TSTP Solution File: SWC352-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC352-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 19:36:08 EDT 2022
% Result : Unsatisfiable 2.23s 2.63s
% Output : Refutation 2.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC352-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.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 19:06:07 EDT 2022
% 0.12/0.33 % 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(
% 0.77/1.29 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.77/1.29 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.77/1.29 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.77/1.29 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.77/1.29 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.77/1.29 ,
% 0.77/1.29 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.77/1.29 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.77/1.29 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.77/1.29 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.77/1.29 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.77/1.29 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.77/1.29 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.77/1.29 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.77/1.29 T, Y ) ) ],
% 0.77/1.29 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.77/1.29 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.77/1.29 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.77/1.29 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.77/1.29 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.77/1.29 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.77/1.29 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.77/1.29 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.77/1.29 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.77/1.29 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.77/1.29 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.77/1.29 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.77/1.29 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.77/1.29 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.77/1.29 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.77/1.29 ,
% 0.77/1.29 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.77/1.29 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.77/1.29 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.77/1.29 ,
% 0.77/1.29 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.77/1.29 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.77/1.29 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.77/1.29 W ) ) ],
% 0.77/1.29 [ ssList( sk1 ) ],
% 0.77/1.29 [ ssList( sk2 ) ],
% 0.77/1.29 [ ssList( sk3 ) ],
% 0.77/1.29 [ ssList( sk4 ) ],
% 0.77/1.29 [ =( sk2, sk4 ) ],
% 0.77/1.29 [ =( sk1, sk3 ) ],
% 0.77/1.29 [ ~( frontsegP( sk2, sk1 ) ) ],
% 0.77/1.29 [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ],
% 0.77/1.29 [ ~( neq( sk4, nil ) ), neq( sk3, nil ) ],
% 0.77/1.29 [ ~( neq( sk4, nil ) ), frontsegP( sk4, sk3 ) ]
% 0.77/1.29 ] .
% 0.77/1.29
% 0.77/1.29
% 0.77/1.29 percentage equality = 0.163366, percentage horn = 0.843750
% 0.77/1.29 This is a problem with some equality
% 0.77/1.29
% 0.77/1.29
% 0.77/1.29
% 0.77/1.29 Options Used:
% 0.77/1.29
% 0.77/1.29 useres = 1
% 0.77/1.29 useparamod = 1
% 0.77/1.29 useeqrefl = 1
% 0.77/1.29 useeqfact = 1
% 0.77/1.29 usefactor = 1
% 0.77/1.29 usesimpsplitting = 0
% 0.77/1.29 usesimpdemod = 5
% 0.77/1.29 usesimpres = 3
% 0.77/1.29
% 0.77/1.29 resimpinuse = 1000
% 0.77/1.29 resimpclauses = 20000
% 0.77/1.29 substype = eqrewr
% 0.77/1.29 backwardsubs = 1
% 0.77/1.29 selectoldest = 5
% 0.77/1.29
% 0.77/1.29 litorderings [0] = split
% 0.77/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.29
% 0.77/1.29 termordering = kbo
% 0.77/1.29
% 0.77/1.29 litapriori = 0
% 0.77/1.29 termapriori = 1
% 0.77/1.29 litaposteriori = 0
% 0.77/1.29 termaposteriori = 0
% 0.77/1.29 demodaposteriori = 0
% 0.77/1.29 ordereqreflfact = 0
% 0.77/1.29
% 0.77/1.29 litselect = negord
% 0.77/1.29
% 0.77/1.29 maxweight = 15
% 0.77/1.29 maxdepth = 30000
% 0.77/1.29 maxlength = 115
% 0.77/1.29 maxnrvars = 195
% 0.77/1.29 excuselevel = 1
% 0.77/1.29 increasemaxweight = 1
% 0.77/1.29
% 0.77/1.29 maxselected = 10000000
% 0.77/1.29 maxnrclauses = 10000000
% 0.77/1.29
% 0.77/1.29 showgenerated = 0
% 0.77/1.29 showkept = 0
% 0.77/1.29 showselected = 0
% 0.77/1.29 showdeleted = 0
% 0.77/1.29 showresimp = 1
% 0.77/1.29 showstatus = 2000
% 0.77/1.29
% 0.77/1.29 prologoutput = 1
% 0.77/1.29 nrgoals = 5000000
% 0.77/1.29 totalproof = 1
% 0.77/1.29
% 0.77/1.29 Symbols occurring in the translation:
% 0.77/1.29
