%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP205-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n029.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 07:02:26 EDT 2022

% Result   : Unsatisfiable 19.18s 19.37s
% Output   : CNFRefutation 19.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   10
% Syntax   : Number of clauses     :  104 ( 104 unt;   0 nHn;  19 RR)
%            Number of literals    :  104 ( 103 equ;  16 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :  162 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = multiply(identity,X),
    file('/tmp/MaedMax_26294') ).

cnf(eq_1,axiom,
    X = multiply(X,identity),
    file('/tmp/MaedMax_26294') ).

cnf(eq_2,axiom,
    X = multiply(Y,left_division(Y,X)),
    file('/tmp/MaedMax_26294') ).

cnf(eq_3,axiom,
    X = left_division(Y,multiply(Y,X)),
    file('/tmp/MaedMax_26294') ).

cnf(eq_4,axiom,
    X = multiply(right_division(X,Y),Y),
    file('/tmp/MaedMax_26294') ).

cnf(eq_5,axiom,
    X = right_division(multiply(X,Y),Y),
    file('/tmp/MaedMax_26294') ).

cnf(eq_6,axiom,
    identity = multiply(X,right_inverse(X)),
    file('/tmp/MaedMax_26294') ).

cnf(eq_7,axiom,
    identity = multiply(left_inverse(X),X),
    file('/tmp/MaedMax_26294') ).

cnf(eq_8,axiom,
    multiply(X,multiply(Y,multiply(X,Z))) = multiply(multiply(multiply(X,Y),X),Z),
    file('/tmp/MaedMax_26294') ).

cnf(eq_9,negated_conjecture,
    multiply(multiply(x,y),multiply(z,x)) != multiply(x,multiply(multiply(y,z),x)),
    file('/tmp/MaedMax_26294') ).

cnf(eq_10,plain,
    X = right_division(X,identity),
    inference(cp,[status(thm)],[eq_4,eq_1]) ).

cnf(eq_11,plain,
    multiply(X,multiply(Y,multiply(X,identity))) = multiply(multiply(X,Y),X),
    inference(cp,[status(thm)],[eq_8,eq_1]) ).

cnf(eq_12,plain,
    multiply(multiply(X,X),x102) = multiply(X,multiply(identity,multiply(X,x102))),
    inference(cp,[status(thm)],[eq_1,eq_8]) ).

cnf(eq_13,plain,
    multiply(multiply(identity,X),x102) = multiply(X,multiply(right_inverse(X),multiply(X,x102))),
    inference(cp,[status(thm)],[eq_6,eq_8]) ).

cnf(eq_14,plain,
    multiply(multiply(X,Y),x102) = multiply(Y,multiply(left_division(Y,X),multiply(Y,x102))),
    inference(cp,[status(thm)],[eq_2,eq_8]) ).

cnf(eq_15,plain,
    left_division(left_inverse(X),identity) = X,
    inference(cp,[status(thm)],[eq_7,eq_3]) ).

cnf(eq_16,plain,
    left_division(X,identity) = right_inverse(X),
    inference(cp,[status(thm)],[eq_6,eq_3]) ).

cnf(eq_17,plain,
    right_division(identity,X) = left_inverse(X),
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_18,plain,
    right_division(X,X) = identity,
    inference(cp,[status(thm)],[eq_0,eq_5]) ).

cnf(eq_19,plain,
    multiply(X,multiply(Y,X)) = multiply(multiply(X,Y),X),
    inference(rw,[status(thm)],[eq_11,eq_1]) ).

cnf(eq_20,plain,
    multiply(X,Y) = multiply(X,multiply(right_inverse(X),multiply(X,Y))),
    inference(rw,[status(thm)],[eq_13,eq_0]) ).

cnf(eq_21,plain,
    multiply(X,multiply(X,Y)) = multiply(multiply(X,X),Y),
    inference(rw,[status(thm)],[eq_12,eq_0]) ).

cnf(eq_22,plain,
    multiply(X,multiply(left_division(X,Y),multiply(X,Z))) = multiply(multiply(Y,X),Z),
    eq_14 ).

cnf(eq_23,plain,
    X = right_inverse(left_inverse(X)),
    inference(cp,[status(thm)],[eq_15,eq_16]) ).

