Prover9---2026-6A.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : GRP024-5 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:26:17 AM UTC 2026

% Result   : Unsatisfiable 212.47s 34.09s
% Output   : CNFRefutation 212.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  215
%            Number of leaves      :    6
% Syntax   : Number of formulae    : 1050 (1050 unt;   0 def)
%            Number of atoms       : 1050 (1049 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   12 (  12   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   : 3042 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(left_identity,axiom,
    ! [VAR_0] : multiply(identity,VAR_0) = VAR_0,
    file('theBenchmark.p',left_identity) ).

cnf(c_1,plain,
    multiply(identity,A) = A,
    inference(clausify,[status(thm)],[left_identity]) ).

fof(left_inverse,axiom,
    ! [VAR_0] : multiply(inverse(VAR_0),VAR_0) = identity,
    file('theBenchmark.p',left_inverse) ).

cnf(c_2,plain,
    multiply(inverse(A),A) = identity,
    inference(clausify,[status(thm)],[left_inverse]) ).

fof(associativity,axiom,
    ! [VAR_0,VAR_1,VAR_2] : multiply(multiply(VAR_0,VAR_1),VAR_2) = multiply(VAR_0,multiply(VAR_1,VAR_2)),
    file('theBenchmark.p',associativity) ).

cnf(c_3,plain,
    multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
    inference(clausify,[status(thm)],[associativity]) ).

fof(name,axiom,
    ! [VAR_0,VAR_1] : commutator(VAR_0,VAR_1) = multiply(inverse(VAR_0),multiply(inverse(VAR_1),multiply(VAR_0,VAR_1))),
    file('theBenchmark.p',name) ).

cnf(c_4,plain,
    commutator(A,B) = multiply(inverse(A),multiply(inverse(B),multiply(A,B))),
    inference(clausify,[status(thm)],[name]) ).

fof(associativity_of_commutator,axiom,
    ! [VAR_0,VAR_1,VAR_2] : commutator(commutator(VAR_0,VAR_1),VAR_2) = commutator(VAR_0,commutator(VAR_1,VAR_2)),
    file('theBenchmark.p',associativity_of_commutator) ).

cnf(c_5,plain,
    commutator(commutator(A,B),C) = commutator(A,commutator(B,C)),
    inference(clausify,[status(thm)],[associativity_of_commutator]) ).

cnf(c_4037,plain,
    commutator(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),C) = commutator(A,commutator(B,C)),
    inference(paramod,[status(thm)],[c_4,c_5]) ).

cnf(c_4038,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),C))) = commutator(A,commutator(B,C)),
    inference(paramod,[status(thm)],[c_4,c_4037]) ).

cnf(c_4039,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),C)))) = commutator(A,commutator(B,C)),
    inference(paramod,[status(thm)],[c_3,c_4038]) ).

cnf(c_4040,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(multiply(A,B),C))))) = commutator(A,commutator(B,C)),
    inference(paramod,[status(thm)],[c_3,c_4039]) ).

cnf(c_4041,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C)))))) = commutator(A,commutator(B,C)),
    inference(paramod,[status(thm)],[c_3,c_4040]) ).

cnf(c_4042,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C)))))) = commutator(A,multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),
    inference(paramod,[status(thm)],[c_4,c_4041]) ).

cnf(c_6,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C)))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_4,c_4042]) ).

fof(prove_center,axiom,
    multiply(a,commutator(b,c)) != multiply(commutator(b,c),a),
    file('theBenchmark.p',prove_center) ).

cnf(c_7,plain,
    multiply(a,commutator(b,c)) != multiply(commutator(b,c),a),
    inference(clausify,[status(thm)],[prove_center]) ).

cnf(c_4043,plain,
    multiply(a,multiply(inverse(b),multiply(inverse(c),multiply(b,c)))) != multiply(commutator(b,c),a),
    inference(paramod,[status(thm)],[c_4,c_7]) ).

cnf(c_4044,plain,
    multiply(a,multiply(inverse(b),multiply(inverse(c),multiply(b,c)))) != multiply(multiply(inverse(b),multiply(inverse(c),multiply(b,c))),a),
    inference(paramod,[status(thm)],[c_4,c_4043]) ).

cnf(c_4045,plain,
    multiply(a,multiply(inverse(b),multiply(inverse(c),multiply(b,c)))) != multiply(inverse(b),multiply(multiply(inverse(c),multiply(b,c)),a)),
    inference(paramod,[status(thm)],[c_3,c_4044]) ).

cnf(c_4046,plain,
    multiply(a,multiply(inverse(b),multiply(inverse(c),multiply(b,c)))) != multiply(inverse(b),multiply(inverse(c),multiply(multiply(b,c),a))),
    inference(paramod,[status(thm)],[c_3,c_4045]) ).

cnf(c_4047,plain,
    multiply(a,multiply(inverse(b),multiply(inverse(c),multiply(b,c)))) != multiply(inverse(b),multiply(inverse(c),multiply(b,multiply(c,a)))),
    inference(paramod,[status(thm)],[c_3,c_4046]) ).

cnf(c_8,plain,
    multiply(inverse(b),multiply(inverse(c),multiply(b,multiply(c,a)))) != multiply(a,multiply(inverse(b),multiply(inverse(c),multiply(b,c)))),
    inference(copy,[status(thm)],[c_4047]) ).

cnf(c_4048,plain,
    multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
    inference(paramod,[status(thm)],[c_2,c_3]) ).

cnf(c_4049,plain,
    A = multiply(inverse(B),multiply(B,A)),
    inference(paramod,[status(thm)],[c_1,c_4048]) ).

cnf(c_9,plain,
    multiply(inverse(A),multiply(A,B)) = B,
    inference(copy,[status(thm)],[c_4049]) ).

cnf(c_4050,plain,
    multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(A),identity))),multiply(inverse(B),multiply(inverse(inverse(A)),multiply(inverse(A),multiply(inverse(A),multiply(A,B)))))) = multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_2,c_6]) ).

cnf(c_4051,plain,
    multiply(inverse(identity),multiply(inverse(B),multiply(inverse(inverse(A)),multiply(inverse(A),multiply(inverse(A),multiply(A,B)))))) = multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_9,c_4050]) ).

cnf(c_4052,plain,
    multiply(inverse(identity),multiply(inverse(B),multiply(inverse(inverse(A)),multiply(inverse(A),B)))) = multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_9,c_4051]) ).

cnf(c_4053,plain,
    multiply(inverse(identity),multiply(inverse(B),B)) = multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_9,c_4052]) ).

cnf(c_4054,plain,
    multiply(inverse(identity),identity) = multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_2,c_4053]) ).

cnf(c_4055,plain,
    identity = multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_2,c_4054]) ).

cnf(c_12,plain,
    multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))) = identity,
    inference(copy,[status(thm)],[c_4055]) ).

cnf(c_4056,plain,
    multiply(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,C)))))),D) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_6,c_3]) ).

cnf(c_4057,plain,
    multiply(inverse(A),multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,C))))),D)) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4056]) ).

cnf(c_4058,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),D))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4057]) ).

cnf(c_4059,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,C))),D)))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4058]) ).

cnf(c_4060,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(multiply(inverse(C),multiply(B,C)),D))))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4059]) ).

cnf(c_4061,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(multiply(B,C),D)))))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4060]) ).

cnf(c_4062,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4061]) ).

cnf(c_4063,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C)))),D))),
    inference(paramod,[status(thm)],[c_3,c_4062]) ).

cnf(c_4064,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,multiply(B,C))),D)))),
    inference(paramod,[status(thm)],[c_3,c_4063]) ).

cnf(c_4065,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(multiply(A,multiply(B,C)),D))))),
    inference(paramod,[status(thm)],[c_3,c_4064]) ).

cnf(c_4066,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(B,C),D)))))),
    inference(paramod,[status(thm)],[c_3,c_4065]) ).

cnf(c_4067,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))) = multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4066]) ).

cnf(c_14,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(C,D))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(copy,[status(thm)],[c_4067]) ).

cnf(c_4068,plain,
    multiply(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C))))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D)))))) = multiply(A,multiply(inverse(B),multiply(inverse(multiply(inverse(C),multiply(inverse(D),multiply(C,D)))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_6,c_3]) ).

cnf(c_15,plain,
    multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))) = multiply(A,multiply(inverse(B),multiply(inverse(multiply(inverse(C),multiply(inverse(D),multiply(C,D)))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4068]) ).

cnf(c_17,plain,
    multiply(inverse(inverse(A)),identity) = A,
    inference(paramod,[status(thm)],[c_2,c_9]) ).

cnf(c_18,plain,
    multiply(inverse(multiply(A,B)),multiply(A,multiply(B,C))) = C,
    inference(paramod,[status(thm)],[c_3,c_9]) ).

cnf(c_26,plain,
    multiply(inverse(inverse(A)),B) = multiply(A,B),
    inference(paramod,[status(thm)],[c_9,c_9]) ).

cnf(c_32,plain,
    multiply(A,identity) = A,
    inference(paramod,[status(thm)],[c_26,c_17]) ).

cnf(c_33,plain,
    multiply(A,multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))) = identity,
    inference(paramod,[status(thm)],[c_26,c_12]) ).

cnf(c_48,plain,
    inverse(identity) = identity,
    inference(paramod,[status(thm)],[c_32,c_2]) ).

cnf(c_49,plain,
    multiply(A,inverse(A)) = identity,
    inference(paramod,[status(thm)],[c_26,c_2]) ).

cnf(c_53,plain,
    multiply(A,multiply(inverse(A),B)) = B,
    inference(paramod,[status(thm)],[c_26,c_9]) ).

cnf(c_4069,plain,
    multiply(A,identity) = inverse(inverse(A)),
    inference(paramod,[status(thm)],[c_26,c_32]) ).

cnf(c_4070,plain,
    A = inverse(inverse(A)),
    inference(paramod,[status(thm)],[c_32,c_4069]) ).

cnf(c_57,plain,
    inverse(inverse(A)) = A,
    inference(copy,[status(thm)],[c_4070]) ).

cnf(c_4071,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(A)),identity))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(inverse(A)),multiply(A,multiply(inverse(A),multiply(B,C))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_49,c_14]) ).

cnf(c_4072,plain,
    multiply(inverse(multiply(inverse(A),multiply(A,identity))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(inverse(A)),multiply(A,multiply(inverse(A),multiply(B,C))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_57,c_4071]) ).

cnf(c_4073,plain,
    multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(inverse(A),multiply(inverse(inverse(A)),multiply(A,multiply(inverse(A),multiply(B,C))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_32,c_4072]) ).

cnf(c_4074,plain,
    multiply(inverse(identity),multiply(inverse(B),multiply(inverse(A),multiply(inverse(inverse(A)),multiply(A,multiply(inverse(A),multiply(B,C))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_2,c_4073]) ).

cnf(c_4075,plain,
    multiply(identity,multiply(inverse(B),multiply(inverse(A),multiply(inverse(inverse(A)),multiply(A,multiply(inverse(A),multiply(B,C))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_48,c_4074]) ).

cnf(c_4076,plain,
    multiply(identity,multiply(inverse(B),multiply(inverse(A),multiply(A,multiply(A,multiply(inverse(A),multiply(B,C))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_57,c_4075]) ).

cnf(c_4077,plain,
    multiply(identity,multiply(inverse(B),multiply(inverse(A),multiply(A,multiply(B,C))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_53,c_4076]) ).

cnf(c_4078,plain,
    multiply(identity,multiply(inverse(B),multiply(B,C))) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_9,c_4077]) ).

cnf(c_4079,plain,
    multiply(identity,C) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_9,c_4078]) ).

cnf(c_4080,plain,
    C = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_1,c_4079]) ).

cnf(c_4081,plain,
    C = multiply(inverse(A),multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(inverse(inverse(A)),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_57,c_4080]) ).

cnf(c_4082,plain,
    C = multiply(inverse(A),multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_57,c_4081]) ).

cnf(c_61,plain,
    multiply(inverse(A),multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(A),B)))),multiply(A,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))) = C,
    inference(copy,[status(thm)],[c_4082]) ).

cnf(c_4083,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,identity)))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,inverse(C)))))))),
    inference(paramod,[status(thm)],[c_49,c_14]) ).

cnf(c_4084,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,inverse(C)))))))),
    inference(paramod,[status(thm)],[c_32,c_4083]) ).

cnf(c_4085,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,identity)))))),
    inference(paramod,[status(thm)],[c_49,c_4084]) ).

cnf(c_62,plain,
    multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_32,c_4085]) ).

cnf(c_4086,plain,
    multiply(inverse(multiply(A,B)),multiply(A,identity)) = inverse(B),
    inference(paramod,[status(thm)],[c_49,c_18]) ).

cnf(c_79,plain,
    multiply(inverse(multiply(A,B)),A) = inverse(B),
    inference(paramod,[status(thm)],[c_32,c_4086]) ).

cnf(c_80,plain,
    multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(B),C),
    inference(paramod,[status(thm)],[c_53,c_18]) ).

cnf(c_85,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = C,
    inference(paramod,[status(thm)],[c_80,c_61]) ).

cnf(c_88,plain,
    multiply(A,multiply(inverse(multiply(inverse(B),multiply(A,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = identity,
    inference(paramod,[status(thm)],[c_80,c_33]) ).

cnf(c_4087,plain,
    multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
    inference(paramod,[status(thm)],[c_9,c_79]) ).

cnf(c_89,plain,
    inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
    inference(copy,[status(thm)],[c_4087]) ).

cnf(c_4088,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(multiply(inverse(C),multiply(inverse(D),multiply(C,D)))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_15,c_79]) ).

cnf(c_4089,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(multiply(inverse(multiply(inverse(D),multiply(C,D))),inverse(inverse(C))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4088]) ).

cnf(c_4090,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(multiply(multiply(inverse(multiply(C,D)),inverse(inverse(D))),inverse(inverse(C))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4089]) ).

cnf(c_4091,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(multiply(multiply(multiply(inverse(D),inverse(C)),inverse(inverse(D))),inverse(inverse(C))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4090]) ).

cnf(c_4092,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(multiply(multiply(multiply(inverse(D),inverse(C)),D),inverse(inverse(C))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4091]) ).

cnf(c_4093,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(multiply(multiply(inverse(D),multiply(inverse(C),D)),inverse(inverse(C))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4092]) ).

cnf(c_4094,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(multiply(multiply(inverse(D),multiply(inverse(C),D)),C),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4093]) ).

cnf(c_4095,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(multiply(inverse(D),multiply(multiply(inverse(C),D),C)),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4094]) ).

cnf(c_4096,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,C))),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4095]) ).

cnf(c_4097,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,C)),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D))))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4096]) ).

cnf(c_4098,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,C),multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4097]) ).

cnf(c_4099,plain,
    multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D))))))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4098]) ).

cnf(c_4100,plain,
    multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4099]) ).

cnf(c_4101,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D))))))))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4100]) ).

cnf(c_4102,plain,
    multiply(multiply(multiply(multiply(inverse(multiply(inverse(C),multiply(D,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4101]) ).

cnf(c_4103,plain,
    multiply(multiply(multiply(multiply(multiply(inverse(multiply(D,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D))))))),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4102]) ).

cnf(c_4104,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4103]) ).

cnf(c_4105,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(D),multiply(C,D))))),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4104]) ).

cnf(c_4106,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(inverse(C),multiply(inverse(D),multiply(C,D)))),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4105]) ).

cnf(c_4107,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(inverse(D),multiply(C,D))),inverse(inverse(C))),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4106]) ).

cnf(c_4108,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(C,D)),inverse(inverse(D))),inverse(inverse(C))),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4107]) ).

cnf(c_4109,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),inverse(C)),inverse(inverse(D))),inverse(inverse(C))),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4108]) ).

cnf(c_4110,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),inverse(C)),D),inverse(inverse(C))),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4109]) ).

cnf(c_4111,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),D)),inverse(inverse(C))),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4110]) ).

cnf(c_4112,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),D)),C),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4111]) ).

cnf(c_4113,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),D),C)),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4112]) ).

cnf(c_4114,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,C))),inverse(B)),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4113]) ).

cnf(c_4115,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,C)),inverse(B))),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4114]) ).

cnf(c_4116,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,C),inverse(B)))),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4115]) ).

cnf(c_4117,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,inverse(B))))),inverse(C)),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4116]) ).

cnf(c_4118,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,multiply(C,inverse(B)))),inverse(C))),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4117]) ).

cnf(c_4119,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,multiply(C,inverse(B))),inverse(C)))),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4118]) ).

cnf(c_4120,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(multiply(C,inverse(B)),inverse(C))))),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4119]) ).

cnf(c_4121,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),inverse(C)))))),inverse(D)),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4120]) ).

cnf(c_4122,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),inverse(C))))),inverse(D))),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4121]) ).

cnf(c_4123,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,multiply(C,multiply(inverse(B),inverse(C)))),inverse(D)))),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4122]) ).

cnf(c_4124,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(multiply(C,multiply(inverse(B),inverse(C))),inverse(D))))),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4123]) ).

cnf(c_4125,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(multiply(inverse(B),inverse(C)),inverse(D)))))),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4124]) ).

cnf(c_4126,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(D))))))),inverse(inverse(C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4125]) ).

cnf(c_4127,plain,
    multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(D))))))),C),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4126]) ).

cnf(c_4128,plain,
    multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(D)))))),C)),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4127]) ).

cnf(c_4129,plain,
    multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(D))))),C))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4128]) ).

cnf(c_4130,plain,
    multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(D)))),C)))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4129]) ).

cnf(c_4131,plain,
    multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),inverse(D))),C))))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4130]) ).

cnf(c_4132,plain,
    multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),inverse(D)),C)))))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4131]) ).

cnf(c_4133,plain,
    multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),C))))))),inverse(inverse(D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4132]) ).

cnf(c_4134,plain,
    multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),C))))))),D),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4133]) ).

cnf(c_4135,plain,
    multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),C)))))),D)),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4134]) ).

cnf(c_4136,plain,
    multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),C))))),D))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4135]) ).

cnf(c_4137,plain,
    multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),C)))),D)))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4136]) ).

cnf(c_4138,plain,
    multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),C))),D))))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4137]) ).

cnf(c_4139,plain,
    multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),multiply(inverse(D),C)),D)))))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4138]) ).

cnf(c_4140,plain,
    multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(multiply(inverse(D),C),D))))))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4139]) ).

cnf(c_4141,plain,
    multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),inverse(inverse(B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4140]) ).

cnf(c_4142,plain,
    multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))))),B),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4141]) ).

cnf(c_4143,plain,
    multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,D))))))),B)),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4142]) ).

cnf(c_4144,plain,
    multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,D)))))),B))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4143]) ).

cnf(c_4145,plain,
    multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,D))))),B)))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4144]) ).

cnf(c_4146,plain,
    multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,D)))),B))))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4145]) ).

cnf(c_4147,plain,
    multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),multiply(inverse(D),multiply(C,D))),B)))))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4146]) ).

cnf(c_4148,plain,
    multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(multiply(inverse(D),multiply(C,D)),B))))))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4147]) ).

cnf(c_4149,plain,
    multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(multiply(C,D),B)))))))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4148]) ).

cnf(c_4150,plain,
    multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))),inverse(A)),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4149]) ).

cnf(c_4151,plain,
    multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B)))))))),inverse(A))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4150]) ).

cnf(c_4152,plain,
    multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))),inverse(A)))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4151]) ).

