%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB030+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 : n006.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 02:37:12 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 124 ( 51 ~; 43 |; 23 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 66 ( 65 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Z,P,V] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_hasSelf,Z,V) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
? [BNODE_x] :
( iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,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)],[f1]) ).
fof(f6,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)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [Z,P,V] :
( ! [X] :
( icext(Z,X)
<=> iext(P,X,X) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasSelf,Z,V) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [Z,P,V] :
( ! [X] :
( ( ~ iext(P,X,X)
| icext(Z,X) )
& ( iext(P,X,X)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasSelf,Z,V) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [Z,P] :
( ( ! [X] :
( ~ iext(P,X,X)
| icext(Z,X) )
& ! [X] :
( iext(P,X,X)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ! [V] : ~ iext(uri_owl_hasSelf,Z,V) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,X3)
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_hasSelf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( ~ iext(X2,X3,X3)
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_hasSelf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f14,plain,
! [Z,C] :
( ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [Z,C] :
( ( ! [X] :
( icext(C,X)
| icext(Z,X) )
& ! [X] :
( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f20,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f21,plain,
( iext(uri_owl_hasSelf,sK0_skl,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,sK0_skl,uri_rdf_type)
& iext(uri_rdf_type,sK0_skl,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,sK0_skl)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(BNODE_x,sK0_skl)],[f4]) ).
fof(f23,plain,
iext(uri_owl_complementOf,uri_ex_c,sK0_skl),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f25,plain,
iext(uri_owl_onProperty,sK0_skl,uri_rdf_type),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f26,plain,
iext(uri_owl_hasSelf,sK0_skl,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f27,plain,
! [X0] :
( icext(sK0_skl,X0)
| icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[f23,f20]) ).
fof(f28,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X1,X1)
| icext(sK0_skl,X1)
| ~ iext(uri_owl_hasSelf,sK0_skl,X0) ),
inference(resolution,[status(thm)],[f25,f13]) ).
fof(f29,plain,
! [X0,X1] :
( iext(uri_rdf_type,X1,X1)
| ~ icext(sK0_skl,X1)
| ~ iext(uri_owl_hasSelf,sK0_skl,X0) ),
inference(resolution,[status(thm)],[f25,f12]) ).
fof(f30,plain,
! [X0] :
( ~ icext(sK0_skl,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[f19,f23]) ).
fof(f31,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ icext(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f30,f7]) ).
fof(f33,plain,
! [X0] :
( iext(uri_rdf_type,X0,X0)
| ~ icext(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f29,f26]) ).
fof(f34,plain,
( ~ icext(sK0_skl,uri_ex_c)
| ~ icext(sK0_skl,uri_ex_c) ),
inference(resolution,[status(thm)],[f33,f31]) ).
fof(f35,plain,
~ icext(sK0_skl,uri_ex_c),
inference(duplicate_literals_removal,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] :
( ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
| ~ iext(uri_owl_hasSelf,sK0_skl,X0) ),
inference(resolution,[status(thm)],[f35,f28]) ).
fof(f37,plain,
icext(uri_ex_c,uri_ex_c),
inference(resolution,[status(thm)],[f35,f27]) ).
fof(f40,plain,
~ iext(uri_rdf_type,uri_ex_c,uri_ex_c),
inference(resolution,[status(thm)],[f36,f26]) ).
fof(f43,plain,
~ icext(uri_ex_c,uri_ex_c),
inference(resolution,[status(thm)],[f40,f8]) ).
fof(f44,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f43,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n006.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 07:42:27 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.47 % Elapsed time: 0.040864 seconds
% 0.15/0.47 % CPU time: 0.099247 seconds
% 0.15/0.47 % Total memory used: 1.433 MB
% 0.15/0.47 % Net memory used: 1.383 MB
%------------------------------------------------------------------------------