%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SEU858^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n005.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 03:44:06 EDT 2024

% Result   : Theorem 2.21s 1.41s
% Output   : Refutation 2.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   2 unt;   2 typ;   0 def)
%            Number of atoms       :   18 (   4 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   42 (   4   ~;   4   |;   4   &;  22   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   1 con; 0-2 aty)
%            Number of variables   :   26 (  14   ^  12   !;   0   ?;  26   :)

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

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

thf(1,conjecture,
    ! [A: ( a > $o ) > $o] :
      ( ( ( A
          @ ^ [B: a] : $false )
        & ! [B: a > $o,C: a] :
            ( ( A @ B )
           => ( A
              @ ^ [D: a] :
                  ( ( B @ D )
                  | ( D = C ) ) ) ) )
     => ( A
        @ ^ [B: a] : $false ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM163_pme) ).

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

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

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

thf(7,plain,
    ( sk1
    @ ^ [A: a] : $false ),
    inference(cnf,[status(esa)],[4]) ).

thf(5,plain,
    ~ ( sk1
      @ ^ [A: a] : $false ),
    inference(cnf,[status(esa)],[4]) ).

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

thf(9,plain,
    $false,
    inference(simp,[status(thm)],[8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU858^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n005.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sun May 19 17:17:39 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.95/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.21/0.95  % [INFO] 	 Parsing done (93ms). 
% 1.21/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.43/1.15  % [INFO] 	 nitpick registered as external prover. 
% 1.43/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.74/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.74/1.22  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.74/1.22  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.74/1.23  % [INFO] 	 Type checking passed. 
% 1.74/1.23  % [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 ... 
% 2.21/1.40  % [INFO] 	 Killing All external provers ... 
% 2.21/1.41  % Time passed: 877ms (effective reasoning time: 441ms)
% 2.21/1.41  % 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)>
% 2.21/1.41  % Axioms used in derivation (0): 
% 2.21/1.41  % No. of inferences in proof: 8
% 2.21/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 877 ms resp. 441 ms w/o parsing
% 2.21/1.43  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.21/1.43  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------