cnf(eq_24,plain,
    X = right_inverse(right_division(identity,X)),
    inference(rw,[status(thm)],[eq_23,eq_17]) ).

cnf(eq_25,plain,
    left_division(multiply(X,X),multiply(X,multiply(X,Y))) = Y,
    inference(cp,[status(thm)],[eq_21,eq_3]) ).

cnf(eq_26,plain,
    right_division(multiply(X,multiply(Y,X)),X) = multiply(X,Y),
    inference(cp,[status(thm)],[eq_19,eq_5]) ).

cnf(eq_27,plain,
    multiply(Y,X) = multiply(multiply(Y,right_division(X,Y)),Y),
    inference(cp,[status(thm)],[eq_4,eq_19]) ).

cnf(eq_28,plain,
    X = left_division(multiply(Y,Y),multiply(Y,multiply(Y,X))),
    eq_25 ).

cnf(eq_29,plain,
    multiply(X,Y) = multiply(multiply(X,right_division(Y,X)),X),
    eq_27 ).

cnf(eq_30,negated_conjecture,
    multiply(multiply(x,multiply(y,z)),x) != multiply(multiply(x,y),multiply(z,x)),
    inference(cp,[status(thm)],[eq_19,eq_9]) ).

cnf(eq_31,plain,
    multiply(X,multiply(left_division(X,x101),identity)) = multiply(multiply(x101,X),right_inverse(X)),
    inference(cp,[status(thm)],[eq_6,eq_22]) ).

cnf(eq_32,plain,
    multiply(Y,multiply(right_inverse(Y),X)) = multiply(Y,left_division(Y,X)),
    inference(cp,[status(thm)],[eq_2,eq_20]) ).

cnf(eq_33,plain,
    left_division(multiply(X,X),multiply(X,multiply(X,Y))) = multiply(right_inverse(X),multiply(X,Y)),
    inference(cp,[status(thm)],[eq_20,eq_28]) ).

cnf(eq_34,plain,
    right_division(multiply(right_inverse(X),identity),right_inverse(X)) = multiply(right_inverse(X),X),
    inference(cp,[status(thm)],[eq_6,eq_26]) ).

cnf(eq_35,plain,
    X = multiply(multiply(X,Y),right_inverse(Y)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_1]),eq_2]) ).

cnf(eq_36,plain,
    X = multiply(Y,multiply(right_inverse(Y),X)),
    inference(rw,[status(thm)],[eq_32,eq_2]) ).

cnf(eq_37,plain,
    X = multiply(right_inverse(Y),multiply(Y,X)),
    inference(rw,[status(thm)],[eq_33,eq_28]) ).

cnf(eq_38,plain,
    identity = multiply(right_inverse(X),X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_1]),eq_18]) ).

cnf(eq_39,plain,
    right_division(X,right_inverse(Y)) = multiply(X,Y),
    inference(cp,[status(thm)],[eq_35,eq_5]) ).

cnf(eq_40,plain,
    right_division(X,multiply(Y,X)) = right_inverse(Y),
    inference(cp,[status(thm)],[eq_37,eq_5]) ).

cnf(eq_41,plain,
    right_division(identity,X) = right_inverse(X),
    inference(cp,[status(thm)],[eq_38,eq_5]) ).

cnf(eq_42,plain,
    multiply(x100,identity) = right_inverse(right_inverse(x100)),
    inference(cp,[status(thm)],[eq_6,eq_36]) ).

cnf(eq_43,plain,
    multiply(X,right_inverse(Y)) = right_division(X,Y),
    inference(cp,[status(thm)],[eq_4,eq_35]) ).

cnf(eq_44,plain,
    multiply(identity,right_inverse(X)) = left_inverse(X),
    inference(cp,[status(thm)],[eq_7,eq_35]) ).

cnf(eq_45,plain,
    multiply(X,right_inverse(multiply(right_inverse(Y),X))) = Y,
    inference(cp,[status(thm)],[eq_36,eq_35]) ).

cnf(eq_46,plain,
    multiply(X,multiply(left_inverse(X),x101)) = x101,
    inference(cp,[status(thm)],[eq_23,eq_37]) ).

cnf(eq_47,plain,
    multiply(right_inverse(right_division(X,Y)),X) = Y,
    inference(cp,[status(thm)],[eq_4,eq_37]) ).

