%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN089-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Fri May 19 12:27:16 EDT 2023

% Result   : Unsatisfiable 2.41s 1.52s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :   20 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p_1_2_type,type,
    p_1_2: $o ).

thf(p_2_2_type,type,
    p_2_2: $o ).

thf(p_1_1_type,type,
    p_1_1: $o ).

thf(2,axiom,
    ( p_1_2
    | ~ p_2_2
    | ~ p_1_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_type11_1) ).

thf(16,plain,
    ( p_1_2
    | ~ p_2_2
    | ~ p_1_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(17,plain,
    ( p_1_2
    | ~ p_2_2
    | ~ p_1_1 ),
    inference(cnf,[status(esa)],[16]) ).

thf(10,axiom,
    p_1_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_1) ).

thf(32,plain,
    p_1_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(12,axiom,
    p_2_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_3) ).

thf(34,plain,
    p_2_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(1,negated_conjecture,
    ~ p_1_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_goal_1) ).

thf(14,plain,
    ~ p_1_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(15,plain,
    ~ p_1_2,
    inference(polarity_switch,[status(thm)],[14]) ).

thf(36,plain,
    ( $false
    | ~ $true
    | ~ $true ),
    inference(rewrite,[status(thm)],[17,32,34,15]) ).

thf(37,plain,
    $false,
    inference(simp,[status(thm)],[36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN089-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n002.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 19:45:05 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.85/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.23/0.96  % [INFO] 	 Parsing done (113ms). 
% 1.23/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.70/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.70/1.18  % [INFO] 	 cvc4 registered as external prover. 
% 1.70/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.77/1.23  % [INFO] 	 Found a conjecture and 12 axioms. Running axiom selection ... 
% 1.86/1.25  % [INFO] 	 Axiom selection finished. Selected 12 axioms (removed 0 axioms). 
% 1.86/1.25  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.86/1.26  % [INFO] 	 Type checking passed. 
% 1.86/1.26  % [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 ... 
% 2.41/1.52  % [INFO] 	 Killing All external provers ... 
% 2.41/1.52  % Time passed: 997ms (effective reasoning time: 545ms)
% 2.41/1.52  % 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)>
% 2.41/1.52  % Axioms used in derivation (3): s2_type11_1, t2_1, t2_3
% 2.41/1.52  % No. of inferences in proof: 12
% 2.41/1.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 997 ms resp. 545 ms w/o parsing
% 2.41/1.54  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.41/1.54  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------