TSTP Solution File: SYO299^5 by Leo-III---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO299^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.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 08:56:21 EDT 2024

% Result   : Theorem 2.62s 1.62s
% Output   : Refutation 2.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :    5 (   2   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^   9   !;   3   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(1,conjecture,
    ! [A: $o,B: $o,C: $o] :
    ? [D: $o] :
      ( ( ( A = B )
        = C )
     => ( A
        = ( B = D ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM51) ).

thf(2,negated_conjecture,
    ~ ! [A: $o,B: $o,C: $o] :
      ? [D: $o] :
        ( ( ( A = B )
          = C )
       => ( A
          = ( B = D ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: $o,B: $o,C: $o] :
      ? [D: $o] :
        ( ( ( A = B )
          = C )
       => ( A
          = ( B = D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(18,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO299^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n026.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 08:48:38 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.98/0.90  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.09/1.01  % [INFO] 	 Parsing done (108ms). 
% 1.29/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.69/1.24  % [INFO] 	 eprover registered as external prover. 
% 1.69/1.24  % [INFO] 	 cvc4 registered as external prover. 
% 1.69/1.25  % [INFO] 	 Scanning for conjecture ... 
% 1.69/1.30  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.69/1.32  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.69/1.32  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.69/1.32  % [INFO] 	 Type checking passed. 
% 1.69/1.32  % [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 ... 
% 2.62/1.62  % External prover 'e' found a proof!
% 2.62/1.62  % [INFO] 	 Killing All external provers ... 
% 2.62/1.62  % Time passed: 1099ms (effective reasoning time: 598ms)
% 2.62/1.62  % 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)>
% 2.62/1.62  % Axioms used in derivation (0): 
% 2.62/1.62  % No. of inferences in proof: 4
% 2.62/1.62  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1099 ms resp. 598 ms w/o parsing
% 2.68/1.64  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.68/1.64  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------