%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n010.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 08:50:37 AM UTC 2026
% Result : Theorem 3.01s 1.82s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 1 unt; 0 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 : 0 ( 0 >; 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_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_hasAncestor_decl,type,
uri_ex_hasAncestor: $i ).
thf(uri_ex_bob_decl,type,
uri_ex_bob: $i ).
thf(uri_ex_alice_decl,type,
uri_ex_alice: $i ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_owl_minCardinality_decl,type,
uri_owl_minCardinality: $i ).
thf(literal_typed_decl,type,
literal_typed: $i > $i > $i ).
thf(dat_str_1_decl,type,
dat_str_1: $i ).
thf(uri_xsd_nonNegativeInteger_decl,type,
uri_xsd_nonNegativeInteger: $i ).
thf(uri_owl_onProperty_decl,type,
uri_owl_onProperty: $i ).
thf(uri_rdfs_subClassOf_decl,type,
uri_rdfs_subClassOf: $i ).
thf(ic_decl,type,
ic: $i > $o ).
thf(uri_owl_TransitiveProperty_decl,type,
uri_owl_TransitiveProperty: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_ex_Person_decl,type,
uri_ex_Person: $i ).
thf(uri_owl_Restriction_decl,type,
uri_owl_Restriction: $i ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ( B @ icext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(10,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(6,axiom,
! [A: $i] :
( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_transitive) ).
thf(32,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_TransitiveProperty @ icext ) ) )
& ( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(22,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
thf(16,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
? [A: $i] :
( ( uri_ex_bob @ ( uri_ex_alice @ ( uri_ex_hasAncestor @ iext ) ) )
& ( uri_ex_Person @ ( uri_ex_bob @ ( uri_rdf_type @ iext ) ) )
& ( uri_ex_Person @ ( uri_ex_alice @ ( uri_rdf_type @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) )
& ( uri_ex_hasAncestor @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_Person @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( uri_owl_TransitiveProperty @ ( uri_ex_hasAncestor @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
thf(43,plain,
? [A: $i] :
( ( uri_ex_bob @ ( uri_ex_alice @ ( uri_ex_hasAncestor @ iext ) ) )
& ( uri_ex_Person @ ( uri_ex_bob @ ( uri_rdf_type @ iext ) ) )
& ( uri_ex_Person @ ( uri_ex_alice @ ( uri_rdf_type @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) )
& ( uri_ex_hasAncestor @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_Person @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( uri_owl_TransitiveProperty @ ( uri_ex_hasAncestor @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
? [A: $i] :
( ( A @ ( uri_ex_alice @ ( uri_ex_hasAncestor @ iext ) ) )
& ( A @ ( uri_ex_bob @ ( uri_ex_hasAncestor @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( A @ ( uri_ex_alice @ ( uri_ex_hasAncestor @ iext ) ) )
& ( A @ ( uri_ex_bob @ ( uri_ex_hasAncestor @ iext ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ? [A: $i] :
( ( A @ ( uri_ex_alice @ ( uri_ex_hasAncestor @ iext ) ) )
& ( A @ ( uri_ex_bob @ ( uri_ex_hasAncestor @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(89,plain,
$false,
inference(e,[status(thm)],[10,32,22,16,43,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.71 % Computer : n010.cluster.edu
% 0.13/0.71 % Model : x86_64 x86_64
% 0.13/0.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.71 % Memory : 8046.5625MB
% 0.13/0.71 % OS : Linux 6.8.0-71-generic
% 0.13/0.71 % CPULimit : 300
% 0.13/0.71 % WCLimit : 300
% 0.13/0.71 % DateTime : Sat Sep 26 11:50:01 UTC 2026
% 0.13/0.72 % CPUTime :
% 0.13/0.72 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.17/1.02 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/1.11 % [INFO] Parsing done (93ms).
% 0.74/1.12 % [INFO] Running in sequential loop mode.
% 1.39/1.30 % [INFO] eprover registered as external prover.
% 1.39/1.31 % [INFO] Scanning for conjecture ...
% 1.39/1.35 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.39/1.37 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.39/1.39 % [INFO] Problem is first-order (TPTP FOF).
% 1.39/1.39 % [INFO] Type checking passed.
% 1.39/1.39 % [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 ...
% 3.01/1.82 % External prover 'e' found a proof!
% 3.01/1.82 % [INFO] Killing All external provers ...
% 3.01/1.82 % Time passed: 1004ms (effective reasoning time: 697ms)
% 3.01/1.82 % 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)>
% 3.01/1.82 % 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
% 3.01/1.82 % No. of inferences in proof: 14
% 3.01/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1004 ms resp. 697 ms w/o parsing
% 3.01/1.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.01/1.84 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------