%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KLE056+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 20:24:18 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  14 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   8   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [A] : addition(A,zero) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [A] : multiplication(zero,A) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f22,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f30,plain,
    ! [X0] : multiplication(zero,X0) = zero,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f35,plain,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(cnf_transformation,[status(esa)],[f13]) ).

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

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

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

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

fof(f150,plain,
    addition(sk0_0,multiplication(zero,sk0_0)) = multiplication(domain(sk0_0),sk0_0),
    inference(paramodulation,[status(thm)],[f42,f35]) ).

fof(f151,plain,
    addition(sk0_0,zero) = multiplication(domain(sk0_0),sk0_0),
    inference(forward_demodulation,[status(thm)],[f30,f150]) ).

fof(f152,plain,
    sk0_0 = multiplication(domain(sk0_0),sk0_0),
    inference(forward_demodulation,[status(thm)],[f22,f151]) ).

fof(f153,plain,
    sk0_0 = multiplication(zero,sk0_0),
    inference(forward_demodulation,[status(thm)],[f42,f152]) ).

fof(f154,plain,
    sk0_0 = zero,
    inference(forward_demodulation,[status(thm)],[f30,f153]) ).

fof(f155,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f154,f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE056+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n021.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 : Tue Apr 30 01:05:55 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.020277 seconds
% 0.14/0.37  % CPU time: 0.031051 seconds
% 0.14/0.37  % Total memory used: 8.424 MB
% 0.14/0.37  % Net memory used: 8.337 MB
%------------------------------------------------------------------------------