/1.98 skaf68( X ) ) ), X ) ] )
% 1.61/1.98 , clause( 15233, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 1.61/1.98 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 1.61/1.98 ), X ) ] )
% 1.61/1.98 , clause( 15234, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 1.61/1.98 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 1.61/1.98 ), X ) ] )
% 1.61/1.98 , clause( 15235, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 1.61/1.98 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 1.61/1.98 ), X ) ] )
% 1.61/1.98 , clause( 15236, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.61/1.98 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 1.61/1.98 , clause( 15237, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 1.61/1.98 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 1.61/1.98 , clause( 15238, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 1.61/1.98 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 1.61/1.98 , clause( 15239, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 1.61/1.98 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 1.61/1.98 , clause( 15240, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 1.61/1.98 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 1.61/1.98 Y ) ] )
% 1.61/1.98 , clause( 15241, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 1.61/1.98 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 1.61/1.98 )
% 1.61/1.98 , clause( 15242, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 1.61/1.98 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 1.61/1.98 , T ) ] )
% 1.61/1.98 , clause( 15243, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 1.61/1.98 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 1.61/1.98 )
% 1.61/1.98 , clause( 15244, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 1.61/1.98 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 1.61/1.98 )
% 1.61/1.98 , clause( 15245, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 1.61/1.98 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 1.61/1.98 )
% 1.61/1.98 , clause( 15246, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 1.61/1.98 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 1.61/1.98 Z, X ), cons( T, Y ) ) ] )
% 1.61/1.98 , clause( 15247, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 1.61/1.98 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 1.61/1.98 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 1.61/1.98 , clause( 15248, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 1.61/1.98 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 1.61/1.98 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 1.61/1.98 , clause( 15249, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.61/1.98 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.61/1.98 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 1.61/1.98 ) ] )
% 1.61/1.98 , clause( 15250, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.61/1.98 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.61/1.98 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 1.61/1.98 ) ] )
% 1.61/1.98 , clause( 15251, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.61/1.98 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.61/1.98 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 1.61/1.98 , lt( T, Y ) ] )
% 1.61/1.98 , clause( 15252, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 1.61/1.99 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 1.61/1.99 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 1.61/1.99 , leq( T, Y ) ] )
% 1.61/1.99 , clause( 15253, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 1.61/1.99 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 1.61/1.99 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 1.61/1.99 ) ), ~( ssList( W ) ) ] )
% 1.61/1.99 , clause( 15254, [ ssList( sk1 ) ] )
% 1.61/1.99 , clause( 15255, [ ssList( sk2 ) ] )
% 1.61/1.99 , clause( 15256, [ ssList( sk3 ) ] )
% 1.61/1.99 , clause( 15257, [ ssList( sk4 ) ] )
% 1.61/1.99 , clause( 15258, [ =( sk2, sk4 ) ] )
% 1.61/1.99 , clause( 15259, [ =( sk1, sk3 ) ] )
% 1.61/1.99 , clause( 15260, [ ssList( sk5 ) ] )
% 1.61/1.99 , clause( 15261, [ =( app( sk3, sk5 ), sk4 ) ] )
% 1.61/1.99 , clause( 15262, [ strictorderedP( sk3 ) ] )
% 1.61/1.99 , clause( 15263, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X,
% 1.61/1.99 nil ), Y ), sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T,
% 1.61/1.99 cons( Z, nil ) ), sk3 ) ), ~( lt( Z, X ) ) ] )
% 1.61/1.99 , clause( 15264, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 1.92/2.30 , clause( 15265, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 1.92/2.30 , clause( 15266, [ =( nil, sk2 ), ~( =( nil, sk2 ) ) ] )
