LisaST---0.9.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : GRP576-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 07:24:04 AM UTC 2026

% Result   : Unsatisfiable 43.15s 7.01s
% Output   : CNFRefutation 43.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  105
%            Number of leaves      :    5
% Syntax   : Number of clauses     :  466 ( 466 unt;   0 nHn;  14 RR)
%            Number of literals    :  466 ( 465 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   17 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   : 1680 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),'double$udivide'(X2,identity))),'double$udivide'(identity,identity)) = X1 ).

cnf(multiply,axiom,
    multiply(X0,X1) = 'double$udivide'('double$udivide'(X1,X0),identity) ).

cnf(inverse,axiom,
    inverse(X0) = 'double$udivide'(X0,identity) ).

cnf(identity,axiom,
    identity = 'double$udivide'(X0,inverse(X0)) ).

cnf(prove_these_axioms_4,negated_conjecture,
    multiply(a,b) != multiply(b,a) ).

cnf(c0,plain,
    'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),'double$udivide'(X2,identity))),'double$udivide'(identity,identity)) = X1,
    inference(clausification,[status(esa)],[single_axiom]) ).

cnf(c1,plain,
    multiply(X0,X1) = 'double$udivide'('double$udivide'(X1,X0),identity),
    inference(clausification,[status(esa)],[multiply]) ).

cnf(c2,plain,
    inverse(X0) = 'double$udivide'(X0,identity),
    inference(clausification,[status(esa)],[inverse]) ).

cnf(c3,plain,
    identity = 'double$udivide'(X0,inverse(X0)),
    inference(clausification,[status(esa)],[identity]) ).

cnf(c4,plain,
    multiply(a,b) != multiply(b,a),
    inference(clausification,[status(esa)],[prove_these_axioms_4]) ).

cnf(d0,plain,
    multiply(X1,X0) = inverse('double$udivide'(X0,X1)),
    inference(demodulation,[status(thm)],[c1,c2]) ).

cnf(d1,plain,
    multiply(identity,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c2,d0]) ).

cnf(d2,plain,
    'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X2,'double$udivide'(X0,X1)),inverse(X0))),'double$udivide'(identity,identity)) = X2,
    inference(demodulation,[status(thm)],[c0,c2]) ).

cnf(d3,plain,
    'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d2,c2]) ).

cnf(d4,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,inverse(X0)),inverse(X0))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c2,d3]) ).

cnf(d5,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,inverse(X0))),inverse(identity)) = X0,
    inference(superposition,[status(thm)],[c3,d4]) ).

cnf(d6,plain,
    'double$udivide'('double$udivide'(inverse(X0),'double$udivide'('double$udivide'(X1,identity),inverse(X0))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c3,d3]) ).

cnf(d7,plain,
    'double$udivide'('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d6,c2]) ).

cnf(d8,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X1,inverse(identity))),inverse(identity)) = 'double$udivide'(inverse(X0),'double$udivide'(inverse(X1),inverse(X0))),
    inference(superposition,[status(thm)],[d7,d4]) ).

cnf(d9,plain,
    'double$udivide'(inverse(X0),'double$udivide'(inverse(identity),inverse(X0))) = identity,
    inference(superposition,[status(thm)],[d8,d5]) ).

cnf(d10,plain,
    'double$udivide'(inverse(inverse(identity)),identity) = identity,
    inference(superposition,[status(thm)],[c3,d9]) ).

cnf(d11,plain,
    inverse(inverse(inverse(identity))) = identity,
    inference(demodulation,[status(thm)],[d10,c2]) ).

cnf(d12,plain,
    multiply(identity,inverse(identity)) = identity,
    inference(demodulation,[status(thm)],[d11,d1]) ).

cnf(d13,plain,
    multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[status(thm)],[c3,d0]) ).

cnf(d14,plain,
    multiply(multiply(identity,X0),inverse(X0)) = inverse(identity),
    inference(superposition,[status(thm)],[d1,d13]) ).

cnf(d15,plain,
    'double$udivide'('double$udivide'(identity,identity),inverse(identity)) = identity,
    inference(superposition,[status(thm)],[c3,d5]) ).

cnf(d16,plain,
    'double$udivide'(inverse(identity),inverse(identity)) = identity,
    inference(demodulation,[status(thm)],[d15,c2]) ).

cnf(d17,plain,
    'double$udivide'('double$udivide'(inverse(X0),X0),inverse(identity)) = identity,
    inference(superposition,[status(thm)],[d5,d3]) ).

cnf(d18,plain,
    'double$udivide'('double$udivide'(identity,identity),inverse(identity)) = inverse(inverse(identity)),
    inference(superposition,[status(thm)],[d17,d4]) ).

cnf(d19,plain,
    'double$udivide'(inverse(identity),inverse(identity)) = inverse(inverse(identity)),
    inference(demodulation,[status(thm)],[d18,c2]) ).

cnf(d20,plain,
    identity = inverse(inverse(identity)),
    inference(demodulation,[status(thm)],[d19,d16]) ).

cnf(d21,plain,
    identity = multiply(identity,identity),
    inference(demodulation,[status(thm)],[d20,d1]) ).

cnf(d22,plain,
    multiply(identity,inverse(identity)) = inverse(identity),
    inference(superposition,[status(thm)],[d21,d14]) ).

cnf(d23,plain,
    identity = inverse(identity),
    inference(demodulation,[status(thm)],[d22,d12]) ).

cnf(d24,plain,
    multiply(identity,'double$udivide'(X0,X1)) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[d0,d1]) ).

cnf(d25,plain,
    'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(X0,X1),X2)),multiply(X1,X0))),inverse(identity)) = X3,
    inference(superposition,[status(thm)],[d0,d3]) ).

cnf(d26,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X1),inverse('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)))))),inverse(identity)) = X3,
    inference(superposition,[status(thm)],[d3,d3]) ).

cnf(d27,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)),X0))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d26,d0]) ).

cnf(d28,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,X0),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))))),inverse(identity)))),inverse(identity)) = X4,
    inference(superposition,[status(thm)],[d27,d27]) ).

cnf(d29,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,X0),multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)),inverse(identity))),inverse(identity)))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d28,d0]) ).

cnf(d30,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X6,X0),multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity))),inverse(identity)))),inverse(identity)) = X6,
    inference(superposition,[status(thm)],[d29,d25]) ).

cnf(d31,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6)),inverse(identity))),inverse(identity))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d30,d23]) ).

cnf(d32,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6)),identity)),inverse(identity))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d31,d23]) ).

cnf(d33,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6)),identity)),identity)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d32,d23]) ).

cnf(d34,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6)),identity)),identity)),identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d33,d23]) ).

cnf(d35,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6)),identity)),identity)),identity))),identity) = X0,
    inference(demodulation,[status(thm)],[d34,d23]) ).

cnf(d36,plain,
    inverse('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6)),identity)),identity)),identity)))) = X0,
    inference(demodulation,[status(thm)],[d35,c2]) ).

cnf(d37,plain,
    multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6)),identity)),identity)),identity)),identity) = X0,
    inference(demodulation,[status(thm)],[d36,d0]) ).

cnf(d38,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X6,X7),multiply('double$udivide'('double$udivide'(X7,X0),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity)))))),inverse(identity)))),inverse(identity)) = X6,
    inference(superposition,[status(thm)],[d29,d27]) ).

cnf(d39,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity))),inverse(identity)))))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d38,d23]) ).

cnf(d40,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X6,X7),multiply('double$udivide'('double$udivide'(X7,X0),multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity))),inverse(identity))),inverse(identity)))),inverse(identity)) = X6,
    inference(demodulation,[status(thm)],[d39,d0]) ).

cnf(d41,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),identity)),inverse(identity))),inverse(identity))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d40,d23]) ).

cnf(d42,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),identity)),identity)),inverse(identity))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d41,d23]) ).

cnf(d43,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),identity)),identity)),identity)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d42,d23]) ).

cnf(d44,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),identity)),identity)),identity)),identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d43,d23]) ).

cnf(d45,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X7,X0),X0)),inverse(identity)) = X7,
    inference(demodulation,[status(thm)],[d44,d37]) ).

cnf(d46,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),X1)),identity) = X0,
    inference(demodulation,[status(thm)],[d45,d23]) ).

cnf(d47,plain,
    inverse('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),X1))) = X0,
    inference(demodulation,[status(thm)],[d46,c2]) ).

cnf(d48,plain,
    multiply('double$udivide'('double$udivide'(X0,X1),X1),identity) = X0,
    inference(demodulation,[status(thm)],[d47,d0]) ).

cnf(d49,plain,
    multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity))))) = inverse(X0),
    inference(superposition,[status(thm)],[d29,d0]) ).

cnf(d50,plain,
    multiply(identity,'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity))))) = inverse(X0),
    inference(demodulation,[status(thm)],[d49,d23]) ).

