%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP493-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n004.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 Jul 26 07:02:49 EDT 2022

% Result   : Unsatisfiable 0.37s 0.62s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;   7 RR)
%            Number of literals    :   19 (  18 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(identity,B),double_divide(double_divide(double_divide(A,C),double_divide(identity,identity)),double_divide(B,C))),
    file('/tmp/MaedMax_3394') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_3394') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_3394') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_3394') ).

cnf(eq_4,negated_conjecture,
    identity != multiply(inverse(a1),a1),
    file('/tmp/MaedMax_3394') ).

cnf(eq_5,plain,
    A = double_divide(double_divide(identity,B),double_divide(double_divide(double_divide(A,C),inverse(identity)),double_divide(B,C))),
    inference(rw,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_6,negated_conjecture,
    identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_1]) ).

cnf(eq_7,plain,
    double_divide(double_divide(identity,x100),double_divide(double_divide(A,double_divide(identity,identity)),double_divide(x100,double_divide(double_divide(double_divide(A,C),double_divide(identity,identity)),double_divide(B,C))))) = double_divide(identity,B),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_8,plain,
    double_divide(identity,A) = double_divide(double_divide(identity,B),double_divide(double_divide(C,double_divide(identity,identity)),double_divide(B,double_divide(double_divide(double_divide(C,x3),double_divide(identity,identity)),double_divide(A,x3))))),
    eq_7 ).

cnf(eq_9,plain,
    double_divide(identity,A) = double_divide(double_divide(identity,B),double_divide(double_divide(C,inverse(identity)),double_divide(B,double_divide(double_divide(double_divide(C,x3),inverse(identity)),double_divide(A,x3))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_2]) ).

cnf(eq_10,negated_conjecture,
    identity != inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_3]),eq_2]) ).

cnf(eq_11,plain,
    double_divide(identity,double_divide(double_divide(double_divide(x101,x102),inverse(identity)),double_divide(inverse(identity),x102))) = x101,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_12,plain,
    A = double_divide(identity,double_divide(double_divide(double_divide(A,B),inverse(identity)),double_divide(inverse(identity),B))),
    eq_11 ).

cnf(eq_13,plain,
    double_divide(double_divide(identity,identity),double_divide(double_divide(A,inverse(identity)),A)) = double_divide(identity,inverse(identity)),
    inference(cp,[status(thm)],[eq_12,eq_9]) ).

cnf(eq_14,plain,
    identity = double_divide(inverse(identity),double_divide(double_divide(A,inverse(identity)),A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_2]),eq_3]) ).

cnf(eq_15,plain,
    double_divide(identity,double_divide(double_divide(identity,inverse(identity)),double_divide(inverse(identity),double_divide(double_divide(A,inverse(identity)),A)))) = inverse(identity),
    inference(cp,[status(thm)],[eq_14,eq_12]) ).

cnf(eq_16,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_3]),eq_14]),eq_2]),eq_3]) ).

cnf(eq_17,negated_conjecture,
    identity != identity,
    inference(cp,[status(thm)],[eq_16,eq_10]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP493-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.14  % Command  : run_maedmax %d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Jul 26 04:21:21 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.37/0.62  % SZS status Unsatisfiable
% 0.37/0.62  % SZS output start CNFRefutation for /tmp/MaedMax_3394
% See solution above
% 0.37/0.62  
%------------------------------------------------------------------------------