TSTP Solution File: SYO344^5 by Leo-III---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO344^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n029.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 08:56:27 EDT 2024

% Result   : Theorem 2.38s 1.61s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   1 unt;   3 typ;   0 def)
%            Number of atoms       :   10 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   20 (   8   ~;   6   |;   0   &;   6   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cD_type,type,
    cD: $i ).

thf(cQ_type,type,
    cQ: $i > $o ).

thf(cC_type,type,
    cC: $i ).

thf(1,conjecture,
    ( ( cC != cD )
    | ~ ( cQ @ cC )
    | ( cQ @ cD ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM618) ).

thf(2,negated_conjecture,
    ~ ( ( cC != cD )
      | ~ ( cQ @ cC )
      | ( cQ @ cD ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( cC != cD )
      | ~ ( cQ @ cC )
      | ( cQ @ cD ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(10,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYO344^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.16  % Command  : run_Leo-III %s %d
% 0.17/0.37  % Computer : n029.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Mon May 20 09:50:09 EDT 2024
% 0.17/0.38  % CPUTime  : 
% 0.99/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.13/1.00  % [INFO] 	 Parsing done (110ms). 
% 1.13/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.59/1.25  % [INFO] 	 eprover registered as external prover. 
% 1.70/1.25  % [INFO] 	 cvc4 registered as external prover. 
% 1.70/1.25  % [INFO] 	 Scanning for conjecture ... 
% 1.70/1.30  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.70/1.32  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.70/1.32  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.70/1.32  % [INFO] 	 Type checking passed. 
% 1.70/1.33  % [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 ... 
% 2.38/1.61  % External prover 'e' found a proof!
% 2.38/1.61  % [INFO] 	 Killing All external provers ... 
% 2.38/1.61  % Time passed: 1080ms (effective reasoning time: 600ms)
% 2.38/1.61  % 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)>
% 2.38/1.61  % Axioms used in derivation (0): 
% 2.38/1.61  % No. of inferences in proof: 4
% 2.38/1.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1080 ms resp. 600 ms w/o parsing
% 2.38/1.63  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.38/1.63  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------