TSTP Solution File: SYO305^5 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO305^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 08:59:51 EDT 2024

% Result   : Theorem 2.85s 1.99s
% Output   : Refutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   32 (   2 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   62 (   8   ~;   5   |;   0   &;  34   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cB_type,type,
    cB: $i > $o ).

thf(cA_type,type,
    cA: $i > $o ).

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

thf(sk2_type,type,
    sk2: $i ).

thf(1,conjecture,
    ( ! [A: $i] :
        ( ( cA @ A )
       => ( cB @ A ) )
   => ! [A: $i > $o] :
        ( ! [B: $i] :
            ( ( A @ B )
           => ( cA @ B ) )
       => ! [B: $i] :
            ( ( A @ B )
           => ( cB @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSET79_pme) ).

thf(2,negated_conjecture,
    ~ ( ! [A: $i] :
          ( ( cA @ A )
         => ( cB @ A ) )
     => ! [A: $i > $o] :
          ( ! [B: $i] :
              ( ( A @ B )
             => ( cA @ B ) )
         => ! [B: $i] :
              ( ( A @ B )
             => ( cB @ B ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ! [A: $i] :
          ( ( cA @ A )
         => ( cB @ A ) )
     => ! [A: $i > $o] :
          ( ! [B: $i] :
              ( ( A @ B )
             => ( cA @ B ) )
         => ! [B: $i] :
              ( ( A @ B )
             => ( cB @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    sk1 @ sk2,
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    ! [A: $i] :
      ( ~ ( sk1 @ A )
      | ( cA @ A ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(8,plain,
    ! [A: $i] :
      ( ~ ( sk1 @ A )
      | ( cA @ A ) ),
    inference(simp,[status(thm)],[6]) ).

thf(9,plain,
    ! [A: $i] :
      ( ( cA @ A )
      | ( ( sk1 @ sk2 )
       != ( sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[5,8]) ).

thf(10,plain,
    cA @ sk2,
    inference(pattern_uni,[status(thm)],[9:[bind(A,$thf( sk2 ))]]) ).

thf(7,plain,
    ! [A: $i] :
      ( ~ ( cA @ A )
      | ( cB @ A ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(11,plain,
    ! [A: $i] :
      ( ( cB @ A )
      | ( ( cA @ sk2 )
       != ( cA @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[10,7]) ).

thf(12,plain,
    cB @ sk2,
    inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( sk2 ))]]) ).

thf(4,plain,
    ~ ( cB @ sk2 ),
    inference(cnf,[status(esa)],[3]) ).

thf(13,plain,
    $false,
    inference(rewrite,[status(thm)],[12,4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYO305^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.32  % Computer : n024.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 : Mon May 20 09:32:09 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.94/0.94  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.20/1.10  % [INFO] 	 Parsing done (156ms). 
% 1.20/1.11  % [INFO] 	 Running in sequential loop mode. 
% 1.79/1.47  % [INFO] 	 nitpick registered as external prover. 
% 1.79/1.47  % [INFO] 	 Scanning for conjecture ... 
% 1.99/1.55  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.99/1.58  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.99/1.58  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.11/1.59  % [INFO] 	 Type checking passed. 
% 2.11/1.59  % [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 ... 
% 2.85/1.99  % [INFO] 	 Killing All external provers ... 
% 2.85/1.99  % Time passed: 1519ms (effective reasoning time: 873ms)
% 2.85/1.99  % 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)>
% 2.85/1.99  % Axioms used in derivation (0): 
% 2.85/1.99  % No. of inferences in proof: 14
% 2.85/1.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1519 ms resp. 873 ms w/o parsing
% 2.88/2.07  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.88/2.07  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------