Metis---2.4.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP099-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:34:44 EDT 2022

% Result   : Unsatisfiable 1.00s 1.18s
% Output   : CNFRefutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  108
%            Number of leaves      :  217
% Syntax   : Number of clauses     :  845 ( 419 unt;   0 nHn; 426 RR)
%            Number of literals    : 1472 (1471 equ; 636 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   : 1597 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) = Y ).

cnf(multiply,axiom,
    multiply(X,Y) = double_divide(double_divide(Y,X),identity) ).

cnf(inverse,axiom,
    inverse(X) = double_divide(X,identity) ).

cnf(identity,axiom,
    identity = double_divide(X,inverse(X)) ).

cnf(prove_these_axioms,negated_conjecture,
    ( multiply(inverse(a1),a1) != identity
    | multiply(identity,a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4) ) ).

cnf(refute_0_0,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_1,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_2,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( inverse(X) != double_divide(X,identity)
    | double_divide(X,identity) = inverse(X) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(double_divide(X,identity)))]]) ).

cnf(refute_0_4,plain,
    double_divide(X,identity) = inverse(X),
    inference(resolve,[$cnf( $equal(inverse(X),double_divide(X,identity)) )],[inverse,refute_0_3]) ).

cnf(refute_0_5,plain,
    double_divide(double_divide(Y,X),identity) = inverse(double_divide(Y,X)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_6,plain,
    ( multiply(X,Y) != double_divide(double_divide(Y,X),identity)
    | double_divide(double_divide(Y,X),identity) != inverse(double_divide(Y,X))
    | multiply(X,Y) = inverse(double_divide(Y,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),inverse(double_divide(Y,X))) ),[0],$fot(double_divide(double_divide(Y,X),identity))]]) ).

cnf(refute_0_7,plain,
    ( multiply(X,Y) != double_divide(double_divide(Y,X),identity)
    | multiply(X,Y) = inverse(double_divide(Y,X)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),identity),inverse(double_divide(Y,X))) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    multiply(X,Y) = inverse(double_divide(Y,X)),
    inference(resolve,[$cnf( $equal(multiply(X,Y),double_divide(double_divide(Y,X),identity)) )],[multiply,refute_0_7]) ).

cnf(refute_0_9,plain,
    multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(X_3))]]) ).

cnf(refute_0_10,plain,
    identity = double_divide(X_3,inverse(X_3)),
    inference(subst,[],[identity:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_11,plain,
    ( identity != double_divide(X_3,inverse(X_3))
    | double_divide(X_3,inverse(X_3)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_3,inverse(X_3))))]]) ).

cnf(refute_0_12,plain,
    double_divide(X_3,inverse(X_3)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
    | double_divide(X_3,inverse(X_3)) != identity
    | multiply(inverse(X_3),X_3) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_14,plain,
    ( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
    | multiply(inverse(X_3),X_3) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    multiply(inverse(X_3),X_3) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_9,refute_0_14]) ).

cnf(refute_0_16,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(subst,[],[refute_0_4:[bind(X,$fot(identity))]]) ).

cnf(refute_0_17,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)))]]) ).

cnf(refute_0_18,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_19,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity))) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) != Y
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity))
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)),Y) ),[0],$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)))]]) ).

cnf(refute_0_22,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) != Y
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)) = Y ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity))) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)) = Y,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)),Y) )],[single_axiom,refute_0_22]) ).

cnf(refute_0_24,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_23:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(identity))]]) ).

cnf(refute_0_25,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) != X_11
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)),X_11) ),[0,0,1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_26,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_25]) ).

cnf(refute_0_27,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)),X_11) )],[refute_0_24,refute_0_26]) ).

cnf(refute_0_28,plain,
    double_divide(X_10,identity) = inverse(X_10),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_29,plain,
    double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,double_divide(X_10,identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_11,double_divide(X_10,identity)))]]) ).