cnf(c_4153,plain,
    multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B)))))),inverse(A))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4152]) ).

cnf(c_4154,plain,
    multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))),inverse(A)))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4153]) ).

cnf(c_4155,plain,
    multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B)))),inverse(A))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4154]) ).

cnf(c_4156,plain,
    multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(multiply(inverse(D),multiply(C,multiply(D,B))),inverse(A)))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4155]) ).

cnf(c_4157,plain,
    multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(multiply(C,multiply(D,B)),inverse(A))))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4156]) ).

cnf(c_4158,plain,
    multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(multiply(D,B),inverse(A)))))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4157]) ).

cnf(c_4159,plain,
    multiply(multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(B,inverse(A))))))))))),A) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4158]) ).

cnf(c_4160,plain,
    multiply(inverse(D),multiply(multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(B,inverse(A)))))))))),A)) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4159]) ).

cnf(c_4161,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(B,inverse(A))))))))),A))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4160]) ).

cnf(c_4162,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(B,inverse(A)))))))),A)))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4161]) ).

cnf(c_4163,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(B,inverse(A))))))),A))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4162]) ).

cnf(c_4164,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(B,inverse(A)))))),A)))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4163]) ).

cnf(c_4165,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(multiply(inverse(D),multiply(C,multiply(D,multiply(B,inverse(A))))),A))))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4164]) ).

cnf(c_4166,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(multiply(C,multiply(D,multiply(B,inverse(A)))),A)))))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4165]) ).

cnf(c_4167,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(multiply(D,multiply(B,inverse(A))),A))))))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4166]) ).

cnf(c_4168,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(multiply(B,inverse(A)),A)))))))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4167]) ).

cnf(c_4169,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(B,multiply(inverse(A),A))))))))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4168]) ).

cnf(c_4170,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,multiply(B,identity)))))))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_2,c_4169]) ).

cnf(c_4171,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_32,c_4170]) ).

cnf(c_4172,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(multiply(inverse(multiply(inverse(C),multiply(B,C))),inverse(inverse(B))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4171]) ).

cnf(c_4173,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(multiply(multiply(inverse(multiply(B,C)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4172]) ).

cnf(c_4174,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(multiply(multiply(multiply(inverse(C),inverse(B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_89,c_4173]) ).

cnf(c_4175,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(multiply(multiply(multiply(inverse(C),inverse(B)),C),inverse(inverse(B))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4174]) ).

cnf(c_4176,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(multiply(multiply(inverse(C),multiply(inverse(B),C)),inverse(inverse(B))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4175]) ).

cnf(c_4177,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(multiply(multiply(inverse(C),multiply(inverse(B),C)),B),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_57,c_4176]) ).

cnf(c_4178,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(multiply(inverse(C),multiply(multiply(inverse(B),C),B)),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4177]) ).

cnf(c_4179,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(multiply(inverse(C),multiply(inverse(B),multiply(C,B))),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4178]) ).

cnf(c_4180,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(inverse(C),multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D)))))))),
    inference(paramod,[status(thm)],[c_3,c_4179]) ).

cnf(c_4181,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(inverse(C),multiply(inverse(B),multiply(multiply(C,B),multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))))),
    inference(paramod,[status(thm)],[c_3,c_4180]) ).

cnf(c_4182,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = inverse(multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D)))))))))),
    inference(paramod,[status(thm)],[c_3,c_4181]) ).

cnf(c_4183,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4182]) ).

cnf(c_4184,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(multiply(C,multiply(B,multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D)))))))),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4183]) ).

cnf(c_4185,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(inverse(multiply(B,multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))))),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4184]) ).

cnf(c_4186,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(inverse(multiply(inverse(D),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D)))))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4185]) ).

cnf(c_4187,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,D))))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4186]) ).

cnf(c_4188,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(inverse(C),multiply(B,multiply(C,D)))),inverse(inverse(B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4187]) ).

cnf(c_4189,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(B,multiply(C,D))),inverse(inverse(C))),inverse(inverse(B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4188]) ).

cnf(c_4190,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(C,D)),inverse(B)),inverse(inverse(C))),inverse(inverse(B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4189]) ).

cnf(c_4191,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),inverse(inverse(C))),inverse(inverse(B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_89,c_4190]) ).

cnf(c_4192,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),inverse(B))),inverse(inverse(C))),inverse(inverse(B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4191]) ).

cnf(c_4193,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),inverse(B))),C),inverse(inverse(B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_57,c_4192]) ).

cnf(c_4194,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),inverse(B)),C)),inverse(inverse(B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4193]) ).

cnf(c_4195,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),C))),inverse(inverse(B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4194]) ).

cnf(c_4196,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),C))),B),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_57,c_4195]) ).

cnf(c_4197,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(inverse(B),C)),B)),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4196]) ).

cnf(c_4198,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(inverse(B),C),B))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4197]) ).

cnf(c_4199,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,B)))),inverse(inverse(D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4198]) ).

cnf(c_4200,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,B)))),D),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_57,c_4199]) ).

cnf(c_4201,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(inverse(B),multiply(C,B))),D)),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4200]) ).

cnf(c_4202,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(inverse(B),multiply(C,B)),D))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4201]) ).

cnf(c_4203,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(multiply(C,B),D)))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4202]) ).

cnf(c_4204,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,D))))),inverse(B)),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4203]) ).

cnf(c_4205,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,D)))),inverse(B))),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4204]) ).

cnf(c_4206,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(inverse(B),multiply(C,multiply(B,D))),inverse(B)))),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4205]) ).

cnf(c_4207,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(multiply(C,multiply(B,D)),inverse(B))))),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4206]) ).

cnf(c_4208,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(multiply(B,D),inverse(B)))))),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4207]) ).

cnf(c_4209,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,inverse(B))))))),inverse(C)),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4208]) ).

cnf(c_4210,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,inverse(B)))))),inverse(C))),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4209]) ).

cnf(c_4211,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(inverse(B),multiply(C,multiply(B,multiply(D,inverse(B))))),inverse(C)))),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4210]) ).

cnf(c_4212,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(multiply(C,multiply(B,multiply(D,inverse(B)))),inverse(C))))),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4211]) ).

cnf(c_4213,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(multiply(B,multiply(D,inverse(B))),inverse(C)))))),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4212]) ).

cnf(c_4214,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(multiply(D,inverse(B)),inverse(C))))))),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4213]) ).

cnf(c_4215,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),inverse(C)))))))),inverse(inverse(B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4214]) ).

cnf(c_4216,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),inverse(C)))))))),B),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_57,c_4215]) ).

cnf(c_4217,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(D),multiply(multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),inverse(C))))))),B)),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4216]) ).

cnf(c_4218,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(D),multiply(inverse(C),multiply(multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),inverse(C)))))),B))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4217]) ).

cnf(c_4219,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(multiply(C,multiply(B,multiply(D,multiply(inverse(B),inverse(C))))),B)))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4218]) ).

cnf(c_4220,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(multiply(B,multiply(D,multiply(inverse(B),inverse(C)))),B))))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4219]) ).

cnf(c_4221,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(multiply(D,multiply(inverse(B),inverse(C))),B)))))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4220]) ).

cnf(c_4222,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(multiply(inverse(B),inverse(C)),B))))))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4221]) ).

cnf(c_4223,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),multiply(inverse(C),B)))))))),inverse(inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4222]) ).

cnf(c_4224,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),multiply(inverse(C),B)))))))),C),
    inference(paramod,[status(thm)],[c_57,c_4223]) ).

cnf(c_4225,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(D),multiply(multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),multiply(inverse(C),B))))))),C)),
    inference(paramod,[status(thm)],[c_3,c_4224]) ).

cnf(c_4226,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(D),multiply(inverse(C),multiply(multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),multiply(inverse(C),B)))))),C))),
    inference(paramod,[status(thm)],[c_3,c_4225]) ).

cnf(c_4227,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(multiply(C,multiply(B,multiply(D,multiply(inverse(B),multiply(inverse(C),B))))),C)))),
    inference(paramod,[status(thm)],[c_3,c_4226]) ).

cnf(c_4228,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(multiply(B,multiply(D,multiply(inverse(B),multiply(inverse(C),B)))),C))))),
    inference(paramod,[status(thm)],[c_3,c_4227]) ).

cnf(c_4229,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(multiply(D,multiply(inverse(B),multiply(inverse(C),B))),C)))))),
    inference(paramod,[status(thm)],[c_3,c_4228]) ).

cnf(c_4230,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(multiply(inverse(B),multiply(inverse(C),B)),C))))))),
    inference(paramod,[status(thm)],[c_3,c_4229]) ).

cnf(c_4231,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),multiply(multiply(inverse(C),B),C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4230]) ).

cnf(c_4232,plain,
    multiply(inverse(D),multiply(inverse(C),multiply(D,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(D),multiply(C,multiply(D,B))))))))) = multiply(inverse(D),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(D,multiply(inverse(B),multiply(inverse(C),multiply(B,C))))))))),
    inference(paramod,[status(thm)],[c_3,c_4231]) ).

cnf(c_90,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,B))))))))) = multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,C))))))))),
    inference(copy,[status(thm)],[c_4232]) ).

cnf(c_4233,plain,
    multiply(A,multiply(multiply(inverse(multiply(A,B)),inverse(inverse(B))),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = identity,
    inference(paramod,[status(thm)],[c_89,c_88]) ).

cnf(c_4234,plain,
    multiply(A,multiply(multiply(multiply(inverse(B),inverse(A)),inverse(inverse(B))),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = identity,
    inference(paramod,[status(thm)],[c_89,c_4233]) ).

cnf(c_4235,plain,
    multiply(A,multiply(multiply(multiply(inverse(B),inverse(A)),B),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = identity,
    inference(paramod,[status(thm)],[c_57,c_4234]) ).

cnf(c_4236,plain,
    multiply(A,multiply(multiply(inverse(B),multiply(inverse(A),B)),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = identity,
    inference(paramod,[status(thm)],[c_3,c_4235]) ).

cnf(c_4237,plain,
    multiply(A,multiply(inverse(B),multiply(multiply(inverse(A),B),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))) = identity,
    inference(paramod,[status(thm)],[c_3,c_4236]) ).

cnf(c_91,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,B))))))) = identity,
    inference(paramod,[status(thm)],[c_3,c_4237]) ).

cnf(c_4238,plain,
    multiply(inverse(A),multiply(multiply(inverse(multiply(inverse(A),B)),inverse(inverse(B))),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = C,
    inference(paramod,[status(thm)],[c_89,c_85]) ).

cnf(c_4239,plain,
    multiply(inverse(A),multiply(multiply(multiply(inverse(B),inverse(inverse(A))),inverse(inverse(B))),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = C,
    inference(paramod,[status(thm)],[c_89,c_4238]) ).

cnf(c_4240,plain,
    multiply(inverse(A),multiply(multiply(multiply(inverse(B),A),inverse(inverse(B))),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = C,
    inference(paramod,[status(thm)],[c_57,c_4239]) ).

cnf(c_4241,plain,
    multiply(inverse(A),multiply(multiply(multiply(inverse(B),A),B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = C,
    inference(paramod,[status(thm)],[c_57,c_4240]) ).

cnf(c_4242,plain,
    multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = C,
    inference(paramod,[status(thm)],[c_3,c_4241]) ).

cnf(c_4243,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(A,B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C))))))) = C,
    inference(paramod,[status(thm)],[c_3,c_4242]) ).

cnf(c_94,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))))) = C,
    inference(paramod,[status(thm)],[c_3,c_4243]) ).

cnf(c_4244,plain,
    multiply(multiply(inverse(multiply(inverse(B),multiply(A,B))),inverse(inverse(A))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_89,c_62]) ).

cnf(c_4245,plain,
    multiply(multiply(multiply(inverse(multiply(A,B)),inverse(inverse(B))),inverse(inverse(A))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_89,c_4244]) ).

cnf(c_4246,plain,
    multiply(multiply(multiply(multiply(inverse(B),inverse(A)),inverse(inverse(B))),inverse(inverse(A))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_89,c_4245]) ).

cnf(c_4247,plain,
    multiply(multiply(multiply(multiply(inverse(B),inverse(A)),B),inverse(inverse(A))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_57,c_4246]) ).

cnf(c_4248,plain,
    multiply(multiply(multiply(inverse(B),multiply(inverse(A),B)),inverse(inverse(A))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4247]) ).

cnf(c_4249,plain,
    multiply(multiply(multiply(inverse(B),multiply(inverse(A),B)),A),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_57,c_4248]) ).

cnf(c_4250,plain,
    multiply(multiply(inverse(B),multiply(multiply(inverse(A),B),A)),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4249]) ).

cnf(c_4251,plain,
    multiply(multiply(inverse(B),multiply(inverse(A),multiply(B,A))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4250]) ).

cnf(c_4252,plain,
    multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4251]) ).

cnf(c_4253,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(multiply(B,A),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4252]) ).

cnf(c_4254,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,C)))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4253]) ).

cnf(c_4255,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(multiply(inverse(multiply(inverse(C),multiply(B,C))),inverse(inverse(B))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_89,c_4254]) ).

cnf(c_4256,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(multiply(multiply(inverse(multiply(B,C)),inverse(inverse(C))),inverse(inverse(B))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_89,c_4255]) ).

cnf(c_4257,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(multiply(multiply(multiply(inverse(C),inverse(B)),inverse(inverse(C))),inverse(inverse(B))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_89,c_4256]) ).

cnf(c_4258,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(multiply(multiply(multiply(inverse(C),inverse(B)),C),inverse(inverse(B))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_57,c_4257]) ).

cnf(c_4259,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(multiply(multiply(inverse(C),multiply(inverse(B),C)),inverse(inverse(B))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4258]) ).

cnf(c_4260,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(multiply(multiply(inverse(C),multiply(inverse(B),C)),B),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_57,c_4259]) ).

cnf(c_4261,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(multiply(inverse(C),multiply(multiply(inverse(B),C),B)),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4260]) ).

cnf(c_4262,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(multiply(inverse(C),multiply(inverse(B),multiply(C,B))),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4261]) ).

cnf(c_4263,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(inverse(C),multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(B),multiply(inverse(C),B)))))),
    inference(paramod,[status(thm)],[c_3,c_4262]) ).

cnf(c_4264,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(multiply(C,B),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))))),
    inference(paramod,[status(thm)],[c_3,c_4263]) ).

cnf(c_4265,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))))) = multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(C),B)))))))),
    inference(paramod,[status(thm)],[c_3,c_4264]) ).

cnf(c_99,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,C)))))))),
    inference(copy,[status(thm)],[c_4265]) ).

cnf(c_4266,plain,
    multiply(inverse(A),identity) = multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_91,c_9]) ).

cnf(c_4267,plain,
    inverse(A) = multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_32,c_4266]) ).

cnf(c_109,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))) = inverse(B),
    inference(copy,[status(thm)],[c_4267]) ).

cnf(c_4268,plain,
    multiply(inverse(inverse(A)),inverse(B)) = multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,A))))),
    inference(paramod,[status(thm)],[c_109,c_9]) ).

cnf(c_4269,plain,
    multiply(A,inverse(B)) = multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,A))))),
    inference(paramod,[status(thm)],[c_57,c_4268]) ).

cnf(c_115,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,B))))) = multiply(B,inverse(A)),
    inference(copy,[status(thm)],[c_4269]) ).

cnf(c_4270,plain,
    multiply(inverse(inverse(A)),multiply(B,inverse(A))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),
    inference(paramod,[status(thm)],[c_115,c_9]) ).

cnf(c_4271,plain,
    multiply(A,multiply(B,inverse(A))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),
    inference(paramod,[status(thm)],[c_57,c_4270]) ).

cnf(c_121,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,A)))) = multiply(B,multiply(A,inverse(B))),
    inference(copy,[status(thm)],[c_4271]) ).

cnf(c_4272,plain,
    multiply(multiply(A,multiply(B,inverse(A))),C) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),C)),
    inference(paramod,[status(thm)],[c_121,c_3]) ).

cnf(c_4273,plain,
    multiply(A,multiply(multiply(B,inverse(A)),C)) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4272]) ).

cnf(c_4274,plain,
    multiply(A,multiply(B,multiply(inverse(A),C))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4273]) ).

cnf(c_4275,plain,
    multiply(A,multiply(B,multiply(inverse(A),C))) = multiply(B,multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),C))),
    inference(paramod,[status(thm)],[c_3,c_4274]) ).

cnf(c_4276,plain,
    multiply(A,multiply(B,multiply(inverse(A),C))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(multiply(A,B),C)))),
    inference(paramod,[status(thm)],[c_3,c_4275]) ).

cnf(c_4277,plain,
    multiply(A,multiply(B,multiply(inverse(A),C))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4276]) ).

cnf(c_126,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,C))))) = multiply(B,multiply(A,multiply(inverse(B),C))),
    inference(copy,[status(thm)],[c_4277]) ).

cnf(c_4278,plain,
    multiply(A,multiply(inverse(multiply(B,C)),multiply(inverse(A),multiply(B,multiply(C,A))))) = multiply(multiply(B,C),multiply(A,inverse(multiply(B,C)))),
    inference(paramod,[status(thm)],[c_3,c_121]) ).

cnf(c_4279,plain,
    multiply(A,multiply(multiply(inverse(C),inverse(B)),multiply(inverse(A),multiply(B,multiply(C,A))))) = multiply(multiply(B,C),multiply(A,inverse(multiply(B,C)))),
    inference(paramod,[status(thm)],[c_89,c_4278]) ).

cnf(c_4280,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,A)))))) = multiply(multiply(B,C),multiply(A,inverse(multiply(B,C)))),
    inference(paramod,[status(thm)],[c_3,c_4279]) ).

cnf(c_4281,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,A)))))) = multiply(multiply(B,C),multiply(A,multiply(inverse(C),inverse(B)))),
    inference(paramod,[status(thm)],[c_89,c_4280]) ).

cnf(c_128,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(B,A)))))) = multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4281]) ).

cnf(c_4282,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),A)))) = multiply(inverse(B),multiply(A,inverse(inverse(B)))),
    inference(paramod,[status(thm)],[c_57,c_121]) ).

cnf(c_130,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),A)))) = multiply(inverse(B),multiply(A,B)),
    inference(paramod,[status(thm)],[c_57,c_4282]) ).

cnf(c_131,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,inverse(A))))) = multiply(B,multiply(inverse(A),inverse(B))),
    inference(paramod,[status(thm)],[c_57,c_121]) ).

cnf(c_4283,plain,
    multiply(A,multiply(B,multiply(inverse(A),inverse(B)))) = multiply(inverse(B),multiply(inverse(inverse(A)),multiply(B,inverse(A)))),
    inference(paramod,[status(thm)],[c_121,c_53]) ).

cnf(c_4284,plain,
    multiply(A,multiply(B,multiply(inverse(A),inverse(B)))) = multiply(inverse(B),multiply(A,multiply(B,inverse(A)))),
    inference(paramod,[status(thm)],[c_57,c_4283]) ).

cnf(c_132,plain,
    multiply(inverse(A),multiply(B,multiply(A,inverse(B)))) = multiply(B,multiply(A,multiply(inverse(B),inverse(A)))),
    inference(copy,[status(thm)],[c_4284]) ).

cnf(c_4285,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(A,B)))),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_121,c_121]) ).

cnf(c_4286,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(multiply(inverse(multiply(inverse(B),multiply(A,B))),inverse(inverse(A))),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_89,c_4285]) ).