cnf(d51,plain,
    inverse(multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity))),inverse(identity))) = inverse(X0),
    inference(demodulation,[status(thm)],[d50,d24]) ).

cnf(d52,plain,
    inverse(multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),identity)),inverse(identity))),inverse(identity))) = inverse(X0),
    inference(demodulation,[status(thm)],[d51,d23]) ).

cnf(d53,plain,
    inverse(multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),identity)),identity)),inverse(identity))) = inverse(X0),
    inference(demodulation,[status(thm)],[d52,d23]) ).

cnf(d54,plain,
    inverse(multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),identity)),identity)),identity)) = inverse(X0),
    inference(demodulation,[status(thm)],[d53,d23]) ).

cnf(d55,plain,
    'double$udivide'('double$udivide'(X6,'double$udivide'('double$udivide'(X7,'double$udivide'(X0,X6)),multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity))))))),inverse(identity)) = X7,
    inference(superposition,[status(thm)],[d29,d25]) ).

cnf(d56,plain,
    'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),multiply(identity,'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity))),inverse(identity))))))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d55,d23]) ).

cnf(d57,plain,
    'double$udivide'('double$udivide'(X6,'double$udivide'('double$udivide'(X7,'double$udivide'(X0,X6)),inverse(multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity))),inverse(identity))))),inverse(identity)) = X7,
    inference(demodulation,[status(thm)],[d56,d24]) ).

cnf(d58,plain,
    'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),identity)),inverse(identity))),inverse(identity))))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d57,d23]) ).

cnf(d59,plain,
    'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),identity)),identity)),inverse(identity))))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d58,d23]) ).

cnf(d60,plain,
    'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),identity)),identity)),identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d59,d23]) ).

cnf(d61,plain,
    'double$udivide'('double$udivide'(X6,'double$udivide'('double$udivide'(X7,'double$udivide'(X0,X6)),inverse(X0))),inverse(identity)) = X7,
    inference(demodulation,[status(thm)],[d60,d54]) ).

cnf(d62,plain,
    'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2))),identity) = X1,
    inference(demodulation,[status(thm)],[d61,d23]) ).

cnf(d63,plain,
    inverse('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)))) = X1,
    inference(demodulation,[status(thm)],[d62,c2]) ).

cnf(d64,plain,
    multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)),X0) = X1,
    inference(demodulation,[status(thm)],[d63,d0]) ).

cnf(d65,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(inverse(X0),multiply('double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity))),inverse(identity)))),inverse(identity)) = X0,
    inference(superposition,[status(thm)],[c2,d29]) ).

cnf(d66,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(X0),multiply('double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d65,d23]) ).

cnf(d67,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(X3),multiply('double$udivide'('double$udivide'(identity,X4),multiply('double$udivide'('double$udivide'(X4,X0),X0),inverse(identity))),inverse(identity)))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d66,d64]) ).

cnf(d68,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(X0),multiply('double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,X2),X2),identity)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d67,d23]) ).

cnf(d69,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(X2),multiply('double$udivide'('double$udivide'(identity,X0),X0),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d68,d48]) ).

cnf(d70,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(X0),multiply('double$udivide'('double$udivide'(identity,X1),X1),identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d69,d23]) ).

cnf(d71,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(X1),identity)),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d70,d48]) ).

cnf(d72,plain,
    'double$udivide'('double$udivide'(identity,inverse(inverse(X0))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d71,c2]) ).

cnf(d73,plain,
    'double$udivide'('double$udivide'(identity,multiply(identity,X0)),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d72,d1]) ).

cnf(d74,plain,
    'double$udivide'('double$udivide'(identity,multiply(identity,X0)),identity) = X0,
    inference(demodulation,[status(thm)],[d73,d23]) ).

cnf(d75,plain,
    inverse('double$udivide'(identity,multiply(identity,X0))) = X0,
    inference(demodulation,[status(thm)],[d74,c2]) ).

cnf(d76,plain,
    multiply(multiply(identity,X0),identity) = X0,
    inference(demodulation,[status(thm)],[d75,d0]) ).

cnf(d77,plain,
    identity = 'double$udivide'('double$udivide'(X0,X1),multiply(X1,X0)),
    inference(superposition,[status(thm)],[d0,c3]) ).

cnf(d78,plain,
    'double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'('double$udivide'(X2,identity),inverse('double$udivide'(X0,X1)))),inverse(identity)) = X2,
    inference(superposition,[status(thm)],[d77,d3]) ).

cnf(d79,plain,
    'double$udivide'('double$udivide'(multiply(X1,X2),'double$udivide'(inverse(X0),inverse('double$udivide'(X2,X1)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d78,c2]) ).

cnf(d80,plain,
    'double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'(inverse(X2),multiply(X1,X0))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d79,d0]) ).

cnf(d81,plain,
    'double$udivide'('double$udivide'(multiply(X0,X1),'double$udivide'(inverse(X2),multiply(X0,X1))),identity) = X2,
    inference(demodulation,[status(thm)],[d80,d23]) ).

cnf(d82,plain,
    inverse('double$udivide'(multiply(X0,X1),'double$udivide'(inverse(X2),multiply(X0,X1)))) = X2,
    inference(demodulation,[status(thm)],[d81,c2]) ).

cnf(d83,plain,
    multiply('double$udivide'(inverse(X2),multiply(X0,X1)),multiply(X0,X1)) = X2,
    inference(demodulation,[status(thm)],[d82,d0]) ).

cnf(d84,plain,
    identity = 'double$udivide'(inverse(X0),multiply(identity,X0)),
    inference(superposition,[status(thm)],[d1,c3]) ).

cnf(d85,plain,
    multiply(identity,multiply(identity,X0)) = X0,
    inference(superposition,[status(thm)],[d84,d83]) ).

cnf(d86,plain,
    multiply(X0,identity) = multiply(identity,X0),
    inference(superposition,[status(thm)],[d85,d76]) ).

cnf(d87,plain,
    multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
    inference(superposition,[status(thm)],[d1,d1]) ).

cnf(d88,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X0),multiply('double$udivide'(inverse(X0),multiply('double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity))),inverse(identity)))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c2,d29]) ).

cnf(d89,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'(inverse(X2),multiply('double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d88,d23]) ).

cnf(d90,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'(inverse(X4),identity),inverse(identity))),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d89,d64]) ).

cnf(d91,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X0),multiply(inverse(inverse(X0)),inverse(identity))),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d90,c2]) ).

cnf(d92,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X0),multiply(multiply(identity,X0),inverse(identity))),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d91,d1]) ).

cnf(d93,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply(multiply(identity,X2),identity)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d92,d23]) ).

cnf(d94,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X0),multiply(identity,multiply(identity,X0))),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d93,d86]) ).

cnf(d95,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X0),X0),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d94,d85]) ).

cnf(d96,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),X2),identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d95,d23]) ).

cnf(d97,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X0),multiply(identity,'double$udivide'('double$udivide'(X0,X1),X1)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d96,d86]) ).

cnf(d98,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X0),inverse(multiply(X1,'double$udivide'(X0,X1))))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d97,d24]) ).

cnf(d99,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),inverse(multiply(X2,'double$udivide'(X1,X2))))),identity) = X0,
    inference(demodulation,[status(thm)],[d98,d23]) ).

cnf(d100,plain,
    inverse('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),inverse(multiply(X2,'double$udivide'(X1,X2)))))) = X0,
    inference(demodulation,[status(thm)],[d99,c2]) ).

cnf(d101,plain,
    multiply('double$udivide'('double$udivide'(X0,X1),inverse(multiply(X2,'double$udivide'(X1,X2)))),identity) = X0,
    inference(demodulation,[status(thm)],[d100,d0]) ).

cnf(d102,plain,
    multiply(identity,'double$udivide'('double$udivide'(X0,X1),inverse(multiply(X2,'double$udivide'(X1,X2))))) = X0,
    inference(demodulation,[status(thm)],[d101,d86]) ).

cnf(d103,plain,
    inverse(multiply(inverse(multiply(X2,'double$udivide'(X1,X2))),'double$udivide'(X0,X1))) = X0,
    inference(demodulation,[status(thm)],[d102,d24]) ).

cnf(d104,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,identity),inverse(inverse(X0))),multiply(identity,X0))),inverse(identity))),inverse(identity)))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[d84,d29]) ).

cnf(d105,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,identity),inverse(inverse(X4))),multiply(identity,X4))),inverse(identity))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d104,d23]) ).

cnf(d106,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X0),multiply('double$udivide'(inverse(X0),inverse(inverse(X4))),multiply(identity,X4))),inverse(identity))),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d105,c2]) ).

cnf(d107,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'(inverse(X4),multiply(identity,X0)),multiply(identity,X0))),inverse(identity))),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d106,d1]) ).

cnf(d108,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X0),X0),inverse(identity))),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d107,d83]) ).

cnf(d109,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),X3),identity)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d108,d23]) ).

