TSTP Solution File: SWC100-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC100-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 19:33:48 EDT 2022
% Result : Unsatisfiable 5.52s 5.89s
% Output : Refutation 5.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC100-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 13:23:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.11 *** allocated 10000 integers for termspace/termends
% 0.43/1.11 *** allocated 10000 integers for clauses
% 0.43/1.11 *** allocated 10000 integers for justifications
% 0.43/1.11 Bliksem 1.12
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Automatic Strategy Selection
% 0.43/1.11
% 0.43/1.11 Clauses:
% 0.43/1.11 [
% 0.43/1.11 [ equalelemsP( nil ) ],
% 0.43/1.11 [ duplicatefreeP( nil ) ],
% 0.43/1.11 [ strictorderedP( nil ) ],
% 0.43/1.11 [ totalorderedP( nil ) ],
% 0.43/1.11 [ strictorderP( nil ) ],
% 0.43/1.11 [ totalorderP( nil ) ],
% 0.43/1.11 [ cyclefreeP( nil ) ],
% 0.43/1.11 [ ssList( nil ) ],
% 0.43/1.11 [ ssItem( skac3 ) ],
% 0.43/1.11 [ ssItem( skac2 ) ],
% 0.43/1.11 [ ~( singletonP( nil ) ) ],
% 0.43/1.11 [ ssItem( skaf83( X ) ) ],
% 0.43/1.11 [ ssList( skaf82( X ) ) ],
% 0.43/1.11 [ ssList( skaf81( X ) ) ],
% 0.43/1.11 [ ssList( skaf80( X ) ) ],
% 0.43/1.11 [ ssItem( skaf79( X ) ) ],
% 0.43/1.11 [ ssItem( skaf78( X ) ) ],
% 0.43/1.11 [ ssList( skaf77( X ) ) ],
% 0.43/1.11 [ ssList( skaf76( X ) ) ],
% 0.43/1.11 [ ssList( skaf75( X ) ) ],
% 0.43/1.11 [ ssItem( skaf74( X ) ) ],
% 0.43/1.11 [ ssList( skaf73( X ) ) ],
% 0.43/1.11 [ ssList( skaf72( X ) ) ],
% 0.43/1.11 [ ssList( skaf71( X ) ) ],
% 0.43/1.11 [ ssItem( skaf70( X ) ) ],
% 0.43/1.11 [ ssItem( skaf69( X ) ) ],
% 0.43/1.11 [ ssList( skaf68( X ) ) ],
% 0.43/1.11 [ ssList( skaf67( X ) ) ],
% 0.43/1.11 [ ssList( skaf66( X ) ) ],
% 0.43/1.11 [ ssItem( skaf65( X ) ) ],
% 0.43/1.11 [ ssItem( skaf64( X ) ) ],
% 0.43/1.11 [ ssList( skaf63( X ) ) ],
% 0.43/1.11 [ ssList( skaf62( X ) ) ],
% 0.43/1.11 [ ssList( skaf61( X ) ) ],
% 0.43/1.11 [ ssItem( skaf60( X ) ) ],
% 0.43/1.11 [ ssItem( skaf59( X ) ) ],
% 0.43/1.11 [ ssList( skaf58( X ) ) ],
% 0.43/1.11 [ ssList( skaf57( X ) ) ],
% 0.43/1.11 [ ssList( skaf56( X ) ) ],
% 0.43/1.11 [ ssItem( skaf55( X ) ) ],
% 0.43/1.11 [ ssItem( skaf54( X ) ) ],
% 0.43/1.11 [ ssList( skaf53( X ) ) ],
% 0.43/1.11 [ ssList( skaf52( X ) ) ],
% 0.43/1.11 [ ssList( skaf51( X ) ) ],
% 0.43/1.11 [ ssItem( skaf50( X ) ) ],
% 0.43/1.11 [ ssItem( skaf49( X ) ) ],
% 0.43/1.11 [ ssItem( skaf44( X ) ) ],
% 0.43/1.11 [ ssList( skaf48( X, Y ) ) ],
% 0.43/1.11 [ ssList( skaf47( X, Y ) ) ],
% 0.43/1.11 [ ssList( skaf46( X, Y ) ) ],
% 0.43/1.11 [ ssList( skaf45( X, Y ) ) ],
% 0.43/1.11 [ ssList( skaf43( X, Y ) ) ],
% 0.43/1.11 [ ssList( skaf42( X, Y ) ) ],
% 0.43/1.11 [ ~( =( skac3, skac2 ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.43/1.11 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.43/1.11 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.43/1.11 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.43/1.11 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.43/1.11 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.43/1.11 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.43/1.11 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.43/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.43/1.11 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.43/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.43/1.11 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.43/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.43/1.11 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.43/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.43/1.11 ],
% 0.43/1.11 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.43/1.11 X ) ],
% 0.43/1.11 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.43/1.11 X ) ],
% 0.43/1.11 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.43/1.11 ) ],
% 0.43/1.11 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.43/1.11 ) ],
% 0.43/1.11 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.43/1.11 ) ],
% 0.43/1.11 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.43/1.11 ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.43/1.11 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.43/1.11 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.43/1.11 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.43/1.11 ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.43/1.11 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.43/1.11 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.43/1.11 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.43/1.11 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.43/1.11 ) ],
% 0.43/1.11 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.43/1.11 cons( Y, X ) ) ],
% 0.43/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.43/1.11 cons( Y, X ) ) ],
% 0.43/1.11 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.43/1.11 singletonP( Y ) ],
% 0.43/1.11 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.43/1.11 , X ) ],
% 0.43/1.11 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.43/1.11 , Y ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.43/1.11 X, Y ) ) ],
% 0.43/1.11 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.43/1.11 , Y ) ],
% 0.43/1.11 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.43/1.11 , Y ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.43/1.11 , hd( Y ) ) ],
% 0.43/1.11 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.43/1.11 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.43/1.11 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.43/1.11 , totalorderedP( Y ), =( nil, Y ) ],
% 0.43/1.11 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.43/1.11 , =( Y, X ) ],
% 0.43/1.11 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.43/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.43/1.11 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.43/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.43/1.11 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.43/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.43/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.43/1.11 , =( Y, X ) ],
% 0.43/1.11 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.43/1.11 skaf46( X, Y ), Y ), X ) ],
% 0.43/1.11 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.43/1.11 , skaf45( X, Y ) ), X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.43/1.11 , app( tl( Y ), X ) ) ],
