%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWB047+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 : n002.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 08:51:01 AM UTC 2026
% Result : Theorem 84.68s 19.61s
% Output : CNFRefutation 84.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 79 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 28 ~; 27 |; 8 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 37 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(premise_rdfbased_sem_char_inversefunc_term,axiom,
( iext('uri$urdf$utype','uri$uex$up1','uri$uowl$uFunctionalProperty')
& iext('uri$uowl$uinverseOf','uri$uex$up2','uri$uex$up1') ) ).
fof(rdfs_cext_def,axiom,
! [X0,X1] :
( iext('uri$urdf$utype',X0,X1)
<=> icext(X1,X0) ) ).
fof(owl_prop_inverseof_ext,axiom,
! [X0,X1] :
( iext('uri$uowl$uinverseOf',X0,X1)
=> ( ip(X1)
& ip(X0) ) ) ).
fof(owl_inv,axiom,
! [X0,X1] :
( iext('uri$uowl$uinverseOf',X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ) ).
fof(owl_char_functional,axiom,
! [X0] :
( icext('uri$uowl$uFunctionalProperty',X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X1,X3)
& iext(X0,X1,X2) )
=> X2 = X3 )
& ip(X0) ) ) ).
fof(owl_char_inversefunctional,axiom,
! [X0] :
( icext('uri$uowl$uInverseFunctionalProperty',X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> X1 = X2 )
& ip(X0) ) ) ).
fof(conclusion_rdfbased_sem_char_inversefunc_term,conjecture,
iext('uri$urdf$utype','uri$uex$up2','uri$uowl$uInverseFunctionalProperty') ).
fof(negated_conjecture,negated_conjecture,
~ iext('uri$urdf$utype','uri$uex$up2','uri$uowl$uInverseFunctionalProperty'),
inference(negate_conjecture,[status(cth)],[conclusion_rdfbased_sem_char_inversefunc_term]) ).
cnf(c0,plain,
iext('uri$uowl$uinverseOf','uri$uex$up2','uri$uex$up1'),
inference(clausification,[status(esa)],[premise_rdfbased_sem_char_inversefunc_term]) ).
cnf(c1,plain,
iext('uri$urdf$utype','uri$uex$up1','uri$uowl$uFunctionalProperty'),
inference(clausification,[status(esa)],[premise_rdfbased_sem_char_inversefunc_term]) ).
cnf(c16,plain,
( icext(X1,X0)
| ~ iext('uri$urdf$utype',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_cext_def]) ).
cnf(c17,plain,
( ~ icext(X1,X0)
| iext('uri$urdf$utype',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_cext_def]) ).
cnf(c104,plain,
( ip(X0)
| ~ iext('uri$uowl$uinverseOf',X0,X1) ),
inference(clausification,[status(esa)],[owl_prop_inverseof_ext]) ).
cnf(c283,plain,
( iext(X1,X3,X2)
| ~ iext(X0,X2,X3)
| ~ iext('uri$uowl$uinverseOf',X0,X1) ),
inference(clausification,[status(esa)],[owl_inv]) ).
cnf(c291,plain,
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ icext('uri$uowl$uFunctionalProperty',X0) ),
inference(clausification,[status(esa)],[owl_char_functional]) ).
cnf(c297,plain,
( ~ ip(X0)
| iext(X0,sK299(X0),sK300(X0))
| icext('uri$uowl$uInverseFunctionalProperty',X0) ),
inference(clausification,[status(esa)],[owl_char_inversefunctional]) ).
cnf(c298,plain,
( ~ ip(X0)
| iext(X0,sK298(X0),sK300(X0))
| icext('uri$uowl$uInverseFunctionalProperty',X0) ),
inference(clausification,[status(esa)],[owl_char_inversefunctional]) ).
cnf(c299,plain,
( ~ ip(X0)
| sK299(X0) != sK298(X0)
| icext('uri$uowl$uInverseFunctionalProperty',X0) ),
inference(clausification,[status(esa)],[owl_char_inversefunctional]) ).
cnf(c367,plain,
~ iext('uri$urdf$utype','uri$uex$up2','uri$uowl$uInverseFunctionalProperty'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ iext('uri$uex$up2',X1,X0)
| iext('uri$uex$up1',X0,X1) ),
inference(resolution,[status(thm)],[c283,c0]) ).
cnf(d1,plain,
( icext('uri$uowl$uInverseFunctionalProperty','uri$uex$up2')
| ~ ip('uri$uex$up2')
| iext('uri$uex$up1',sK300('uri$uex$up2'),sK299('uri$uex$up2')) ),
inference(resolution,[status(thm)],[d0,c297]) ).
cnf(d2,plain,
~ icext('uri$uowl$uInverseFunctionalProperty','uri$uex$up2'),
inference(resolution,[status(thm)],[c17,c367]) ).
cnf(d3,plain,
( ~ ip('uri$uex$up2')
| iext('uri$uex$up1',sK300('uri$uex$up2'),sK299('uri$uex$up2')) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
ip('uri$uex$up2'),
inference(resolution,[status(thm)],[c104,c0]) ).
cnf(d5,plain,
iext('uri$uex$up1',sK300('uri$uex$up2'),sK299('uri$uex$up2')),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( icext('uri$uowl$uInverseFunctionalProperty','uri$uex$up2')
| ~ ip('uri$uex$up2')
| iext('uri$uex$up1',sK300('uri$uex$up2'),sK298('uri$uex$up2')) ),
inference(resolution,[status(thm)],[d0,c298]) ).
cnf(d7,plain,
( ~ ip('uri$uex$up2')
| iext('uri$uex$up1',sK300('uri$uex$up2'),sK298('uri$uex$up2')) ),
inference(resolution,[status(thm)],[d2,d6]) ).
cnf(d8,plain,
iext('uri$uex$up1',sK300('uri$uex$up2'),sK298('uri$uex$up2')),
inference(resolution,[status(thm)],[d4,d7]) ).
cnf(d9,plain,
( ~ icext('uri$uowl$uFunctionalProperty','uri$uex$up1')
| ~ iext('uri$uex$up1',sK300('uri$uex$up2'),X0)
| sK298('uri$uex$up2') = X0 ),
inference(resolution,[status(thm)],[d8,c291]) ).
cnf(d10,plain,
icext('uri$uowl$uFunctionalProperty','uri$uex$up1'),
inference(resolution,[status(thm)],[c16,c1]) ).
cnf(d11,plain,
( ~ iext('uri$uex$up1',sK300('uri$uex$up2'),X0)
| sK298('uri$uex$up2') = X0 ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
sK298('uri$uex$up2') = sK299('uri$uex$up2'),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( icext('uri$uowl$uInverseFunctionalProperty','uri$uex$up2')
| ~ ip('uri$uex$up2')
| sK299('uri$uex$up2') != sK299('uri$uex$up2') ),
inference(superposition,[status(thm)],[d12,c299]) ).
cnf(d14,plain,
( ~ ip('uri$uex$up2')
| sK299('uri$uex$up2') != sK299('uri$uex$up2') ),
inference(resolution,[status(thm)],[d2,d13]) ).
cnf(d15,plain,
sK299('uri$uex$up2') != sK299('uri$uex$up2'),
inference(resolution,[status(thm)],[d4,d14]) ).
cnf(d16,plain,
$false,
inference(equality_resolution,[status(thm)],[d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB047+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
% 0.17/5.43 % Computer : n002.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.44 % DateTime : Sat Sep 26 11:58:42 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.68/19.61 % SZS status Theorem for theBenchmark.p
% 84.68/19.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------