%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n009.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 1.49s 1.72s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 5
% Syntax : Number of clauses : 111 ( 111 unt; 0 nHn; 23 RR)
% Number of literals : 111 ( 110 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 140 ( 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_9164') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_9164') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_9164') ).
cnf(eq_3,axiom,
identity = double_divide(A,inverse(A)),
file('/tmp/MaedMax_9164') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_9164') ).
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,plain,
identity = double_divide(A,double_divide(A,identity)),
inference(rw,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_8,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_9,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_10,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_9 ).
cnf(eq_11,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_12,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_13,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_14,plain,
double_divide(A,inverse(double_divide(double_divide(identity,inverse(inverse(A))),B))) = inverse(B),
inference(rw,[status(thm)],[eq_12,eq_2]) ).
cnf(eq_15,plain,
identity = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),inverse(B))),B))),
eq_13 ).
cnf(eq_16,plain,
A = double_divide(B,inverse(inverse(double_divide(identity,double_divide(inverse(B),double_divide(identity,A)))))),
eq_11 ).
cnf(eq_17,plain,
double_divide(x100,inverse(double_divide(double_divide(identity,identity),inverse(x100)))) = identity,
inference(cp,[status(thm)],[eq_3,eq_15]) ).
cnf(eq_18,plain,
double_divide(x100,inverse(identity)) = inverse(inverse(double_divide(identity,inverse(inverse(x100))))),
inference(cp,[status(thm)],[eq_3,eq_14]) ).
cnf(eq_19,plain,
double_divide(x100,inverse(inverse(double_divide(identity,double_divide(inverse(x100),identity))))) = inverse(identity),
inference(cp,[status(thm)],[eq_3,eq_16]) ).
cnf(eq_20,plain,
double_divide(A,inverse(inverse(double_divide(identity,inverse(inverse(A)))))) = inverse(identity),
inference(rw,[status(thm)],[eq_19,eq_2]) ).
cnf(eq_21,plain,
identity = double_divide(A,inverse(double_divide(inverse(identity),inverse(A)))),
inference(rw,[status(thm)],[eq_17,eq_2]) ).
cnf(eq_22,plain,
double_divide(A,inverse(identity)) = inverse(inverse(double_divide(identity,inverse(inverse(A))))),
eq_18 ).
cnf(eq_23,plain,
double_divide(A,inverse(identity)) = inverse(multiply(inverse(inverse(A)),identity)),
inference(rw,[status(thm)],[eq_22,eq_6]) ).
cnf(eq_24,plain,
double_divide(A,inverse(multiply(inverse(inverse(A)),identity))) = inverse(identity),
inference(rw,[status(thm)],[eq_20,eq_6]) ).
cnf(eq_25,plain,
identity = double_divide(A,multiply(inverse(A),inverse(identity))),
inference(rw,[status(thm)],[eq_21,eq_6]) ).
cnf(eq_26,plain,
identity = double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(B))))),
inference(rw,[status(thm)],[eq_15,eq_6]) ).
cnf(eq_27,plain,
A = double_divide(B,multiply(C,double_divide(identity,double_divide(inverse(B),double_divide(C,A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]),eq_6]) ).
cnf(eq_28,plain,
double_divide(A,multiply(B,double_divide(identity,inverse(inverse(A))))) = inverse(B),
inference(rw,[status(thm)],[eq_14,eq_6]) ).
cnf(eq_29,plain,
double_divide(double_divide(B,A),multiply(A,B)) = identity,
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_30,plain,
inverse(identity) = multiply(inverse(A),A),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_31,plain,
inverse(inverse(A)) = multiply(identity,A),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_32,plain,
multiply(inverse(A),A) = inverse(identity),
eq_30 ).
cnf(eq_33,plain,
multiply(identity,A) = inverse(inverse(A)),
eq_31 ).
cnf(eq_34,plain,
identity = double_divide(double_divide(A,B),multiply(B,A)),
eq_29 ).
cnf(eq_35,plain,
double_divide(A,identity) = double_divide(B,multiply(A,double_divide(identity,multiply(identity,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)],[eq_14,eq_2]),eq_2]),eq_1]),eq_2]),eq_1]),eq_2]) ).
cnf(eq_36,plain,
double_divide(A,double_divide(identity,identity)) = double_divide(multiply(multiply(identity,A),identity),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_22,eq_2]),eq_2]),eq_2]),eq_1]),eq_2]),eq_1]),eq_2]) ).