cnf(c_4287,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(multiply(multiply(inverse(multiply(A,B)),inverse(inverse(B))),inverse(inverse(A))),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_89,c_4286]) ).

cnf(c_4288,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(multiply(multiply(multiply(inverse(B),inverse(A)),inverse(inverse(B))),inverse(inverse(A))),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_89,c_4287]) ).

cnf(c_4289,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(multiply(multiply(multiply(inverse(B),inverse(A)),B),inverse(inverse(A))),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_57,c_4288]) ).

cnf(c_4290,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(multiply(multiply(inverse(B),multiply(inverse(A),B)),inverse(inverse(A))),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4289]) ).

cnf(c_4291,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(multiply(multiply(inverse(B),multiply(inverse(A),B)),A),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_57,c_4290]) ).

cnf(c_4292,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(multiply(inverse(B),multiply(multiply(inverse(A),B),A)),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4291]) ).

cnf(c_4293,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(A),multiply(B,A))),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4292]) ).

cnf(c_4294,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(A,multiply(B,inverse(A))))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4293]) ).

cnf(c_4295,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(multiply(B,A),multiply(A,multiply(B,inverse(A)))))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4294]) ).

cnf(c_4296,plain,
    multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(B,inverse(A))))))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4295]) ).

cnf(c_4297,plain,
    multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(B,inverse(A)))))))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4296]) ).

cnf(c_4298,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(A,B),multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(B,inverse(A))))))))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4297]) ).

cnf(c_4299,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(B,inverse(A)))))))))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_3,c_4298]) ).

cnf(c_4300,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(B,inverse(A)))))))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_53,c_4299]) ).

cnf(c_4301,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,inverse(A)))))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_126,c_4300]) ).

cnf(c_4302,plain,
    multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(A,multiply(B,inverse(A)))))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_9,c_4301]) ).

cnf(c_4303,plain,
    multiply(inverse(B),multiply(A,multiply(B,inverse(A)))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),multiply(A,B))),inverse(B))),
    inference(paramod,[status(thm)],[c_9,c_4302]) ).

cnf(c_4304,plain,
    multiply(inverse(B),multiply(A,multiply(B,inverse(A)))) = multiply(B,multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),inverse(B)))),
    inference(paramod,[status(thm)],[c_3,c_4303]) ).

cnf(c_4305,plain,
    multiply(inverse(B),multiply(A,multiply(B,inverse(A)))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(multiply(A,B),inverse(B))))),
    inference(paramod,[status(thm)],[c_3,c_4304]) ).

cnf(c_4306,plain,
    multiply(inverse(B),multiply(A,multiply(B,inverse(A)))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,inverse(B)))))),
    inference(paramod,[status(thm)],[c_3,c_4305]) ).

cnf(c_4307,plain,
    multiply(inverse(B),multiply(A,multiply(B,inverse(A)))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,identity)))),
    inference(paramod,[status(thm)],[c_49,c_4306]) ).

cnf(c_133,plain,
    multiply(inverse(A),multiply(B,multiply(A,inverse(B)))) = multiply(A,multiply(inverse(B),multiply(inverse(A),B))),
    inference(paramod,[status(thm)],[c_32,c_4307]) ).

cnf(c_136,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),B))) = multiply(B,multiply(A,multiply(inverse(B),inverse(A)))),
    inference(paramod,[status(thm)],[c_133,c_132]) ).

cnf(c_137,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(A),multiply(inverse(B),A)))) = multiply(B,multiply(inverse(A),inverse(B))),
    inference(paramod,[status(thm)],[c_133,c_131]) ).

cnf(c_149,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),C))))))) = multiply(inverse(B),C),
    inference(paramod,[status(thm)],[c_53,c_94]) ).

cnf(c_4308,plain,
    multiply(inverse(A),multiply(inverse(inverse(B)),multiply(A,multiply(inverse(B),multiply(A,multiply(inverse(inverse(B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(inverse(inverse(B)),multiply(A,multiply(inverse(B),B)))))))))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_90,c_94]) ).

cnf(c_4309,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(inverse(inverse(B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(inverse(inverse(B)),multiply(A,multiply(inverse(B),B)))))))))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_57,c_4308]) ).

cnf(c_4310,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(inverse(inverse(B)),multiply(A,multiply(inverse(B),B)))))))))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_57,c_4309]) ).

cnf(c_4311,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),B)))))))))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_57,c_4310]) ).

cnf(c_4312,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,identity))))))))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_2,c_4311]) ).

cnf(c_4313,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_32,c_4312]) ).

cnf(c_4314,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(B,multiply(A,inverse(B))))))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_121,c_4313]) ).

cnf(c_4315,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(A),multiply(A,inverse(B))))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_9,c_4314]) ).

cnf(c_4316,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,inverse(B))))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_9,c_4315]) ).

cnf(c_4317,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,identity))))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_49,c_4316]) ).

cnf(c_4318,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),A)))) = multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(A),multiply(B,A)))))),
    inference(paramod,[status(thm)],[c_32,c_4317]) ).

cnf(c_4319,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),A)))) = multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,A)))),
    inference(paramod,[status(thm)],[c_53,c_4318]) ).

cnf(c_151,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),A)))) = multiply(B,multiply(A,inverse(B))),
    inference(paramod,[status(thm)],[c_121,c_4319]) ).

cnf(c_4320,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(C,A)))))))))))))) = multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_90,c_94]) ).

cnf(c_153,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,C)))))))) = multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_149,c_4320]) ).

cnf(c_4321,plain,
    multiply(multiply(A,multiply(inverse(B),multiply(inverse(A),B))),C) = multiply(inverse(A),multiply(multiply(B,multiply(A,inverse(B))),C)),
    inference(paramod,[status(thm)],[c_133,c_3]) ).

cnf(c_4322,plain,
    multiply(A,multiply(multiply(inverse(B),multiply(inverse(A),B)),C)) = multiply(inverse(A),multiply(multiply(B,multiply(A,inverse(B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4321]) ).

cnf(c_4323,plain,
    multiply(A,multiply(inverse(B),multiply(multiply(inverse(A),B),C))) = multiply(inverse(A),multiply(multiply(B,multiply(A,inverse(B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4322]) ).

cnf(c_4324,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))) = multiply(inverse(A),multiply(multiply(B,multiply(A,inverse(B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4323]) ).

cnf(c_4325,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))) = multiply(inverse(A),multiply(B,multiply(multiply(A,inverse(B)),C))),
    inference(paramod,[status(thm)],[c_3,c_4324]) ).

cnf(c_4326,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))) = multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),C)))),
    inference(paramod,[status(thm)],[c_3,c_4325]) ).

cnf(c_160,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),C)))) = multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))),
    inference(copy,[status(thm)],[c_4326]) ).

cnf(c_4327,plain,
    multiply(inverse(multiply(A,B)),multiply(C,multiply(A,multiply(B,inverse(C))))) = multiply(multiply(A,B),multiply(inverse(C),multiply(inverse(multiply(A,B)),C))),
    inference(paramod,[status(thm)],[c_3,c_133]) ).

cnf(c_4328,plain,
    multiply(multiply(inverse(B),inverse(A)),multiply(C,multiply(A,multiply(B,inverse(C))))) = multiply(multiply(A,B),multiply(inverse(C),multiply(inverse(multiply(A,B)),C))),
    inference(paramod,[status(thm)],[c_89,c_4327]) ).

cnf(c_4329,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(A,multiply(B,inverse(C)))))) = multiply(multiply(A,B),multiply(inverse(C),multiply(inverse(multiply(A,B)),C))),
    inference(paramod,[status(thm)],[c_3,c_4328]) ).

cnf(c_4330,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(A,multiply(B,inverse(C)))))) = multiply(multiply(A,B),multiply(inverse(C),multiply(multiply(inverse(B),inverse(A)),C))),
    inference(paramod,[status(thm)],[c_89,c_4329]) ).

cnf(c_4331,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(A,multiply(B,inverse(C)))))) = multiply(multiply(A,B),multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),C)))),
    inference(paramod,[status(thm)],[c_3,c_4330]) ).

cnf(c_161,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(B,multiply(A,inverse(C)))))) = multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),C))))),
    inference(paramod,[status(thm)],[c_3,c_4331]) ).

cnf(c_4332,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,inverse(multiply(B,C)))))) = multiply(A,multiply(inverse(multiply(B,C)),multiply(inverse(A),multiply(B,C)))),
    inference(paramod,[status(thm)],[c_3,c_133]) ).

cnf(c_4333,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,C)),multiply(inverse(A),multiply(B,C)))),
    inference(paramod,[status(thm)],[c_89,c_4332]) ).

cnf(c_4334,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(B)))))) = multiply(A,multiply(multiply(inverse(C),inverse(B)),multiply(inverse(A),multiply(B,C)))),
    inference(paramod,[status(thm)],[c_89,c_4333]) ).

cnf(c_162,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(B)))))) = multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4334]) ).

cnf(c_4335,plain,
    multiply(inverse(inverse(A)),multiply(A,multiply(inverse(B),multiply(inverse(A),B)))) = multiply(B,multiply(A,inverse(B))),
    inference(paramod,[status(thm)],[c_133,c_9]) ).

cnf(c_163,plain,
    multiply(A,multiply(A,multiply(inverse(B),multiply(inverse(A),B)))) = multiply(B,multiply(A,inverse(B))),
    inference(paramod,[status(thm)],[c_57,c_4335]) ).

cnf(c_4336,plain,
    multiply(A,multiply(B,multiply(inverse(A),inverse(B)))) = multiply(inverse(A),multiply(inverse(B),multiply(inverse(inverse(A)),B))),
    inference(paramod,[status(thm)],[c_57,c_133]) ).

cnf(c_4337,plain,
    multiply(A,multiply(B,multiply(inverse(A),inverse(B)))) = multiply(inverse(A),multiply(inverse(B),multiply(A,B))),
    inference(paramod,[status(thm)],[c_57,c_4336]) ).

cnf(c_164,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,B))) = multiply(A,multiply(B,multiply(inverse(A),inverse(B)))),
    inference(copy,[status(thm)],[c_4337]) ).

cnf(c_4338,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,A)))) = multiply(B,multiply(A,inverse(B))),
    inference(paramod,[status(thm)],[c_160,c_151]) ).

cnf(c_167,plain,
    multiply(A,multiply(B,multiply(A,multiply(inverse(B),inverse(A))))) = multiply(B,multiply(A,inverse(B))),
    inference(paramod,[status(thm)],[c_164,c_4338]) ).

cnf(c_170,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(B,multiply(C,multiply(inverse(B),inverse(C))))))))) = multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(A,B)))))),
    inference(paramod,[status(thm)],[c_164,c_153]) ).

cnf(c_174,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(B),multiply(A,multiply(C,multiply(inverse(A),inverse(C))))))))),
    inference(paramod,[status(thm)],[c_164,c_99]) ).

cnf(c_175,plain,
    multiply(inverse(b),multiply(inverse(c),multiply(b,multiply(c,a)))) != multiply(a,multiply(b,multiply(c,multiply(inverse(b),inverse(c))))),
    inference(paramod,[status(thm)],[c_164,c_8]) ).

cnf(c_4339,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),inverse(B)))),C) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),A)),C)),
    inference(paramod,[status(thm)],[c_136,c_3]) ).

cnf(c_4340,plain,
    multiply(A,multiply(multiply(B,multiply(inverse(A),inverse(B))),C)) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4339]) ).

cnf(c_4341,plain,
    multiply(A,multiply(B,multiply(multiply(inverse(A),inverse(B)),C))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4340]) ).

cnf(c_4342,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4341]) ).

cnf(c_4343,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))) = multiply(B,multiply(inverse(A),multiply(multiply(inverse(B),A),C))),
    inference(paramod,[status(thm)],[c_3,c_4342]) ).

cnf(c_4344,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,C)))),
    inference(paramod,[status(thm)],[c_3,c_4343]) ).

cnf(c_177,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))) = multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),C)))),
    inference(copy,[status(thm)],[c_4344]) ).

cnf(c_4345,plain,
    multiply(A,multiply(multiply(B,C),multiply(inverse(A),inverse(multiply(B,C))))) = multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(multiply(B,C)),A)))),
    inference(paramod,[status(thm)],[c_136,c_3]) ).

cnf(c_4346,plain,
    multiply(A,multiply(multiply(B,C),multiply(inverse(A),multiply(inverse(C),inverse(B))))) = multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(multiply(B,C)),A)))),
    inference(paramod,[status(thm)],[c_89,c_4345]) ).

cnf(c_4347,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B)))))) = multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(multiply(B,C)),A)))),
    inference(paramod,[status(thm)],[c_3,c_4346]) ).

cnf(c_4348,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B)))))) = multiply(B,multiply(C,multiply(inverse(A),multiply(multiply(inverse(C),inverse(B)),A)))),
    inference(paramod,[status(thm)],[c_89,c_4347]) ).

cnf(c_4349,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B)))))) = multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_3,c_4348]) ).

cnf(c_178,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),C))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A)))))),
    inference(copy,[status(thm)],[c_4349]) ).

cnf(c_4350,plain,
    multiply(A,multiply(inverse(multiply(B,C)),multiply(inverse(A),multiply(B,C)))) = multiply(B,multiply(C,multiply(A,multiply(inverse(multiply(B,C)),inverse(A))))),
    inference(paramod,[status(thm)],[c_136,c_3]) ).

cnf(c_4351,plain,
    multiply(A,multiply(multiply(inverse(C),inverse(B)),multiply(inverse(A),multiply(B,C)))) = multiply(B,multiply(C,multiply(A,multiply(inverse(multiply(B,C)),inverse(A))))),
    inference(paramod,[status(thm)],[c_89,c_4350]) ).

cnf(c_4352,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))) = multiply(B,multiply(C,multiply(A,multiply(inverse(multiply(B,C)),inverse(A))))),
    inference(paramod,[status(thm)],[c_3,c_4351]) ).

cnf(c_4353,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))) = multiply(B,multiply(C,multiply(A,multiply(multiply(inverse(C),inverse(B)),inverse(A))))),
    inference(paramod,[status(thm)],[c_89,c_4352]) ).

cnf(c_180,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(C,B))))) = multiply(C,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4353]) ).

cnf(c_4354,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),inverse(A))))) = multiply(inverse(B),multiply(inverse(A),B)),
    inference(paramod,[status(thm)],[c_136,c_9]) ).

cnf(c_181,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,inverse(A))))) = multiply(inverse(B),multiply(inverse(A),B)),
    inference(paramod,[status(thm)],[c_160,c_4354]) ).

cnf(c_4355,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),inverse(B)))),C) = multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),C)),
    inference(paramod,[status(thm)],[c_164,c_3]) ).

cnf(c_4356,plain,
    multiply(A,multiply(multiply(B,multiply(inverse(A),inverse(B))),C)) = multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4355]) ).

cnf(c_4357,plain,
    multiply(A,multiply(B,multiply(multiply(inverse(A),inverse(B)),C))) = multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4356]) ).

cnf(c_4358,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))) = multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4357]) ).

cnf(c_4359,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))) = multiply(inverse(A),multiply(inverse(B),multiply(multiply(A,B),C))),
    inference(paramod,[status(thm)],[c_3,c_4358]) ).

cnf(c_4360,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))) = multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C)))),
    inference(paramod,[status(thm)],[c_3,c_4359]) ).

cnf(c_183,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C)))) = multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),
    inference(copy,[status(thm)],[c_4360]) ).

cnf(c_4361,plain,
    multiply(inverse(multiply(A,B)),multiply(inverse(C),multiply(A,multiply(B,C)))) = multiply(multiply(A,B),multiply(C,multiply(inverse(multiply(A,B)),inverse(C)))),
    inference(paramod,[status(thm)],[c_3,c_164]) ).

cnf(c_4362,plain,
    multiply(multiply(inverse(B),inverse(A)),multiply(inverse(C),multiply(A,multiply(B,C)))) = multiply(multiply(A,B),multiply(C,multiply(inverse(multiply(A,B)),inverse(C)))),
    inference(paramod,[status(thm)],[c_89,c_4361]) ).

cnf(c_4363,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))) = multiply(multiply(A,B),multiply(C,multiply(inverse(multiply(A,B)),inverse(C)))),
    inference(paramod,[status(thm)],[c_3,c_4362]) ).

cnf(c_4364,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))) = multiply(multiply(A,B),multiply(C,multiply(multiply(inverse(B),inverse(A)),inverse(C)))),
    inference(paramod,[status(thm)],[c_89,c_4363]) ).

cnf(c_4365,plain,
    multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))) = multiply(multiply(A,B),multiply(C,multiply(inverse(B),multiply(inverse(A),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4364]) ).

cnf(c_184,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,C))))) = multiply(B,multiply(A,multiply(C,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_3,c_4365]) ).

cnf(c_4366,plain,
    multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(A,multiply(B,C)))) = multiply(A,multiply(B,multiply(C,multiply(inverse(A),inverse(multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_164]) ).

cnf(c_4367,plain,
    multiply(inverse(A),multiply(multiply(inverse(C),inverse(B)),multiply(A,multiply(B,C)))) = multiply(A,multiply(B,multiply(C,multiply(inverse(A),inverse(multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_89,c_4366]) ).

cnf(c_4368,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(B,C))))) = multiply(A,multiply(B,multiply(C,multiply(inverse(A),inverse(multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4367]) ).

cnf(c_185,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(C,B))))) = multiply(A,multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_89,c_4368]) ).

cnf(c_4369,plain,
    multiply(inverse(inverse(A)),multiply(A,multiply(B,multiply(inverse(A),inverse(B))))) = multiply(inverse(B),multiply(A,B)),
    inference(paramod,[status(thm)],[c_164,c_9]) ).

cnf(c_186,plain,
    multiply(A,multiply(A,multiply(B,multiply(inverse(A),inverse(B))))) = multiply(inverse(B),multiply(A,B)),
    inference(paramod,[status(thm)],[c_57,c_4369]) ).

cnf(c_187,plain,
    multiply(b,multiply(c,multiply(inverse(b),multiply(inverse(c),a)))) != multiply(a,multiply(b,multiply(c,multiply(inverse(b),inverse(c))))),
    inference(paramod,[status(thm)],[c_183,c_175]) ).

cnf(c_4370,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(B),multiply(A,multiply(C,multiply(inverse(A),inverse(C))))))))),
    inference(paramod,[status(thm)],[c_183,c_174]) ).

cnf(c_188,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(C,multiply(inverse(A),inverse(C))))))))),
    inference(paramod,[status(thm)],[c_183,c_4370]) ).

cnf(c_192,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(B,multiply(C,multiply(inverse(B),inverse(C))))))))) = multiply(C,multiply(inverse(B),multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(A),B)))))),
    inference(paramod,[status(thm)],[c_183,c_170]) ).

cnf(c_193,plain,
    multiply(A,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),C))))) = multiply(B,multiply(A,multiply(inverse(B),C))),
    inference(paramod,[status(thm)],[c_183,c_126]) ).

cnf(c_4371,plain,
    multiply(multiply(inverse(A),multiply(B,A)),C) = multiply(B,multiply(multiply(A,multiply(inverse(B),multiply(inverse(A),B))),C)),
    inference(paramod,[status(thm)],[c_130,c_3]) ).

cnf(c_4372,plain,
    multiply(inverse(A),multiply(multiply(B,A),C)) = multiply(B,multiply(multiply(A,multiply(inverse(B),multiply(inverse(A),B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4371]) ).

