%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n027.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 0.70s 0.91s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   82 (  82 unt;   0 nHn;  21 RR)
%            Number of literals    :   82 (  81 equ;   5 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    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   91 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(B,double_divide(double_divide(double_divide(identity,double_divide(double_divide(B,identity),double_divide(C,A))),C),identity)),
    file('/tmp/MaedMax_15293') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_15293') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_15293') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_15293') ).

cnf(eq_4,negated_conjecture,
    multiply(identity,a2) != a2,
    file('/tmp/MaedMax_15293') ).

cnf(eq_5,plain,
    A = double_divide(B,inverse(double_divide(double_divide(identity,double_divide(inverse(B),double_divide(C,A))),C))),
    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,negated_conjecture,
    double_divide(double_divide(a2,identity),identity) != a2,
    inference(rw,[status(thm)],[eq_4,eq_1]) ).

cnf(eq_8,plain,
    double_divide(x100,double_divide(double_divide(double_divide(identity,double_divide(double_divide(x100,identity),A)),B),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(B,identity),double_divide(C,A))),C),identity),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_9,plain,
    double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),C),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,identity),double_divide(x3,B))),x3),identity),
    eq_8 ).

cnf(eq_10,plain,
    double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),B)),C))) = inverse(double_divide(double_divide(identity,double_divide(inverse(C),double_divide(x3,B))),x3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]),eq_2]),eq_2]) ).

cnf(eq_11,negated_conjecture,
    inverse(inverse(a2)) != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_2]),eq_2]) ).

cnf(eq_12,plain,
    double_divide(x100,inverse(inverse(double_divide(identity,double_divide(inverse(x100),double_divide(identity,x102)))))) = x102,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_13,plain,
    double_divide(x100,inverse(double_divide(double_divide(identity,double_divide(inverse(x100),identity)),A))) = inverse(A),
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_14,plain,
    double_divide(x100,inverse(double_divide(double_divide(identity,double_divide(inverse(x100),inverse(A))),A))) = identity,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_15,plain,
    double_divide(A,inverse(double_divide(double_divide(identity,inverse(inverse(A))),B))) = inverse(B),
    inference(rw,[status(thm)],[eq_13,eq_2]) ).

cnf(eq_16,plain,
    identity = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),inverse(B))),B))),
    eq_14 ).

cnf(eq_17,plain,
    A = double_divide(B,inverse(inverse(double_divide(identity,double_divide(inverse(B),double_divide(identity,A)))))),
    eq_12 ).

cnf(eq_18,plain,
    identity = inverse(double_divide(double_divide(identity,double_divide(inverse(B),double_divide(x103,inverse(B)))),x103)),
    inference(cp,[status(thm)],[eq_16,eq_10]) ).

cnf(eq_19,plain,
    double_divide(x100,inverse(double_divide(double_divide(identity,identity),inverse(x100)))) = identity,
    inference(cp,[status(thm)],[eq_3,eq_16]) ).

cnf(eq_20,plain,
    double_divide(x100,inverse(identity)) = inverse(inverse(double_divide(identity,inverse(inverse(x100))))),
    inference(cp,[status(thm)],[eq_3,eq_15]) ).

cnf(eq_21,plain,
    double_divide(x100,inverse(inverse(double_divide(identity,double_divide(inverse(x100),identity))))) = inverse(identity),
    inference(cp,[status(thm)],[eq_3,eq_17]) ).

cnf(eq_22,plain,
    double_divide(A,inverse(inverse(double_divide(identity,inverse(inverse(A)))))) = inverse(identity),
    inference(rw,[status(thm)],[eq_21,eq_2]) ).

cnf(eq_23,plain,
    identity = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(A)))),B)),
    eq_18 ).

cnf(eq_24,plain,
    identity = double_divide(A,inverse(double_divide(inverse(identity),inverse(A)))),
    inference(rw,[status(thm)],[eq_19,eq_2]) ).

cnf(eq_25,plain,
    double_divide(A,inverse(identity)) = inverse(inverse(double_divide(identity,inverse(inverse(A))))),
    eq_20 ).

cnf(eq_26,plain,
    double_divide(A,inverse(identity)) = inverse(multiply(inverse(inverse(A)),identity)),
    inference(rw,[status(thm)],[eq_25,eq_6]) ).

cnf(eq_27,plain,
    identity = multiply(A,double_divide(identity,double_divide(inverse(B),double_divide(A,inverse(B))))),
    inference(rw,[status(thm)],[eq_23,eq_6]) ).