cnf(eq_37,plain,
double_divide(identity,multiply(double_divide(A,identity),A)) = identity,
inference(cp,[status(thm)],[eq_7,eq_34]) ).
cnf(eq_38,plain,
identity = double_divide(identity,multiply(double_divide(A,identity),A)),
eq_37 ).
cnf(eq_39,plain,
identity = inverse(multiply(inverse(inverse(identity)),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_2]),eq_32]),eq_23]) ).
cnf(eq_40,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(cp,[status(thm)],[eq_32,eq_25]) ).
cnf(eq_41,plain,
inverse(inverse(identity)) = multiply(inverse(multiply(inverse(inverse(A)),identity)),A),
inference(cp,[status(thm)],[eq_24,eq_6]) ).
cnf(eq_42,plain,
inverse(identity) = multiply(multiply(inverse(A),inverse(identity)),A),
inference(cp,[status(thm)],[eq_25,eq_6]) ).
cnf(eq_43,plain,
multiply(multiply(inverse(A),inverse(identity)),A) = inverse(identity),
eq_42 ).
cnf(eq_44,plain,
identity = inverse(multiply(inverse(inverse(inverse(identity))),identity)),
inference(rw,[status(thm)],[eq_40,eq_23]) ).
cnf(eq_45,plain,
multiply(inverse(multiply(inverse(inverse(A)),identity)),A) = inverse(inverse(identity)),
eq_41 ).
cnf(eq_46,plain,
multiply(double_divide(A,inverse(identity)),A) = inverse(inverse(identity)),
inference(rw,[status(thm)],[eq_45,eq_23]) ).
cnf(eq_47,plain,
double_divide(inverse(identity),identity) = inverse(identity),
inference(cp,[status(thm)],[eq_44,eq_24]) ).
cnf(eq_48,plain,
double_divide(multiply(inverse(inverse(identity)),identity),inverse(multiply(inverse(identity),identity))) = inverse(identity),
inference(cp,[status(thm)],[eq_39,eq_24]) ).
cnf(eq_49,plain,
double_divide(multiply(inverse(inverse(identity)),identity),inverse(inverse(identity))) = inverse(identity),
inference(rw,[status(thm)],[eq_48,eq_32]) ).
cnf(eq_50,plain,
inverse(identity) = inverse(inverse(identity)),
inference(rw,[status(thm)],[eq_47,eq_2]) ).
cnf(eq_51,plain,
double_divide(identity,multiply(x101,double_divide(identity,inverse(identity)))) = inverse(x101),
inference(cp,[status(thm)],[eq_50,eq_28]) ).
cnf(eq_52,plain,
double_divide(multiply(inverse(identity),identity),inverse(inverse(identity))) = inverse(identity),
inference(cp,[status(thm)],[eq_50,eq_49]) ).
cnf(eq_53,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_32]),eq_3]) ).
cnf(eq_54,plain,
double_divide(identity,multiply(A,identity)) = inverse(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_23]),eq_39]) ).
cnf(eq_55,plain,
identity = multiply(inverse(A),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_53]),eq_2]),eq_53]),eq_53]) ).
cnf(eq_56,plain,
inverse(A) = inverse(multiply(inverse(inverse(A)),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_2]),eq_53]),eq_2]),eq_33]),eq_2]) ).
cnf(eq_57,plain,
identity = multiply(multiply(inverse(A),identity),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_53]),eq_53]) ).
cnf(eq_58,plain,
double_divide(identity,identity) = identity,
inference(cp,[status(thm)],[eq_53,eq_3]) ).
cnf(eq_59,plain,
inverse(inverse(A)) = multiply(multiply(A,identity),identity),
inference(cp,[status(thm)],[eq_54,eq_6]) ).
cnf(eq_60,plain,
multiply(multiply(A,identity),identity) = inverse(inverse(A)),
eq_59 ).
cnf(eq_61,plain,
double_divide(x100,identity) = inverse(multiply(inverse(double_divide(identity,inverse(inverse(x100)))),identity)),
inference(cp,[status(thm)],[eq_57,eq_28]) ).
cnf(eq_62,plain,
double_divide(identity,inverse(inverse(A))) = inverse(multiply(A,identity)),
inference(cp,[status(thm)],[eq_60,eq_54]) ).
