%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWB077+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:51:04 AM UTC 2026
% Result : Theorem 42.13s 33.99s
% Output : CNFRefutation 42.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 26 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 4 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(premise_rdfbased_sem_rdfsext_range_subprop,axiom,
( iext('uri$urdfs$usubPropertyOf','uri$uex$up1','uri$uex$up2')
& iext('uri$urdfs$urange','uri$uex$up2','uri$uex$uc') ) ).
fof(rdfs_range_main,axiom,
! [X0,X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext('uri$urdfs$urange',X0,X1) )
=> icext(X1,X3) ) ).
fof(rdfs_subpropertyof_main,axiom,
! [X0,X1] :
( iext('uri$urdfs$usubPropertyOf',X0,X1)
=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ) ).
fof(owl_rdfsext_range,axiom,
! [X0,X1] :
( iext('uri$urdfs$urange',X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> icext(X1,X3) )
& ip(X1)
& ip(X0) ) ) ).
fof(conclusion_rdfbased_sem_rdfsext_range_subprop,conjecture,
iext('uri$urdfs$urange','uri$uex$up1','uri$uex$uc') ).
fof(negated_conjecture,negated_conjecture,
~ iext('uri$urdfs$urange','uri$uex$up1','uri$uex$uc'),
inference(negate_conjecture,[status(cth)],[conclusion_rdfbased_sem_rdfsext_range_subprop]) ).
cnf(c0,plain,
iext('uri$urdfs$urange','uri$uex$up2','uri$uex$uc'),
inference(clausification,[status(esa)],[premise_rdfbased_sem_rdfsext_range_subprop]) ).
cnf(c1,plain,
iext('uri$urdfs$usubPropertyOf','uri$uex$up1','uri$uex$up2'),
inference(clausification,[status(esa)],[premise_rdfbased_sem_rdfsext_range_subprop]) ).
cnf(c43,plain,
( icext(X3,X2)
| ~ iext('uri$urdfs$urange',X0,X3)
| ~ iext(X0,X1,X2) ),
inference(clausification,[status(esa)],[rdfs_range_main]) ).
cnf(c53,plain,
( ip(X0)
| ~ iext('uri$urdfs$usubPropertyOf',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_subpropertyof_main]) ).
cnf(c54,plain,
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3)
| ~ iext('uri$urdfs$usubPropertyOf',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_subpropertyof_main]) ).
cnf(c261,plain,
( ip(X1)
| ~ iext('uri$urdfs$urange',X0,X1) ),
inference(clausification,[status(esa)],[owl_rdfsext_range]) ).
cnf(c262,plain,
( ~ ip(X0)
| iext(X0,sK227(X0,X1),sK228(X0,X1))
| ~ ip(X1)
| iext('uri$urdfs$urange',X0,X1) ),
inference(clausification,[status(esa)],[owl_rdfsext_range]) ).
cnf(c263,plain,
( ~ ip(X0)
| ~ icext(X1,sK228(X0,X1))
| ~ ip(X1)
| iext('uri$urdfs$urange',X0,X1) ),
inference(clausification,[status(esa)],[owl_rdfsext_range]) ).
cnf(c365,plain,
~ iext('uri$urdfs$urange','uri$uex$up1','uri$uex$uc'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( icext('uri$uex$uc',X1)
| ~ iext('uri$uex$up2',X0,X1) ),
inference(resolution,[status(thm)],[c43,c0]) ).
cnf(d1,plain,
( ~ iext('uri$uex$up1',X0,X1)
| iext('uri$uex$up2',X0,X1) ),
inference(resolution,[status(thm)],[c54,c1]) ).
cnf(d2,plain,
( ~ ip('uri$uex$up1')
| ~ ip(X0)
| iext('uri$urdfs$urange','uri$uex$up1',X0)
| iext('uri$uex$up2',sK227('uri$uex$up1',X0),sK228('uri$uex$up1',X0)) ),
inference(resolution,[status(thm)],[d1,c262]) ).
cnf(d3,plain,
ip('uri$uex$up1'),
inference(resolution,[status(thm)],[c53,c1]) ).
cnf(d4,plain,
( ~ ip(X0)
| iext('uri$uex$up2',sK227('uri$uex$up1',X0),sK228('uri$uex$up1',X0))
| iext('uri$urdfs$urange','uri$uex$up1',X0) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( icext('uri$uex$uc',sK228('uri$uex$up1',X0))
| ~ ip(X0)
| iext('uri$urdfs$urange','uri$uex$up1',X0) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( ~ ip('uri$uex$up1')
| ~ ip('uri$uex$uc')
| iext('uri$urdfs$urange','uri$uex$up1','uri$uex$uc')
| ~ ip('uri$uex$uc')
| iext('uri$urdfs$urange','uri$uex$up1','uri$uex$uc') ),
inference(resolution,[status(thm)],[d5,c263]) ).
cnf(d7,plain,
( ~ ip('uri$uex$up1')
| ~ ip('uri$uex$uc') ),
inference(resolution,[status(thm)],[c365,d6]) ).
cnf(d8,plain,
~ ip('uri$uex$uc'),
inference(resolution,[status(thm)],[d3,d7]) ).
cnf(d9,plain,
ip('uri$uex$uc'),
inference(resolution,[status(thm)],[c261,c0]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.23 % Problem : SWB077+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.24 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/15.61 % Computer : n008.cluster.edu
% 0.12/15.61 % Model : x86_64 x86_64
% 0.12/15.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.61 % Memory : 8046.5625MB
% 0.12/15.61 % OS : Linux 6.8.0-71-generic
% 0.12/15.61 % CPULimit : 300
% 0.12/15.61 % WCLimit : 300
% 0.12/15.61 % DateTime : Sat Sep 26 11:59:28 UTC 2026
% 0.12/15.61 % CPUTime :
% 0.12/15.61 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.13/33.99 % SZS status Theorem for theBenchmark.p
% 42.13/33.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------