TSTP Solution File: SYN068-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN068-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 20:51:13 EDT 2024

% Result   : Unsatisfiable 0.20s 0.36s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X] :
      ( ~ big_f(X)
      | big_g(g(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] :
      ( ~ big_f(X)
      | ~ big_h(X,g(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    big_j(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] :
      ( ~ big_g(X)
      | big_h(a,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [X] :
      ( ~ big_j(X)
      | big_f(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | big_g(g(X0)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | ~ big_h(X0,g(X0)) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    big_j(a),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ big_g(X0)
      | big_h(a,X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ big_j(X0)
      | big_f(X0) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f15,plain,
    big_f(a),
    inference(resolution,[status(thm)],[f12,f14]) ).

fof(f18,plain,
    big_g(g(a)),
    inference(resolution,[status(thm)],[f10,f15]) ).

fof(f19,plain,
    big_h(a,g(a)),
    inference(resolution,[status(thm)],[f13,f18]) ).

fof(f21,plain,
    ~ big_f(a),
    inference(resolution,[status(thm)],[f11,f19]) ).

fof(f22,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SYN068-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n006.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
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 21:54:05 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.20/0.36  % Refutation found
% 0.20/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37  % Elapsed time: 0.016257 seconds
% 0.20/0.37  % CPU time: 0.016697 seconds
% 0.20/0.37  % Total memory used: 3.648 MB
% 0.20/0.37  % Net memory used: 3.564 MB
%------------------------------------------------------------------------------