%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : ITP001^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n006.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 22:26:58 EDT 2024

% Result   : Theorem 7.16s 2.74s
% Output   : Refutation 7.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (   7 unt;   5 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       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   2 con; 0-2 aty)
%            Number of variables   :    1 (   0   ^   1   !;   0   ?;   1   :)

% Comments : 
%------------------------------------------------------------------------------
thf(u_type,type,
    u: $tType ).

thf(d_type,type,
    d: $tType ).

thf(du_type,type,
    du: $tType ).

thf(mono_2Ec_2Ebool_2ET_type,type,
    mono_2Ec_2Ebool_2ET: $o ).

thf(mono_2Etyop_2Emin_2Eind_type,type,
    mono_2Etyop_2Emin_2Eind: $tType ).

thf(64,axiom,
    ( mono_2Ec_2Ebool_2ET
    = ( ! [A: $o] : ( A = A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).

thf(391,plain,
    mono_2Ec_2Ebool_2ET,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(1,conjecture,
    mono_2Ec_2Ebool_2ET,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).

thf(2,negated_conjecture,
    ~ mono_2Ec_2Ebool_2ET,
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(67,plain,
    ~ mono_2Ec_2Ebool_2ET,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(400,plain,
    $false,
    inference(rewrite,[status(thm)],[391,67]) ).

thf(401,plain,
    $false,
    inference(simp,[status(thm)],[400]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : ITP001^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.00/0.10  % Command  : run_Leo-III %s %d
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Sat May 18 17:26:54 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.92/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.83/1.20  % [INFO] 	 Parsing done (322ms). 
% 1.83/1.21  % [INFO] 	 Running in sequential loop mode. 
% 2.34/1.44  % [INFO] 	 nitpick registered as external prover. 
% 2.34/1.45  % [INFO] 	 Scanning for conjecture ... 
% 2.63/1.52  % [INFO] 	 Found a conjecture (or negated_conjecture) and 97 axioms. Running axiom selection ... 
% 2.66/1.58  % [INFO] 	 Axiom selection finished. Selected 64 axioms (removed 33 axioms). 
% 3.15/1.70  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 3.15/1.71  % [INFO] 	 Type checking passed. 
% 3.15/1.72  % [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 ... 
% 7.16/2.73  % [INFO] 	 Killing All external provers ... 
% 7.16/2.74  % Time passed: 2302ms (effective reasoning time: 1515ms)
% 7.16/2.74  % 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)>
% 7.16/2.74  % Axioms used in derivation (1): thm_2Ebool_2ET__DEF
% 7.16/2.74  % No. of inferences in proof: 7
% 7.16/2.74  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2302 ms resp. 1515 ms w/o parsing
% 7.16/2.75  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.16/2.75  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------