%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYN063-2 : TPTP v8.2.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n007.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 08:10:07 EDT 2024

% Result   : Unsatisfiable 2.26s 1.53s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   10 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :    9 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   4   ~;   2   |;   0   &;   8   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

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

thf(c_type,type,
    c: $i ).

thf(a_type,type,
    a: $i ).

thf(1,negated_conjecture,
    ( ( big_p @ c )
    | ~ ( big_p @ a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel33_1) ).

thf(4,plain,
    ( ( big_p @ c )
    | ~ ( big_p @ a ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,negated_conjecture,
    big_p @ a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel33_2) ).

thf(5,plain,
    big_p @ a,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,negated_conjecture,
    ~ ( big_p @ c ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel33_3) ).

thf(6,plain,
    ~ ( big_p @ c ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(11,plain,
    $false,
    inference(e,[status(thm)],[4,5,6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN063-2 : TPTP v8.2.0. Released v1.2.0.
% 0.12/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n007.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon May 20 15:19:54 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 1.07/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.30/1.04  % [INFO] 	 Parsing done (103ms). 
% 1.30/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.71/1.24  % [INFO] 	 eprover registered as external prover. 
% 1.71/1.24  % [INFO] 	 cvc4 registered as external prover. 
% 1.71/1.24  % [INFO] 	 Scanning for conjecture ... 
% 1.71/1.29  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.71/1.30  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.71/1.30  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.71/1.30  % [INFO] 	 Type checking passed. 
% 1.71/1.31  % [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 ... 
% 2.26/1.53  % External prover 'e' found a proof!
% 2.26/1.53  % [INFO] 	 Killing All external provers ... 
% 2.26/1.53  % Time passed: 994ms (effective reasoning time: 484ms)
% 2.26/1.53  % Axioms used in derivation (0): 
% 2.26/1.53  % No. of inferences in proof: 7
% 2.26/1.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 994 ms resp. 484 ms w/o parsing
% 2.26/1.55  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.26/1.55  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------