cnf(refute_0_30,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,double_divide(X_10,identity))
    | double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,double_divide(X_10,identity))) ),[1,1],$fot(inverse(X_10))]]) ).

cnf(refute_0_31,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,double_divide(X_10,identity))) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_28,refute_0_31]) ).

cnf(refute_0_33,plain,
    double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))]]) ).

cnf(refute_0_34,plain,
    ( double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,inverse(X_10))
    | double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))
    | double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) ),[1,0],$fot(double_divide(X_11,inverse(X_10)))]]) ).

cnf(refute_0_35,plain,
    ( double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,inverse(X_10))
    | double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,inverse(X_10))) )],[refute_0_32,refute_0_35]) ).

cnf(refute_0_37,plain,
    double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))))]]) ).

cnf(refute_0_38,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))
    | double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))
    | double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))) ),[1,1],$fot(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))]]) ).

cnf(refute_0_39,plain,
    ( double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))
    | double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))) )],[refute_0_37,refute_0_38]) ).

cnf(refute_0_40,plain,
    double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) )],[refute_0_36,refute_0_39]) ).

cnf(refute_0_41,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)))]]) ).

cnf(refute_0_42,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))))]]) ).

cnf(refute_0_43,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))) )],[refute_0_40,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)))]]) ).

cnf(refute_0_46,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity))) )],[refute_0_44,refute_0_45]) ).

cnf(refute_0_47,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) )],[refute_0_27,refute_0_46]) ).

cnf(refute_0_48,plain,
    double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_47:[bind(X_10,$fot(inverse(X_14))),bind(X_11,$fot(identity))]]) ).

cnf(refute_0_49,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_23:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(identity)))]]) ).

cnf(refute_0_50,plain,
    identity = double_divide(identity,inverse(identity)),
    inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).

cnf(refute_0_51,plain,
    ( identity != double_divide(identity,inverse(identity))
    | double_divide(identity,inverse(identity)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(identity,inverse(identity))))]]) ).

cnf(refute_0_52,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != X_11
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(identity)]]) ).

cnf(refute_0_54,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),X_11) )],[refute_0_49,refute_0_54]) ).

cnf(refute_0_56,plain,
    ( multiply(X,Y) != inverse(double_divide(Y,X))
    | inverse(double_divide(Y,X)) = multiply(X,Y) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(double_divide(Y,X))))]]) ).

cnf(refute_0_57,plain,
    inverse(double_divide(Y,X)) = multiply(X,Y),
    inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_56]) ).

cnf(refute_0_58,plain,
    inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) = multiply(double_divide(X_10,inverse(identity)),X_11),
    inference(subst,[],[refute_0_57:[bind(X,$fot(double_divide(X_10,inverse(identity)))),bind(Y,$fot(X_11))]]) ).

cnf(refute_0_59,plain,
    double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_11,double_divide(X_10,inverse(identity)))))]]) ).

cnf(refute_0_60,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_61,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_60]) ).

cnf(refute_0_62,plain,
    ( double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) != inverse(double_divide(X_11,double_divide(X_10,inverse(identity))))
    | inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) != multiply(double_divide(X_10,inverse(identity)),X_11)
    | double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))),bind(Y0,$fot(inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))))),bind(Z0,$fot(multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).

cnf(refute_0_63,plain,
    ( inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) != multiply(double_divide(X_10,inverse(identity)),X_11)
    | double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity),inverse(double_divide(X_11,double_divide(X_10,inverse(identity))))) )],[refute_0_59,refute_0_62]) ).

cnf(refute_0_64,plain,
    double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))),multiply(double_divide(X_10,inverse(identity)),X_11)) )],[refute_0_58,refute_0_63]) ).

cnf(refute_0_65,plain,
    double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)))]]) ).

cnf(refute_0_66,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) != double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))
    | double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) != multiply(double_divide(X_10,inverse(identity)),X_11)
    | double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))) ),[1,1],$fot(multiply(double_divide(X_10,inverse(identity)),X_11))]]) ).

