TSTP Solution File: SWB024+2 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 12:08:05 EDT 2023
% Result : Theorem 3.14s 1.70s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of formulae : 31 ( 1 unt; 17 typ; 0 def)
% Number of atoms : 69 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 236 ( 2 ~; 0 |; 35 &; 179 @)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 13 con; 0-3 aty)
% Number of variables : 36 ( 0 ^; 28 !; 8 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_hasAncestor_type,type,
uri_ex_hasAncestor: $i ).
thf(uri_ex_bob_type,type,
uri_ex_bob: $i ).
thf(uri_ex_alice_type,type,
uri_ex_alice: $i ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_owl_minCardinality_type,type,
uri_owl_minCardinality: $i ).
thf(literal_typed_type,type,
literal_typed: $i > $i > $i ).
thf(dat_str_1_type,type,
dat_str_1: $i ).
thf(uri_xsd_nonNegativeInteger_type,type,
uri_xsd_nonNegativeInteger: $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_owl_TransitiveProperty_type,type,
uri_owl_TransitiveProperty: $i ).
thf(ip_type,type,
ip: $i > $o ).
thf(uri_ex_Person_type,type,
uri_ex_Person: $i ).
thf(uri_owl_Restriction_type,type,
uri_owl_Restriction: $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(7,axiom,
? [A: $i] :
( ( iext @ uri_rdf_type @ uri_ex_hasAncestor @ uri_owl_TransitiveProperty )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_Person @ A )
& ( iext @ uri_rdf_type @ A @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ A @ uri_ex_hasAncestor )
& ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_ex_Person )
& ( iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_Person )
& ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ uri_ex_bob ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
thf(39,plain,
? [A: $i] :
( ( iext @ uri_rdf_type @ uri_ex_hasAncestor @ uri_owl_TransitiveProperty )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_Person @ A )
& ( iext @ uri_rdf_type @ A @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ A @ uri_ex_hasAncestor )
& ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_ex_Person )
& ( iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_Person )
& ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ uri_ex_bob ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
? [A: $i] :
( ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ A )
& ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ A )
& ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ? [A: $i] :
( ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ A )
& ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ? [D: $i] : ( iext @ B @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
thf(15,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ? [D: $i] : ( iext @ B @ C @ D ) )
& ( ? [D: $i] : ( iext @ B @ C @ D )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
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/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(20,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(6,axiom,
! [A: $i] :
( ( icext @ uri_owl_TransitiveProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ C @ D ) )
=> ( iext @ A @ B @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
thf(29,plain,
! [A: $i] :
( ( ( icext @ uri_owl_TransitiveProperty @ A )
=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ C @ D ) )
=> ( iext @ A @ B @ D ) ) ) )
& ( ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ C @ D ) )
=> ( iext @ A @ B @ D ) ) )
=> ( icext @ uri_owl_TransitiveProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(49,plain,
$false,
inference(cvc4,[status(thm)],[10,39,8,15,20,29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n019.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 20:47:58 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.88/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.96 % [INFO] Parsing done (117ms).
% 1.22/0.97 % [INFO] Running in sequential loop mode.
% 1.53/1.17 % [INFO] eprover registered as external prover.
% 1.53/1.17 % [INFO] cvc4 registered as external prover.
% 1.69/1.18 % [INFO] Scanning for conjecture ...
% 1.84/1.23 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.87/1.25 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.87/1.28 % [INFO] Problem is first-order (TPTP FOF).
% 1.87/1.28 % [INFO] Type checking passed.
% 1.87/1.28 % [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 ...
% 3.14/1.70 % External prover 'cvc4' found a proof!
% 3.14/1.70 % [INFO] Killing All external provers ...
% 3.14/1.70 % Time passed: 1185ms (effective reasoning time: 731ms)
% 3.14/1.70 % 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)>
% 3.14/1.70 % Axioms used in derivation (5): testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties, owl_char_transitive, owl_restrict_mincard_001, owl_rdfsext_subclassof, rdfs_cext_def
% 3.14/1.70 % No. of inferences in proof: 14
% 3.14/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1185 ms resp. 731 ms w/o parsing
% 3.14/1.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.14/1.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------