TSTP Solution File: SYN044-1 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN044-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n031.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 12:27:02 EDT 2023

% Result   : Unsatisfiable 2.53s 1.53s
% Output   : Refutation 2.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (   1 unt;   3 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   26 (  12   ~;  14   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   4 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,axiom,
    ( ~ r
    | p ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

thf(13,plain,
    ( ~ r
    | p ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(6,axiom,
    ( ~ p
    | q
    | r ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

thf(17,plain,
    ( ~ p
    | q
    | r ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(1,negated_conjecture,
    ( ~ p
    | ~ q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

thf(7,plain,
    ( ~ p
    | ~ q ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(3,axiom,
    ( ~ q
    | r ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

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

thf(2,negated_conjecture,
    ( p
    | q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

thf(8,plain,
    ( p
    | q ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,axiom,
    ( ~ r
    | q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

thf(15,plain,
    ( ~ r
    | q ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(19,plain,
    $false,
    inference(cvc4,[status(thm)],[13,17,7,11,8,15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN044-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 20:05:41 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.98/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.11/1.01  % [INFO] 	 Parsing done (115ms). 
% 1.11/1.02  % [INFO] 	 Running in sequential loop mode. 
% 1.63/1.22  % [INFO] 	 eprover registered as external prover. 
% 1.63/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.72/1.22  % [INFO] 	 Scanning for conjecture ... 
% 1.75/1.27  % [INFO] 	 Found a conjecture and 4 axioms. Running axiom selection ... 
% 1.75/1.29  % [INFO] 	 Axiom selection finished. Selected 4 axioms (removed 0 axioms). 
% 1.75/1.29  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.75/1.29  % [INFO] 	 Type checking passed. 
% 1.75/1.29  % [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 ... 
% 2.43/1.53  % External prover 'cvc4' found a proof!
% 2.43/1.53  % [INFO] 	 Killing All external provers ... 
% 2.43/1.53  % Time passed: 1012ms (effective reasoning time: 510ms)
% 2.43/1.53  % 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)>
% 2.53/1.53  % Axioms used in derivation (4): clause_2, clause_4, clause_1, clause_3
% 2.53/1.53  % No. of inferences in proof: 13
% 2.53/1.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1012 ms resp. 510 ms w/o parsing
% 2.53/1.56  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.53/1.56  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------