%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n020.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 2.05s 2.23s
% Output   : CNFRefutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   97 (  97 unt;   0 nHn;  16 RR)
%            Number of literals    :   97 (  96 equ;   8 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   14 (   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   :  155 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),double_divide(identity,identity)),
    file('/tmp/MaedMax_13622') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_13622') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_13622') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_13622') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_13622') ).

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

cnf(eq_8,plain,
    double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B))))),double_divide(x102,A))),double_divide(identity,identity)) = x102,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

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

cnf(eq_10,plain,
    double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),C)),double_divide(identity,identity)),
    eq_7 ).

cnf(eq_11,plain,
    double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(inverse(identity),C)),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_2]),eq_2]) ).

cnf(eq_12,plain,
    double_divide(double_divide(x100,double_divide(identity,double_divide(x102,double_divide(inverse(identity),x100)))),inverse(identity)) = x102,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_13,plain,
    double_divide(double_divide(inverse(A),double_divide(double_divide(identity,A),double_divide(x102,identity))),inverse(identity)) = x102,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_14,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,A),double_divide(x102,inverse(A)))),inverse(identity)) = x102,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

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

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

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

cnf(eq_18,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),inverse(identity)) = A,
    inference(cp,[status(thm)],[eq_3,eq_16]) ).

cnf(eq_19,plain,
    double_divide(double_divide(inverse(x100),identity),inverse(identity)) = double_divide(identity,x100),
    inference(cp,[status(thm)],[eq_3,eq_15]) ).

cnf(eq_20,plain,
    A = double_divide(double_divide(identity,inverse(double_divide(identity,A))),inverse(identity)),
    inference(rw,[status(thm)],[eq_18,eq_2]) ).

cnf(eq_21,plain,
    double_divide(identity,A) = double_divide(inverse(inverse(A)),inverse(identity)),
    inference(rw,[status(thm)],[eq_19,eq_2]) ).

cnf(eq_22,plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
    inference(cp,[status(thm)],[eq_3,eq_20]) ).

cnf(eq_23,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_3]),eq_3]) ).

cnf(eq_24,plain,
    double_divide(inverse(inverse(x100)),identity) = double_divide(identity,x100),
    inference(cp,[status(thm)],[eq_23,eq_21]) ).

cnf(eq_25,plain,
    inverse(identity) = multiply(inverse(A),A),
    inference(cp,[status(thm)],[eq_3,eq_6]) ).

cnf(eq_26,plain,
    inverse(inverse(A)) = multiply(identity,A),
    inference(cp,[status(thm)],[eq_2,eq_6]) ).

cnf(eq_27,plain,
    multiply(identity,A) = inverse(inverse(A)),
    eq_26 ).

cnf(eq_28,plain,
    double_divide(identity,A) = inverse(inverse(inverse(A))),
    inference(rw,[status(thm)],[eq_24,eq_2]) ).

cnf(eq_29,plain,
    multiply(inverse(A),A) = inverse(identity),
    eq_25 ).

cnf(eq_30,plain,
    A = inverse(inverse(inverse(inverse(double_divide(inverse(inverse(inverse(B))),double_divide(A,inverse(B))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_28]),eq_23]),eq_28]),eq_2]) ).

cnf(eq_31,plain,
    A = inverse(double_divide(inverse(B),double_divide(inverse(inverse(inverse(B))),inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_28]),eq_23]),eq_2]) ).

cnf(eq_32,plain,
    A = inverse(double_divide(B,double_divide(inverse(inverse(inverse(C))),double_divide(A,double_divide(C,B))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_28]),eq_23]),eq_2]) ).

cnf(eq_33,plain,
    A = inverse(inverse(inverse(inverse(double_divide(inverse(inverse(inverse(double_divide(B,double_divide(inverse(inverse(inverse(C))),double_divide(x3,double_divide(C,B))))))),double_divide(A,x3)))))),
    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)],[inference(rw,[status(thm)],[eq_9,eq_28]),eq_28]),eq_28]),eq_23]),eq_28]),eq_23]),eq_23]),eq_23]),eq_23]),eq_23]),eq_28]),eq_2]) ).

cnf(eq_34,plain,
    inverse(inverse(inverse(A))) = inverse(inverse(inverse(inverse(inverse(A))))),
    inference(cp,[status(thm)],[eq_31,eq_30]) ).

cnf(eq_35,plain,
    inverse(inverse(inverse(inverse(double_divide(inverse(inverse(A)),double_divide(x103,A)))))) = x103,
    inference(cp,[status(thm)],[eq_32,eq_33]) ).

cnf(eq_36,plain,
    A = inverse(inverse(inverse(inverse(double_divide(inverse(inverse(B)),double_divide(A,B)))))),
    eq_35 ).

cnf(eq_37,plain,
    inverse(double_divide(inverse(inverse(inverse(inverse(double_divide(inverse(inverse(B)),double_divide(A,B)))))),double_divide(inverse(inverse(A)),inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_36,eq_31]) ).

