%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : KLE059+1 : TPTP v8.1.2. Released v4.0.0.
% 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 12:15:41 EDT 2023

% Result   : Theorem 0.31s 0.63s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (;   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,conjecture,
    ! [X0,X1] :
      ( addition(X0,X1) = X1
     => addition(domain(X0),domain(X1)) = domain(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ~ ! [X0,X1] :
        ( addition(X0,X1) = X1
       => addition(domain(X0),domain(X1)) = domain(X1) ),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f39,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f40,plain,
    ? [X0,X1] :
      ( addition(X0,X1) = X1
      & addition(domain(X0),domain(X1)) != domain(X1) ),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

fof(f41,plain,
    ( addition(sk0_0,sk0_1) = sk0_1
    & addition(domain(sk0_0),domain(sk0_1)) != domain(sk0_1) ),
    inference(skolemization,[status(esa)],[f40]) ).

fof(f42,plain,
    addition(sk0_0,sk0_1) = sk0_1,
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f43,plain,
    addition(domain(sk0_0),domain(sk0_1)) != domain(sk0_1),
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f120,plain,
    domain(addition(sk0_0,sk0_1)) != domain(sk0_1),
    inference(backward_demodulation,[status(thm)],[f39,f43]) ).

fof(f121,plain,
    domain(sk0_1) != domain(sk0_1),
    inference(forward_demodulation,[status(thm)],[f42,f120]) ).

fof(f122,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE059+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 12:01:52 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V3.5.1
% 0.31/0.63  % Refutation found
% 0.31/0.63  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.31/0.63  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.31/0.63  % Elapsed time: 0.065383 seconds
% 0.31/0.63  % CPU time: 0.023870 seconds
% 0.31/0.63  % Memory used: 2.320 MB
%------------------------------------------------------------------------------