%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n020.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 : Sun Sep 27 08:50:30 AM UTC 2026
% Result : Theorem 3.43s 2.35s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 6 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 117 ( 2 ~; 0 |; 15 &; 88 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 19 ( 0 ^; 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_owl_sameAs_decl,type,
uri_owl_sameAs: $i ).
thf(uri_ex_bob_decl,type,
uri_ex_bob: $i ).
thf(uri_ex_robert_decl,type,
uri_ex_robert: $i ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_owl_InverseFunctionalProperty_decl,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_foaf_mbox_sha1sum_decl,type,
uri_foaf_mbox_sha1sum: $i ).
thf(uri_owl_DatatypeProperty_decl,type,
uri_owl_DatatypeProperty: $i ).
thf(literal_plain_decl,type,
literal_plain: $i > $i ).
thf(dat_str_xyz_decl,type,
dat_str_xyz: $i ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(14,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(22,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) ) )
& ( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
uri_ex_robert @ ( uri_ex_bob @ ( uri_owl_sameAs @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
thf(2,negated_conjecture,
~ ( uri_ex_robert @ ( uri_ex_bob @ ( uri_owl_sameAs @ iext ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( uri_ex_robert @ ( uri_ex_bob @ ( uri_owl_sameAs @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
( ( dat_str_xyz @ literal_plain @ ( uri_ex_robert @ ( uri_foaf_mbox_sha1sum @ iext ) ) )
& ( dat_str_xyz @ literal_plain @ ( uri_ex_bob @ ( uri_foaf_mbox_sha1sum @ iext ) ) )
& ( uri_owl_InverseFunctionalProperty @ ( uri_foaf_mbox_sha1sum @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_DatatypeProperty @ ( uri_foaf_mbox_sha1sum @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
thf(35,plain,
( ( dat_str_xyz @ literal_plain @ ( uri_ex_robert @ ( uri_foaf_mbox_sha1sum @ iext ) ) )
& ( dat_str_xyz @ literal_plain @ ( uri_ex_bob @ ( uri_foaf_mbox_sha1sum @ iext ) ) )
& ( uri_owl_InverseFunctionalProperty @ ( uri_foaf_mbox_sha1sum @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_DatatypeProperty @ ( uri_foaf_mbox_sha1sum @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(8,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ icext ) )
=> ( B @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ( B @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(44,plain,
$false,
inference(e,[status(thm)],[14,22,7,35,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/0.40 % Computer : n020.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 11:42:18 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.83/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.15 % [INFO] Parsing done (172ms).
% 1.25/1.16 % [INFO] Running in sequential loop mode.
% 1.76/1.57 % [INFO] eprover registered as external prover.
% 1.76/1.58 % [INFO] Scanning for conjecture ...
% 1.97/1.66 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.97/1.69 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.11/1.72 % [INFO] Problem is first-order (TPTP FOF).
% 2.11/1.73 % [INFO] Type checking passed.
% 2.11/1.73 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.43/2.35 % External prover 'e' found a proof!
% 3.43/2.35 % [INFO] Killing All external provers ...
% 3.43/2.35 % Time passed: 1801ms (effective reasoning time: 1177ms)
% 3.43/2.35 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.43/2.35 % Axioms used in derivation (4): owl_eqdis_sameas, owl_char_inversefunctional, testcase_premise_fullish_008_Inverse_Functional_Data_Properties, rdfs_cext_def
% 3.43/2.35 % No. of inferences in proof: 12
% 3.43/2.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1801 ms resp. 1177 ms w/o parsing
% 3.66/2.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.66/2.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------