TSTP Solution File: SWB009+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 12:07:54 EDT 2023
% Result : Theorem 2.65s 1.57s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 21 ( 1 unt; 11 typ; 0 def)
% Number of atoms : 38 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 132 ( 2 ~; 0 |; 20 &; 102 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 12 !; 8 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_p_type,type,
uri_ex_p: $i ).
thf(uri_ex_s_type,type,
uri_ex_s: $i ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_ex_c_type,type,
uri_ex_c: $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_owl_ObjectProperty_type,type,
uri_owl_ObjectProperty: $i ).
thf(uri_owl_Class_type,type,
uri_owl_Class: $i ).
thf(uri_owl_Restriction_type,type,
uri_owl_Restriction: $i ).
thf(1,conjecture,
? [A: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ A )
& ( iext @ uri_rdf_type @ A @ uri_ex_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ A )
& ( iext @ uri_rdf_type @ A @ uri_ex_c ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ? [A: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ A )
& ( iext @ uri_rdf_type @ A @ uri_ex_c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
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(8,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(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(13,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(5,axiom,
? [A: $i] :
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_s @ A )
& ( iext @ uri_rdf_type @ A @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ A @ uri_ex_p )
& ( iext @ uri_owl_someValuesFrom @ A @ uri_ex_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
thf(19,plain,
? [A: $i] :
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_s @ A )
& ( iext @ uri_rdf_type @ A @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ A @ uri_ex_p )
& ( iext @ uri_owl_someValuesFrom @ A @ uri_ex_c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(27,plain,
$false,
inference(e,[status(thm)],[6,8,13,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 21:12:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.84/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.02/0.91 % [INFO] Parsing done (112ms).
% 1.02/0.92 % [INFO] Running in sequential loop mode.
% 1.47/1.13 % [INFO] eprover registered as external prover.
% 1.47/1.13 % [INFO] cvc4 registered as external prover.
% 1.47/1.14 % [INFO] Scanning for conjecture ...
% 1.73/1.19 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.73/1.21 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.73/1.23 % [INFO] Problem is first-order (TPTP FOF).
% 1.89/1.23 % [INFO] Type checking passed.
% 1.89/1.24 % [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 ...
% 2.65/1.56 % External prover 'e' found a proof!
% 2.65/1.56 % [INFO] Killing All external provers ...
% 2.65/1.57 % Time passed: 1064ms (effective reasoning time: 643ms)
% 2.65/1.57 % 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)>
% 2.65/1.57 % Axioms used in derivation (3): rdfs_cext_def, owl_restrict_somevaluesfrom, testcase_premise_fullish_009_Existential_Restriction_Entailments
% 2.65/1.57 % No. of inferences in proof: 10
% 2.65/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1064 ms resp. 643 ms w/o parsing
% 2.65/1.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.65/1.59 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------