%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB047+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 : n014.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 02:37:15 PM UTC 2026
% Result : Theorem 82.45s 10.84s
% Output : CNFRefutation 82.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 8 unt; 0 def)
% Number of atoms : 216 ( 25 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 263 ( 100 ~; 103 |; 50 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 141 ( 125 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f391,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) )
& ip(P2)
& ip(P1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f393,axiom,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( ( iext(P,X,Y2)
& iext(P,X,Y1) )
=> Y1 = Y2 )
& ip(P) ) ),
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_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty)
& iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f562,plain,
! [S,P,O] :
( ip(P)
| ~ iext(P,S,O) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f563,plain,
! [P] :
( ip(P)
| ! [S,O] : ~ iext(P,S,O) ),
inference(miniscoping,[status(thm)],[f562]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ~ iext(X0,X1,X2)
| ip(X0) ),
inference(cnf_transformation,[status(thm)],[f563]) ).
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(f595,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f1999,plain,
! [P1,P2] :
( ( ? [X,Y] :
( ( iext(P2,Y,X)
| iext(P1,X,Y) )
& ( ~ iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ( ( ! [X,Y] :
( ( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ( iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f2000,plain,
( ! [P1,P2] :
( ? [X,Y] :
( ( iext(P2,Y,X)
| iext(P1,X,Y) )
& ( ~ iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ! [X,Y] :
( iext(P2,Y,X)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(miniscoping,[status(thm)],[f1999]) ).
fof(f2001,plain,
( ! [P1,P2] :
( ( ( iext(P2,sK167_skl(P2,P1),sK166_skl(P2,P1))
| iext(P1,sK166_skl(P2,P1),sK167_skl(P2,P1)) )
& ( ~ iext(P2,sK167_skl(P2,P1),sK166_skl(P2,P1))
| ~ iext(P1,sK166_skl(P2,P1),sK167_skl(P2,P1)) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ! [X,Y] :
( iext(P2,Y,X)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK166_skl,sK167_skl]),skolemize(X,sK166_skl(P2,P1)),skolemize(Y,sK167_skl(P2,P1))],[f2000]) ).
fof(f2002,plain,
! [X0,X1] :
( ip(X0)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2001]) ).
fof(f2004,plain,
! [X0,X1,X2,X3] :
( ~ iext(X0,X3,X2)
| iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2001]) ).
fof(f2016,plain,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) ) ),
inference(pre_NNF_transformation,[status(thm)],[f393]) ).
fof(f2017,plain,
! [P] :
( ( ? [X,Y1,Y2] :
( Y1 != Y2
& iext(P,X,Y2)
& iext(P,X,Y1) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ( ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(NNF_transformation,[status(thm)],[f2016]) ).
fof(f2018,plain,
( ! [P] :
( ? [Y1,Y2] :
( Y1 != Y2
& ? [X] :
( iext(P,X,Y2)
& iext(P,X,Y1) ) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ! [P] :
( ( ! [Y1,Y2] :
( Y1 = Y2
| ! [X] :
( ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) ) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(miniscoping,[status(thm)],[f2017]) ).
fof(f2019,plain,
( ! [P] :
( ( sK170_skl(P) != sK171_skl(P)
& iext(P,sK172_skl(P),sK171_skl(P))
& iext(P,sK172_skl(P),sK170_skl(P)) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ! [P] :
( ( ! [Y1,Y2] :
( Y1 = Y2
| ! [X] :
( ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) ) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK170_skl,sK171_skl,sK172_skl]),skolemize(Y1,sK170_skl(P)),skolemize(Y2,sK171_skl(P)),skolemize(X,sK172_skl(P))],[f2018]) ).
fof(f2021,plain,
! [X0,X1,X2,X3] :
( ~ icext(uri_owl_FunctionalProperty,X0)
| X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2019]) ).
