TSTP Solution File: SYO170^5 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO170^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n025.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 08:55:58 EDT 2024

% Result   : Theorem 4.06s 2.68s
% Output   : Refutation 4.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   1 unt;   5 typ;   0 def)
%            Number of atoms       :   31 (   3 equ;   0 cnn)
%            Maximal formula atoms :    8 (   7 avg)
%            Number of connectives :  104 (   2   ~;   0   |;  12   &;  81   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  13 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   5 con; 0-3 aty)
%            Number of variables   :   27 (   0   ^  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ab_type,type,
    ab: $i ).

thf(a_type,type,
    a: $i ).

thf(b_type,type,
    b: $i ).

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

thf(e_type,type,
    e: $i ).

thf(1,conjecture,
    ( ( ! [A: $i] : ( cP @ e @ A @ A )
      & ! [A: $i] : ( cP @ A @ e @ A )
      & ! [A: $i] : ( cP @ A @ A @ e )
      & ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( cP @ A @ B @ D )
            & ( cP @ B @ C @ E ) )
         => ( ( cP @ D @ C @ F )
            = ( cP @ A @ E @ F ) ) ) )
   => ( ( cP @ a @ b @ ab )
     => ( cP @ b @ a @ ab ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM105) ).

thf(2,negated_conjecture,
    ~ ( ( ! [A: $i] : ( cP @ e @ A @ A )
        & ! [A: $i] : ( cP @ A @ e @ A )
        & ! [A: $i] : ( cP @ A @ A @ e )
        & ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
            ( ( ( cP @ A @ B @ D )
              & ( cP @ B @ C @ E ) )
           => ( ( cP @ D @ C @ F )
              = ( cP @ A @ E @ F ) ) ) )
     => ( ( cP @ a @ b @ ab )
       => ( cP @ b @ a @ ab ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ! [A: $i] : ( cP @ e @ A @ A )
        & ! [A: $i] : ( cP @ A @ e @ A )
        & ! [A: $i] : ( cP @ A @ A @ e )
        & ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
            ( ( ( cP @ A @ B @ D )
              & ( cP @ B @ C @ E ) )
           => ( ( cP @ D @ C @ F )
              = ( cP @ A @ E @ F ) ) ) )
     => ( ( cP @ a @ b @ ab )
       => ( cP @ b @ a @ ab ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(18,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO170^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon May 20 09:52:39 EDT 2024
% 0.14/0.37  % CPUTime  : 
% 1.29/1.18  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.67/1.38  % [INFO] 	 Parsing done (189ms). 
% 1.67/1.39  % [INFO] 	 Running in sequential loop mode. 
% 2.35/1.87  % [INFO] 	 eprover registered as external prover. 
% 2.35/1.87  % [INFO] 	 cvc4 registered as external prover. 
% 2.35/1.88  % [INFO] 	 Scanning for conjecture ... 
% 2.65/2.00  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.81/2.05  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.81/2.05  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.81/2.06  % [INFO] 	 Type checking passed. 
% 2.81/2.06  % [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 ... 
% 4.06/2.68  % External prover 'e' found a proof!
% 4.06/2.68  % [INFO] 	 Killing All external provers ... 
% 4.06/2.68  % Time passed: 2130ms (effective reasoning time: 1285ms)
% 4.06/2.68  % 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)>
% 4.06/2.68  % Axioms used in derivation (0): 
% 4.06/2.68  % No. of inferences in proof: 4
% 4.06/2.68  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2130 ms resp. 1285 ms w/o parsing
% 4.06/2.73  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.06/2.73  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------