cnf(d110,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X0),multiply(identity,'double$udivide'('double$udivide'(X0,X1),X1))),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d109,d86]) ).

cnf(d111,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X0),inverse(multiply(X1,'double$udivide'(X0,X1)))),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d110,d24]) ).

cnf(d112,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),inverse(multiply(X3,'double$udivide'(X2,X3)))),identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d111,d23]) ).

cnf(d113,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X3,X0),multiply(identity,'double$udivide'('double$udivide'(X0,X1),inverse(multiply(X2,'double$udivide'(X1,X2))))))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d112,d86]) ).

cnf(d114,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X3,X0),inverse(multiply(inverse(multiply(X2,'double$udivide'(X1,X2))),'double$udivide'(X0,X1))))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d113,d24]) ).

cnf(d115,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X3,X2),X2)),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d114,d103]) ).

cnf(d116,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),X1)),identity) = X0,
    inference(demodulation,[status(thm)],[d115,d23]) ).

cnf(d117,plain,
    inverse('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),X1))) = X0,
    inference(demodulation,[status(thm)],[d116,c2]) ).

cnf(d118,plain,
    multiply('double$udivide'('double$udivide'(X0,X1),X1),identity) = X0,
    inference(demodulation,[status(thm)],[d117,d0]) ).

cnf(d119,plain,
    multiply(identity,'double$udivide'('double$udivide'(X0,X1),X1)) = X0,
    inference(demodulation,[status(thm)],[d118,d86]) ).

cnf(d120,plain,
    inverse(multiply(X1,'double$udivide'(X0,X1))) = X0,
    inference(demodulation,[status(thm)],[d119,d24]) ).

cnf(d121,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X4,X0),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)))))),inverse(identity)) = X4,
    inference(superposition,[status(thm)],[d27,d3]) ).

cnf(d122,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X4,X0),multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)),inverse(identity)))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d121,d0]) ).

cnf(d123,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X1,X0),X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),inverse(identity)) = 'double$udivide'(X0,X1),
    inference(superposition,[status(thm)],[d77,d122]) ).

cnf(d124,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X0,X1),X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d123,d23]) ).

cnf(d125,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X3,X4),X0),X0),inverse(identity)))),inverse(identity)) = 'double$udivide'(X4,X3),
    inference(demodulation,[status(thm)],[d124,d64]) ).

cnf(d126,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X0,X1),X2),X2),identity))),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d125,d23]) ).

cnf(d127,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply(identity,'double$udivide'('double$udivide'(multiply(X0,X1),X2),X2)))),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d126,d86]) ).

cnf(d128,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,inverse(multiply(X2,'double$udivide'(multiply(X0,X1),X2))))),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d127,d24]) ).

cnf(d129,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply(X1,X2))),inverse(identity)) = 'double$udivide'(X2,X1),
    inference(demodulation,[status(thm)],[d128,d120]) ).

cnf(d130,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply(X0,X1))),identity) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d129,d23]) ).

cnf(d131,plain,
    inverse('double$udivide'(identity,'double$udivide'(identity,multiply(X0,X1)))) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d130,c2]) ).

cnf(d132,plain,
    multiply('double$udivide'(identity,multiply(X0,X1)),identity) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d131,d0]) ).

cnf(d133,plain,
    multiply(identity,'double$udivide'(identity,multiply(X0,X1))) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d132,d86]) ).

cnf(d134,plain,
    inverse(multiply(multiply(X0,X1),identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d133,d24]) ).

cnf(d135,plain,
    inverse(multiply(identity,multiply(X0,X1))) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d134,d86]) ).

cnf(d136,plain,
    multiply(identity,inverse(multiply(X0,X1))) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d135,d87]) ).

cnf(d137,plain,
    multiply(identity,multiply(X0,identity)) = X0,
    inference(superposition,[status(thm)],[d86,d85]) ).

cnf(d138,plain,
    multiply(identity,X0) = inverse(multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))))),
    inference(superposition,[status(thm)],[d27,d24]) ).

cnf(d139,plain,
    multiply(identity,X0) = inverse(multiply(identity,'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))))),
    inference(demodulation,[status(thm)],[d138,d23]) ).

cnf(d140,plain,
    multiply(identity,X0) = multiply(identity,inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))))),
    inference(demodulation,[status(thm)],[d139,d87]) ).

cnf(d141,plain,
    multiply(identity,X0) = multiply(identity,multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)),inverse(identity))),
    inference(demodulation,[status(thm)],[d140,d0]) ).

cnf(d142,plain,
    multiply(identity,X3) = multiply(identity,multiply('double$udivide'('double$udivide'(X3,X0),X0),inverse(identity))),
    inference(demodulation,[status(thm)],[d141,d64]) ).

cnf(d143,plain,
    multiply(identity,X0) = multiply(identity,multiply('double$udivide'('double$udivide'(X0,X1),X1),identity)),
    inference(demodulation,[status(thm)],[d142,d23]) ).

cnf(d144,plain,
    multiply(identity,X0) = 'double$udivide'('double$udivide'(X0,X1),X1),
    inference(demodulation,[status(thm)],[d143,d137]) ).

cnf(d145,plain,
    'double$udivide'('double$udivide'(inverse(X0),X0),identity) = identity,
    inference(demodulation,[status(thm)],[d17,d23]) ).

cnf(d146,plain,
    inverse('double$udivide'(inverse(X0),X0)) = identity,
    inference(demodulation,[status(thm)],[d145,c2]) ).

cnf(d147,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(demodulation,[status(thm)],[d146,d0]) ).

cnf(d148,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,inverse(identity))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),
    inference(superposition,[status(thm)],[d122,d4]) ).

cnf(d149,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,identity)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),
    inference(demodulation,[status(thm)],[d148,d23]) ).

cnf(d150,plain,
    'double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),
    inference(demodulation,[status(thm)],[d149,c2]) ).

cnf(d151,plain,
    'double$udivide'('double$udivide'(identity,inverse(X0)),identity) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),
    inference(demodulation,[status(thm)],[d150,d23]) ).

cnf(d152,plain,
    inverse('double$udivide'(identity,inverse(X0))) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),
    inference(demodulation,[status(thm)],[d151,c2]) ).

cnf(d153,plain,
    multiply(inverse(X0),identity) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),
    inference(demodulation,[status(thm)],[d152,d0]) ).

cnf(d154,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),
    inference(demodulation,[status(thm)],[d153,d86]) ).

cnf(d155,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),inverse(identity)))),
    inference(demodulation,[status(thm)],[d154,d23]) ).

cnf(d156,plain,
    multiply(identity,inverse(X3)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,X0),X0),inverse(identity)))),
    inference(demodulation,[status(thm)],[d155,d64]) ).

cnf(d157,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),X2),identity))),
    inference(demodulation,[status(thm)],[d156,d23]) ).

cnf(d158,plain,
    multiply(identity,inverse(X2)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X2,X0),multiply(identity,'double$udivide'('double$udivide'(X0,X1),X1)))),
    inference(demodulation,[status(thm)],[d157,d86]) ).

cnf(d159,plain,
    multiply(identity,inverse(X2)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X2,X0),inverse(multiply(X1,'double$udivide'(X0,X1))))),
    inference(demodulation,[status(thm)],[d158,d24]) ).

cnf(d160,plain,
    multiply(identity,inverse(X2)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X2,X1),X1)),
    inference(demodulation,[status(thm)],[d159,d120]) ).

cnf(d161,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(superposition,[status(thm)],[d27,d27]) ).

cnf(d162,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X5,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X6,X7)),inverse(X6)),X7))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X5,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,X1)),inverse(X0)),X1)))),
    inference(superposition,[status(thm)],[d161,d161]) ).

cnf(d163,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X6,X7)),inverse(X6)),X7)))),
    inference(demodulation,[status(thm)],[d162,d23]) ).

cnf(d164,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X2,inverse(identity))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X2,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X6,X7)),inverse(X6)),X7)))),
    inference(demodulation,[status(thm)],[d163,d64]) ).

cnf(d165,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,identity)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d164,d23]) ).

cnf(d166,plain,
    'double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d165,c2]) ).

cnf(d167,plain,
    'double$udivide'('double$udivide'(identity,inverse(X0)),identity) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d166,d23]) ).

cnf(d168,plain,
    inverse('double$udivide'(identity,inverse(X0))) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d167,c2]) ).

cnf(d169,plain,
    multiply(inverse(X0),identity) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d168,d0]) ).

cnf(d170,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d169,d86]) ).

cnf(d171,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,inverse(identity)),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d170,d23]) ).

cnf(d172,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,identity),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d171,d23]) ).

cnf(d173,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,'double$udivide'(inverse(X0),multiply('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d172,c2]) ).

cnf(d174,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,'double$udivide'(inverse(X0),multiply('double$udivide'(identity,'double$udivide'('double$udivide'(identity,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d173,d23]) ).

