%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : KLE086+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 12:15:45 EDT 2023

% Result   : Theorem 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 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    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : addition(A,B) = addition(B,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A] : addition(A,zero) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : multiplication(A,one) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X0] : multiplication(antidomain(X0),X0) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,conjecture,
    domain(zero) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    domain(zero) != zero,
    inference(negated_conjecture,[status(cth)],[f21]) ).

fof(f23,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f25,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f28,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f38,plain,
    ! [X0] : multiplication(antidomain(X0),X0) = zero,
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f40,plain,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f41,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f46,plain,
    domain(zero) != zero,
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f48,plain,
    ! [X0] : multiplication(domain(X0),antidomain(X0)) = zero,
    inference(paramodulation,[status(thm)],[f41,f38]) ).

fof(f55,plain,
    zero = antidomain(one),
    inference(paramodulation,[status(thm)],[f38,f28]) ).

fof(f59,plain,
    domain(one) = antidomain(zero),
    inference(paramodulation,[status(thm)],[f55,f41]) ).

fof(f67,plain,
    ! [X0] : X0 = addition(zero,X0),
    inference(paramodulation,[status(thm)],[f25,f23]) ).

fof(f89,plain,
    ! [X0] : addition(antidomain(X0),antidomain(antidomain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f23,f40]) ).

fof(f90,plain,
    ! [X0] : addition(antidomain(X0),domain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f41,f89]) ).

fof(f91,plain,
    addition(zero,domain(one)) = one,
    inference(paramodulation,[status(thm)],[f55,f90]) ).

fof(f92,plain,
    domain(one) = one,
    inference(forward_demodulation,[status(thm)],[f67,f91]) ).

fof(f93,plain,
    antidomain(zero) = one,
    inference(forward_demodulation,[status(thm)],[f59,f92]) ).

fof(f104,plain,
    multiplication(domain(zero),one) = zero,
    inference(paramodulation,[status(thm)],[f93,f48]) ).

fof(f105,plain,
    domain(zero) = zero,
    inference(forward_demodulation,[status(thm)],[f28,f104]) ).

fof(f106,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f105,f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : KLE086+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 12:00:43 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 0.20/0.57  % Refutation found
% 0.20/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.57  % Elapsed time: 0.018187 seconds
% 0.20/0.57  % CPU time: 0.020258 seconds
% 0.20/0.57  % Memory used: 2.323 MB
%------------------------------------------------------------------------------