%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : ITP001^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:21:13 EDT 2024

% Result   : Theorem 2.61s 1.55s
% Output   : Refutation 2.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :    9 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   2   ^   0   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: $tType ).

thf(c_2Ebool_2ET_type,type,
    c_2Ebool_2ET: $o ).

thf(10,axiom,
    ( c_2Ebool_2ET
    = ( ( ^ [A: $o] : A )
      = ( ^ [A: $o] : A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).

thf(53,plain,
    c_2Ebool_2ET,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(1,conjecture,
    c_2Ebool_2ET,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).

thf(2,negated_conjecture,
    ~ c_2Ebool_2ET,
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(11,plain,
    ~ c_2Ebool_2ET,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(54,plain,
    $false,
    inference(rewrite,[status(thm)],[53,11]) ).

thf(55,plain,
    $false,
    inference(simp,[status(thm)],[54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP001^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n013.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sat May 18 16:32:23 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.98/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.25/0.97  % [INFO] 	 Parsing done (102ms). 
% 1.25/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.60/1.17  % [INFO] 	 eprover registered as external prover. 
% 1.60/1.17  % [INFO] 	 cvc4 registered as external prover. 
% 1.60/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.76/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ... 
% 1.76/1.23  % [INFO] 	 Axiom selection finished. Selected 8 axioms (removed 0 axioms). 
% 1.76/1.25  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.76/1.25  % [INFO] 	 Type checking passed. 
% 1.76/1.25  % [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 ... 
% 2.61/1.54  % [INFO] 	 Killing All external provers ... 
% 2.61/1.55  % Time passed: 1016ms (effective reasoning time: 565ms)
% 2.61/1.55  % 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)>
% 2.61/1.55  % Axioms used in derivation (1): thm_2Ebool_2ET__DEF
% 2.61/1.55  % No. of inferences in proof: 7
% 2.61/1.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1016 ms resp. 565 ms w/o parsing
% 2.61/1.56  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.61/1.56  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------