%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n012.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 12:27:15 EDT 2023

% Result   : Theorem 2.56s 1.53s
% Output   : Refutation 2.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   1 unt;   2 typ;   0 def)
%            Number of atoms       :   13 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (   8   ~;   0   |;   4   &;  18   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    5 (   0   ^;   2   !;   3   ?;   5   :)

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

thf(f_type,type,
    f: $i > $i ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( big_f @ A )
      & ~ ( big_f @ ( f @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel59) ).

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

thf(4,plain,
    ~ ? [A: $i] :
        ( ( big_f @ A )
        & ~ ( big_f @ ( f @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( big_f @ A )
    <=> ~ ( big_f @ ( f @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel59_1) ).

thf(6,plain,
    ! [A: $i] :
      ( ( ( big_f @ A )
       => ~ ( big_f @ ( f @ A ) ) )
      & ( ~ ( big_f @ ( f @ A ) )
       => ( big_f @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(14,plain,
    $false,
    inference(e,[status(thm)],[4,6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n012.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 19:25:48 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.84/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.18/0.95  % [INFO] 	 Parsing done (107ms). 
% 1.18/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.47/1.15  % [INFO] 	 eprover registered as external prover. 
% 1.47/1.15  % [INFO] 	 cvc4 registered as external prover. 
% 1.47/1.15  % [INFO] 	 Scanning for conjecture ... 
% 1.71/1.19  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.71/1.22  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.71/1.22  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.71/1.22  % [INFO] 	 Type checking passed. 
% 1.71/1.23  % [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 ... 
% 2.48/1.53  % External prover 'e' found a proof!
% 2.48/1.53  % [INFO] 	 Killing All external provers ... 
% 2.48/1.53  % Time passed: 1007ms (effective reasoning time: 570ms)
% 2.48/1.53  % 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)>
% 2.56/1.53  % Axioms used in derivation (1): pel59_1
% 2.56/1.53  % No. of inferences in proof: 6
% 2.56/1.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1007 ms resp. 570 ms w/o parsing
% 2.58/1.58  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.58/1.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------