cnf(eq_28,plain,
    double_divide(A,inverse(multiply(inverse(inverse(A)),identity))) = inverse(identity),
    inference(rw,[status(thm)],[eq_22,eq_6]) ).

cnf(eq_29,plain,
    identity = double_divide(A,multiply(inverse(A),inverse(identity))),
    inference(rw,[status(thm)],[eq_24,eq_6]) ).

cnf(eq_30,plain,
    A = double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,A)),identity))),
    inference(rw,[status(thm)],[eq_17,eq_6]) ).

cnf(eq_31,plain,
    double_divide(A,multiply(B,double_divide(identity,inverse(inverse(A))))) = inverse(B),
    inference(rw,[status(thm)],[eq_15,eq_6]) ).

cnf(eq_32,plain,
    double_divide(double_divide(B,A),multiply(A,B)) = identity,
    inference(cp,[status(thm)],[eq_6,eq_3]) ).

cnf(eq_33,plain,
    inverse(identity) = multiply(inverse(A),A),
    inference(cp,[status(thm)],[eq_3,eq_6]) ).

cnf(eq_34,plain,
    multiply(inverse(A),A) = inverse(identity),
    eq_33 ).

cnf(eq_35,plain,
    identity = double_divide(double_divide(A,B),multiply(B,A)),
    eq_32 ).

cnf(eq_36,plain,
    double_divide(identity,identity) = multiply(multiply(B,A),double_divide(A,B)),
    inference(cp,[status(thm)],[eq_35,eq_1]) ).

cnf(eq_37,plain,
    double_divide(identity,multiply(multiply(B,A),double_divide(A,B))) = identity,
    inference(cp,[status(thm)],[eq_35,eq_35]) ).

cnf(eq_38,plain,
    identity = double_divide(identity,multiply(multiply(A,B),double_divide(B,A))),
    eq_37 ).

cnf(eq_39,plain,
    double_divide(identity,identity) = multiply(multiply(A,B),double_divide(B,A)),
    eq_36 ).

cnf(eq_40,plain,
    multiply(multiply(A,B),double_divide(B,A)) = inverse(identity),
    inference(rw,[status(thm)],[eq_39,eq_2]) ).

cnf(eq_41,plain,
    double_divide(inverse(identity),inverse(identity)) = identity,
    inference(cp,[status(thm)],[eq_34,eq_29]) ).

cnf(eq_42,plain,
    multiply(A,double_divide(identity,double_divide(inverse(A),identity))) = identity,
    inference(cp,[status(thm)],[eq_3,eq_27]) ).

cnf(eq_43,plain,
    inverse(inverse(B)) = multiply(multiply(B,double_divide(identity,inverse(inverse(A)))),A),
    inference(cp,[status(thm)],[eq_31,eq_6]) ).

cnf(eq_44,plain,
    multiply(multiply(A,double_divide(identity,inverse(inverse(B)))),B) = inverse(inverse(A)),
    eq_43 ).

cnf(eq_45,plain,
    identity = inverse(multiply(inverse(inverse(inverse(identity))),identity)),
    inference(rw,[status(thm)],[eq_41,eq_26]) ).

cnf(eq_46,plain,
    identity = multiply(A,double_divide(identity,inverse(inverse(A)))),
    inference(rw,[status(thm)],[eq_42,eq_2]) ).

cnf(eq_47,plain,
    double_divide(inverse(identity),identity) = inverse(identity),
    inference(cp,[status(thm)],[eq_45,eq_28]) ).

cnf(eq_48,plain,
    multiply(double_divide(B,A),double_divide(identity,inverse(multiply(A,B)))) = identity,
    inference(cp,[status(thm)],[eq_6,eq_46]) ).

cnf(eq_49,plain,
    inverse(identity) = inverse(inverse(identity)),
    inference(rw,[status(thm)],[eq_47,eq_2]) ).

cnf(eq_50,plain,
    identity = multiply(double_divide(A,B),double_divide(identity,inverse(multiply(B,A)))),
    eq_48 ).

cnf(eq_51,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_40]),eq_26]),eq_49]),eq_34]),eq_49]) ).

cnf(eq_52,plain,
    double_divide(identity,multiply(x101,double_divide(identity,inverse(identity)))) = inverse(x101),
    inference(cp,[status(thm)],[eq_49,eq_31]) ).

cnf(eq_53,plain,
    double_divide(identity,multiply(A,inverse(identity))) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_26]),eq_49]),eq_34]),eq_49]) ).