% 0.77/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.29 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.77/1.29 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 2.23/2.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.23/2.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.23/2.63 nil [39, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.23/2.63 equalelemsP [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 2.23/2.63 duplicatefreeP [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 2.23/2.63 strictorderedP [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 2.23/2.63 totalorderedP [43, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.23/2.63 strictorderP [44, 1] (w:1, o:33, a:1, s:1, b:0),
% 2.23/2.63 totalorderP [45, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.23/2.63 cyclefreeP [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 2.23/2.63 ssList [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 2.23/2.63 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.23/2.63 ssItem [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 2.23/2.63 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.23/2.63 singletonP [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 2.23/2.63 skaf83 [53, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.23/2.63 skaf82 [54, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.23/2.63 skaf81 [55, 1] (w:1, o:68, a:1, s:1, b:0),
% 2.23/2.63 skaf80 [56, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.23/2.63 skaf79 [57, 1] (w:1, o:66, a:1, s:1, b:0),
% 2.23/2.63 skaf78 [58, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.23/2.63 skaf77 [59, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.23/2.63 skaf76 [60, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.23/2.63 skaf75 [61, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.23/2.63 skaf74 [62, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.23/2.63 skaf73 [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.23/2.63 skaf72 [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.23/2.63 skaf71 [65, 1] (w:1, o:58, a:1, s:1, b:0),
% 2.23/2.63 skaf70 [66, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.23/2.63 skaf69 [67, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.23/2.63 skaf68 [68, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.23/2.63 skaf67 [69, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.23/2.63 skaf66 [70, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.23/2.63 skaf65 [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 2.23/2.63 skaf64 [72, 1] (w:1, o:51, a:1, s:1, b:0),
% 2.23/2.63 skaf63 [73, 1] (w:1, o:50, a:1, s:1, b:0),
% 2.23/2.63 skaf62 [74, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.23/2.63 skaf61 [75, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.23/2.63 skaf60 [76, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.23/2.63 skaf59 [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.23/2.63 skaf58 [78, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.23/2.63 skaf57 [79, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.23/2.63 skaf56 [80, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.23/2.63 skaf55 [81, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.23/2.63 skaf54 [82, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.23/2.63 skaf53 [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.23/2.63 skaf52 [84, 1] (w:1, o:39, a:1, s:1, b:0),
% 2.23/2.63 skaf51 [85, 1] (w:1, o:38, a:1, s:1, b:0),
% 2.23/2.63 skaf50 [86, 1] (w:1, o:37, a:1, s:1, b:0),
% 2.23/2.63 skaf49 [87, 1] (w:1, o:35, a:1, s:1, b:0),
% 2.23/2.63 skaf44 [88, 1] (w:1, o:36, a:1, s:1, b:0),
% 2.23/2.63 skaf48 [90, 2] (w:1, o:104, a:1, s:1, b:0),
% 2.23/2.63 skaf47 [91, 2] (w:1, o:103, a:1, s:1, b:0),
% 2.23/2.63 skaf46 [92, 2] (w:1, o:102, a:1, s:1, b:0),
% 2.23/2.63 skaf45 [93, 2] (w:1, o:101, a:1, s:1, b:0),
% 2.23/2.63 skaf43 [94, 2] (w:1, o:106, a:1, s:1, b:0),
% 2.23/2.63 skaf42 [95, 2] (w:1, o:105, a:1, s:1, b:0),
% 2.23/2.63 geq [96, 2] (w:1, o:108, a:1, s:1, b:0),
% 2.23/2.63 segmentP [97, 2] (w:1, o:109, a:1, s:1, b:0),
% 2.23/2.63 rearsegP [98, 2] (w:1, o:100, a:1, s:1, b:0),
% 2.23/2.63 frontsegP [99, 2] (w:1, o:107, a:1, s:1, b:0),
% 2.23/2.63 leq [100, 2] (w:1, o:110, a:1, s:1, b:0),
% 2.23/2.63 lt [101, 2] (w:1, o:111, a:1, s:1, b:0),
% 2.23/2.63 cons [102, 2] (w:1, o:112, a:1, s:1, b:0),
% 2.23/2.63 memberP [103, 2] (w:1, o:113, a:1, s:1, b:0),
% 2.23/2.63 app [104, 2] (w:1, o:114, a:1, s:1, b:0),
% 2.23/2.63 tl [105, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.23/2.63 hd [106, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.23/2.63 neq [107, 2] (w:1, o:115, a:1, s:1, b:0),
% 2.23/2.63 gt [108, 2] (w:1, o:116, a:1, s:1, b:0),
% 2.23/2.63 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.23/2.63 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 2.23/2.63 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.23/2.63 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0).
