TSTP Solution File: SYN153-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN153-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:46:07 EDT 2023

% Result   : Unsatisfiable 0.11s 0.29s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (;  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [I,J] :
      ( k1(I)
      | ~ n0(J,I) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f197,axiom,
    ! [A] :
      ( p2(A,A,A)
      | ~ k1(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f278,axiom,
    ! [D,E,F] :
      ( n3(D)
      | ~ p2(E,F,D) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ n3(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f408,plain,
    ! [I] :
      ( k1(I)
      | ! [J] : ~ n0(J,I) ),
    inference(miniscoping,[status(esa)],[f39]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( k1(X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f408]) ).

fof(f659,plain,
    ! [X0] :
      ( p2(X0,X0,X0)
      | ~ k1(X0) ),
    inference(cnf_transformation,[status(esa)],[f197]) ).

fof(f778,plain,
    ! [D] :
      ( n3(D)
      | ! [E,F] : ~ p2(E,F,D) ),
    inference(miniscoping,[status(esa)],[f278]) ).

fof(f779,plain,
    ! [X0,X1,X2] :
      ( n3(X0)
      | ~ p2(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f778]) ).

fof(f924,plain,
    ~ n3(a),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f2014,plain,
    k1(a),
    inference(resolution,[status(thm)],[f409,f406]) ).

fof(f2080,plain,
    p2(a,a,a),
    inference(resolution,[status(thm)],[f659,f2014]) ).

fof(f2129,plain,
    n3(a),
    inference(resolution,[status(thm)],[f2080,f779]) ).

fof(f2130,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2129,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN153-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n029.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Tue May 30 10:39:21 EDT 2023
% 0.07/0.27  % CPUTime  : 
% 0.11/0.28  % Drodi V3.5.1
% 0.11/0.29  % Refutation found
% 0.11/0.29  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.51  % Elapsed time: 0.015673 seconds
% 0.11/0.51  % CPU time: 0.050934 seconds
% 0.11/0.51  % Memory used: 11.406 MB
%------------------------------------------------------------------------------