cnf(eq_54,plain,
    double_divide(x100,identity) = inverse(multiply(inverse(inverse(x100)),identity)),
    inference(cp,[status(thm)],[eq_51,eq_26]) ).

cnf(eq_55,plain,
    double_divide(identity,multiply(x100,identity)) = inverse(x100),
    inference(cp,[status(thm)],[eq_51,eq_53]) ).

cnf(eq_56,plain,
    multiply(multiply(x100,double_divide(identity,inverse(identity))),identity) = inverse(inverse(x100)),
    inference(cp,[status(thm)],[eq_49,eq_44]) ).

cnf(eq_57,plain,
    inverse(A) = inverse(multiply(inverse(inverse(A)),identity)),
    inference(rw,[status(thm)],[eq_54,eq_2]) ).

cnf(eq_58,plain,
    double_divide(identity,multiply(A,identity)) = inverse(A),
    eq_55 ).

cnf(eq_59,plain,
    multiply(multiply(A,inverse(identity)),identity) = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_26]),eq_49]),eq_34]),eq_49]) ).

cnf(eq_60,plain,
    multiply(multiply(A,identity),identity) = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_59,eq_51]) ).

cnf(eq_61,plain,
    double_divide(identity,inverse(inverse(A))) = inverse(multiply(A,double_divide(identity,inverse(inverse(identity))))),
    inference(cp,[status(thm)],[eq_44,eq_58]) ).

cnf(eq_62,plain,
    double_divide(identity,inverse(inverse(A))) = inverse(multiply(A,identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_51]),eq_51]),eq_2]),eq_51]) ).

cnf(eq_63,plain,
    multiply(A,inverse(multiply(A,identity))) = identity,
    inference(cp,[status(thm)],[eq_62,eq_46]) ).

cnf(eq_64,plain,
    inverse(A) = inverse(inverse(inverse(multiply(A,identity)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_51]),eq_2]),eq_62]) ).

cnf(eq_65,plain,
    multiply(double_divide(inverse(multiply(A,identity)),A),double_divide(identity,inverse(identity))) = identity,
    inference(cp,[status(thm)],[eq_63,eq_50]) ).

cnf(eq_66,plain,
    identity = multiply(double_divide(inverse(multiply(A,identity)),A),identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_51]),eq_2]),eq_51]) ).

cnf(eq_67,plain,
    double_divide(multiply(double_divide(identity,x101),identity),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_66,eq_30]) ).

cnf(eq_68,plain,
    inverse(multiply(inverse(inverse(inverse(multiply(inverse(x100),identity)))),identity)) = inverse(x100),
    inference(cp,[status(thm)],[eq_64,eq_57]) ).

cnf(eq_69,plain,
    inverse(A) = inverse(inverse(multiply(inverse(A),identity))),
    inference(rw,[status(thm)],[eq_68,eq_57]) ).

cnf(eq_70,plain,
    A = inverse(multiply(double_divide(identity,A),identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_51]),eq_2]) ).

cnf(eq_71,plain,
    inverse(inverse(multiply(A,identity))) = inverse(multiply(double_divide(identity,A),identity)),
    inference(cp,[status(thm)],[eq_70,eq_69]) ).

cnf(eq_72,plain,
    inverse(inverse(A)) = inverse(double_divide(identity,A)),
    inference(cp,[status(thm)],[eq_70,eq_64]) ).

cnf(eq_73,plain,
    A = inverse(inverse(multiply(A,identity))),
    inference(rw,[status(thm)],[eq_71,eq_70]) ).

cnf(eq_74,plain,
    multiply(A,identity) = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_72,eq_6]) ).

cnf(eq_75,plain,
    A = multiply(multiply(A,identity),identity),
    inference(cp,[status(thm)],[eq_73,eq_74]) ).

cnf(eq_76,plain,
    inverse(A) = double_divide(identity,A),
    inference(cp,[status(thm)],[eq_70,eq_73]) ).

cnf(eq_77,plain,
    double_divide(identity,A) = inverse(A),
    eq_76 ).

cnf(eq_78,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_75,eq_60]) ).

cnf(eq_79,negated_conjecture,
    multiply(a2,identity) != a2,
    inference(cp,[status(thm)],[eq_74,eq_11]) ).

cnf(eq_80,negated_conjecture,
    a2 != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_6]),eq_77]),eq_78]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_80]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n027.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 04:23:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/0.91  % SZS status Unsatisfiable
% 0.70/0.91  % SZS output start CNFRefutation for /tmp/MaedMax_15293
% See solution above
% 0.70/0.91  
%------------------------------------------------------------------------------