% 0.43/1.11 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.43/1.11 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.43/1.11 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.43/1.11 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.43/1.11 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.43/1.11 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.43/1.11 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.43/1.11 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.43/1.11 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.43/1.11 memberP( cons( Y, Z ), X ) ],
% 0.43/1.11 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.43/1.11 ) ), memberP( cons( Z, X ), Y ) ],
% 0.43/1.11 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.43/1.11 ) ), memberP( app( X, Z ), Y ) ],
% 0.43/1.11 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.43/1.11 ) ), memberP( app( Z, X ), Y ) ],
% 0.43/1.11 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.43/1.11 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.43/1.11 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.43/1.11 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.43/1.11 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.43/1.11 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.43/1.11 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.43/1.11 , =( app( X, Y ), nil ) ],
% 0.43/1.11 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.43/1.11 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.43/1.11 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.43/1.11 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.43/1.11 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.43/1.11 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.43/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.43/1.11 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.43/1.11 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.43/1.11 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.43/1.11 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.43/1.11 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.43/1.11 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.43/1.11 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.43/1.11 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.43/1.11 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.43/1.11 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.43/1.11 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.43/1.11 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.43/1.11 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.43/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.43/1.11 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.43/1.11 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.43/1.11 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.43/1.11 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.43/1.11 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.43/1.11 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.43/1.11 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.43/1.11 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.43/1.11 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.43/1.11 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.43/1.11 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.43/1.11 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.43/1.11 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.43/1.11 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.43/1.11 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.43/1.11 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.43/1.11 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.43/1.11 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.43/1.11 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.43/1.11 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.43/1.11 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.43/1.11 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.43/1.11 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.43/1.11 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.43/1.11 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.43/1.11 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.43/1.11 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.43/1.11 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.43/1.11 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.43/1.11 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.43/1.11 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.43/1.11 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.43/1.11 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.43/1.11 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.43/1.11 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.43/1.11 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.43/1.11 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.43/1.11 T, Y ) ) ],
% 0.43/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.43/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.43/1.11 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.43/1.11 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.43/1.11 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.43/1.11 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.43/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.43/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.43/1.11 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.43/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.43/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.43/1.11 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.43/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.43/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.43/1.11 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.43/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.43/1.11 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.43/1.11 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.43/1.11 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.43/1.11 W ) ) ],
% 0.43/1.11 [ ssList( sk1 ) ],
% 0.43/1.11 [ ssList( sk2 ) ],
% 0.43/1.11 [ ssList( sk3 ) ],
% 0.43/1.11 [ ssList( sk4 ) ],
% 0.43/1.11 [ =( sk2, sk4 ) ],
% 0.43/1.11 [ =( sk1, sk3 ) ],
% 0.43/1.11 [ ssList( sk5 ) ],
% 0.43/1.11 [ =( app( sk3, sk5 ), sk4 ) ],
% 0.43/1.11 [ strictorderedP( sk3 ) ],
% 0.43/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, nil ), Y ),
