%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP616-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n029.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 07:03:00 EDT 2022

% Result   : Unsatisfiable 0.76s 0.94s
% Output   : CNFRefutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   26 (  26 unt;   0 nHn;   5 RR)
%            Number of literals    :   26 (  25 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),double_divide(B,C)),
    file('/tmp/MaedMax_3429') ).

cnf(eq_1,axiom,
    inverse(double_divide(A,B)) = multiply(B,A),
    file('/tmp/MaedMax_3429') ).

cnf(eq_2,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/tmp/MaedMax_3429') ).

cnf(eq_3,negated_conjecture,
    inverse(double_divide(a,b)) != inverse(double_divide(b,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).

cnf(eq_4,plain,
    double_divide(inverse(A),double_divide(inverse(double_divide(B,inverse(A))),double_divide(B,inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_5,plain,
    double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),inverse(x101))),double_divide(B,C))),A) = x101,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_6,plain,
    A = double_divide(inverse(B),double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,inverse(A)))),
    eq_4 ).

cnf(eq_7,plain,
    A = double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(B,inverse(C))),x3)),inverse(A))),double_divide(B,x3))),C),
    eq_5 ).

cnf(eq_8,plain,
    double_divide(inverse(double_divide(inverse(A),double_divide(inverse(double_divide(inverse(double_divide(B,inverse(inverse(x103)))),x3)),double_divide(B,x3)))),A) = x103,
    inference(cp,[status(thm)],[eq_7,eq_7]) ).

cnf(eq_9,plain,
    A = double_divide(inverse(double_divide(inverse(B),inverse(A))),B),
    inference(rw,[status(thm)],[eq_8,eq_0]) ).

cnf(eq_10,plain,
    double_divide(inverse(A),double_divide(inverse(inverse(x101)),inverse(A))) = x101,
    inference(cp,[status(thm)],[eq_9,eq_9]) ).

cnf(eq_11,plain,
    double_divide(inverse(double_divide(inverse(A),x102)),double_divide(inverse(double_divide(inverse(inverse(x101)),inverse(A))),x102)) = x101,
    inference(cp,[status(thm)],[eq_9,eq_0]) ).

cnf(eq_12,plain,
    A = double_divide(inverse(B),double_divide(inverse(inverse(A)),inverse(B))),
    eq_10 ).

cnf(eq_13,plain,
    A = double_divide(inverse(double_divide(inverse(B),C)),double_divide(inverse(double_divide(inverse(inverse(A)),inverse(B))),C)),
    eq_11 ).

cnf(eq_14,plain,
    double_divide(inverse(x100),A) = double_divide(inverse(inverse(A)),inverse(x100)),
    inference(cp,[status(thm)],[eq_12,eq_6]) ).

cnf(eq_15,plain,
    double_divide(inverse(A),B) = double_divide(inverse(inverse(B)),inverse(A)),
    eq_14 ).

cnf(eq_16,plain,
    double_divide(inverse(A),double_divide(inverse(A),B)) = B,
    inference(cp,[status(thm)],[eq_15,eq_12]) ).

cnf(eq_17,plain,
    A = double_divide(inverse(B),double_divide(inverse(B),A)),
    eq_16 ).

cnf(eq_18,plain,
    A = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_13,eq_17]) ).

cnf(eq_19,plain,
    double_divide(A,inverse(x101)) = double_divide(inverse(x101),A),
    inference(cp,[status(thm)],[eq_18,eq_15]) ).

cnf(eq_20,plain,
    double_divide(A,inverse(B)) = double_divide(inverse(B),A),
    eq_19 ).

cnf(eq_21,plain,
    double_divide(x100,A) = double_divide(inverse(inverse(A)),x100),
    inference(cp,[status(thm)],[eq_18,eq_20]) ).

cnf(eq_22,plain,
    double_divide(A,B) = double_divide(B,A),
    inference(rw,[status(thm)],[eq_21,eq_18]) ).

cnf(eq_23,negated_conjecture,
    inverse(double_divide(b,a)) != inverse(double_divide(b,a)),
    inference(cp,[status(thm)],[eq_22,eq_3]) ).

cnf(eq_24,negated_conjecture,
    multiply(a,b) != multiply(a,b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_1]),eq_1]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP616-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n029.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 Jul 26 04:32:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.76/0.94  % SZS status Unsatisfiable
% 0.76/0.94  % SZS output start CNFRefutation for /tmp/MaedMax_3429
% See solution above
% 0.76/0.94  
%------------------------------------------------------------------------------