%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 : Fri Sep 25 03:03:42 PM UTC 2026
% Result : Theorem 5.97s 11.44s
% Output : Proof 5.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 22 unt; 0 def)
% Number of atoms : 87 ( 25 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 79 ( 29 ~; 23 |; 23 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-4 aty)
% Number of variables : 43 ( 0 sgn 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f4_nnf,plain,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c13,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi12,axiom,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h0,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) = true,
inference(hyper_resolution,[status(thm)],[hi12]) ).
fof(f0,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f0_nnf,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)],[f0]) ).
fof(f0_sk,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(iext(uri_rdf_type,X0,X1),true,icext(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(c11,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi10,axiom,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h1,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi10]) ).
fof(f2,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',owl_char_inversefunctional) ).
fof(f2_nnf,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)],[f2]) ).
fof(f2_sk,plain,
! [P,X1,Y,X2] :
( ( ( sk0(P) != sk1(P)
& iext(P,sk1(P),sk2(P))
& iext(P,sk0(P),sk2(P)) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ( ( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f2_nnf]) ).
cnf(c5,plain,
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3)
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi5,axiom,
ifeq(icext(uri_owl_InverseFunctionalProperty,X0),true,ifeq(iext(X0,X1,X2),true,ifeq(iext(X0,X3,X2),true,X1,X3),X3),X3) = X3,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(c12,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi11,axiom,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h2,plain,
uri_ex_bob = uri_ex_robert,
inference(hyper_resolution,[status(thm)],[hi5,h1,hi11,h0]) ).
fof(f1,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f1_nnf,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c3,plain,
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi3,axiom,
ifeq(X0,X1,iext(uri_owl_sameAs,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t5,plain,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert) = true,
inference(hyper_resolution,[status(thm)],[hi3,h2]) ).
cnf(t38,plain,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert) = true,
inference(orient,[status(thm)],[t5]) ).
fof(f3,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse__h423b882b1cc61c0a) ).
fof(f3_neg,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c9,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert) != true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t38]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/10.59 % Computer : n026.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Thu Sep 24 15:26:05 UTC 2026
% 0.11/10.59 % CPUTime :
% 0.11/10.59 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.97/11.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.97/11.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------