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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWB014+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 : n002.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 3.99s 7.58s
% Output   : Refutation 4.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   64 (   0 equ;   0 cnn)
%            Maximal formula atoms :   24 (   6 avg)
%            Number of connectives :  209 (   2   ~;   5   |;  36   &; 153   @)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (  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   :   26 (   0   ^;  17   !;   9   ?;  26   :)

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

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

thf(uri_ex_harry_decl,type,
    uri_ex_harry: $i ).

thf(uri_ex_Species_decl,type,
    uri_ex_Species: $i ).

thf(icext_decl,type,
    icext: $i > $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_unionOf_decl,type,
    uri_owl_unionOf: $i ).

thf(ic_decl,type,
    ic: $i > $o ).

thf(uri_ex_Eagle_decl,type,
    uri_ex_Eagle: $i ).

thf(uri_ex_Falcon_decl,type,
    uri_ex_Falcon: $i ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( uri_ex_Species @ ( A @ ( uri_rdf_type @ iext ) ) )
      & ( A @ ( uri_ex_harry @ ( uri_rdf_type @ iext ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] :
        ( ( uri_ex_Species @ ( A @ ( uri_rdf_type @ iext ) ) )
        & ( A @ ( uri_ex_harry @ ( uri_rdf_type @ iext ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ ? [A: $i] :
        ( ( uri_ex_Species @ ( A @ ( uri_rdf_type @ iext ) ) )
        & ( A @ ( uri_ex_harry @ ( uri_rdf_type @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,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(8,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(4,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_unionOf @ iext ) ) )
      <=> ( ! [F: $i] :
              ( ( F @ ( A @ icext ) )
            <=> ( ( F @ ( E @ icext ) )
                | ( F @ ( C @ icext ) ) ) )
          & ( E @ ic )
          & ( C @ ic )
          & ( A @ ic ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).

thf(14,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] :
                ( ( ( ( F @ ( E @ icext ) )
                    | ( F @ ( C @ icext ) ) )
                 => ( F @ ( A @ icext ) ) )
                & ( ( F @ ( A @ icext ) )
                 => ( ( F @ ( E @ icext ) )
                    | ( F @ ( C @ icext ) ) ) ) )
            & ( E @ ic )
            & ( C @ ic )
            & ( A @ ic ) )
         => ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
        & ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
         => ( ! [F: $i] :
                ( ( ( ( F @ ( E @ icext ) )
                    | ( F @ ( C @ icext ) ) )
                 => ( F @ ( A @ icext ) ) )
                & ( ( F @ ( A @ icext ) )
                 => ( ( F @ ( E @ icext ) )
                    | ( F @ ( C @ icext ) ) ) ) )
            & ( E @ ic )
            & ( C @ ic )
            & ( A @ ic ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ? [A: $i,B: $i,C: $i] :
      ( ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
      & ( uri_ex_Falcon @ ( C @ ( uri_rdf_first @ iext ) ) )
      & ( C @ ( B @ ( uri_rdf_rest @ iext ) ) )
      & ( uri_ex_Eagle @ ( B @ ( uri_rdf_first @ iext ) ) )
      & ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
      & ( A @ ( uri_ex_harry @ ( uri_rdf_type @ iext ) ) )
      & ( uri_ex_Species @ ( uri_ex_Falcon @ ( uri_rdf_type @ iext ) ) )
      & ( uri_ex_Species @ ( uri_ex_Eagle @ ( uri_rdf_type @ iext ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).

thf(30,plain,
    ? [A: $i,B: $i,C: $i] :
      ( ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
      & ( uri_ex_Falcon @ ( C @ ( uri_rdf_first @ iext ) ) )
      & ( C @ ( B @ ( uri_rdf_rest @ iext ) ) )
      & ( uri_ex_Eagle @ ( B @ ( uri_rdf_first @ iext ) ) )
      & ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
      & ( A @ ( uri_ex_harry @ ( uri_rdf_type @ iext ) ) )
      & ( uri_ex_Species @ ( uri_ex_Falcon @ ( uri_rdf_type @ iext ) ) )
      & ( uri_ex_Species @ ( uri_ex_Eagle @ ( uri_rdf_type @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(41,plain,
    $false,
    inference(e,[status(thm)],[6,8,14,30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB014+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
% 0.14/5.41  % Computer : n002.cluster.edu
% 0.14/5.41  % Model    : x86_64 x86_64
% 0.14/5.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.41  % Memory   : 8046.5625MB
% 0.14/5.41  % OS       : Linux 6.8.0-71-generic
% 0.14/5.41  % CPULimit : 300
% 0.14/5.41  % WCLimit  : 300
% 0.14/5.41  % DateTime : Sat Sep 26 11:47:14 UTC 2026
% 0.14/5.42  % CPUTime  : 
% 0.14/5.42  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
% 1.05/6.05  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.33/6.24  % [INFO] 	 Parsing done (192ms). 
% 1.33/6.26  % [INFO] 	 Running in sequential loop mode. 
% 1.93/6.67  % [INFO] 	 eprover registered as external prover. 
% 1.93/6.68  % [INFO] 	 Scanning for conjecture ... 
% 2.14/6.78  % [INFO] 	 Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ... 
% 2.32/6.82  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 2.32/6.85  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.32/6.86  % [INFO] 	 Type checking passed. 
% 2.32/6.86  % [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 ... 
% 3.99/7.58  % External prover 'e' found a proof!
% 3.99/7.58  % [INFO] 	 Killing All external provers ... 
% 3.99/7.58  % Time passed: 2002ms (effective reasoning time: 1316ms)
% 3.99/7.58  % 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)>
% 3.99/7.58  % Axioms used in derivation (3): rdfs_cext_def, owl_bool_unionof_class_002, testcase_premise_fullish_014_Harry_belongs_to_some_Species
% 3.99/7.58  % No. of inferences in proof: 10
% 3.99/7.58  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2002 ms resp. 1316 ms w/o parsing
% 4.30/7.63  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.30/7.63  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------