%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n025.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 12:28:37 EDT 2023

% Result   : Theorem 2.61s 1.57s
% Output   : Refutation 2.61s
% 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       :   53 (   0 equ;   0 cnn)
%            Maximal formula atoms :   40 (  13 avg)
%            Number of connectives :   51 (   2   ~;   0   |;  13   &;   0   @)
%                                         (  10 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 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(p1_type,type,
    p1: $o ).

thf(p2_type,type,
    p2: $o ).

thf(p3_type,type,
    p3: $o ).

thf(1,conjecture,
    ( ( ( p1
      <=> p2 )
    <=> p3 )
  <=> ( p1
    <=> ( p2
      <=> p3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel12) ).

thf(2,negated_conjecture,
    ~ ( ( ( p1
        <=> p2 )
      <=> p3 )
    <=> ( p1
      <=> ( p2
        <=> p3 ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ( ( ( ( p1
               => p2 )
              & ( p2
               => p1 ) )
           => p3 )
          & ( p3
           => ( ( p1
               => p2 )
              & ( p2
               => p1 ) ) ) )
       => ( ( p1
           => ( ( p2
               => p3 )
              & ( p3
               => p2 ) ) )
          & ( ( ( p2
               => p3 )
              & ( p3
               => p2 ) )
           => p1 ) ) )
      & ( ( ( p1
           => ( ( p2
               => p3 )
              & ( p3
               => p2 ) ) )
          & ( ( ( p2
               => p3 )
              & ( p3
               => p2 ) )
           => p1 ) )
       => ( ( ( ( p1
               => p2 )
              & ( p2
               => p1 ) )
           => p3 )
          & ( p3
           => ( ( p1
               => p2 )
              & ( p2
               => p1 ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(34,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 19:48:19 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.94/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.21/0.99  % [INFO] 	 Parsing done (109ms). 
% 1.21/1.00  % [INFO] 	 Running in sequential loop mode. 
% 1.58/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.58/1.20  % [INFO] 	 cvc4 registered as external prover. 
% 1.58/1.21  % [INFO] 	 Scanning for conjecture ... 
% 1.73/1.24  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.81/1.26  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.81/1.26  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.81/1.27  % [INFO] 	 Type checking passed. 
% 1.81/1.27  % [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 ... 
% 2.61/1.57  % External prover 'e' found a proof!
% 2.61/1.57  % [INFO] 	 Killing All external provers ... 
% 2.61/1.57  % Time passed: 1048ms (effective reasoning time: 563ms)
% 2.61/1.57  % 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)>
% 2.61/1.57  % Axioms used in derivation (0): 
% 2.61/1.57  % No. of inferences in proof: 4
% 2.61/1.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1048 ms resp. 563 ms w/o parsing
% 2.61/1.58  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.61/1.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------