TSTP Solution File: COL055-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL055-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:13:40 EDT 2024

% Result   : Unsatisfiable 0.13s 0.32s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   7   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,hypothesis,
    response(a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [Z,W] :
      ( response(a,Z) != W
      | response(a,W) != Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,plain,
    response(a,b) = b,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f4,plain,
    ! [X0,X1] :
      ( response(a,X0) != X1
      | response(a,X1) != X0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f5,plain,
    ! [X0] : response(a,response(a,X0)) != X0,
    inference(destructive_equality_resolution,[status(esa)],[f4]) ).

fof(f6,plain,
    response(a,b) != b,
    inference(paramodulation,[status(thm)],[f3,f5]) ).

fof(f7,plain,
    b != b,
    inference(forward_demodulation,[status(thm)],[f3,f6]) ).

fof(f8,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : COL055-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31  % Computer : n003.cluster.edu
% 0.08/0.31  % Model    : x86_64 x86_64
% 0.08/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31  % Memory   : 8042.1875MB
% 0.08/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31  % CPULimit : 300
% 0.08/0.31  % WCLimit  : 300
% 0.08/0.31  % DateTime : Mon Apr 29 22:36:33 EDT 2024
% 0.08/0.31  % CPUTime  : 
% 0.13/0.31  % Drodi V3.6.0
% 0.13/0.32  % Refutation found
% 0.13/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.34  % Elapsed time: 0.015032 seconds
% 0.13/0.34  % CPU time: 0.008378 seconds
% 0.13/0.34  % Total memory used: 1.160 MB
% 0.13/0.34  % Net memory used: 1.135 MB
%------------------------------------------------------------------------------