%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP493-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 12:11:51 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 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    :    5 (   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   :   26 (;  26   !;   0   ?)

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

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

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

fof(f4,axiom,
    ! [A] : identity = double_divide(A,inverse(A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    multiply(inverse(a1),a1) != identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    multiply(inverse(a1),a1) != identity,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f8,f7]) ).

fof(f12,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(paramodulation,[status(thm)],[f9,f11]) ).

fof(f15,plain,
    inverse(identity) != identity,
    inference(backward_demodulation,[status(thm)],[f12,f10]) ).

fof(f75,plain,
    ! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2))) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f6]) ).

fof(f83,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,inverse(identity)),double_divide(X0,inverse(X1)))) = X1,
    inference(paramodulation,[status(thm)],[f9,f75]) ).

fof(f84,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,inverse(X1)))) = X1,
    inference(forward_demodulation,[status(thm)],[f9,f83]) ).

fof(f167,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
    inference(paramodulation,[status(thm)],[f9,f84]) ).

fof(f168,plain,
    ! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f167]) ).

fof(f180,plain,
    double_divide(identity,inverse(identity)) = inverse(identity),
    inference(paramodulation,[status(thm)],[f9,f168]) ).

fof(f181,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[status(thm)],[f9,f180]) ).

fof(f182,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f181,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP493-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 11:35:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.58  % Elapsed time: 0.016170 seconds
% 0.27/0.58  % CPU time: 0.038872 seconds
% 0.27/0.58  % Memory used: 1.011 MB
%------------------------------------------------------------------------------