cnf(d175,plain,
    multiply(identity,inverse(X3)) = 'double$udivide'(identity,'double$udivide'(inverse(X3),multiply('double$udivide'(identity,'double$udivide'('double$udivide'(identity,X0),X0)),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5)))),
    inference(demodulation,[status(thm)],[d174,d64]) ).

cnf(d176,plain,
    multiply(identity,inverse(X1)) = 'double$udivide'(identity,'double$udivide'(inverse(X1),multiply(multiply(identity,inverse(identity)),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3)))),
    inference(demodulation,[status(thm)],[d175,d160]) ).

cnf(d177,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,'double$udivide'(inverse(X0),multiply(identity,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2)))),
    inference(demodulation,[status(thm)],[d176,d147]) ).

cnf(d178,plain,
    multiply(identity,inverse(X2)) = 'double$udivide'(identity,'double$udivide'(inverse(X2),multiply(identity,inverse(identity)))),
    inference(demodulation,[status(thm)],[d177,d64]) ).

cnf(d179,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,'double$udivide'(inverse(X0),identity)),
    inference(demodulation,[status(thm)],[d178,d147]) ).

cnf(d180,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,inverse(inverse(X0))),
    inference(demodulation,[status(thm)],[d179,c2]) ).

cnf(d181,plain,
    multiply(identity,inverse(X0)) = 'double$udivide'(identity,multiply(identity,X0)),
    inference(demodulation,[status(thm)],[d180,d1]) ).

cnf(d182,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5))),inverse(identity))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(superposition,[status(thm)],[d161,d4]) ).

cnf(d183,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5))),
    inference(demodulation,[status(thm)],[d182,d23]) ).

cnf(d184,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X3,X0),X0)),inverse(identity))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X3,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5))),
    inference(demodulation,[status(thm)],[d183,d64]) ).

cnf(d185,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X0)),inverse(identity))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d184,d160]) ).

cnf(d186,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X0)),identity)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d185,d23]) ).

cnf(d187,plain,
    'double$udivide'('double$udivide'(identity,inverse(multiply(identity,inverse(X0)))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d186,c2]) ).

cnf(d188,plain,
    'double$udivide'('double$udivide'(identity,multiply(identity,inverse(inverse(X0)))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d187,d87]) ).

cnf(d189,plain,
    'double$udivide'(multiply(identity,inverse(inverse(inverse(X0)))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d188,d181]) ).

cnf(d190,plain,
    'double$udivide'(multiply(identity,multiply(identity,inverse(X0))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d189,d1]) ).

cnf(d191,plain,
    'double$udivide'(inverse(X0),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d190,d85]) ).

cnf(d192,plain,
    'double$udivide'(inverse(X0),identity) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d191,d23]) ).

cnf(d193,plain,
    inverse(inverse(X0)) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d192,c2]) ).

cnf(d194,plain,
    multiply(identity,X0) = 'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d193,d1]) ).

cnf(d195,plain,
    multiply(identity,X0) = 'double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),
    inference(demodulation,[status(thm)],[d194,d23]) ).

cnf(d196,plain,
    multiply(identity,X2) = 'double$udivide'(identity,'double$udivide'(X2,inverse(identity))),
    inference(demodulation,[status(thm)],[d195,d64]) ).

cnf(d197,plain,
    multiply(identity,X0) = 'double$udivide'(identity,'double$udivide'(X0,identity)),
    inference(demodulation,[status(thm)],[d196,d23]) ).

cnf(d198,plain,
    multiply(identity,X0) = 'double$udivide'(identity,inverse(X0)),
    inference(demodulation,[status(thm)],[d197,c2]) ).

cnf(d199,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)) = 'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2))),
    inference(superposition,[status(thm)],[d3,d27]) ).

cnf(d200,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)),X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity)))),inverse(identity)) = X0,
    inference(superposition,[status(thm)],[d199,d122]) ).

cnf(d201,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3)),X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity)))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d200,d23]) ).

cnf(d202,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3)),X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity)))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d201,d23]) ).

cnf(d203,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X2,inverse(identity))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X5),multiply('double$udivide'('double$udivide'(X5,'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity)))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d202,d64]) ).

cnf(d204,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X0,identity)),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d203,d23]) ).

cnf(d205,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d204,c2]) ).

cnf(d206,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(multiply(identity,X0),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d205,d198]) ).

cnf(d207,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(multiply(identity,X0),identity),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d206,d23]) ).

cnf(d208,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(multiply(identity,X0)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d207,c2]) ).

cnf(d209,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X0)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d208,d87]) ).

cnf(d210,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X3)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X0),X0),inverse(identity)))),inverse(identity)) = X5,
    inference(demodulation,[status(thm)],[d209,d64]) ).

cnf(d211,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X0)),multiply(multiply(identity,'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1))),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d210,d144]) ).

cnf(d212,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X0)),multiply(inverse(multiply(inverse(X1),'double$udivide'(X0,'double$udivide'(X1,X2)))),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d211,d24]) ).

cnf(d213,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X0)),multiply(inverse(multiply(inverse(X1),'double$udivide'(X0,'double$udivide'(X1,X2)))),identity))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d212,d23]) ).

cnf(d214,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X1)),multiply(identity,inverse(multiply(inverse(X0),'double$udivide'(X1,'double$udivide'(X0,X2))))))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d213,d86]) ).

cnf(d215,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X1)),'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X0)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d214,d136]) ).

cnf(d216,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X0)),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)))),identity) = X2,
    inference(demodulation,[status(thm)],[d215,d23]) ).

cnf(d217,plain,
    inverse('double$udivide'(identity,'double$udivide'(multiply(identity,inverse(X0)),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1))))) = X2,
    inference(demodulation,[status(thm)],[d216,c2]) ).

cnf(d218,plain,
    multiply('double$udivide'(multiply(identity,inverse(X0)),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1))),identity) = X2,
    inference(demodulation,[status(thm)],[d217,d0]) ).

cnf(d219,plain,
    multiply(identity,'double$udivide'(multiply(identity,inverse(X0)),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)))) = X2,
    inference(demodulation,[status(thm)],[d218,d86]) ).

cnf(d220,plain,
    inverse(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),multiply(identity,inverse(X0)))) = X2,
    inference(demodulation,[status(thm)],[d219,d24]) ).

cnf(d221,plain,
    inverse(X0) = multiply(identity,inverse(X0)),
    inference(superposition,[status(thm)],[d64,d220]) ).

cnf(d222,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)),'double$udivide'('double$udivide'(X5,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity))),inverse(X0))),inverse(identity)) = X5,
    inference(superposition,[status(thm)],[d199,d3]) ).

cnf(d223,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5))),inverse(identity))),inverse(X2))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d222,d23]) ).

cnf(d224,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),'double$udivide'('double$udivide'(X5,'double$udivide'('double$udivide'(identity,'double$udivide'(X2,inverse(identity))),inverse(identity))),inverse(X4))),inverse(identity)) = X5,
    inference(demodulation,[status(thm)],[d223,d64]) ).

cnf(d225,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X0,identity)),inverse(identity))),inverse(X2))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d224,d23]) ).

cnf(d226,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity))),inverse(X2))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d225,c2]) ).

cnf(d227,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(X3,'double$udivide'(multiply(identity,X0),inverse(identity))),inverse(X2))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d226,d198]) ).

cnf(d228,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(X3,'double$udivide'(multiply(identity,X0),identity)),inverse(X2))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d227,d23]) ).

cnf(d229,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(X3,inverse(multiply(identity,X0))),inverse(X2))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d228,c2]) ).

cnf(d230,plain,
    'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(X3,inverse(multiply(identity,X0))),inverse(X2))),identity) = X3,
    inference(demodulation,[status(thm)],[d229,d23]) ).

cnf(d231,plain,
    inverse('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(X3,inverse(multiply(identity,X0))),inverse(X2)))) = X3,
    inference(demodulation,[status(thm)],[d230,c2]) ).

cnf(d232,plain,
    multiply('double$udivide'('double$udivide'(X3,inverse(multiply(identity,X0))),inverse(X2)),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1))) = X3,
    inference(demodulation,[status(thm)],[d231,d0]) ).

cnf(d233,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'(X4,X5)),inverse(X4)),X5))),
    inference(superposition,[status(thm)],[d77,d161]) ).

cnf(d234,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'(X4,X5)),inverse(X4)),X5))),
    inference(demodulation,[status(thm)],[d233,d23]) ).

cnf(d235,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X3),inverse(identity))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X3,X2),'double$udivide'(X4,X5)),inverse(X4)),X5))),
    inference(demodulation,[status(thm)],[d234,d64]) ).

cnf(d236,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),identity)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d235,d23]) ).

cnf(d237,plain,
    'double$udivide'('double$udivide'(identity,inverse('double$udivide'(X0,X1))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d236,c2]) ).