cnf(refute_0_67,plain,
    ( double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) != multiply(double_divide(X_10,inverse(identity)),X_11)
    | double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity),multiply(double_divide(X_10,inverse(identity)),X_11)) )],[refute_0_64,refute_0_67]) ).

cnf(refute_0_69,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)))]]) ).

cnf(refute_0_70,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))) ),[1,0],$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).

cnf(refute_0_71,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_68,refute_0_71]) ).

cnf(refute_0_73,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)))]]) ).

cnf(refute_0_74,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))) )],[refute_0_72,refute_0_73]) ).

cnf(refute_0_75,plain,
    double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),X_11) )],[refute_0_55,refute_0_74]) ).

cnf(refute_0_76,plain,
    double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)) = X_14,
    inference(subst,[],[refute_0_75:[bind(X_10,$fot(identity)),bind(X_11,$fot(X_14))]]) ).

cnf(refute_0_77,plain,
    ( double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)) != X_14
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)),X_14) ),[0,0,1,0],$fot(identity)]]) ).

cnf(refute_0_78,plain,
    ( double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)) != X_14
    | double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_52,refute_0_77]) ).

cnf(refute_0_79,plain,
    double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)),X_14) )],[refute_0_76,refute_0_78]) ).

cnf(refute_0_80,plain,
    multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
    inference(subst,[],[refute_0_8:[bind(X,$fot(identity)),bind(Y,$fot(X_3))]]) ).

cnf(refute_0_81,plain,
    inverse(X_3) = double_divide(X_3,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_82,plain,
    ( inverse(X_3) != double_divide(X_3,identity)
    | double_divide(X_3,identity) = inverse(X_3) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_3))),bind(Y0,$fot(double_divide(X_3,identity)))]]) ).

cnf(refute_0_83,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    ( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
    | double_divide(X_3,identity) != inverse(X_3)
    | multiply(identity,X_3) = inverse(inverse(X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).

cnf(refute_0_85,plain,
    ( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
    | multiply(identity,X_3) = inverse(inverse(X_3)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    multiply(identity,X_3) = inverse(inverse(X_3)),
    inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_80,refute_0_85]) ).

cnf(refute_0_87,plain,
    multiply(identity,X_14) = inverse(inverse(X_14)),
    inference(subst,[],[refute_0_86:[bind(X_3,$fot(X_14))]]) ).

cnf(refute_0_88,plain,
    double_divide(identity,multiply(identity,X_14)) = double_divide(identity,multiply(identity,X_14)),
    introduced(tautology,[refl,[$fot(double_divide(identity,multiply(identity,X_14)))]]) ).

cnf(refute_0_89,plain,
    ( multiply(identity,X_14) != inverse(inverse(X_14))
    | double_divide(identity,multiply(identity,X_14)) != double_divide(identity,multiply(identity,X_14))
    | double_divide(identity,multiply(identity,X_14)) = double_divide(identity,inverse(inverse(X_14))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(identity,X_14)),double_divide(identity,multiply(identity,X_14))) ),[1,1],$fot(inverse(inverse(X_14)))]]) ).

cnf(refute_0_90,plain,
    ( multiply(identity,X_14) != inverse(inverse(X_14))
    | double_divide(identity,multiply(identity,X_14)) = double_divide(identity,inverse(inverse(X_14))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(identity,X_14)),double_divide(identity,multiply(identity,X_14))) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    double_divide(identity,multiply(identity,X_14)) = double_divide(identity,inverse(inverse(X_14))),
    inference(resolve,[$cnf( $equal(multiply(identity,X_14),inverse(inverse(X_14))) )],[refute_0_87,refute_0_90]) ).

cnf(refute_0_92,plain,
    double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)))]]) ).

cnf(refute_0_93,plain,
    ( double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) != double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity))
    | double_divide(identity,multiply(identity,X_14)) != double_divide(identity,inverse(inverse(X_14)))
    | double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity))) ),[1,0],$fot(double_divide(identity,inverse(inverse(X_14))))]]) ).

