%------------------------------------------------------------------------------
% File     : Leo-III---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 : n023.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 08:10:00 EDT 2024

% Result   : Unsatisfiable 2.12s 1.43s
% Output   : Refutation 2.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   11 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :    9 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   4   ~;   2   |;   0   &;  12   @)
%                                         (   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     :    5 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    6 (   0   ^   6   !;   0   ?;   6   :)

% 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(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(9,plain,
    $false,
    inference(cvc4,[status(thm)],[4,5,6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN049-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon May 20 14:59:24 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.82/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.07/0.93  % [INFO] 	 Parsing done (83ms). 
% 1.22/0.94  % [INFO] 	 Running in sequential loop mode. 
% 1.51/1.13  % [INFO] 	 eprover registered as external prover. 
% 1.51/1.14  % [INFO] 	 cvc4 registered as external prover. 
% 1.51/1.14  % [INFO] 	 Scanning for conjecture ... 
% 1.67/1.18  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.67/1.20  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.67/1.20  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.67/1.21  % [INFO] 	 Type checking passed. 
% 1.67/1.21  % [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 ... 
% 2.12/1.42  % External prover 'cvc4' found a proof!
% 2.12/1.42  % [INFO] 	 Killing All external provers ... 
% 2.12/1.43  % Time passed: 914ms (effective reasoning time: 485ms)
% 2.12/1.43  % Axioms used in derivation (0): 
% 2.12/1.43  % No. of inferences in proof: 7
% 2.12/1.43  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 914 ms resp. 485 ms w/o parsing
% 2.43/1.44  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.43/1.44  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------