%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB027+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 : n018.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 08:50:38 AM UTC 2026
% Result : Theorem 6.43s 3.55s
% Output : Refutation 6.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 91 ( 6 equ; 0 cnn)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 287 ( 2 ~; 0 |; 47 &; 210 @)
% ( 6 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 48 !; 6 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_ex_p_decl,type,
uri_ex_p: $i ).
thf(uri_owl_InverseFunctionalProperty_decl,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_owl_sameAs_decl,type,
uri_owl_sameAs: $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_propertyChainAxiom_decl,type,
uri_owl_propertyChainAxiom: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_owl_inverseOf_decl,type,
uri_owl_inverseOf: $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(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( 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_propertyChainAxiom @ iext ) ) )
<=> ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
thf(24,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
thf(46,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(33,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) ) )
& ( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
uri_owl_InverseFunctionalProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
thf(2,negated_conjecture,
~ ( uri_owl_InverseFunctionalProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( uri_owl_InverseFunctionalProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(16,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
? [A: $i,B: $i,C: $i] :
( ( uri_ex_p @ ( C @ ( uri_owl_inverseOf @ iext ) ) )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_rdf_first @ iext ) ) )
& ( A @ ( uri_owl_sameAs @ ( uri_owl_propertyChainAxiom @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
thf(62,plain,
? [A: $i,B: $i,C: $i] :
( ( uri_ex_p @ ( C @ ( uri_owl_inverseOf @ iext ) ) )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_rdf_first @ iext ) ) )
& ( A @ ( uri_owl_sameAs @ ( uri_owl_propertyChainAxiom @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(74,plain,
$false,
inference(e,[status(thm)],[10,24,46,33,9,16,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB027+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
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 11:53:36 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 1.24/1.16 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.68/1.42 % [INFO] Parsing done (264ms).
% 1.68/1.44 % [INFO] Running in sequential loop mode.
% 2.61/1.94 % [INFO] eprover registered as external prover.
% 2.61/1.96 % [INFO] Scanning for conjecture ...
% 2.91/2.09 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.91/2.13 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 3.22/2.20 % [INFO] Problem is first-order (TPTP FOF).
% 3.22/2.21 % [INFO] Type checking passed.
% 3.22/2.22 % [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 ...
% 6.43/3.54 % External prover 'e' found a proof!
% 6.43/3.54 % [INFO] Killing All external provers ...
% 6.43/3.54 % Time passed: 2980ms (effective reasoning time: 2091ms)
% 6.43/3.55 % 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)>
% 6.43/3.55 % Axioms used in derivation (6): owl_inv, owl_chain_002, owl_eqdis_sameas, owl_char_inversefunctional, testcase_premise_fullish_027_Inferred_Property_Characteristics_II, rdfs_cext_def
% 6.43/3.55 % No. of inferences in proof: 16
% 6.43/3.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2980 ms resp. 2091 ms w/o parsing
% 6.66/3.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.66/3.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------