cnf(refute_0_94,plain,
    ( double_divide(identity,multiply(identity,X_14)) != double_divide(identity,inverse(inverse(X_14)))
    | double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity))) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(identity,X_14)),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_91,refute_0_94]) ).

cnf(refute_0_96,plain,
    ( double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) != X_14
    | double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),X_14) ),[0],$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)))]]) ).

cnf(refute_0_97,plain,
    ( double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) != X_14
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),X_14) )],[refute_0_79,refute_0_97]) ).

cnf(refute_0_99,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != X_14
    | double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)) != identity
    | double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(X_14)]]) ).

cnf(refute_0_100,plain,
    ( double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)) != identity
    | double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),X_14) )],[refute_0_98,refute_0_99]) ).

cnf(refute_0_101,plain,
    double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)),identity) )],[refute_0_48,refute_0_100]) ).

cnf(refute_0_102,plain,
    double_divide(double_divide(inverse(identity),identity),inverse(identity)) = identity,
    inference(subst,[],[refute_0_101:[bind(X_14,$fot(identity))]]) ).

cnf(refute_0_103,plain,
    inverse(inverse(identity)) = double_divide(inverse(identity),identity),
    inference(subst,[],[inverse:[bind(X,$fot(inverse(identity)))]]) ).

cnf(refute_0_104,plain,
    ( inverse(inverse(identity)) != double_divide(inverse(identity),identity)
    | double_divide(inverse(identity),identity) = inverse(inverse(identity)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(identity)))),bind(Y0,$fot(double_divide(inverse(identity),identity)))]]) ).

cnf(refute_0_105,plain,
    double_divide(inverse(identity),identity) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),double_divide(inverse(identity),identity)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    ( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != identity
    | double_divide(inverse(identity),identity) != inverse(inverse(identity))
    | double_divide(inverse(inverse(identity)),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),identity) ),[0,0],$fot(inverse(inverse(identity)))]]) ).

cnf(refute_0_107,plain,
    ( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != identity
    | double_divide(inverse(inverse(identity)),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),identity),inverse(inverse(identity))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    double_divide(inverse(inverse(identity)),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),identity) )],[refute_0_102,refute_0_107]) ).

cnf(refute_0_109,plain,
    double_divide(double_divide(X_16,double_divide(double_divide(X_16,inverse(X_16)),inverse(identity))),inverse(identity)) = X_16,
    inference(subst,[],[refute_0_47:[bind(X_10,$fot(X_16)),bind(X_11,$fot(X_16))]]) ).

cnf(refute_0_110,plain,
    identity = double_divide(X_16,inverse(X_16)),
    inference(subst,[],[identity:[bind(X,$fot(X_16))]]) ).

cnf(refute_0_111,plain,
    ( identity != double_divide(X_16,inverse(X_16))
    | double_divide(X_16,inverse(X_16)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_16,inverse(X_16))))]]) ).

cnf(refute_0_112,plain,
    double_divide(X_16,inverse(X_16)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_16,inverse(X_16))) )],[refute_0_110,refute_0_111]) ).

cnf(refute_0_113,plain,
    ( double_divide(X_16,inverse(X_16)) != identity
    | double_divide(double_divide(X_16,double_divide(double_divide(X_16,inverse(X_16)),inverse(identity))),inverse(identity)) != X_16
    | double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) = X_16 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_16,double_divide(double_divide(X_16,inverse(X_16)),inverse(identity))),inverse(identity)),X_16) ),[0,0,1,0],$fot(identity)]]) ).

cnf(refute_0_114,plain,
    ( double_divide(double_divide(X_16,double_divide(double_divide(X_16,inverse(X_16)),inverse(identity))),inverse(identity)) != X_16
    | double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) = X_16 ),
    inference(resolve,[$cnf( $equal(double_divide(X_16,inverse(X_16)),identity) )],[refute_0_112,refute_0_113]) ).