cnf(c_4373,plain,
    multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(B,multiply(multiply(A,multiply(inverse(B),multiply(inverse(A),B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4372]) ).

cnf(c_4374,plain,
    multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(B,multiply(A,multiply(multiply(inverse(B),multiply(inverse(A),B)),C))),
    inference(paramod,[status(thm)],[c_3,c_4373]) ).

cnf(c_4375,plain,
    multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(B,multiply(A,multiply(inverse(B),multiply(multiply(inverse(A),B),C)))),
    inference(paramod,[status(thm)],[c_3,c_4374]) ).

cnf(c_4376,plain,
    multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4375]) ).

cnf(c_195,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,C))))) = multiply(inverse(B),multiply(A,multiply(B,C))),
    inference(copy,[status(thm)],[c_4376]) ).

cnf(c_4377,plain,
    multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(A),multiply(inverse(multiply(inverse(A),B)),A)))) = multiply(inverse(multiply(inverse(A),B)),B),
    inference(paramod,[status(thm)],[c_53,c_130]) ).

cnf(c_4378,plain,
    multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(A),multiply(multiply(inverse(B),inverse(inverse(A))),A)))) = multiply(inverse(multiply(inverse(A),B)),B),
    inference(paramod,[status(thm)],[c_89,c_4377]) ).

cnf(c_4379,plain,
    multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(A),multiply(multiply(inverse(B),A),A)))) = multiply(inverse(multiply(inverse(A),B)),B),
    inference(paramod,[status(thm)],[c_57,c_4378]) ).

cnf(c_4380,plain,
    multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(A),multiply(inverse(B),multiply(A,A))))) = multiply(inverse(multiply(inverse(A),B)),B),
    inference(paramod,[status(thm)],[c_3,c_4379]) ).

cnf(c_4381,plain,
    multiply(A,multiply(inverse(A),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,A)))))) = multiply(inverse(multiply(inverse(A),B)),B),
    inference(paramod,[status(thm)],[c_3,c_4380]) ).

cnf(c_4382,plain,
    multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,A)))) = multiply(inverse(multiply(inverse(A),B)),B),
    inference(paramod,[status(thm)],[c_53,c_4381]) ).

cnf(c_4383,plain,
    multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,A)))) = multiply(multiply(inverse(B),inverse(inverse(A))),B),
    inference(paramod,[status(thm)],[c_89,c_4382]) ).

cnf(c_4384,plain,
    multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,A)))) = multiply(multiply(inverse(B),A),B),
    inference(paramod,[status(thm)],[c_57,c_4383]) ).

cnf(c_198,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,B)))) = multiply(inverse(A),multiply(B,A)),
    inference(paramod,[status(thm)],[c_3,c_4384]) ).

cnf(c_4385,plain,
    multiply(multiply(inverse(A),multiply(B,A)),C) = multiply(A,multiply(multiply(inverse(B),multiply(inverse(A),multiply(B,B))),C)),
    inference(paramod,[status(thm)],[c_198,c_3]) ).

cnf(c_4386,plain,
    multiply(inverse(A),multiply(multiply(B,A),C)) = multiply(A,multiply(multiply(inverse(B),multiply(inverse(A),multiply(B,B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4385]) ).

cnf(c_4387,plain,
    multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(A,multiply(multiply(inverse(B),multiply(inverse(A),multiply(B,B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4386]) ).

cnf(c_4388,plain,
    multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(A,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,B)),C))),
    inference(paramod,[status(thm)],[c_3,c_4387]) ).

cnf(c_4389,plain,
    multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(multiply(B,B),C)))),
    inference(paramod,[status(thm)],[c_3,c_4388]) ).

cnf(c_4390,plain,
    multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4389]) ).

cnf(c_200,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))) = multiply(inverse(A),multiply(B,multiply(A,C))),
    inference(copy,[status(thm)],[c_4390]) ).

cnf(c_4391,plain,
    multiply(inverse(A),multiply(inverse(A),multiply(B,A))) = multiply(inverse(B),multiply(inverse(A),multiply(B,B))),
    inference(paramod,[status(thm)],[c_198,c_9]) ).

cnf(c_203,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,A))) = multiply(inverse(B),multiply(inverse(B),multiply(A,B))),
    inference(copy,[status(thm)],[c_4391]) ).

cnf(c_4392,plain,
    multiply(multiply(A,multiply(B,multiply(C,multiply(inverse(B),inverse(A))))),D) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_128,c_3]) ).

cnf(c_4393,plain,
    multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(B),inverse(A)))),D)) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4392]) ).

cnf(c_4394,plain,
    multiply(A,multiply(B,multiply(multiply(C,multiply(inverse(B),inverse(A))),D))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4393]) ).

cnf(c_4395,plain,
    multiply(A,multiply(B,multiply(C,multiply(multiply(inverse(B),inverse(A)),D)))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4394]) ).

cnf(c_4396,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(A),D))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))),D)),
    inference(paramod,[status(thm)],[c_3,c_4395]) ).

cnf(c_4397,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(A),D))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))),D))),
    inference(paramod,[status(thm)],[c_3,c_4396]) ).

cnf(c_4398,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(A),D))))) = multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(multiply(inverse(C),multiply(A,multiply(B,C))),D)))),
    inference(paramod,[status(thm)],[c_3,c_4397]) ).

cnf(c_4399,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(A),D))))) = multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(multiply(A,multiply(B,C)),D))))),
    inference(paramod,[status(thm)],[c_3,c_4398]) ).

cnf(c_4400,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(A),D))))) = multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(multiply(B,C),D)))))),
    inference(paramod,[status(thm)],[c_3,c_4399]) ).

cnf(c_4401,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(A),D))))) = multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,multiply(C,D))))))),
    inference(paramod,[status(thm)],[c_3,c_4400]) ).

cnf(c_208,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(B,multiply(A,D))))))) = multiply(C,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(C),D))))),
    inference(copy,[status(thm)],[c_4401]) ).

cnf(c_4402,plain,
    inverse(multiply(A,multiply(B,multiply(C,multiply(inverse(B),inverse(A)))))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_128,c_89]) ).

cnf(c_4403,plain,
    multiply(inverse(multiply(B,multiply(C,multiply(inverse(B),inverse(A))))),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4402]) ).

cnf(c_4404,plain,
    multiply(multiply(inverse(multiply(C,multiply(inverse(B),inverse(A)))),inverse(B)),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4403]) ).

cnf(c_4405,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(B),inverse(A))),inverse(C)),inverse(B)),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4404]) ).

cnf(c_4406,plain,
    multiply(multiply(multiply(multiply(inverse(inverse(A)),inverse(inverse(B))),inverse(C)),inverse(B)),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4405]) ).

cnf(c_4407,plain,
    multiply(multiply(multiply(multiply(A,inverse(inverse(B))),inverse(C)),inverse(B)),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_57,c_4406]) ).

cnf(c_4408,plain,
    multiply(multiply(multiply(multiply(A,B),inverse(C)),inverse(B)),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_57,c_4407]) ).

cnf(c_4409,plain,
    multiply(multiply(multiply(A,multiply(B,inverse(C))),inverse(B)),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4408]) ).

cnf(c_4410,plain,
    multiply(multiply(A,multiply(multiply(B,inverse(C)),inverse(B))),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4409]) ).

cnf(c_4411,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(C),inverse(B)))),inverse(A)) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4410]) ).

cnf(c_4412,plain,
    multiply(A,multiply(multiply(B,multiply(inverse(C),inverse(B))),inverse(A))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4411]) ).

cnf(c_4413,plain,
    multiply(A,multiply(B,multiply(multiply(inverse(C),inverse(B)),inverse(A)))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4412]) ).

cnf(c_4414,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4413]) ).

cnf(c_4415,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,C))))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4414]) ).

cnf(c_4416,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(inverse(multiply(inverse(C),multiply(A,multiply(B,C)))),inverse(inverse(A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4415]) ).

cnf(c_4417,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(multiply(inverse(multiply(A,multiply(B,C))),inverse(inverse(C))),inverse(inverse(A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4416]) ).

cnf(c_4418,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(multiply(multiply(inverse(multiply(B,C)),inverse(A)),inverse(inverse(C))),inverse(inverse(A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4417]) ).

cnf(c_4419,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(multiply(multiply(multiply(inverse(C),inverse(B)),inverse(A)),inverse(inverse(C))),inverse(inverse(A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_89,c_4418]) ).

cnf(c_4420,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(multiply(multiply(inverse(C),multiply(inverse(B),inverse(A))),inverse(inverse(C))),inverse(inverse(A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4419]) ).

cnf(c_4421,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(multiply(multiply(inverse(C),multiply(inverse(B),inverse(A))),C),inverse(inverse(A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_57,c_4420]) ).

cnf(c_4422,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(multiply(inverse(C),multiply(multiply(inverse(B),inverse(A)),C)),inverse(inverse(A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4421]) ).

cnf(c_4423,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),C))),inverse(inverse(A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4422]) ).

cnf(c_4424,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),C))),A),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_57,c_4423]) ).

cnf(c_4425,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(inverse(C),multiply(multiply(inverse(B),multiply(inverse(A),C)),A)),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4424]) ).

cnf(c_4426,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(inverse(C),multiply(inverse(B),multiply(multiply(inverse(A),C),A))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4425]) ).

cnf(c_4427,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(C,A)))),inverse(inverse(B))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4426]) ).

cnf(c_4428,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(C,A)))),B),inverse(C)),
    inference(paramod,[status(thm)],[c_57,c_4427]) ).

cnf(c_4429,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(inverse(C),multiply(multiply(inverse(B),multiply(inverse(A),multiply(C,A))),B)),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4428]) ).

cnf(c_4430,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(inverse(C),multiply(inverse(B),multiply(multiply(inverse(A),multiply(C,A)),B))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4429]) ).

cnf(c_4431,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(multiply(C,A),B)))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4430]) ).

cnf(c_4432,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(A,B))))),inverse(C)),
    inference(paramod,[status(thm)],[c_3,c_4431]) ).

cnf(c_4433,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(multiply(C,multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A)))))),inverse(C)),
    inference(paramod,[status(thm)],[c_185,c_4432]) ).

cnf(c_4434,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(C,multiply(multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))),inverse(C))),
    inference(paramod,[status(thm)],[c_3,c_4433]) ).

cnf(c_4435,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(C,multiply(A,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A)))),inverse(C)))),
    inference(paramod,[status(thm)],[c_3,c_4434]) ).

cnf(c_4436,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(C,multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(inverse(B),inverse(A))),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4435]) ).

cnf(c_4437,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(C),multiply(multiply(inverse(B),inverse(A)),inverse(C)))))),
    inference(paramod,[status(thm)],[c_3,c_4436]) ).

cnf(c_4438,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4437]) ).

cnf(c_219,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),inverse(A))))))) = multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B))))),
    inference(copy,[status(thm)],[c_4438]) ).

cnf(c_4439,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),multiply(inverse(C),multiply(inverse(multiply(inverse(A),multiply(B,A))),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_164,c_128]) ).

cnf(c_4440,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(B,multiply(inverse(C),multiply(inverse(multiply(inverse(A),multiply(B,A))),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_57,c_4439]) ).

cnf(c_4441,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(B,multiply(inverse(C),multiply(multiply(inverse(multiply(B,A)),inverse(inverse(A))),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_89,c_4440]) ).

cnf(c_4442,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(B,multiply(inverse(C),multiply(multiply(multiply(inverse(A),inverse(B)),inverse(inverse(A))),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_89,c_4441]) ).

cnf(c_4443,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(B,multiply(inverse(C),multiply(multiply(multiply(inverse(A),inverse(B)),A),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_57,c_4442]) ).

cnf(c_4444,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(B,multiply(inverse(C),multiply(multiply(inverse(A),multiply(inverse(B),A)),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4443]) ).

cnf(c_4445,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(multiply(inverse(B),A),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4444]) ).

cnf(c_4446,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4445]) ).

cnf(c_4447,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(A,multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_208,c_4446]) ).

cnf(c_4448,plain,
    multiply(multiply(inverse(A),multiply(B,A)),multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_9,c_4447]) ).

cnf(c_4449,plain,
    multiply(inverse(A),multiply(multiply(B,A),multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A)))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4448]) ).

cnf(c_4450,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(inverse(inverse(B)),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4449]) ).

cnf(c_4451,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,A)),multiply(B,inverse(C))))),
    inference(paramod,[status(thm)],[c_57,c_4450]) ).

cnf(c_4452,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(multiply(B,A),multiply(B,inverse(C)))))),
    inference(paramod,[status(thm)],[c_3,c_4451]) ).

cnf(c_4453,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4452]) ).

cnf(c_4454,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_183,c_4453]) ).

cnf(c_224,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A))))))))) = multiply(C,multiply(inverse(A),multiply(B,multiply(A,inverse(C))))),
    inference(paramod,[status(thm)],[c_195,c_4454]) ).

cnf(c_4455,plain,
    multiply(multiply(A,multiply(inverse(B),inverse(A))),C) = multiply(inverse(B),multiply(multiply(A,multiply(inverse(B),multiply(inverse(A),B))),C)),
    inference(paramod,[status(thm)],[c_137,c_3]) ).

cnf(c_4456,plain,
    multiply(A,multiply(multiply(inverse(B),inverse(A)),C)) = multiply(inverse(B),multiply(multiply(A,multiply(inverse(B),multiply(inverse(A),B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4455]) ).

cnf(c_4457,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),C))) = multiply(inverse(B),multiply(multiply(A,multiply(inverse(B),multiply(inverse(A),B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4456]) ).

cnf(c_4458,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),C))) = multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(inverse(A),B)),C))),
    inference(paramod,[status(thm)],[c_3,c_4457]) ).

cnf(c_4459,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),C))) = multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(multiply(inverse(A),B),C)))),
    inference(paramod,[status(thm)],[c_3,c_4458]) ).

cnf(c_4460,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),C))) = multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4459]) ).

cnf(c_227,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,C))))) = multiply(B,multiply(inverse(A),multiply(inverse(B),C))),
    inference(copy,[status(thm)],[c_4460]) ).

cnf(c_234,plain,
    multiply(b,multiply(c,multiply(inverse(b),multiply(inverse(c),a)))) != multiply(a,multiply(c,multiply(inverse(b),multiply(inverse(c),b)))),
    inference(paramod,[status(thm)],[c_136,c_187]) ).

cnf(c_4461,plain,
    multiply(multiply(inverse(A),multiply(inverse(A),multiply(B,A))),C) = multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,B)),C)),
    inference(paramod,[status(thm)],[c_203,c_3]) ).

cnf(c_4462,plain,
    multiply(inverse(A),multiply(multiply(inverse(A),multiply(B,A)),C)) = multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4461]) ).

cnf(c_4463,plain,
    multiply(inverse(A),multiply(inverse(A),multiply(multiply(B,A),C))) = multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4462]) ).

cnf(c_4464,plain,
    multiply(inverse(A),multiply(inverse(A),multiply(B,multiply(A,C)))) = multiply(inverse(B),multiply(multiply(inverse(A),multiply(B,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4463]) ).

cnf(c_4465,plain,
    multiply(inverse(A),multiply(inverse(A),multiply(B,multiply(A,C)))) = multiply(inverse(B),multiply(inverse(A),multiply(multiply(B,B),C))),
    inference(paramod,[status(thm)],[c_3,c_4464]) ).

cnf(c_4466,plain,
    multiply(inverse(A),multiply(inverse(A),multiply(B,multiply(A,C)))) = multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C)))),
    inference(paramod,[status(thm)],[c_3,c_4465]) ).

cnf(c_235,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(A,C)))) = multiply(inverse(B),multiply(inverse(B),multiply(A,multiply(B,C)))),
    inference(copy,[status(thm)],[c_4466]) ).

cnf(c_4467,plain,
    multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(A,A))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_136,c_203]) ).

cnf(c_4468,plain,
    multiply(inverse(A),multiply(multiply(inverse(multiply(inverse(A),B)),inverse(inverse(B))),multiply(A,A))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4467]) ).

cnf(c_4469,plain,
    multiply(inverse(A),multiply(multiply(multiply(inverse(B),inverse(inverse(A))),inverse(inverse(B))),multiply(A,A))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4468]) ).

cnf(c_4470,plain,
    multiply(inverse(A),multiply(multiply(multiply(inverse(B),A),inverse(inverse(B))),multiply(A,A))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4469]) ).

cnf(c_4471,plain,
    multiply(inverse(A),multiply(multiply(multiply(inverse(B),A),B),multiply(A,A))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4470]) ).

cnf(c_4472,plain,
    multiply(inverse(A),multiply(multiply(inverse(B),multiply(A,B)),multiply(A,A))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4471]) ).

cnf(c_4473,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(A,B),multiply(A,A)))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4472]) ).

cnf(c_4474,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(A,A))))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4473]) ).

cnf(c_4475,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,A))))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_183,c_4474]) ).

cnf(c_4476,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_198,c_4475]) ).

cnf(c_4477,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(multiply(inverse(A),B)),inverse(inverse(B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4476]) ).

cnf(c_4478,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(multiply(inverse(B),inverse(inverse(A))),inverse(inverse(B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4477]) ).

cnf(c_4479,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(multiply(inverse(B),A),inverse(inverse(B))),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4478]) ).

cnf(c_4480,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(multiply(inverse(B),A),B),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4479]) ).

cnf(c_4481,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(inverse(multiply(inverse(B),multiply(inverse(A),B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4480]) ).

cnf(c_4482,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(multiply(inverse(multiply(inverse(A),B)),inverse(inverse(B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4481]) ).

cnf(c_4483,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(multiply(multiply(inverse(B),inverse(inverse(A))),inverse(inverse(B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4482]) ).

cnf(c_4484,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(multiply(multiply(inverse(B),A),inverse(inverse(B))),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4483]) ).

cnf(c_4485,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(multiply(multiply(inverse(B),A),B),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4484]) ).

cnf(c_4486,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(multiply(inverse(B),multiply(A,B)),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4485]) ).

cnf(c_4487,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(inverse(B),multiply(multiply(A,B),multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))),
    inference(paramod,[status(thm)],[c_3,c_4486]) ).

cnf(c_4488,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(inverse(B),multiply(A,multiply(B,multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_3,c_4487]) ).

cnf(c_4489,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(inverse(B),multiply(A,multiply(inverse(A),multiply(B,A))))),
    inference(paramod,[status(thm)],[c_186,c_4488]) ).

cnf(c_4490,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),multiply(inverse(B),multiply(B,A))),
    inference(paramod,[status(thm)],[c_53,c_4489]) ).

cnf(c_4491,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(multiply(inverse(B),multiply(A,B)),A),
    inference(paramod,[status(thm)],[c_9,c_4490]) ).

cnf(c_4492,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(inverse(B),multiply(multiply(A,B),A)),
    inference(paramod,[status(thm)],[c_3,c_4491]) ).

cnf(c_4493,plain,
    multiply(A,multiply(inverse(B),multiply(A,B))) = multiply(inverse(B),multiply(A,multiply(B,A))),
    inference(paramod,[status(thm)],[c_3,c_4492]) ).

cnf(c_243,plain,
    multiply(inverse(A),multiply(B,multiply(A,B))) = multiply(B,multiply(inverse(A),multiply(B,A))),
    inference(copy,[status(thm)],[c_4493]) ).

