TSTP Solution File: SYN079-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN079-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 12:45:55 EDT 2023

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (;  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    big_f(f(a,b),f(b,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    big_f(f(b,c),f(a,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y,Z] :
      ( ~ big_f(X,Y)
      | ~ big_f(Y,Z)
      | big_f(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ big_f(f(a,b),f(a,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,plain,
    big_f(f(a,b),f(b,c)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    big_f(f(b,c),f(a,c)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ big_f(X,Y)
          | ~ big_f(Y,Z) )
      | big_f(X,Z) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( ~ big_f(X0,X1)
      | ~ big_f(X1,X2)
      | big_f(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f9,plain,
    ~ big_f(f(a,b),f(a,c)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ big_f(X0,f(b,c))
      | big_f(X0,f(a,c)) ),
    inference(resolution,[status(thm)],[f6,f8]) ).

fof(f12,plain,
    big_f(f(a,b),f(a,c)),
    inference(resolution,[status(thm)],[f11,f5]) ).

fof(f13,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f12,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN079-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n007.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
% 0.12/0.33  % DateTime : Tue May 30 10:15:47 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Drodi V3.5.1
% 0.12/0.34  % Refutation found
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.56  % Elapsed time: 0.013872 seconds
% 0.24/0.56  % CPU time: 0.025682 seconds
% 0.24/0.56  % Memory used: 6.990 MB
%------------------------------------------------------------------------------