%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n016.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 1.07s 1.25s
% Output   : CNFRefutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   96 (  96 unt;   0 nHn;  29 RR)
%            Number of literals    :   96 (  95 equ;  10 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  114 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(double_divide(double_divide(B,C),identity),double_divide(A,C)))),
    file('/tmp/MaedMax_13365') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_13365') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_13365') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_13365') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_13365') ).

cnf(eq_5,plain,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(inverse(double_divide(B,C)),double_divide(A,C)))),
    inference(rw,[status(thm)],[eq_0,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(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_1]),eq_1]),eq_1]),eq_1]) ).

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

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

cnf(eq_10,negated_conjecture,
    inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_2]),eq_2]),eq_2]),eq_2]) ).

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

cnf(eq_12,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(identity),double_divide(x102,inverse(A))))) = x102,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

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

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

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

cnf(eq_16,plain,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(inverse(inverse(B)),inverse(A)))),
    inference(rw,[status(thm)],[eq_14,eq_2]) ).

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

cnf(eq_18,plain,
    A = double_divide(identity,double_divide(identity,double_divide(inverse(double_divide(inverse(identity),B)),double_divide(A,B)))),
    eq_11 ).

cnf(eq_19,plain,
    double_divide(double_divide(B,A),multiply(A,B)) = identity,
    inference(cp,[status(thm)],[eq_6,eq_3]) ).

cnf(eq_20,plain,
    inverse(inverse(A)) = multiply(identity,A),
    inference(cp,[status(thm)],[eq_2,eq_6]) ).

cnf(eq_21,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),double_divide(x101,inverse(identity))))) = x101,
    inference(cp,[status(thm)],[eq_2,eq_17]) ).

cnf(eq_22,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(identity),identity))) = A,
    inference(cp,[status(thm)],[eq_3,eq_17]) ).

cnf(eq_23,plain,
    double_divide(identity,double_divide(identity,double_divide(inverse(inverse(inverse(identity))),inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_3,eq_16]) ).

cnf(eq_24,plain,
    double_divide(double_divide(identity,x100),double_divide(identity,identity)) = inverse(inverse(x100)),
    inference(cp,[status(thm)],[eq_3,eq_16]) ).

cnf(eq_25,plain,
    double_divide(double_divide(identity,A),inverse(identity)) = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_24,eq_2]) ).

cnf(eq_26,plain,
    A = double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),double_divide(A,inverse(identity))))),
    eq_21 ).

cnf(eq_27,plain,
    identity = double_divide(double_divide(A,B),multiply(B,A)),
    eq_19 ).

cnf(eq_28,plain,
    A = double_divide(identity,double_divide(identity,double_divide(inverse(inverse(inverse(identity))),inverse(A)))),
    eq_23 ).

cnf(eq_29,plain,
    A = double_divide(double_divide(identity,A),double_divide(identity,inverse(inverse(identity)))),
    inference(rw,[status(thm)],[eq_22,eq_2]) ).

cnf(eq_30,plain,
    double_divide(inverse(A),multiply(identity,A)) = identity,
    inference(cp,[status(thm)],[eq_2,eq_27]) ).

cnf(eq_31,plain,
    double_divide(identity,inverse(identity)) = inverse(inverse(inverse(identity))),
    inference(cp,[status(thm)],[eq_3,eq_25]) ).

cnf(eq_32,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(inverse(identity)),
    inference(cp,[status(thm)],[eq_2,eq_25]) ).

cnf(eq_33,plain,
    inverse(inverse(inverse(A))) = multiply(inverse(identity),double_divide(identity,A)),
    inference(cp,[status(thm)],[eq_25,eq_6]) ).

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

cnf(eq_35,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(rw,[status(thm)],[eq_31,eq_3]) ).

cnf(eq_36,plain,
    multiply(inverse(identity),double_divide(identity,A)) = inverse(multiply(identity,A)),
    inference(rw,[status(thm)],[eq_34,eq_20]) ).

cnf(eq_37,plain,
    identity = inverse(multiply(identity,identity)),
    inference(rw,[status(thm)],[eq_35,eq_20]) ).

cnf(eq_38,plain,
    double_divide(inverse(identity),inverse(identity)) = multiply(identity,identity),
    inference(rw,[status(thm)],[eq_32,eq_20]) ).

cnf(eq_39,plain,
    inverse(multiply(identity,A)) = multiply(identity,inverse(A)),
    inference(cp,[status(thm)],[eq_20,eq_20]) ).

cnf(eq_40,plain,
    inverse(multiply(A,B)) = multiply(identity,double_divide(B,A)),
    inference(cp,[status(thm)],[eq_6,eq_20]) ).