cnf(eq_48,plain,
    multiply(right_inverse(Y),X) = left_division(Y,X),
    inference(cp,[status(thm)],[eq_2,eq_37]) ).

cnf(eq_49,plain,
    X = right_inverse(right_inverse(X)),
    inference(rw,[status(thm)],[eq_42,eq_1]) ).

cnf(eq_50,plain,
    X = multiply(Y,right_inverse(multiply(right_inverse(X),Y))),
    eq_45 ).

cnf(eq_51,plain,
    multiply(right_inverse(X),Y) = left_division(X,Y),
    eq_48 ).

cnf(eq_52,plain,
    X = multiply(right_inverse(right_division(Y,X)),Y),
    eq_47 ).

cnf(eq_53,plain,
    X = multiply(Y,multiply(left_inverse(Y),X)),
    eq_46 ).

cnf(eq_54,plain,
    right_inverse(X) = left_inverse(X),
    inference(rw,[status(thm)],[eq_44,eq_0]) ).

cnf(eq_55,plain,
    multiply(X,Y) = right_division(X,right_inverse(Y)),
    eq_39 ).

cnf(eq_56,plain,
    multiply(x100,X) = right_division(x100,right_division(identity,X)),
    inference(cp,[status(thm)],[eq_24,eq_43]) ).

cnf(eq_57,plain,
    multiply(right_division(identity,X),multiply(X,x101)) = x101,
    inference(cp,[status(thm)],[eq_24,eq_36]) ).

cnf(eq_58,plain,
    right_division(Y,X) = right_inverse(right_division(X,Y)),
    inference(cp,[status(thm)],[eq_4,eq_40]) ).

cnf(eq_59,plain,
    right_division(x100,X) = multiply(x100,right_division(identity,X)),
    inference(cp,[status(thm)],[eq_24,eq_39]) ).

cnf(eq_60,plain,
    right_division(X,Y) = right_inverse(right_division(Y,X)),
    eq_58 ).

cnf(eq_61,plain,
    multiply(X,Y) = right_division(X,right_division(identity,Y)),
    eq_56 ).

cnf(eq_62,plain,
    X = multiply(right_division(identity,Y),multiply(Y,X)),
    eq_57 ).

cnf(eq_63,plain,
    multiply(X,right_division(identity,Y)) = right_division(X,Y),
    eq_59 ).

cnf(eq_64,plain,
    multiply(X,Y) = right_division(X,left_inverse(Y)),
    inference(rw,[status(thm)],[eq_55,eq_54]) ).

cnf(eq_65,plain,
    X = multiply(left_inverse(right_division(Y,X)),Y),
    inference(rw,[status(thm)],[eq_52,eq_54]) ).

cnf(eq_66,plain,
    multiply(x100,X) = left_division(left_inverse(x100),X),
    inference(cp,[status(thm)],[eq_2,eq_53]) ).

cnf(eq_67,plain,
    multiply(X,Y) = left_division(left_inverse(X),Y),
    eq_66 ).

cnf(eq_68,plain,
    right_division(X,right_division(right_inverse(X),Y)) = right_division(right_division(X,right_inverse(Y)),right_inverse(X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_55]),eq_55]),eq_60]),eq_55]),eq_55]) ).

cnf(eq_69,plain,
    right_division(X,right_inverse(Y)) = right_division(right_division(X,right_division(X,Y)),right_inverse(X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_55]),eq_55]),eq_60]),eq_55]) ).

cnf(eq_70,plain,
    right_division(right_division(right_inverse(X),right_division(right_inverse(X),x101)),X) = right_division(right_inverse(X),right_inverse(x101)),
    inference(cp,[status(thm)],[eq_49,eq_69]) ).

cnf(eq_71,plain,
    right_division(right_division(right_inverse(X),right_division(right_inverse(X),Y)),X) = right_division(right_inverse(X),right_inverse(Y)),
    eq_70 ).

cnf(eq_72,plain,
    multiply(right_division(identity,right_division(x100,x101)),x100) = x101,
    inference(cp,[status(thm)],[eq_17,eq_65]) ).

cnf(eq_73,plain,
    X = multiply(right_division(identity,right_division(Y,X)),Y),
    eq_72 ).

cnf(eq_74,plain,
    right_division(X,Y) = right_division(identity,right_division(Y,X)),
    inference(cp,[status(thm)],[eq_73,eq_5]) ).

