%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB073+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 02:37:17 PM UTC 2026
% Result : Theorem 0.85s 0.81s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 15 unt; 2 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 101 ( 40 ~; 36 |; 18 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 41 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
! [X] :
( iodp(X)
=> ip(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [X] :
( iodp(X)
<=> iext(uri_rdf_type,X,uri_owl_DatatypeProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f180,axiom,
! [X,Y] : ~ iext(uri_owl_bottomDataProperty,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f181,axiom,
iodp(uri_owl_bottomDataProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f344,axiom,
! [P1,P2] :
( iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
=> iext(P2,X,Y) )
& ip(P2)
& ip(P1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f707,plain,
! [X] :
( ip(X)
| ~ iodp(X) ),
inference(pre_NNF_transformation,[status(thm)],[f91]) ).
fof(f708,plain,
! [X0] :
( ip(X0)
| ~ iodp(X0) ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f709,plain,
! [X] :
( ( ~ iext(uri_rdf_type,X,uri_owl_DatatypeProperty)
| iodp(X) )
& ( iext(uri_rdf_type,X,uri_owl_DatatypeProperty)
| ~ iodp(X) ) ),
inference(NNF_transformation,[status(thm)],[f92]) ).
fof(f710,plain,
( ! [X] :
( ~ iext(uri_rdf_type,X,uri_owl_DatatypeProperty)
| iodp(X) )
& ! [X] :
( iext(uri_rdf_type,X,uri_owl_DatatypeProperty)
| ~ iodp(X) ) ),
inference(miniscoping,[status(thm)],[f709]) ).
fof(f712,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
| iodp(X0) ),
inference(cnf_transformation,[status(thm)],[f710]) ).
fof(f892,plain,
! [X0,X1] : ~ iext(uri_owl_bottomDataProperty,X0,X1),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f893,plain,
iodp(uri_owl_bottomDataProperty),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f1740,plain,
! [P1,P2] :
( iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f344]) ).
fof(f1741,plain,
! [P1,P2] :
( ( ? [X,Y] :
( ~ iext(P2,X,Y)
& iext(P1,X,Y) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_rdfs_subPropertyOf,P1,P2) )
& ( ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(NNF_transformation,[status(thm)],[f1740]) ).
fof(f1742,plain,
( ! [P1,P2] :
( ? [X,Y] :
( ~ iext(P2,X,Y)
& iext(P1,X,Y) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_rdfs_subPropertyOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(miniscoping,[status(thm)],[f1741]) ).
fof(f1743,plain,
( ! [P1,P2] :
( ( ~ iext(P2,sK116_skl(P2,P1),sK117_skl(P2,P1))
& iext(P1,sK116_skl(P2,P1),sK117_skl(P2,P1)) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_rdfs_subPropertyOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK116_skl,sK117_skl]),skolemize(X,sK116_skl(P2,P1)),skolemize(Y,sK117_skl(P2,P1))],[f1742]) ).
fof(f1747,plain,
! [X0,X1] :
( iext(X0,sK116_skl(X1,X0),sK117_skl(X1,X0))
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1743]) ).
fof(f2405,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2551,plain,
ip(uri_owl_bottomDataProperty),
inference(resolution,[status(thm)],[f708,f893]) ).
fof(f3465,plain,
iodp(uri_ex_p),
inference(resolution,[status(thm)],[f712,f2406]) ).
fof(f3880,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[f3465,f708]) ).
fof(f4124,plain,
! [X0] :
( ~ ip(X0)
| ~ ip(uri_owl_bottomDataProperty)
| iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,X0) ),
inference(resolution,[status(thm)],[f1747,f892]) ).
fof(f4486,definition,
! [X0] :
( sQ281_spl
<=> ( ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f4487,plain,
! [X0] :
( ~ sQ281_spl
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,X0) ),
inference(component_clause,[status(thm)],[f4486]) ).
fof(f4489,definition,
( sQ282_spl
<=> ip(uri_owl_bottomDataProperty) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f4491,plain,
( sQ282_spl
| ~ ip(uri_owl_bottomDataProperty) ),
inference(component_clause,[status(thm)],[f4489]) ).
fof(f4492,plain,
( ~ sQ282_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f4124,f4486,f4489]) ).
fof(f4531,plain,
( ~ sQ281_spl
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[f4487,f2405]) ).
fof(f4545,plain,
( ~ sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4531,f3880]) ).
fof(f4546,plain,
~ sQ281_spl,
inference(contradiction_clause,[status(thm)],[f4545]) ).
fof(f4547,plain,
( sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4491,f2551]) ).
fof(f4548,plain,
sQ282_spl,
inference(contradiction_clause,[status(thm)],[f4547]) ).
fof(f4549,plain,
$false,
inference(sat_refutation,[status(thm)],[f4492,f4546,f4548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB073+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 07:46:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 0.85/0.81 % Refutation found
% 0.85/0.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.85/0.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.46/0.84 % Elapsed time: 0.465215 seconds
% 1.46/0.84 % CPU time: 2.973917 seconds
% 1.46/0.84 % Total memory used: 162.180 MB
% 1.46/0.84 % Net memory used: 159.217 MB
%------------------------------------------------------------------------------