TSTP Solution File: SYO180_8 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYO180_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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 : Fri May 19 12:35:21 EDT 2023

% Result   : Theorem 2.60s 1.53s
% Output   : Refutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :    1 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :  242 (  71   ~;   0   |; 120   &;   0   @)
%                                         (   0 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (  24 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    1 (   0 usr;   1 con; 0-0 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(1,conjecture,
    ! [A: $o,B: $o,C: $o,D: $o,E: $o,F: $o,G: $o,H: $o,I: $o,J: $o,K: $o] :
      ( ( ( ( A
            & B )
         => C )
        & ( ( D
            & ~ E )
         => C )
        & ( ( ~ I
            & G
            & C )
         => H )
        & ( ( ~ D
            & ~ B )
         => E )
        & ( ( I
            & J )
         => K )
        & ( ( E
            & ~ G
            & ~ H )
         => B )
        & ( ( A
            & C )
         => K )
        & ( ( F
            & ~ I
            & D
            & ~ G )
         => ~ C )
        & ( ( ~ D
            & ~ E )
         => I )
        & ( ( I
            & A
            & F )
         => ~ C )
        & ( ( E
            & F )
         => ~ K )
        & ( ( D
            & ~ I
            & ~ C )
         => ~ J )
        & ( ( G
            & ~ B
            & ~ H )
         => K )
        & ( ( D
            & J
            & ~ E )
         => ~ K )
        & ( ( E
            & ~ I
            & ~ C )
         => D ) )
     => ( ( F
          & A )
       => ( H
          & ~ J ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPORKCHOP2) ).

thf(2,negated_conjecture,
    ~ ! [A: $o,B: $o,C: $o,D: $o,E: $o,F: $o,G: $o,H: $o,I: $o,J: $o,K: $o] :
        ( ( ( ( A
              & B )
           => C )
          & ( ( D
              & ~ E )
           => C )
          & ( ( ~ I
              & G
              & C )
           => H )
          & ( ( ~ D
              & ~ B )
           => E )
          & ( ( I
              & J )
           => K )
          & ( ( E
              & ~ G
              & ~ H )
           => B )
          & ( ( A
              & C )
           => K )
          & ( ( F
              & ~ I
              & D
              & ~ G )
           => ~ C )
          & ( ( ~ D
              & ~ E )
           => I )
          & ( ( I
              & A
              & F )
           => ~ C )
          & ( ( E
              & F )
           => ~ K )
          & ( ( D
              & ~ I
              & ~ C )
           => ~ J )
          & ( ( G
              & ~ B
              & ~ H )
           => K )
          & ( ( D
              & J
              & ~ E )
           => ~ K )
          & ( ( E
              & ~ I
              & ~ C )
           => D ) )
       => ( ( F
            & A )
         => ( H
            & ~ J ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: $o,B: $o,C: $o,D: $o,E: $o,F: $o,G: $o,H: $o,I: $o,J: $o,K: $o] :
        ( ( ( ( A
              & B )
           => C )
          & ( ( D
              & ~ E )
           => C )
          & ( ( ~ I
              & G
              & C )
           => H )
          & ( ( ~ D
              & ~ B )
           => E )
          & ( ( I
              & J )
           => K )
          & ( ( E
              & ~ G
              & ~ H )
           => B )
          & ( ( A
              & C )
           => K )
          & ( ( F
              & ~ I
              & D
              & ~ G )
           => ~ C )
          & ( ( ~ D
              & ~ E )
           => I )
          & ( ( I
              & A
              & F )
           => ~ C )
          & ( ( E
              & F )
           => ~ K )
          & ( ( D
              & ~ I
              & ~ C )
           => ~ J )
          & ( ( G
              & ~ B
              & ~ H )
           => K )
          & ( ( D
              & J
              & ~ E )
           => ~ K )
          & ( ( E
              & ~ I
              & ~ C )
           => D ) )
       => ( ( F
            & A )
         => ( H
            & ~ J ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(23,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SYO180_8 : TPTP v8.1.2. Released v8.0.0.
% 0.08/0.11  % Command  : run_Leo-III %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Thu May 18 18:11:50 EDT 2023
% 0.11/0.30  % CPUTime  : 
% 0.71/0.74  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.02/0.86  % [INFO] 	 Parsing done (110ms). 
% 1.02/0.86  % [INFO] 	 Running in sequential loop mode. 
% 1.28/1.05  % [INFO] 	 eprover registered as external prover. 
% 1.28/1.05  % [INFO] 	 cvc4 registered as external prover. 
% 1.42/1.06  % [INFO] 	 Scanning for conjecture ... 
% 1.63/1.13  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.69/1.16  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.69/1.16  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 1.69/1.16  % [INFO] 	 Type checking passed. 
% 1.69/1.16  % [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 ... 
% 2.60/1.53  % External prover 'e' found a proof!
% 2.60/1.53  % [INFO] 	 Killing All external provers ... 
% 2.60/1.53  % Time passed: 1106ms (effective reasoning time: 663ms)
% 2.60/1.53  % 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)>
% 2.60/1.53  % Axioms used in derivation (0): 
% 2.60/1.53  % No. of inferences in proof: 4
% 2.60/1.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1106 ms resp. 663 ms w/o parsing
% 2.60/1.55  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.60/1.55  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------