cnf(eq_75,plain,
    right_division(X,multiply(Y,X)) = right_division(identity,Y),
    inference(cp,[status(thm)],[eq_62,eq_5]) ).

cnf(eq_76,plain,
    right_division(multiply(multiply(x100,x101),x100),Y) = multiply(x100,multiply(x101,multiply(x100,right_division(identity,Y)))),
    inference(cp,[status(thm)],[eq_63,eq_8]) ).

cnf(eq_77,plain,
    right_division(Z,multiply(X,multiply(Y,multiply(X,Z)))) = right_division(identity,multiply(multiply(X,Y),X)),
    inference(cp,[status(thm)],[eq_8,eq_75]) ).

cnf(eq_78,plain,
    multiply(X,multiply(Y,right_division(X,Z))) = right_division(multiply(multiply(X,Y),X),Z),
    inference(rw,[status(thm)],[eq_76,eq_63]) ).

cnf(eq_79,plain,
    right_division(X,multiply(Y,multiply(Z,multiply(Y,X)))) = right_division(identity,multiply(multiply(Y,Z),Y)),
    eq_77 ).

cnf(eq_80,plain,
    multiply(Y,X) = multiply(multiply(Y,left_inverse(right_division(Y,X))),Y),
    inference(cp,[status(thm)],[eq_65,eq_19]) ).

cnf(eq_81,plain,
    multiply(X,Y) = multiply(multiply(X,left_inverse(right_division(X,Y))),X),
    eq_80 ).

cnf(eq_82,negated_conjecture,
    multiply(left_division(left_inverse(x),multiply(y,z)),x) != multiply(multiply(x,y),multiply(z,x)),
    inference(cp,[status(thm)],[eq_67,eq_30]) ).

cnf(eq_83,negated_conjecture,
    multiply(multiply(x,y),multiply(z,x)) != multiply(left_division(left_inverse(x),multiply(y,z)),x),
    eq_82 ).

cnf(eq_84,plain,
    left_division(X,Y) = right_division(right_inverse(X),right_division(identity,Y)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_64]),eq_17]) ).

cnf(eq_85,negated_conjecture,
    right_division(right_division(right_inverse(right_division(identity,x)),right_division(right_division(identity,z),y)),right_division(identity,x)) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    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_83,eq_61]),eq_61]),eq_61]),eq_74]),eq_17]),eq_61]),eq_84]),eq_74]),eq_61]) ).

cnf(eq_86,plain,
    right_division(X,right_division(identity,Y)) = right_division(right_division(X,right_division(X,Y)),right_division(identity,X)),
    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_81,eq_61]),eq_17]),eq_74]),eq_61]),eq_74]),eq_61]) ).

cnf(eq_87,plain,
    right_division(X,right_division(right_division(Y,X),Z)) = right_division(right_division(X,right_division(right_inverse(X),Z)),Y),
    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_78,eq_55]),eq_60]),eq_55]),eq_60]),eq_55]),eq_55]),eq_68]) ).

cnf(eq_88,plain,
    right_division(X,right_division(Y,right_division(right_division(right_inverse(X),Y),Z))) = right_division(right_division(right_inverse(Y),Z),Y),
    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_79,eq_55]),eq_55]),eq_60]),eq_55]),eq_60]),eq_55]),eq_55]),eq_68]),eq_41]),eq_60]) ).

cnf(eq_89,negated_conjecture,
    right_division(X,right_division(right_division(identity,x),right_division(right_division(right_inverse(X),right_division(identity,x)),right_division(right_division(identity,z),y)))) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    inference(cp,[status(thm)],[eq_88,eq_85]) ).

cnf(eq_90,negated_conjecture,
    right_division(X,right_division(right_inverse(x),right_division(right_division(right_inverse(X),right_inverse(x)),right_division(right_inverse(z),y)))) != right_division(right_division(x,right_inverse(y)),right_division(right_inverse(x),z)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_41]),eq_41]),eq_41]),eq_41]),eq_41]) ).

cnf(eq_91,plain,
    right_division(right_division(identity,X),right_division(identity,Y)) = right_division(right_division(right_division(identity,X),right_division(right_division(identity,X),Y)),X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_41]),eq_41]),eq_41]),eq_41]) ).