cnf(d238,plain,
    'double$udivide'(multiply(identity,'double$udivide'(X0,X1)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d237,d198]) ).

cnf(d239,plain,
    'double$udivide'(inverse(multiply(X1,X0)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d238,d24]) ).

cnf(d240,plain,
    'double$udivide'(inverse(multiply(X0,X1)),identity) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X0,X1),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d239,d23]) ).

cnf(d241,plain,
    inverse(inverse(multiply(X0,X1))) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X0,X1),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d240,c2]) ).

cnf(d242,plain,
    multiply(identity,multiply(X0,X1)) = 'double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X0,X1),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d241,d1]) ).

cnf(d243,plain,
    multiply(identity,multiply(X0,X1)) = 'double$udivide'(identity,'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X0,X1),'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d242,d23]) ).

cnf(d244,plain,
    multiply(identity,multiply(X0,X1)) = 'double$udivide'(identity,'double$udivide'(identity,multiply(X0,X1))),
    inference(demodulation,[status(thm)],[d243,d64]) ).

cnf(d245,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X0),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)) = X0,
    inference(superposition,[status(thm)],[c3,d27]) ).

cnf(d246,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X5),'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity))),inverse(X0)),'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2))))),inverse(identity)) = X5,
    inference(superposition,[status(thm)],[d199,d245]) ).

cnf(d247,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X0),'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X1,'double$udivide'(X5,X4)),inverse(X5))))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d246,d23]) ).

cnf(d248,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X0),'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X1,'double$udivide'(X5,X4)),inverse(X5)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d247,d244]) ).

cnf(d249,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X0),'double$udivide'('double$udivide'(identity,'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X1,'double$udivide'(X5,X4)),inverse(X5)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d248,d23]) ).

cnf(d250,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X2),'double$udivide'('double$udivide'(identity,'double$udivide'(X3,inverse(identity))),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X3,'double$udivide'(X5,X4)),inverse(X5)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d249,d64]) ).

cnf(d251,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X0),'double$udivide'('double$udivide'(identity,'double$udivide'(X1,identity)),inverse(identity))),inverse(X2)),'double$udivide'('double$udivide'(X1,'double$udivide'(X3,X2)),inverse(X3)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d250,d23]) ).

cnf(d252,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X1),'double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity))),inverse(X2)),'double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d251,c2]) ).

cnf(d253,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X1),'double$udivide'(multiply(identity,X0),inverse(identity))),inverse(X2)),'double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d252,d198]) ).

cnf(d254,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X0),'double$udivide'(multiply(identity,X1),identity)),inverse(X2)),'double$udivide'('double$udivide'(X1,'double$udivide'(X3,X2)),inverse(X3)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d253,d23]) ).

cnf(d255,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X1),inverse(multiply(identity,X0))),inverse(X2)),'double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d254,c2]) ).

cnf(d256,plain,
    'double$udivide'(multiply(identity,inverse(X0)),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d255,d232]) ).

cnf(d257,plain,
    'double$udivide'(inverse(X0),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d256,d221]) ).

cnf(d258,plain,
    'double$udivide'(inverse(X0),identity) = X0,
    inference(demodulation,[status(thm)],[d257,d23]) ).

cnf(d259,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[d258,c2]) ).

cnf(d260,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X3),X0),inverse('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X0),'double$udivide'(X1,X2)),inverse(X1)),X2))))),inverse(identity)))),inverse(identity)) = X3,
    inference(superposition,[status(thm)],[d245,d245]) ).

cnf(d261,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X0),X1),inverse('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X1),'double$udivide'(X2,X3)),inverse(X2)),X3))))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d260,d23]) ).

cnf(d262,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X0),X1),inverse('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X1),'double$udivide'(X2,X3)),inverse(X2)),X3))))),inverse(identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d261,d244]) ).

cnf(d263,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X3),X0),multiply('double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X0),'double$udivide'(X1,X2)),inverse(X1)),X2)),inverse(identity))),inverse(identity))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d262,d0]) ).

cnf(d264,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X3),X0),multiply('double$udivide'(identity,inverse(X0)),inverse(identity))),inverse(identity))),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d263,d64]) ).

cnf(d265,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X1),X0),multiply(multiply(identity,X0),inverse(identity))),inverse(identity))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d264,d198]) ).

cnf(d266,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X0),X1),multiply(multiply(identity,X1),identity)),inverse(identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d265,d23]) ).

cnf(d267,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X1),X0),multiply(identity,multiply(identity,X0))),inverse(identity))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d266,d86]) ).

cnf(d268,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X1),X0),X0),inverse(identity))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d267,d85]) ).

cnf(d269,plain,
    'double$udivide'(multiply(identity,multiply('double$udivide'('double$udivide'(inverse(X0),X1),X1),identity)),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d268,d23]) ).

cnf(d270,plain,
    'double$udivide'('double$udivide'('double$udivide'(inverse(X0),X1),X1),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d269,d137]) ).

cnf(d271,plain,
    'double$udivide'('double$udivide'('double$udivide'(inverse(X0),X1),X1),identity) = X0,
    inference(demodulation,[status(thm)],[d270,d23]) ).

cnf(d272,plain,
    inverse('double$udivide'('double$udivide'(inverse(X0),X1),X1)) = X0,
    inference(demodulation,[status(thm)],[d271,c2]) ).

cnf(d273,plain,
    multiply(X1,'double$udivide'(inverse(X0),X1)) = X0,
    inference(demodulation,[status(thm)],[d272,d0]) ).

cnf(d274,plain,
    identity = 'double$udivide'(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
    inference(superposition,[status(thm)],[d87,d84]) ).

cnf(d275,plain,
    identity = 'double$udivide'(multiply(identity,inverse(X0)),X0),
    inference(demodulation,[status(thm)],[d274,d85]) ).

cnf(d276,plain,
    identity = 'double$udivide'(inverse(X0),X0),
    inference(demodulation,[status(thm)],[d275,d221]) ).

cnf(d277,plain,
    multiply(X0,identity) = X0,
    inference(superposition,[status(thm)],[d276,d273]) ).

cnf(d278,plain,
    multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)),X0) = inverse('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity))),
    inference(superposition,[status(thm)],[d199,d0]) ).

cnf(d279,plain,
    X0 = inverse('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity))),
    inference(demodulation,[status(thm)],[d278,d64]) ).

cnf(d280,plain,
    X0 = multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2)))),
    inference(demodulation,[status(thm)],[d279,d0]) ).

cnf(d281,plain,
    X0 = multiply(identity,'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2)))),
    inference(demodulation,[status(thm)],[d280,d23]) ).

cnf(d282,plain,
    X0 = inverse(multiply('double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2)),inverse(identity))),
    inference(demodulation,[status(thm)],[d281,d24]) ).

cnf(d283,plain,
    X2 = inverse(multiply('double$udivide'(X2,inverse(identity)),inverse(identity))),
    inference(demodulation,[status(thm)],[d282,d64]) ).

cnf(d284,plain,
    X0 = inverse(multiply('double$udivide'(X0,identity),inverse(identity))),
    inference(demodulation,[status(thm)],[d283,d23]) ).

cnf(d285,plain,
    X0 = inverse(multiply(inverse(X0),inverse(identity))),
    inference(demodulation,[status(thm)],[d284,c2]) ).

cnf(d286,plain,
    X0 = inverse(multiply(inverse(X0),identity)),
    inference(demodulation,[status(thm)],[d285,d23]) ).

cnf(d287,plain,
    X0 = inverse(multiply(identity,inverse(X0))),
    inference(demodulation,[status(thm)],[d286,d86]) ).

cnf(d288,plain,
    X0 = inverse(inverse(X0)),
    inference(demodulation,[status(thm)],[d287,d221]) ).

cnf(d289,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X5,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity))),inverse(X0)),'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X5,X6),multiply('double$udivide'('double$udivide'(X6,'double$udivide'(X7,X8)),inverse(X7)),X8))),
    inference(superposition,[status(thm)],[d199,d161]) ).

cnf(d290,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X1,'double$udivide'(X5,X4)),inverse(X5))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X6),multiply('double$udivide'('double$udivide'(X6,'double$udivide'(X7,X8)),inverse(X7)),X8))),
    inference(demodulation,[status(thm)],[d289,d23]) ).

cnf(d291,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X1,'double$udivide'(X5,X4)),inverse(X5))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X6),multiply('double$udivide'('double$udivide'(X6,'double$udivide'(X7,X8)),inverse(X7)),X8))),
    inference(demodulation,[status(thm)],[d290,d23]) ).

cnf(d292,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(identity,'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X1,'double$udivide'(X5,X4)),inverse(X5))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X6),multiply('double$udivide'('double$udivide'(X6,'double$udivide'(X7,X8)),inverse(X7)),X8))),
    inference(demodulation,[status(thm)],[d291,d23]) ).

