TSTP Solution File: SYN279-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN279-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : Wed May 31 12:46:24 EDT 2023

% Result   : Unsatisfiable 0.16s 0.39s
% Output   : CNFRefutation 0.16s
% 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 :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [X] : p0(b,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f130,axiom,
    ! [J,A,B,C] :
      ( q1(J,A,J)
      | ~ n0(B,A)
      | ~ p0(C,J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ! [X] : ~ q1(X,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f383,plain,
    ! [X0] : p0(b,X0),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f406,plain,
    n0(b,a),
    inference(cnf_transformation,[status(esa)],[f37]) ).

fof(f554,plain,
    ! [J] :
      ( ! [A] :
          ( q1(J,A,J)
          | ! [B] : ~ n0(B,A) )
      | ! [C] : ~ p0(C,J) ),
    inference(miniscoping,[status(esa)],[f130]) ).

fof(f555,plain,
    ! [X0,X1,X2,X3] :
      ( q1(X0,X1,X0)
      | ~ n0(X2,X1)
      | ~ p0(X3,X0) ),
    inference(cnf_transformation,[status(esa)],[f554]) ).

fof(f924,plain,
    ! [X0] : ~ q1(X0,a,c),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f2688,plain,
    ! [X0,X1,X2] :
      ( q1(X0,X1,X0)
      | ~ n0(X2,X1) ),
    inference(resolution,[status(thm)],[f555,f383]) ).

fof(f2696,plain,
    ! [X0] : q1(X0,a,X0),
    inference(resolution,[status(thm)],[f2688,f406]) ).

fof(f2717,plain,
    $false,
    inference(resolution,[status(thm)],[f2696,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN279-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue May 30 10:29:12 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  % Drodi V3.5.1
% 0.16/0.39  % Refutation found
% 0.16/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.42  % Elapsed time: 0.081684 seconds
% 0.16/0.42  % CPU time: 0.172352 seconds
% 0.16/0.42  % Memory used: 16.238 MB
%------------------------------------------------------------------------------