%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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 12:27:10 EDT 2023

% Result   : Theorem 3.07s 1.71s
% Output   : Refutation 3.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :   18 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   44 (   2   ~;   4   |;   0   &;  34   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 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   :   20 (   0   ^;  13   !;   7   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_h_type,type,
    big_h: $i > $i > $o ).

thf(big_f_type,type,
    big_f: $i > $i > $o ).

thf(big_g_type,type,
    big_g: $i > $i > $o ).

thf(1,conjecture,
    ! [A: $i] :
    ? [B: $i] : ( big_h @ A @ B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
      ? [B: $i] : ( big_h @ A @ B ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ ! [A: $i] :
      ? [B: $i] : ( big_h @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i] :
    ? [B: $i] : ( big_f @ A @ B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_1) ).

thf(8,plain,
    ! [A: $i] :
    ? [B: $i] : ( big_f @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ! [A: $i] :
    ? [B: $i] : ( big_g @ A @ B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_2) ).

thf(10,plain,
    ! [A: $i] :
    ? [B: $i] : ( big_g @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( ( big_f @ A @ B )
        | ( big_g @ A @ B ) )
     => ! [C: $i] :
          ( ( ( big_f @ B @ C )
            | ( big_g @ B @ C ) )
         => ( big_h @ A @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_3) ).

thf(12,plain,
    ! [A: $i,B: $i] :
      ( ( ( big_f @ A @ B )
        | ( big_g @ A @ B ) )
     => ! [C: $i] :
          ( ( ( big_f @ B @ C )
            | ( big_g @ B @ C ) )
         => ( big_h @ A @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(24,plain,
    $false,
    inference(e,[status(thm)],[6,8,10,12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n022.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu May 18 19:53:32 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 1.02/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.32/1.03  % [INFO] 	 Parsing done (121ms). 
% 1.32/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.69/1.24  % [INFO] 	 eprover registered as external prover. 
% 1.69/1.25  % [INFO] 	 cvc4 registered as external prover. 
% 1.69/1.25  % [INFO] 	 Scanning for conjecture ... 
% 1.69/1.29  % [INFO] 	 Found a conjecture and 3 axioms. Running axiom selection ... 
% 1.92/1.31  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 1.92/1.32  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.92/1.32  % [INFO] 	 Type checking passed. 
% 1.92/1.33  % [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 ... 
% 3.07/1.70  % External prover 'e' found a proof!
% 3.07/1.70  % [INFO] 	 Killing All external provers ... 
% 3.07/1.70  % Time passed: 1186ms (effective reasoning time: 657ms)
% 3.07/1.70  % 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)>
% 3.07/1.70  % Axioms used in derivation (3): pel36_1, pel36_2, pel36_3
% 3.07/1.70  % No. of inferences in proof: 10
% 3.07/1.71  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1186 ms resp. 657 ms w/o parsing
% 3.07/1.74  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.07/1.74  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------