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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWB019+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 : n004.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 08:50:35 AM UTC 2026

% Result   : Unsatisfiable 4.63s 8.18s
% Output   : Refutation 4.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   30 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   6 avg)
%            Number of connectives :  107 (   3   ~;   0   |;  22   &;  79   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;  10 con; 0-3 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iext_decl,type,
    iext: $i > $i > $i > $o ).

thf(uri_owl_propertyDisjointWith_decl,type,
    uri_owl_propertyDisjointWith: $i ).

thf(ip_decl,type,
    ip: $i > $o ).

thf(uri_rdf_type_decl,type,
    uri_rdf_type: $i ).

thf(uri_skos_prefLabel_decl,type,
    uri_skos_prefLabel: $i ).

thf(uri_owl_AnnotationProperty_decl,type,
    uri_owl_AnnotationProperty: $i ).

thf(uri_rdfs_subPropertyOf_decl,type,
    uri_rdfs_subPropertyOf: $i ).

thf(uri_rdfs_label_decl,type,
    uri_rdfs_label: $i ).

thf(uri_skos_altLabel_decl,type,
    uri_skos_altLabel: $i ).

thf(uri_ex_foo_decl,type,
    uri_ex_foo: $i ).

thf(literal_plain_decl,type,
    literal_plain: $i > $i ).

thf(dat_str_foo_decl,type,
    dat_str_foo: $i ).

thf(1,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
    <=> ( ! [C: $i,D: $i] :
            ~ ( ( D @ ( C @ ( B @ iext ) ) )
              & ( D @ ( C @ ( A @ iext ) ) ) )
        & ( B @ ip )
        & ( A @ ip ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

thf(3,plain,
    ! [A: $i,B: $i] :
      ( ( ( ! [C: $i,D: $i] :
              ~ ( ( D @ ( C @ ( B @ iext ) ) )
                & ( D @ ( C @ ( A @ iext ) ) ) )
          & ( B @ ip )
          & ( A @ ip ) )
       => ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) ) )
      & ( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
       => ( ! [C: $i,D: $i] :
              ~ ( ( D @ ( C @ ( B @ iext ) ) )
                & ( D @ ( C @ ( A @ iext ) ) ) )
          & ( B @ ip )
          & ( A @ ip ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,axiom,
    ( ( dat_str_foo @ literal_plain @ ( uri_ex_foo @ ( uri_skos_altLabel @ iext ) ) )
    & ( dat_str_foo @ literal_plain @ ( uri_ex_foo @ ( uri_skos_prefLabel @ iext ) ) )
    & ( uri_skos_altLabel @ ( uri_skos_prefLabel @ ( uri_owl_propertyDisjointWith @ iext ) ) )
    & ( uri_rdfs_label @ ( uri_skos_altLabel @ ( uri_rdfs_subPropertyOf @ iext ) ) )
    & ( uri_owl_AnnotationProperty @ ( uri_skos_altLabel @ ( uri_rdf_type @ iext ) ) )
    & ( uri_rdfs_label @ ( uri_skos_prefLabel @ ( uri_rdfs_subPropertyOf @ iext ) ) )
    & ( uri_owl_AnnotationProperty @ ( uri_skos_prefLabel @ ( uri_rdf_type @ iext ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_019_Disjoint_Annotation_Properties) ).

thf(13,plain,
    ( ( dat_str_foo @ literal_plain @ ( uri_ex_foo @ ( uri_skos_altLabel @ iext ) ) )
    & ( dat_str_foo @ literal_plain @ ( uri_ex_foo @ ( uri_skos_prefLabel @ iext ) ) )
    & ( uri_skos_altLabel @ ( uri_skos_prefLabel @ ( uri_owl_propertyDisjointWith @ iext ) ) )
    & ( uri_rdfs_label @ ( uri_skos_altLabel @ ( uri_rdfs_subPropertyOf @ iext ) ) )
    & ( uri_owl_AnnotationProperty @ ( uri_skos_altLabel @ ( uri_rdf_type @ iext ) ) )
    & ( uri_rdfs_label @ ( uri_skos_prefLabel @ ( uri_rdfs_subPropertyOf @ iext ) ) )
    & ( uri_owl_AnnotationProperty @ ( uri_skos_prefLabel @ ( uri_rdf_type @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(22,plain,
    $false,
    inference(e,[status(thm)],[3,13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB019+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.12  % 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
% 0.22/5.48  % Computer : n004.cluster.edu
% 0.22/5.48  % Model    : x86_64 x86_64
% 0.22/5.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/5.48  % Memory   : 8046.5625MB
% 0.22/5.48  % OS       : Linux 6.8.0-71-generic
% 0.22/5.48  % CPULimit : 300
% 0.22/5.48  % WCLimit  : 300
% 0.22/5.48  % DateTime : Sat Sep 26 11:46:57 UTC 2026
% 0.22/5.48  % CPUTime  : 
% 0.22/5.48  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
% 1.38/6.30  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.69/6.55  % [INFO] 	 Parsing done (248ms). 
% 1.69/6.57  % [INFO] 	 Running in sequential loop mode. 
% 2.66/7.17  % [INFO] 	 eprover registered as external prover. 
% 2.66/7.18  % [INFO] 	 Scanning for conjecture ... 
% 2.75/7.24  % [INFO] 	 2 axioms and no conjecture found. 
% 2.90/7.33  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.90/7.34  % [INFO] 	 Type checking passed. 
% 2.90/7.35  % [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 ... 
% 4.63/8.17  % External prover 'e' found a proof!
% 4.63/8.17  % [INFO] 	 Killing All external provers ... 
% 4.63/8.18  % Time passed: 2491ms (effective reasoning time: 1592ms)
% 4.63/8.18  % Axioms used in derivation (2): owl_eqdis_propertydisjointwith, testcase_premise_fullish_019_Disjoint_Annotation_Properties
% 4.63/8.18  % No. of inferences in proof: 5
% 4.63/8.18  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2491 ms resp. 1592 ms w/o parsing
% 4.73/8.23  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.73/8.23  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------