TSTP Solution File: SYN959+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN959+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 Apr 30 20:53:43 EDT 2024

% Result   : Theorem 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   18 (   8   ~;   2   |;   6   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   12 (   6   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ? [X] : b(X)
   => ? [X] :
        ( a(X)
        | b(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ? [X] : b(X)
     => ? [X] :
          ( a(X)
          | b(X) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ? [X] : b(X)
    & ! [X] :
        ( ~ a(X)
        & ~ b(X) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ? [X] : b(X)
    & ! [X] : ~ a(X)
    & ! [X] : ~ b(X) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ( b(sk0_0)
    & ! [X] : ~ a(X)
    & ! [X] : ~ b(X) ),
    inference(skolemization,[status(esa)],[f4]) ).

fof(f6,plain,
    b(sk0_0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    ! [X0] : ~ b(X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f9,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f6,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN959+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 22:04:27 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.12/0.35  % Refutation found
% 0.12/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.36  % Elapsed time: 0.015014 seconds
% 0.12/0.36  % CPU time: 0.025214 seconds
% 0.12/0.36  % Total memory used: 1.874 MB
% 0.12/0.36  % Net memory used: 1.680 MB
%------------------------------------------------------------------------------