TSTP Solution File: NUM025-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM025-2 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:30:13 EDT 2024

% 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 :   14 (   7   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [A,B,C] :
      ( greater_or_equalish(A,B)
      | greater_or_equalish(C,A)
      | ~ greater_or_equalish(C,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [A] : greater_or_equalish(A,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    ~ greater_or_equalish(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ~ greater_or_equalish(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,plain,
    ! [B,C] :
      ( ! [A] :
          ( greater_or_equalish(A,B)
          | greater_or_equalish(C,A) )
      | ~ greater_or_equalish(C,B) ),
    inference(miniscoping,[status(esa)],[f10]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( greater_or_equalish(X0,X1)
      | greater_or_equalish(X2,X0)
      | ~ greater_or_equalish(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f33,plain,
    ! [X0] : greater_or_equalish(X0,X0),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f34,plain,
    ~ greater_or_equalish(a,b),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f35,plain,
    ~ greater_or_equalish(b,a),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( greater_or_equalish(X0,X1)
      | greater_or_equalish(X1,X0) ),
    inference(resolution,[status(thm)],[f28,f33]) ).

fof(f37,plain,
    greater_or_equalish(b,a),
    inference(resolution,[status(thm)],[f36,f34]) ).

fof(f38,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f37,f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM025-2 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n016.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 : Mon Apr 29 21:27:40 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 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
% 0.18/0.35  % Elapsed time: 0.016069 seconds
% 0.18/0.35  % CPU time: 0.032149 seconds
% 0.18/0.35  % Total memory used: 1.968 MB
% 0.18/0.35  % Net memory used: 1.861 MB
%------------------------------------------------------------------------------