cnf(eq_41,plain,
    multiply(identity,double_divide(A,B)) = inverse(multiply(B,A)),
    eq_40 ).

cnf(eq_42,plain,
    multiply(identity,inverse(A)) = inverse(multiply(identity,A)),
    eq_39 ).

cnf(eq_43,plain,
    A = double_divide(identity,double_divide(identity,double_divide(identity,inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_20]),eq_37]) ).

cnf(eq_44,plain,
    double_divide(identity,multiply(identity,multiply(identity,identity))) = identity,
    inference(cp,[status(thm)],[eq_37,eq_30]) ).

cnf(eq_45,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),multiply(identity,identity)))) = inverse(identity),
    inference(cp,[status(thm)],[eq_38,eq_26]) ).

cnf(eq_46,plain,
    multiply(identity,identity) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_30]),eq_2]),eq_38]) ).

cnf(eq_47,plain,
    double_divide(identity,multiply(identity,inverse(identity))) = identity,
    inference(cp,[status(thm)],[eq_46,eq_44]) ).

cnf(eq_48,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_42]),eq_37]),eq_2]) ).

cnf(eq_49,plain,
    A = multiply(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)],[eq_29,eq_48]),eq_48]),eq_2]),eq_48]),eq_2]),eq_6]) ).

cnf(eq_50,plain,
    multiply(A,identity) = multiply(identity,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_48]),eq_2]),eq_6]),eq_20]) ).

cnf(eq_51,plain,
    A = double_divide(identity,double_divide(identity,double_divide(multiply(B,identity),double_divide(A,B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_48]),eq_6]) ).

cnf(eq_52,plain,
    double_divide(identity,identity) = identity,
    inference(cp,[status(thm)],[eq_48,eq_3]) ).

cnf(eq_53,plain,
    multiply(identity,A) = A,
    inference(cp,[status(thm)],[eq_50,eq_49]) ).

cnf(eq_54,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_48]),eq_2]),eq_6]),eq_49]) ).

cnf(eq_55,plain,
    double_divide(A,B) = inverse(multiply(B,A)),
    inference(rw,[status(thm)],[eq_41,eq_53]) ).

cnf(eq_56,plain,
    double_divide(identity,A) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_48]),eq_53]),eq_53]) ).

cnf(eq_57,plain,
    double_divide(A,double_divide(identity,double_divide(inverse(inverse(double_divide(identity,double_divide(identity,inverse(A))))),inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_43,eq_16]) ).

cnf(eq_58,plain,
    A = double_divide(B,double_divide(identity,double_divide(inverse(B),inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_6]),eq_49]),eq_6]),eq_49]) ).

cnf(eq_59,plain,
    double_divide(identity,inverse(double_divide(identity,inverse(x100)))) = x100,
    inference(cp,[status(thm)],[eq_56,eq_43]) ).

cnf(eq_60,plain,
    A = inverse(multiply(inverse(multiply(B,A)),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_48]),eq_55]),eq_55]),eq_49]),eq_54]),eq_55]),eq_55]),eq_49]),eq_54]),eq_55]),eq_49]) ).

cnf(eq_61,plain,
    A = inverse(multiply(multiply(inverse(A),inverse(B)),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_55]),eq_55]),eq_49]),eq_54]),eq_55]) ).

cnf(eq_62,plain,
    inverse(multiply(A,inverse(multiply(B,A)))) = B,
    inference(cp,[status(thm)],[eq_60,eq_60]) ).

cnf(eq_63,plain,
    A = inverse(multiply(B,inverse(multiply(A,B)))),
    eq_62 ).

cnf(eq_64,plain,
    inverse(multiply(B,A)) = multiply(inverse(A),inverse(B)),
    inference(cp,[status(thm)],[eq_61,eq_63]) ).

cnf(eq_65,plain,
    A = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,B),identity),double_divide(A,B)))),
    inference(rw,[status(thm)],[eq_51,eq_1]) ).

cnf(eq_66,plain,
    double_divide(double_divide(identity,x100),double_divide(identity,double_divide(double_divide(double_divide(x100,double_divide(identity,double_divide(double_divide(identity,identity),double_divide(x103,identity)))),identity),x103))) = double_divide(identity,identity),
    inference(cp,[status(thm)],[eq_52,eq_9]) ).

cnf(eq_67,plain,
    identity = double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(identity,double_divide(identity,double_divide(B,identity)))),identity),B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_52]),eq_52]) ).

cnf(eq_68,plain,
    A = double_divide(identity,double_divide(identity,double_divide(inverse(double_divide(identity,B)),double_divide(A,B)))),
    inference(rw,[status(thm)],[eq_65,eq_2]) ).

cnf(eq_69,plain,
    A = double_divide(identity,inverse(double_divide(identity,inverse(A)))),
    eq_59 ).