cnf(eq_63,plain,
multiply(inverse(inverse(A)),identity) = inverse(inverse(multiply(A,identity))),
inference(cp,[status(thm)],[eq_60,eq_60]) ).
cnf(eq_64,plain,
inverse(A) = inverse(inverse(inverse(inverse(inverse(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_2]),eq_6]),eq_60]) ).
cnf(eq_65,plain,
double_divide(identity,inverse(A)) = inverse(multiply(inverse(inverse(inverse(A))),identity)),
inference(cp,[status(thm)],[eq_64,eq_62]) ).
cnf(eq_66,plain,
multiply(inverse(A),identity) = inverse(inverse(multiply(inverse(inverse(inverse(A))),identity))),
inference(cp,[status(thm)],[eq_64,eq_63]) ).
cnf(eq_67,plain,
double_divide(identity,inverse(A)) = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_65,eq_56]) ).
cnf(eq_68,plain,
multiply(inverse(A),identity) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[eq_66,eq_56]) ).
cnf(eq_69,plain,
multiply(inverse(inverse(inverse(A))),identity) = inverse(inverse(inverse(A))),
inference(cp,[status(thm)],[eq_68,eq_60]) ).
cnf(eq_70,plain,
inverse(A) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_68]),eq_64]) ).
cnf(eq_71,plain,
inverse(inverse(multiply(A,B))) = inverse(double_divide(B,A)),
inference(cp,[status(thm)],[eq_6,eq_70]) ).
cnf(eq_72,plain,
multiply(A,B) = inverse(inverse(multiply(A,B))),
inference(rw,[status(thm)],[eq_71,eq_6]) ).
cnf(eq_73,plain,
multiply(inverse(A),identity) = inverse(A),
inference(rw,[status(thm)],[eq_68,eq_70]) ).
cnf(eq_74,plain,
multiply(A,identity) = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_73]),eq_72]) ).
cnf(eq_75,plain,
double_divide(A,multiply(B,inverse(A))) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_2]),eq_33]),eq_67]),eq_70]) ).
cnf(eq_76,plain,
multiply(multiply(A,B),identity) = inverse(inverse(inverse(inverse(multiply(A,B))))),
inference(cp,[status(thm)],[eq_72,eq_68]) ).
cnf(eq_77,plain,
multiply(A,B) = multiply(multiply(A,B),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_72]),eq_72]) ).
cnf(eq_78,plain,
double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(x101,x102))),x101),identity)) = x102,
inference(cp,[status(thm)],[eq_58,eq_0]) ).
cnf(eq_79,plain,
A = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(B,A))),B),identity)),
eq_78 ).
cnf(eq_80,plain,
A = double_divide(identity,multiply(B,double_divide(identity,double_divide(identity,double_divide(B,A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_2]),eq_6]) ).
cnf(eq_81,plain,
double_divide(x100,multiply(A,double_divide(identity,double_divide(inverse(x100),identity)))) = multiply(B,double_divide(identity,double_divide(inverse(A),inverse(B)))),
inference(cp,[status(thm)],[eq_26,eq_27]) ).
cnf(eq_82,plain,
inverse(A) = multiply(multiply(B,double_divide(identity,double_divide(identity,double_divide(B,A)))),identity),
inference(cp,[status(thm)],[eq_80,eq_6]) ).
cnf(eq_83,plain,
multiply(A,double_divide(identity,double_divide(inverse(B),inverse(A)))) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_81,eq_2]),eq_28]) ).
cnf(eq_84,plain,
multiply(A,double_divide(identity,double_divide(identity,double_divide(A,B)))) = inverse(B),
inference(rw,[status(thm)],[eq_82,eq_77]) ).
cnf(eq_85,plain,
A = inverse(inverse(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)],[inference(rw,[status(thm)],[eq_11,eq_6]),eq_74]),eq_6]),eq_72]),eq_75]),eq_6]),eq_74]) ).
cnf(eq_86,plain,
A = multiply(A,identity),
inference(rw,[status(thm)],[eq_85,eq_74]) ).
cnf(eq_87,plain,
multiply(A,identity) = multiply(identity,A),
inference(rw,[status(thm)],[eq_33,eq_74]) ).
cnf(eq_88,plain,
A = multiply(identity,A),
inference(rw,[status(thm)],[eq_87,eq_86]) ).
cnf(eq_89,plain,
double_divide(identity,A) = inverse(A),
inference(rw,[status(thm)],[eq_54,eq_86]) ).