% 1.92/2.30 , clause( 15267, [ ~( =( nil, sk1 ) ), =( nil, sk1 ) ] )
% 1.92/2.30 , clause( 15268, [ ~( =( nil, sk1 ) ), ~( =( nil, sk2 ) ) ] )
% 1.92/2.30 ] ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.92/2.30 , clause( 15129, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 1.92/2.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.92/2.30 1 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 1.92/2.30 , clause( 15152, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 1.92/2.30 ] )
% 1.92/2.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.92/2.30 1 ), ==>( 2, 2 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 1.92/2.30 ), =( nil, X ) ] )
% 1.92/2.30 , clause( 15186, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 1.92/2.30 X ) ), =( nil, X ) ] )
% 1.92/2.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.92/2.30 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 1.92/2.30 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 1.92/2.30 , clause( 15218, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 1.92/2.30 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 1.92/2.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.92/2.30 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 1.92/2.30 ==>( 4, 4 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 182, [ ssList( sk1 ) ] )
% 1.92/2.30 , clause( 15254, [ ssList( sk1 ) ] )
% 1.92/2.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 eqswap(
% 1.92/2.30 clause( 17032, [ =( sk4, sk2 ) ] )
% 1.92/2.30 , clause( 15258, [ =( sk2, sk4 ) ] )
% 1.92/2.30 , 0, substitution( 0, [] )).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 186, [ =( sk4, sk2 ) ] )
% 1.92/2.30 , clause( 17032, [ =( sk4, sk2 ) ] )
% 1.92/2.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 eqswap(
% 1.92/2.30 clause( 17791, [ =( sk3, sk1 ) ] )
% 1.92/2.30 , clause( 15259, [ =( sk1, sk3 ) ] )
% 1.92/2.30 , 0, substitution( 0, [] )).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 187, [ =( sk3, sk1 ) ] )
% 1.92/2.30 , clause( 17791, [ =( sk3, sk1 ) ] )
% 1.92/2.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 188, [ ssList( sk5 ) ] )
% 1.92/2.30 , clause( 15260, [ ssList( sk5 ) ] )
% 1.92/2.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 paramod(
% 1.92/2.30 clause( 19706, [ =( app( sk1, sk5 ), sk4 ) ] )
% 1.92/2.30 , clause( 187, [ =( sk3, sk1 ) ] )
% 1.92/2.30 , 0, clause( 15261, [ =( app( sk3, sk5 ), sk4 ) ] )
% 1.92/2.30 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 paramod(
% 1.92/2.30 clause( 19707, [ =( app( sk1, sk5 ), sk2 ) ] )
% 1.92/2.30 , clause( 186, [ =( sk4, sk2 ) ] )
% 1.92/2.30 , 0, clause( 19706, [ =( app( sk1, sk5 ), sk4 ) ] )
% 1.92/2.30 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 189, [ =( app( sk1, sk5 ), sk2 ) ] )
% 1.92/2.30 , clause( 19707, [ =( app( sk1, sk5 ), sk2 ) ] )
% 1.92/2.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 paramod(
% 1.92/2.30 clause( 20894, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 1.92/2.30 , clause( 186, [ =( sk4, sk2 ) ] )
% 1.92/2.30 , 0, clause( 15264, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 1.92/2.30 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 paramod(
% 1.92/2.30 clause( 20895, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 1.92/2.30 , clause( 187, [ =( sk3, sk1 ) ] )
% 1.92/2.30 , 0, clause( 20894, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 1.92/2.30 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 192, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 1.92/2.30 , clause( 20895, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 1.92/2.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.92/2.30 ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 subsumption(
% 1.92/2.30 clause( 193, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 1.92/2.30 , clause( 15265, [ =( nil, sk2 ), =( nil, sk1 ) ] )
% 1.92/2.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.92/2.30 ).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 eqswap(
% 1.92/2.30 clause( 56436, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 1.92/2.30 , clause( 192, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 1.92/2.30 , 1, substitution( 0, [] )).
% 1.92/2.30
% 1.92/2.30
% 1.92/2.30 paramod(
% 1.92/2.30 clause( 56442, [ ~( =( sk2, sk2 ) ), ~( =( sk1, nil ) ), ~( =( nil, sk1 ) )
% 1.92/2.30 ] )
% 1.92/2.30 , clause( 56436, [ ~( =( sk1, nil ) ), =( nil, sk2 ) ] )
% 1.92/2.30 , 1, clause( 15268, [ ~( =( nil, sk1 ) ), ~( =( nil, sk2 ) ) ] )
% 1.92/2.30 , 1, 2, substitution( 0, [] ), substitCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------