%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO501^1 : TPTP v8.2.0. Released v4.1.0.
% 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 : Tue May 21 09:00:45 EDT 2024

% Result   : Theorem 1.93s 1.44s
% Output   : Refutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    8 (   2 unt;   4 typ;   0 def)
%            Number of atoms       :   10 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   22 (   8   ~;   2   |;   0   &;  12   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(x_type,type,
    x: $i ).

thf(y_type,type,
    y: $o ).

thf(f_type,type,
    f: $i > $o > $i ).

thf(p_type,type,
    p: $i > $o ).

thf(1,conjecture,
    ( ~ ( p
        @ ( f @ x
          @ ~ ~ y ) )
    | ( p @ ( f @ x @ y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim) ).

thf(2,negated_conjecture,
    ~ ( ~ ( p
          @ ( f @ x
            @ ~ ~ y ) )
      | ( p @ ( f @ x @ y ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    $false,
    inference(simp,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYO501^1 : TPTP v8.2.0. Released v4.1.0.
% 0.08/0.16  % 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 : Mon May 20 10:36:24 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.99/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.27/1.04  % [INFO] 	 Parsing done (109ms). 
% 1.27/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.61/1.27  % [INFO] 	 nitpick registered as external prover. 
% 1.61/1.28  % [INFO] 	 Scanning for conjecture ... 
% 1.80/1.32  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.80/1.34  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.80/1.34  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.80/1.34  % [INFO] 	 Type checking passed. 
% 1.80/1.35  % [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 ... 
% 1.93/1.43  % [INFO] 	 Killing All external provers ... 
% 1.93/1.44  % Time passed: 872ms (effective reasoning time: 382ms)
% 1.93/1.44  % 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)>
% 1.93/1.44  % Axioms used in derivation (0): 
% 1.93/1.44  % No. of inferences in proof: 4
% 1.93/1.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 872 ms resp. 382 ms w/o parsing
% 2.08/1.46  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.08/1.46  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------