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Starting Search:
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Intermediate Status:
% 2.23/2.63 Generated: 4150
% 2.23/2.63 Kept: 2091
% 2.23/2.63 Inuse: 204
% 2.23/2.63 Deleted: 2
% 2.23/2.63 Deletedinuse: 0
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Intermediate Status:
% 2.23/2.63 Generated: 8943
% 2.23/2.63 Kept: 4671
% 2.23/2.63 Inuse: 287
% 2.23/2.63 Deleted: 4
% 2.23/2.63 Deletedinuse: 0
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Intermediate Status:
% 2.23/2.63 Generated: 16682
% 2.23/2.63 Kept: 6733
% 2.23/2.63 Inuse: 405
% 2.23/2.63 Deleted: 178
% 2.23/2.63 Deletedinuse: 162
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Intermediate Status:
% 2.23/2.63 Generated: 23337
% 2.23/2.63 Kept: 8734
% 2.23/2.63 Inuse: 480
% 2.23/2.63 Deleted: 181
% 2.23/2.63 Deletedinuse: 162
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Intermediate Status:
% 2.23/2.63 Generated: 33293
% 2.23/2.63 Kept: 10743
% 2.23/2.63 Inuse: 546
% 2.23/2.63 Deleted: 182
% 2.23/2.63 Deletedinuse: 162
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Intermediate Status:
% 2.23/2.63 Generated: 47192
% 2.23/2.63 Kept: 12828
% 2.23/2.63 Inuse: 609
% 2.23/2.63 Deleted: 184
% 2.23/2.63 Deletedinuse: 162
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Intermediate Status:
% 2.23/2.63 Generated: 56824
% 2.23/2.63 Kept: 14854
% 2.23/2.63 Inuse: 628
% 2.23/2.63 Deleted: 192
% 2.23/2.63 Deletedinuse: 164
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Intermediate Status:
% 2.23/2.63 Generated: 74637
% 2.23/2.63 Kept: 17046
% 2.23/2.63 Inuse: 652
% 2.23/2.63 Deleted: 199
% 2.23/2.63 Deletedinuse: 165
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63 Resimplifying inuse:
% 2.23/2.63 Done
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 Bliksems!, er is een bewijs:
% 2.23/2.63 % SZS status Unsatisfiable
% 2.23/2.63 % SZS output start Refutation
% 2.23/2.63
% 2.23/2.63 clause( 7, [ ssList( nil ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 48, [ ssList( skaf47( X, Y ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 2.23/2.63 )
% 2.23/2.63 .
% 2.23/2.63 clause( 140, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 2.23/2.63 , ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 2.23/2.63 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 182, [ ssList( sk1 ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 183, [ ssList( sk2 ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 186, [ =( sk4, sk2 ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 187, [ =( sk3, sk1 ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 188, [ ~( frontsegP( sk2, sk1 ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 191, [ ~( neq( sk2, nil ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 3143, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 3763, [ =( nil, sk2 ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 3838, [ ~( ssList( X ) ), =( app( X, sk2 ), X ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 8616, [ ~( =( app( sk1, X ), sk2 ) ), ~( ssList( X ) ), ~( ssList(
% 2.23/2.63 sk2 ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 8643, [ ~( =( app( sk1, sk2 ), sk2 ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 12217, [ ~( =( app( Y, sk1 ), app( Y, X ) ) ), ~( ssList( Y ) ),
% 2.23/2.63 ~( ssList( X ) ), ~( =( X, sk2 ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 12257, [ ~( ssList( X ) ), ~( =( sk2, sk1 ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 12532, [ ~( =( sk2, sk1 ) ) ] )
% 2.23/2.63 .
% 2.23/2.63 clause( 18069, [] )
% 2.23/2.63 .
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 % SZS output end Refutation
% 2.23/2.63 found a proof!
% 2.23/2.63
% 2.23/2.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.23/2.63
% 2.23/2.63 initialclauses(
% 2.23/2.63 [ clause( 18071, [ equalelemsP( nil ) ] )
% 2.23/2.63 , clause( 18072, [ duplicatefreeP( nil ) ] )
% 2.23/2.63 , clause( 18073, [ strictorderedP( nil ) ] )
% 2.23/2.63 , clause( 18074, [ totalorderedP( nil ) ] )
% 2.23/2.63 , clause( 18075, [ strictorderP( nil ) ] )
% 2.23/2.63 , clause( 18076, [ totalorderP( nil ) ] )
% 2.23/2.63 , clause( 18077, [ cyclefreeP( nil ) ] )
% 2.23/2.63 , clause( 18078, [ ssList( nil ) ] )
% 2.23/2.63 , clause( 18079, [ ssItem( skac3 ) ] )
% 2.23/2.63 , clause( 18080, [ ssItem( skac2 ) ] )
% 2.23/2.63 , clause( 18081, [ ~( singletonP( nil ) ) ] )
% 2.23/2.63 , clause( 18082, [ ssItem( skaf83( X ) ) ] )
% 2.23/2.63 , clause( 18083, [ ssList( skaf82( X ) ) ] )
% 2.23/2.63 , clause( 18084, [ ssList( skaf81( X ) ) ] )
% 2.23/2.63 , clause( 18085, [ ssList( skaf80( X ) ) ] )
% 2.23/2.63 , clause( 18086, [ ssItem( skaf79( X ) ) ] )
% 2.23/2.63 , clause( 18087, [ ssItem( skaf78( X ) ) ] )
% 2.23/2.63 , clause( 18088, [ ssList( skaf77( X ) ) ] )
% 2.23/2.63 , clause( 18089, [ ssList( skaf76( X ) ) ] )
% 2.23/2.63 , clause( 18090, [ ssList( skaf75( X ) ) ] )
% 2.23/2.63 , clause( 18091, [ ssItem( skaf74( X ) ) ] )
% 2.23/2.63 , clause( 18092, [ ssList( skaf73( X ) ) ] )
% 2.23/2.63 , clause( 18093, [ ssList( skaf72( X ) ) ] )
% 2.23/2.63 , clause( 18094, [ ssList( skaf71( X ) ) ] )
% 2.23/2.63 , clause( 18095, [ ssItem( skaf70( X ) ) ] )
% 2.23/2.63 , clause( 18096, [ ssItem( skaf69( X ) ) ] )
% 2.23/2.63 , clause( 18097, [ ssList( skaf68( X ) ) ] )
% 2.23/2.63 , clause( 18098, [ ssList( skaf67( X ) ) ] )
% 2.23/2.63 , clause( 18099, [ ssList( skaf66( X ) ) ] )
% 2.23/2.63 , clause( 18100, [ ssItem( skaf65( X ) ) ] )
% 2.23/2.63 , clause( 18101, [ ssItem( skaf64( X ) ) ] )
% 2.23/2.63 , clause( 18102, [ ssList( skaf63( X ) ) ] )
% 2.23/2.63 , clause( 18103, [ ssList( skaf62( X ) ) ] )
% 2.23/2.63 , clause( 18104, [ ssList( skaf61( X ) ) ] )
% 2.23/2.63 , clause( 18105, [ ssItem( skaf60( X ) ) ] )
% 2.23/2.63 , clause( 18106, [ ssItem( skaf59( X ) ) ] )
% 2.23/2.63 , clause( 18107, [ ssList( skaf58( X ) ) ] )
% 2.23/2.63 , clause( 18108, [ ssList( skaf57( X ) ) ] )
