%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:15:51 EDT 2023

% Result   : Theorem 0.19s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 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   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : addition(A,B) = addition(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f10,axiom,
    ! [A] : multiplication(zero,A) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    strong_iteration(zero) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    strong_iteration(zero) != one,
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f21,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f23,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)],[f10]) ).

fof(f37,plain,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f45,plain,
    strong_iteration(zero) != one,
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f61,plain,
    ! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
    inference(paramodulation,[status(thm)],[f37,f21]) ).

fof(f72,plain,
    strong_iteration(zero) = addition(one,zero),
    inference(paramodulation,[status(thm)],[f30,f61]) ).

fof(f73,plain,
    strong_iteration(zero) = one,
    inference(forward_demodulation,[status(thm)],[f23,f72]) ).

fof(f74,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f73,f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 12:01:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  % Drodi V3.5.1
% 0.19/0.37  % Refutation found
% 0.19/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.37  % Elapsed time: 0.021281 seconds
% 0.19/0.37  % CPU time: 0.030281 seconds
% 0.19/0.37  % Memory used: 9.155 MB
%------------------------------------------------------------------------------