%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB012+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 : n016.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 08:50:32 AM UTC 2026
% Result : Theorem 7.06s 3.62s
% Output : Refutation 7.30s
% 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 : 102 ( 0 equ; 0 cnn)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 343 ( 2 ~; 0 |; 68 &; 253 @)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 45 ( 0 ^; 37 !; 8 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_ex_name_decl,type,
uri_ex_name: $i ).
thf(uri_owl_FunctionalProperty_decl,type,
uri_owl_FunctionalProperty: $i ).
thf(uri_ex_alice_decl,type,
uri_ex_alice: $i ).
thf(uri_foaf_Person_decl,type,
uri_foaf_Person: $i ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_rdfs_domain_decl,type,
uri_rdfs_domain: $i ).
thf(uri_rdf_first_decl,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_decl,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_decl,type,
uri_rdf_nil: $i ).
thf(uri_owl_intersectionOf_decl,type,
uri_owl_intersectionOf: $i ).
thf(ic_decl,type,
ic: $i > $o ).
thf(uri_owl_hasValue_decl,type,
uri_owl_hasValue: $i ).
thf(uri_owl_onProperty_decl,type,
uri_owl_onProperty: $i ).
thf(uri_owl_Class_decl,type,
uri_owl_Class: $i ).
thf(uri_ex_PersonAttribute_decl,type,
uri_ex_PersonAttribute: $i ).
thf(uri_owl_DatatypeProperty_decl,type,
uri_owl_DatatypeProperty: $i ).
thf(uri_owl_Restriction_decl,type,
uri_owl_Restriction: $i ).
thf(literal_plain_decl,type,
literal_plain: $i > $i ).
thf(dat_str_alice_decl,type,
dat_str_alice: $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,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasValue @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
thf(37,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasValue @ iext ) ) ) )
=> ! [D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,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/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(16,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)],[4]) ).
thf(7,axiom,
? [A: $i,B: $i,C: $i,D: $i] :
( ( dat_str_alice @ literal_plain @ ( uri_ex_alice @ ( uri_ex_name @ iext ) ) )
& ( uri_ex_PersonAttribute @ ( uri_ex_name @ ( uri_rdf_type @ iext ) ) )
& ( uri_foaf_Person @ ( D @ ( uri_owl_hasValue @ iext ) ) )
& ( uri_rdfs_domain @ ( D @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( D @ ( uri_rdf_type @ iext ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( uri_owl_FunctionalProperty @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_first @ iext ) ) )
& ( A @ ( uri_ex_PersonAttribute @ ( uri_owl_intersectionOf @ iext ) ) )
& ( uri_owl_Class @ ( uri_foaf_Person @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
thf(43,plain,
? [A: $i,B: $i,C: $i,D: $i] :
( ( dat_str_alice @ literal_plain @ ( uri_ex_alice @ ( uri_ex_name @ iext ) ) )
& ( uri_ex_PersonAttribute @ ( uri_ex_name @ ( uri_rdf_type @ iext ) ) )
& ( uri_foaf_Person @ ( D @ ( uri_owl_hasValue @ iext ) ) )
& ( uri_rdfs_domain @ ( D @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( D @ ( uri_rdf_type @ iext ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( uri_owl_FunctionalProperty @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_first @ iext ) ) )
& ( A @ ( uri_ex_PersonAttribute @ ( uri_owl_intersectionOf @ iext ) ) )
& ( uri_owl_Class @ ( uri_foaf_Person @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
( ( uri_foaf_Person @ ( uri_ex_alice @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_FunctionalProperty @ ( uri_ex_name @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
thf(2,negated_conjecture,
~ ( ( uri_foaf_Person @ ( uri_ex_alice @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_FunctionalProperty @ ( uri_ex_name @ ( uri_rdf_type @ iext ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( ( uri_foaf_Person @ ( uri_ex_alice @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_FunctionalProperty @ ( uri_ex_name @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
thf(19,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(89,plain,
$false,
inference(e,[status(thm)],[10,37,16,43,8,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.09 % 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
% 0.16/0.42 % Computer : n016.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 11:47:45 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 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
% 0.94/1.01 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.48/1.28 % [INFO] Parsing done (262ms).
% 1.71/1.30 % [INFO] Running in sequential loop mode.
% 2.73/1.91 % [INFO] eprover registered as external prover.
% 2.73/1.92 % [INFO] Scanning for conjecture ...
% 3.00/2.05 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 3.00/2.10 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 3.22/2.17 % [INFO] Problem is first-order (TPTP FOF).
% 3.22/2.18 % [INFO] Type checking passed.
% 3.22/2.19 % [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 ...
% 7.06/3.62 % External prover 'e' found a proof!
% 7.06/3.62 % [INFO] Killing All external provers ...
% 7.06/3.62 % Time passed: 3051ms (effective reasoning time: 2310ms)
% 7.06/3.62 % 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)>
% 7.06/3.62 % Axioms used in derivation (5): testcase_premise_fullish_012_Template_Class, rdfs_domain_main, owl_bool_intersectionof_class_003, owl_restrict_hasvalue, rdfs_cext_def
% 7.06/3.62 % No. of inferences in proof: 14
% 7.06/3.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3051 ms resp. 2310 ms w/o parsing
% 7.30/3.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.30/3.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------