%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : ITP001+4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n029.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 : Mon May 20 22:21:14 EDT 2024

% Result   : Theorem 7.80s 2.84s
% Output   : Refutation 7.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :    8 (   1 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (   2   ~;   0   |;   0   &;  19   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    1 (   0   ^   1   !;   0   ?;   1   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p_type,type,
    p: $i > $o ).

thf(s_type,type,
    s: $i > $i > $i ).

thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: $i ).

thf(c_2Ebool_2ET_2E0_type,type,
    c_2Ebool_2ET_2E0: $i ).

thf(48,axiom,
    ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
  <=> ! [A: $i] :
        ( ( s @ tyop_2Emin_2Ebool @ A )
        = ( s @ tyop_2Emin_2Ebool @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).

thf(325,plain,
    p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(1,conjecture,
    p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).

thf(2,negated_conjecture,
    ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(67,plain,
    ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(415,plain,
    $false,
    inference(rewrite,[status(thm)],[325,67]) ).

thf(416,plain,
    $false,
    inference(simp,[status(thm)],[415]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP001+4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n029.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
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat May 18 16:57:54 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 1.02/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.64/1.10  % [INFO] 	 Parsing done (210ms). 
% 1.64/1.11  % [INFO] 	 Running in sequential loop mode. 
% 1.94/1.32  % [INFO] 	 eprover registered as external prover. 
% 1.94/1.32  % [INFO] 	 cvc4 registered as external prover. 
% 1.94/1.33  % [INFO] 	 Scanning for conjecture ... 
% 2.37/1.41  % [INFO] 	 Found a conjecture (or negated_conjecture) and 86 axioms. Running axiom selection ... 
% 2.37/1.46  % [INFO] 	 Axiom selection finished. Selected 64 axioms (removed 22 axioms). 
% 3.01/1.58  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.01/1.60  % [INFO] 	 Type checking passed. 
% 3.07/1.60  % [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 ... 
% 7.80/2.83  % [INFO] 	 Killing All external provers ... 
% 7.80/2.84  % Time passed: 2311ms (effective reasoning time: 1720ms)
% 7.80/2.84  % 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)>
% 7.80/2.84  % Axioms used in derivation (1): thm_2Ebool_2ET__DEF
% 7.80/2.84  % No. of inferences in proof: 7
% 7.80/2.84  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2311 ms resp. 1720 ms w/o parsing
% 7.80/2.85  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.80/2.85  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------