% 0.43/1.11 sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T, cons( Z, nil )
% 0.43/1.11 ), sk3 ) ), ~( lt( Z, X ) ) ],
% 0.43/1.11 [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ],
% 0.43/1.11 [ =( nil, sk2 ), neq( sk2, nil ) ],
% 0.43/1.11 [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1 ) ) ],
% 0.43/1.11 [ ~( =( nil, sk1 ) ), neq( sk2, nil ) ],
% 0.43/1.11 [ ~( =( nil, sk1 ) ), ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1 ) ) ]
% 0.43/1.11
% 0.43/1.11 ] .
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 percentage equality = 0.170692, percentage horn = 0.842640
% 0.43/1.11 This is a problem with some equality
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Options Used:
% 0.43/1.11
% 0.43/1.11 useres = 1
% 0.43/1.11 useparamod = 1
% 0.43/1.11 useeqrefl = 1
% 0.43/1.11 useeqfact = 1
% 0.43/1.11 usefactor = 1
% 0.43/1.11 usesimpsplitting = 0
% 0.43/1.11 usesimpdemod = 5
% 0.43/1.11 usesimpres = 3
% 0.43/1.11
% 0.43/1.11 resimpinuse = 1000
% 0.43/1.11 resimpclauses = 20000
% 0.43/1.11 substype = eqrewr
% 0.43/1.11 backwardsubs = 1
% 0.43/1.11 selectoldest = 5
% 0.43/1.11
% 0.43/1.11 litorderings [0] = split
% 0.43/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.11
% 0.43/1.11 termordering = kbo
% 0.43/1.11
% 0.43/1.11 litapriori = 0
% 0.43/1.11 termapriori = 1
% 0.43/1.11 litaposteriori = 0
% 0.43/1.11 termaposteriori = 0
% 0.43/1.11 demodaposteriori = 0
% 0.43/1.11 ordereqreflfact = 0
% 0.43/1.11
% 0.43/1.11 litselect = negord
% 0.43/1.11
% 0.43/1.11 maxweight = 15
% 0.43/1.11 maxdepth = 30000
% 0.43/1.11 maxlength = 115
% 0.43/1.11 maxnrvars = 195
% 0.43/1.11 excuselevel = 1
% 0.43/1.11 increasemaxweight = 1
% 0.43/1.11
% 0.43/1.11 maxselected = 10000000
% 0.43/1.11 maxnrclauses = 10000000
% 5.52/5.89
% 5.52/5.89 showgenerated = 0
% 5.52/5.89 showkept = 0
% 5.52/5.89 showselected = 0
% 5.52/5.89 showdeleted = 0
% 5.52/5.89 showresimp = 1
% 5.52/5.89 showstatus = 2000
% 5.52/5.89
% 5.52/5.89 prologoutput = 1
% 5.52/5.89 nrgoals = 5000000
% 5.52/5.89 totalproof = 1
% 5.52/5.89
% 5.52/5.89 Symbols occurring in the translation:
% 5.52/5.89
% 5.52/5.89 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.52/5.89 . [1, 2] (w:1, o:80, a:1, s:1, b:0),
% 5.52/5.89 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 5.52/5.89 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.52/5.89 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.52/5.89 nil [39, 0] (w:1, o:16, a:1, s:1, b:0),
% 5.52/5.89 equalelemsP [40, 1] (w:1, o:34, a:1, s:1, b:0),
% 5.52/5.89 duplicatefreeP [41, 1] (w:1, o:33, a:1, s:1, b:0),
% 5.52/5.89 strictorderedP [42, 1] (w:1, o:37, a:1, s:1, b:0),
% 5.52/5.89 totalorderedP [43, 1] (w:1, o:76, a:1, s:1, b:0),
% 5.52/5.89 strictorderP [44, 1] (w:1, o:38, a:1, s:1, b:0),
% 5.52/5.89 totalorderP [45, 1] (w:1, o:77, a:1, s:1, b:0),
% 5.52/5.89 cyclefreeP [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 5.52/5.89 ssList [47, 1] (w:1, o:35, a:1, s:1, b:0),
% 5.52/5.89 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 5.52/5.89 ssItem [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 5.52/5.89 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 5.52/5.89 singletonP [51, 1] (w:1, o:39, a:1, s:1, b:0),
% 5.52/5.89 skaf83 [53, 1] (w:1, o:75, a:1, s:1, b:0),
% 5.52/5.89 skaf82 [54, 1] (w:1, o:74, a:1, s:1, b:0),
% 5.52/5.89 skaf81 [55, 1] (w:1, o:73, a:1, s:1, b:0),
% 5.52/5.89 skaf80 [56, 1] (w:1, o:72, a:1, s:1, b:0),
% 5.52/5.89 skaf79 [57, 1] (w:1, o:71, a:1, s:1, b:0),
% 5.52/5.89 skaf78 [58, 1] (w:1, o:70, a:1, s:1, b:0),
% 5.52/5.89 skaf77 [59, 1] (w:1, o:69, a:1, s:1, b:0),
% 5.52/5.89 skaf76 [60, 1] (w:1, o:68, a:1, s:1, b:0),
% 5.52/5.89 skaf75 [61, 1] (w:1, o:67, a:1, s:1, b:0),
% 5.52/5.89 skaf74 [62, 1] (w:1, o:66, a:1, s:1, b:0),
% 5.52/5.89 skaf73 [63, 1] (w:1, o:65, a:1, s:1, b:0),
% 5.52/5.89 skaf72 [64, 1] (w:1, o:64, a:1, s:1, b:0),
% 5.52/5.89 skaf71 [65, 1] (w:1, o:63, a:1, s:1, b:0),
% 5.52/5.89 skaf70 [66, 1] (w:1, o:62, a:1, s:1, b:0),
% 5.52/5.89 skaf69 [67, 1] (w:1, o:61, a:1, s:1, b:0),
% 5.52/5.89 skaf68 [68, 1] (w:1, o:60, a:1, s:1, b:0),
% 5.52/5.89 skaf67 [69, 1] (w:1, o:59, a:1, s:1, b:0),
% 5.52/5.89 skaf66 [70, 1] (w:1, o:58, a:1, s:1, b:0),
% 5.52/5.89 skaf65 [71, 1] (w:1, o:57, a:1, s:1, b:0),
% 5.52/5.89 skaf64 [72, 1] (w:1, o:56, a:1, s:1, b:0),
% 5.52/5.89 skaf63 [73, 1] (w:1, o:55, a:1, s:1, b:0),
% 5.52/5.89 skaf62 [74, 1] (w:1, o:54, a:1, s:1, b:0),
% 5.52/5.89 skaf61 [75, 1] (w:1, o:53, a:1, s:1, b:0),
% 5.52/5.89 skaf60 [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 5.52/5.89 skaf59 [77, 1] (w:1, o:51, a:1, s:1, b:0),
% 5.52/5.89 skaf58 [78, 1] (w:1, o:50, a:1, s:1, b:0),
% 5.52/5.89 skaf57 [79, 1] (w:1, o:49, a:1, s:1, b:0),
% 5.52/5.89 skaf56 [80, 1] (w:1, o:48, a:1, s:1, b:0),
% 5.52/5.89 skaf55 [81, 1] (w:1, o:47, a:1, s:1, b:0),
% 5.52/5.89 skaf54 [82, 1] (w:1, o:46, a:1, s:1, b:0),
% 5.52/5.89 skaf53 [83, 1] (w:1, o:45, a:1, s:1, b:0),
% 5.52/5.89 skaf52 [84, 1] (w:1, o:44, a:1, s:1, b:0),
% 5.52/5.89 skaf51 [85, 1] (w:1, o:43, a:1, s:1, b:0),
% 5.52/5.89 skaf50 [86, 1] (w:1, o:42, a:1, s:1, b:0),
% 5.52/5.89 skaf49 [87, 1] (w:1, o:40, a:1, s:1, b:0),
% 5.52/5.89 skaf44 [88, 1] (w:1, o:41, a:1, s:1, b:0),
% 5.52/5.89 skaf48 [90, 2] (w:1, o:109, a:1, s:1, b:0),
% 5.52/5.89 skaf47 [91, 2] (w:1, o:108, a:1, s:1, b:0),
% 5.52/5.89 skaf46 [92, 2] (w:1, o:107, a:1, s:1, b:0),
% 5.52/5.89 skaf45 [93, 2] (w:1, o:106, a:1, s:1, b:0),
% 5.52/5.89 skaf43 [94, 2] (w:1, o:111, a:1, s:1, b:0),
% 5.52/5.89 skaf42 [95, 2] (w:1, o:110, a:1, s:1, b:0),
% 5.52/5.89 geq [96, 2] (w:1, o:113, a:1, s:1, b:0),
% 5.52/5.89 segmentP [97, 2] (w:1, o:114, a:1, s:1, b:0),
% 5.52/5.89 rearsegP [98, 2] (w:1, o:105, a:1, s:1, b:0),
% 5.52/5.89 frontsegP [99, 2] (w:1, o:112, a:1, s:1, b:0),
% 5.52/5.89 leq [100, 2] (w:1, o:115, a:1, s:1, b:0),
% 5.52/5.89 lt [101, 2] (w:1, o:116, a:1, s:1, b:0),
% 5.52/5.89 cons [102, 2] (w:1, o:117, a:1, s:1, b:0),
% 5.52/5.89 memberP [103, 2] (w:1, o:118, a:1, s:1, b:0),
% 5.52/5.89 app [104, 2] (w:1, o:119, a:1, s:1, b:0),
% 5.52/5.89 tl [105, 1] (w:1, o:78, a:1, s:1, b:0),
% 5.52/5.89 hd [106, 1] (w:1, o:79, a:1, s:1, b:0),
% 5.52/5.89 neq [107, 2] (w:1, o:120, a:1, s:1, b:0),
% 5.52/5.89 gt [108, 2] (w:1, o:121, a:1, s:1, b:0),
% 5.52/5.89 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 5.52/5.89 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 5.52/5.89 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.52/5.89 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 5.52/5.89 sk5 [117, 0] (w:1, o:11, a:1, s:1, b:0).
