TSTP Solution File: GRP023-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP023-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:09:44 EDT 2023

% Result   : Unsatisfiable 0.05s 0.26s
% Output   : CNFRefutation 0.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X] : multiply(inverse(X),X) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] : multiply(X,identity) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    inverse(identity) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,plain,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f10,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    inverse(identity) != identity,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f13,plain,
    inverse(identity) = identity,
    inference(paramodulation,[status(thm)],[f10,f8]) ).

fof(f14,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f13,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : GRP023-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.06  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.05/0.25  % Computer : n017.cluster.edu
% 0.05/0.25  % Model    : x86_64 x86_64
% 0.05/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.25  % Memory   : 8042.1875MB
% 0.05/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.05/0.25  % CPULimit : 300
% 0.05/0.25  % WCLimit  : 300
% 0.05/0.25  % DateTime : Tue May 30 10:57:25 EDT 2023
% 0.05/0.25  % CPUTime  : 
% 0.05/0.25  % Drodi V3.5.1
% 0.05/0.26  % Refutation found
% 0.05/0.26  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.05/0.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48  % Elapsed time: 0.013795 seconds
% 0.10/0.48  % CPU time: 0.022417 seconds
% 0.10/0.48  % Memory used: 630.004 KB
%------------------------------------------------------------------------------