TSTP Solution File: SYN323+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 : Wed May 31 12:46:30 EDT 2023

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   40 (  16   ~;   8   |;   6   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   27 (;  25   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ? [Y] :
      ( ! [X] :
          ( ( big_f(X,Y)
           => big_f(Y,X) )
         => big_g(X,Y) )
     => ~ ! [X] :
            ( ( big_f(X,Y)
             => big_f(Y,X) )
           => ~ big_g(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ? [Y] :
        ( ! [X] :
            ( ( big_f(X,Y)
             => big_f(Y,X) )
           => big_g(X,Y) )
       => ~ ! [X] :
              ( ( big_f(X,Y)
               => big_f(Y,X) )
             => ~ big_g(X,Y) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ! [Y] :
      ( ! [X] :
          ( ( big_f(X,Y)
            & ~ big_f(Y,X) )
          | big_g(X,Y) )
      & ! [X] :
          ( ( big_f(X,Y)
            & ~ big_f(Y,X) )
          | ~ big_g(X,Y) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [Y,X] :
        ( ( big_f(X,Y)
          & ~ big_f(Y,X) )
        | big_g(X,Y) )
    & ! [Y,X] :
        ( ( big_f(X,Y)
          & ~ big_f(Y,X) )
        | ~ big_g(X,Y) ) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( big_f(X0,X1)
      | big_g(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | big_g(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( big_f(X0,X1)
      | ~ big_g(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | ~ big_g(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ! [X0,X1] : big_f(X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[f7,f5]) ).

fof(f10,plain,
    ! [X0,X1] : ~ big_g(X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[f8,f9]) ).

fof(f11,plain,
    ! [X0,X1] : big_g(X0,X1),
    inference(backward_subsumption_resolution,[status(thm)],[f6,f9]) ).

fof(f12,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f11,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue May 30 10:25:07 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.5.1
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.017492 seconds
% 0.14/0.37  % CPU time: 0.026130 seconds
% 0.14/0.37  % Memory used: 1.789 MB
%------------------------------------------------------------------------------