%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN000+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.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 12:26:54 EDT 2023

% Result   : Theorem 3.43s 1.84s
% Output   : Refutation 3.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   8 unt;   2 typ;   0 def)
%            Number of atoms       :    8 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    9 (   3   ~;   0   |;   0   &;   6   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   0   ^;   1   !;   3   ?;   4   :)

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

thf(h_type,type,
    h: $i ).

thf(13,axiom,
    p @ h,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',role_hypothesis) ).

thf(52,plain,
    p @ h,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

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

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

thf(14,plain,
    ~ ? [A: $i] : ( p @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(15,plain,
    ! [A: $i] :
      ~ ( p @ A ),
    inference(cnf,[status(esa)],[14]) ).

thf(53,plain,
    $false,
    inference(rewrite,[status(thm)],[52,15]) ).

thf(54,plain,
    $false,
    inference(simp,[status(thm)],[53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN000+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n026.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 20:06:21 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.84/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.12/0.97  % [INFO] 	 Parsing done (117ms). 
% 1.12/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.68/1.19  % [INFO] 	 eprover registered as external prover. 
% 1.68/1.19  % [INFO] 	 cvc4 registered as external prover. 
% 1.72/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.78/1.28  % [INFO] 	 Found a conjecture and 11 axioms. Running axiom selection ... 
% 1.94/1.31  % [INFO] 	 Axiom selection finished. Selected 11 axioms (removed 0 axioms). 
% 1.94/1.33  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.94/1.34  % [INFO] 	 Type checking passed. 
% 1.94/1.34  % [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 ... 
% 3.43/1.84  % [INFO] 	 Killing All external provers ... 
% 3.43/1.84  % Time passed: 1326ms (effective reasoning time: 857ms)
% 3.43/1.84  % 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)>
% 3.43/1.84  % Axioms used in derivation (1): role_hypothesis
% 3.43/1.84  % No. of inferences in proof: 8
% 3.43/1.84  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1326 ms resp. 857 ms w/o parsing
% 3.43/1.86  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.43/1.86  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------