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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWB007+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 : n007.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 08:50:30 AM UTC 2026

% Result   : Theorem 3.83s 2.40s
% Output   : Refutation 3.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   78 (   2   ~;   0   |;  13   &;  60   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;  10 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

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

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

thf(uri_ex_w_decl,type,
    uri_ex_w: $i ).

thf(uri_ex_c2_decl,type,
    uri_ex_c2: $i ).

thf(uri_rdfs_subClassOf_decl,type,
    uri_rdfs_subClassOf: $i ).

thf(uri_ex_c_decl,type,
    uri_ex_c: $i ).

thf(uri_rdfs_range_decl,type,
    uri_rdfs_range: $i ).

thf(uri_ex_p_decl,type,
    uri_ex_p: $i ).

thf(uri_owl_sameAs_decl,type,
    uri_owl_sameAs: $i ).

thf(uri_ex_c1_decl,type,
    uri_ex_c1: $i ).

thf(1,conjecture,
    ( ( uri_ex_c2 @ ( uri_ex_p @ ( uri_rdfs_range @ iext ) ) )
    & ( uri_ex_c2 @ ( uri_ex_c @ ( uri_rdfs_subClassOf @ iext ) ) )
    & ( uri_ex_c2 @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).

thf(2,negated_conjecture,
    ~ ( ( uri_ex_c2 @ ( uri_ex_p @ ( uri_rdfs_range @ iext ) ) )
      & ( uri_ex_c2 @ ( uri_ex_c @ ( uri_rdfs_subClassOf @ iext ) ) )
      & ( uri_ex_c2 @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(5,plain,
    ~ ( ( uri_ex_c2 @ ( uri_ex_p @ ( uri_rdfs_range @ iext ) ) )
      & ( uri_ex_c2 @ ( uri_ex_c @ ( uri_rdfs_subClassOf @ iext ) ) )
      & ( uri_ex_c2 @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
    <=> ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

thf(7,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)],[3]) ).

thf(4,axiom,
    ( ( uri_ex_c1 @ ( uri_ex_p @ ( uri_rdfs_range @ iext ) ) )
    & ( uri_ex_c1 @ ( uri_ex_c @ ( uri_rdfs_subClassOf @ iext ) ) )
    & ( uri_ex_c1 @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) )
    & ( uri_ex_c2 @ ( uri_ex_c1 @ ( uri_owl_sameAs @ iext ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).

thf(15,plain,
    ( ( uri_ex_c1 @ ( uri_ex_p @ ( uri_rdfs_range @ iext ) ) )
    & ( uri_ex_c1 @ ( uri_ex_c @ ( uri_rdfs_subClassOf @ iext ) ) )
    & ( uri_ex_c1 @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) )
    & ( uri_ex_c2 @ ( uri_ex_c1 @ ( uri_owl_sameAs @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(71,plain,
    $false,
    inference(e,[status(thm)],[5,7,15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % 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
% 0.14/0.40  % Computer : n007.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Sat Sep 26 11:38:54 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  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
% 0.85/0.99  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.21/1.16  % [INFO] 	 Parsing done (166ms). 
% 1.21/1.17  % [INFO] 	 Running in sequential loop mode. 
% 1.74/1.56  % [INFO] 	 eprover registered as external prover. 
% 1.74/1.57  % [INFO] 	 Scanning for conjecture ... 
% 1.92/1.65  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ... 
% 1.92/1.69  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 2.09/1.70  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.09/1.71  % [INFO] 	 Type checking passed. 
% 2.09/1.71  % [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 ... 
% 3.55/2.40  % External prover 'e' found a proof!
% 3.55/2.40  % [INFO] 	 Killing All external provers ... 
% 3.55/2.40  % Time passed: 1849ms (effective reasoning time: 1220ms)
% 3.55/2.40  % 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)>
% 3.83/2.40  % Axioms used in derivation (2): owl_eqdis_sameas, testcase_premise_fullish_007_Equal_Classes
% 3.83/2.40  % No. of inferences in proof: 8
% 3.83/2.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1849 ms resp. 1220 ms w/o parsing
% 3.83/2.44  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.83/2.44  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------