TSTP Solution File: SWB008+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB008+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:38:31 EDT 2023
% Result : Theorem 1.03s 0.56s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 91 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 102 ( 39 ~; 36 |; 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 : 61 (; 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f354,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f394,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox2/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_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f592,plain,
! [X,C] :
( ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) )
& ( iext(uri_rdf_type,X,C)
| ~ icext(C,X) ) ),
inference(NNF_transformation,[status(esa)],[f25]) ).
fof(f593,plain,
( ! [X,C] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) )
& ! [X,C] :
( iext(uri_rdf_type,X,C)
| ~ icext(C,X) ) ),
inference(miniscoping,[status(esa)],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f593]) ).
fof(f1832,plain,
! [X,Y] :
( ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y )
& ( iext(uri_owl_sameAs,X,Y)
| X != Y ) ),
inference(NNF_transformation,[status(esa)],[f354]) ).
fof(f1833,plain,
( ! [X,Y] :
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y )
& ! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
| X != Y ) ),
inference(miniscoping,[status(esa)],[f1832]) ).
fof(f1835,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f1833]) ).
fof(f2025,plain,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1,X2,Y] :
( ~ iext(P,X1,Y)
| ~ iext(P,X2,Y)
| X1 = X2 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f394]) ).
fof(f2026,plain,
! [P] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1,X2,Y] :
( ~ iext(P,X1,Y)
| ~ iext(P,X2,Y)
| X1 = X2 ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ? [X1,X2,Y] :
( iext(P,X1,Y)
& iext(P,X2,Y)
& X1 != X2 ) ) ),
inference(NNF_transformation,[status(esa)],[f2025]) ).
fof(f2027,plain,
( ! [P] :
( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1,X2] :
( ! [Y] :
( ~ iext(P,X1,Y)
| ~ iext(P,X2,Y) )
| X1 = X2 ) ) )
& ! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ? [X1,X2] :
( ? [Y] :
( iext(P,X1,Y)
& iext(P,X2,Y) )
& X1 != X2 ) ) ),
inference(miniscoping,[status(esa)],[f2026]) ).
fof(f2028,plain,
( ! [P] :
( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1,X2] :
( ! [Y] :
( ~ iext(P,X1,Y)
| ~ iext(P,X2,Y) )
| X1 = X2 ) ) )
& ! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ( iext(P,sk0_173(P),sk0_175(P))
& iext(P,sk0_174(P),sk0_175(P))
& sk0_173(P) != sk0_174(P) ) ) ),
inference(skolemization,[status(esa)],[f2027]) ).
fof(f2030,plain,
! [X0,X1,X2,X3] :
( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X3,X2)
| X1 = X3 ),
inference(cnf_transformation,[status(esa)],[f2028]) ).
fof(f2405,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnf_transformation,[status(esa)],[f560]) ).
fof(f2407,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(esa)],[f561]) ).
fof(f2408,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[status(esa)],[f561]) ).
fof(f2409,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[status(esa)],[f561]) ).
fof(f2505,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f1835]) ).
fof(f2574,plain,
! [X0,X1,X2,X3] :
( ~ iext(X0,X1,X2)
| ~ iext(X0,X3,X2)
| X1 = X3
| ~ iext(uri_rdf_type,X0,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[f2030,f594]) ).
fof(f2587,plain,
! [X0,X1,X2] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,X1)
| ~ iext(uri_foaf_mbox_sha1sum,X2,X1)
| X0 = X2 ),
inference(resolution,[status(thm)],[f2574,f2407]) ).
fof(f2589,plain,
! [X0] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
| X0 = uri_ex_robert ),
inference(resolution,[status(thm)],[f2587,f2409]) ).
fof(f2703,plain,
uri_ex_bob = uri_ex_robert,
inference(resolution,[status(thm)],[f2589,f2408]) ).
fof(f2706,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(backward_demodulation,[status(thm)],[f2703,f2405]) ).
fof(f2707,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2706,f2505]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWB008+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:43:16 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.34 % Drodi V3.5.1
% 1.03/0.56 % Refutation found
% 1.03/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.03/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.03/0.58 % Elapsed time: 0.276749 seconds
% 1.03/0.58 % CPU time: 1.262126 seconds
% 1.03/0.58 % Memory used: 103.880 MB
%------------------------------------------------------------------------------