%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SEV256^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% 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 Jun 24 15:59:52 EDT 2024

% Result   : Theorem 4.79s 1.95s
% Output   : Refutation 4.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   46 (   3   ~;   2   |;   5   &;  27   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   2 con; 0-1 aty)
%            Number of variables   :   22 (  10   ^   7   !;   5   ?;  22   :)

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

thf(cOPEN_type,type,
    cOPEN: ( a > $o ) > $o ).

thf(1,conjecture,
    ( ! [A: ( a > $o ) > $o] :
        ( ! [B: a > $o] :
            ( ( A @ B )
           => ( cOPEN @ B ) )
       => ( cOPEN
          @ ^ [B: a] :
            ? [C: a > $o] :
              ( ( A @ C )
              & ( C @ B ) ) ) )
   => ( cOPEN
      @ ^ [A: a] : $false ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM625A_pme) ).

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

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

thf(5,plain,
    ! [A: ( a > $o ) > $o] :
      ( ( A @ ( sk1 @ A ) )
      | ( cOPEN
        @ ^ [B: a] :
          ? [C: a > $o] :
            ( ( A @ C )
            & ( C @ B ) ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(78,plain,
    ( $false
    | ( cOPEN
      @ ^ [A: a] :
        ? [B: a > $o] :
          ( $false
          & ( B @ A ) ) ) ),
    inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [B: a > $o] : $false ))]]) ).

thf(104,plain,
    ( cOPEN
    @ ^ [A: a] : $false ),
    inference(simp,[status(thm)],[78]) ).

thf(4,plain,
    ~ ( cOPEN
      @ ^ [A: a] : $false ),
    inference(cnf,[status(esa)],[3]) ).

thf(111,plain,
    $false,
    inference(rewrite,[status(thm)],[104,4]) ).

thf(112,plain,
    $false,
    inference(simp,[status(thm)],[111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SEV256^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.11  % Command  : run_Leo-III %s %d SAT
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri Jun 21 18:46:55 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.82/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.18/0.95  % [INFO] 	 Parsing done (108ms). 
% 1.18/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.46/1.16  % [INFO] 	 nitpick registered as external prover. 
% 1.46/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.69/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.79/1.23  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.79/1.23  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.79/1.23  % [INFO] 	 Type checking passed. 
% 1.79/1.24  % [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 ... 
% 4.79/1.95  % [INFO] 	 Killing All external provers ... 
% 4.79/1.95  % Time passed: 1437ms (effective reasoning time: 983ms)
% 4.79/1.95  % 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)>
% 4.79/1.95  % Axioms used in derivation (0): 
% 4.79/1.95  % No. of inferences in proof: 9
% 4.79/1.95  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1437 ms resp. 983 ms w/o parsing
% 4.79/1.97  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.79/1.97  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------