TSTP Solution File: SYN326-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN326-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 12:46:31 EDT 2023

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   6   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ! [X] :
      ( g(y(X))
      | f(X,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f5,negated_conjecture,
    ! [X] :
      ( ~ g(X)
      | h(z(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [X] : ~ f(z(X),z(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [X0] :
      ( g(y(X0))
      | f(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ h(X0)
      | f(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ g(X0)
      | h(z(X0)) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    ! [X0] : ~ f(z(X0),z(X0)),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f15,plain,
    ! [X0] :
      ( f(X0,X0)
      | h(z(y(X0))) ),
    inference(resolution,[status(thm)],[f9,f12]) ).

fof(f16,plain,
    ! [X0] :
      ( f(X0,X0)
      | f(z(y(X0)),z(y(X0))) ),
    inference(resolution,[status(thm)],[f15,f10]) ).

fof(f17,plain,
    ! [X0] : f(X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f16,f14]) ).

fof(f18,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f14,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN326-1 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:23:55 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.36  % Elapsed time: 0.016519 seconds
% 0.12/0.36  % CPU time: 0.026891 seconds
% 0.12/0.36  % Memory used: 1.817 MB
%------------------------------------------------------------------------------