%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 12:15:42 EDT 2023

% Result   : Theorem 0.14s 0.54s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (;  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [A] : multiplication(one,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f26,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f36,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[status(esa)],[f14]) ).

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] : domain(addition(domain(X0),domain(X1))) != addition(domain(X0),domain(X1)),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

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

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

fof(f103,plain,
    domain(addition(domain(sk0_0),domain(sk0_1))) != domain(addition(sk0_0,sk0_1)),
    inference(backward_demodulation,[status(thm)],[f39,f42]) ).

fof(f104,plain,
    domain(domain(addition(sk0_0,sk0_1))) != domain(addition(sk0_0,sk0_1)),
    inference(forward_demodulation,[status(thm)],[f39,f103]) ).

fof(f269,plain,
    ! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
    inference(paramodulation,[status(thm)],[f26,f36]) ).

fof(f270,plain,
    ! [X0] : domain(X0) = domain(domain(X0)),
    inference(forward_demodulation,[status(thm)],[f26,f269]) ).

fof(f302,plain,
    domain(addition(sk0_0,sk0_1)) != domain(addition(sk0_0,sk0_1)),
    inference(backward_demodulation,[status(thm)],[f270,f104]) ).

fof(f303,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f302]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n027.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 12:06:18 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.14/0.31  % Drodi V3.5.1
% 0.14/0.54  % Refutation found
% 0.14/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.54  % Elapsed time: 0.013341 seconds
% 0.14/0.54  % CPU time: 0.017961 seconds
% 0.14/0.54  % Memory used: 2.435 MB
%------------------------------------------------------------------------------