% 2.23/2.63 , clause( 18109, [ ssList( skaf56( X ) ) ] )
% 2.23/2.63 , clause( 18110, [ ssItem( skaf55( X ) ) ] )
% 2.23/2.63 , clause( 18111, [ ssItem( skaf54( X ) ) ] )
% 2.23/2.63 , clause( 18112, [ ssList( skaf53( X ) ) ] )
% 2.23/2.63 , clause( 18113, [ ssList( skaf52( X ) ) ] )
% 2.23/2.63 , clause( 18114, [ ssList( skaf51( X ) ) ] )
% 2.23/2.63 , clause( 18115, [ ssItem( skaf50( X ) ) ] )
% 2.23/2.63 , clause( 18116, [ ssItem( skaf49( X ) ) ] )
% 2.23/2.63 , clause( 18117, [ ssItem( skaf44( X ) ) ] )
% 2.23/2.63 , clause( 18118, [ ssList( skaf48( X, Y ) ) ] )
% 2.23/2.63 , clause( 18119, [ ssList( skaf47( X, Y ) ) ] )
% 2.23/2.63 , clause( 18120, [ ssList( skaf46( X, Y ) ) ] )
% 2.23/2.63 , clause( 18121, [ ssList( skaf45( X, Y ) ) ] )
% 2.23/2.63 , clause( 18122, [ ssList( skaf43( X, Y ) ) ] )
% 2.23/2.63 , clause( 18123, [ ssList( skaf42( X, Y ) ) ] )
% 2.23/2.63 , clause( 18124, [ ~( =( skac3, skac2 ) ) ] )
% 2.23/2.63 , clause( 18125, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 2.23/2.63 , clause( 18126, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 2.23/2.63 , clause( 18127, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 2.23/2.63 , clause( 18128, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 2.23/2.63 , clause( 18129, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 2.23/2.63 , clause( 18130, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 2.23/2.63 , clause( 18131, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.23/2.63 , clause( 18132, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 2.23/2.63 , clause( 18133, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 2.23/2.63 , clause( 18134, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 2.23/2.63 , clause( 18135, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 2.23/2.63 , clause( 18136, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 2.23/2.63 , clause( 18137, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 2.23/2.63 , clause( 18138, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 2.23/2.63 , clause( 18139, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 2.23/2.63 , clause( 18140, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 2.23/2.63 , clause( 18141, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 2.23/2.63 , clause( 18142, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 2.23/2.63 , clause( 18143, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.23/2.63 , clause( 18144, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 2.23/2.63 , clause( 18145, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.23/2.63 , clause( 18146, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.23/2.63 , clause( 18147, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.23/2.63 , clause( 18148, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.23/2.63 , clause( 18149, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 2.23/2.63 )
% 2.23/2.63 , clause( 18150, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.23/2.63 )
% 2.23/2.63 , clause( 18151, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 2.23/2.63 )
% 2.23/2.63 , clause( 18152, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.23/2.63 )
% 2.23/2.63 , clause( 18153, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 2.23/2.63 ] )
% 2.23/2.63 , clause( 18154, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 2.23/2.63 ] )
% 2.23/2.63 , clause( 18155, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 2.23/2.63 ) ] )
% 2.23/2.63 , clause( 18156, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 2.23/2.63 ) ] )
% 2.23/2.63 , clause( 18157, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 2.23/2.63 skaf49( X ) ) ] )
% 2.23/2.63 , clause( 18158, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 2.23/2.63 skaf50( X ) ) ] )
% 2.23/2.63 , clause( 18159, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 2.23/2.63 equalelemsP( X ) ] )
% 2.23/2.63 , clause( 18160, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 2.23/2.63 strictorderedP( X ) ] )
% 2.23/2.63 , clause( 18161, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 2.23/2.63 totalorderedP( X ) ] )
% 2.23/2.63 , clause( 18162, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 2.23/2.63 strictorderP( X ) ] )
% 2.23/2.63 , clause( 18163, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 2.23/2.63 strictorderP( X ) ] )
% 2.23/2.63 , clause( 18164, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 2.23/2.63 totalorderP( X ) ] )
% 2.23/2.63 , clause( 18165, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 2.23/2.63 totalorderP( X ) ] )
% 2.23/2.63 , clause( 18166, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 2.23/2.63 ), Y ) ] )
% 2.23/2.63 , clause( 18167, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 2.23/2.63 ), X ) ] )
% 2.23/2.63 , clause( 18168, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 2.23/2.63 Y ) ) ] )
% 2.23/2.63 , clause( 18169, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.23/2.63 Y ) ) ] )
% 2.23/2.63 , clause( 18170, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.23/2.63 ) ] )
% 2.23/2.63 , clause( 18171, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 2.23/2.63 X ), nil ), X ) ] )
% 2.23/2.63 , clause( 18172, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 2.23/2.63 ) ] )
% 2.23/2.63 , clause( 18173, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 2.23/2.63 X, Y ) ] )
% 2.23/2.63 , clause( 18174, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 2.23/2.63 nil, X ) ] )
% 2.23/2.63 , clause( 18175, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.23/2.63 Y, X ) ] )
% 2.23/2.63 , clause( 18176, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 2.23/2.63 Y, X ) ] )
% 2.23/2.63 , clause( 18177, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 2.23/2.63 leq( Y, X ) ] )
% 2.23/2.63 , clause( 18178, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 2.23/2.63 geq( Y, X ) ] )
% 2.23/2.63 , clause( 18179, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 2.23/2.63 ), =( nil, X ) ] )
