TSTP Solution File: SYN081-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN081-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 12:45:56 EDT 2023

% Result   : Unsatisfiable 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( ~ big_f(X)
      | ~ big_f(f(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] :
      ( big_f(f(X))
      | big_f(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f4,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | ~ big_f(f(X0)) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0] :
      ( big_f(f(X0))
      | big_f(X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | big_f(f(X0)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0] : big_f(f(X0)),
    inference(forward_subsumption_resolution,[status(thm)],[f6,f5]) ).

fof(f8,plain,
    ! [X0] : ~ big_f(X0),
    inference(backward_subsumption_resolution,[status(thm)],[f4,f7]) ).

fof(f9,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f7,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN081-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 10:23:33 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Drodi V3.5.1
% 0.20/0.37  % Refutation found
% 0.20/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.59  % Elapsed time: 0.016706 seconds
% 0.22/0.59  % CPU time: 0.014234 seconds
% 0.22/0.59  % Memory used: 461.394 KB
%------------------------------------------------------------------------------