cnf(c_4494,plain,
    multiply(inverse(A),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(A,A))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_136,c_203]) ).

cnf(c_4495,plain,
    multiply(inverse(A),multiply(multiply(inverse(multiply(inverse(A),inverse(B))),inverse(B)),multiply(A,A))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_89,c_4494]) ).

cnf(c_4496,plain,
    multiply(inverse(A),multiply(multiply(multiply(inverse(inverse(B)),inverse(inverse(A))),inverse(B)),multiply(A,A))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_89,c_4495]) ).

cnf(c_4497,plain,
    multiply(inverse(A),multiply(multiply(multiply(B,inverse(inverse(A))),inverse(B)),multiply(A,A))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_57,c_4496]) ).

cnf(c_4498,plain,
    multiply(inverse(A),multiply(multiply(multiply(B,A),inverse(B)),multiply(A,A))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_57,c_4497]) ).

cnf(c_4499,plain,
    multiply(inverse(A),multiply(multiply(B,multiply(A,inverse(B))),multiply(A,A))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_3,c_4498]) ).

cnf(c_4500,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(A,inverse(B)),multiply(A,A)))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_3,c_4499]) ).

cnf(c_4501,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(A,A))))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_3,c_4500]) ).

cnf(c_4502,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,A))))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_160,c_4501]) ).

cnf(c_4503,plain,
    multiply(A,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),A))))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_183,c_4502]) ).

cnf(c_4504,plain,
    multiply(A,multiply(B,multiply(A,multiply(inverse(B),identity)))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_2,c_4503]) ).

cnf(c_4505,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_32,c_4504]) ).

cnf(c_4506,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(inverse(multiply(inverse(A),inverse(B))),inverse(B)),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_89,c_4505]) ).

cnf(c_4507,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(multiply(inverse(inverse(B)),inverse(inverse(A))),inverse(B)),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_89,c_4506]) ).

cnf(c_4508,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(multiply(B,inverse(inverse(A))),inverse(B)),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_57,c_4507]) ).

cnf(c_4509,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(multiply(B,A),inverse(B)),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_57,c_4508]) ).

cnf(c_4510,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(inverse(multiply(B,multiply(inverse(A),inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_3,c_4509]) ).

cnf(c_4511,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(multiply(inverse(multiply(inverse(A),inverse(B))),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_89,c_4510]) ).

cnf(c_4512,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(multiply(multiply(inverse(inverse(B)),inverse(inverse(A))),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_89,c_4511]) ).

cnf(c_4513,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(multiply(multiply(B,inverse(inverse(A))),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_57,c_4512]) ).

cnf(c_4514,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(multiply(multiply(B,A),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_57,c_4513]) ).

cnf(c_4515,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(multiply(B,multiply(A,inverse(B))),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_3,c_4514]) ).

cnf(c_4516,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(B,multiply(multiply(A,inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),A)))))),
    inference(paramod,[status(thm)],[c_3,c_4515]) ).

cnf(c_4517,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(B,multiply(A,multiply(inverse(B),multiply(B,multiply(inverse(A),multiply(inverse(B),A))))))),
    inference(paramod,[status(thm)],[c_3,c_4516]) ).

cnf(c_4518,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(B,multiply(A,multiply(inverse(A),multiply(inverse(B),A))))),
    inference(paramod,[status(thm)],[c_9,c_4517]) ).

cnf(c_4519,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),multiply(B,multiply(inverse(B),A))),
    inference(paramod,[status(thm)],[c_53,c_4518]) ).

cnf(c_4520,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(multiply(B,multiply(A,inverse(B))),A),
    inference(paramod,[status(thm)],[c_53,c_4519]) ).

cnf(c_4521,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(B,multiply(multiply(A,inverse(B)),A)),
    inference(paramod,[status(thm)],[c_3,c_4520]) ).

cnf(c_4522,plain,
    multiply(A,multiply(B,multiply(A,inverse(B)))) = multiply(B,multiply(A,multiply(inverse(B),A))),
    inference(paramod,[status(thm)],[c_3,c_4521]) ).

cnf(c_244,plain,
    multiply(A,multiply(B,multiply(inverse(A),B))) = multiply(B,multiply(A,multiply(B,inverse(A)))),
    inference(copy,[status(thm)],[c_4522]) ).

cnf(c_4523,plain,
    multiply(multiply(A,multiply(inverse(B),multiply(A,B))),C) = multiply(inverse(B),multiply(multiply(A,multiply(B,A)),C)),
    inference(paramod,[status(thm)],[c_243,c_3]) ).

cnf(c_4524,plain,
    multiply(A,multiply(multiply(inverse(B),multiply(A,B)),C)) = multiply(inverse(B),multiply(multiply(A,multiply(B,A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4523]) ).

cnf(c_4525,plain,
    multiply(A,multiply(inverse(B),multiply(multiply(A,B),C))) = multiply(inverse(B),multiply(multiply(A,multiply(B,A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4524]) ).

cnf(c_4526,plain,
    multiply(A,multiply(inverse(B),multiply(A,multiply(B,C)))) = multiply(inverse(B),multiply(multiply(A,multiply(B,A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4525]) ).

cnf(c_4527,plain,
    multiply(A,multiply(inverse(B),multiply(A,multiply(B,C)))) = multiply(inverse(B),multiply(A,multiply(multiply(B,A),C))),
    inference(paramod,[status(thm)],[c_3,c_4526]) ).

cnf(c_4528,plain,
    multiply(A,multiply(inverse(B),multiply(A,multiply(B,C)))) = multiply(inverse(B),multiply(A,multiply(B,multiply(A,C)))),
    inference(paramod,[status(thm)],[c_3,c_4527]) ).

cnf(c_252,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(B,C)))) = multiply(B,multiply(inverse(A),multiply(B,multiply(A,C)))),
    inference(copy,[status(thm)],[c_4528]) ).

cnf(c_4529,plain,
    multiply(inverse(inverse(A)),multiply(B,multiply(inverse(A),multiply(B,A)))) = multiply(B,multiply(A,B)),
    inference(paramod,[status(thm)],[c_243,c_9]) ).

cnf(c_256,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(B,A)))) = multiply(B,multiply(A,B)),
    inference(paramod,[status(thm)],[c_57,c_4529]) ).

cnf(c_4530,plain,
    multiply(multiply(A,multiply(B,A)),C) = multiply(B,multiply(multiply(A,multiply(inverse(B),multiply(A,B))),C)),
    inference(paramod,[status(thm)],[c_256,c_3]) ).

cnf(c_4531,plain,
    multiply(A,multiply(multiply(B,A),C)) = multiply(B,multiply(multiply(A,multiply(inverse(B),multiply(A,B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4530]) ).

cnf(c_4532,plain,
    multiply(A,multiply(B,multiply(A,C))) = multiply(B,multiply(multiply(A,multiply(inverse(B),multiply(A,B))),C)),
    inference(paramod,[status(thm)],[c_3,c_4531]) ).

cnf(c_4533,plain,
    multiply(A,multiply(B,multiply(A,C))) = multiply(B,multiply(A,multiply(multiply(inverse(B),multiply(A,B)),C))),
    inference(paramod,[status(thm)],[c_3,c_4532]) ).

cnf(c_4534,plain,
    multiply(A,multiply(B,multiply(A,C))) = multiply(B,multiply(A,multiply(inverse(B),multiply(multiply(A,B),C)))),
    inference(paramod,[status(thm)],[c_3,c_4533]) ).

cnf(c_4535,plain,
    multiply(A,multiply(B,multiply(A,C))) = multiply(B,multiply(A,multiply(inverse(B),multiply(A,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4534]) ).

cnf(c_279,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(B,multiply(A,C))))) = multiply(B,multiply(A,multiply(B,C))),
    inference(copy,[status(thm)],[c_4535]) ).

cnf(c_4536,plain,
    multiply(multiply(A,multiply(B,multiply(A,inverse(B)))),C) = multiply(B,multiply(multiply(A,multiply(inverse(B),A)),C)),
    inference(paramod,[status(thm)],[c_244,c_3]) ).

cnf(c_4537,plain,
    multiply(A,multiply(multiply(B,multiply(A,inverse(B))),C)) = multiply(B,multiply(multiply(A,multiply(inverse(B),A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4536]) ).

cnf(c_4538,plain,
    multiply(A,multiply(B,multiply(multiply(A,inverse(B)),C))) = multiply(B,multiply(multiply(A,multiply(inverse(B),A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4537]) ).

cnf(c_4539,plain,
    multiply(A,multiply(B,multiply(A,multiply(inverse(B),C)))) = multiply(B,multiply(multiply(A,multiply(inverse(B),A)),C)),
    inference(paramod,[status(thm)],[c_3,c_4538]) ).

cnf(c_4540,plain,
    multiply(A,multiply(B,multiply(A,multiply(inverse(B),C)))) = multiply(B,multiply(A,multiply(multiply(inverse(B),A),C))),
    inference(paramod,[status(thm)],[c_3,c_4539]) ).

cnf(c_4541,plain,
    multiply(A,multiply(B,multiply(A,multiply(inverse(B),C)))) = multiply(B,multiply(A,multiply(inverse(B),multiply(A,C)))),
    inference(paramod,[status(thm)],[c_3,c_4540]) ).

cnf(c_314,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(B,C)))) = multiply(B,multiply(A,multiply(B,multiply(inverse(A),C)))),
    inference(copy,[status(thm)],[c_4541]) ).

cnf(c_4542,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,C))) = multiply(inverse(B),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_9,c_252]) ).

cnf(c_4543,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,C))) = multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))),
    inference(paramod,[status(thm)],[c_183,c_4542]) ).

cnf(c_4544,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,C))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),C))))),
    inference(paramod,[status(thm)],[c_160,c_4543]) ).

cnf(c_390,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(inverse(A),C))))) = multiply(inverse(B),multiply(inverse(A),multiply(B,C))),
    inference(copy,[status(thm)],[c_4544]) ).

cnf(c_4545,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(B,multiply(inverse(B),multiply(A,B)))))) = multiply(B,multiply(inverse(A),multiply(A,multiply(B,A)))),
    inference(paramod,[status(thm)],[c_256,c_252]) ).

cnf(c_4546,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,B)))) = multiply(B,multiply(inverse(A),multiply(A,multiply(B,A)))),
    inference(paramod,[status(thm)],[c_53,c_4545]) ).

cnf(c_443,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,B)))) = multiply(B,multiply(B,A)),
    inference(paramod,[status(thm)],[c_9,c_4546]) ).

cnf(c_4547,plain,
    multiply(multiply(A,multiply(A,B)),C) = multiply(inverse(B),multiply(multiply(A,multiply(B,multiply(B,A))),C)),
    inference(paramod,[status(thm)],[c_443,c_3]) ).

cnf(c_4548,plain,
    multiply(A,multiply(multiply(A,B),C)) = multiply(inverse(B),multiply(multiply(A,multiply(B,multiply(B,A))),C)),
    inference(paramod,[status(thm)],[c_3,c_4547]) ).

cnf(c_4549,plain,
    multiply(A,multiply(A,multiply(B,C))) = multiply(inverse(B),multiply(multiply(A,multiply(B,multiply(B,A))),C)),
    inference(paramod,[status(thm)],[c_3,c_4548]) ).

cnf(c_4550,plain,
    multiply(A,multiply(A,multiply(B,C))) = multiply(inverse(B),multiply(A,multiply(multiply(B,multiply(B,A)),C))),
    inference(paramod,[status(thm)],[c_3,c_4549]) ).

cnf(c_4551,plain,
    multiply(A,multiply(A,multiply(B,C))) = multiply(inverse(B),multiply(A,multiply(B,multiply(multiply(B,A),C)))),
    inference(paramod,[status(thm)],[c_3,c_4550]) ).

cnf(c_4552,plain,
    multiply(A,multiply(A,multiply(B,C))) = multiply(inverse(B),multiply(A,multiply(B,multiply(B,multiply(A,C))))),
    inference(paramod,[status(thm)],[c_3,c_4551]) ).

cnf(c_481,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(B,C))))) = multiply(B,multiply(B,multiply(A,C))),
    inference(copy,[status(thm)],[c_4552]) ).

cnf(c_4553,plain,
    multiply(inverse(inverse(A)),multiply(B,multiply(B,A))) = multiply(B,multiply(A,multiply(A,B))),
    inference(paramod,[status(thm)],[c_443,c_9]) ).

cnf(c_484,plain,
    multiply(A,multiply(B,multiply(B,A))) = multiply(B,multiply(A,multiply(A,B))),
    inference(paramod,[status(thm)],[c_57,c_4553]) ).

cnf(c_4554,plain,
    multiply(multiply(A,multiply(B,multiply(B,A))),C) = multiply(B,multiply(multiply(A,multiply(A,B)),C)),
    inference(paramod,[status(thm)],[c_484,c_3]) ).

cnf(c_4555,plain,
    multiply(A,multiply(multiply(B,multiply(B,A)),C)) = multiply(B,multiply(multiply(A,multiply(A,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4554]) ).

cnf(c_4556,plain,
    multiply(A,multiply(B,multiply(multiply(B,A),C))) = multiply(B,multiply(multiply(A,multiply(A,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4555]) ).

cnf(c_4557,plain,
    multiply(A,multiply(B,multiply(B,multiply(A,C)))) = multiply(B,multiply(multiply(A,multiply(A,B)),C)),
    inference(paramod,[status(thm)],[c_3,c_4556]) ).

cnf(c_4558,plain,
    multiply(A,multiply(B,multiply(B,multiply(A,C)))) = multiply(B,multiply(A,multiply(multiply(A,B),C))),
    inference(paramod,[status(thm)],[c_3,c_4557]) ).

cnf(c_516,plain,
    multiply(A,multiply(B,multiply(B,multiply(A,C)))) = multiply(B,multiply(A,multiply(A,multiply(B,C)))),
    inference(paramod,[status(thm)],[c_3,c_4558]) ).

cnf(c_4559,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(multiply(B,C)),D))))) = multiply(A,multiply(inverse(multiply(B,C)),multiply(inverse(A),multiply(multiply(B,C),D)))),
    inference(paramod,[status(thm)],[c_3,c_160]) ).

cnf(c_4560,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(multiply(inverse(C),inverse(B)),D))))) = multiply(A,multiply(inverse(multiply(B,C)),multiply(inverse(A),multiply(multiply(B,C),D)))),
    inference(paramod,[status(thm)],[c_89,c_4559]) ).

cnf(c_4561,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),D)))))) = multiply(A,multiply(inverse(multiply(B,C)),multiply(inverse(A),multiply(multiply(B,C),D)))),
    inference(paramod,[status(thm)],[c_3,c_4560]) ).

cnf(c_4562,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),D)))))) = multiply(A,multiply(multiply(inverse(C),inverse(B)),multiply(inverse(A),multiply(multiply(B,C),D)))),
    inference(paramod,[status(thm)],[c_89,c_4561]) ).

cnf(c_4563,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),D)))))) = multiply(A,multiply(multiply(inverse(C),inverse(B)),multiply(inverse(A),multiply(B,multiply(C,D))))),
    inference(paramod,[status(thm)],[c_3,c_4562]) ).

cnf(c_618,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),D)))))) = multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,D)))))),
    inference(paramod,[status(thm)],[c_3,c_4563]) ).

cnf(c_4564,plain,
    multiply(inverse(inverse(A)),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C))))) = multiply(B,multiply(A,multiply(inverse(B),C))),
    inference(paramod,[status(thm)],[c_160,c_9]) ).

cnf(c_619,plain,
    multiply(A,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C))))) = multiply(B,multiply(A,multiply(inverse(B),C))),
    inference(paramod,[status(thm)],[c_57,c_4564]) ).

cnf(c_4565,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(inverse(B)),multiply(inverse(B),multiply(C,B)))))) = multiply(A,multiply(inverse(inverse(B)),multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))),
    inference(paramod,[status(thm)],[c_203,c_160]) ).

cnf(c_4566,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(B),multiply(C,B)))))) = multiply(A,multiply(inverse(inverse(B)),multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))),
    inference(paramod,[status(thm)],[c_57,c_4565]) ).

cnf(c_4567,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(C,B)))) = multiply(A,multiply(inverse(inverse(B)),multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))),
    inference(paramod,[status(thm)],[c_53,c_4566]) ).

cnf(c_4568,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(C,B)))) = multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))),
    inference(paramod,[status(thm)],[c_57,c_4567]) ).

cnf(c_640,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))) = multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(C,B)))),
    inference(copy,[status(thm)],[c_4568]) ).

cnf(c_4569,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(C,multiply(B,inverse(C))),multiply(B,multiply(A,inverse(multiply(C,multiply(B,inverse(C))))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_133,c_161]) ).

cnf(c_4570,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(C,multiply(B,inverse(C))),multiply(B,multiply(A,multiply(inverse(multiply(B,inverse(C))),inverse(C))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_89,c_4569]) ).

cnf(c_4571,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(C,multiply(B,inverse(C))),multiply(B,multiply(A,multiply(multiply(inverse(inverse(C)),inverse(B)),inverse(C))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_89,c_4570]) ).

cnf(c_4572,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(C,multiply(B,inverse(C))),multiply(B,multiply(A,multiply(multiply(C,inverse(B)),inverse(C))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_57,c_4571]) ).

cnf(c_4573,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(C,multiply(B,inverse(C))),multiply(B,multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_3,c_4572]) ).

cnf(c_4574,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(multiply(B,inverse(C)),multiply(B,multiply(A,multiply(C,multiply(inverse(B),inverse(C))))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_3,c_4573]) ).

cnf(c_4575,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),multiply(B,multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_3,c_4574]) ).

cnf(c_4576,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_160,c_4575]) ).

cnf(c_4577,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_183,c_4576]) ).

cnf(c_4578,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(B,multiply(A,multiply(inverse(multiply(C,multiply(B,inverse(C)))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_193,c_4577]) ).

cnf(c_4579,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(B,multiply(A,multiply(multiply(inverse(multiply(B,inverse(C))),inverse(C)),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_89,c_4578]) ).

cnf(c_4580,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(B,multiply(A,multiply(multiply(multiply(inverse(inverse(C)),inverse(B)),inverse(C)),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_89,c_4579]) ).

cnf(c_4581,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(B,multiply(A,multiply(multiply(multiply(C,inverse(B)),inverse(C)),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_57,c_4580]) ).

cnf(c_4582,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(B,multiply(A,multiply(multiply(C,multiply(inverse(B),inverse(C))),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))),
    inference(paramod,[status(thm)],[c_3,c_4581]) ).

cnf(c_4583,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(B,multiply(A,multiply(C,multiply(multiply(inverse(B),inverse(C)),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4582]) ).

cnf(c_4584,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(B,multiply(A,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),C))))))))),
    inference(paramod,[status(thm)],[c_3,c_4583]) ).

cnf(c_690,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))))) = multiply(inverse(B),multiply(C,multiply(A,multiply(inverse(C),multiply(B,multiply(C,multiply(inverse(A),inverse(C)))))))),
    inference(copy,[status(thm)],[c_4584]) ).

cnf(c_4585,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),multiply(B,C)),multiply(B,multiply(A,inverse(multiply(inverse(C),multiply(B,C)))))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_164,c_161]) ).

cnf(c_4586,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),multiply(B,C)),multiply(B,multiply(A,multiply(inverse(multiply(B,C)),inverse(inverse(C)))))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_89,c_4585]) ).

cnf(c_4587,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),multiply(B,C)),multiply(B,multiply(A,multiply(multiply(inverse(C),inverse(B)),inverse(inverse(C)))))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_89,c_4586]) ).

