%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:12:51 EDT 2024

% Result   : Unsatisfiable 0.12s 0.28s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   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   :   23 (  23   !;   0   ?)

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

fof(f4,axiom,
    ! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] : add(X,inverse(X)) = multiplicative_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X] : multiply(X,multiplicative_identity) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X] : multiply(multiplicative_identity,X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    add(a,multiplicative_identity) != multiplicative_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f19,plain,
    ! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f22,plain,
    ! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f26,plain,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f27,plain,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f30,plain,
    add(a,multiplicative_identity) != multiplicative_identity,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f33,plain,
    add(multiplicative_identity,a) != multiplicative_identity,
    inference(backward_demodulation,[status(thm)],[f16,f30]) ).

fof(f82,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
    inference(paramodulation,[status(thm)],[f22,f19]) ).

fof(f95,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
    inference(forward_demodulation,[status(thm)],[f27,f82]) ).

fof(f155,plain,
    ! [X0] : add(X0,multiplicative_identity) = add(X0,inverse(X0)),
    inference(paramodulation,[status(thm)],[f26,f95]) ).

fof(f236,plain,
    ! [X0] : add(X0,multiplicative_identity) = multiplicative_identity,
    inference(paramodulation,[status(thm)],[f22,f155]) ).

fof(f259,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(paramodulation,[status(thm)],[f16,f236]) ).

fof(f270,plain,
    $false,
    inference(resolution,[status(thm)],[f259,f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n023.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Mon Apr 29 22:49:10 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.07/0.27  % Drodi V3.6.0
% 0.12/0.28  % Refutation found
% 0.12/0.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.28  % Elapsed time: 0.011292 seconds
% 0.12/0.28  % CPU time: 0.028670 seconds
% 0.12/0.28  % Total memory used: 3.365 MB
% 0.12/0.28  % Net memory used: 3.330 MB
%------------------------------------------------------------------------------