%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYN045-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n006.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 08:17:12 EDT 2024

% Result   : Unsatisfiable 2.47s 1.84s
% Output   : Refutation 2.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   30 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  11   ~;  12   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   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_type,type,
    p: $o ).

thf(q_type,type,
    q: $o ).

thf(r_type,type,
    r: $o ).

thf(4,negated_conjecture,
    ( ~ q
    | ~ r ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

thf(8,plain,
    ( ~ q
    | ~ r ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(12,plain,
    ( ~ q
    | ~ r ),
    inference(cnf,[status(esa)],[8]) ).

thf(2,negated_conjecture,
    ( p
    | r ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

thf(6,plain,
    ( p
    | r ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(10,plain,
    ( p
    | r ),
    inference(cnf,[status(esa)],[6]) ).

thf(3,negated_conjecture,
    ~ p,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

thf(7,plain,
    ~ p,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(11,plain,
    ~ p,
    inference(polarity_switch,[status(thm)],[7]) ).

thf(15,plain,
    ( $false
    | r ),
    inference(rewrite,[status(thm)],[10,11]) ).

thf(16,plain,
    r,
    inference(simp,[status(thm)],[15]) ).

thf(1,negated_conjecture,
    ( p
    | q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

thf(5,plain,
    ( p
    | q ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(9,plain,
    ( p
    | q ),
    inference(cnf,[status(esa)],[5]) ).

thf(13,plain,
    ( $false
    | q ),
    inference(rewrite,[status(thm)],[9,11]) ).

thf(14,plain,
    q,
    inference(simp,[status(thm)],[13]) ).

thf(17,plain,
    ( ~ $true
    | ~ $true ),
    inference(rewrite,[status(thm)],[12,16,14]) ).

thf(18,plain,
    $false,
    inference(simp,[status(thm)],[17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SYN045-1 : TPTP v8.2.0. Released v1.0.0.
% 0.02/0.12  % Command  : run_Leo-III %s %d
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Mon May 20 15:32:09 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 1.02/0.94  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.29/1.09  % [INFO] 	 Parsing done (143ms). 
% 1.29/1.10  % [INFO] 	 Running in sequential loop mode. 
% 1.70/1.46  % [INFO] 	 nitpick registered as external prover. 
% 1.70/1.46  % [INFO] 	 Scanning for conjecture ... 
% 1.98/1.54  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.98/1.56  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.98/1.56  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.98/1.57  % [INFO] 	 Type checking passed. 
% 1.98/1.57  % [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 ... 
% 2.47/1.84  % [INFO] 	 Killing All external provers ... 
% 2.47/1.84  % Time passed: 1361ms (effective reasoning time: 730ms)
% 2.47/1.84  % Axioms used in derivation (0): 
% 2.47/1.84  % No. of inferences in proof: 18
% 2.47/1.84  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1361 ms resp. 730 ms w/o parsing
% 2.47/1.87  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.47/1.87  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------