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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWB005+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 : n017.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 08:50:28 AM UTC 2026

% Result   : Theorem 3.42s 2.31s
% Output   : Refutation 3.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   63 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  187 (   2   ~;   0   |;  26   &; 142   @)
%                                         (   5 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   9 con; 0-3 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

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

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

thf(uri_ex_s_decl,type,
    uri_ex_s: $i ).

thf(uri_rdfs_Resource_decl,type,
    uri_rdfs_Resource: $i ).

thf(uri_owl_Thing_decl,type,
    uri_owl_Thing: $i ).

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

thf(uri_rdf_Property_decl,type,
    uri_rdf_Property: $i ).

thf(uri_owl_ObjectProperty_decl,type,
    uri_owl_ObjectProperty: $i ).

thf(uri_ex_o_decl,type,
    uri_ex_o: $i ).

thf(ir_decl,type,
    ir: $i > $o ).

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

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

thf(3,axiom,
    ! [A: $i] : ( A @ ir ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

thf(13,plain,
    ! [A: $i] : ( A @ ir ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(1,conjecture,
    ( ( uri_owl_Thing @ ( uri_ex_o @ ( uri_rdf_type @ iext ) ) )
    & ( uri_rdfs_Resource @ ( uri_ex_o @ ( uri_rdf_type @ iext ) ) )
    & ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
    & ( uri_rdf_Property @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
    & ( uri_owl_Thing @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
    & ( uri_rdfs_Resource @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
    & ( uri_owl_Thing @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
    & ( uri_rdfs_Resource @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

thf(2,negated_conjecture,
    ~ ( ( uri_owl_Thing @ ( uri_ex_o @ ( uri_rdf_type @ iext ) ) )
      & ( uri_rdfs_Resource @ ( uri_ex_o @ ( uri_rdf_type @ iext ) ) )
      & ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
      & ( uri_rdf_Property @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
      & ( uri_owl_Thing @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
      & ( uri_rdfs_Resource @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
      & ( uri_owl_Thing @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
      & ( uri_rdfs_Resource @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(11,plain,
    ~ ( ( uri_owl_Thing @ ( uri_ex_o @ ( uri_rdf_type @ iext ) ) )
      & ( uri_rdfs_Resource @ ( uri_ex_o @ ( uri_rdf_type @ iext ) ) )
      & ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
      & ( uri_rdf_Property @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
      & ( uri_owl_Thing @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
      & ( uri_rdfs_Resource @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) )
      & ( uri_owl_Thing @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
      & ( uri_rdfs_Resource @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( A @ ( B @ iext ) ) )
     => ( B @ ip ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).

thf(15,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( A @ ( B @ iext ) ) )
     => ( B @ ip ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ( A @ ( uri_owl_ObjectProperty @ icext ) )
    <=> ( A @ ip ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

thf(42,plain,
    ! [A: $i] :
      ( ( ( A @ ip )
       => ( A @ ( uri_owl_ObjectProperty @ icext ) ) )
      & ( ( A @ ( uri_owl_ObjectProperty @ icext ) )
       => ( A @ ip ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(6,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(24,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)],[6]) ).

thf(10,axiom,
    uri_ex_o @ ( uri_ex_s @ ( uri_ex_p @ iext ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

thf(48,plain,
    uri_ex_o @ ( uri_ex_s @ ( uri_ex_p @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
    <=> ( A @ ip ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).

thf(18,plain,
    ! [A: $i] :
      ( ( ( A @ ip )
       => ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) )
      & ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
       => ( A @ ip ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( A @ ( uri_owl_Thing @ icext ) )
    <=> ( A @ ir ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

thf(36,plain,
    ! [A: $i] :
      ( ( ( A @ ir )
       => ( A @ ( uri_owl_Thing @ icext ) ) )
      & ( ( A @ ( uri_owl_Thing @ icext ) )
       => ( A @ ir ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( A @ ir )
    <=> ( A @ ( uri_rdfs_Resource @ icext ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ir_def) ).

thf(30,plain,
    ! [A: $i] :
      ( ( ( A @ ( uri_rdfs_Resource @ icext ) )
       => ( A @ ir ) )
      & ( ( A @ ir )
       => ( A @ ( uri_rdfs_Resource @ icext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(49,plain,
    $false,
    inference(e,[status(thm)],[13,11,15,42,24,48,18,36,30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB005+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
% 0.12/0.38  % Computer : n017.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sat Sep 26 11:35:18 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  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
% 0.85/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.22/1.15  % [INFO] 	 Parsing done (178ms). 
% 1.22/1.17  % [INFO] 	 Running in sequential loop mode. 
% 1.74/1.56  % [INFO] 	 eprover registered as external prover. 
% 1.74/1.57  % [INFO] 	 Scanning for conjecture ... 
% 1.93/1.67  % [INFO] 	 Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ... 
% 2.07/1.70  % [INFO] 	 Axiom selection finished. Selected 8 axioms (removed 0 axioms). 
% 2.07/1.72  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.07/1.73  % [INFO] 	 Type checking passed. 
% 2.07/1.74  % [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 ... 
% 3.42/2.31  % External prover 'e' found a proof!
% 3.42/2.31  % [INFO] 	 Killing All external provers ... 
% 3.42/2.31  % Time passed: 1776ms (effective reasoning time: 1138ms)
% 3.42/2.31  % 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)>
% 3.42/2.31  % Axioms used in derivation (8): testcase_premise_fullish_005_Everything_is_a_Resource, simple_ir, owl_class_objectproperty_ext, rdf_type_ip, rdfs_ir_def, owl_class_thing_ext, rdfs_cext_def, simple_iext_property
% 3.42/2.31  % No. of inferences in proof: 20
% 3.42/2.31  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1776 ms resp. 1138 ms w/o parsing
% 3.42/2.36  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.42/2.36  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------