TSTP Solution File: SWB008+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 0.13s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 88 ( 18 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 96 ( 36 ~; 33 |; 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 : 57 (; 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,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(f4,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,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(f7,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)],[f1]) ).
fof(f8,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)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f11,plain,
! [X,Y] :
( ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y )
& ( iext(uri_owl_sameAs,X,Y)
| X != Y ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f12,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)],[f11]) ).
fof(f14,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f15,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)],[f3]) ).
fof(f16,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)],[f15]) ).
fof(f17,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)],[f16]) ).
fof(f18,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_0(P),sk0_2(P))
& iext(P,sk0_1(P),sk0_2(P))
& sk0_0(P) != sk0_1(P) ) ) ),
inference(skolemization,[status(esa)],[f17]) ).
fof(f20,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)],[f18]) ).
fof(f24,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f28,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f14]) ).
fof(f31,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(resolution,[status(thm)],[f26,f9]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,X1)
| ~ iext(uri_foaf_mbox_sha1sum,X2,X1)
| X0 = X2 ),
inference(resolution,[status(thm)],[f20,f31]) ).
fof(f34,plain,
! [X0] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
| X0 = uri_ex_robert ),
inference(resolution,[status(thm)],[f33,f28]) ).
fof(f36,plain,
uri_ex_bob = uri_ex_robert,
inference(resolution,[status(thm)],[f34,f27]) ).
fof(f40,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(backward_demodulation,[status(thm)],[f36,f24]) ).
fof(f41,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f40,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 10:40:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58 % Elapsed time: 0.024664 seconds
% 0.20/0.58 % CPU time: 0.019713 seconds
% 0.20/0.58 % Memory used: 2.873 MB
%------------------------------------------------------------------------------