%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYN049-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n019.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 08:17:14 EDT 2024

% Result   : Unsatisfiable 2.61s 1.93s
% Output   : Refutation 2.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   14 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   28 (   7   ~;   4   |;   0   &;  17   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (   0   ^   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_p_type,type,
    big_p: $i > $o ).

thf(f_type,type,
    f: $i > $i ).

thf(big_q_type,type,
    big_q: $i > $o ).

thf(g_type,type,
    g: $i > $i ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ( ~ ( big_p @ ( f @ A ) )
      | ( big_q @ ( g @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

thf(4,plain,
    ! [A: $i] :
      ( ~ ( big_p @ ( f @ A ) )
      | ( big_q @ ( g @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(7,plain,
    ! [A: $i] :
      ( ~ ( big_p @ ( f @ A ) )
      | ( big_q @ ( g @ A ) ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( big_p @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

thf(5,plain,
    ! [A: $i] : ( big_p @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,negated_conjecture,
    ! [A: $i] :
      ~ ( big_q @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

thf(6,plain,
    ! [A: $i] :
      ~ ( big_q @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(8,plain,
    ! [A: $i] :
      ~ ( big_q @ A ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(9,plain,
    ( ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[7,5,8]) ).

thf(10,plain,
    $false,
    inference(simp,[status(thm)],[9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN049-1 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.12  % Command  : run_Leo-III %s %d
% 0.13/0.32  % Computer : n019.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Mon May 20 14:59:24 EDT 2024
% 0.13/0.32  % CPUTime  : 
% 1.00/0.95  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.28/1.10  % [INFO] 	 Parsing done (145ms). 
% 1.28/1.11  % [INFO] 	 Running in sequential loop mode. 
% 1.82/1.48  % [INFO] 	 nitpick registered as external prover. 
% 1.82/1.49  % [INFO] 	 Scanning for conjecture ... 
% 1.98/1.56  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.98/1.59  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.98/1.59  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.98/1.60  % [INFO] 	 Type checking passed. 
% 2.10/1.60  % [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 ... 
% 2.61/1.93  % [INFO] 	 Killing All external provers ... 
% 2.61/1.93  % Time passed: 1456ms (effective reasoning time: 812ms)
% 2.61/1.93  % Axioms used in derivation (0): 
% 2.61/1.93  % No. of inferences in proof: 10
% 2.61/1.93  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1456 ms resp. 812 ms w/o parsing
% 2.61/1.96  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.61/1.96  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------