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Starting Search:
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 4113
% 5.52/5.89 Kept: 2062
% 5.52/5.89 Inuse: 204
% 5.52/5.89 Deleted: 2
% 5.52/5.89 Deletedinuse: 0
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 9000
% 5.52/5.89 Kept: 4675
% 5.52/5.89 Inuse: 289
% 5.52/5.89 Deleted: 2
% 5.52/5.89 Deletedinuse: 0
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 14920
% 5.52/5.89 Kept: 6930
% 5.52/5.89 Inuse: 369
% 5.52/5.89 Deleted: 2
% 5.52/5.89 Deletedinuse: 0
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 25091
% 5.52/5.89 Kept: 9096
% 5.52/5.89 Inuse: 404
% 5.52/5.89 Deleted: 2
% 5.52/5.89 Deletedinuse: 0
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 40764
% 5.52/5.89 Kept: 11332
% 5.52/5.89 Inuse: 459
% 5.52/5.89 Deleted: 4
% 5.52/5.89 Deletedinuse: 2
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 46862
% 5.52/5.89 Kept: 13383
% 5.52/5.89 Inuse: 498
% 5.52/5.89 Deleted: 6
% 5.52/5.89 Deletedinuse: 2
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 53419
% 5.52/5.89 Kept: 15394
% 5.52/5.89 Inuse: 522
% 5.52/5.89 Deleted: 6
% 5.52/5.89 Deletedinuse: 2
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 62645
% 5.52/5.89 Kept: 17407
% 5.52/5.89 Inuse: 556
% 5.52/5.89 Deleted: 7
% 5.52/5.89 Deletedinuse: 3
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 73489
% 5.52/5.89 Kept: 19442
% 5.52/5.89 Inuse: 583
% 5.52/5.89 Deleted: 9
% 5.52/5.89 Deletedinuse: 5
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying clauses:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 80022
% 5.52/5.89 Kept: 21453
% 5.52/5.89 Inuse: 611
% 5.52/5.89 Deleted: 1038
% 5.52/5.89 Deletedinuse: 14
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 93192
% 5.52/5.89 Kept: 23563
% 5.52/5.89 Inuse: 632
% 5.52/5.89 Deleted: 1038
% 5.52/5.89 Deletedinuse: 14
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 106094
% 5.52/5.89 Kept: 25735
% 5.52/5.89 Inuse: 657
% 5.52/5.89 Deleted: 1038
% 5.52/5.89 Deletedinuse: 14
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 123212
% 5.52/5.89 Kept: 27763
% 5.52/5.89 Inuse: 674
% 5.52/5.89 Deleted: 1038
% 5.52/5.89 Deletedinuse: 14
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 137882
% 5.52/5.89 Kept: 29785
% 5.52/5.89 Inuse: 702
% 5.52/5.89 Deleted: 1040
% 5.52/5.89 Deletedinuse: 14
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 149652
% 5.52/5.89 Kept: 31791
% 5.52/5.89 Inuse: 762
% 5.52/5.89 Deleted: 1075
% 5.52/5.89 Deletedinuse: 46
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 162110
% 5.52/5.89 Kept: 33797
% 5.52/5.89 Inuse: 802
% 5.52/5.89 Deleted: 1101
% 5.52/5.89 Deletedinuse: 46
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 183880
% 5.52/5.89 Kept: 35797
% 5.52/5.89 Inuse: 859
% 5.52/5.89 Deleted: 1101
% 5.52/5.89 Deletedinuse: 46
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Intermediate Status:
% 5.52/5.89 Generated: 196573
% 5.52/5.89 Kept: 37825
% 5.52/5.89 Inuse: 917
% 5.52/5.89 Deleted: 1114
% 5.52/5.89 Deletedinuse: 46
% 5.52/5.89
% 5.52/5.89 Resimplifying inuse:
% 5.52/5.89 Done
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 Bliksems!, er is een bewijs:
% 5.52/5.89 % SZS status Unsatisfiable
% 5.52/5.89 % SZS output start Refutation
% 5.52/5.89
% 5.52/5.89 clause( 7, [ ssList( nil ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 80, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 82, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ]
% 5.52/5.89 )
% 5.52/5.89 .
% 5.52/5.89 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 5.52/5.89 )
% 5.52/5.89 .
% 5.52/5.89 clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 5.52/5.89 ssList( X ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 5.52/5.89 ), =( nil, X ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 116, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 5.52/5.89 ), =( nil, Y ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 133, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ),
% 5.52/5.89 ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 5.52/5.89 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 182, [ ssList( sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 183, [ ssList( sk2 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 186, [ =( sk4, sk2 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 187, [ =( sk3, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 188, [ ssList( sk5 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 189, [ =( app( sk1, sk5 ), sk2 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 192, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 193, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 194, [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1
% 5.52/5.89 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 195, [ neq( sk2, nil ), ~( =( sk2, sk1 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 200, [ ~( ssList( X ) ), ssList( app( X, X ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 814, [ =( app( sk5, nil ), sk5 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 842, [ =( app( nil, sk1 ), sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 844, [ =( app( nil, sk5 ), sk5 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 1761, [ ~( frontsegP( nil, sk1 ) ), =( nil, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 11880, [ ~( =( nil, sk1 ) ), ~( ssList( sk2 ) ), =( sk2, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 12315, [ ~( frontsegP( sk1, X ) ), ~( ssList( X ) ), ~( ssList( sk1
% 5.52/5.89 ) ), frontsegP( sk2, X ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 12340, [ ~( =( nil, sk2 ) ), ~( ssList( sk1 ) ), =( nil, sk5 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 12343, [ ~( =( nil, sk2 ) ), ~( ssList( sk1 ) ), =( sk5, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 12369, [ ~( ssList( sk1 ) ), frontsegP( sk2, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 12370, [ frontsegP( sk2, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 20241, [ ~( =( nil, sk2 ) ), =( nil, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 20242, [ ~( =( nil, sk2 ) ), =( sk5, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 20243, [ ~( =( nil, sk1 ) ), =( sk2, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 20329, [ =( nil, sk2 ), ~( neq( sk1, nil ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 26604, [ ~( =( X, sk2 ) ), =( X, sk1 ), ~( ssList( Y ) ), ~( ssList(
% 5.52/5.89 X ) ), ~( =( app( Y, X ), Y ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 26609, [ ~( =( nil, sk2 ) ), =( app( sk1, sk1 ), sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 26611, [ ~( =( nil, sk2 ) ), =( sk2, sk1 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 26628, [ ~( =( X, sk2 ) ), =( X, sk1 ), ~( ssList( X ) ), neq( X,
% 5.52/5.89 nil ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 26774, [ =( sk2, sk1 ), neq( sk2, nil ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 26783, [ ~( =( X, sk2 ) ), =( X, sk1 ), ~( ssList( X ) ), ~( =( app(
% 5.52/5.89 X, X ), X ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 26785, [ =( sk2, sk1 ), ~( =( app( sk2, sk2 ), sk2 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 29706, [ neq( sk2, nil ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 29708, [ ~( =( nil, sk2 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 29752, [ ~( =( X, sk2 ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 5.52/5.89 =( app( Y, X ), Y ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 29781, [ ~( =( X, sk2 ) ), ~( ssList( X ) ), ~( =( app( X, X ), X )
% 5.52/5.89 ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 29783, [ ~( =( app( sk2, sk2 ), sk2 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 29878, [ ssList( app( sk1, sk1 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 30781, [ ~( frontsegP( nil, sk1 ) ), ~( =( sk2, sk1 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 31091, [ ~( =( nil, sk1 ) ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 31199, [ ~( =( X, sk1 ) ), ~( ssList( X ) ), neq( X, nil ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 31206, [ neq( sk1, nil ) ] )
% 5.52/5.89 .