cnf(eq_70,plain,
    A = inverse(inverse(inverse(inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_56]),eq_56]) ).

cnf(eq_71,plain,
    A = double_divide(inverse(B),inverse(double_divide(inverse(double_divide(B,C)),double_divide(A,C)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_56]),eq_56]) ).

cnf(eq_72,plain,
    A = double_divide(inverse(B),inverse(inverse(inverse(double_divide(B,inverse(A)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_56]),eq_56]) ).

cnf(eq_73,plain,
    double_divide(inverse(x100),inverse(double_divide(x100,inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_54,eq_72]) ).

cnf(eq_74,plain,
    inverse(A) = inverse(inverse(inverse(A))),
    inference(cp,[status(thm)],[eq_70,eq_54]) ).

cnf(eq_75,plain,
    A = double_divide(inverse(B),inverse(double_divide(B,inverse(A)))),
    eq_73 ).

cnf(eq_76,plain,
    A = double_divide(B,double_divide(A,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_68,eq_56]),eq_54]),eq_56]),eq_56]),eq_54]) ).

cnf(eq_77,plain,
    identity = double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,inverse(B))),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)],[eq_67,eq_56]),eq_2]),eq_56]),eq_54]),eq_56]),eq_2]),eq_56]) ).

cnf(eq_78,plain,
    double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),B)),identity) = inverse(A),
    inference(cp,[status(thm)],[eq_77,eq_76]) ).

cnf(eq_79,plain,
    double_divide(double_divide(A,B),A) = B,
    inference(cp,[status(thm)],[eq_76,eq_76]) ).

cnf(eq_80,plain,
    double_divide(inverse(inverse(B)),inverse(A)) = double_divide(inverse(double_divide(B,C)),double_divide(A,C)),
    inference(cp,[status(thm)],[eq_71,eq_75]) ).

cnf(eq_81,plain,
    double_divide(inverse(double_divide(A,inverse(B))),B) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_2]),eq_54]) ).

cnf(eq_82,plain,
    A = double_divide(double_divide(B,A),B),
    eq_79 ).

cnf(eq_83,plain,
    double_divide(A,inverse(B)) = double_divide(inverse(double_divide(A,C)),double_divide(B,C)),
    inference(rw,[status(thm)],[eq_80,eq_54]) ).

cnf(eq_84,plain,
    double_divide(inverse(A),double_divide(x102,B)) = double_divide(double_divide(B,A),inverse(x102)),
    inference(cp,[status(thm)],[eq_82,eq_83]) ).

cnf(eq_85,plain,
    double_divide(inverse(A),x101) = inverse(double_divide(inverse(x101),A)),
    inference(cp,[status(thm)],[eq_82,eq_81]) ).

cnf(eq_86,plain,
    double_divide(inverse(A),B) = inverse(double_divide(inverse(B),A)),
    eq_85 ).

cnf(eq_87,plain,
    double_divide(double_divide(A,B),inverse(C)) = double_divide(inverse(B),double_divide(C,A)),
    eq_84 ).

cnf(eq_88,negated_conjecture,
    double_divide(inverse(a3),double_divide(c3,b3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
    inference(cp,[status(thm)],[eq_86,eq_10]) ).

cnf(eq_89,negated_conjecture,
    double_divide(inverse(a3),double_divide(c3,b3)) != multiply(multiply(a3,b3),c3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_6]),eq_6]) ).

cnf(eq_90,negated_conjecture,
    double_divide(double_divide(b3,a3),inverse(c3)) != multiply(multiply(a3,b3),c3),
    inference(cp,[status(thm)],[eq_87,eq_89]) ).

cnf(eq_91,negated_conjecture,
    double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_90,eq_56]),eq_1]),eq_1]) ).

cnf(eq_92,negated_conjecture,
    inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))) != inverse(inverse(multiply(inverse(inverse(multiply(a3,b3))),c3))),
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_55]),eq_55]),eq_49]),eq_55]),eq_55]),eq_55]),eq_53]),eq_55]),eq_55]),eq_53]) ).

cnf(eq_93,negated_conjecture,
    inverse(multiply(inverse(c3),inverse(inverse(inverse(multiply(a3,b3)))))) != inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))),
    inference(cp,[status(thm)],[eq_64,eq_92]) ).

cnf(eq_94,negated_conjecture,
    inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))) != inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))),
    inference(rw,[status(thm)],[eq_93,eq_74]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 04:41:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.07/1.25  % SZS status Unsatisfiable
% 1.07/1.25  % SZS output start CNFRefutation for /tmp/MaedMax_13365
% See solution above
% 1.07/1.25  
%------------------------------------------------------------------------------