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(f2031,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| iext(X0,sK173_skl(X0),sK175_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f2028]) ).
fof(f2032,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| iext(X0,sK174_skl(X0),sK175_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f2028]) ).
fof(f2033,plain,
! [X0] :
( ~ ip(X0)
| sK174_skl(X0) != sK173_skl(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f2028]) ).
fof(f2405,plain,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2407,plain,
iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f3251,plain,
! [X0] :
( ~ ip(X0)
| iext(uri_rdf_type,X0,uri_owl_InverseFunctionalProperty)
| iext(X0,sK173_skl(X0),sK175_skl(X0)) ),
inference(resolution,[status(thm)],[f2031,f595]) ).
fof(f3345,plain,
( iext(uri_ex_p2,sK173_skl(uri_ex_p2),sK175_skl(uri_ex_p2))
| ~ ip(uri_ex_p2) ),
inference(resolution,[status(thm)],[f3251,f2405]) ).
fof(f3370,plain,
! [X0,X1] :
( iext(uri_ex_p1,X1,X0)
| ~ iext(uri_ex_p2,X0,X1) ),
inference(resolution,[status(thm)],[f2004,f2406]) ).
fof(f4380,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ iext(uri_rdf_type,X0,uri_owl_FunctionalProperty)
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) ),
inference(resolution,[status(thm)],[f2021,f594]) ).
fof(f4516,plain,
! [X0,X1,X2] :
( X2 = X1
| ~ iext(uri_ex_p1,X0,X2)
| ~ iext(uri_ex_p1,X0,X1) ),
inference(resolution,[status(thm)],[f4380,f2407]) ).
fof(f4519,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ iext(uri_ex_p2,X2,X0)
| ~ iext(uri_ex_p1,X0,X1) ),
inference(resolution,[status(thm)],[f4516,f3370]) ).
fof(f4522,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ iext(uri_ex_p2,X2,X1)
| ~ iext(uri_ex_p2,X0,X1) ),
inference(resolution,[status(thm)],[f4519,f3370]) ).
fof(f4525,plain,
! [X0] :
( ~ ip(uri_ex_p2)
| X0 = sK173_skl(uri_ex_p2)
| ~ iext(uri_ex_p2,X0,sK175_skl(uri_ex_p2)) ),
inference(resolution,[status(thm)],[f4522,f3345]) ).
fof(f4529,plain,
! [X0] :
( X0 = sK173_skl(uri_ex_p2)
| ~ iext(uri_ex_p2,X0,sK175_skl(uri_ex_p2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4525,f564]) ).
fof(f7076,plain,
! [X0] :
( ~ ip(X0)
| iext(X0,sK174_skl(X0),sK175_skl(X0))
| iext(uri_rdf_type,X0,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[f2032,f595]) ).
fof(f7112,plain,
( ~ ip(uri_ex_p2)
| iext(uri_ex_p2,sK174_skl(uri_ex_p2),sK175_skl(uri_ex_p2)) ),
inference(resolution,[status(thm)],[f7076,f2405]) ).
fof(f7187,plain,
( sK173_skl(uri_ex_p2) = sK174_skl(uri_ex_p2)
| ~ ip(uri_ex_p2) ),
inference(resolution,[status(thm)],[f7112,f4529]) ).
fof(f7190,plain,
( ~ ip(uri_ex_p2)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| ~ ip(uri_ex_p2) ),
inference(resolution,[status(thm)],[f7187,f2033]) ).
fof(f7191,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| ~ ip(uri_ex_p2) ),
inference(duplicate_literals_removal,[status(thm)],[f7190]) ).
fof(f7195,plain,
( iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty)
| ~ ip(uri_ex_p2) ),
inference(resolution,[status(thm)],[f7191,f595]) ).
fof(f7196,plain,
~ ip(uri_ex_p2),
inference(forward_subsumption_resolution,[status(thm)],[f7195,f2405]) ).
fof(f7215,plain,
! [X0] : ~ iext(uri_owl_inverseOf,uri_ex_p2,X0),
inference(resolution,[status(thm)],[f7196,f2002]) ).
fof(f7440,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f2406,f7215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB047+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:43:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 82.45/10.84 % Refutation found
% 82.45/10.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 82.45/10.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 82.45/10.91 % Elapsed time: 10.538330 seconds
% 82.45/10.91 % CPU time: 83.083197 seconds
% 82.45/10.91 % Total memory used: 344.356 MB
% 82.45/10.91 % Net memory used: 324.061 MB
%------------------------------------------------------------------------------