% 5.52/5.89 clause( 38234, [] )
% 5.52/5.89 .
% 5.52/5.89
% 5.52/5.89
% 5.52/5.89 % SZS output end Refutation
% 5.52/5.89 found a proof!
% 5.52/5.89
% 5.52/5.89 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.52/5.89
% 5.52/5.89 initialclauses(
% 5.52/5.89 [ clause( 38236, [ equalelemsP( nil ) ] )
% 5.52/5.89 , clause( 38237, [ duplicatefreeP( nil ) ] )
% 5.52/5.89 , clause( 38238, [ strictorderedP( nil ) ] )
% 5.52/5.89 , clause( 38239, [ totalorderedP( nil ) ] )
% 5.52/5.89 , clause( 38240, [ strictorderP( nil ) ] )
% 5.52/5.90 , clause( 38241, [ totalorderP( nil ) ] )
% 5.52/5.90 , clause( 38242, [ cyclefreeP( nil ) ] )
% 5.52/5.90 , clause( 38243, [ ssList( nil ) ] )
% 5.52/5.90 , clause( 38244, [ ssItem( skac3 ) ] )
% 5.52/5.90 , clause( 38245, [ ssItem( skac2 ) ] )
% 5.52/5.90 , clause( 38246, [ ~( singletonP( nil ) ) ] )
% 5.52/5.90 , clause( 38247, [ ssItem( skaf83( X ) ) ] )
% 5.52/5.90 , clause( 38248, [ ssList( skaf82( X ) ) ] )
% 5.52/5.90 , clause( 38249, [ ssList( skaf81( X ) ) ] )
% 5.52/5.90 , clause( 38250, [ ssList( skaf80( X ) ) ] )
% 5.52/5.90 , clause( 38251, [ ssItem( skaf79( X ) ) ] )
% 5.52/5.90 , clause( 38252, [ ssItem( skaf78( X ) ) ] )
% 5.52/5.90 , clause( 38253, [ ssList( skaf77( X ) ) ] )
% 5.52/5.90 , clause( 38254, [ ssList( skaf76( X ) ) ] )
% 5.52/5.90 , clause( 38255, [ ssList( skaf75( X ) ) ] )
% 5.52/5.90 , clause( 38256, [ ssItem( skaf74( X ) ) ] )
% 5.52/5.90 , clause( 38257, [ ssList( skaf73( X ) ) ] )
% 5.52/5.90 , clause( 38258, [ ssList( skaf72( X ) ) ] )
% 5.52/5.90 , clause( 38259, [ ssList( skaf71( X ) ) ] )
% 5.52/5.90 , clause( 38260, [ ssItem( skaf70( X ) ) ] )
% 5.52/5.90 , clause( 38261, [ ssItem( skaf69( X ) ) ] )
% 5.52/5.90 , clause( 38262, [ ssList( skaf68( X ) ) ] )
% 5.52/5.90 , clause( 38263, [ ssList( skaf67( X ) ) ] )
% 5.52/5.90 , clause( 38264, [ ssList( skaf66( X ) ) ] )
% 5.52/5.90 , clause( 38265, [ ssItem( skaf65( X ) ) ] )
% 5.52/5.90 , clause( 38266, [ ssItem( skaf64( X ) ) ] )
% 5.52/5.90 , clause( 38267, [ ssList( skaf63( X ) ) ] )
% 5.52/5.90 , clause( 38268, [ ssList( skaf62( X ) ) ] )
% 5.52/5.90 , clause( 38269, [ ssList( skaf61( X ) ) ] )
% 5.52/5.90 , clause( 38270, [ ssItem( skaf60( X ) ) ] )
% 5.52/5.90 , clause( 38271, [ ssItem( skaf59( X ) ) ] )
% 5.52/5.90 , clause( 38272, [ ssList( skaf58( X ) ) ] )
% 5.52/5.90 , clause( 38273, [ ssList( skaf57( X ) ) ] )
% 5.52/5.90 , clause( 38274, [ ssList( skaf56( X ) ) ] )
% 5.52/5.90 , clause( 38275, [ ssItem( skaf55( X ) ) ] )
% 5.52/5.90 , clause( 38276, [ ssItem( skaf54( X ) ) ] )
% 5.52/5.90 , clause( 38277, [ ssList( skaf53( X ) ) ] )
% 5.52/5.90 , clause( 38278, [ ssList( skaf52( X ) ) ] )
% 5.52/5.90 , clause( 38279, [ ssList( skaf51( X ) ) ] )
% 5.52/5.90 , clause( 38280, [ ssItem( skaf50( X ) ) ] )
% 5.52/5.90 , clause( 38281, [ ssItem( skaf49( X ) ) ] )
% 5.52/5.90 , clause( 38282, [ ssItem( skaf44( X ) ) ] )
% 5.52/5.90 , clause( 38283, [ ssList( skaf48( X, Y ) ) ] )
% 5.52/5.90 , clause( 38284, [ ssList( skaf47( X, Y ) ) ] )
% 5.52/5.90 , clause( 38285, [ ssList( skaf46( X, Y ) ) ] )
% 5.52/5.90 , clause( 38286, [ ssList( skaf45( X, Y ) ) ] )
% 5.52/5.90 , clause( 38287, [ ssList( skaf43( X, Y ) ) ] )
% 5.52/5.90 , clause( 38288, [ ssList( skaf42( X, Y ) ) ] )
% 5.52/5.90 , clause( 38289, [ ~( =( skac3, skac2 ) ) ] )
% 5.52/5.90 , clause( 38290, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 5.52/5.90 , clause( 38291, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 5.52/5.90 , clause( 38292, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 5.52/5.90 , clause( 38293, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 5.52/5.90 , clause( 38294, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 5.52/5.90 , clause( 38295, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 5.52/5.90 , clause( 38296, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 5.52/5.90 , clause( 38297, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 5.52/5.90 , clause( 38298, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 5.52/5.90 , clause( 38299, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 5.52/5.90 , clause( 38300, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 5.52/5.90 , clause( 38301, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 5.52/5.90 , clause( 38302, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 5.52/5.90 , clause( 38303, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 5.52/5.90 , clause( 38304, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 5.52/5.90 , clause( 38305, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 5.52/5.90 , clause( 38306, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 5.52/5.90 , clause( 38307, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 5.52/5.90 , clause( 38308, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 5.52/5.90 , clause( 38309, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 5.52/5.90 , clause( 38310, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 5.52/5.90 , clause( 38311, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 5.52/5.90 , clause( 38312, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 5.52/5.90 , clause( 38313, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 5.52/5.90 , clause( 38314, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38315, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38316, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38317, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38318, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 5.52/5.90 ] )
% 5.52/5.90 , clause( 38319, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 5.52/5.90 ] )
% 5.52/5.90 , clause( 38320, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 5.52/5.90 ) ] )
% 5.52/5.90 , clause( 38321, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 5.52/5.90 ) ] )
% 5.52/5.90 , clause( 38322, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 5.52/5.90 skaf49( X ) ) ] )
% 5.52/5.90 , clause( 38323, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 5.52/5.90 skaf50( X ) ) ] )
% 5.52/5.90 , clause( 38324, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 5.52/5.90 equalelemsP( X ) ] )
% 5.52/5.90 , clause( 38325, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 5.52/5.90 strictorderedP( X ) ] )
% 5.52/5.90 , clause( 38326, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 5.52/5.90 totalorderedP( X ) ] )
% 5.52/5.90 , clause( 38327, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 5.52/5.90 strictorderP( X ) ] )
% 5.52/5.90 , clause( 38328, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 5.52/5.90 strictorderP( X ) ] )
% 5.52/5.90 , clause( 38329, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 5.52/5.90 totalorderP( X ) ] )
% 5.52/5.90 , clause( 38330, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 5.52/5.90 totalorderP( X ) ] )
% 5.52/5.90 , clause( 38331, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 5.52/5.90 ), Y ) ] )
% 5.52/5.90 , clause( 38332, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 5.52/5.90 ), X ) ] )
% 5.52/5.90 , clause( 38333, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 5.52/5.90 Y ) ) ] )