cnf(eq_92,plain,
    right_division(X,right_division(right_division(Y,X),Z)) = right_division(right_division(X,right_division(right_division(identity,X),Z)),Y),
    inference(rw,[status(thm)],[eq_87,eq_41]) ).

cnf(eq_93,plain,
    right_division(X,right_division(Y,right_division(right_division(right_division(identity,X),Y),Z))) = right_division(right_division(right_division(identity,Y),Z),Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_41]),eq_41]) ).

cnf(eq_94,negated_conjecture,
    right_division(X,right_division(right_division(identity,x),right_division(right_division(right_division(identity,X),right_division(identity,x)),right_division(right_division(identity,z),y)))) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    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_90,eq_41]),eq_41]),eq_41]),eq_41]),eq_41]),eq_41]) ).

cnf(eq_95,negated_conjecture,
    right_division(right_division(identity,Y),right_division(right_division(identity,x),right_division(right_division(right_division(right_division(identity,right_division(identity,Y)),right_division(identity,identity)),right_division(identity,x)),right_division(right_division(identity,z),y)))) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    inference(cp,[status(thm)],[eq_86,eq_94]) ).

cnf(eq_96,negated_conjecture,
    right_division(right_division(identity,X),right_division(right_division(identity,x),right_division(right_division(X,right_division(identity,x)),right_division(right_division(identity,z),y)))) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_95,eq_74]),eq_10]),eq_10]),eq_10]) ).

cnf(eq_97,negated_conjecture,
    right_division(right_division(identity,right_division(right_division(identity,right_division(identity,x)),right_division(right_division(identity,right_division(identity,x)),Y))),right_division(right_division(identity,x),right_division(right_division(right_division(identity,right_division(identity,x)),right_division(identity,Y)),right_division(right_division(identity,z),y)))) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    inference(cp,[status(thm)],[eq_91,eq_96]) ).

cnf(eq_98,negated_conjecture,
    right_division(right_division(right_division(x,X),x),right_division(right_division(identity,x),right_division(right_division(x,right_division(identity,X)),right_division(right_division(identity,z),y)))) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    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_97,eq_74]),eq_74]),eq_74]),eq_10]),eq_10]),eq_10]),eq_74]) ).

cnf(eq_99,negated_conjecture,
    right_division(right_division(right_division(x,right_division(right_division(right_division(identity,x),identity),Z)),x),right_division(right_division(identity,x),right_division(right_division(right_division(right_division(identity,identity),Z),identity),right_division(right_division(identity,z),y)))) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    inference(cp,[status(thm)],[eq_93,eq_98]) ).

cnf(eq_100,negated_conjecture,
    right_division(right_division(x,right_division(identity,X)),right_division(right_division(identity,x),right_division(right_division(identity,X),right_division(right_division(identity,z),y)))) != right_division(right_division(x,right_division(identity,y)),right_division(right_division(identity,x),z)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_99,eq_10]),eq_10]),eq_92]),eq_10]),eq_18]) ).

cnf(eq_101,negated_conjecture,
    multiply(multiply(x,X),right_inverse(multiply(right_inverse(x),right_inverse(multiply(right_inverse(X),right_inverse(multiply(right_inverse(z),right_inverse(y)))))))) != multiply(multiply(x,y),right_inverse(multiply(right_inverse(x),right_inverse(z)))),
    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)],[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_100,eq_43]),eq_43]),eq_43]),eq_43]),eq_0]),eq_0]),eq_0]),eq_0]),eq_43]),eq_43]),eq_49]),eq_43]),eq_43]),eq_43]),eq_43]),eq_43]),eq_0]),eq_0]),eq_43]),eq_43]),eq_49]),eq_43]) ).

cnf(eq_102,negated_conjecture,
    multiply(multiply(x,y),right_inverse(multiply(right_inverse(x),right_inverse(z)))) != multiply(multiply(x,y),right_inverse(multiply(right_inverse(x),right_inverse(z)))),
    inference(cp,[status(thm)],[eq_50,eq_101]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP205-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Jul 26 04:29:28 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 19.18/19.37  % SZS status Unsatisfiable
% 19.18/19.37  % SZS output start CNFRefutation for /tmp/MaedMax_26294
% See solution above
% 19.18/19.37  
%------------------------------------------------------------------------------