TSTP Solution File: SYN241-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN241-1 : 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 : Tue Apr 30 20:51:40 EDT 2024

% Result   : Unsatisfiable 0.11s 0.28s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,axiom,
    ! [X,Y] : m0(X,d,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,axiom,
    ! [E,F,G] :
      ( m1(E,E,E)
      | ~ m0(F,G,E) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ! [X] : ~ m1(a,a,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f388,plain,
    ! [X0,X1] : m0(X0,d,X1),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f430,plain,
    ! [E] :
      ( m1(E,E,E)
      | ! [F,G] : ~ m0(F,G,E) ),
    inference(miniscoping,[status(esa)],[f52]) ).

fof(f431,plain,
    ! [X0,X1,X2] :
      ( m1(X0,X0,X0)
      | ~ m0(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f430]) ).

fof(f924,plain,
    ! [X0] : ~ m1(a,a,X0),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1992,plain,
    ! [X0] : m1(X0,X0,X0),
    inference(resolution,[status(thm)],[f388,f431]) ).

fof(f1994,plain,
    $false,
    inference(resolution,[status(thm)],[f1992,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN241-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n022.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 : Mon Apr 29 21:53:13 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.07/0.28  % Drodi V3.6.0
% 0.11/0.28  % Refutation found
% 0.11/0.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.29  % Elapsed time: 0.017665 seconds
% 0.11/0.29  % CPU time: 0.027828 seconds
% 0.11/0.29  % Total memory used: 10.233 MB
% 0.11/0.29  % Net memory used: 10.204 MB
%------------------------------------------------------------------------------