% 2.23/2.63 , clause( 18180, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.23/2.63 ssItem( Y ) ) ] )
% 2.23/2.63 , clause( 18181, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.23/2.63 ssItem( X ) ) ] )
% 2.23/2.63 , clause( 18182, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.23/2.63 strictorderedP( cons( Y, X ) ) ] )
% 2.23/2.63 , clause( 18183, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.23/2.63 totalorderedP( cons( Y, X ) ) ] )
% 2.23/2.63 , clause( 18184, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.23/2.63 ssItem( Y ) ) ] )
% 2.23/2.63 , clause( 18185, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.23/2.63 ssList( X ) ) ] )
% 2.23/2.63 , clause( 18186, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.23/2.63 Y ) ), singletonP( Y ) ] )
% 2.23/2.63 , clause( 18187, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.23/2.63 ssItem( X ) ) ] )
% 2.23/2.63 , clause( 18188, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.23/2.63 X ) ), =( nil, X ) ] )
% 2.23/2.63 , clause( 18189, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.23/2.63 X ) ), =( nil, Y ) ] )
% 2.23/2.63 , clause( 18190, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 2.23/2.63 ), Y ), cons( X, Y ) ) ] )
% 2.23/2.63 , clause( 18191, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.23/2.63 X, Y ), =( X, Y ) ] )
% 2.23/2.63 , clause( 18192, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.23/2.63 X, Y ), =( X, Y ) ] )
% 2.23/2.63 , clause( 18193, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 2.23/2.63 app( Y, X ) ), hd( Y ) ) ] )
% 2.23/2.63 , clause( 18194, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.23/2.63 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 2.23/2.63 , clause( 18195, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.23/2.63 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 2.23/2.63 , clause( 18196, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 2.23/2.63 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.23/2.63 , clause( 18197, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 2.23/2.63 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.23/2.63 , clause( 18198, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 2.23/2.63 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.23/2.63 , clause( 18199, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 2.23/2.63 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.23/2.63 , clause( 18200, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 2.23/2.63 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.23/2.63 , clause( 18201, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.23/2.63 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 2.23/2.63 , clause( 18202, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.23/2.63 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 2.23/2.63 , clause( 18203, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 2.23/2.63 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 2.23/2.63 , clause( 18204, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.23/2.63 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 2.23/2.63 , clause( 18205, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.23/2.63 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 2.23/2.63 , clause( 18206, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.23/2.63 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 2.23/2.63 , clause( 18207, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.23/2.63 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 2.23/2.63 , clause( 18208, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 2.23/2.63 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 2.23/2.63 , clause( 18209, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 2.23/2.63 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 2.23/2.63 , clause( 18210, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 2.23/2.63 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 2.23/2.63 , clause( 18211, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 2.23/2.63 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 2.23/2.63 , clause( 18212, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 2.23/2.63 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 2.23/2.63 , clause( 18213, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 2.23/2.63 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 2.23/2.63 , clause( 18214, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 2.23/2.63 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.23/2.63 , clause( 18215, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 2.23/2.63 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.23/2.63 , clause( 18216, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.23/2.63 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 2.23/2.63 , clause( 18217, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.23/2.63 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.23/2.63 , clause( 18218, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.23/2.63 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 2.23/2.63 , clause( 18219, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.23/2.63 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 2.23/2.63 , clause( 18220, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 2.23/2.63 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.23/2.63 , clause( 18221, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 2.23/2.63 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 2.23/2.63 , clause( 18222, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 2.23/2.63 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 2.23/2.63 , clause( 18223, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 2.23/2.63 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 2.23/2.63 , clause( 18224, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 2.23/2.63 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 2.23/2.63 , clause( 18225, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.23/2.63 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.23/2.63 , clause( 18226, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.23/2.63 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 2.23/2.63 , clause( 18227, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.23/2.63 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 2.23/2.63 , clause( 18228, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.23/2.63 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 2.23/2.63 , clause( 18229, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 2.23/2.63 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 2.23/2.63 ) ] )
