TSTP Solution File: SYN382^5 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYN382^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n010.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 08:18:19 EDT 2024

% Result   : Theorem 2.45s 1.49s
% Output   : Refutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   32 (   2 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   86 (   9   ~;  10   |;   0   &;  63   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (   0   ^  25   !;  10   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cQ_type,type,
    cQ: $i > $i > $o ).

thf(cP_type,type,
    cP: $i > $i > $o ).

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

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

thf(sk3_type,type,
    sk3: $i ).

thf(1,conjecture,
    ( ! [A: $i] :
      ? [B: $i] :
        ( ! [C: $i] : ( cP @ B @ C )
        | ( cQ @ B @ A ) )
   => ! [A: $i] :
      ? [B: $i] :
        ( ( cP @ B @ A )
        | ( cQ @ B @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX2134) ).

thf(2,negated_conjecture,
    ~ ( ! [A: $i] :
        ? [B: $i] :
          ( ! [C: $i] : ( cP @ B @ C )
          | ( cQ @ B @ A ) )
     => ! [A: $i] :
        ? [B: $i] :
          ( ( cP @ B @ A )
          | ( cQ @ B @ A ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ! [A: $i] :
        ? [B: $i] :
          ( ! [C: $i] : ( cP @ B @ C )
          | ( cQ @ B @ A ) )
     => ! [A: $i] :
        ? [B: $i] :
          ( ( cP @ B @ A )
          | ( cQ @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ~ ( ( ? [A: $i] :
          ! [B: $i] : ( cP @ A @ B )
        | ! [A: $i] :
          ? [B: $i] : ( cQ @ B @ A ) )
     => ! [A: $i] :
          ( ? [B: $i] : ( cP @ B @ A )
          | ? [B: $i] : ( cQ @ B @ A ) ) ),
    inference(miniscope,[status(thm)],[3]) ).

thf(7,plain,
    ! [B: $i,A: $i] :
      ( ( cP @ sk1 @ A )
      | ( cQ @ ( sk2 @ B ) @ B ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(6,plain,
    ! [A: $i] :
      ~ ( cP @ A @ sk3 ),
    inference(cnf,[status(esa)],[4]) ).

thf(9,plain,
    ! [A: $i] :
      ~ ( cP @ A @ sk3 ),
    inference(simp,[status(thm)],[6]) ).

thf(11,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( cQ @ ( sk2 @ B ) @ B )
      | ( ( cP @ sk1 @ A )
       != ( cP @ C @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[7,9]) ).

thf(12,plain,
    ! [A: $i] : ( cQ @ ( sk2 @ A ) @ A ),
    inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( sk3 )),bind(B,$thf( B )),bind(C,$thf( sk1 ))]]) ).

thf(13,plain,
    ! [A: $i] : ( cQ @ ( sk2 @ A ) @ A ),
    inference(simp,[status(thm)],[12]) ).

thf(5,plain,
    ! [A: $i] :
      ~ ( cQ @ A @ sk3 ),
    inference(cnf,[status(esa)],[4]) ).

thf(8,plain,
    ! [A: $i] :
      ~ ( cQ @ A @ sk3 ),
    inference(simp,[status(thm)],[5]) ).

thf(14,plain,
    ! [B: $i,A: $i] :
      ( ( cQ @ ( sk2 @ A ) @ A )
     != ( cQ @ B @ sk3 ) ),
    inference(paramod_ordered,[status(thm)],[13,8]) ).

thf(15,plain,
    $false,
    inference(pattern_uni,[status(thm)],[14:[bind(A,$thf( sk3 )),bind(B,$thf( sk2 @ sk3 ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN382^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16  % Command  : run_Leo-III %s %d
% 0.17/0.37  % Computer : n010.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Mon May 20 14:33:09 EDT 2024
% 0.17/0.37  % CPUTime  : 
% 0.95/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.05/0.95  % [INFO] 	 Parsing done (90ms). 
% 1.23/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.56/1.15  % [INFO] 	 nitpick registered as external prover. 
% 1.56/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.56/1.20  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.56/1.22  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.56/1.22  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.56/1.22  % [INFO] 	 Type checking passed. 
% 1.56/1.23  % [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 ... 
% 2.45/1.48  % [INFO] 	 Killing All external provers ... 
% 2.45/1.49  % Time passed: 951ms (effective reasoning time: 521ms)
% 2.45/1.49  % 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)>
% 2.45/1.49  % Axioms used in derivation (0): 
% 2.45/1.49  % No. of inferences in proof: 14
% 2.45/1.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 951 ms resp. 521 ms w/o parsing
% 2.50/1.55  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.50/1.55  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------