cnf(refute_0_115,plain,
    double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) = X_16,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_16,double_divide(double_divide(X_16,inverse(X_16)),inverse(identity))),inverse(identity)),X_16) )],[refute_0_109,refute_0_114]) ).

cnf(refute_0_116,plain,
    double_divide(X_16,identity) = inverse(X_16),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_16))]]) ).

cnf(refute_0_117,plain,
    double_divide(X_16,double_divide(identity,inverse(identity))) = double_divide(X_16,double_divide(identity,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(X_16,double_divide(identity,inverse(identity))))]]) ).

cnf(refute_0_118,plain,
    ( double_divide(X_16,double_divide(identity,inverse(identity))) != double_divide(X_16,double_divide(identity,inverse(identity)))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(X_16,double_divide(identity,inverse(identity))) = double_divide(X_16,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_16,double_divide(identity,inverse(identity))),double_divide(X_16,double_divide(identity,inverse(identity)))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_119,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | double_divide(X_16,double_divide(identity,inverse(identity))) = double_divide(X_16,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_16,double_divide(identity,inverse(identity))),double_divide(X_16,double_divide(identity,inverse(identity)))) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    double_divide(X_16,double_divide(identity,inverse(identity))) = double_divide(X_16,identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_52,refute_0_119]) ).

cnf(refute_0_121,plain,
    ( double_divide(X_16,double_divide(identity,inverse(identity))) != double_divide(X_16,identity)
    | double_divide(X_16,identity) != inverse(X_16)
    | double_divide(X_16,double_divide(identity,inverse(identity))) = inverse(X_16) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(X_16,double_divide(identity,inverse(identity))))),bind(Y0,$fot(double_divide(X_16,identity))),bind(Z0,$fot(inverse(X_16)))]]) ).

cnf(refute_0_122,plain,
    ( double_divide(X_16,identity) != inverse(X_16)
    | double_divide(X_16,double_divide(identity,inverse(identity))) = inverse(X_16) ),
    inference(resolve,[$cnf( $equal(double_divide(X_16,double_divide(identity,inverse(identity))),double_divide(X_16,identity)) )],[refute_0_120,refute_0_121]) ).

cnf(refute_0_123,plain,
    double_divide(X_16,double_divide(identity,inverse(identity))) = inverse(X_16),
    inference(resolve,[$cnf( $equal(double_divide(X_16,identity),inverse(X_16)) )],[refute_0_116,refute_0_122]) ).

cnf(refute_0_124,plain,
    double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)))]]) ).

cnf(refute_0_125,plain,
    ( double_divide(X_16,double_divide(identity,inverse(identity))) != inverse(X_16)
    | double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity))
    | double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_16),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity))) ),[1,0],$fot(inverse(X_16))]]) ).

cnf(refute_0_126,plain,
    ( double_divide(X_16,double_divide(identity,inverse(identity))) != inverse(X_16)
    | double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_16),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity))) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_16),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(X_16)) )],[refute_0_123,refute_0_126]) ).

cnf(refute_0_128,plain,
    ( double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) != X_16
    | double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(inverse(X_16),inverse(identity))
    | double_divide(inverse(X_16),inverse(identity)) = X_16 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)),X_16) ),[0],$fot(double_divide(inverse(X_16),inverse(identity)))]]) ).

cnf(refute_0_129,plain,
    ( double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)) != X_16
    | double_divide(inverse(X_16),inverse(identity)) = X_16 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(inverse(X_16),inverse(identity))) )],[refute_0_127,refute_0_128]) ).

cnf(refute_0_130,plain,
    double_divide(inverse(X_16),inverse(identity)) = X_16,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_16,double_divide(identity,inverse(identity))),inverse(identity)),X_16) )],[refute_0_115,refute_0_129]) ).

cnf(refute_0_131,plain,
    double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_130:[bind(X_16,$fot(inverse(identity)))]]) ).