% 2.23/2.63 , clause( 18230, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 2.23/2.63 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 2.23/2.63 Y ) ] )
% 2.23/2.63 , clause( 18231, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.23/2.63 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 2.23/2.63 , clause( 18232, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 2.23/2.63 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 2.23/2.63 skaf77( X ) ) ), X ) ] )
% 2.23/2.63 , clause( 18233, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 2.23/2.63 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 2.23/2.63 skaf73( X ) ) ), X ) ] )
% 2.23/2.63 , clause( 18234, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 2.23/2.63 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 2.23/2.63 skaf68( X ) ) ), X ) ] )
% 2.23/2.63 , clause( 18235, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 2.23/2.63 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 2.23/2.63 ), X ) ] )
% 2.23/2.63 , clause( 18236, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 2.23/2.63 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 2.23/2.63 ), X ) ] )
% 2.23/2.63 , clause( 18237, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 2.23/2.63 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 2.23/2.63 ), X ) ] )
% 2.23/2.63 , clause( 18238, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.23/2.63 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 2.23/2.63 , clause( 18239, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 2.23/2.63 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 2.23/2.63 , clause( 18240, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.23/2.63 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 2.23/2.63 , clause( 18241, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.23/2.63 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 2.23/2.63 , clause( 18242, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 2.23/2.63 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 2.23/2.63 Y ) ] )
% 2.23/2.63 , clause( 18243, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 2.23/2.63 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 2.23/2.63 )
% 2.23/2.63 , clause( 18244, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.23/2.63 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 2.23/2.63 , T ) ] )
% 2.23/2.63 , clause( 18245, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 2.23/2.63 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 2.23/2.63 )
% 2.23/2.63 , clause( 18246, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.23/2.63 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 2.23/2.63 )
% 2.23/2.63 , clause( 18247, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 2.23/2.63 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 2.23/2.63 )
% 2.23/2.63 , clause( 18248, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 2.23/2.63 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 2.23/2.63 Z, X ), cons( T, Y ) ) ] )
% 2.23/2.63 , clause( 18249, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 2.23/2.63 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 2.23/2.63 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 2.23/2.63 , clause( 18250, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 2.23/2.63 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 2.23/2.63 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 2.23/2.63 , clause( 18251, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.23/2.63 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.23/2.63 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 2.23/2.63 ) ] )
% 2.23/2.63 , clause( 18252, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.23/2.63 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.23/2.63 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 2.23/2.63 ) ] )
% 2.23/2.63 , clause( 18253, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.23/2.63 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.23/2.63 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 2.23/2.63 , lt( T, Y ) ] )
% 2.23/2.63 , clause( 18254, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.23/2.63 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.23/2.63 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 2.23/2.63 , leq( T, Y ) ] )
% 2.23/2.63 , clause( 18255, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 2.23/2.63 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 2.23/2.63 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 2.23/2.63 ) ), ~( ssList( W ) ) ] )
% 2.23/2.63 , clause( 18256, [ ssList( sk1 ) ] )
% 2.23/2.63 , clause( 18257, [ ssList( sk2 ) ] )
% 2.23/2.63 , clause( 18258, [ ssList( sk3 ) ] )
% 2.23/2.63 , clause( 18259, [ ssList( sk4 ) ] )
% 2.23/2.63 , clause( 18260, [ =( sk2, sk4 ) ] )
% 2.23/2.63 , clause( 18261, [ =( sk1, sk3 ) ] )
% 2.23/2.63 , clause( 18262, [ ~( frontsegP( sk2, sk1 ) ) ] )
% 2.23/2.63 , clause( 18263, [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ] )
% 2.23/2.63 , clause( 18264, [ ~( neq( sk4, nil ) ), neq( sk3, nil ) ] )
% 2.23/2.63 , clause( 18265, [ ~( neq( sk4, nil ) ), frontsegP( sk4, sk3 ) ] )
% 2.23/2.63 ] ).
