TSTP Solution File: SYN721-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN721-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:52:54 EDT 2024

% Result   : Unsatisfiable 0.10s 0.33s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    r(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [A,B] :
      ( q(A,A)
      | ~ r(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [C,B,A] :
      ( r(C,B)
      | ~ q(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [A] :
      ( ~ q(A,a)
      | ~ r(b,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,plain,
    r(a,b),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [A] :
      ( q(A,A)
      | ! [B] : ~ r(A,B) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( q(X0,X0)
      | ~ r(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f8,plain,
    ! [B] :
      ( ! [C] : r(C,B)
      | ! [A] : ~ q(A,B) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( r(X0,X1)
      | ~ q(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ q(X0,a)
      | ~ r(b,X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    q(a,a),
    inference(resolution,[status(thm)],[f7,f5]) ).

fof(f12,plain,
    ! [X0] : r(X0,a),
    inference(resolution,[status(thm)],[f9,f11]) ).

fof(f14,plain,
    ~ r(b,a),
    inference(resolution,[status(thm)],[f10,f11]) ).

fof(f15,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f14,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : SYN721-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 21:51:28 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.10/0.32  % Drodi V3.6.0
% 0.10/0.33  % Refutation found
% 0.10/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.34  % Elapsed time: 0.013263 seconds
% 0.10/0.34  % CPU time: 0.012118 seconds
% 0.10/0.34  % Total memory used: 2.732 MB
% 0.10/0.34  % Net memory used: 2.662 MB
%------------------------------------------------------------------------------