%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : PUZ139_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n025.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 11:47:48 EDT 2023

% Result   : Theorem 2.64s 1.56s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   15 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :    8 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   36 (   3   ~;   0   |;   0   &;  33   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^;   3   !;   0   ?;   4   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(beverage_type,type,
    beverage: $tType ).

thf(syrup_type,type,
    syrup: $tType ).

thf(coffee_type,type,
    coffee: beverage ).

thf(vanilla_syrup_type,type,
    vanilla_syrup: syrup ).

thf(caramel_syrup_type,type,
    caramel_syrup: syrup ).

thf(mixture_type,type,
    mixture: 
      !>[TA: $tType] : ( TA > syrup > TA ) ).

thf(help_people_stay_awake_type,type,
    help_people_stay_awake: beverage > $o ).

thf(1,conjecture,
    help_people_stay_awake @ ( mixture @ beverage @ coffee @ ( mixture @ syrup @ caramel_syrup @ vanilla_syrup ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',caramel_vanilla_coffee_help_people_stay_awake) ).

thf(2,negated_conjecture,
    ~ ( help_people_stay_awake @ ( mixture @ beverage @ coffee @ ( mixture @ syrup @ caramel_syrup @ vanilla_syrup ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ( help_people_stay_awake @ ( mixture @ beverage @ coffee @ ( mixture @ syrup @ caramel_syrup @ vanilla_syrup ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: syrup] : ( help_people_stay_awake @ ( mixture @ beverage @ coffee @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixture_of_coffee_help_people_stay_awake) ).

thf(5,plain,
    ! [A: syrup] : ( help_people_stay_awake @ ( mixture @ beverage @ coffee @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(6,plain,
    ! [A: syrup] : ( help_people_stay_awake @ ( mixture @ beverage @ coffee @ A ) ),
    inference(cnf,[status(esa)],[5]) ).

thf(7,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[4,6]) ).

thf(8,plain,
    $false,
    inference(simp,[status(thm)],[7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ139_1 : TPTP v8.1.2. Released v6.1.0.
% 0.03/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n025.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 20:12:04 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.98/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.24/1.00  % [INFO] 	 Parsing done (124ms). 
% 1.24/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.61/1.21  % [INFO] 	 eprover registered as external prover. 
% 1.61/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.61/1.22  % [INFO] 	 Scanning for conjecture ... 
% 1.83/1.28  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.83/1.30  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.83/1.30  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 1.83/1.30  % [INFO] 	 Type checking passed. 
% 1.83/1.31  % [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 ... 
% 2.64/1.55  % [INFO] 	 Killing All external provers ... 
% 2.64/1.55  % Time passed: 1031ms (effective reasoning time: 536ms)
% 2.64/1.55  % 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)>
% 2.64/1.56  % Axioms used in derivation (1): mixture_of_coffee_help_people_stay_awake
% 2.64/1.56  % No. of inferences in proof: 8
% 2.64/1.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1031 ms resp. 536 ms w/o parsing
% 2.64/1.57  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.64/1.57  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------