cnf(refute_0_132,plain,
    ( double_divide(inverse(inverse(identity)),inverse(identity)) != identity
    | double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
    | inverse(identity) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),identity) ),[0],$fot(inverse(identity))]]) ).

cnf(refute_0_133,plain,
    ( double_divide(inverse(inverse(identity)),inverse(identity)) != identity
    | inverse(identity) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    inverse(identity) = identity,
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),identity) )],[refute_0_108,refute_0_133]) ).

cnf(refute_0_135,plain,
    ( multiply(inverse(X_3),X_3) != inverse(identity)
    | inverse(identity) != identity
    | multiply(inverse(X_3),X_3) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).

cnf(refute_0_136,plain,
    ( multiply(inverse(X_3),X_3) != inverse(identity)
    | multiply(inverse(X_3),X_3) = identity ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    multiply(inverse(X_3),X_3) = identity,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_15,refute_0_136]) ).

cnf(refute_0_138,plain,
    multiply(inverse(a1),a1) = identity,
    inference(subst,[],[refute_0_137:[bind(X_3,$fot(a1))]]) ).

cnf(refute_0_139,plain,
    ( multiply(inverse(a1),a1) != identity
    | identity != identity
    | multiply(inverse(a1),a1) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(identity)]]) ).

cnf(refute_0_140,plain,
    ( identity != identity
    | multiply(inverse(a1),a1) = identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4)
    | multiply(identity,a2) != a2
    | identity != identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_140,prove_these_axioms]) ).

cnf(refute_0_142,plain,
    double_divide(inverse(X_16),identity) = inverse(inverse(X_16)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_16)))]]) ).

cnf(refute_0_143,plain,
    double_divide(inverse(X_16),inverse(identity)) = double_divide(inverse(X_16),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_16),inverse(identity)))]]) ).

cnf(refute_0_144,plain,
    ( double_divide(inverse(X_16),inverse(identity)) != double_divide(inverse(X_16),inverse(identity))
    | inverse(identity) != identity
    | double_divide(inverse(X_16),inverse(identity)) = double_divide(inverse(X_16),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_16),inverse(identity)),double_divide(inverse(X_16),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_145,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(X_16),inverse(identity)) = double_divide(inverse(X_16),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_16),inverse(identity)),double_divide(inverse(X_16),inverse(identity))) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    double_divide(inverse(X_16),inverse(identity)) = double_divide(inverse(X_16),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_145]) ).

cnf(refute_0_147,plain,
    ( double_divide(inverse(X_16),identity) != inverse(inverse(X_16))
    | double_divide(inverse(X_16),inverse(identity)) != double_divide(inverse(X_16),identity)
    | double_divide(inverse(X_16),inverse(identity)) = inverse(inverse(X_16)) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(inverse(X_16),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(X_16),identity))),bind(Z0,$fot(inverse(inverse(X_16))))]]) ).

cnf(refute_0_148,plain,
    ( double_divide(inverse(X_16),identity) != inverse(inverse(X_16))
    | double_divide(inverse(X_16),inverse(identity)) = inverse(inverse(X_16)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_16),inverse(identity)),double_divide(inverse(X_16),identity)) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    double_divide(inverse(X_16),inverse(identity)) = inverse(inverse(X_16)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_16),identity),inverse(inverse(X_16))) )],[refute_0_142,refute_0_148]) ).

cnf(refute_0_150,plain,
    ( double_divide(inverse(X_16),inverse(identity)) != X_16
    | double_divide(inverse(X_16),inverse(identity)) != inverse(inverse(X_16))
    | inverse(inverse(X_16)) = X_16 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_16),inverse(identity)),X_16) ),[0],$fot(inverse(inverse(X_16)))]]) ).

cnf(refute_0_151,plain,
    ( double_divide(inverse(X_16),inverse(identity)) != X_16
    | inverse(inverse(X_16)) = X_16 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_16),inverse(identity)),inverse(inverse(X_16))) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    inverse(inverse(X_16)) = X_16,
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_16),inverse(identity)),X_16) )],[refute_0_130,refute_0_151]) ).

