%------------------------------------------------------------------------------
% File     : Leo-III-SAT---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 : n014.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 08:17:20 EDT 2024

% Result   : Unsatisfiable 3.09s 2.23s
% Output   : Refutation 3.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   14 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (   7   ~;   4   |;   0   &;  11   @)
%                                         (   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     :    5 (   3 usr;   4 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/sandbox/benchmark/theBenchmark.p',pel33_1) ).

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

thf(7,plain,
    ( ( big_p @ c )
    | ~ ( big_p @ a ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(2,negated_conjecture,
    big_p @ a,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',pel33_3) ).

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

thf(8,plain,
    ~ ( big_p @ c ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(11,plain,
    ( $false
    | ~ $true ),
    inference(rewrite,[status(thm)],[7,5,8]) ).

thf(12,plain,
    $false,
    inference(simp,[status(thm)],[11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN063-2 : TPTP v8.2.0. Released v1.2.0.
% 0.07/0.14  % Command  : run_Leo-III %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon May 20 15:19:54 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 1.18/1.09  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.46/1.26  % [INFO] 	 Parsing done (164ms). 
% 1.55/1.27  % [INFO] 	 Running in sequential loop mode. 
% 2.15/1.71  % [INFO] 	 nitpick registered as external prover. 
% 2.15/1.71  % [INFO] 	 Scanning for conjecture ... 
% 2.33/1.80  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.41/1.84  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.41/1.84  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.41/1.84  % [INFO] 	 Type checking passed. 
% 2.41/1.85  % [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 ... 
% 3.09/2.22  % [INFO] 	 Killing All external provers ... 
% 3.09/2.22  % Time passed: 1700ms (effective reasoning time: 940ms)
% 3.09/2.23  % Axioms used in derivation (0): 
% 3.09/2.23  % No. of inferences in proof: 10
% 3.09/2.23  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1700 ms resp. 940 ms w/o parsing
% 3.20/2.26  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.20/2.26  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------