%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n015.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 07:02:56 EDT 2022

% Result   : Unsatisfiable 0.54s 0.74s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   65 (  65 unt;   0 nHn;  14 RR)
%            Number of literals    :   65 (  64 equ;   6 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   86 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(C,B)),double_divide(C,identity))),double_divide(identity,identity)),
    file('/tmp/MaedMax_25258') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_25258') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_25258') ).

cnf(eq_3,axiom,
    double_divide(A,inverse(A)) = identity,
    file('/tmp/MaedMax_25258') ).

cnf(eq_4,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/tmp/MaedMax_25258') ).

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

cnf(eq_6,plain,
    multiply(A,B) = inverse(double_divide(B,A)),
    inference(rw,[status(thm)],[eq_1,eq_2]) ).

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

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

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

cnf(eq_10,negated_conjecture,
    inverse(double_divide(a,b)) != inverse(double_divide(b,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_6]),eq_6]) ).

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

cnf(eq_12,plain,
    double_divide(double_divide(identity,double_divide(double_divide(x101,inverse(A)),inverse(A))),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_13,plain,
    A = double_divide(double_divide(inverse(B),double_divide(inverse(A),inverse(B))),inverse(identity)),
    inference(rw,[status(thm)],[eq_11,eq_2]) ).

cnf(eq_14,plain,
    A = double_divide(double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B))),inverse(identity)),
    eq_12 ).

cnf(eq_15,plain,
    inverse(inverse(A)) = multiply(identity,A),
    inference(cp,[status(thm)],[eq_2,eq_6]) ).

cnf(eq_16,plain,
    double_divide(identity,double_divide(double_divide(x101,inverse(A)),inverse(A))) = double_divide(double_divide(identity,double_divide(x101,inverse(identity))),inverse(identity)),
    inference(cp,[status(thm)],[eq_2,eq_9]) ).

cnf(eq_17,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)) = A,
    inference(cp,[status(thm)],[eq_3,eq_14]) ).

cnf(eq_18,plain,
    double_divide(double_divide(identity,double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(B,inverse(identity))),
    inference(cp,[status(thm)],[eq_9,eq_14]) ).

cnf(eq_19,plain,
    double_divide(double_divide(inverse(inverse(x101)),identity),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_13]) ).

cnf(eq_20,plain,
    A = double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)),
    eq_17 ).

cnf(eq_21,plain,
    double_divide(double_divide(identity,A),inverse(identity)) = double_divide(identity,double_divide(A,inverse(identity))),
    inference(rw,[status(thm)],[eq_18,eq_5]) ).

cnf(eq_22,plain,
    multiply(identity,A) = inverse(inverse(A)),
    eq_15 ).

cnf(eq_23,plain,
    A = double_divide(inverse(inverse(inverse(A))),inverse(identity)),
    inference(rw,[status(thm)],[eq_19,eq_2]) ).

cnf(eq_24,plain,
    A = double_divide(identity,double_divide(identity,double_divide(inverse(A),inverse(identity)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_21]),eq_21]) ).

cnf(eq_25,plain,
    double_divide(x100,double_divide(identity,double_divide(double_divide(identity,x100),inverse(identity)))) = double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),
    inference(cp,[status(thm)],[eq_21,eq_9]) ).

cnf(eq_26,plain,
    double_divide(inverse(identity),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(identity))),
    inference(cp,[status(thm)],[eq_2,eq_21]) ).

cnf(eq_27,plain,
    double_divide(double_divide(inverse(identity),A),inverse(identity)) = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_23,eq_13]) ).

cnf(eq_28,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_3]),eq_2]) ).

cnf(eq_29,plain,
    double_divide(A,double_divide(identity,double_divide(identity,double_divide(A,inverse(identity))))) = double_divide(inverse(identity),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_21]),eq_3]),eq_2]) ).

cnf(eq_30,plain,
    double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B))) = double_divide(identity,double_divide(double_divide(A,inverse(identity)),inverse(identity))),
    inference(rw,[status(thm)],[eq_16,eq_21]) ).

cnf(eq_31,plain,
    double_divide(identity,double_divide(identity,inverse(identity))) = identity,
    inference(cp,[status(thm)],[eq_28,eq_24]) ).

cnf(eq_32,plain,
    double_divide(identity,double_divide(identity,A)) = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_23,eq_24]) ).

cnf(eq_33,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_3]),eq_2]) ).

cnf(eq_34,plain,
    double_divide(identity,inverse(A)) = multiply(A,identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_33]),eq_2]),eq_6]),eq_33]),eq_2]) ).

cnf(eq_35,plain,
    A = inverse(inverse(inverse(inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_33]),eq_2]),eq_32]) ).

cnf(eq_36,plain,
    double_divide(A,inverse(inverse(inverse(A)))) = identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_33]),eq_2]),eq_32]),eq_33]),eq_33]),eq_2]),eq_33]) ).