cnf(d293,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X2,multiply('double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,inverse(identity))),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X3,'double$udivide'(X5,X4)),inverse(X5))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X2,X6),multiply('double$udivide'('double$udivide'(X6,'double$udivide'(X7,X8)),inverse(X7)),X8))),
    inference(demodulation,[status(thm)],[d292,d64]) ).

cnf(d294,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(identity,'double$udivide'(X1,identity)),inverse(identity))),inverse(X2)),'double$udivide'('double$udivide'(X1,'double$udivide'(X3,X2)),inverse(X3))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6))),
    inference(demodulation,[status(thm)],[d293,d23]) ).

cnf(d295,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X1,multiply('double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity))),inverse(X2)),'double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6))),
    inference(demodulation,[status(thm)],[d294,c2]) ).

cnf(d296,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X1,multiply('double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,X0),inverse(identity))),inverse(X2)),'double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6))),
    inference(demodulation,[status(thm)],[d295,d198]) ).

cnf(d297,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(identity,'double$udivide'(multiply(identity,X1),identity)),inverse(X2)),'double$udivide'('double$udivide'(X1,'double$udivide'(X3,X2)),inverse(X3))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6))),
    inference(demodulation,[status(thm)],[d296,d23]) ).

cnf(d298,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X1,multiply('double$udivide'('double$udivide'(identity,inverse(multiply(identity,X0))),inverse(X2)),'double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3))))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6))),
    inference(demodulation,[status(thm)],[d297,c2]) ).

cnf(d299,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X3,identity)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X6)),inverse(X5)),X6))),
    inference(demodulation,[status(thm)],[d298,d232]) ).

cnf(d300,plain,
    'double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d299,c2]) ).

cnf(d301,plain,
    'double$udivide'(multiply(identity,X0),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d300,d198]) ).

cnf(d302,plain,
    'double$udivide'(multiply(identity,X0),identity) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d301,d23]) ).

cnf(d303,plain,
    inverse(multiply(identity,X0)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d302,c2]) ).

cnf(d304,plain,
    inverse(multiply(identity,X0)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))),
    inference(demodulation,[status(thm)],[d303,d23]) ).

cnf(d305,plain,
    inverse(multiply(identity,X3)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X3,X0),X0)),
    inference(demodulation,[status(thm)],[d304,d64]) ).

cnf(d306,plain,
    inverse(multiply(identity,X0)) = 'double$udivide'(identity,multiply(identity,X0)),
    inference(demodulation,[status(thm)],[d305,d144]) ).

cnf(d307,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X5,X6),multiply('double$udivide'('double$udivide'(X6,X7),multiply('double$udivide'('double$udivide'(X7,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity))),inverse(X0)),'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)))),inverse(identity)))),inverse(identity)) = X5,
    inference(superposition,[status(thm)],[d199,d122]) ).

cnf(d308,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5))),inverse(identity))),inverse(X6)),'double$udivide'('double$udivide'(X3,'double$udivide'(X7,X6)),inverse(X7)))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d307,d23]) ).

cnf(d309,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5))),inverse(identity))),inverse(X6)),'double$udivide'('double$udivide'(X3,'double$udivide'(X7,X6)),inverse(X7)))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d308,d23]) ).

cnf(d310,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,'double$udivide'('double$udivide'(identity,'double$udivide'(X5,inverse(identity))),inverse(identity))),inverse(X6)),'double$udivide'('double$udivide'(X5,'double$udivide'(X7,X6)),inverse(X7)))),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d309,d64]) ).

cnf(d311,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,identity)),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X3,'double$udivide'(X5,X4)),inverse(X5)))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d310,d23]) ).

cnf(d312,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X0,'double$udivide'(X5,X4)),inverse(X5)))),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d311,c2]) ).

cnf(d313,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(multiply(identity,X0),inverse(identity))),inverse(X4)),'double$udivide'('double$udivide'(X0,'double$udivide'(X5,X4)),inverse(X5)))),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d312,d198]) ).

cnf(d314,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(multiply(identity,X3),identity)),inverse(X4)),'double$udivide'('double$udivide'(X3,'double$udivide'(X5,X4)),inverse(X5)))),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d313,d23]) ).

cnf(d315,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,inverse(multiply(identity,X0))),inverse(X4)),'double$udivide'('double$udivide'(X0,'double$udivide'(X5,X4)),inverse(X5)))),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d314,c2]) ).

cnf(d316,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,X0),X0),inverse(identity)))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d315,d232]) ).

cnf(d317,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X0),multiply(multiply(identity,X0),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d316,d144]) ).

cnf(d318,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply(multiply(identity,X1),identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d317,d23]) ).

cnf(d319,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X0),multiply(identity,multiply(identity,X0)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d318,d86]) ).

cnf(d320,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X0),X0)),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d319,d85]) ).

cnf(d321,plain,
    'double$udivide'('double$udivide'(identity,multiply(identity,X0)),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d320,d144]) ).

cnf(d322,plain,
    'double$udivide'(inverse(multiply(identity,X0)),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d321,d306]) ).

cnf(d323,plain,
    'double$udivide'(inverse(multiply(identity,X0)),identity) = X0,
    inference(demodulation,[status(thm)],[d322,d23]) ).

cnf(d324,plain,
    inverse(inverse(multiply(identity,X0))) = X0,
    inference(demodulation,[status(thm)],[d323,c2]) ).

cnf(d325,plain,
    multiply(identity,X0) = X0,
    inference(demodulation,[status(thm)],[d324,d288]) ).

cnf(d326,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X0)),inverse(X0)),identity))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c2,d27]) ).

cnf(d327,plain,
    multiply(identity,X0) = inverse(multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity))))),
    inference(superposition,[status(thm)],[d326,d24]) ).

cnf(d328,plain,
    X0 = inverse(multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity))))),
    inference(demodulation,[status(thm)],[d327,d325]) ).

cnf(d329,plain,
    X0 = inverse(multiply(identity,'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity))))),
    inference(demodulation,[status(thm)],[d328,d23]) ).

cnf(d330,plain,
    X0 = inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity)))),
    inference(demodulation,[status(thm)],[d329,d325]) ).

cnf(d331,plain,
    X0 = multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity)),inverse(identity)),
    inference(demodulation,[status(thm)],[d330,d0]) ).

cnf(d332,plain,
    X2 = multiply('double$udivide'('double$udivide'(X2,X0),'double$udivide'('double$udivide'(X0,inverse(X1)),inverse(X1))),inverse(identity)),
    inference(demodulation,[status(thm)],[d331,d277]) ).

cnf(d333,plain,
    X0 = multiply('double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2))),identity),
    inference(demodulation,[status(thm)],[d332,d23]) ).

cnf(d334,plain,
    X0 = 'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2))),
    inference(demodulation,[status(thm)],[d333,d277]) ).

cnf(d335,plain,
    inverse(X0) = 'double$udivide'(identity,multiply(identity,X0)),
    inference(demodulation,[status(thm)],[d306,d325]) ).

cnf(d336,plain,
    inverse(X0) = 'double$udivide'(identity,X0),
    inference(demodulation,[status(thm)],[d335,d325]) ).

cnf(d337,plain,
    multiply(inverse(identity),'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)))) = inverse(X1),
    inference(superposition,[status(thm)],[d3,d0]) ).

cnf(d338,plain,
    multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X0),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity))))))) = inverse(X3),
    inference(superposition,[status(thm)],[d326,d337]) ).

cnf(d339,plain,
    multiply(identity,'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity))))))) = inverse(X0),
    inference(demodulation,[status(thm)],[d338,d23]) ).

cnf(d340,plain,
    'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))) = inverse(X0),
    inference(demodulation,[status(thm)],[d339,d325]) ).

cnf(d341,plain,
    'double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))) = inverse(X0),
    inference(demodulation,[status(thm)],[d340,d23]) ).

cnf(d342,plain,
    inverse('double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))) = inverse(X0),
    inference(demodulation,[status(thm)],[d341,d336]) ).

cnf(d343,plain,
    multiply(inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))),'double$udivide'(X0,X1)) = inverse(X0),
    inference(demodulation,[status(thm)],[d342,d0]) ).

cnf(d344,plain,
    multiply(multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity)),inverse(identity)),'double$udivide'(X3,X0)) = inverse(X3),
    inference(demodulation,[status(thm)],[d343,d0]) ).

cnf(d345,plain,
    multiply(multiply('double$udivide'('double$udivide'(X2,X0),'double$udivide'('double$udivide'(X0,inverse(X1)),inverse(X1))),inverse(identity)),'double$udivide'(X3,X2)) = inverse(X3),
    inference(demodulation,[status(thm)],[d344,d277]) ).

cnf(d346,plain,
    multiply(multiply(X0,inverse(identity)),'double$udivide'(X3,X0)) = inverse(X3),
    inference(demodulation,[status(thm)],[d345,d334]) ).