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63
% 2.23/2.63 subsumption(
% 2.23/2.63 clause( 7, [ ssList( nil ) ] )
% 2.23/2.63 , clause( 18078, [ ssList( nil ) ] )
% 2.23/2.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 48, [ ssList( skaf47( X, Y ) ) ] )
% 2.23/2.67 , clause( 18119, [ ssList( skaf47( X, Y ) ) ] )
% 2.23/2.67 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.23/2.67 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.23/2.67 , clause( 18143, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.23/2.67 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.23/2.67 1 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 2.23/2.67 )
% 2.23/2.67 , clause( 18170, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.23/2.67 ) ] )
% 2.23/2.67 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.23/2.67 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 140, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 2.23/2.67 , ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.23/2.67 , clause( 18214, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 2.23/2.67 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.23/2.67 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.23/2.67 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 2.23/2.67 ==>( 4, 4 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 146, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~(
% 2.23/2.67 ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.23/2.67 , clause( 18220, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 2.23/2.67 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.23/2.67 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.23/2.67 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 2.23/2.67 ==>( 4, 4 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 182, [ ssList( sk1 ) ] )
% 2.23/2.67 , clause( 18256, [ ssList( sk1 ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 183, [ ssList( sk2 ) ] )
% 2.23/2.67 , clause( 18257, [ ssList( sk2 ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 eqswap(
% 2.23/2.67 clause( 20873, [ =( sk4, sk2 ) ] )
% 2.23/2.67 , clause( 18260, [ =( sk2, sk4 ) ] )
% 2.23/2.67 , 0, substitution( 0, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 186, [ =( sk4, sk2 ) ] )
% 2.23/2.67 , clause( 20873, [ =( sk4, sk2 ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 eqswap(
% 2.23/2.67 clause( 21632, [ =( sk3, sk1 ) ] )
% 2.23/2.67 , clause( 18261, [ =( sk1, sk3 ) ] )
% 2.23/2.67 , 0, substitution( 0, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 187, [ =( sk3, sk1 ) ] )
% 2.23/2.67 , clause( 21632, [ =( sk3, sk1 ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 188, [ ~( frontsegP( sk2, sk1 ) ) ] )
% 2.23/2.67 , clause( 18262, [ ~( frontsegP( sk2, sk1 ) ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 paramod(
% 2.23/2.67 clause( 23549, [ =( nil, sk1 ), ~( =( nil, sk4 ) ) ] )
% 2.23/2.67 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.23/2.67 , 0, clause( 18263, [ =( nil, sk3 ), ~( =( nil, sk4 ) ) ] )
% 2.23/2.67 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 paramod(
% 2.23/2.67 clause( 23550, [ ~( =( nil, sk2 ) ), =( nil, sk1 ) ] )
% 2.23/2.67 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.23/2.67 , 0, clause( 23549, [ =( nil, sk1 ), ~( =( nil, sk4 ) ) ] )
% 2.23/2.67 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 189, [ =( nil, sk1 ), ~( =( nil, sk2 ) ) ] )
% 2.23/2.67 , clause( 23550, [ ~( =( nil, sk2 ) ), =( nil, sk1 ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.23/2.67 ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 paramod(
% 2.23/2.67 clause( 24916, [ frontsegP( sk2, sk3 ), ~( neq( sk4, nil ) ) ] )
% 2.23/2.67 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.23/2.67 , 0, clause( 18265, [ ~( neq( sk4, nil ) ), frontsegP( sk4, sk3 ) ] )
% 2.23/2.67 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 paramod(
% 2.23/2.67 clause( 24918, [ ~( neq( sk2, nil ) ), frontsegP( sk2, sk3 ) ] )
% 2.23/2.67 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.23/2.67 , 0, clause( 24916, [ frontsegP( sk2, sk3 ), ~( neq( sk4, nil ) ) ] )
% 2.23/2.67 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 paramod(
% 2.23/2.67 clause( 24919, [ frontsegP( sk2, sk1 ), ~( neq( sk2, nil ) ) ] )
% 2.23/2.67 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.23/2.67 , 0, clause( 24918, [ ~( neq( sk2, nil ) ), frontsegP( sk2, sk3 ) ] )
% 2.23/2.67 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 resolution(
% 2.23/2.67 clause( 24920, [ ~( neq( sk2, nil ) ) ] )
% 2.23/2.67 , clause( 188, [ ~( frontsegP( sk2, sk1 ) ) ] )
% 2.23/2.67 , 0, clause( 24919, [ frontsegP( sk2, sk1 ), ~( neq( sk2, nil ) ) ] )
% 2.23/2.67 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 191, [ ~( neq( sk2, nil ) ) ] )
% 2.23/2.67 , clause( 24920, [ ~( neq( sk2, nil ) ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 eqswap(