cnf(eq_38,plain,
    inverse(inverse(A)) = inverse(inverse(inverse(inverse(double_divide(inverse(inverse(B)),double_divide(A,B)))))),
    inference(cp,[status(thm)],[eq_36,eq_34]) ).

cnf(eq_39,plain,
    A = inverse(double_divide(B,double_divide(inverse(inverse(B)),inverse(A)))),
    inference(rw,[status(thm)],[eq_37,eq_36]) ).

cnf(eq_40,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_38,eq_36]) ).

cnf(eq_41,plain,
    inverse(double_divide(A,double_divide(A,inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_40,eq_39]) ).

cnf(eq_42,plain,
    A = inverse(double_divide(B,double_divide(B,inverse(A)))),
    eq_41 ).

cnf(eq_43,plain,
    double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = inverse(double_divide(identity,double_divide(identity,C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_23]),eq_23]),eq_2]) ).

cnf(eq_44,plain,
    A = double_divide(B,double_divide(A,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_40]),eq_40]),eq_40]) ).

cnf(eq_45,plain,
    double_divide(identity,A) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_40]),eq_23]),eq_2]) ).

cnf(eq_46,plain,
    inverse(double_divide(x100,double_divide(x100,A))) = inverse(A),
    inference(cp,[status(thm)],[eq_40,eq_42]) ).

cnf(eq_47,plain,
    inverse(A) = double_divide(B,double_divide(B,inverse(A))),
    inference(cp,[status(thm)],[eq_42,eq_40]) ).

cnf(eq_48,plain,
    inverse(A) = inverse(double_divide(B,double_divide(B,A))),
    eq_46 ).

cnf(eq_49,plain,
    double_divide(A,double_divide(A,inverse(B))) = inverse(B),
    eq_47 ).

cnf(eq_50,plain,
    double_divide(x100,double_divide(x100,A)) = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_40,eq_49]) ).

cnf(eq_51,plain,
    double_divide(double_divide(A,B),A) = B,
    inference(cp,[status(thm)],[eq_44,eq_44]) ).

cnf(eq_52,plain,
    inverse(double_divide(B,A)) = inverse(double_divide(A,B)),
    inference(cp,[status(thm)],[eq_44,eq_48]) ).

cnf(eq_53,plain,
    A = double_divide(B,double_divide(B,A)),
    inference(rw,[status(thm)],[eq_50,eq_40]) ).

cnf(eq_54,plain,
    A = double_divide(double_divide(B,A),B),
    eq_51 ).

cnf(eq_55,plain,
    inverse(double_divide(A,B)) = inverse(double_divide(B,A)),
    eq_52 ).

cnf(eq_56,plain,
    A = multiply(multiply(inverse(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)],[eq_17,eq_23]),eq_23]),eq_45]),eq_45]),eq_6]),eq_2]),eq_6]) ).

cnf(eq_57,plain,
    multiply(A,B) = multiply(B,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_6]),eq_6]) ).

cnf(eq_58,plain,
    A = multiply(identity,A),
    inference(rw,[status(thm)],[eq_27,eq_40]) ).

cnf(eq_59,plain,
    identity = multiply(inverse(A),A),
    inference(rw,[status(thm)],[eq_29,eq_23]) ).

cnf(eq_60,plain,
    A = inverse(double_divide(identity,A)),
    inference(cp,[status(thm)],[eq_54,eq_2]) ).

cnf(eq_61,plain,
    double_divide(A,B) = double_divide(B,A),
    inference(cp,[status(thm)],[eq_53,eq_54]) ).

cnf(eq_62,plain,
    inverse(A) = multiply(B,double_divide(B,A)),
    inference(cp,[status(thm)],[eq_54,eq_6]) ).

cnf(eq_63,plain,
    inverse(multiply(A,B)) = double_divide(B,A),
    inference(cp,[status(thm)],[eq_6,eq_40]) ).

cnf(eq_64,plain,
    multiply(A,double_divide(A,B)) = inverse(B),
    eq_62 ).

cnf(eq_65,plain,
    double_divide(A,B) = inverse(multiply(B,A)),
    eq_63 ).

cnf(eq_66,negated_conjecture,
    multiply(multiply(b3,c3),a3) != multiply(multiply(a3,b3),c3),
    inference(cp,[status(thm)],[eq_57,eq_4]) ).

cnf(eq_67,plain,
    inverse(multiply(A,B)) = inverse(multiply(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_65]),eq_65]) ).

cnf(eq_68,plain,
    multiply(A,inverse(multiply(B,A))) = inverse(B),
    inference(rw,[status(thm)],[eq_64,eq_65]) ).

cnf(eq_69,plain,
    multiply(multiply(A,inverse(x100)),x100) = A,
    inference(cp,[status(thm)],[eq_57,eq_56]) ).

cnf(eq_70,plain,
    multiply(multiply(A,x101),inverse(A)) = x101,
    inference(cp,[status(thm)],[eq_40,eq_56]) ).

