TSTP Solution File: SWB013+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 : Fri May 19 12:07:57 EDT 2023
% Result : Theorem 3.66s 1.97s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 34
% Syntax : Number of formulae : 45 ( 4 unt; 25 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 : 7 ( 7 >; 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_type,type,
iext: $i > $i > $i > $o ).
thf(uri_foaf_knows_type,type,
uri_foaf_knows: $i ).
thf(uri_ex_alice_type,type,
uri_ex_alice: $i ).
thf(uri_ex_bob_type,type,
uri_ex_bob: $i ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_owl_someValuesFrom_type,type,
uri_owl_someValuesFrom: $i ).
thf(uri_owl_onProperty_type,type,
uri_owl_onProperty: $i ).
thf(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
thf(ic_type,type,
ic: $i > $o ).
thf(uri_rdfs_subPropertyOf_type,type,
uri_rdfs_subPropertyOf: $i ).
thf(ip_type,type,
ip: $i > $o ).
thf(uri_owl_sameAs_type,type,
uri_owl_sameAs: $i ).
thf(uri_rdf_first_type,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_type,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_type,type,
uri_rdf_nil: $i ).
thf(uri_owl_propertyChainAxiom_type,type,
uri_owl_propertyChainAxiom: $i ).
thf(uri_owl_inverseOf_type,type,
uri_owl_inverseOf: $i ).
thf(uri_ex_Clique_type,type,
uri_ex_Clique: $i ).
thf(uri_owl_Class_type,type,
uri_owl_Class: $i ).
thf(uri_ex_sameCliqueAs_type,type,
uri_ex_sameCliqueAs: $i ).
thf(uri_rdfs_range_type,type,
uri_rdfs_range: $i ).
thf(uri_owl_Restriction_type,type,
uri_owl_Restriction: $i ).
thf(uri_owl_ObjectProperty_type,type,
uri_owl_ObjectProperty: $i ).
thf(uri_ex_JoesGang_type,type,
uri_ex_JoesGang: $i ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_sameAs @ A @ B )
<=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(41,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_sameAs @ A @ B )
=> ( A = B ) )
& ( ( A = B )
=> ( iext @ uri_owl_sameAs @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,axiom,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( iext @ uri_rdf_type @ uri_ex_Clique @ uri_owl_Class )
& ( iext @ uri_rdfs_subPropertyOf @ uri_ex_sameCliqueAs @ uri_owl_sameAs )
& ( iext @ uri_rdfs_range @ uri_ex_sameCliqueAs @ uri_ex_Clique )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_Clique @ A )
& ( iext @ uri_rdf_type @ A @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ A @ uri_ex_sameCliqueAs )
& ( iext @ uri_owl_someValuesFrom @ A @ uri_ex_Clique )
& ( iext @ uri_rdf_type @ uri_foaf_knows @ uri_owl_ObjectProperty )
& ( iext @ uri_owl_propertyChainAxiom @ uri_foaf_knows @ C )
& ( iext @ uri_rdf_first @ C @ uri_rdf_type )
& ( iext @ uri_rdf_rest @ C @ D )
& ( iext @ uri_rdf_first @ D @ uri_ex_sameCliqueAs )
& ( iext @ uri_rdf_rest @ D @ E )
& ( iext @ uri_rdf_first @ E @ B )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ B @ uri_rdf_type )
& ( iext @ uri_rdf_type @ uri_ex_JoesGang @ uri_ex_Clique )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_ex_JoesGang )
& ( iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_JoesGang ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).
thf(73,plain,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( iext @ uri_rdf_type @ uri_ex_Clique @ uri_owl_Class )
& ( iext @ uri_rdfs_subPropertyOf @ uri_ex_sameCliqueAs @ uri_owl_sameAs )
& ( iext @ uri_rdfs_range @ uri_ex_sameCliqueAs @ uri_ex_Clique )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_Clique @ A )
& ( iext @ uri_rdf_type @ A @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ A @ uri_ex_sameCliqueAs )
& ( iext @ uri_owl_someValuesFrom @ A @ uri_ex_Clique )
& ( iext @ uri_rdf_type @ uri_foaf_knows @ uri_owl_ObjectProperty )
& ( iext @ uri_owl_propertyChainAxiom @ uri_foaf_knows @ C )
& ( iext @ uri_rdf_first @ C @ uri_rdf_type )
& ( iext @ uri_rdf_rest @ C @ D )
& ( iext @ uri_rdf_first @ D @ uri_ex_sameCliqueAs )
& ( iext @ uri_rdf_rest @ D @ E )
& ( iext @ uri_rdf_first @ E @ B )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ B @ uri_rdf_type )
& ( iext @ uri_rdf_type @ uri_ex_JoesGang @ uri_ex_Clique )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_ex_JoesGang )
& ( iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_JoesGang ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdf_type @ A @ B )
<=> ( icext @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(12,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_type @ A @ B )
=> ( icext @ B @ A ) )
& ( ( icext @ B @ A )
=> ( iext @ uri_rdf_type @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
<=> ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( iext @ C @ H @ I )
& ( iext @ E @ I @ J )
& ( iext @ G @ J @ K ) )
=> ( iext @ A @ H @ K ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_003) ).
thf(48,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
=> ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( iext @ C @ H @ I )
& ( iext @ E @ I @ J )
& ( iext @ G @ J @ K ) )
=> ( iext @ A @ H @ K ) ) ) )
& ( ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( iext @ C @ H @ I )
& ( iext @ E @ I @ J )
& ( iext @ G @ J @ K ) )
=> ( iext @ A @ H @ K ) ) )
=> ( iext @ uri_owl_propertyChainAxiom @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
iext @ uri_foaf_knows @ uri_ex_alice @ uri_ex_bob,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).
thf(2,negated_conjecture,
~ ( iext @ uri_foaf_knows @ uri_ex_alice @ uri_ex_bob ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ( iext @ uri_foaf_knows @ uri_ex_alice @ uri_ex_bob ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(23,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_inverseOf @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
<=> ( iext @ B @ D @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
thf(58,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_inverseOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( ( iext @ A @ C @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( iext @ A @ C @ D ) ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( ( iext @ A @ C @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( iext @ A @ C @ D ) ) ) )
=> ( iext @ uri_owl_inverseOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(32,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(17,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(94,plain,
$false,
inference(e,[status(thm)],[41,73,12,48,11,23,58,32,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.17 % Command : run_Leo-III %s %d
% 0.15/0.39 % Computer : n018.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Thu May 18 21:05:43 EDT 2023
% 0.15/0.39 % CPUTime :
% 0.77/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.12/0.97 % [INFO] Parsing done (125ms).
% 1.12/0.98 % [INFO] Running in sequential loop mode.
% 1.53/1.20 % [INFO] eprover registered as external prover.
% 1.53/1.20 % [INFO] cvc4 registered as external prover.
% 1.63/1.21 % [INFO] Scanning for conjecture ...
% 1.72/1.26 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ...
% 1.72/1.28 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 2.02/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 2.02/1.34 % [INFO] Type checking passed.
% 2.02/1.35 % [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 ...
% 3.66/1.96 % External prover 'e' found a proof!
% 3.66/1.96 % [INFO] Killing All external provers ...
% 3.66/1.96 % Time passed: 1432ms (effective reasoning time: 980ms)
% 3.66/1.97 % 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)>
% 3.66/1.97 % 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
% 3.66/1.97 % No. of inferences in proof: 20
% 3.66/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1432 ms resp. 980 ms w/o parsing
% 3.94/2.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.94/2.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------