% 5.52/5.90 , clause( 38334, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 5.52/5.90 Y ) ) ] )
% 5.52/5.90 , clause( 38335, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 5.52/5.90 ) ] )
% 5.52/5.90 , clause( 38336, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 5.52/5.90 X ), nil ), X ) ] )
% 5.52/5.90 , clause( 38337, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 5.52/5.90 ) ] )
% 5.52/5.90 , clause( 38338, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 5.52/5.90 X, Y ) ] )
% 5.52/5.90 , clause( 38339, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 5.52/5.90 nil, X ) ] )
% 5.52/5.90 , clause( 38340, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 5.52/5.90 Y, X ) ] )
% 5.52/5.90 , clause( 38341, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 5.52/5.90 Y, X ) ] )
% 5.52/5.90 , clause( 38342, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 5.52/5.90 leq( Y, X ) ] )
% 5.52/5.90 , clause( 38343, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 5.52/5.90 geq( Y, X ) ] )
% 5.52/5.90 , clause( 38344, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 5.52/5.90 ), =( nil, X ) ] )
% 5.52/5.90 , clause( 38345, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 5.52/5.90 ssItem( Y ) ) ] )
% 5.52/5.90 , clause( 38346, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 5.52/5.90 ssItem( X ) ) ] )
% 5.52/5.90 , clause( 38347, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 5.52/5.90 strictorderedP( cons( Y, X ) ) ] )
% 5.52/5.90 , clause( 38348, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 5.52/5.90 totalorderedP( cons( Y, X ) ) ] )
% 5.52/5.90 , clause( 38349, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 5.52/5.90 ssItem( Y ) ) ] )
% 5.52/5.90 , clause( 38350, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 5.52/5.90 ssList( X ) ) ] )
% 5.52/5.90 , clause( 38351, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 5.52/5.90 Y ) ), singletonP( Y ) ] )
% 5.52/5.90 , clause( 38352, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 5.52/5.90 ssItem( X ) ) ] )
% 5.52/5.90 , clause( 38353, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 5.52/5.90 X ) ), =( nil, X ) ] )
% 5.52/5.90 , clause( 38354, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 5.52/5.90 X ) ), =( nil, Y ) ] )
% 5.52/5.90 , clause( 38355, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 5.52/5.90 ), Y ), cons( X, Y ) ) ] )
% 5.52/5.90 , clause( 38356, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 5.52/5.90 X, Y ), =( X, Y ) ] )
% 5.52/5.90 , clause( 38357, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 5.52/5.90 X, Y ), =( X, Y ) ] )
% 5.52/5.90 , clause( 38358, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 5.52/5.90 app( Y, X ) ), hd( Y ) ) ] )
% 5.52/5.90 , clause( 38359, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 5.52/5.90 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 5.52/5.90 , clause( 38360, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 5.52/5.90 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 5.52/5.90 , clause( 38361, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 5.52/5.90 ~( ssItem( Y ) ), =( Y, X ) ] )
% 5.52/5.90 , clause( 38362, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 5.52/5.90 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 5.52/5.90 , clause( 38363, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 5.52/5.90 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 5.52/5.90 , clause( 38364, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 5.52/5.90 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 5.52/5.90 , clause( 38365, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 5.52/5.90 ~( ssItem( Y ) ), =( Y, X ) ] )
% 5.52/5.90 , clause( 38366, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 5.52/5.90 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 5.52/5.90 , clause( 38367, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 5.52/5.90 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 5.52/5.90 , clause( 38368, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 5.52/5.90 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 5.52/5.90 , clause( 38369, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 5.52/5.90 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 5.52/5.90 , clause( 38370, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 5.52/5.90 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 5.52/5.90 , clause( 38371, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 5.52/5.90 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 5.52/5.90 , clause( 38372, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 5.52/5.90 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 5.52/5.90 , clause( 38373, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 5.52/5.90 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 5.52/5.90 , clause( 38374, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 5.52/5.90 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 5.52/5.90 , clause( 38375, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 5.52/5.90 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 5.52/5.90 , clause( 38376, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 5.52/5.90 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 5.52/5.90 , clause( 38377, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 5.52/5.90 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 5.52/5.90 , clause( 38378, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 5.52/5.90 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 5.52/5.90 , clause( 38379, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 5.52/5.90 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 5.52/5.90 , clause( 38380, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 5.52/5.90 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 5.52/5.90 , clause( 38381, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 5.52/5.90 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 5.52/5.90 , clause( 38382, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 5.52/5.90 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 5.52/5.90 , clause( 38383, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 5.52/5.90 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 5.52/5.90 , clause( 38384, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 5.52/5.90 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 5.52/5.90 , clause( 38385, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 5.52/5.90 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 5.52/5.90 , clause( 38386, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 5.52/5.90 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 5.52/5.90 , clause( 38387, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 5.52/5.90 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 5.52/5.90 , clause( 38388, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 5.52/5.90 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 5.52/5.90 , clause( 38389, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 5.52/5.90 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 5.52/5.90 , clause( 38390, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 5.52/5.90 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 5.52/5.90 , clause( 38391, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 5.52/5.90 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 5.52/5.90 , clause( 38392, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 5.52/5.90 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 5.52/5.90 , clause( 38393, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 5.52/5.90 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 5.52/5.90 , clause( 38394, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 5.52/5.90 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 5.52/5.90 ) ] )
