%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWW302+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n013.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 12:22:55 EDT 2023

% Result   : Theorem 5.82s 2.37s
% Output   : Refutation 6.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   1 unt;   3 typ;   0 def)
%            Number of atoms       :   17 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   45 (   2   ~;   0   |;   0   &;  32   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_P_type,type,
    v_P: $i > $i > $o ).

thf(v_Q_H_type,type,
    v_Q_H: $i > $i > $o ).

thf(v_Q_type,type,
    v_Q: $i > $i > $o ).

thf(1,conjecture,
    ! [A: $i,B: $i] :
      ( ( v_P @ A @ B )
     => ! [C: $i] :
          ( ! [D: $i] :
              ( ( v_P @ D @ B )
             => ( v_Q_H @ D @ C ) )
         => ( v_Q @ A @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( v_P @ A @ B )
       => ! [C: $i] :
            ( ! [D: $i] :
                ( ( v_P @ D @ B )
               => ( v_Q_H @ D @ C ) )
           => ( v_Q @ A @ C ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ! [A: $i,B: $i] :
        ( ( v_P @ A @ B )
       => ! [C: $i] :
            ( ! [D: $i] :
                ( ( v_P @ D @ B )
               => ( v_Q_H @ D @ C ) )
           => ( v_Q @ A @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( v_Q_H @ A @ B )
     => ( v_Q @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(8,plain,
    ! [A: $i,B: $i] :
      ( ( v_Q_H @ A @ B )
     => ( v_Q @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(10,plain,
    $false,
    inference(e,[status(thm)],[4,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW302+1 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n013.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu May 18 22:02:52 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.96/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 2.82/1.36  % [INFO] 	 Parsing done (502ms). 
% 2.82/1.37  % [INFO] 	 Running in sequential loop mode. 
% 3.36/1.58  % [INFO] 	 eprover registered as external prover. 
% 3.36/1.58  % [INFO] 	 cvc4 registered as external prover. 
% 3.36/1.59  % [INFO] 	 Scanning for conjecture ... 
% 4.79/1.99  % [INFO] 	 Found a conjecture and 5241 axioms. Running axiom selection ... 
% 4.95/2.06  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 5240 axioms). 
% 4.95/2.06  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 5.18/2.07  % [INFO] 	 Type checking passed. 
% 5.18/2.07  % [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 ... 
% 5.82/2.36  % External prover 'e' found a proof!
% 5.82/2.36  % [INFO] 	 Killing All external provers ... 
% 5.82/2.37  % Time passed: 1835ms (effective reasoning time: 994ms)
% 5.82/2.37  % 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)>
% 5.82/2.37  % Axioms used in derivation (1): conj_0
% 5.82/2.37  % No. of inferences in proof: 6
% 5.82/2.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1835 ms resp. 994 ms w/o parsing
% 6.11/2.40  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.11/2.40  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------