%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO058^4 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n002.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 : Tue May 21 08:59:08 EDT 2024

% Result   : Theorem 2.89s 1.93s
% Output   : Refutation 2.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   8 unt;   4 typ;   2 def)
%            Number of atoms       :   20 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   4   ~;   0   |;   0   &;  11   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   1   ^   3   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iatom_type,type,
    iatom: ( $i > $o ) > $i > $o ).

thf(iatom_def,definition,
    ( iatom
    = ( ^ [A: $i > $o] : A ) ) ).

thf(ivalid_type,type,
    ivalid: ( $i > $o ) > $o ).

thf(ivalid_def,definition,
    ( ivalid
    = ( '!' @ $i ) ) ).

thf(a_type,type,
    a: $i > $o ).

thf(sk1_type,type,
    sk1: $i ).

thf(1,conjecture,
    ivalid @ ( iatom @ a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ( ivalid @ ( iatom @ a ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

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

thf(7,plain,
    ~ ( a @ sk1 ),
    inference(cnf,[status(esa)],[6]) ).

thf(5,axiom,
    ivalid @ ( iatom @ a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).

thf(12,plain,
    ! [A: $i] : ( a @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(13,plain,
    ! [A: $i] : ( a @ A ),
    inference(cnf,[status(esa)],[12]) ).

thf(14,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[7,13]) ).

thf(15,plain,
    $false,
    inference(simp,[status(thm)],[14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO058^4 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_Leo-III %s %d
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon May 20 09:46:54 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 1.07/1.02  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.57/1.24  % [INFO] 	 Parsing done (214ms). 
% 1.57/1.25  % [INFO] 	 Running in sequential loop mode. 
% 2.04/1.58  % [INFO] 	 nitpick registered as external prover. 
% 2.04/1.58  % [INFO] 	 Scanning for conjecture ... 
% 2.26/1.66  % [INFO] 	 Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ... 
% 2.26/1.68  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 2.26/1.68  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.26/1.69  % [INFO] 	 Type checking passed. 
% 2.26/1.69  % [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 ... 
% 2.89/1.92  % [INFO] 	 Killing All external provers ... 
% 2.89/1.92  % Time passed: 1424ms (effective reasoning time: 666ms)
% 2.89/1.92  % 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)>
% 2.89/1.93  % Axioms used in derivation (1): axiom1
% 2.89/1.93  % No. of inferences in proof: 9
% 2.89/1.93  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1424 ms resp. 666 ms w/o parsing
% 2.89/1.95  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.89/1.95  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------