% 5.52/5.90 , clause( 38395, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 5.52/5.90 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 5.52/5.90 Y ) ] )
% 5.52/5.90 , clause( 38396, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 5.52/5.90 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 5.52/5.90 , clause( 38397, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 5.52/5.90 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 5.52/5.90 skaf77( X ) ) ), X ) ] )
% 5.52/5.90 , clause( 38398, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 5.52/5.90 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 5.52/5.90 skaf73( X ) ) ), X ) ] )
% 5.52/5.90 , clause( 38399, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 5.52/5.90 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 5.52/5.90 skaf68( X ) ) ), X ) ] )
% 5.52/5.90 , clause( 38400, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 5.52/5.90 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 5.52/5.90 ), X ) ] )
% 5.52/5.90 , clause( 38401, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 5.52/5.90 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 5.52/5.90 ), X ) ] )
% 5.52/5.90 , clause( 38402, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 5.52/5.90 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 5.52/5.90 ), X ) ] )
% 5.52/5.90 , clause( 38403, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 5.52/5.90 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 5.52/5.90 , clause( 38404, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 5.52/5.90 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 5.52/5.90 , clause( 38405, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 5.52/5.90 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 5.52/5.90 , clause( 38406, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 5.52/5.90 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 5.52/5.90 , clause( 38407, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 5.52/5.90 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 5.52/5.90 Y ) ] )
% 5.52/5.90 , clause( 38408, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 5.52/5.90 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38409, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 5.52/5.90 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 5.52/5.90 , T ) ] )
% 5.52/5.90 , clause( 38410, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 5.52/5.90 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38411, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 5.52/5.90 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38412, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 5.52/5.90 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38413, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 5.52/5.90 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 5.52/5.90 Z, X ), cons( T, Y ) ) ] )
% 5.52/5.90 , clause( 38414, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 5.52/5.90 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 5.52/5.90 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 5.52/5.90 , clause( 38415, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 5.52/5.90 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 5.52/5.90 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 5.52/5.90 , clause( 38416, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 5.52/5.90 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 5.52/5.90 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 5.52/5.90 ) ] )
% 5.52/5.90 , clause( 38417, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 5.52/5.90 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 5.52/5.90 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 5.52/5.90 ) ] )
% 5.52/5.90 , clause( 38418, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 5.52/5.90 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 5.52/5.90 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 5.52/5.90 , lt( T, Y ) ] )
% 5.52/5.90 , clause( 38419, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 5.52/5.90 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 5.52/5.90 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 5.52/5.90 , leq( T, Y ) ] )
% 5.52/5.90 , clause( 38420, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 5.52/5.90 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 5.52/5.90 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 5.52/5.90 ) ), ~( ssList( W ) ) ] )
% 5.52/5.90 , clause( 38421, [ ssList( sk1 ) ] )
% 5.52/5.90 , clause( 38422, [ ssList( sk2 ) ] )
% 5.52/5.90 , clause( 38423, [ ssList( sk3 ) ] )
% 5.52/5.90 , clause( 38424, [ ssList( sk4 ) ] )
% 5.52/5.90 , clause( 38425, [ =( sk2, sk4 ) ] )
% 5.52/5.90 , clause( 38426, [ =( sk1, sk3 ) ] )
% 5.52/5.90 , clause( 38427, [ ssList( sk5 ) ] )
% 5.52/5.90 , clause( 38428, [ =( app( sk3, sk5 ), sk4 ) ] )
% 5.52/5.90 , clause( 38429, [ strictorderedP( sk3 ) ] )
% 5.52/5.90 , clause( 38430, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X,
% 5.52/5.90 nil ), Y ), sk5 ) ), ~( ssItem( Z ) ), ~( ssList( T ) ), ~( =( app( T,
% 5.52/5.90 cons( Z, nil ) ), sk3 ) ), ~( lt( Z, X ) ) ] )
% 5.52/5.90 , clause( 38431, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 5.52/5.90 , clause( 38432, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 5.52/5.90 , clause( 38433, [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( frontsegP( sk2,
% 5.52/5.90 sk1 ) ) ] )
% 5.52/5.90 , clause( 38434, [ ~( =( nil, sk1 ) ), neq( sk2, nil ) ] )
% 5.52/5.90 , clause( 38435, [ ~( =( nil, sk1 ) ), ~( neq( sk1, nil ) ), ~( frontsegP(
% 5.52/5.90 sk2, sk1 ) ) ] )
% 5.52/5.90 ] ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 7, [ ssList( nil ) ] )
% 5.52/5.90 , clause( 38243, [ ssList( nil ) ] )
% 5.52/5.90 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 60, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 5.52/5.90 , clause( 38296, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.52/5.90 1 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 5.52/5.90 , clause( 38308, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.52/5.90 1 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 73, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 5.52/5.90 , clause( 38309, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.52/5.90 1 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 80, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ] )
