TSTP Solution File: HEN002-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : HEN002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:21:41 EDT 2024

% Result   : Unsatisfiable 0.10s 0.35s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

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

fof(f5,axiom,
    ! [X] : less_equal(zero,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ quotient(zero,x,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | quotient(X0,X1,zero) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f17,plain,
    ! [X0] : less_equal(zero,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f23,plain,
    ~ quotient(zero,x,zero),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f24,plain,
    ! [X0] : quotient(zero,X0,zero),
    inference(resolution,[status(thm)],[f11,f17]) ).

fof(f25,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f23,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : HEN002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n020.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Mon Apr 29 20:06:32 EDT 2024
% 0.10/0.34  % CPUTime  : 
% 0.10/0.34  % Drodi V3.6.0
% 0.10/0.35  % Refutation found
% 0.10/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.36  % Elapsed time: 0.015541 seconds
% 0.10/0.36  % CPU time: 0.013735 seconds
% 0.10/0.36  % Total memory used: 2.210 MB
% 0.10/0.36  % Net memory used: 2.107 MB
%------------------------------------------------------------------------------