%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %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 : Tue Jul 26 07:02:57 EDT 2022

% Result   : Unsatisfiable 0.54s 0.73s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;   3 RR)
%            Number of literals    :   21 (  20 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(B,inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C))),
    file('/tmp/MaedMax_537') ).

cnf(eq_1,axiom,
    inverse(double_divide(A,B)) = multiply(B,A),
    file('/tmp/MaedMax_537') ).

cnf(eq_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/tmp/MaedMax_537') ).

cnf(eq_3,plain,
    double_divide(x100,inverse(double_divide(inverse(A),x101))) = double_divide(inverse(double_divide(double_divide(double_divide(x100,x101),C),inverse(A))),C),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_4,plain,
    double_divide(B,inverse(double_divide(inverse(double_divide(A,inverse(x102))),inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C))))) = x102,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_5,plain,
    double_divide(A,inverse(double_divide(inverse(B),C))) = double_divide(inverse(double_divide(double_divide(double_divide(A,C),x3),inverse(B))),x3),
    eq_3 ).

cnf(eq_6,plain,
    A = double_divide(B,inverse(double_divide(inverse(double_divide(C,inverse(A))),inverse(double_divide(inverse(double_divide(double_divide(B,x3),inverse(C))),x3))))),
    eq_4 ).

cnf(eq_7,plain,
    double_divide(inverse(double_divide(A,inverse(x102))),inverse(A)) = x102,
    inference(cp,[status(thm)],[eq_0,eq_6]) ).

cnf(eq_8,plain,
    double_divide(double_divide(A,C),inverse(double_divide(A,inverse(double_divide(inverse(B),C))))) = B,
    inference(cp,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_9,plain,
    double_divide(inverse(double_divide(double_divide(double_divide(A,C),x3),inverse(B))),inverse(double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(inverse(B),C))),inverse(x102))),x3))) = x102,
    inference(cp,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_10,plain,
    A = double_divide(inverse(double_divide(double_divide(double_divide(B,C),x3),inverse(x4))),inverse(double_divide(inverse(double_divide(double_divide(B,inverse(double_divide(inverse(x4),C))),inverse(A))),x3))),
    eq_9 ).

cnf(eq_11,plain,
    A = double_divide(double_divide(B,C),inverse(double_divide(B,inverse(double_divide(inverse(A),C))))),
    eq_8 ).

cnf(eq_12,plain,
    A = double_divide(inverse(double_divide(B,inverse(A))),inverse(B)),
    eq_7 ).

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

cnf(eq_14,plain,
    double_divide(inverse(double_divide(double_divide(double_divide(x100,x101),inverse(double_divide(x100,inverse(double_divide(inverse(x103),x101))))),inverse(x103))),inverse(A)) = A,
    inference(cp,[status(thm)],[eq_12,eq_10]) ).

cnf(eq_15,plain,
    A = double_divide(inverse(double_divide(B,inverse(B))),inverse(A)),
    inference(rw,[status(thm)],[eq_14,eq_11]) ).

cnf(eq_16,plain,
    A = double_divide(inverse(B),inverse(inverse(double_divide(A,inverse(B))))),
    eq_13 ).

cnf(eq_17,plain,
    A = inverse(double_divide(A,inverse(double_divide(x100,inverse(x100))))),
    inference(cp,[status(thm)],[eq_16,eq_15]) ).

cnf(eq_18,plain,
    A = inverse(double_divide(A,inverse(double_divide(B,inverse(B))))),
    eq_17 ).

cnf(eq_19,negated_conjecture,
    a2 != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]),eq_18]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 04:21:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.54/0.73  % SZS status Unsatisfiable
% 0.54/0.73  % SZS output start CNFRefutation for /tmp/MaedMax_537
% See solution above
% 0.54/0.73  
%------------------------------------------------------------------------------