cnf(d347,plain,
    multiply(multiply(X0,identity),'double$udivide'(X1,X0)) = inverse(X1),
    inference(demodulation,[status(thm)],[d346,d23]) ).

cnf(d348,plain,
    multiply(X0,'double$udivide'(X1,X0)) = inverse(X1),
    inference(demodulation,[status(thm)],[d347,d277]) ).

cnf(d349,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X1,X0),inverse(X2)),inverse(X2)),identity))),inverse(identity)) = 'double$udivide'(X0,X1),
    inference(superposition,[status(thm)],[d77,d326]) ).

cnf(d350,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X0,X1),inverse(X2)),inverse(X2)),identity))),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d349,d23]) ).

cnf(d351,plain,
    'double$udivide'(inverse('double$udivide'(identity,multiply('double$udivide'('double$udivide'(multiply(X0,X1),inverse(X2)),inverse(X2)),identity))),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d350,d336]) ).

cnf(d352,plain,
    'double$udivide'(multiply(multiply('double$udivide'('double$udivide'(multiply(X0,X1),inverse(X2)),inverse(X2)),identity),identity),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d351,d0]) ).

cnf(d353,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(multiply(X0,X1),inverse(X2)),inverse(X2)),identity),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d352,d277]) ).

cnf(d354,plain,
    'double$udivide'('double$udivide'('double$udivide'(multiply(X0,X1),inverse(X2)),inverse(X2)),inverse(identity)) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d353,d277]) ).

cnf(d355,plain,
    'double$udivide'('double$udivide'('double$udivide'(multiply(X0,X1),inverse(X2)),inverse(X2)),identity) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d354,d23]) ).

cnf(d356,plain,
    inverse('double$udivide'('double$udivide'(multiply(X0,X1),inverse(X2)),inverse(X2))) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d355,c2]) ).

cnf(d357,plain,
    multiply(inverse(X2),'double$udivide'(multiply(X0,X1),inverse(X2))) = 'double$udivide'(X1,X0),
    inference(demodulation,[status(thm)],[d356,d0]) ).

cnf(d358,plain,
    inverse(multiply(X1,X2)) = 'double$udivide'(X2,X1),
    inference(demodulation,[status(thm)],[d357,d348]) ).

cnf(d359,plain,
    inverse('double$udivide'(X1,X0)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[d358,d259]) ).

cnf(d360,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X0),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity)))))),
    inference(superposition,[status(thm)],[d326,d199]) ).

cnf(d361,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X3),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,inverse(X5)),inverse(X5)),identity)))))),
    inference(demodulation,[status(thm)],[d360,d23]) ).

cnf(d362,plain,
    'double$udivide'(inverse('double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X3),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,inverse(X5)),inverse(X5)),identity)))))),
    inference(demodulation,[status(thm)],[d361,d336]) ).

cnf(d363,plain,
    'double$udivide'(multiply(multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2),X0),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X3),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,inverse(X5)),inverse(X5)),identity)))))),
    inference(demodulation,[status(thm)],[d362,d0]) ).

cnf(d364,plain,
    'double$udivide'(multiply(inverse(identity),X2),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X2,X3),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X4),multiply('double$udivide'('double$udivide'(X4,inverse(X5)),inverse(X5)),identity)))))),
    inference(demodulation,[status(thm)],[d363,d64]) ).

cnf(d365,plain,
    'double$udivide'(multiply(identity,X0),inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))),
    inference(demodulation,[status(thm)],[d364,d23]) ).

cnf(d366,plain,
    'double$udivide'(X0,inverse(identity)) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))),
    inference(demodulation,[status(thm)],[d365,d325]) ).

cnf(d367,plain,
    'double$udivide'(X0,identity) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))),
    inference(demodulation,[status(thm)],[d366,d23]) ).

cnf(d368,plain,
    inverse(X0) = 'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))),
    inference(demodulation,[status(thm)],[d367,c2]) ).

cnf(d369,plain,
    inverse(X0) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))),
    inference(demodulation,[status(thm)],[d368,d23]) ).

cnf(d370,plain,
    inverse(X0) = inverse('double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))))),
    inference(demodulation,[status(thm)],[d369,d336]) ).

cnf(d371,plain,
    inverse(X0) = multiply(inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3)),identity)))),'double$udivide'(X0,X1)),
    inference(demodulation,[status(thm)],[d370,d0]) ).

cnf(d372,plain,
    inverse(X3) = multiply(multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,inverse(X2)),inverse(X2)),identity)),inverse(identity)),'double$udivide'(X3,X0)),
    inference(demodulation,[status(thm)],[d371,d0]) ).

cnf(d373,plain,
    inverse(X2) = multiply(multiply('double$udivide'('double$udivide'(X3,X0),'double$udivide'('double$udivide'(X0,inverse(X1)),inverse(X1))),inverse(identity)),'double$udivide'(X2,X3)),
    inference(demodulation,[status(thm)],[d372,d277]) ).

cnf(d374,plain,
    inverse(X3) = multiply(multiply(X0,inverse(identity)),'double$udivide'(X3,X0)),
    inference(demodulation,[status(thm)],[d373,d334]) ).

cnf(d375,plain,
    inverse(X0) = multiply(multiply(X1,identity),'double$udivide'(X0,X1)),
    inference(demodulation,[status(thm)],[d374,d23]) ).

cnf(d376,plain,
    inverse(X1) = multiply(X0,'double$udivide'(X1,X0)),
    inference(demodulation,[status(thm)],[d375,d277]) ).

cnf(d377,plain,
    multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)))) = inverse(X0),
    inference(superposition,[status(thm)],[d27,d0]) ).

cnf(d378,plain,
    multiply(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3)))) = inverse('double$udivide'(inverse(X0),'double$udivide'(inverse(X1),inverse(X0)))),
    inference(superposition,[status(thm)],[d7,d377]) ).

cnf(d379,plain,
    multiply(identity,'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2)))) = inverse('double$udivide'(inverse(X3),'double$udivide'(inverse(X0),inverse(X3)))),
    inference(demodulation,[status(thm)],[d378,d23]) ).

cnf(d380,plain,
    inverse(multiply('double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2)),inverse(identity))) = inverse('double$udivide'(inverse(X3),'double$udivide'(inverse(X0),inverse(X3)))),
    inference(demodulation,[status(thm)],[d379,d24]) ).

cnf(d381,plain,
    inverse(multiply('double$udivide'(X2,inverse(identity)),inverse(identity))) = inverse('double$udivide'(inverse(X3),'double$udivide'(inverse(X2),inverse(X3)))),
    inference(demodulation,[status(thm)],[d380,d64]) ).

cnf(d382,plain,
    inverse(multiply('double$udivide'(X0,identity),inverse(identity))) = inverse('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1)))),
    inference(demodulation,[status(thm)],[d381,d23]) ).

cnf(d383,plain,
    inverse(multiply(inverse(X0),inverse(identity))) = inverse('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1)))),
    inference(demodulation,[status(thm)],[d382,c2]) ).

cnf(d384,plain,
    inverse(multiply(inverse(X0),identity)) = inverse('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1)))),
    inference(demodulation,[status(thm)],[d383,d23]) ).

cnf(d385,plain,
    inverse(multiply(identity,inverse(X0))) = inverse('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1)))),
    inference(demodulation,[status(thm)],[d384,d86]) ).

cnf(d386,plain,
    multiply(identity,inverse(inverse(X0))) = inverse('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1)))),
    inference(demodulation,[status(thm)],[d385,d87]) ).

cnf(d387,plain,
    multiply(identity,multiply(identity,X0)) = inverse('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1)))),
    inference(demodulation,[status(thm)],[d386,d1]) ).

cnf(d388,plain,
    X0 = inverse('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1)))),
    inference(demodulation,[status(thm)],[d387,d85]) ).

cnf(d389,plain,
    X1 = multiply('double$udivide'(inverse(X1),inverse(X0)),inverse(X0)),
    inference(demodulation,[status(thm)],[d388,d0]) ).

cnf(d390,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,identity),inverse(X0)),inverse(X0)))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c3,d27]) ).

cnf(d391,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X0),multiply('double$udivide'(inverse(X0),inverse(X2)),inverse(X2)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d390,c2]) ).

cnf(d392,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)),multiply('double$udivide'(inverse('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2))),inverse(X5)),inverse(X5)))),inverse(identity)) = X0,
    inference(superposition,[status(thm)],[d199,d391]) ).

cnf(d393,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)),multiply('double$udivide'(inverse('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3))),inverse(X5)),inverse(X5)))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d392,d23]) ).

cnf(d394,plain,
    'double$udivide'(inverse('double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)),multiply('double$udivide'(inverse('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3))),inverse(X5)),inverse(X5)))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d393,d336]) ).

cnf(d395,plain,
    'double$udivide'(multiply(multiply('double$udivide'(inverse('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3))),inverse(X5)),inverse(X5)),'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d394,d0]) ).

cnf(d396,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X4)),X5))),inverse(identity))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d395,d389]) ).

