%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB008+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 : Thu Sep 24 02:37:02 PM UTC 2026
% Result : Theorem 19.94s 3.13s
% Output : CNFRefutation 19.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 88 ( 18 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 96 ( 36 ~; 33 |; 22 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 55 ( 49 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f354,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f394,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( ( iext(P,X2,Y)
& iext(P,X1,Y) )
=> X1 = X2 )
& ip(P) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f592,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f593,plain,
( ! [X,C] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ! [X,C] :
( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(miniscoping,[status(thm)],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f1832,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f1833,plain,
( ! [X,Y] :
( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ! [X,Y] :
( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(miniscoping,[status(thm)],[f1832]) ).
fof(f1835,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1833]) ).
fof(f2025,plain,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) ) ),
inference(pre_NNF_transformation,[status(thm)],[f394]) ).
fof(f2026,plain,
! [P] :
( ( ? [X1,X2,Y] :
( X1 != X2
& iext(P,X2,Y)
& iext(P,X1,Y) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ( ! [X1,X2,Y] :
( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(NNF_transformation,[status(thm)],[f2025]) ).
fof(f2027,plain,
( ! [P] :
( ? [X1,X2] :
( X1 != X2
& ? [Y] :
( iext(P,X2,Y)
& iext(P,X1,Y) ) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ! [P] :
( ( ! [X1,X2] :
( X1 = X2
| ! [Y] :
( ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(miniscoping,[status(thm)],[f2026]) ).
fof(f2028,plain,
( ! [P] :
( ( sK173_skl(P) != sK174_skl(P)
& iext(P,sK174_skl(P),sK175_skl(P))
& iext(P,sK173_skl(P),sK175_skl(P)) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ! [P] :
( ( ! [X1,X2] :
( X1 = X2
| ! [Y] :
( ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK173_skl,sK174_skl,sK175_skl]),skolemize(X1,sK173_skl(P)),skolemize(X2,sK174_skl(P)),skolemize(Y,sK175_skl(P))],[f2027]) ).
fof(f2030,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ iext(X0,X3,X2)
| ~ iext(X0,X1,X2)
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f2028]) ).
fof(f2405,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2407,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2408,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2409,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2510,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f1835]) ).
fof(f5416,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(resolution,[status(thm)],[f2407,f594]) ).
fof(f16106,plain,
! [X0] :
( X0 = uri_ex_robert
| ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(resolution,[status(thm)],[f2030,f2409]) ).
fof(f16218,plain,
! [X0] :
( X0 = uri_ex_robert
| ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz)) ),
inference(forward_subsumption_resolution,[status(thm)],[f16106,f5416]) ).
fof(f16565,plain,
uri_ex_bob = uri_ex_robert,
inference(resolution,[status(thm)],[f16218,f2408]) ).
fof(f16571,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(backward_demodulation,[status(thm)],[f16565,f2405]) ).
fof(f16572,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16571,f2510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB008+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.51 % Computer : n020.cluster.edu
% 0.07/0.51 % Model : x86_64 x86_64
% 0.07/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.51 % Memory : 8046.5625MB
% 0.07/0.51 % OS : Linux 6.8.0-71-generic
% 0.07/0.51 % CPULimit : 300
% 0.07/0.51 % WCLimit : 300
% 0.07/0.51 % DateTime : Mon Sep 21 07:38:34 UTC 2026
% 0.07/0.51 % CPUTime :
% 0.15/0.56 % Drodi V4.1.1
% 19.94/3.13 % Refutation found
% 19.94/3.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.94/3.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.94/3.18 % Elapsed time: 2.646111 seconds
% 19.94/3.18 % CPU time: 20.422361 seconds
% 19.94/3.18 % Total memory used: 245.749 MB
% 19.94/3.18 % Net memory used: 235.114 MB
%------------------------------------------------------------------------------