cnf(eq_71,plain,
    A = multiply(multiply(B,A),inverse(B)),
    eq_70 ).

cnf(eq_72,plain,
    A = multiply(multiply(A,inverse(B)),B),
    eq_69 ).

cnf(eq_73,negated_conjecture,
    multiply(multiply(c3,b3),a3) != multiply(multiply(a3,b3),c3),
    inference(cp,[status(thm)],[eq_57,eq_66]) ).

cnf(eq_74,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(multiply(c3,b3),a3),
    eq_73 ).

cnf(eq_75,plain,
    multiply(inverse(multiply(B,A)),multiply(A,B)) = identity,
    inference(cp,[status(thm)],[eq_67,eq_59]) ).

cnf(eq_76,plain,
    multiply(inverse(B),inverse(A)) = inverse(multiply(B,A)),
    inference(cp,[status(thm)],[eq_71,eq_68]) ).

cnf(eq_77,plain,
    multiply(inverse(A),inverse(B)) = inverse(multiply(A,B)),
    eq_76 ).

cnf(eq_78,plain,
    identity = multiply(inverse(multiply(A,B)),multiply(B,A)),
    eq_75 ).

cnf(eq_79,negated_conjecture,
    double_divide(double_divide(a3,double_divide(double_divide(b3,c3),identity)),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_74,eq_1]),eq_1]),eq_1]),eq_1]) ).

cnf(eq_80,plain,
    double_divide(double_divide(identity,A),A) = identity,
    inference(cp,[status(thm)],[eq_60,eq_3]) ).

cnf(eq_81,plain,
    double_divide(x100,double_divide(double_divide(identity,x101),identity)) = inverse(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(x101,x100))))),
    inference(cp,[status(thm)],[eq_80,eq_43]) ).

cnf(eq_82,plain,
    double_divide(A,B) = double_divide(identity,double_divide(identity,double_divide(B,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_81,eq_2]),eq_60]),eq_60]) ).

cnf(eq_83,plain,
    A = multiply(double_divide(double_divide(identity,B),double_divide(A,double_divide(B,C))),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_23]),eq_2]),eq_6]) ).

cnf(eq_84,plain,
    double_divide(A,B) = inverse(multiply(A,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_82,eq_45]),eq_6]),eq_45]) ).

cnf(eq_85,plain,
    double_divide(A,B) = multiply(inverse(A),inverse(B)),
    inference(rw,[status(thm)],[eq_84,eq_77]) ).

cnf(eq_86,plain,
    multiply(double_divide(double_divide(x101,double_divide(x100,x102)),double_divide(identity,x100)),x102) = x101,
    inference(cp,[status(thm)],[eq_61,eq_83]) ).

cnf(eq_87,plain,
    A = multiply(double_divide(double_divide(A,double_divide(B,C)),double_divide(identity,B)),C),
    eq_86 ).

cnf(eq_88,negated_conjecture,
    double_divide(double_divide(a3,double_divide(double_divide(b3,c3),multiply(inverse(multiply(A,B)),multiply(B,A)))),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
    inference(cp,[status(thm)],[eq_78,eq_79]) ).

cnf(eq_89,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(inverse(multiply(multiply(inverse(multiply(A,B)),multiply(B,A)),inverse(multiply(c3,b3)))),a3),
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_65]),eq_65]),eq_65]),eq_65]),eq_58]),eq_40]),eq_65]),eq_65]),eq_58]),eq_40]),eq_65]),eq_65]),eq_58]),eq_40]) ).

cnf(eq_90,plain,
    A = multiply(multiply(multiply(A,multiply(inverse(B),inverse(C))),B),C),
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_85]),eq_85]),eq_85]),eq_23]),eq_77]),eq_58]),eq_40]),eq_40]),eq_85]),eq_77]),eq_40]),eq_40]),eq_77]) ).

cnf(eq_91,plain,
    multiply(multiply(A,x101),x102) = multiply(A,inverse(multiply(inverse(x101),inverse(x102)))),
    inference(cp,[status(thm)],[eq_72,eq_90]) ).

cnf(eq_92,plain,
    multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_77]),eq_40]),eq_40]) ).

cnf(eq_93,plain,
    multiply(multiply(A,B),x102) = multiply(B,multiply(A,x102)),
    inference(cp,[status(thm)],[eq_57,eq_92]) ).

cnf(eq_94,plain,
    multiply(A,multiply(B,C)) = multiply(B,multiply(A,C)),
    inference(rw,[status(thm)],[eq_93,eq_92]) ).

cnf(eq_95,negated_conjecture,
    multiply(c3,multiply(b3,a3)) != multiply(c3,multiply(b3,a3)),
    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_89,eq_57]),eq_92]),eq_57]),eq_94]),eq_78]),eq_58]),eq_40]),eq_92]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n020.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 04:18:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.05/2.23  % SZS status Unsatisfiable
% 2.05/2.23  % SZS output start CNFRefutation for /tmp/MaedMax_13622
% See solution above
% 2.05/2.23  
%------------------------------------------------------------------------------