cnf(d397,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d396,d23]) ).

cnf(d398,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3)),'double$udivide'(inverse('double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d397,d336]) ).

cnf(d399,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3)),'double$udivide'(multiply(multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2),X0),inverse(identity))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d398,d0]) ).

cnf(d400,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),'double$udivide'(multiply(inverse(identity),X2),inverse(identity))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d399,d64]) ).

cnf(d401,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'(multiply(identity,X0),inverse(identity))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d400,d23]) ).

cnf(d402,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'(X0,inverse(identity))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d401,d325]) ).

cnf(d403,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'(X0,identity)),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d402,d23]) ).

cnf(d404,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),inverse(X0)),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d403,c2]) ).

cnf(d405,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),inverse(X0)),identity) = X2,
    inference(demodulation,[status(thm)],[d404,d23]) ).

cnf(d406,plain,
    inverse(multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),inverse(X0))) = X2,
    inference(demodulation,[status(thm)],[d405,c2]) ).

cnf(d407,plain,
    'double$udivide'(inverse(X0),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1))) = X2,
    inference(demodulation,[status(thm)],[d406,d358]) ).

cnf(d408,plain,
    identity = 'double$udivide'(multiply(identity,X0),multiply(identity,inverse(X0))),
    inference(superposition,[status(thm)],[d1,d84]) ).

cnf(d409,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X1),identity),inverse(multiply(identity,X0))),multiply(identity,inverse(X0))))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[d408,d245]) ).

cnf(d410,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X0),identity),inverse(multiply(identity,X1))),multiply(identity,inverse(X1))))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d409,d23]) ).

cnf(d411,plain,
    'double$udivide'(inverse('double$udivide'(identity,multiply('double$udivide'('double$udivide'(inverse(X0),identity),inverse(multiply(identity,X1))),multiply(identity,inverse(X1))))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d410,d336]) ).

cnf(d412,plain,
    'double$udivide'(multiply(multiply('double$udivide'('double$udivide'(inverse(X0),identity),inverse(multiply(identity,X1))),multiply(identity,inverse(X1))),identity),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d411,d0]) ).

cnf(d413,plain,
    'double$udivide'(multiply('double$udivide'('double$udivide'(inverse(X0),identity),inverse(multiply(identity,X1))),multiply(identity,inverse(X1))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d412,d277]) ).

cnf(d414,plain,
    'double$udivide'(multiply('double$udivide'(inverse(inverse(X0)),inverse(multiply(identity,X1))),multiply(identity,inverse(X1))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d413,c2]) ).

cnf(d415,plain,
    'double$udivide'(multiply('double$udivide'(X0,inverse(multiply(identity,X1))),multiply(identity,inverse(X1))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d414,d288]) ).

cnf(d416,plain,
    'double$udivide'(multiply('double$udivide'(X1,'double$udivide'(X0,identity)),multiply(identity,inverse(X0))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d415,d358]) ).

cnf(d417,plain,
    'double$udivide'(multiply('double$udivide'(X1,inverse(X0)),multiply(identity,inverse(X0))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d416,c2]) ).

cnf(d418,plain,
    'double$udivide'(multiply('double$udivide'(X1,inverse(X0)),inverse(X0)),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d417,d325]) ).

cnf(d419,plain,
    'double$udivide'(multiply('double$udivide'(X0,inverse(X1)),inverse(X1)),identity) = X0,
    inference(demodulation,[status(thm)],[d418,d23]) ).

cnf(d420,plain,
    inverse(multiply('double$udivide'(X0,inverse(X1)),inverse(X1))) = X0,
    inference(demodulation,[status(thm)],[d419,c2]) ).

cnf(d421,plain,
    'double$udivide'(inverse(X1),'double$udivide'(X0,inverse(X1))) = X0,
    inference(demodulation,[status(thm)],[d420,d358]) ).

cnf(d422,plain,
    'double$udivide'(X0,'double$udivide'(X0,X1)) = X1,
    inference(superposition,[status(thm)],[d421,d407]) ).

cnf(d423,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)),'double$udivide'(X5,X6)),inverse(X5)),X6))),inverse(identity)) = X0,
    inference(superposition,[status(thm)],[d199,d27]) ).

cnf(d424,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3)),'double$udivide'(X5,X6)),inverse(X5)),X6))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d423,d23]) ).

cnf(d425,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X4)),inverse(X3)),'double$udivide'(X5,X6)),inverse(X5)),X6))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d424,d23]) ).

cnf(d426,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X2,inverse(identity))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),'double$udivide'(X5,X6)),inverse(X5)),X6))),inverse(identity)) = X4,
    inference(demodulation,[status(thm)],[d425,d64]) ).

cnf(d427,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X0,identity)),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d426,d23]) ).

cnf(d428,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d427,c2]) ).

cnf(d429,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(identity,inverse(X0)),identity),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d428,d23]) ).

cnf(d430,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(inverse('double$udivide'(identity,inverse(X0))),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d429,c2]) ).

cnf(d431,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(inverse(X0),identity),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d430,d0]) ).

cnf(d432,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(inverse(X0),identity),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d431,d64]) ).

cnf(d433,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'(multiply(inverse(X0),identity),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1)))),identity) = X2,
    inference(demodulation,[status(thm)],[d432,d23]) ).

cnf(d434,plain,
    inverse('double$udivide'(identity,'double$udivide'(multiply(inverse(X0),identity),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1))))) = X2,
    inference(demodulation,[status(thm)],[d433,c2]) ).

cnf(d435,plain,
    multiply('double$udivide'(multiply(inverse(X0),identity),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1))),identity) = X2,
    inference(demodulation,[status(thm)],[d434,d0]) ).

cnf(d436,plain,
    'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X5,X0),multiply('double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)),'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity)))),inverse(identity)) = X5,
    inference(superposition,[status(thm)],[d199,d122]) ).

cnf(d437,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'(X5,X1)),inverse(X5)),'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d436,d23]) ).

cnf(d438,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X2,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X3,X4)),inverse(X3)),X4))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'(X5,X1)),inverse(X5)),'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d437,d23]) ).

cnf(d439,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X4,inverse(identity))),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X4,'double$udivide'(X5,X3)),inverse(X5)),'double$udivide'(X6,X7)),inverse(X6)),X7)),inverse(identity)))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[d438,d64]) ).

cnf(d440,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'('double$udivide'(identity,'double$udivide'(X2,identity)),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X1)),inverse(X3)),'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d439,d23]) ).

cnf(d441,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'('double$udivide'(identity,inverse(X0)),inverse(identity)),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3)),'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d440,c2]) ).

cnf(d442,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'('double$udivide'(identity,inverse(X2)),identity),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X1)),inverse(X3)),'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d441,d23]) ).

cnf(d443,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'(inverse('double$udivide'(identity,inverse(X0))),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3)),'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d442,c2]) ).

cnf(d444,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'(multiply(inverse(X0),identity),multiply('double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(X3,X2)),inverse(X3)),'double$udivide'(X4,X5)),inverse(X4)),X5)),inverse(identity)))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[d443,d0]) ).

cnf(d445,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X5,X2),multiply('double$udivide'(multiply(inverse(X0),identity),'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X1))),inverse(identity)))),inverse(identity)) = X5,
    inference(demodulation,[status(thm)],[d444,d64]) ).

cnf(d446,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'(multiply(inverse(X2),identity),'double$udivide'('double$udivide'(X2,'double$udivide'(X3,X1)),inverse(X3))),identity))),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[d445,d23]) ).

cnf(d447,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X3,X2),X2)),inverse(identity)) = X3,
    inference(demodulation,[status(thm)],[d446,d435]) ).

cnf(d448,plain,
    'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),X1)),identity) = X0,
    inference(demodulation,[status(thm)],[d447,d23]) ).

cnf(d449,plain,
    inverse('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),X1))) = X0,
    inference(demodulation,[status(thm)],[d448,c2]) ).

cnf(d450,plain,
    multiply('double$udivide'('double$udivide'(X0,X1),X1),identity) = X0,
    inference(demodulation,[status(thm)],[d449,d0]) ).

cnf(d451,plain,
    'double$udivide'('double$udivide'(X0,X1),X1) = X0,
    inference(demodulation,[status(thm)],[d450,d277]) ).

cnf(d452,plain,
    'double$udivide'('double$udivide'(X0,X1),X0) = X1,
    inference(superposition,[status(thm)],[d451,d422]) ).

cnf(d453,plain,
    inverse('double$udivide'(X0,X1)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[d452,d376]) ).

cnf(d454,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[status(thm)],[d453,d359]) ).

cnf(d455,plain,
    $false,
    inference(resolution,[status(thm)],[d454,c4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRP576-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42  % Computer : n005.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.42  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Fri Sep 25 15:00:46 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.43  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.15/7.01  % SZS status Unsatisfiable for theBenchmark.p
% 43.15/7.01  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------