%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB009+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 : n017.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 08:50:30 AM UTC 2026
% Result : Theorem 3.37s 2.27s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 1 unt; 0 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 : 0 ( 0 >; 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_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_p_decl,type,
uri_ex_p: $i ).
thf(uri_ex_s_decl,type,
uri_ex_s: $i ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_ex_c_decl,type,
uri_ex_c: $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_owl_ObjectProperty_decl,type,
uri_owl_ObjectProperty: $i ).
thf(uri_owl_Class_decl,type,
uri_owl_Class: $i ).
thf(uri_owl_Restriction_decl,type,
uri_owl_Restriction: $i ).
thf(1,conjecture,
? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
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(8,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(14,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(5,axiom,
? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_c @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
thf(21,plain,
? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_c @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(30,plain,
$false,
inference(e,[status(thm)],[6,8,14,21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % 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
% 0.15/0.41 % Computer : n017.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 11:37:19 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 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
% 0.88/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.15 % [INFO] Parsing done (172ms).
% 1.29/1.16 % [INFO] Running in sequential loop mode.
% 1.84/1.55 % [INFO] eprover registered as external prover.
% 1.84/1.56 % [INFO] Scanning for conjecture ...
% 2.05/1.65 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.05/1.68 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.22/1.71 % [INFO] Problem is first-order (TPTP FOF).
% 2.22/1.71 % [INFO] Type checking passed.
% 2.22/1.72 % [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 ...
% 3.37/2.27 % External prover 'e' found a proof!
% 3.37/2.27 % [INFO] Killing All external provers ...
% 3.37/2.27 % Time passed: 1717ms (effective reasoning time: 1103ms)
% 3.37/2.27 % 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)>
% 3.37/2.27 % Axioms used in derivation (3): rdfs_cext_def, owl_restrict_somevaluesfrom, testcase_premise_fullish_009_Existential_Restriction_Entailments
% 3.37/2.27 % No. of inferences in proof: 10
% 3.37/2.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1717 ms resp. 1103 ms w/o parsing
% 3.66/2.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.66/2.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------