TSTP Solution File: SYN008-1 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n004.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 12:26:56 EDT 2023

% Result   : Unsatisfiable 2.48s 1.50s
% Output   : Refutation 2.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   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(6,negated_conjecture,
    ( ~ r
    | p
    | q ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

thf(9,plain,
    ( ~ r
    | p
    | q ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(14,plain,
    ( ~ r
    | p
    | q ),
    inference(cnf,[status(esa)],[9]) ).

thf(1,negated_conjecture,
    ~ p,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

thf(8,plain,
    ~ p,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(17,plain,
    ~ p,
    inference(polarity_switch,[status(thm)],[8]) ).

thf(3,negated_conjecture,
    r,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

thf(11,plain,
    r,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(2,negated_conjecture,
    ~ q,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

thf(10,plain,
    ~ q,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(13,plain,
    ~ q,
    inference(polarity_switch,[status(thm)],[10]) ).

thf(18,plain,
    ( ~ $true
    | $false
    | $false ),
    inference(rewrite,[status(thm)],[14,17,11,13]) ).

thf(19,plain,
    $false,
    inference(simp,[status(thm)],[18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SYN008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.16  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n004.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu May 18 19:46:40 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.96/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.30/0.96  % [INFO] 	 Parsing done (108ms). 
% 1.30/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.66/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.66/1.18  % [INFO] 	 cvc4 registered as external prover. 
% 1.66/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.89/1.23  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.91/1.25  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.91/1.25  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.91/1.25  % [INFO] 	 Type checking passed. 
% 1.91/1.26  % [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 ... 
% 2.48/1.49  % [INFO] 	 Killing All external provers ... 
% 2.48/1.50  % Time passed: 970ms (effective reasoning time: 524ms)
% 2.48/1.50  % 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)>
% 2.48/1.50  % Axioms used in derivation (0): 
% 2.48/1.50  % No. of inferences in proof: 13
% 2.48/1.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 970 ms resp. 524 ms w/o parsing
% 2.48/1.51  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.48/1.51  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------