%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP556-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 20:20:56 EDT 2024

% Result   : Unsatisfiable 0.11s 0.40s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 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   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : divide(divide(A,inverse(divide(B,divide(A,C)))),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(divide(X0,inverse(divide(X1,divide(X0,X2)))),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] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f4]) ).

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

fof(f9,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f8]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,divide(X0,X2)))),
    inference(paramodulation,[status(thm)],[f7,f7]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3] : divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
    inference(paramodulation,[status(thm)],[f7,f7]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),divide(X3,X1)),X2) = X3,
    inference(paramodulation,[status(thm)],[f9,f9]) ).

fof(f25,plain,
    ! [X0,X1,X2] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
    inference(paramodulation,[status(thm)],[f10,f7]) ).

fof(f27,plain,
    ! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
    inference(paramodulation,[status(thm)],[f5,f25]) ).

fof(f28,plain,
    ! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f27]) ).

fof(f84,plain,
    ! [X0,X1,X2] : divide(X0,divide(X1,multiply(X1,divide(X2,X0)))) = X2,
    inference(paramodulation,[status(thm)],[f28,f11]) ).

fof(f178,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
    inference(paramodulation,[status(thm)],[f9,f17]) ).

fof(f218,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
    inference(paramodulation,[status(thm)],[f178,f84]) ).

fof(f246,plain,
    ! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
    inference(paramodulation,[status(thm)],[f218,f7]) ).

fof(f306,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f246,f178]) ).

fof(f381,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f6,f306]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem  : GRP556-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35  % Computer : n021.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Tue Apr 30 00:37:25 EDT 2024
% 0.11/0.36  % CPUTime  : 
% 0.11/0.37  % Drodi V3.6.0
% 0.11/0.40  % Refutation found
% 0.11/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.40  % Elapsed time: 0.024204 seconds
% 0.11/0.40  % CPU time: 0.065243 seconds
% 0.11/0.40  % Total memory used: 4.753 MB
% 0.11/0.40  % Net memory used: 4.613 MB
%------------------------------------------------------------------------------