%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN044+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri May 19 12:27:02 EDT 2023

% Result   : Theorem 2.45s 1.45s
% Output   : Refutation 2.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   1 unt;   3 typ;   0 def)
%            Number of atoms       :   25 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   17 (   2   ~;   2   |;   3   &;   0   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p_type,type,
    p: $o ).

thf(q_type,type,
    q: $o ).

thf(r_type,type,
    r: $o ).

thf(1,conjecture,
    ( p
  <=> q ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10) ).

thf(2,negated_conjecture,
    ~ ( p
    <=> q ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ ( ( p
       => q )
      & ( q
       => p ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ( q
   => r ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_1) ).

thf(11,plain,
    ( q
   => r ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ( r
   => ( p
      & q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_2) ).

thf(13,plain,
    ( r
   => ( p
      & q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ( p
   => ( q
      | r ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_3) ).

thf(16,plain,
    ( p
   => ( q
      | r ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(20,plain,
    $false,
    inference(e,[status(thm)],[6,11,13,16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN044+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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 19:55:59 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.95/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.02/0.93  % [INFO] 	 Parsing done (101ms). 
% 1.23/0.94  % [INFO] 	 Running in sequential loop mode. 
% 1.47/1.14  % [INFO] 	 eprover registered as external prover. 
% 1.47/1.14  % [INFO] 	 cvc4 registered as external prover. 
% 1.63/1.15  % [INFO] 	 Scanning for conjecture ... 
% 1.63/1.18  % [INFO] 	 Found a conjecture and 3 axioms. Running axiom selection ... 
% 1.73/1.20  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 1.73/1.20  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.73/1.21  % [INFO] 	 Type checking passed. 
% 1.73/1.21  % [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 ... 
% 2.45/1.44  % External prover 'e' found a proof!
% 2.45/1.45  % [INFO] 	 Killing All external provers ... 
% 2.45/1.45  % Time passed: 936ms (effective reasoning time: 503ms)
% 2.45/1.45  % 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)>
% 2.45/1.45  % Axioms used in derivation (3): pel10_1, pel10_2, pel10_3
% 2.45/1.45  % No. of inferences in proof: 10
% 2.45/1.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 936 ms resp. 503 ms w/o parsing
% 2.45/1.46  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.45/1.46  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------