%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB013+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 : n001.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 08:50:32 AM UTC 2026
% Result : Theorem 21.67s 6.94s
% Output : Refutation 21.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 155 ( 3 equ; 0 cnn)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 515 ( 2 ~; 0 |; 96 &; 378 @)
% ( 8 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 22 con; 0-3 aty)
% Number of variables : 82 ( 0 ^; 69 !; 13 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_foaf_knows_decl,type,
uri_foaf_knows: $i ).
thf(uri_ex_alice_decl,type,
uri_ex_alice: $i ).
thf(uri_ex_bob_decl,type,
uri_ex_bob: $i ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_owl_someValuesFrom_decl,type,
uri_owl_someValuesFrom: $i ).
thf(uri_owl_onProperty_decl,type,
uri_owl_onProperty: $i ).
thf(uri_rdfs_subClassOf_decl,type,
uri_rdfs_subClassOf: $i ).
thf(ic_decl,type,
ic: $i > $o ).
thf(uri_rdfs_subPropertyOf_decl,type,
uri_rdfs_subPropertyOf: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_owl_sameAs_decl,type,
uri_owl_sameAs: $i ).
thf(uri_rdf_first_decl,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_decl,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_decl,type,
uri_rdf_nil: $i ).
thf(uri_owl_propertyChainAxiom_decl,type,
uri_owl_propertyChainAxiom: $i ).
thf(uri_owl_inverseOf_decl,type,
uri_owl_inverseOf: $i ).
thf(uri_ex_Clique_decl,type,
uri_ex_Clique: $i ).
thf(uri_owl_Class_decl,type,
uri_owl_Class: $i ).
thf(uri_ex_sameCliqueAs_decl,type,
uri_ex_sameCliqueAs: $i ).
thf(uri_rdfs_range_decl,type,
uri_rdfs_range: $i ).
thf(uri_owl_Restriction_decl,type,
uri_owl_Restriction: $i ).
thf(uri_owl_ObjectProperty_decl,type,
uri_owl_ObjectProperty: $i ).
thf(uri_ex_JoesGang_decl,type,
uri_ex_JoesGang: $i ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_003) ).
thf(53,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
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(12,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(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(18,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
uri_ex_bob @ ( uri_ex_alice @ ( uri_foaf_knows @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).
thf(2,negated_conjecture,
~ ( uri_ex_bob @ ( uri_ex_alice @ ( uri_foaf_knows @ iext ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ( uri_ex_bob @ ( uri_ex_alice @ ( uri_foaf_knows @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(45,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)],[7]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( uri_ex_JoesGang @ ( uri_ex_bob @ ( uri_rdf_type @ iext ) ) )
& ( uri_ex_JoesGang @ ( uri_ex_alice @ ( uri_rdf_type @ iext ) ) )
& ( uri_ex_Clique @ ( uri_ex_JoesGang @ ( uri_rdf_type @ iext ) ) )
& ( uri_rdf_type @ ( B @ ( uri_owl_inverseOf @ iext ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_sameCliqueAs @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( uri_rdf_type @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( uri_foaf_knows @ ( uri_owl_propertyChainAxiom @ iext ) ) )
& ( uri_owl_ObjectProperty @ ( uri_foaf_knows @ ( uri_rdf_type @ iext ) ) )
& ( uri_ex_Clique @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
& ( uri_ex_sameCliqueAs @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_Clique @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( uri_ex_Clique @ ( uri_ex_sameCliqueAs @ ( uri_rdfs_range @ iext ) ) )
& ( uri_owl_sameAs @ ( uri_ex_sameCliqueAs @ ( uri_rdfs_subPropertyOf @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_Clique @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).
thf(80,plain,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( uri_ex_JoesGang @ ( uri_ex_bob @ ( uri_rdf_type @ iext ) ) )
& ( uri_ex_JoesGang @ ( uri_ex_alice @ ( uri_rdf_type @ iext ) ) )
& ( uri_ex_Clique @ ( uri_ex_JoesGang @ ( uri_rdf_type @ iext ) ) )
& ( uri_rdf_type @ ( B @ ( uri_owl_inverseOf @ iext ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_sameCliqueAs @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( uri_rdf_type @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( uri_foaf_knows @ ( uri_owl_propertyChainAxiom @ iext ) ) )
& ( uri_owl_ObjectProperty @ ( uri_foaf_knows @ ( uri_rdf_type @ iext ) ) )
& ( uri_ex_Clique @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
& ( uri_ex_sameCliqueAs @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_Clique @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( uri_ex_Clique @ ( uri_ex_sameCliqueAs @ ( uri_rdfs_range @ iext ) ) )
& ( uri_owl_sameAs @ ( uri_ex_sameCliqueAs @ ( uri_rdfs_subPropertyOf @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_Clique @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(35,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1993,plain,
$false,
inference(e,[status(thm)],[25,53,12,18,11,45,64,80,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB013+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.12 % 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
% 0.23/0.48 % Computer : n001.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sat Sep 26 11:49:42 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 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
% 1.51/1.40 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.03/1.70 % [INFO] Parsing done (292ms).
% 2.03/1.72 % [INFO] Running in sequential loop mode.
% 3.07/2.31 % [INFO] eprover registered as external prover.
% 3.07/2.33 % [INFO] Scanning for conjecture ...
% 3.23/2.47 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 3.38/2.51 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 3.59/2.62 % [INFO] Problem is first-order (TPTP FOF).
% 3.59/2.63 % [INFO] Type checking passed.
% 3.59/2.64 % [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 ...
% 21.67/6.93 % External prover 'e' found a proof!
% 21.67/6.93 % [INFO] Killing All external provers ...
% 21.67/6.94 % Time passed: 6217ms (effective reasoning time: 5204ms)
% 21.67/6.94 % 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)>
% 21.67/6.94 % Axioms used in derivation (8): owl_rdfsext_subpropertyof, owl_inv, owl_eqdis_sameas, owl_rdfsext_subclassof, rdfs_cext_def, owl_chain_003, testcase_premise_fullish_013_Cliques, owl_restrict_somevaluesfrom
% 21.67/6.94 % No. of inferences in proof: 20
% 21.67/6.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6217 ms resp. 5204 ms w/o parsing
% 21.67/7.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 21.67/7.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------