%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEU844^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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 03:40:16 EDT 2024

% Result   : Theorem 2.41s 1.48s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   21 (   6 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   33 (   4   ~;   1   |;   3   &;  16   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

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

thf(cT_type,type,
    cT: a > $o ).

thf(sk1_type,type,
    sk1: a ).

thf(sk2_type,type,
    sk2: a ).

thf(1,conjecture,
    ( ! [A: a > $o,B: a > $o] : ( A = B )
   => ( ! [A: a] :
          ( ( cS @ A )
         => ( cT @ A ) )
      & ! [A: a] :
          ( ( cT @ A )
         => ( cS @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM8_pme) ).

thf(2,negated_conjecture,
    ~ ( ! [A: a > $o,B: a > $o] : ( A = B )
     => ( ! [A: a] :
            ( ( cS @ A )
           => ( cT @ A ) )
        & ! [A: a] :
            ( ( cT @ A )
           => ( cS @ A ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ! [A: a > $o,B: a > $o] : ( A = B )
     => ( ! [A: a] :
            ( ( cS @ A )
           => ( cT @ A ) )
        & ! [A: a] :
            ( ( cT @ A )
           => ( cS @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ( ~ ( cT @ sk1 )
    | ~ ( cS @ sk2 ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(5,plain,
    ! [B: a > $o,A: a > $o] : ( A = B ),
    inference(cnf,[status(esa)],[3]) ).

thf(9,plain,
    ! [B: a > $o,A: a > $o] : ( A = B ),
    inference(lifteq,[status(thm)],[5]) ).

thf(10,plain,
    ! [C: a,B: a > $o,A: a > $o] :
      ( ( A @ C )
      = ( B @ C ) ),
    inference(func_ext,[status(esa)],[9]) ).

thf(13,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[4,10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SEU844^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.11  % Command  : run_Leo-III %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Sun May 19 17:33:24 EDT 2024
% 0.11/0.30  % CPUTime  : 
% 0.76/0.72  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 0.85/0.82  % [INFO] 	 Parsing done (96ms). 
% 0.85/0.83  % [INFO] 	 Running in sequential loop mode. 
% 1.33/1.04  % [INFO] 	 eprover registered as external prover. 
% 1.33/1.05  % [INFO] 	 cvc4 registered as external prover. 
% 1.33/1.05  % [INFO] 	 Scanning for conjecture ... 
% 1.52/1.12  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.52/1.14  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.52/1.14  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.52/1.15  % [INFO] 	 Type checking passed. 
% 1.52/1.15  % [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 ... 
% 2.41/1.47  % [INFO] 	 Killing All external provers ... 
% 2.41/1.48  % Time passed: 1071ms (effective reasoning time: 642ms)
% 2.41/1.48  % 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)>
% 2.41/1.48  % Axioms used in derivation (0): 
% 2.41/1.48  % No. of inferences in proof: 8
% 2.41/1.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1071 ms resp. 642 ms w/o parsing
% 2.51/1.51  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.51/1.51  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------