% 5.52/5.90 , clause( 38318, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 5.52/5.90 ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.52/5.90 1 ), ==>( 2, 2 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 81, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ] )
% 5.52/5.90 , clause( 38319, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 5.52/5.90 ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.52/5.90 1 ), ==>( 2, 2 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 82, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38320, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 5.52/5.90 ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.52/5.90 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 5.52/5.90 )
% 5.52/5.90 , clause( 38335, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 5.52/5.90 ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.52/5.90 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 5.52/5.90 ssList( X ) ) ] )
% 5.52/5.90 , clause( 38350, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 5.52/5.90 ssList( X ) ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.52/5.90 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 115, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 5.52/5.90 ), =( nil, X ) ] )
% 5.52/5.90 , clause( 38353, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 5.52/5.90 X ) ), =( nil, X ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.52/5.90 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 116, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X )
% 5.52/5.90 ), =( nil, Y ) ] )
% 5.52/5.90 , clause( 38354, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 5.52/5.90 X ) ), =( nil, Y ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.52/5.90 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 5.52/5.90
% 5.52/5.90
% 5.52/5.90 subsumption(
% 5.52/5.90 clause( 133, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ),
% 5.52/5.90 ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 5.52/5.90 , clause( 38372, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 5.52/5.90 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 5.52/5.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.52/5.90 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 6.74/7.13 ==>( 4, 4 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 6.74/7.13 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 6.74/7.13 , clause( 38385, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 6.74/7.13 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 6.74/7.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.74/7.13 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 6.74/7.13 ==>( 4, 4 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 182, [ ssList( sk1 ) ] )
% 6.74/7.13 , clause( 38421, [ ssList( sk1 ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 183, [ ssList( sk2 ) ] )
% 6.74/7.13 , clause( 38422, [ ssList( sk2 ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 eqswap(
% 6.74/7.13 clause( 41224, [ =( sk4, sk2 ) ] )
% 6.74/7.13 , clause( 38425, [ =( sk2, sk4 ) ] )
% 6.74/7.13 , 0, substitution( 0, [] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 186, [ =( sk4, sk2 ) ] )
% 6.74/7.13 , clause( 41224, [ =( sk4, sk2 ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 eqswap(
% 6.74/7.13 clause( 41983, [ =( sk3, sk1 ) ] )
% 6.74/7.13 , clause( 38426, [ =( sk1, sk3 ) ] )
% 6.74/7.13 , 0, substitution( 0, [] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 187, [ =( sk3, sk1 ) ] )
% 6.74/7.13 , clause( 41983, [ =( sk3, sk1 ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 188, [ ssList( sk5 ) ] )
% 6.74/7.13 , clause( 38427, [ ssList( sk5 ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 paramod(
% 6.74/7.13 clause( 43898, [ =( app( sk1, sk5 ), sk4 ) ] )
% 6.74/7.13 , clause( 187, [ =( sk3, sk1 ) ] )
% 6.74/7.13 , 0, clause( 38428, [ =( app( sk3, sk5 ), sk4 ) ] )
% 6.74/7.13 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 paramod(
% 6.74/7.13 clause( 43899, [ =( app( sk1, sk5 ), sk2 ) ] )
% 6.74/7.13 , clause( 186, [ =( sk4, sk2 ) ] )
% 6.74/7.13 , 0, clause( 43898, [ =( app( sk1, sk5 ), sk4 ) ] )
% 6.74/7.13 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 189, [ =( app( sk1, sk5 ), sk2 ) ] )
% 6.74/7.13 , clause( 43899, [ =( app( sk1, sk5 ), sk2 ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 paramod(
% 6.74/7.13 clause( 45086, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 6.74/7.13 , clause( 186, [ =( sk4, sk2 ) ] )
% 6.74/7.13 , 0, clause( 38431, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 6.74/7.13 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 paramod(
% 6.74/7.13 clause( 45087, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 6.74/7.13 , clause( 187, [ =( sk3, sk1 ) ] )
% 6.74/7.13 , 0, clause( 45086, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 6.74/7.13 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 192, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 6.74/7.13 , clause( 45087, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 6.74/7.13 ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 193, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 6.74/7.13 , clause( 38432, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.74/7.13 ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 194, [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( frontsegP( sk2, sk1
% 6.74/7.13 ) ) ] )
% 6.74/7.13 , clause( 38433, [ =( nil, sk2 ), ~( neq( sk1, nil ) ), ~( frontsegP( sk2,
% 6.74/7.13 sk1 ) ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 6.74/7.13 , 2 )] ) ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 paramod(
% 6.74/7.13 clause( 68542, [ ~( =( sk2, sk1 ) ), neq( sk2, nil ), neq( sk2, nil ) ] )
% 6.74/7.13 , clause( 193, [ =( nil, sk2 ), neq( sk2, nil ) ] )
% 6.74/7.13 , 0, clause( 38434, [ ~( =( nil, sk1 ) ), neq( sk2, nil ) ] )
% 6.74/7.13 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 factor(
% 6.74/7.13 clause( 68569, [ ~( =( sk2, sk1 ) ), neq( sk2, nil ) ] )
% 6.74/7.13 , clause( 68542, [ ~( =( sk2, sk1 ) ), neq( sk2, nil ), neq( sk2, nil ) ]
% 6.74/7.13 )
% 6.74/7.13 , 1, 2, substitution( 0, [] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 195, [ neq( sk2, nil ), ~( =( sk2, sk1 ) ) ] )
% 6.74/7.13 , clause( 68569, [ ~( =( sk2, sk1 ) ), neq( sk2, nil ) ] )
% 6.74/7.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 6.74/7.13 ).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 factor(
% 6.74/7.13 clause( 68570, [ ~( ssList( X ) ), ssList( app( X, X ) ) ] )
% 6.74/7.13 , clause( 82, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ]
% 6.74/7.13 )
% 6.74/7.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 6.74/7.13
% 6.74/7.13
% 6.74/7.13 subsumption(
% 6.74/7.13 clause( 200, [ ~( ssList( X ) ), ssList( app( X, X ) ) ] )
% 6.74/7.13 , clause( 68570, [ ~( ssList( X ) ), ssList( app( X, X ) ) ] )
% 6.74/7.13 , substitution( Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------