%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:37:01 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 14 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 166 ( 73 ~; 63 |; 24 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( ir(X)
<=> icext(uri_rdfs_Resource,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [S,P,O] :
( ip(P)
| ~ iext(P,S,O) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [P] :
( ip(P)
| ! [S,O] : ~ iext(P,S,O) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ip(X0)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [P] :
( ( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) )
& ( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
( ! [P] :
( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) )
& ! [P] :
( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f18,plain,
! [X0] :
( ~ ip(X0)
| iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,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)],[f4]) ).
fof(f20,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)],[f19]) ).
fof(f22,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f23,plain,
! [X] :
( ( ~ icext(uri_rdfs_Resource,X)
| ir(X) )
& ( icext(uri_rdfs_Resource,X)
| ~ ir(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f24,plain,
( ! [X] :
( ~ icext(uri_rdfs_Resource,X)
| ir(X) )
& ! [X] :
( icext(uri_rdfs_Resource,X)
| ~ ir(X) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0] :
( icext(uri_rdfs_Resource,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f27,plain,
! [X] :
( ( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
( ! [X] :
( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ! [X] :
( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f30,plain,
! [X0] :
( ~ ir(X0)
| icext(uri_owl_Thing,X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f31,plain,
! [X] :
( ( ~ ip(X)
| icext(uri_owl_ObjectProperty,X) )
& ( ip(X)
| ~ icext(uri_owl_ObjectProperty,X) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
( ! [X] :
( ~ ip(X)
| icext(uri_owl_ObjectProperty,X) )
& ! [X] :
( ip(X)
| ~ icext(uri_owl_ObjectProperty,X) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f34,plain,
! [X0] :
( ~ ip(X0)
| icext(uri_owl_ObjectProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f36,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
! [X0] : icext(uri_rdfs_Resource,X0),
inference(forward_subsumption_resolution,[status(thm)],[f25,f11]) ).
fof(f39,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(forward_subsumption_resolution,[status(thm)],[f30,f11]) ).
fof(f42,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[f14,f37]) ).
fof(f43,plain,
icext(uri_owl_ObjectProperty,uri_ex_p),
inference(resolution,[status(thm)],[f42,f34]) ).
fof(f44,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(resolution,[status(thm)],[f42,f18]) ).
fof(f45,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(backward_subsumption_resolution,[status(thm)],[f36,f44]) ).
fof(f46,plain,
! [X0] : iext(uri_rdf_type,X0,uri_owl_Thing),
inference(resolution,[status(thm)],[f22,f39]) ).
fof(f47,plain,
! [X0] : iext(uri_rdf_type,X0,uri_rdfs_Resource),
inference(resolution,[status(thm)],[f22,f38]) ).
fof(f48,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(backward_subsumption_resolution,[status(thm)],[f45,f46]) ).
fof(f49,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f47]) ).
fof(f50,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(resolution,[status(thm)],[f46,f49]) ).
fof(f53,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(forward_subsumption_resolution,[status(thm)],[f50,f46]) ).
fof(f57,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(resolution,[status(thm)],[f43,f22]) ).
fof(f58,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(backward_subsumption_resolution,[status(thm)],[f53,f57]) ).
fof(f59,plain,
~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource),
inference(forward_subsumption_resolution,[status(thm)],[f58,f47]) ).
fof(f60,plain,
$false,
inference(resolution,[status(thm)],[f59,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:37:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.052128 seconds
% 0.09/0.42 % CPU time: 0.139961 seconds
% 0.09/0.42 % Total memory used: 55.882 MB
% 0.09/0.42 % Net memory used: 55.427 MB
%------------------------------------------------------------------------------