%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SET630^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n010.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 03:06:36 EDT 2024

% Result   : Theorem 2.14s 1.40s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   3 unt;   4 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   0 avg)
%            Number of connectives :   69 (  19   ~;   6   |;  16   &;  28   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-1 aty)
%            Number of variables   :   12 (   0   ^   6   !;   6   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk1_type,type,
    sk1: a > $o ).

thf(sk2_type,type,
    sk2: a > $o ).

thf(sk3_type,type,
    sk3: a ).

thf(1,conjecture,
    ! [A: a > $o,B: a > $o] :
      ~ ? [C: a] :
          ( ( A @ C )
          & ( B @ C )
          & ( ( ( A @ C )
              & ~ ( B @ C ) )
            | ( ( B @ C )
              & ~ ( A @ C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_112_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: a > $o,B: a > $o] :
        ~ ? [C: a] :
            ( ( A @ C )
            & ( B @ C )
            & ( ( ( A @ C )
                & ~ ( B @ C ) )
              | ( ( B @ C )
                & ~ ( A @ C ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: a > $o,B: a > $o] :
        ~ ? [C: a] :
            ( ( A @ C )
            & ( B @ C )
            & ( ( ( A @ C )
                & ~ ( B @ C ) )
              | ( ( B @ C )
                & ~ ( A @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ~ ~ ? [A: a > $o,B: a > $o,C: a] :
          ( ( A @ C )
          & ( B @ C )
          & ( ( ( A @ C )
              & ~ ( B @ C ) )
            | ( ( B @ C )
              & ~ ( A @ C ) ) ) ),
    inference(miniscope,[status(thm)],[3]) ).

thf(7,plain,
    ( ~ ( sk2 @ sk3 )
    | ~ ( sk1 @ sk3 ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(6,plain,
    sk1 @ sk3,
    inference(cnf,[status(esa)],[4]) ).

thf(10,plain,
    sk2 @ sk3,
    inference(cnf,[status(esa)],[4]) ).

thf(13,plain,
    ( ~ $true
    | ~ $true ),
    inference(rewrite,[status(thm)],[7,6,10]) ).

thf(14,plain,
    $false,
    inference(simp,[status(thm)],[13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET630^5 : TPTP v8.2.0. Released v4.0.0.
% 0.16/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.34  % Computer : n010.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Mon May 20 12:31:09 EDT 2024
% 0.16/0.34  % CPUTime  : 
% 0.93/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.19/0.94  % [INFO] 	 Parsing done (94ms). 
% 1.19/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.58/1.15  % [INFO] 	 nitpick registered as external prover. 
% 1.58/1.15  % [INFO] 	 Scanning for conjecture ... 
% 1.69/1.19  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.69/1.21  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.69/1.21  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.69/1.22  % [INFO] 	 Type checking passed. 
% 1.69/1.22  % [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 ... 
% 2.14/1.40  % [INFO] 	 Killing All external provers ... 
% 2.14/1.40  % Time passed: 887ms (effective reasoning time: 445ms)
% 2.14/1.40  % 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)>
% 2.14/1.40  % Axioms used in derivation (0): 
% 2.14/1.40  % No. of inferences in proof: 9
% 2.14/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 887 ms resp. 445 ms w/o parsing
% 2.14/1.42  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.14/1.42  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------