%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SEV056^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n020.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 Jun 24 15:59:25 EDT 2024

% Result   : Theorem 4.21s 1.88s
% Output   : Refutation 4.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   58 (   6   ~;   2   |;   6   &;  38   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   6 con; 0-0 aty)
%            Number of variables   :   22 (   0   ^  19   !;   3   ?;  22   :)

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

thf(1,conjecture,
    ! [A: a > a > $o] :
    ? [B: a > a > $o] :
      ( ! [C: a,D: a] :
          ( ( A @ C @ D )
         => ( B @ C @ D ) )
      & ! [C: a,D: a,E: a] :
          ( ( ( B @ C @ D )
            & ( B @ D @ E ) )
         => ( B @ C @ E ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM275_pme) ).

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

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

thf(5,plain,
    ! [A: a > a > $o] :
      ( ~ ( A @ ( sk2 @ A ) @ ( sk3 @ A ) )
      | ~ ( A @ ( sk4 @ A ) @ ( sk6 @ A ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(48,plain,
    ( ~ $true
    | ~ $true ),
    inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [B: a] : ^ [C: a] : $true ))]]) ).

thf(70,plain,
    $false,
    inference(simp,[status(thm)],[48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEV056^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12  % Command  : run_Leo-III %s %d SAT
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jun 21 19:15:25 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.97/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.16/0.97  % [INFO] 	 Parsing done (99ms). 
% 1.16/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.50/1.18  % [INFO] 	 nitpick registered as external prover. 
% 1.67/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.79/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.82/1.25  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.82/1.25  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.82/1.25  % [INFO] 	 Type checking passed. 
% 1.82/1.25  % [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 ... 
% 4.21/1.87  % [INFO] 	 Killing All external provers ... 
% 4.21/1.88  % Time passed: 1338ms (effective reasoning time: 892ms)
% 4.21/1.88  % 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)>
% 4.21/1.88  % Axioms used in derivation (0): 
% 4.21/1.88  % No. of inferences in proof: 6
% 4.21/1.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1338 ms resp. 892 ms w/o parsing
% 4.21/1.90  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.21/1.90  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------