TSTP Solution File: SYN386^5 by Leo-III---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYN386^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n028.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 08:11:51 EDT 2024

% Result   : Theorem 2.61s 1.61s
% Output   : Refutation 2.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   1 unt;   3 typ;   0 def)
%            Number of atoms       :   31 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives :  101 (   2   ~;   0   |;   9   &;  72   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   1 con; 0-3 aty)
%            Number of variables   :   51 (   0   ^  33   !;  18   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cD_type,type,
    cD: $i > $i > $i > $o ).

thf(cF_type,type,
    cF: $i > $i > $o ).

thf(cS_type,type,
    cS: $i > $i > $o ).

thf(1,conjecture,
    ( ( ! [A: $i] :
        ? [B: $i] : ( cF @ A @ B )
      & ? [A: $i] :
        ! [B: $i] :
        ? [C: $i] :
        ! [D: $i] :
          ( ( cS @ C @ D )
         => ( cD @ D @ A @ B ) )
      & ! [A: $i] :
        ? [B: $i] :
        ! [C: $i,D: $i] :
          ( ( cD @ C @ D @ B )
         => ! [E: $i,F: $i] :
              ( ( ( cF @ C @ E )
                & ( cF @ D @ F ) )
             => ( cD @ E @ F @ A ) ) ) )
   => ? [A: $i] :
      ! [B: $i] :
      ? [C: $i] :
      ! [D: $i] :
        ( ( cS @ C @ D )
       => ! [E: $i] :
            ( ( cF @ D @ E )
           => ( cD @ E @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2138) ).

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

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

thf(15,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN386^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.16  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n028.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Mon May 20 13:40:24 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.93/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.27/0.96  % [INFO] 	 Parsing done (98ms). 
% 1.27/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.61/1.17  % [INFO] 	 eprover registered as external prover. 
% 1.61/1.17  % [INFO] 	 cvc4 registered as external prover. 
% 1.61/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.71/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.88/1.26  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.88/1.26  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.88/1.26  % [INFO] 	 Type checking passed. 
% 1.88/1.26  % [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 ... 
% 2.61/1.60  % External prover 'e' found a proof!
% 2.61/1.61  % [INFO] 	 Killing All external provers ... 
% 2.61/1.61  % Time passed: 1076ms (effective reasoning time: 632ms)
% 2.61/1.61  % 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)>
% 2.61/1.61  % Axioms used in derivation (0): 
% 2.61/1.61  % No. of inferences in proof: 4
% 2.61/1.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1076 ms resp. 632 ms w/o parsing
% 2.92/1.64  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.92/1.64  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------