%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO306^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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 08:59:51 EDT 2024

% Result   : Theorem 2.07s 1.33s
% Output   : Refutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   2 unt;   2 typ;   0 def)
%            Number of atoms       :   10 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   24 (   2   ~;   0   |;   4   &;  12   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   2 con; 0-1 aty)
%            Number of variables   :   10 (   0   ^  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cT_type,type,
    cT: $i > $o ).

thf(cS_type,type,
    cS: $i > $o ).

thf(1,conjecture,
    ( ! [A: $i > $o] :
        ( ! [B: $i] : ( A @ B )
       => ! [B: $i] : ( A @ B ) )
   => ( ! [A: $i] :
          ( ( cS @ A )
          & ( cT @ A ) )
     => ! [A: $i] :
          ( ( cS @ A )
          & ( cT @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUP_BUG_2) ).

thf(2,negated_conjecture,
    ~ ( ! [A: $i > $o] :
          ( ! [B: $i] : ( A @ B )
         => ! [B: $i] : ( A @ B ) )
     => ( ! [A: $i] :
            ( ( cS @ A )
            & ( cT @ A ) )
       => ! [A: $i] :
            ( ( cS @ A )
            & ( cT @ A ) ) ) ),
    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
% 0.06/0.12  % Problem  : SYO306^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon May 20 09:19:54 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.92/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.19/0.94  % [INFO] 	 Parsing done (99ms). 
% 1.19/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.54/1.16  % [INFO] 	 nitpick registered as external prover. 
% 1.54/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.64/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.82/1.23  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.82/1.23  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.82/1.24  % [INFO] 	 Type checking passed. 
% 1.82/1.24  % [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 ... 
% 1.90/1.33  % [INFO] 	 Killing All external provers ... 
% 1.90/1.33  % Time passed: 815ms (effective reasoning time: 371ms)
% 1.90/1.33  % 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)>
% 1.90/1.33  % Axioms used in derivation (0): 
% 1.90/1.33  % No. of inferences in proof: 4
% 2.07/1.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 815 ms resp. 371 ms w/o parsing
% 2.07/1.35  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.07/1.36  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------