TSTP Solution File: SYN153-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% 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 : n015.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 20:51:27 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% 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/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f369,negated_conjecture,
    ~ n3(a),
    file('/export/starexec/sandbox/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(f2126,plain,
    n3(a),
    inference(resolution,[status(thm)],[f2080,f779]) ).

fof(f2127,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2126,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN153-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 22:16:47 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.032346 seconds
% 0.14/0.38  % CPU time: 0.060935 seconds
% 0.14/0.38  % Total memory used: 11.976 MB
% 0.14/0.38  % Net memory used: 11.933 MB
%------------------------------------------------------------------------------