cnf(eq_37,plain,
    multiply(A,identity) = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_33]),eq_33]),eq_2]),eq_6]) ).

cnf(eq_38,plain,
    A = multiply(double_divide(inverse(A),inverse(B)),inverse(B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_33]),eq_2]),eq_6]) ).

cnf(eq_39,plain,
    double_divide(identity,A) = multiply(inverse(inverse(inverse(A))),identity),
    inference(cp,[status(thm)],[eq_35,eq_34]) ).

cnf(eq_40,plain,
    double_divide(identity,A) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_37]),eq_35]) ).

cnf(eq_41,plain,
    multiply(identity,inverse(inverse(inverse(inverse(x100))))) = x100,
    inference(cp,[status(thm)],[eq_36,eq_38]) ).

cnf(eq_42,plain,
    multiply(double_divide(inverse(x100),A),inverse(inverse(inverse(inverse(A))))) = x100,
    inference(cp,[status(thm)],[eq_35,eq_38]) ).

cnf(eq_43,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_35]),eq_22]) ).

cnf(eq_44,plain,
    A = multiply(double_divide(inverse(A),B),B),
    inference(rw,[status(thm)],[eq_42,eq_35]) ).

cnf(eq_45,plain,
    multiply(inverse(A),double_divide(B,inverse(A))) = inverse(B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_40]),eq_6]),eq_33]),eq_33]),eq_2]),eq_2]),eq_43]),eq_40]) ).

cnf(eq_46,plain,
    multiply(double_divide(A,x101),x101) = inverse(A),
    inference(cp,[status(thm)],[eq_43,eq_44]) ).

cnf(eq_47,plain,
    inverse(multiply(A,B)) = double_divide(B,A),
    inference(cp,[status(thm)],[eq_6,eq_43]) ).

cnf(eq_48,plain,
    double_divide(A,B) = inverse(multiply(B,A)),
    eq_47 ).

cnf(eq_49,plain,
    multiply(double_divide(A,B),B) = inverse(A),
    eq_46 ).

cnf(eq_50,plain,
    multiply(inverse(multiply(B,A)),B) = inverse(A),
    inference(cp,[status(thm)],[eq_48,eq_49]) ).

cnf(eq_51,plain,
    multiply(inverse(inverse(A)),double_divide(x101,A)) = inverse(x101),
    inference(cp,[status(thm)],[eq_43,eq_45]) ).

cnf(eq_52,plain,
    multiply(A,double_divide(B,A)) = inverse(B),
    inference(rw,[status(thm)],[eq_51,eq_43]) ).

cnf(eq_53,plain,
    multiply(inverse(multiply(A,B)),A) = inverse(B),
    eq_50 ).

cnf(eq_54,plain,
    multiply(A,inverse(multiply(A,B))) = inverse(B),
    inference(rw,[status(thm)],[eq_52,eq_48]) ).

cnf(eq_55,plain,
    multiply(inverse(inverse(B)),inverse(multiply(A,B))) = inverse(A),
    inference(cp,[status(thm)],[eq_53,eq_53]) ).

cnf(eq_56,plain,
    multiply(A,inverse(multiply(B,A))) = inverse(B),
    inference(rw,[status(thm)],[eq_55,eq_43]) ).

cnf(eq_57,plain,
    inverse(multiply(A,inverse(multiply(B,A)))) = B,
    inference(cp,[status(thm)],[eq_56,eq_43]) ).

cnf(eq_58,plain,
    A = inverse(multiply(B,inverse(multiply(A,B)))),
    eq_57 ).

cnf(eq_59,negated_conjecture,
    multiply(A,inverse(multiply(A,double_divide(a,b)))) != inverse(double_divide(b,a)),
    inference(cp,[status(thm)],[eq_54,eq_10]) ).

cnf(eq_60,negated_conjecture,
    multiply(A,inverse(multiply(A,inverse(multiply(b,a))))) != multiply(a,b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_48]),eq_48]),eq_43]) ).

cnf(eq_61,plain,
    A = double_divide(double_divide(B,A),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_6]),eq_43]),eq_6]),eq_43]) ).

cnf(eq_62,negated_conjecture,
    inverse(double_divide(double_divide(double_divide(a,b),A),A)) != inverse(double_divide(b,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_6]),eq_43]),eq_6]),eq_43]),eq_6]),eq_6]) ).

cnf(eq_63,negated_conjecture,
    inverse(double_divide(b,a)) != inverse(double_divide(b,a)),
    inference(cp,[status(thm)],[eq_61,eq_62]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.10/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n015.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 04:22:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.54/0.74  % SZS status Unsatisfiable
% 0.54/0.74  % SZS output start CNFRefutation for /tmp/MaedMax_25258
% See solution above
% 0.54/0.74  
%------------------------------------------------------------------------------