cnf(refute_0_153,plain,
    inverse(inverse(X_3)) = X_3,
    inference(subst,[],[refute_0_152:[bind(X_16,$fot(X_3))]]) ).

cnf(refute_0_154,plain,
    ( multiply(identity,X_3) != inverse(inverse(X_3))
    | inverse(inverse(X_3)) != X_3
    | multiply(identity,X_3) = X_3 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,X_3),X_3) ),[0],$fot(inverse(inverse(X_3)))]]) ).

cnf(refute_0_155,plain,
    ( multiply(identity,X_3) != inverse(inverse(X_3))
    | multiply(identity,X_3) = X_3 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    multiply(identity,X_3) = X_3,
    inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_86,refute_0_155]) ).

cnf(refute_0_157,plain,
    multiply(identity,a2) = a2,
    inference(subst,[],[refute_0_156:[bind(X_3,$fot(a2))]]) ).

cnf(refute_0_158,plain,
    ( multiply(identity,a2) != a2
    | a2 != a2
    | multiply(identity,a2) = a2 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(a2)]]) ).

cnf(refute_0_159,plain,
    ( a2 != a2
    | multiply(identity,a2) = a2 ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4)
    | a2 != a2
    | identity != identity ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_159,refute_0_141]) ).

cnf(refute_0_161,plain,
    a2 = a2,
    introduced(tautology,[refl,[$fot(a2)]]) ).

cnf(refute_0_162,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4)
    | identity != identity ),
    inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_161,refute_0_160]) ).

cnf(refute_0_163,plain,
    identity = identity,
    introduced(tautology,[refl,[$fot(identity)]]) ).

cnf(refute_0_164,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4) ),
    inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_163,refute_0_162]) ).

cnf(refute_0_165,plain,
    multiply(X,double_divide(X,X_36)) = inverse(double_divide(double_divide(X,X_36),X)),
    inference(subst,[],[refute_0_8:[bind(Y,$fot(double_divide(X,X_36)))]]) ).

cnf(refute_0_166,plain,
    multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = inverse(double_divide(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),inverse(identity))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))))]]) ).

cnf(refute_0_167,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_23:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).

cnf(refute_0_168,plain,
    identity = double_divide(X_10,inverse(X_10)),
    inference(subst,[],[identity:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_169,plain,
    ( identity != double_divide(X_10,inverse(X_10))
    | double_divide(X_10,inverse(X_10)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_10,inverse(X_10))))]]) ).

cnf(refute_0_170,plain,
    double_divide(X_10,inverse(X_10)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_10,inverse(X_10))) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    ( double_divide(X_10,inverse(X_10)) != identity
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).

cnf(refute_0_172,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(X_10)),identity) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_167,refute_0_172]) ).

cnf(refute_0_174,plain,
    double_divide(X_11,identity) = inverse(X_11),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_175,plain,
    double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) = double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))))]]) ).

cnf(refute_0_176,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) != double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))
    | double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))),double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) ),[1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_177,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))),double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),
    inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_174,refute_0_177]) ).

cnf(refute_0_179,plain,
    double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) = double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),
    introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))))]]) ).

cnf(refute_0_180,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) != double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))))
    | double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))
    | double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))))) ),[1,1],$fot(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))]]) ).

cnf(refute_0_181,plain,
    ( double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))
    | double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))),double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) )],[refute_0_178,refute_0_181]) ).

cnf(refute_0_183,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)))]]) ).

cnf(refute_0_184,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))))]]) ).

cnf(refute_0_185,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity))) )],[refute_0_183,refute_0_184]) ).

cnf(refute_0_186,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))) )],[refute_0_182,refute_0_185]) ).

cnf(refute_0_187,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)))]]) ).

cnf(refute_0_188,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_173,refute_0_188]) ).

