%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB016+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 : n009.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 08:50:34 AM UTC 2026
% Result : Theorem 4.29s 2.53s
% Output : Refutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 232 ( 2 ~; 0 |; 29 &; 171 @)
% ( 6 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_rdfs_subPropertyOf_decl,type,
uri_rdfs_subPropertyOf: $i ).
thf(uri_owl_equivalentClass_decl,type,
uri_owl_equivalentClass: $i ).
thf(uri_rdfs_subClassOf_decl,type,
uri_rdfs_subClassOf: $i ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_rdf_Property_decl,type,
uri_rdf_Property: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_rdfs_domain_decl,type,
uri_rdfs_domain: $i ).
thf(uri_rdfs_Class_decl,type,
uri_rdfs_Class: $i ).
thf(ic_decl,type,
ic: $i > $o ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(56,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ! [C: $i] :
( ( ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,axiom,
! [A: $i] :
( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(14,plain,
! [A: $i] :
( ( ( A @ ip )
=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
uri_rdfs_subClassOf @ ( uri_owl_equivalentClass @ ( uri_rdfs_subPropertyOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
thf(2,negated_conjecture,
~ ( uri_rdfs_subClassOf @ ( uri_owl_equivalentClass @ ( uri_rdfs_subPropertyOf @ iext ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(13,plain,
~ ( uri_rdfs_subClassOf @ ( uri_owl_equivalentClass @ ( uri_rdfs_subPropertyOf @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
thf(32,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,axiom,
uri_owl_equivalentClass @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
thf(31,plain,
uri_owl_equivalentClass @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
=> ( C @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(26,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
=> ( C @ ( B @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,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(20,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)],[4]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(46,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(29,plain,
uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,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/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(36,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)],[10]) ).
thf(7,axiom,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
thf(30,plain,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(75,plain,
$false,
inference(e,[status(thm)],[56,14,13,32,31,26,20,46,29,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % 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
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 11:45:29 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 0.84/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.17 % [INFO] Parsing done (187ms).
% 1.26/1.19 % [INFO] Running in sequential loop mode.
% 1.85/1.58 % [INFO] eprover registered as external prover.
% 1.85/1.59 % [INFO] Scanning for conjecture ...
% 2.05/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 2.21/1.71 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 2.21/1.75 % [INFO] Problem is first-order (TPTP FOF).
% 2.21/1.76 % [INFO] Type checking passed.
% 2.21/1.76 % [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 ...
% 4.29/2.53 % External prover 'e' found a proof!
% 4.29/2.53 % [INFO] Killing All external provers ...
% 4.29/2.53 % Time passed: 1985ms (effective reasoning time: 1334ms)
% 4.29/2.53 % 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)>
% 4.29/2.53 % Axioms used in derivation (10): owl_rdfsext_subpropertyof, rdfs_domain_main, rdfs_domain_domain, owl_prop_equivalentclass_ext, rdf_type_ip, owl_prop_equivalentclass_type, rdfs_subclassof_domain, owl_rdfsext_subclassof, rdfs_cext_def, owl_eqdis_equivalentclass
% 4.29/2.53 % No. of inferences in proof: 24
% 4.29/2.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1985 ms resp. 1334 ms w/o parsing
% 4.29/2.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.29/2.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------