cnf(c_4588,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),multiply(B,C)),multiply(B,multiply(A,multiply(multiply(inverse(C),inverse(B)),C)))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_57,c_4587]) ).

cnf(c_4589,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),multiply(B,C)),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4588]) ).

cnf(c_4590,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(multiply(B,C),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4589]) ).

cnf(c_4591,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4590]) ).

cnf(c_4592,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_183,c_4591]) ).

cnf(c_4593,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(inverse(multiply(inverse(C),multiply(B,C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_195,c_4592]) ).

cnf(c_4594,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(multiply(inverse(multiply(B,C)),inverse(inverse(C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_89,c_4593]) ).

cnf(c_4595,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(multiply(multiply(inverse(C),inverse(B)),inverse(inverse(C))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_89,c_4594]) ).

cnf(c_4596,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(multiply(multiply(inverse(C),inverse(B)),C),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_57,c_4595]) ).

cnf(c_4597,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(B),C)),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4596]) ).

cnf(c_4598,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(inverse(C),multiply(multiply(inverse(B),C),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C))))))))),
    inference(paramod,[status(thm)],[c_3,c_4597]) ).

cnf(c_4599,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),inverse(C)))))))))),
    inference(paramod,[status(thm)],[c_3,c_4598]) ).

cnf(c_693,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(inverse(B),multiply(A,multiply(C,multiply(inverse(A),inverse(C)))))))))) = multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(A),C))))))),
    inference(copy,[status(thm)],[c_4599]) ).

cnf(c_4600,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(A,multiply(C,inverse(B)))))) = multiply(A,multiply(inverse(inverse(C)),multiply(inverse(B),multiply(inverse(A),multiply(B,inverse(C)))))),
    inference(paramod,[status(thm)],[c_57,c_162]) ).

cnf(c_987,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(A,multiply(C,inverse(B)))))) = multiply(A,multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(B,inverse(C)))))),
    inference(paramod,[status(thm)],[c_57,c_4600]) ).

cnf(c_4601,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_130,c_162]) ).

cnf(c_4602,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),B))),inverse(C)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_89,c_4601]) ).

cnf(c_4603,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(multiply(inverse(multiply(inverse(C),B)),inverse(inverse(B))),inverse(C)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_89,c_4602]) ).

cnf(c_4604,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(multiply(multiply(inverse(B),inverse(inverse(C))),inverse(inverse(B))),inverse(C)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_89,c_4603]) ).

cnf(c_4605,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(multiply(multiply(inverse(B),C),inverse(inverse(B))),inverse(C)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_57,c_4604]) ).

cnf(c_4606,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(multiply(multiply(inverse(B),C),B),inverse(C)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_57,c_4605]) ).

cnf(c_4607,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(multiply(inverse(B),multiply(C,B)),inverse(C)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4606]) ).

cnf(c_4608,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(inverse(B),multiply(multiply(C,B),inverse(C))),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4607]) ).

cnf(c_4609,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(inverse(B),multiply(C,multiply(B,inverse(C)))),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4608]) ).

cnf(c_4610,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),inverse(B)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_133,c_4609]) ).

cnf(c_4611,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(inverse(B),C)),inverse(B))))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4610]) ).

cnf(c_4612,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(B,multiply(inverse(C),multiply(multiply(inverse(B),C),inverse(B)))))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4611]) ).

cnf(c_4613,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(B))))))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4612]) ).

cnf(c_4614,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_181,c_4613]) ).

cnf(c_4615,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4614]) ).

cnf(c_4616,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),B),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4615]) ).

cnf(c_4617,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4616]) ).

cnf(c_4618,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(inverse(multiply(C,multiply(inverse(B),multiply(inverse(C),B)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_195,c_4617]) ).

cnf(c_4619,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),B))),inverse(C)),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_89,c_4618]) ).

cnf(c_4620,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(multiply(inverse(multiply(inverse(C),B)),inverse(inverse(B))),inverse(C)),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_89,c_4619]) ).

cnf(c_4621,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(multiply(multiply(inverse(B),inverse(inverse(C))),inverse(inverse(B))),inverse(C)),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_89,c_4620]) ).

cnf(c_4622,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(multiply(multiply(inverse(B),C),inverse(inverse(B))),inverse(C)),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_57,c_4621]) ).

cnf(c_4623,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(multiply(multiply(inverse(B),C),B),inverse(C)),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_57,c_4622]) ).

cnf(c_4624,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(multiply(inverse(B),multiply(C,B)),inverse(C)),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4623]) ).

cnf(c_4625,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(inverse(B),multiply(multiply(C,B),inverse(C))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4624]) ).

cnf(c_4626,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(inverse(B),multiply(C,multiply(B,inverse(C)))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4625]) ).

cnf(c_4627,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_133,c_4626]) ).

cnf(c_4628,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(inverse(B),C)),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_3,c_4627]) ).

cnf(c_4629,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(B,multiply(inverse(C),multiply(multiply(inverse(B),C),multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4628]) ).

cnf(c_4630,plain,
    multiply(inverse(A),multiply(inverse(C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))) = multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))))),
    inference(paramod,[status(thm)],[c_3,c_4629]) ).

cnf(c_989,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(C,B))))))),
    inference(paramod,[status(thm)],[c_390,c_4630]) ).

cnf(c_4631,plain,
    multiply(A,multiply(inverse(B),multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,C))))))) = multiply(inverse(B),multiply(A,multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_162,c_516]) ).

cnf(c_4632,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,C))))) = multiply(inverse(B),multiply(A,multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_9,c_4631]) ).

cnf(c_4633,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,C))))) = multiply(inverse(B),multiply(A,multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(A)))))))),
    inference(paramod,[status(thm)],[c_160,c_4632]) ).

cnf(c_1007,plain,
    multiply(inverse(A),multiply(B,multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(C,inverse(B)))))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))),
    inference(copy,[status(thm)],[c_4633]) ).

cnf(c_1012,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(inverse(B),multiply(A,multiply(C,multiply(inverse(A),inverse(C)))))))))) = multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,C))))))),
    inference(paramod,[status(thm)],[c_989,c_693]) ).

cnf(c_4634,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_163,c_162]) ).

cnf(c_4635,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(inverse(multiply(inverse(C),multiply(inverse(B),C))),inverse(B)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_89,c_4634]) ).

cnf(c_4636,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(inverse(multiply(inverse(B),C)),inverse(inverse(C))),inverse(B)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_89,c_4635]) ).

cnf(c_4637,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(multiply(inverse(C),inverse(inverse(B))),inverse(inverse(C))),inverse(B)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_89,c_4636]) ).

cnf(c_4638,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(multiply(inverse(C),B),inverse(inverse(C))),inverse(B)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_57,c_4637]) ).

cnf(c_4639,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(multiply(inverse(C),B),C),inverse(B)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_57,c_4638]) ).

cnf(c_4640,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(inverse(C),multiply(B,C)),inverse(B)),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4639]) ).

cnf(c_4641,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(inverse(C),multiply(multiply(B,C),inverse(B))),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4640]) ).

cnf(c_4642,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(inverse(C),multiply(B,multiply(C,inverse(B)))),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4641]) ).

cnf(c_4643,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),inverse(B)))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_133,c_4642]) ).

cnf(c_4644,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),B)),inverse(B))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4643]) ).

cnf(c_4645,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),B),inverse(B)))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4644]) ).

cnf(c_4646,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(B))))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4645]) ).

cnf(c_4647,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(C,multiply(inverse(B),multiply(inverse(C),identity))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_49,c_4646]) ).

cnf(c_4648,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(B,multiply(inverse(C),multiply(inverse(B),C))),multiply(A,multiply(C,multiply(inverse(B),inverse(C))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_32,c_4647]) ).

cnf(c_4649,plain,
    multiply(inverse(A),multiply(B,multiply(B,multiply(multiply(inverse(C),multiply(inverse(B),C)),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4648]) ).

cnf(c_4650,plain,
    multiply(inverse(A),multiply(B,multiply(B,multiply(inverse(C),multiply(multiply(inverse(B),C),multiply(A,multiply(C,multiply(inverse(B),inverse(C))))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4649]) ).

cnf(c_4651,plain,
    multiply(inverse(A),multiply(B,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4650]) ).

cnf(c_4652,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(B),C)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_619,c_4651]) ).

cnf(c_4653,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(inverse(multiply(inverse(C),multiply(inverse(B),C))),inverse(B)),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_89,c_4652]) ).

cnf(c_4654,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(multiply(inverse(multiply(inverse(B),C)),inverse(inverse(C))),inverse(B)),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_89,c_4653]) ).

cnf(c_4655,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(multiply(multiply(inverse(C),inverse(inverse(B))),inverse(inverse(C))),inverse(B)),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_89,c_4654]) ).

cnf(c_4656,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(multiply(multiply(inverse(C),B),inverse(inverse(C))),inverse(B)),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_57,c_4655]) ).

cnf(c_4657,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(multiply(multiply(inverse(C),B),C),inverse(B)),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_57,c_4656]) ).

cnf(c_4658,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(multiply(inverse(C),multiply(B,C)),inverse(B)),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4657]) ).

cnf(c_4659,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(inverse(C),multiply(multiply(B,C),inverse(B))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4658]) ).

cnf(c_4660,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(inverse(C),multiply(B,multiply(C,inverse(B)))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_3,c_4659]) ).

cnf(c_4661,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(multiply(C,multiply(inverse(B),multiply(inverse(C),B))),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))),
    inference(paramod,[status(thm)],[c_133,c_4660]) ).

cnf(c_4662,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4661]) ).

cnf(c_4663,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),B),multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C))))))))),
    inference(paramod,[status(thm)],[c_3,c_4662]) ).

cnf(c_4664,plain,
    multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(C,multiply(inverse(B),inverse(C)))))))) = multiply(A,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,inverse(C)))))))))),
    inference(paramod,[status(thm)],[c_3,c_4663]) ).

cnf(c_1025,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(C),inverse(B)))))))) = multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(B)))))))),
    inference(paramod,[status(thm)],[c_53,c_4664]) ).

cnf(c_1029,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))))) = multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))),
    inference(paramod,[status(thm)],[c_1025,c_690]) ).

cnf(c_4665,plain,
    multiply(A,multiply(B,multiply(C,multiply(A,multiply(inverse(multiply(B,C)),inverse(A)))))) = multiply(multiply(B,C),multiply(A,inverse(multiply(B,C)))),
    inference(paramod,[status(thm)],[c_3,c_167]) ).

cnf(c_4666,plain,
    multiply(A,multiply(B,multiply(C,multiply(A,multiply(multiply(inverse(C),inverse(B)),inverse(A)))))) = multiply(multiply(B,C),multiply(A,inverse(multiply(B,C)))),
    inference(paramod,[status(thm)],[c_89,c_4665]) ).

cnf(c_4667,plain,
    multiply(A,multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),inverse(A))))))) = multiply(multiply(B,C),multiply(A,inverse(multiply(B,C)))),
    inference(paramod,[status(thm)],[c_3,c_4666]) ).

cnf(c_4668,plain,
    multiply(A,multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),inverse(A))))))) = multiply(multiply(B,C),multiply(A,multiply(inverse(C),inverse(B)))),
    inference(paramod,[status(thm)],[c_89,c_4667]) ).

cnf(c_1090,plain,
    multiply(A,multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),inverse(A))))))) = multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(B))))),
    inference(paramod,[status(thm)],[c_3,c_4668]) ).

cnf(c_4669,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_235,c_198]) ).

cnf(c_4670,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_57,c_4669]) ).

cnf(c_4671,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(multiply(inverse(multiply(B,multiply(A,C))),inverse(inverse(A))),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_89,c_4670]) ).

cnf(c_4672,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(multiply(multiply(inverse(multiply(A,C)),inverse(B)),inverse(inverse(A))),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_89,c_4671]) ).

cnf(c_4673,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(multiply(multiply(multiply(inverse(C),inverse(A)),inverse(B)),inverse(inverse(A))),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_89,c_4672]) ).

cnf(c_4674,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(multiply(multiply(inverse(C),multiply(inverse(A),inverse(B))),inverse(inverse(A))),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4673]) ).

cnf(c_4675,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(multiply(multiply(inverse(C),multiply(inverse(A),inverse(B))),A),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_57,c_4674]) ).

cnf(c_4676,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(multiply(inverse(C),multiply(multiply(inverse(A),inverse(B)),A)),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4675]) ).

cnf(c_4677,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),A))),multiply(inverse(A),inverse(A))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4676]) ).

cnf(c_4678,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(inverse(C),multiply(multiply(inverse(A),multiply(inverse(B),A)),multiply(inverse(A),inverse(A)))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4677]) ).

cnf(c_4679,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(multiply(inverse(B),A),multiply(inverse(A),inverse(A))))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4678]) ).

cnf(c_4680,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(A),inverse(A)))))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4679]) ).

cnf(c_4681,plain,
    multiply(multiply(inverse(A),multiply(B,multiply(A,C))),multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),inverse(A)))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_53,c_4680]) ).

cnf(c_4682,plain,
    multiply(inverse(A),multiply(multiply(B,multiply(A,C)),multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),inverse(A))))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4681]) ).

cnf(c_4683,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(A,C),multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),inverse(A)))))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4682]) ).

cnf(c_4684,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),inverse(A))))))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4683]) ).

cnf(c_4685,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(B),inverse(A))))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_193,c_4684]) ).

cnf(c_4686,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(inverse(multiply(inverse(A),multiply(B,multiply(A,C)))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_618,c_4685]) ).

cnf(c_4687,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(multiply(inverse(multiply(B,multiply(A,C))),inverse(inverse(A))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_89,c_4686]) ).

cnf(c_4688,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(multiply(multiply(inverse(multiply(A,C)),inverse(B)),inverse(inverse(A))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_89,c_4687]) ).

cnf(c_4689,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(multiply(multiply(multiply(inverse(C),inverse(A)),inverse(B)),inverse(inverse(A))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_89,c_4688]) ).

cnf(c_4690,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(multiply(multiply(inverse(C),multiply(inverse(A),inverse(B))),inverse(inverse(A))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4689]) ).

cnf(c_4691,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(multiply(multiply(inverse(C),multiply(inverse(A),inverse(B))),A),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_57,c_4690]) ).

cnf(c_4692,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(multiply(inverse(C),multiply(multiply(inverse(A),inverse(B)),A)),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4691]) ).

cnf(c_4693,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),A))),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3,c_4692]) ).

cnf(c_4694,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(inverse(C),multiply(multiply(inverse(A),multiply(inverse(B),A)),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C)))))),
    inference(paramod,[status(thm)],[c_3,c_4693]) ).

cnf(c_4695,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(inverse(C),multiply(inverse(A),multiply(multiply(inverse(B),A),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C))))))),
    inference(paramod,[status(thm)],[c_3,c_4694]) ).

cnf(c_4696,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(B,C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4695]) ).

cnf(c_4697,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,C)))))),
    inference(paramod,[status(thm)],[c_200,c_4696]) ).

cnf(c_4698,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(inverse(C),multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),C)))))),
    inference(paramod,[status(thm)],[c_183,c_4697]) ).

cnf(c_4699,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(A))))))) = multiply(inverse(C),multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(inverse(A),C)))))),
    inference(paramod,[status(thm)],[c_160,c_4698]) ).

cnf(c_1123,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(B,inverse(A))))))) = multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(C,B)))),
    inference(paramod,[status(thm)],[c_390,c_4699]) ).

cnf(c_1331,plain,
    multiply(c,multiply(inverse(b),multiply(inverse(c),multiply(b,a)))) != multiply(a,multiply(c,multiply(inverse(b),multiply(inverse(c),b)))),
    inference(paramod,[status(thm)],[c_177,c_234]) ).

cnf(c_4700,plain,
    multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_133,c_178]) ).

cnf(c_4701,plain,
    multiply(A,multiply(B,multiply(multiply(inverse(multiply(A,inverse(C))),inverse(C)),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4700]) ).

cnf(c_4702,plain,
    multiply(A,multiply(B,multiply(multiply(multiply(inverse(inverse(C)),inverse(A)),inverse(C)),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4701]) ).

cnf(c_4703,plain,
    multiply(A,multiply(B,multiply(multiply(multiply(C,inverse(A)),inverse(C)),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4702]) ).

cnf(c_4704,plain,
    multiply(A,multiply(B,multiply(multiply(C,multiply(inverse(A),inverse(C))),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4703]) ).

cnf(c_4705,plain,
    multiply(A,multiply(B,multiply(C,multiply(multiply(inverse(A),inverse(C)),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4704]) ).

cnf(c_4706,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4705]) ).

cnf(c_4707,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(A,inverse(C)))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_1029,c_4706]) ).

cnf(c_4708,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(multiply(inverse(multiply(A,inverse(C))),inverse(C)),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4707]) ).

cnf(c_4709,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(multiply(multiply(inverse(inverse(C)),inverse(A)),inverse(C)),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4708]) ).

cnf(c_4710,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(multiply(multiply(C,inverse(A)),inverse(C)),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4709]) ).

cnf(c_4711,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(multiply(C,multiply(inverse(A),inverse(C))),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4710]) ).

cnf(c_4712,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(C,multiply(multiply(inverse(A),inverse(C)),multiply(inverse(B),inverse(A))))))),
    inference(paramod,[status(thm)],[c_3,c_4711]) ).

cnf(c_4713,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_3,c_4712]) ).

cnf(c_4714,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(multiply(C,multiply(A,inverse(C))),multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B)))))),
    inference(paramod,[status(thm)],[c_219,c_4713]) ).

cnf(c_4715,plain,
    multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(C)))))))) = multiply(C,multiply(multiply(A,inverse(C)),multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B))))))),
    inference(paramod,[status(thm)],[c_3,c_4714]) ).

cnf(c_1579,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(B)))))))) = multiply(B,multiply(C,multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_3,c_4715]) ).

cnf(c_4716,plain,
    multiply(inverse(inverse(A)),multiply(B,multiply(inverse(A),multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))))) = multiply(B,multiply(B,multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(C),inverse(B))))))),
    inference(paramod,[status(thm)],[c_162,c_481]) ).

cnf(c_4717,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))))) = multiply(B,multiply(B,multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(C),inverse(B))))))),
    inference(paramod,[status(thm)],[c_57,c_4716]) ).

cnf(c_4718,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = multiply(B,multiply(B,multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(C),inverse(B))))))),
    inference(paramod,[status(thm)],[c_9,c_4717]) ).

cnf(c_1956,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = multiply(B,multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(C,inverse(B))))))),
    inference(paramod,[status(thm)],[c_160,c_4718]) ).

cnf(c_1966,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),D)))))))) = multiply(B,multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,D)))))),
    inference(paramod,[status(thm)],[c_177,c_481]) ).

cnf(c_1988,plain,
    multiply(A,multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(C,inverse(B))))))) = multiply(C,multiply(inverse(B),multiply(A,multiply(B,inverse(C))))),
    inference(paramod,[status(thm)],[c_1966,c_224]) ).

cnf(c_4719,plain,
    multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_198,c_180]) ).

cnf(c_4720,plain,
    multiply(A,multiply(multiply(inverse(multiply(inverse(C),multiply(B,B))),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4719]) ).

cnf(c_4721,plain,
    multiply(A,multiply(multiply(multiply(inverse(multiply(B,B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4720]) ).

