TSTP Solution File: SWB012+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 12:07:56 EDT 2023
% Result : Theorem 3.48s 1.86s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 27
% Syntax : Number of formulae : 35 ( 1 unt; 21 typ; 0 def)
% Number of atoms : 102 ( 0 equ; 0 cnn)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 343 ( 2 ~; 0 |; 68 &; 253 @)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 45 ( 0 ^; 37 !; 8 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_ex_name_type,type,
uri_ex_name: $i ).
thf(uri_owl_FunctionalProperty_type,type,
uri_owl_FunctionalProperty: $i ).
thf(uri_ex_alice_type,type,
uri_ex_alice: $i ).
thf(uri_foaf_Person_type,type,
uri_foaf_Person: $i ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_rdfs_domain_type,type,
uri_rdfs_domain: $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_intersectionOf_type,type,
uri_owl_intersectionOf: $i ).
thf(ic_type,type,
ic: $i > $o ).
thf(uri_owl_hasValue_type,type,
uri_owl_hasValue: $i ).
thf(uri_owl_onProperty_type,type,
uri_owl_onProperty: $i ).
thf(uri_owl_Class_type,type,
uri_owl_Class: $i ).
thf(uri_ex_PersonAttribute_type,type,
uri_ex_PersonAttribute: $i ).
thf(uri_owl_DatatypeProperty_type,type,
uri_owl_DatatypeProperty: $i ).
thf(uri_owl_Restriction_type,type,
uri_owl_Restriction: $i ).
thf(literal_plain_type,type,
literal_plain: $i > $i ).
thf(dat_str_alice_type,type,
dat_str_alice: $i ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdf_type @ A @ B )
<=> ( icext @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(10,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(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasValue @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ( iext @ B @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
thf(35,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasValue @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,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_intersectionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( icext @ A @ H )
<=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
thf(18,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_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
? [A: $i,B: $i,C: $i,D: $i] :
( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
& ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ A )
& ( iext @ uri_rdf_first @ A @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_rest @ A @ B )
& ( iext @ uri_rdf_first @ B @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_rest @ B @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ D @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ D @ uri_rdfs_domain )
& ( iext @ uri_owl_hasValue @ D @ uri_foaf_Person )
& ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
& ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
thf(40,plain,
? [A: $i,B: $i,C: $i,D: $i] :
( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
& ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ A )
& ( iext @ uri_rdf_first @ A @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_rest @ A @ B )
& ( iext @ uri_rdf_first @ B @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_rest @ B @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ D @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ D @ uri_rdfs_domain )
& ( iext @ uri_owl_hasValue @ D @ uri_foaf_Person )
& ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
& ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
thf(2,negated_conjecture,
~ ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(15,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(55,plain,
$false,
inference(e,[status(thm)],[10,35,18,40,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 20:52:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.94/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/1.00 % [INFO] Parsing done (130ms).
% 1.32/1.01 % [INFO] Running in sequential loop mode.
% 1.61/1.20 % [INFO] eprover registered as external prover.
% 1.61/1.20 % [INFO] cvc4 registered as external prover.
% 1.61/1.21 % [INFO] Scanning for conjecture ...
% 1.82/1.26 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.92/1.28 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.92/1.32 % [INFO] Problem is first-order (TPTP FOF).
% 1.92/1.32 % [INFO] Type checking passed.
% 1.92/1.32 % [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 ...
% 3.48/1.85 % External prover 'e' found a proof!
% 3.48/1.85 % [INFO] Killing All external provers ...
% 3.48/1.85 % Time passed: 1337ms (effective reasoning time: 843ms)
% 3.48/1.85 % 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)>
% 3.48/1.85 % Axioms used in derivation (5): testcase_premise_fullish_012_Template_Class, rdfs_domain_main, owl_bool_intersectionof_class_003, owl_restrict_hasvalue, rdfs_cext_def
% 3.48/1.85 % No. of inferences in proof: 14
% 3.48/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1337 ms resp. 843 ms w/o parsing
% 3.66/1.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.66/1.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------