% 2.23/2.67 clause( 24921, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X, Y )
% 2.23/2.67 ] )
% 2.23/2.67 , clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X )
% 2.23/2.67 ] )
% 2.23/2.67 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 resolution(
% 2.23/2.67 clause( 24922, [ =( nil, sk2 ), ~( ssList( nil ) ), ~( ssList( sk2 ) ) ] )
% 2.23/2.67 , clause( 191, [ ~( neq( sk2, nil ) ) ] )
% 2.23/2.67 , 0, clause( 24921, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X
% 2.23/2.67 , Y ) ] )
% 2.23/2.67 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 ), :=( Y, nil )] )
% 2.23/2.67 ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 resolution(
% 2.23/2.67 clause( 24923, [ =( nil, sk2 ), ~( ssList( sk2 ) ) ] )
% 2.23/2.67 , clause( 24922, [ =( nil, sk2 ), ~( ssList( nil ) ), ~( ssList( sk2 ) ) ]
% 2.23/2.67 )
% 2.23/2.67 , 1, clause( 7, [ ssList( nil ) ] )
% 2.23/2.67 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 3143, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 2.23/2.67 , clause( 24923, [ =( nil, sk2 ), ~( ssList( sk2 ) ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.23/2.67 ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 resolution(
% 2.23/2.67 clause( 24926, [ =( nil, sk2 ) ] )
% 2.23/2.67 , clause( 3143, [ ~( ssList( sk2 ) ), =( nil, sk2 ) ] )
% 2.23/2.67 , 0, clause( 183, [ ssList( sk2 ) ] )
% 2.23/2.67 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 3763, [ =( nil, sk2 ) ] )
% 2.23/2.67 , clause( 24926, [ =( nil, sk2 ) ] )
% 2.23/2.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 eqswap(
% 2.23/2.67 clause( 24929, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 2.23/2.67 , clause( 72, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.23/2.67 , 1, substitution( 0, [ :=( X, X )] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 paramod(
% 2.23/2.67 clause( 24930, [ =( X, app( X, sk2 ) ), ~( ssList( X ) ) ] )
% 2.23/2.67 , clause( 3763, [ =( nil, sk2 ) ] )
% 2.23/2.67 , 0, clause( 24929, [ =( X, app( X, nil ) ), ~( ssList( X ) ) ] )
% 2.23/2.67 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 eqswap(
% 2.23/2.67 clause( 24931, [ =( app( X, sk2 ), X ), ~( ssList( X ) ) ] )
% 2.23/2.67 , clause( 24930, [ =( X, app( X, sk2 ) ), ~( ssList( X ) ) ] )
% 2.23/2.67 , 0, substitution( 0, [ :=( X, X )] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 3838, [ ~( ssList( X ) ), =( app( X, sk2 ), X ) ] )
% 2.23/2.67 , clause( 24931, [ =( app( X, sk2 ), X ), ~( ssList( X ) ) ] )
% 2.23/2.67 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.23/2.67 0 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 eqswap(
% 2.23/2.67 clause( 24932, [ ~( =( Z, app( X, Y ) ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.23/2.67 ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.23/2.67 , clause( 140, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.23/2.67 ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.23/2.67 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 resolution(
% 2.23/2.67 clause( 24933, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~( ssList(
% 2.23/2.67 sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.23/2.67 , clause( 188, [ ~( frontsegP( sk2, sk1 ) ) ] )
% 2.23/2.67 , 0, clause( 24932, [ ~( =( Z, app( X, Y ) ) ), ~( ssList( Y ) ), ~( ssList(
% 2.23/2.67 X ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.23/2.67 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 ), :=( Y, X ),
% 2.23/2.67 :=( Z, sk2 )] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 resolution(
% 2.23/2.67 clause( 24940, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~( ssList(
% 2.23/2.67 sk2 ) ) ] )
% 2.23/2.67 , clause( 24933, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~(
% 2.23/2.67 ssList( sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.23/2.67 , 2, clause( 182, [ ssList( sk1 ) ] )
% 2.23/2.67 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 eqswap(
% 2.23/2.67 clause( 24941, [ ~( =( app( sk1, X ), sk2 ) ), ~( ssList( X ) ), ~( ssList(
% 2.23/2.67 sk2 ) ) ] )
% 2.23/2.67 , clause( 24940, [ ~( =( sk2, app( sk1, X ) ) ), ~( ssList( X ) ), ~(
% 2.23/2.67 ssList( sk2 ) ) ] )
% 2.23/2.67 , 0, substitution( 0, [ :=( X, X )] )).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 subsumption(
% 2.23/2.67 clause( 8616, [ ~( =( app( sk1, X ), sk2 ) ), ~( ssList( X ) ), ~( ssList(
% 2.23/2.67 sk2 ) ) ] )
% 2.23/2.67 , clause( 24941, [ ~( =( app( sk1, X ), sk2 ) ), ~( ssList( X ) ), ~(
% 2.23/2.67 ssList( sk2 ) ) ] )
% 2.23/2.67 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.23/2.67 1 ), ==>( 2, 2 )] ) ).
% 2.23/2.67
% 2.23/2.67
% 2.23/2.67 factor(
% 2.23/2.67 clause( 24946, [ ~( =( app( sk1, sk2 ), sk2 ) ), ~( ssList( sk2 ) ) ] )
% 2.23/2.67 , clause( 8616, [ ~( =( app( sk1, X ), sk2 ) ), ~( ssList( X ) ), ~( ssList(
% 2.23/2.67 sk2 ) ) ] )
% 2.23/2.67 , 1, 2, substitutCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------