cnf(c_4722,plain,
    multiply(A,multiply(multiply(multiply(multiply(inverse(B),inverse(B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4721]) ).

cnf(c_4723,plain,
    multiply(A,multiply(multiply(multiply(multiply(inverse(B),inverse(B)),C),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4722]) ).

cnf(c_4724,plain,
    multiply(A,multiply(multiply(multiply(inverse(B),multiply(inverse(B),C)),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4723]) ).

cnf(c_4725,plain,
    multiply(A,multiply(multiply(multiply(inverse(B),multiply(inverse(B),C)),B),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4724]) ).

cnf(c_4726,plain,
    multiply(A,multiply(multiply(inverse(B),multiply(multiply(inverse(B),C),B)),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4725]) ).

cnf(c_4727,plain,
    multiply(A,multiply(multiply(inverse(B),multiply(inverse(B),multiply(C,B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4726]) ).

cnf(c_4728,plain,
    multiply(A,multiply(inverse(B),multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4727]) ).

cnf(c_4729,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(B),multiply(multiply(C,B),multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C)))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4728]) ).

cnf(c_4730,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4729]) ).

cnf(c_4731,plain,
    multiply(A,multiply(inverse(B),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_160,c_4730]) ).

cnf(c_4732,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,B)))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_9,c_4731]) ).

cnf(c_4733,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(multiply(inverse(multiply(inverse(C),multiply(B,B))),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4732]) ).

cnf(c_4734,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(multiply(multiply(inverse(multiply(B,B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4733]) ).

cnf(c_4735,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(multiply(multiply(multiply(inverse(B),inverse(B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4734]) ).

cnf(c_4736,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(multiply(multiply(multiply(inverse(B),inverse(B)),C),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4735]) ).

cnf(c_4737,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(multiply(multiply(inverse(B),multiply(inverse(B),C)),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4736]) ).

cnf(c_4738,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(multiply(multiply(inverse(B),multiply(inverse(B),C)),B),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4737]) ).

cnf(c_4739,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(multiply(inverse(B),multiply(multiply(inverse(B),C),B)),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4738]) ).

cnf(c_4740,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(multiply(inverse(B),multiply(inverse(B),multiply(C,B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4739]) ).

cnf(c_4741,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(B),multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(C),inverse(A))))))),
    inference(paramod,[status(thm)],[c_3,c_4740]) ).

cnf(c_4742,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(B),multiply(inverse(B),multiply(multiply(C,B),multiply(inverse(C),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_3,c_4741]) ).

cnf(c_4743,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(B),multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),inverse(A))))))))),
    inference(paramod,[status(thm)],[c_3,c_4742]) ).

cnf(c_4744,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(B),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(A))))))))),
    inference(paramod,[status(thm)],[c_160,c_4743]) ).

cnf(c_4745,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,B))),multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(A))))))),
    inference(paramod,[status(thm)],[c_9,c_4744]) ).

cnf(c_4746,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),multiply(B,B)),multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(A)))))))),
    inference(paramod,[status(thm)],[c_3,c_4745]) ).

cnf(c_4747,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(multiply(B,B),multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(A))))))))),
    inference(paramod,[status(thm)],[c_3,c_4746]) ).

cnf(c_4748,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(A)))))))))),
    inference(paramod,[status(thm)],[c_3,c_4747]) ).

cnf(c_4749,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(C,multiply(inverse(A),multiply(B,multiply(A,inverse(C)))))))),
    inference(paramod,[status(thm)],[c_1988,c_4748]) ).

cnf(c_4750,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(B,C))))))) = multiply(C,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(A,inverse(C)))))),
    inference(paramod,[status(thm)],[c_9,c_4749]) ).

cnf(c_2078,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(C,B))))))) = multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(A),inverse(B)))))),
    inference(paramod,[status(thm)],[c_183,c_4750]) ).

cnf(c_4751,plain,
    multiply(inverse(inverse(A)),multiply(B,multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,A))))))) = multiply(B,multiply(inverse(inverse(A)),multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(C),inverse(B)))))))),
    inference(paramod,[status(thm)],[c_180,c_252]) ).

cnf(c_4752,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,A))))))) = multiply(B,multiply(inverse(inverse(A)),multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(C),inverse(B)))))))),
    inference(paramod,[status(thm)],[c_57,c_4751]) ).

cnf(c_2090,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,A))))))) = multiply(B,multiply(A,multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(C),inverse(B)))))))),
    inference(paramod,[status(thm)],[c_57,c_4752]) ).

cnf(c_4753,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(C),inverse(B)))))))) = multiply(B,multiply(inverse(A),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,A))))))),
    inference(paramod,[status(thm)],[c_180,c_516]) ).

cnf(c_4754,plain,
    multiply(inverse(A),multiply(C,multiply(A,multiply(B,multiply(inverse(A),inverse(C)))))) = multiply(B,multiply(inverse(A),multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,A))))))),
    inference(paramod,[status(thm)],[c_1090,c_4753]) ).

cnf(c_2107,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(C,B))))))) = multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(C)))))),
    inference(copy,[status(thm)],[c_4754]) ).

cnf(c_4755,plain,
    multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_181,c_180]) ).

cnf(c_4756,plain,
    multiply(A,multiply(multiply(inverse(multiply(inverse(C),multiply(B,inverse(C)))),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4755]) ).

cnf(c_4757,plain,
    multiply(A,multiply(multiply(multiply(inverse(multiply(B,inverse(C))),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4756]) ).

cnf(c_4758,plain,
    multiply(A,multiply(multiply(multiply(multiply(inverse(inverse(C)),inverse(B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4757]) ).

cnf(c_4759,plain,
    multiply(A,multiply(multiply(multiply(multiply(C,inverse(B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4758]) ).

cnf(c_4760,plain,
    multiply(A,multiply(multiply(multiply(multiply(C,inverse(B)),C),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4759]) ).

cnf(c_4761,plain,
    multiply(A,multiply(multiply(multiply(C,multiply(inverse(B),C)),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4760]) ).

cnf(c_4762,plain,
    multiply(A,multiply(multiply(multiply(C,multiply(inverse(B),C)),B),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4761]) ).

cnf(c_4763,plain,
    multiply(A,multiply(multiply(C,multiply(multiply(inverse(B),C),B)),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4762]) ).

cnf(c_4764,plain,
    multiply(A,multiply(multiply(C,multiply(inverse(B),multiply(C,B))),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4763]) ).

cnf(c_4765,plain,
    multiply(A,multiply(C,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4764]) ).

cnf(c_4766,plain,
    multiply(A,multiply(C,multiply(inverse(B),multiply(multiply(C,B),multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4765]) ).

cnf(c_4767,plain,
    multiply(A,multiply(C,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4766]) ).

cnf(c_4768,plain,
    multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_160,c_4767]) ).

cnf(c_4769,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C))))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_195,c_4768]) ).

cnf(c_4770,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(inverse(multiply(inverse(C),multiply(B,inverse(C)))),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4769]) ).

cnf(c_4771,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(multiply(inverse(multiply(B,inverse(C))),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4770]) ).

cnf(c_4772,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(multiply(multiply(inverse(inverse(C)),inverse(B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_89,c_4771]) ).

cnf(c_4773,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(multiply(multiply(C,inverse(B)),inverse(inverse(C))),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4772]) ).

cnf(c_4774,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(multiply(multiply(C,inverse(B)),C),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4773]) ).

cnf(c_4775,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(multiply(C,multiply(inverse(B),C)),inverse(inverse(B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4774]) ).

cnf(c_4776,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(multiply(C,multiply(inverse(B),C)),B),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_4775]) ).

cnf(c_4777,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(C,multiply(multiply(inverse(B),C),B)),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4776]) ).

cnf(c_4778,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(multiply(C,multiply(inverse(B),multiply(C,B))),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4777]) ).

cnf(c_4779,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(C,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(C),inverse(A))))))),
    inference(paramod,[status(thm)],[c_3,c_4778]) ).

cnf(c_4780,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(C,multiply(inverse(B),multiply(multiply(C,B),multiply(inverse(C),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_3,c_4779]) ).

cnf(c_4781,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(C,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),inverse(A))))))))),
    inference(paramod,[status(thm)],[c_3,c_4780]) ).

cnf(c_4782,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(A))))))))),
    inference(paramod,[status(thm)],[c_160,c_4781]) ).

cnf(c_4783,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(multiply(inverse(B),multiply(inverse(C),multiply(B,inverse(C)))),multiply(A,multiply(inverse(B),multiply(C,multiply(B,inverse(A))))))),
    inference(paramod,[status(thm)],[c_195,c_4782]) ).

cnf(c_4784,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(inverse(B),multiply(multiply(inverse(C),multiply(B,inverse(C))),multiply(A,multiply(inverse(B),multiply(C,multiply(B,inverse(A)))))))),
    inference(paramod,[status(thm)],[c_3,c_4783]) ).

cnf(c_4785,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(multiply(B,inverse(C)),multiply(A,multiply(inverse(B),multiply(C,multiply(B,inverse(A))))))))),
    inference(paramod,[status(thm)],[c_3,c_4784]) ).

cnf(c_4786,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(inverse(C),multiply(A,multiply(inverse(B),multiply(C,multiply(B,inverse(A)))))))))),
    inference(paramod,[status(thm)],[c_3,c_4785]) ).

cnf(c_4787,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(C),multiply(A,inverse(B)))))))))),
    inference(paramod,[status(thm)],[c_987,c_4786]) ).

cnf(c_4788,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(inverse(A),multiply(inverse(C),multiply(A,inverse(B)))))))))),
    inference(paramod,[status(thm)],[c_183,c_4787]) ).

cnf(c_4789,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(C,multiply(inverse(C),multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(A,inverse(B)))))))),
    inference(paramod,[status(thm)],[c_195,c_4788]) ).

cnf(c_2136,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))) = multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(A,inverse(B)))))),
    inference(paramod,[status(thm)],[c_53,c_4789]) ).

cnf(c_2155,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(inverse(B),multiply(A,multiply(C,multiply(inverse(A),inverse(C)))))))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_2078,c_1012]) ).

cnf(c_4790,plain,
    multiply(inverse(inverse(A)),multiply(B,multiply(A,multiply(C,multiply(inverse(A),multiply(inverse(B),inverse(C))))))) = multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,C)))),
    inference(paramod,[status(thm)],[c_184,c_9]) ).

cnf(c_2629,plain,
    multiply(A,multiply(B,multiply(A,multiply(C,multiply(inverse(A),multiply(inverse(B),inverse(C))))))) = multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,C)))),
    inference(paramod,[status(thm)],[c_57,c_4790]) ).

cnf(c_4791,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(multiply(inverse(C),multiply(inverse(A),C))),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(A)))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_136,c_184]) ).

cnf(c_4792,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(multiply(inverse(A),C)),inverse(inverse(C))),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(A)))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_89,c_4791]) ).

cnf(c_4793,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(multiply(inverse(C),inverse(inverse(A))),inverse(inverse(C))),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(A)))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_89,c_4792]) ).

cnf(c_4794,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(multiply(inverse(C),A),inverse(inverse(C))),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(A)))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_57,c_4793]) ).

cnf(c_4795,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(multiply(inverse(C),A),C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(A)))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_57,c_4794]) ).

cnf(c_4796,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),multiply(A,C)),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(A)))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4795]) ).

cnf(c_4797,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(multiply(A,C),multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(A))))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4796]) ).

cnf(c_4798,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(C,multiply(B,multiply(C,multiply(A,multiply(inverse(C),inverse(A)))))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4797]) ).

cnf(c_4799,plain,
    multiply(inverse(A),multiply(A,multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_192,c_4798]) ).

cnf(c_4800,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(A),C)))))))),
    inference(paramod,[status(thm)],[c_9,c_4799]) ).

cnf(c_4801,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),multiply(inverse(multiply(inverse(A),C)),inverse(inverse(C)))))))),
    inference(paramod,[status(thm)],[c_89,c_4800]) ).

cnf(c_4802,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),inverse(inverse(A))),inverse(inverse(C)))))))),
    inference(paramod,[status(thm)],[c_89,c_4801]) ).

cnf(c_4803,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),A),inverse(inverse(C)))))))),
    inference(paramod,[status(thm)],[c_57,c_4802]) ).

cnf(c_4804,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),multiply(multiply(inverse(C),A),C)))))),
    inference(paramod,[status(thm)],[c_57,c_4803]) ).

cnf(c_4805,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(A,multiply(multiply(inverse(C),multiply(inverse(A),C)),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(A,C))))))),
    inference(paramod,[status(thm)],[c_3,c_4804]) ).

cnf(c_4806,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(A,multiply(inverse(C),multiply(multiply(inverse(A),C),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(A,C)))))))),
    inference(paramod,[status(thm)],[c_3,c_4805]) ).

cnf(c_4807,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(A,C))))))))),
    inference(paramod,[status(thm)],[c_3,c_4806]) ).

cnf(c_4808,plain,
    multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))) = multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,C))))))),
    inference(paramod,[status(thm)],[c_390,c_4807]) ).

cnf(c_2635,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),A))))) = multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_2078,c_4808]) ).

cnf(c_2721,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,A))))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,B))))),
    inference(paramod,[status(thm)],[c_2629,c_2090]) ).

cnf(c_4809,plain,
    multiply(inverse(A),multiply(inverse(B),multiply(B,multiply(C,multiply(A,multiply(inverse(B),multiply(inverse(A),inverse(C)))))))) = multiply(inverse(B),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,A))))))),
    inference(paramod,[status(thm)],[c_185,c_516]) ).

cnf(c_4810,plain,
    multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(B),multiply(inverse(A),inverse(C)))))) = multiply(inverse(B),multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,A))))))),
    inference(paramod,[status(thm)],[c_9,c_4809]) ).

cnf(c_4811,plain,
    multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(B),multiply(inverse(A),inverse(C)))))) = multiply(inverse(B),multiply(inverse(A),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),A))))))),
    inference(paramod,[status(thm)],[c_183,c_4810]) ).

cnf(c_4812,plain,
    multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(B),multiply(inverse(A),inverse(C)))))) = multiply(inverse(B),multiply(inverse(A),multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_2635,c_4811]) ).

cnf(c_4813,plain,
    multiply(inverse(A),multiply(C,multiply(A,multiply(inverse(B),multiply(inverse(A),inverse(C)))))) = multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(A)))))),
    inference(paramod,[status(thm)],[c_9,c_4812]) ).

cnf(c_2739,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),inverse(B)))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A)))),
    inference(paramod,[status(thm)],[c_9,c_4813]) ).

cnf(c_2759,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,inverse(B)))))))) = multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(A),inverse(B)))))),
    inference(paramod,[status(thm)],[c_2739,c_1579]) ).

cnf(c_2766,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(inverse(C),multiply(inverse(A),C))))))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_2759,c_1029]) ).

cnf(c_4814,plain,
    multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_314,c_136]) ).

cnf(c_4815,plain,
    multiply(A,multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(B),C))),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_89,c_4814]) ).

cnf(c_4816,plain,
    multiply(A,multiply(multiply(multiply(inverse(multiply(inverse(B),C)),inverse(inverse(A))),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_89,c_4815]) ).

cnf(c_4817,plain,
    multiply(A,multiply(multiply(multiply(multiply(inverse(C),inverse(inverse(B))),inverse(inverse(A))),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_89,c_4816]) ).

cnf(c_4818,plain,
    multiply(A,multiply(multiply(multiply(multiply(inverse(C),B),inverse(inverse(A))),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_57,c_4817]) ).

cnf(c_4819,plain,
    multiply(A,multiply(multiply(multiply(multiply(inverse(C),B),A),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_57,c_4818]) ).

cnf(c_4820,plain,
    multiply(A,multiply(multiply(multiply(inverse(C),multiply(B,A)),inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4819]) ).

cnf(c_4821,plain,
    multiply(A,multiply(multiply(inverse(C),multiply(multiply(B,A),inverse(B))),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4820]) ).

cnf(c_4822,plain,
    multiply(A,multiply(multiply(inverse(C),multiply(B,multiply(A,inverse(B)))),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4821]) ).

cnf(c_4823,plain,
    multiply(A,multiply(inverse(C),multiply(multiply(B,multiply(A,inverse(B))),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C))))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4822]) ).

cnf(c_4824,plain,
    multiply(A,multiply(inverse(C),multiply(B,multiply(multiply(A,inverse(B)),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C)))))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4823]) ).

cnf(c_4825,plain,
    multiply(A,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(B),multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C))))))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4824]) ).

cnf(c_4826,plain,
    multiply(A,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),C))))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_9,c_4825]) ).

cnf(c_4827,plain,
    multiply(A,multiply(inverse(C),multiply(B,multiply(inverse(B),multiply(inverse(A),C))))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_53,c_4826]) ).

cnf(c_4828,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_53,c_4827]) ).

cnf(c_4829,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(B),C))),inverse(B)),inverse(A)))),
    inference(paramod,[status(thm)],[c_89,c_4828]) ).

cnf(c_4830,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(inverse(multiply(inverse(B),C)),inverse(inverse(A))),inverse(B)),inverse(A)))),
    inference(paramod,[status(thm)],[c_89,c_4829]) ).

cnf(c_4831,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(multiply(inverse(C),inverse(inverse(B))),inverse(inverse(A))),inverse(B)),inverse(A)))),
    inference(paramod,[status(thm)],[c_89,c_4830]) ).

cnf(c_4832,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(multiply(inverse(C),B),inverse(inverse(A))),inverse(B)),inverse(A)))),
    inference(paramod,[status(thm)],[c_57,c_4831]) ).

cnf(c_4833,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(multiply(inverse(C),B),A),inverse(B)),inverse(A)))),
    inference(paramod,[status(thm)],[c_57,c_4832]) ).

cnf(c_4834,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(multiply(multiply(inverse(C),multiply(B,A)),inverse(B)),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4833]) ).

cnf(c_4835,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(multiply(inverse(C),multiply(multiply(B,A),inverse(B))),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4834]) ).

cnf(c_4836,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(multiply(inverse(C),multiply(B,multiply(A,inverse(B)))),inverse(A)))),
    inference(paramod,[status(thm)],[c_3,c_4835]) ).

cnf(c_4837,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(C),multiply(multiply(B,multiply(A,inverse(B))),inverse(A))))),
    inference(paramod,[status(thm)],[c_3,c_4836]) ).

cnf(c_4838,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(C),multiply(B,multiply(multiply(A,inverse(B)),inverse(A)))))),
    inference(paramod,[status(thm)],[c_3,c_4837]) ).

cnf(c_4839,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(A,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))),
    inference(paramod,[status(thm)],[c_3,c_4838]) ).

cnf(c_4840,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),C)),multiply(A,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))))),
    inference(paramod,[status(thm)],[c_3,c_4839]) ).

cnf(c_4841,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(B,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(A,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(B),inverse(A))))))))),
    inference(paramod,[status(thm)],[c_3,c_4840]) ).

cnf(c_4842,plain,
    multiply(A,multiply(inverse(C),multiply(inverse(A),C))) = multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(A,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(B),inverse(A)))))))))),
    inference(paramod,[status(thm)],[c_3,c_4841]) ).

cnf(c_2777,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),inverse(B)))))))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),C))),
    inference(copy,[status(thm)],[c_4842]) ).

cnf(c_4843,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(A,D)))))) = multiply(inverse(multiply(B,C)),multiply(A,multiply(multiply(B,C),D))),
    inference(paramod,[status(thm)],[c_3,c_195]) ).

