%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO112^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n018.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 08:55:50 EDT 2024

% Result   : Theorem 2.46s 1.54s
% Output   : Refutation 2.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   22 (   9 equ;   0 cnn)
%            Maximal formula atoms :    1 (   5 avg)
%            Number of connectives :   14 (   2   ~;   0   |;   0   &;  12   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^   6   !;   6   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cP_type,type,
    cP: $i > $o ).

thf(1,conjecture,
    ( ( ! [A: $i] :
          ( ( cP @ A )
          = ( ? [B: $i] : ( cP @ B ) ) ) )
    = ( ( ! [A: $i] : ( cP @ A ) )
      = ( ? [A: $i] : ( cP @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM53) ).

thf(2,negated_conjecture,
    ( ( ! [A: $i] :
          ( ( cP @ A )
          = ( ? [B: $i] : ( cP @ B ) ) ) )
   != ( ( ! [A: $i] : ( cP @ A ) )
      = ( ? [A: $i] : ( cP @ A ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [A: $i] :
          ( ( cP @ A )
          = ( ? [B: $i] : ( cP @ B ) ) ) )
   != ( ( ! [A: $i] : ( cP @ A ) )
      = ( ? [A: $i] : ( cP @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(13,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO112^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n018.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 09:57:24 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.97/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.11/0.98  % [INFO] 	 Parsing done (100ms). 
% 1.11/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.66/1.21  % [INFO] 	 eprover registered as external prover. 
% 1.66/1.21  % [INFO] 	 cvc4 registered as external prover. 
% 1.66/1.21  % [INFO] 	 Scanning for conjecture ... 
% 1.87/1.26  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.87/1.28  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.87/1.28  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.87/1.29  % [INFO] 	 Type checking passed. 
% 1.87/1.29  % [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 ... 
% 2.46/1.54  % External prover 'e' found a proof!
% 2.46/1.54  % [INFO] 	 Killing All external provers ... 
% 2.46/1.54  % Time passed: 1003ms (effective reasoning time: 547ms)
% 2.46/1.54  % 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)>
% 2.46/1.54  % Axioms used in derivation (0): 
% 2.46/1.54  % No. of inferences in proof: 4
% 2.46/1.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1003 ms resp. 547 ms w/o parsing
% 2.68/1.56  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.68/1.56  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------