%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : MSC011+1 : TPTP v8.1.2. Released v3.2.0.
% 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 11:35:48 EDT 2023

% Result   : Theorem 2.46s 1.51s
% Output   : Refutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   14 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   18 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (   2   ~;   0   |;   4   &;   8   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    6 (   0   ^;   4   !;   2   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(goal_type,type,
    goal: $o ).

thf(drunk_type,type,
    drunk: $i > $o ).

thf(not_drunk_type,type,
    not_drunk: $i > $o ).

thf(neg_psi_type,type,
    neg_psi: $o ).

thf(1,conjecture,
    goal,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).

thf(2,negated_conjecture,
    ~ goal,
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ goal,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( ( drunk @ A )
        & ( not_drunk @ A ) )
     => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_cons) ).

thf(7,plain,
    ! [A: $i] :
      ( ( ( drunk @ A )
        & ( not_drunk @ A ) )
     => goal ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( drunk @ A )
      & neg_psi ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg_phi) ).

thf(10,plain,
    ! [A: $i] :
      ( ( drunk @ A )
      & neg_psi ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ( neg_psi
   => ? [A: $i] : ( not_drunk @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg_psi_ax) ).

thf(14,plain,
    ( neg_psi
   => ? [A: $i] : ( not_drunk @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(16,plain,
    $false,
    inference(e,[status(thm)],[6,7,10,14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : MSC011+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n022.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 15:15:33 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.86/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.23/0.96  % [INFO] 	 Parsing done (110ms). 
% 1.23/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.66/1.17  % [INFO] 	 eprover registered as external prover. 
% 1.66/1.18  % [INFO] 	 cvc4 registered as external prover. 
% 1.66/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.71/1.22  % [INFO] 	 Found a conjecture and 3 axioms. Running axiom selection ... 
% 1.83/1.24  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 1.85/1.25  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.85/1.25  % [INFO] 	 Type checking passed. 
% 1.85/1.25  % [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 ... 
% 2.46/1.50  % External prover 'e' found a proof!
% 2.46/1.50  % [INFO] 	 Killing All external provers ... 
% 2.46/1.50  % Time passed: 989ms (effective reasoning time: 535ms)
% 2.46/1.50  % 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)>
% 2.46/1.50  % Axioms used in derivation (3): d_cons, neg_phi, neg_psi_ax
% 2.46/1.51  % No. of inferences in proof: 10
% 2.46/1.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 989 ms resp. 535 ms w/o parsing
% 2.60/1.54  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.60/1.54  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------