%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 12:11:45 EDT 2023

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% 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 :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   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   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

fof(f9,plain,
    ! [X0] : identity = divide(X0,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) = divide(X0,inverse(X1)),
    inference(backward_demodulation,[status(thm)],[f8,f7]) ).

fof(f18,plain,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    inference(paramodulation,[status(thm)],[f9,f11]) ).

fof(f22,plain,
    identity != identity,
    inference(backward_demodulation,[status(thm)],[f18,f10]) ).

fof(f23,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n012.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 11:22:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.57  % Elapsed time: 0.008925 seconds
% 0.20/0.57  % CPU time: 0.025814 seconds
% 0.20/0.57  % Memory used: 646.453 KB
%------------------------------------------------------------------------------