cnf(eq_90,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(cp,[status(thm)],[eq_6,eq_85]) ).
cnf(eq_91,plain,
double_divide(A,B) = inverse(multiply(B,A)),
eq_90 ).
cnf(eq_92,plain,
multiply(x100,inverse(double_divide(inverse(x101),inverse(x100)))) = inverse(x101),
inference(cp,[status(thm)],[eq_89,eq_83]) ).
cnf(eq_93,plain,
multiply(A,multiply(inverse(A),inverse(B))) = inverse(B),
inference(rw,[status(thm)],[eq_92,eq_6]) ).
cnf(eq_94,plain,
multiply(A,multiply(inverse(multiply(B,A)),inverse(C))) = inverse(multiply(multiply(C,multiply(B,inverse(x3))),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)],[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_10,eq_91]),eq_88]),eq_91]),eq_91]),eq_86]),eq_85]),eq_91]),eq_91]),eq_88]),eq_85]),eq_91]),eq_91]),eq_91]),eq_88]),eq_91]),eq_91]),eq_86]),eq_85]),eq_91]),eq_91]),eq_88]),eq_85]) ).
cnf(eq_95,plain,
multiply(A,inverse(multiply(B,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)],[eq_84,eq_91]),eq_91]),eq_86]),eq_85]),eq_91]),eq_86]) ).
cnf(eq_96,plain,
multiply(inverse(A),multiply(A,inverse(x101))) = inverse(x101),
inference(cp,[status(thm)],[eq_85,eq_93]) ).
cnf(eq_97,plain,
multiply(inverse(A),multiply(A,inverse(B))) = inverse(B),
eq_96 ).
cnf(eq_98,plain,
inverse(A) = inverse(double_divide(inverse(double_divide(inverse(A),B)),inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_6]),eq_6]) ).
cnf(eq_99,plain,
inverse(double_divide(inverse(double_divide(A,x101)),inverse(x101))) = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_85,eq_98]) ).
cnf(eq_100,plain,
A = inverse(double_divide(inverse(double_divide(A,B)),inverse(B))),
inference(rw,[status(thm)],[eq_99,eq_85]) ).
cnf(eq_101,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_91]),eq_85]),eq_91]),eq_85]) ).
cnf(eq_102,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
inference(cp,[status(thm)],[eq_95,eq_97]) ).
cnf(eq_103,plain,
multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))) = multiply(inverse(x3),multiply(multiply(x3,inverse(B)),inverse(C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_102]),eq_102]),eq_102]),eq_102]),eq_85]) ).
cnf(eq_104,plain,
multiply(inverse(A),multiply(inverse(x3),multiply(multiply(x3,inverse(B)),inverse(C)))) = multiply(multiply(inverse(A),inverse(B)),inverse(C)),
inference(cp,[status(thm)],[eq_103,eq_101]) ).
cnf(eq_105,plain,
multiply(inverse(x100),multiply(inverse(inverse(inverse(x102))),multiply(identity,inverse(x103)))) = multiply(multiply(inverse(x100),inverse(x102)),inverse(x103)),
inference(cp,[status(thm)],[eq_55,eq_104]) ).
cnf(eq_106,plain,
multiply(multiply(inverse(A),inverse(B)),inverse(C)) = multiply(inverse(A),multiply(inverse(B),inverse(C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_105,eq_85]),eq_88]) ).
cnf(eq_107,plain,
inverse(multiply(multiply(inverse(A),inverse(B)),inverse(C))) = multiply(inverse(multiply(inverse(B),inverse(C))),inverse(inverse(A))),
inference(cp,[status(thm)],[eq_106,eq_102]) ).
cnf(eq_108,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,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)],[eq_107,eq_102]),eq_85]),eq_102]),eq_85]),eq_85]),eq_102]),eq_85]),eq_85]),eq_85]) ).
cnf(eq_109,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(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)],[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_8,eq_91]),eq_91]),eq_88]),eq_85]),eq_91]),eq_91]),eq_88]),eq_85]),eq_91]),eq_91]),eq_88]),eq_85]),eq_91]),eq_108]),eq_91]),eq_88]),eq_85]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n009.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 04:20:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.49/1.72 % SZS status Unsatisfiable
% 1.49/1.72 % SZS output start CNFRefutation for /tmp/MaedMax_9164
% See solution above
% 1.49/1.73
%------------------------------------------------------------------------------