%------------------------------------------------------------------------------
% File     : Leo-III---1.7.10
% Problem  : COL058-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Tue May  7 07:29:22 EDT 2024

% Result   : Unsatisfiable 3.01s 1.75s
% Output   : Refutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   2 typ;   0 def)
%            Number of atoms       :    5 (   4 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   22 (   2   ~;   0   |;   0   &;  20   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(response_type,type,
    response: $i > $i > $i ).

thf(lark_type,type,
    lark: $i ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ( ( response @ A @ A )
     != A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_bird_exists) ).

thf(3,plain,
    ! [A: $i] :
      ( ( response @ A @ A )
     != A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ( response @ ( response @ lark @ A ) @ B )
      = ( response @ A @ ( response @ B @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_exists) ).

thf(6,plain,
    ! [B: $i,A: $i] :
      ( ( response @ ( response @ lark @ A ) @ B )
      = ( response @ A @ ( response @ B @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(18,plain,
    $false,
    inference(e,[status(thm)],[3,6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COL058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.17  % Command  : run_Leo-III %s %d
% 0.17/0.38  % Computer : n025.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit : 300
% 0.17/0.38  % WCLimit  : 300
% 0.17/0.38  % DateTime : Mon May  6 14:04:39 EDT 2024
% 0.17/0.38  % CPUTime  : 
% 0.96/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.19/1.05  % [INFO] 	 Parsing done (114ms). 
% 1.40/1.06  % [INFO] 	 Running in sequential loop mode. 
% 1.83/1.28  % [INFO] 	 eprover registered as external prover. 
% 1.83/1.28  % [INFO] 	 cvc4 registered as external prover. 
% 1.83/1.28  % [INFO] 	 Scanning for conjecture ... 
% 1.83/1.33  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.99/1.35  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.99/1.35  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.99/1.35  % [INFO] 	 Type checking passed. 
% 1.99/1.35  % [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 ... 
% 3.01/1.75  % External prover 'e' found a proof!
% 3.01/1.75  % [INFO] 	 Killing All external provers ... 
% 3.01/1.75  % Time passed: 1194ms (effective reasoning time: 687ms)
% 3.01/1.75  % 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)>
% 3.01/1.75  % Axioms used in derivation (1): lark_exists
% 3.01/1.75  % No. of inferences in proof: 5
% 3.01/1.75  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1194 ms resp. 687 ms w/o parsing
% 3.05/1.76  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.05/1.76  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------