%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : ITP030^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n021.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  7 10:36:08 EDT 2024

% Result   : ContradictoryAxioms 8.85s 3.00s
% Output   : Refutation 9.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   14 (   3 unt;  11 typ;   0 def)
%            Number of atoms       :    3 (   1 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   1   ~;   0   |;   0   &;   2   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    9 (   9 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(binary1176601351tion_a_type,type,
    binary1176601351tion_a: $tType ).

thf(set_option_option_a_type,type,
    set_option_option_a: $tType ).

thf(binary1439146945Tree_a_type,type,
    binary1439146945Tree_a: $tType ).

thf(option_option_a_type,type,
    option_option_a: $tType ).

thf(set_option_a_type,type,
    set_option_a: $tType ).

thf(option_a_type,type,
    option_a: $tType ).

thf(set_a_type,type,
    set_a: $tType ).

thf(int_type,type,
    int: $tType ).

thf(a_type,type,
    a: $tType ).

thf(h_type,type,
    h: a > int ).

thf(x_type,type,
    x: a ).

thf(7,axiom,
    ( ( h @ x )
   != ( h @ x ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__092_060open_062h_Ax_A_092_060noteq_062_Ah_Ax_092_060close_062) ).

thf(364,plain,
    $false,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(365,plain,
    $false,
    inference(simp,[status(thm)],[364]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ITP030^1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.38  % Computer : n021.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Mon May  6 22:07:09 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.98/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.78/1.13  % [INFO] 	 Parsing done (246ms). 
% 1.78/1.14  % [INFO] 	 Running in sequential loop mode. 
% 2.59/1.36  % [INFO] 	 nitpick registered as external prover. 
% 2.59/1.37  % [INFO] 	 Scanning for conjecture ... 
% 3.05/1.46  % [INFO] 	 Found a conjecture and 354 axioms. Running axiom selection ... 
% 3.10/1.49  % [INFO] 	 Axiom selection finished. Selected 354 axioms (removed 0 axioms). 
% 3.55/1.68  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 3.81/1.70  % [INFO] 	 Type checking passed. 
% 3.81/1.71  % [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 ... 
% 8.85/2.99  % [INFO] 	 Killing All external provers ... 
% 8.85/2.99  % Time passed: 2438ms (effective reasoning time: 1848ms)
% 8.85/3.00  % Axioms used in derivation (1): fact_4__092_060open_062h_Ax_A_092_060noteq_062_Ah_Ax_092_060close_062
% 8.85/3.00  % No. of inferences in proof: 3
% 8.85/3.00  % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 2438 ms resp. 1848 ms w/o parsing
% 9.73/3.15  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.73/3.15  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------