cnf(c_4844,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(multiply(inverse(C),inverse(B)),multiply(A,D)))))) = multiply(inverse(multiply(B,C)),multiply(A,multiply(multiply(B,C),D))),
    inference(paramod,[status(thm)],[c_89,c_4843]) ).

cnf(c_4845,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,D))))))) = multiply(inverse(multiply(B,C)),multiply(A,multiply(multiply(B,C),D))),
    inference(paramod,[status(thm)],[c_3,c_4844]) ).

cnf(c_4846,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,D))))))) = multiply(multiply(inverse(C),inverse(B)),multiply(A,multiply(multiply(B,C),D))),
    inference(paramod,[status(thm)],[c_89,c_4845]) ).

cnf(c_4847,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,D))))))) = multiply(multiply(inverse(C),inverse(B)),multiply(A,multiply(B,multiply(C,D)))),
    inference(paramod,[status(thm)],[c_3,c_4846]) ).

cnf(c_3144,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(A,D))))))) = multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(B,multiply(C,D))))),
    inference(paramod,[status(thm)],[c_3,c_4847]) ).

cnf(c_4848,plain,
    multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(B,multiply(C,multiply(inverse(C),multiply(inverse(A),C))))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_3144,c_2766]) ).

cnf(c_4849,plain,
    multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(A),C))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_53,c_4848]) ).

cnf(c_3269,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,A))))) = multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A)))))),
    inference(paramod,[status(thm)],[c_160,c_4849]) ).

cnf(c_3278,plain,
    multiply(A,multiply(B,multiply(A,multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),inverse(A)))))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,B))))),
    inference(paramod,[status(thm)],[c_3269,c_2721]) ).

cnf(c_4850,plain,
    multiply(A,multiply(inverse(B),multiply(B,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(A),inverse(B)))))))) = multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_3269,c_2107]) ).

cnf(c_4851,plain,
    multiply(A,multiply(C,multiply(A,multiply(inverse(C),multiply(inverse(A),inverse(B)))))) = multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_9,c_4850]) ).

cnf(c_4852,plain,
    multiply(C,multiply(A,multiply(inverse(C),inverse(B)))) = multiply(inverse(B),multiply(C,multiply(B,multiply(A,multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_193,c_4851]) ).

cnf(c_3287,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(C,multiply(inverse(A),inverse(B)))))) = multiply(B,multiply(C,multiply(inverse(B),inverse(A)))),
    inference(copy,[status(thm)],[c_4852]) ).

cnf(c_4853,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_203,c_188]) ).

cnf(c_4854,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(multiply(C,B)),inverse(inverse(B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_89,c_4853]) ).

cnf(c_4855,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(multiply(inverse(B),inverse(C)),inverse(inverse(B))),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_89,c_4854]) ).

cnf(c_4856,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(multiply(inverse(B),inverse(C)),B),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_57,c_4855]) ).

cnf(c_4857,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4856]) ).

cnf(c_4858,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(multiply(inverse(multiply(C,B)),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_89,c_4857]) ).

cnf(c_4859,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(multiply(multiply(inverse(B),inverse(C)),inverse(inverse(B))),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_89,c_4858]) ).

cnf(c_4860,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(multiply(multiply(inverse(B),inverse(C)),B),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_57,c_4859]) ).

cnf(c_4861,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4860]) ).

cnf(c_4862,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(inverse(B),multiply(multiply(inverse(C),B),multiply(inverse(C),multiply(inverse(B),multiply(C,C))))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4861]) ).

cnf(c_4863,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,C)))))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4862]) ).

cnf(c_4864,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(inverse(B),multiply(C,B)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_198,c_4863]) ).

cnf(c_4865,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),inverse(B))))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_164,c_4864]) ).

cnf(c_4866,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(B))))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_160,c_4865]) ).

cnf(c_4867,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_181,c_4866]) ).

cnf(c_4868,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(inverse(B),multiply(multiply(inverse(C),B),multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4867]) ).

cnf(c_4869,plain,
    multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4868]) ).

cnf(c_4870,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(B),multiply(multiply(C,B),multiply(inverse(B),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C))))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4869]) ).

cnf(c_4871,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4870]) ).

cnf(c_4872,plain,
    multiply(inverse(A),multiply(B,multiply(inverse(B),multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_53,c_4871]) ).

cnf(c_4873,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_227,c_4872]) ).

cnf(c_4874,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(multiply(C,B)),inverse(inverse(B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_89,c_4873]) ).

cnf(c_4875,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(multiply(inverse(B),inverse(C)),inverse(inverse(B))),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_89,c_4874]) ).

cnf(c_4876,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(multiply(inverse(B),inverse(C)),B),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_57,c_4875]) ).

cnf(c_4877,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4876]) ).

cnf(c_4878,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),multiply(inverse(multiply(C,B)),inverse(inverse(B))))))))))),
    inference(paramod,[status(thm)],[c_89,c_4877]) ).

cnf(c_4879,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),multiply(multiply(inverse(B),inverse(C)),inverse(inverse(B))))))))))),
    inference(paramod,[status(thm)],[c_89,c_4878]) ).

cnf(c_4880,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),multiply(multiply(inverse(B),inverse(C)),B))))))))),
    inference(paramod,[status(thm)],[c_57,c_4879]) ).

cnf(c_4881,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))))))),
    inference(paramod,[status(thm)],[c_3,c_4880]) ).

cnf(c_4882,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(multiply(C,B),multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4881]) ).

cnf(c_4883,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(inverse(C),B)))))))))))),
    inference(paramod,[status(thm)],[c_3,c_4882]) ).

cnf(c_4884,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(A,inverse(B))))))))))),
    inference(paramod,[status(thm)],[c_2136,c_4883]) ).

cnf(c_4885,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(inverse(A),multiply(C,multiply(inverse(A),multiply(inverse(C),multiply(A,inverse(B))))))))),
    inference(paramod,[status(thm)],[c_9,c_4884]) ).

cnf(c_4886,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(multiply(inverse(B),multiply(inverse(C),B)),multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B))))))),
    inference(paramod,[status(thm)],[c_227,c_4885]) ).

cnf(c_4887,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(B),multiply(multiply(inverse(C),B),multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B)))))))),
    inference(paramod,[status(thm)],[c_3,c_4886]) ).

cnf(c_4888,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(B,multiply(C,multiply(inverse(A),multiply(inverse(C),inverse(B))))))))),
    inference(paramod,[status(thm)],[c_3,c_4887]) ).

cnf(c_4889,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(B),multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C))))))),
    inference(paramod,[status(thm)],[c_3287,c_4888]) ).

cnf(c_4890,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(A,multiply(inverse(A),multiply(inverse(B),inverse(C))))),
    inference(paramod,[status(thm)],[c_9,c_4889]) ).

cnf(c_4891,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(multiply(inverse(B),multiply(C,B)),multiply(inverse(B),inverse(C))),
    inference(paramod,[status(thm)],[c_53,c_4890]) ).

cnf(c_4892,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(inverse(B),multiply(multiply(C,B),multiply(inverse(B),inverse(C)))),
    inference(paramod,[status(thm)],[c_3,c_4891]) ).

cnf(c_4893,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(B),inverse(C))))),
    inference(paramod,[status(thm)],[c_3,c_4892]) ).

cnf(c_4894,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(inverse(B),multiply(C,inverse(C))),
    inference(paramod,[status(thm)],[c_53,c_4893]) ).

cnf(c_4895,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = multiply(inverse(B),identity),
    inference(paramod,[status(thm)],[c_49,c_4894]) ).

cnf(c_3374,plain,
    multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),multiply(A,multiply(inverse(C),multiply(inverse(B),C)))))))) = inverse(B),
    inference(paramod,[status(thm)],[c_32,c_4895]) ).

cnf(c_4896,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(A),multiply(C,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(A,multiply(inverse(B),multiply(inverse(C),B))))))))))) = multiply(B,multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),inverse(B)))))))))),
    inference(paramod,[status(thm)],[c_188,c_279]) ).

cnf(c_4897,plain,
    multiply(A,multiply(B,multiply(inverse(A),inverse(C)))) = multiply(B,multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),inverse(B)))))))))),
    inference(paramod,[status(thm)],[c_3374,c_4896]) ).

cnf(c_4898,plain,
    multiply(A,multiply(B,multiply(inverse(A),inverse(C)))) = multiply(B,multiply(A,multiply(inverse(A),multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),inverse(B)))))))),
    inference(paramod,[status(thm)],[c_53,c_4897]) ).

cnf(c_4899,plain,
    multiply(A,multiply(B,multiply(inverse(A),inverse(C)))) = multiply(B,multiply(inverse(C),multiply(A,multiply(B,multiply(inverse(A),inverse(B)))))),
    inference(paramod,[status(thm)],[c_53,c_4898]) ).

cnf(c_3407,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(A,multiply(inverse(C),inverse(A)))))) = multiply(C,multiply(A,multiply(inverse(C),inverse(B)))),
    inference(copy,[status(thm)],[c_4899]) ).

cnf(c_4900,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(A),multiply(A,multiply(C,multiply(inverse(A),inverse(B)))))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_3407,c_2155]) ).

cnf(c_4901,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(C,multiply(inverse(A),inverse(B)))))) = multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_9,c_4900]) ).

cnf(c_4902,plain,
    multiply(A,multiply(B,multiply(inverse(A),inverse(B)))) = multiply(C,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),inverse(C)))))),
    inference(paramod,[status(thm)],[c_9,c_4901]) ).

cnf(c_3429,plain,
    multiply(A,multiply(B,multiply(C,multiply(inverse(B),multiply(inverse(C),inverse(A)))))) = multiply(B,multiply(C,multiply(inverse(B),inverse(C)))),
    inference(copy,[status(thm)],[c_4902]) ).

cnf(c_4903,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(C,multiply(A,multiply(B,multiply(inverse(A),inverse(C)))))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),C))),
    inference(paramod,[status(thm)],[c_3407,c_2777]) ).

cnf(c_4904,plain,
    multiply(A,multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),inverse(A)))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),C))),
    inference(paramod,[status(thm)],[c_3287,c_4903]) ).

cnf(c_3436,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,inverse(A)))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),C))),
    inference(paramod,[status(thm)],[c_160,c_4904]) ).

cnf(c_4905,plain,
    multiply(A,multiply(B,multiply(C,multiply(B,multiply(inverse(C),inverse(B)))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,B))))),
    inference(paramod,[status(thm)],[c_3429,c_3278]) ).

cnf(c_4906,plain,
    multiply(A,multiply(C,multiply(B,inverse(C)))) = multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,B))))),
    inference(paramod,[status(thm)],[c_167,c_4905]) ).

cnf(c_3453,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,A))))) = multiply(C,multiply(B,multiply(A,inverse(B)))),
    inference(copy,[status(thm)],[c_4906]) ).

cnf(c_3505,plain,
    multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C)))))) = multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),C)))),
    inference(paramod,[status(thm)],[c_3436,c_1956]) ).

cnf(c_3507,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),C))))) = multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3436,c_1007]) ).

cnf(c_4907,plain,
    multiply(A,multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(inverse(A),multiply(C,C))))))) = multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(C,A))))),
    inference(paramod,[status(thm)],[c_203,c_193]) ).

cnf(c_4908,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,multiply(C,A))))) = multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(C,A))))),
    inference(paramod,[status(thm)],[c_640,c_4907]) ).

cnf(c_4909,plain,
    multiply(C,multiply(B,multiply(A,inverse(B)))) = multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(C,A))))),
    inference(paramod,[status(thm)],[c_3453,c_4908]) ).

cnf(c_3546,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(C,B))))) = multiply(C,multiply(A,multiply(B,inverse(A)))),
    inference(copy,[status(thm)],[c_4909]) ).

cnf(c_4910,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_193,c_256]) ).

cnf(c_4911,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(inverse(multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_89,c_4910]) ).

cnf(c_4912,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(B),C))),inverse(B)),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_89,c_4911]) ).

cnf(c_4913,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(multiply(multiply(inverse(multiply(inverse(B),C)),inverse(inverse(A))),inverse(B)),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_89,c_4912]) ).

cnf(c_4914,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(multiply(multiply(multiply(inverse(C),inverse(inverse(B))),inverse(inverse(A))),inverse(B)),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_89,c_4913]) ).

cnf(c_4915,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(multiply(multiply(multiply(inverse(C),B),inverse(inverse(A))),inverse(B)),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_57,c_4914]) ).

cnf(c_4916,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(multiply(multiply(multiply(inverse(C),B),A),inverse(B)),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_57,c_4915]) ).

cnf(c_4917,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(multiply(multiply(inverse(C),multiply(B,A)),inverse(B)),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4916]) ).

cnf(c_4918,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(multiply(inverse(C),multiply(multiply(B,A),inverse(B))),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4917]) ).

cnf(c_4919,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(multiply(inverse(C),multiply(B,multiply(A,inverse(B)))),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4918]) ).

cnf(c_4920,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(inverse(C),multiply(multiply(B,multiply(A,inverse(B))),inverse(A))),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4919]) ).

cnf(c_4921,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(inverse(C),multiply(B,multiply(multiply(A,inverse(B)),inverse(A)))),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4920]) ).

cnf(c_4922,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(B),inverse(A))))),multiply(A,multiply(B,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4921]) ).

cnf(c_4923,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(C),multiply(multiply(B,multiply(A,multiply(inverse(B),inverse(A)))),multiply(A,multiply(B,multiply(inverse(A),C))))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4922]) ).

cnf(c_4924,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(C),multiply(B,multiply(multiply(A,multiply(inverse(B),inverse(A))),multiply(A,multiply(B,multiply(inverse(A),C)))))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4923]) ).

cnf(c_4925,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(C),multiply(B,multiply(A,multiply(multiply(inverse(B),inverse(A)),multiply(A,multiply(B,multiply(inverse(A),C))))))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4924]) ).

cnf(c_4926,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(A),C)))))))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4925]) ).

cnf(c_4927,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(B),multiply(B,multiply(inverse(A),C)))))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_9,c_4926]) ).

cnf(c_4928,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(A),C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_9,c_4927]) ).

cnf(c_4929,plain,
    multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(B,multiply(inverse(C),multiply(B,C)))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_53,c_4928]) ).

cnf(c_4930,plain,
    multiply(A,multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),multiply(B,multiply(inverse(C),multiply(B,C))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4929]) ).

cnf(c_4931,plain,
    multiply(A,multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),C)),multiply(B,multiply(inverse(C),multiply(B,C)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4930]) ).

cnf(c_4932,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(B,multiply(inverse(C),multiply(B,C))))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4931]) ).

cnf(c_4933,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(C,multiply(B,multiply(inverse(C),multiply(B,C)))))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_3,c_4932]) ).

cnf(c_4934,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(B,multiply(C,B)))))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_256,c_4933]) ).

cnf(c_4935,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(C,B)))) = multiply(B,multiply(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),B)),
    inference(paramod,[status(thm)],[c_9,c_4934]) ).

cnf(c_4936,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(C,B)))) = multiply(B,multiply(A,multiply(multiply(B,multiply(inverse(A),multiply(inverse(B),C))),B))),
    inference(paramod,[status(thm)],[c_3,c_4935]) ).

cnf(c_4937,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(C,B)))) = multiply(B,multiply(A,multiply(B,multiply(multiply(inverse(A),multiply(inverse(B),C)),B)))),
    inference(paramod,[status(thm)],[c_3,c_4936]) ).

cnf(c_4938,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(C,B)))) = multiply(B,multiply(A,multiply(B,multiply(inverse(A),multiply(multiply(inverse(B),C),B))))),
    inference(paramod,[status(thm)],[c_3,c_4937]) ).

cnf(c_4939,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(C,B)))) = multiply(B,multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),multiply(C,B)))))),
    inference(paramod,[status(thm)],[c_3,c_4938]) ).

cnf(c_3549,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(C,B)))) = multiply(B,multiply(C,multiply(A,multiply(B,inverse(A))))),
    inference(paramod,[status(thm)],[c_3546,c_4939]) ).

cnf(c_4940,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(C,B)))) = multiply(B,multiply(C,multiply(inverse(A),multiply(B,inverse(inverse(A)))))),
    inference(paramod,[status(thm)],[c_57,c_3549]) ).

cnf(c_3639,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(C,B)))) = multiply(B,multiply(C,multiply(inverse(A),multiply(B,A)))),
    inference(paramod,[status(thm)],[c_57,c_4940]) ).

cnf(c_4941,plain,
    multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,multiply(A,inverse(B)))))))) = multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),C))))),
    inference(paramod,[status(thm)],[c_3639,c_195]) ).

cnf(c_4942,plain,
    multiply(A,multiply(inverse(A),multiply(inverse(C),multiply(inverse(B),multiply(C,A))))) = multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),C))))),
    inference(paramod,[status(thm)],[c_1123,c_4941]) ).

cnf(c_4943,plain,
    multiply(inverse(C),multiply(inverse(B),multiply(C,A))) = multiply(inverse(B),multiply(A,multiply(B,multiply(inverse(C),multiply(inverse(B),C))))),
    inference(paramod,[status(thm)],[c_53,c_4942]) ).

cnf(c_3986,plain,
    multiply(inverse(A),multiply(B,multiply(A,multiply(inverse(C),multiply(inverse(A),C))))) = multiply(inverse(C),multiply(inverse(A),multiply(C,B))),
    inference(copy,[status(thm)],[c_4943]) ).

cnf(c_4944,plain,
    multiply(inverse(C),multiply(inverse(A),multiply(C,B))) = multiply(B,multiply(inverse(C),multiply(inverse(B),multiply(inverse(A),multiply(B,C))))),
    inference(paramod,[status(thm)],[c_3986,c_3507]) ).

cnf(c_4026,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(inverse(C),multiply(A,B))))) = multiply(inverse(B),multiply(inverse(C),multiply(B,A))),
    inference(copy,[status(thm)],[c_4944]) ).

cnf(c_4035,plain,
    multiply(A,multiply(inverse(B),multiply(inverse(A),multiply(B,C)))) = multiply(C,multiply(A,multiply(inverse(B),multiply(inverse(A),B)))),
    inference(paramod,[status(thm)],[c_4026,c_3505]) ).

cnf(c_4036,plain,
    $false,
    inference(resolve,[status(thm)],[c_4035,c_1331]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP024-5 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38  % Computer : n010.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.39  % WCLimit  : 300
% 0.09/0.39  % DateTime : Fri Sep 25 14:17:46 UTC 2026
% 0.09/0.39  % CPUTime  : 
% 0.09/0.39  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.39  % Process 939421 was started by sandbox on n010,
% 0.09/0.39  % Fri Sep 25 14:17:46 2026
% 0.09/0.39  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.39  
% 0.09/0.39  % From the command line: assign(max_seconds, 300).
% 212.47/34.09  
% 212.47/34.09  % Assigning unary symbol inverse kb_weight 0 and highest precedence (8).
% 212.47/34.09  
% 212.47/34.09  % SZS status Unsatisfiable for theBenchmark
% 212.47/34.09  
% 212.47/34.09  % Proof 1 at 2.48 (+ 0.31) seconds.
% 212.47/34.09  % Length of proof is 136.
% 212.47/34.09  % Level of proof is 37.
% 212.47/34.09  % Maximum clause weight is 99.000.
% 212.47/34.09  % Given clauses 102.
% 212.47/34.09  
% 212.47/34.09  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------