%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB010+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 : n020.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 08:50:31 AM UTC 2026
% Result : Theorem 3.47s 12.03s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 108 ( 5 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 337 ( 7 ~; 0 |; 54 &; 244 @)
% ( 5 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 18 con; 0-3 aty)
% Number of variables : 59 ( 0 ^; 46 !; 13 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_owl_NegativePropertyAssertion_decl,type,
uri_owl_NegativePropertyAssertion: $i ).
thf(uri_owl_sourceIndividual_decl,type,
uri_owl_sourceIndividual: $i ).
thf(uri_ex_s_decl,type,
uri_ex_s: $i ).
thf(uri_owl_assertionProperty_decl,type,
uri_owl_assertionProperty: $i ).
thf(uri_ex_p_decl,type,
uri_ex_p: $i ).
thf(uri_owl_targetIndividual_decl,type,
uri_owl_targetIndividual: $i ).
thf(uri_ex_o_decl,type,
uri_ex_o: $i ).
thf(ir_decl,type,
ir: $i > $o ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_owl_onProperty_decl,type,
uri_owl_onProperty: $i ).
thf(uri_owl_Restriction_decl,type,
uri_owl_Restriction: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_owl_complementOf_decl,type,
uri_owl_complementOf: $i ).
thf(ic_decl,type,
ic: $i > $o ).
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_oneOf_decl,type,
uri_owl_oneOf: $i ).
thf(uri_owl_allValuesFrom_decl,type,
uri_owl_allValuesFrom: $i ).
thf(uri_owl_ObjectProperty_decl,type,
uri_owl_ObjectProperty: $i ).
thf(3,axiom,
! [A: $i] : ( A @ ir ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
thf(14,plain,
! [A: $i] : ( A @ ir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D = C ) )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(38,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D = C )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D = C ) ) )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D = C )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D = C ) ) )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).
thf(22,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
thf(26,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ 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)],[7]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ ir )
& ( A @ ip )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetIndividual @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_object_fi) ).
thf(62,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ ir )
& ( A @ ip )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetIndividual @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,conjecture,
? [A: $i] :
( ( uri_ex_o @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( uri_ex_s @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
& ( uri_owl_NegativePropertyAssertion @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( uri_ex_o @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( uri_ex_s @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
& ( uri_owl_NegativePropertyAssertion @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(12,plain,
~ ? [A: $i] :
( ( uri_ex_o @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( uri_ex_s @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
& ( uri_owl_NegativePropertyAssertion @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).
thf(54,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,axiom,
? [A: $i,B: $i,C: $i,D: $i] :
( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_o @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( C @ ( uri_owl_oneOf @ iext ) ) )
& ( C @ ( B @ ( uri_owl_complementOf @ iext ) ) )
& ( B @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).
thf(67,plain,
? [A: $i,B: $i,C: $i,D: $i] :
( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_o @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( C @ ( uri_owl_oneOf @ iext ) ) )
& ( C @ ( B @ ( uri_owl_complementOf @ iext ) ) )
& ( B @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
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(16,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(154,plain,
$false,
inference(e,[status(thm)],[14,38,22,26,30,62,12,54,67,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB010+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
% 0.14/10.42 % Computer : n020.cluster.edu
% 0.14/10.42 % Model : x86_64 x86_64
% 0.14/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.42 % Memory : 8046.5625MB
% 0.14/10.42 % OS : Linux 6.8.0-71-generic
% 0.14/10.42 % CPULimit : 300
% 0.14/10.42 % WCLimit : 300
% 0.14/10.42 % DateTime : Sat Sep 26 11:43:28 UTC 2026
% 0.14/10.42 % CPUTime :
% 0.14/10.42 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
% 0.19/10.72 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/10.82 % [INFO] Parsing done (99ms).
% 0.19/10.82 % [INFO] Running in sequential loop mode.
% 0.19/11.01 % [INFO] eprover registered as external prover.
% 0.19/11.02 % [INFO] Scanning for conjecture ...
% 1.47/11.07 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 1.47/11.09 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 1.47/11.12 % [INFO] Problem is first-order (TPTP FOF).
% 1.47/11.12 % [INFO] Type checking passed.
% 1.72/11.13 % [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 ...
% 3.47/12.03 % External prover 'e' found a proof!
% 3.47/12.03 % [INFO] Killing All external provers ...
% 3.47/12.03 % Time passed: 1517ms (effective reasoning time: 1201ms)
% 3.47/12.03 % 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)>
% 3.47/12.03 % Axioms used in derivation (9): owl_prop_sourceindividual_ext, owl_bool_complementof_class, simple_ir, owl_prop_onproperty_ext, owl_npa_object_fi, testcase_premise_fullish_010_Negative_Property_Assertions, owl_restrict_allvaluesfrom, owl_enum_class_001, rdfs_cext_def
% 3.47/12.03 % No. of inferences in proof: 22
% 3.47/12.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1517 ms resp. 1201 ms w/o parsing
% 4.05/12.09 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.05/12.09 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------