%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : BOO021-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 20:12:58 EDT 2024

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

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

fof(f2,axiom,
    ! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f7,negated_conjecture,
    multiply(b,a) != multiply(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,plain,
    ! [X0,X1] : multiply(add(X0,X1),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f9,plain,
    ! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f11,plain,
    ! [X0,X1] : add(multiply(X0,X1),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    multiply(b,a) != multiply(a,b),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f16,plain,
    ! [X0] : X0 = add(X0,X0),
    inference(paramodulation,[status(thm)],[f8,f11]) ).

fof(f19,plain,
    ! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f16,f9]) ).

fof(f24,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[status(thm)],[f16,f19]) ).

fof(f25,plain,
    $false,
    inference(resolution,[status(thm)],[f24,f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : BOO021-1 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.31  % Computer : n025.cluster.edu
% 0.15/0.31  % Model    : x86_64 x86_64
% 0.15/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31  % Memory   : 8042.1875MB
% 0.15/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31  % CPULimit : 300
% 0.15/0.31  % WCLimit  : 300
% 0.15/0.31  % DateTime : Mon Apr 29 22:51:26 EDT 2024
% 0.15/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.33  % Refutation found
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35  % Elapsed time: 0.016508 seconds
% 0.15/0.35  % CPU time: 0.015843 seconds
% 0.15/0.35  % Total memory used: 1.698 MB
% 0.15/0.35  % Net memory used: 1.613 MB
%------------------------------------------------------------------------------