%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:51:02 AM UTC 2026
% Result : Theorem 31.94s 7.06s
% Output : CNFRefutation 31.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 33 ( 3 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 5 |; 4 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 7 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(premise_rdfbased_sem_eqdis_different_ext,axiom,
? [X0] :
( iext('uri$urdf$utype','uri$uex$uw','uri$uex$uc')
& iext('uri$uowl$ucomplementOf',X0,'uri$uex$uc')
& iext('uri$urdf$utype','uri$uex$uu',X0) ) ).
fof(rdfs_cext_def,axiom,
! [X0,X1] :
( iext('uri$urdf$utype',X0,X1)
<=> icext(X1,X0) ) ).
fof(owl_bool_complementof_class,axiom,
! [X0,X1] :
( iext('uri$uowl$ucomplementOf',X0,X1)
=> ( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
& ic(X1)
& ic(X0) ) ) ).
fof(owl_eqdis_differentfrom,axiom,
! [X0,X1] :
( iext('uri$uowl$udifferentFrom',X0,X1)
<=> X0 != X1 ) ).
fof(conclusion_rdfbased_sem_eqdis_different_ext,conjecture,
iext('uri$uowl$udifferentFrom','uri$uex$uw','uri$uex$uu') ).
fof(negated_conjecture,negated_conjecture,
~ iext('uri$uowl$udifferentFrom','uri$uex$uw','uri$uex$uu'),
inference(negate_conjecture,[status(cth)],[conclusion_rdfbased_sem_eqdis_different_ext]) ).
cnf(c0,plain,
iext('uri$urdf$utype','uri$uex$uu',sK0),
inference(clausification,[status(esa)],[premise_rdfbased_sem_eqdis_different_ext]) ).
cnf(c1,plain,
iext('uri$uowl$ucomplementOf',sK0,'uri$uex$uc'),
inference(clausification,[status(esa)],[premise_rdfbased_sem_eqdis_different_ext]) ).
cnf(c2,plain,
iext('uri$urdf$utype','uri$uex$uw','uri$uex$uc'),
inference(clausification,[status(esa)],[premise_rdfbased_sem_eqdis_different_ext]) ).
cnf(c13,plain,
( icext(X1,X0)
| ~ iext('uri$urdf$utype',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_cext_def]) ).
cnf(c92,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext('uri$uowl$ucomplementOf',X0,X1) ),
inference(clausification,[status(esa)],[owl_bool_complementof_class]) ).
cnf(c109,plain,
( X0 = X1
| iext('uri$uowl$udifferentFrom',X0,X1) ),
inference(clausification,[status(esa)],[owl_eqdis_differentfrom]) ).
cnf(c111,plain,
~ iext('uri$uowl$udifferentFrom','uri$uex$uw','uri$uex$uu'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'uri$uex$uw' = 'uri$uex$uu',
inference(resolution,[status(thm)],[c109,c111]) ).
cnf(d1,plain,
icext('uri$uex$uc','uri$uex$uw'),
inference(resolution,[status(thm)],[c13,c2]) ).
cnf(d2,plain,
icext('uri$uex$uc','uri$uex$uu'),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ icext('uri$uex$uc',X0)
| ~ icext(sK0,X0) ),
inference(resolution,[status(thm)],[c92,c1]) ).
cnf(d4,plain,
~ icext(sK0,'uri$uex$uu'),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
icext(sK0,'uri$uex$uu'),
inference(resolution,[status(thm)],[c13,c0]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 11:54:54 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.94/7.06 % SZS status Theorem for theBenchmark.p
% 31.94/7.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------