%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYN395+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 08:11:54 EDT 2024

% Result   : Theorem 2.51s 1.49s
% Output   : Refutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   22 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   37 (   7   ~;   2   |;   0   &;  19   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (   0   ^   8   !;   6   ?;  14   :)

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

thf(g_type,type,
    g: $i > $o ).

thf(sk1_type,type,
    sk1: $i ).

thf(1,conjecture,
    ( ! [A: $i] :
        ( ( f @ A )
       => ( g @ A ) )
   => ( ? [A: $i] : ( f @ A )
     => ? [A: $i] : ( g @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish202) ).

thf(2,negated_conjecture,
    ~ ( ! [A: $i] :
          ( ( f @ A )
         => ( g @ A ) )
     => ( ? [A: $i] : ( f @ A )
       => ? [A: $i] : ( g @ A ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ! [A: $i] :
          ( ( f @ A )
         => ( g @ A ) )
     => ( ? [A: $i] : ( f @ A )
       => ? [A: $i] : ( g @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    f @ sk1,
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    ! [A: $i] :
      ( ~ ( f @ A )
      | ( g @ A ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(4,plain,
    ! [A: $i] :
      ~ ( g @ A ),
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    ! [A: $i] :
      ~ ( g @ A ),
    inference(simp,[status(thm)],[4]) ).

thf(8,plain,
    ! [A: $i] :
      ( ~ ( f @ A )
      | $false ),
    inference(rewrite,[status(thm)],[6,7]) ).

thf(9,plain,
    ! [A: $i] :
      ~ ( f @ A ),
    inference(simp,[status(thm)],[8]) ).

thf(10,plain,
    $false,
    inference(rewrite,[status(thm)],[5,9]) ).

thf(11,plain,
    $false,
    inference(simp,[status(thm)],[10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN395+1 : TPTP v8.2.0. Released v2.0.0.
% 0.10/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n024.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 13:50:09 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.99/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.13/0.96  % [INFO] 	 Parsing done (90ms). 
% 1.13/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.49/1.17  % [INFO] 	 eprover registered as external prover. 
% 1.49/1.17  % [INFO] 	 cvc4 registered as external prover. 
% 1.49/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.78/1.22  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.82/1.24  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.82/1.24  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.82/1.24  % [INFO] 	 Type checking passed. 
% 1.82/1.25  % [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 ... 
% 2.51/1.48  % [INFO] 	 Killing All external provers ... 
% 2.51/1.49  % Time passed: 952ms (effective reasoning time: 510ms)
% 2.51/1.49  % 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)>
% 2.51/1.49  % Axioms used in derivation (0): 
% 2.51/1.49  % No. of inferences in proof: 11
% 2.51/1.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 952 ms resp. 510 ms w/o parsing
% 2.70/1.54  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.70/1.54  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------