%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP560-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:20:57 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   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   :   38 (  38   !;   0   ?)

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

fof(f2,axiom,
    ! [A,B] : multiply(A,B) = divide(A,inverse(B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1,X2] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    multiply(a,b) != multiply(b,a),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1,X2] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f4]) ).

fof(f8,plain,
    ! [X0,X1,X2] : X0 = multiply(X1,divide(multiply(X0,X2),divide(X1,inverse(X2)))),
    inference(paramodulation,[status(thm)],[f5,f7]) ).

fof(f10,plain,
    ! [X0,X1,X2] : X0 = multiply(X1,divide(multiply(X0,X2),multiply(X1,X2))),
    inference(forward_demodulation,[status(thm)],[f5,f8]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3] : X0 = multiply(X1,divide(X2,multiply(X1,divide(multiply(X2,X3),multiply(X0,X3))))),
    inference(paramodulation,[status(thm)],[f10,f10]) ).

fof(f16,plain,
    ! [X0,X1] : X0 = multiply(X0,divide(X1,X1)),
    inference(paramodulation,[status(thm)],[f10,f12]) ).

fof(f28,plain,
    ! [X0,X1] : X0 = multiply(X1,divide(X0,X1)),
    inference(paramodulation,[status(thm)],[f16,f12]) ).

fof(f40,plain,
    ! [X0,X1] : X0 = multiply(inverse(X1),multiply(X0,X1)),
    inference(paramodulation,[status(thm)],[f5,f28]) ).

fof(f64,plain,
    ! [X0,X1] : X0 = multiply(inverse(divide(X1,X1)),X0),
    inference(paramodulation,[status(thm)],[f16,f40]) ).

fof(f154,plain,
    ! [X0,X1,X2] : divide(multiply(X0,X1),multiply(inverse(divide(X2,X2)),X1)) = X0,
    inference(paramodulation,[status(thm)],[f10,f64]) ).

fof(f184,plain,
    ! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f64,f154]) ).

fof(f216,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f184,f28]) ).

fof(f220,plain,
    $false,
    inference(resolution,[status(thm)],[f216,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP560-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 00:28:58 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37  % Elapsed time: 0.023630 seconds
% 0.20/0.37  % CPU time: 0.064957 seconds
% 0.20/0.37  % Total memory used: 3.556 MB
% 0.20/0.37  % Net memory used: 3.546 MB
%------------------------------------------------------------------------------