%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP455-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    8 (   2 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   :   31 (;  31   !;   0   ?)

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

fof(f2,axiom,
    ! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
    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(identity,a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f10,plain,
    multiply(identity,a2) != a2,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    ! [X0] : multiply(X0,identity) = divide(X0,identity),
    inference(paramodulation,[status(thm)],[f9,f7]) ).

fof(f17,plain,
    ! [X0,X1,X2] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
    inference(forward_demodulation,[status(thm)],[f9,f6]) ).

fof(f20,plain,
    ! [X0,X1] : divide(multiply(identity,divide(X0,divide(divide(identity,identity),X1))),X1) = X0,
    inference(paramodulation,[status(thm)],[f7,f17]) ).

fof(f21,plain,
    ! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f9,f20]) ).

fof(f22,plain,
    ! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f7,f21]) ).

fof(f29,plain,
    ! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
    inference(paramodulation,[status(thm)],[f9,f17]) ).

fof(f30,plain,
    ! [X0,X1] : multiply(divide(identity,divide(X0,divide(X1,identity))),X0) = X1,
    inference(forward_demodulation,[status(thm)],[f7,f29]) ).

fof(f95,plain,
    ! [X0] : multiply(divide(identity,identity),divide(X0,identity)) = X0,
    inference(paramodulation,[status(thm)],[f9,f30]) ).

fof(f96,plain,
    ! [X0] : multiply(identity,divide(X0,identity)) = X0,
    inference(forward_demodulation,[status(thm)],[f9,f95]) ).

fof(f111,plain,
    ! [X0] : multiply(identity,X0) = multiply(identity,multiply(X0,identity)),
    inference(paramodulation,[status(thm)],[f22,f96]) ).

fof(f112,plain,
    ! [X0] : multiply(identity,X0) = multiply(identity,divide(X0,identity)),
    inference(forward_demodulation,[status(thm)],[f13,f111]) ).

fof(f113,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f96,f112]) ).

fof(f197,plain,
    a2 != a2,
    inference(backward_demodulation,[status(thm)],[f113,f10]) ).

fof(f198,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f197]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : GRP455-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n023.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Tue May 30 11:46:08 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48  % Elapsed time: 0.006910 seconds
% 0.10/0.48  % CPU time: 0.024272 seconds
% 0.10/0.48  % Memory used: 945.623 KB
%------------------------------------------------------------------------------