%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYO368_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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 : Fri May 19 12:35:47 EDT 2023

% Result   : Theorem 2.58s 1.53s
% Output   : Refutation 2.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   45 (   3 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   36 (  11   ~;   4   |;   4   &;  10   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $o ).

thf(cP_type,type,
    cP: $o > $o ).

thf(a_type,type,
    a: $o ).

thf(1,conjecture,
    ( ( ( a
      <=> b )
      & ( cP @ a ) )
   => ( cP @ b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT1) ).

thf(2,negated_conjecture,
    ~ ( ( ( a
        <=> b )
        & ( cP @ a ) )
     => ( cP @ b ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ( a
         => b )
        & ( b
         => a )
        & ( cP @ a ) )
     => ( cP @ b ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,plain,
    ( ~ a
    | b ),
    inference(cnf,[status(esa)],[3]) ).

thf(5,plain,
    cP @ a,
    inference(cnf,[status(esa)],[3]) ).

thf(4,plain,
    ~ ( cP @ b ),
    inference(cnf,[status(esa)],[3]) ).

thf(8,plain,
    ( ( cP @ a )
   != ( cP @ b ) ),
    inference(paramod_ordered,[status(thm)],[5,4]) ).

thf(9,plain,
    a != b,
    inference(simp,[status(thm)],[8]) ).

thf(6,plain,
    ( ~ b
    | a ),
    inference(cnf,[status(esa)],[3]) ).

thf(14,plain,
    ( ~ b
    | ( a != a ) ),
    inference(paramod_ordered,[status(thm)],[6,9]) ).

thf(15,plain,
    ~ b,
    inference(pattern_uni,[status(thm)],[14:[]]) ).

thf(17,plain,
    a,
    inference(rewrite,[status(thm)],[9,15]) ).

thf(20,plain,
    ( ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[7,17,15]) ).

thf(21,plain,
    $false,
    inference(simp,[status(thm)],[20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO368_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n014.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 : Thu May 18 18:21:13 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.96/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.21/0.94  % [INFO] 	 Parsing done (103ms). 
% 1.21/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.56/1.15  % [INFO] 	 eprover registered as external prover. 
% 1.56/1.15  % [INFO] 	 cvc4 registered as external prover. 
% 1.65/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.65/1.20  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.65/1.22  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.65/1.22  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 1.65/1.22  % [INFO] 	 Type checking passed. 
% 1.65/1.23  % [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 ... 
% 2.40/1.53  % [INFO] 	 Killing All external provers ... 
% 2.40/1.53  % Time passed: 1012ms (effective reasoning time: 573ms)
% 2.40/1.53  % 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)>
% 2.40/1.53  % Axioms used in derivation (0): 
% 2.58/1.53  % No. of inferences in proof: 14
% 2.58/1.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1012 ms resp. 573 ms w/o parsing
% 2.58/1.55  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.58/1.55  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------