cnf(refute_0_190,plain,
    double_divide(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),inverse(identity)) = X_21,
    inference(subst,[],[refute_0_189:[bind(X_10,$fot(X_20)),bind(X_11,$fot(X_21))]]) ).

cnf(refute_0_191,plain,
    ( multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != inverse(double_divide(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),inverse(identity)))
    | double_divide(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),inverse(identity)) != X_21
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = inverse(X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),inverse(double_divide(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),inverse(identity)))) ),[1,0],$fot(X_21)]]) ).

cnf(refute_0_192,plain,
    ( multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != inverse(double_divide(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),inverse(identity)))
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = inverse(X_21) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),inverse(identity)),X_21) )],[refute_0_190,refute_0_191]) ).

cnf(refute_0_193,plain,
    multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = inverse(X_21),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),inverse(double_divide(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),inverse(identity)))) )],[refute_0_166,refute_0_192]) ).

cnf(refute_0_194,plain,
    multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))) = double_divide(X_20,double_divide(inverse(X_21),X_20)),
    inference(subst,[],[refute_0_156:[bind(X_3,$fot(double_divide(X_20,double_divide(inverse(X_21),X_20))))]]) ).

cnf(refute_0_195,plain,
    inverse(inverse(X_20)) = X_20,
    inference(subst,[],[refute_0_152:[bind(X_16,$fot(X_20))]]) ).

cnf(refute_0_196,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_14))),
    inference(subst,[],[refute_0_47:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(identity,inverse(inverse(X_14)))))]]) ).

cnf(refute_0_197,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_14)))
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != X_14
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_14))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_14)))) ),[0,0,1,0],$fot(X_14)]]) ).

cnf(refute_0_198,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_14)))
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_14))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),X_14) )],[refute_0_98,refute_0_197]) ).

cnf(refute_0_199,plain,
    double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_14))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_196,refute_0_198]) ).

cnf(refute_0_200,plain,
    inverse(double_divide(identity,inverse(X_14))) = multiply(inverse(X_14),identity),
    inference(subst,[],[refute_0_57:[bind(X,$fot(inverse(X_14))),bind(Y,$fot(identity))]]) ).

cnf(refute_0_201,plain,
    double_divide(double_divide(identity,inverse(X_14)),identity) = inverse(double_divide(identity,inverse(X_14))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,inverse(X_14))))]]) ).

cnf(refute_0_202,plain,
    ( double_divide(double_divide(identity,inverse(X_14)),identity) != inverse(double_divide(identity,inverse(X_14)))
    | inverse(double_divide(identity,inverse(X_14))) != multiply(inverse(X_14),identity)
    | double_divide(double_divide(identity,inverse(X_14)),identity) = multiply(inverse(X_14),identity) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(identity,inverse(X_14)),identity))),bind(Y0,$fot(inverse(double_divide(identity,inverse(X_14))))),bind(Z0,$fot(multiply(inverse(X_14),identity)))]]) ).

cnf(refute_0_203,plain,
    ( inverse(double_divide(identity,inverse(X_14))) != multiply(inverse(X_14),identity)
    | double_divide(double_divide(identity,inverse(X_14)),identity) = multiply(inverse(X_14),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),identity),inverse(double_divide(identity,inverse(X_14)))) )],[refute_0_201,refute_0_202]) ).

cnf(refute_0_204,plain,
    double_divide(double_divide(identity,inverse(X_14)),identity) = multiply(inverse(X_14),identity),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(X_14))),multiply(inverse(X_14),identity)) )],[refute_0_200,refute_0_203]) ).

cnf(refute_0_205,plain,
    double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)))]]) ).

cnf(refute_0_206,plain,
    ( double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_207,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),inverse(identity))) )],[refute_0_205,refute_0_206]) ).

cnf(refute_0_208,plain,
    double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_207]) ).

cnf(refute_0_209,plain,
    double_divide(X_14,identity) = inverse(X_14),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_14))]]) ).

cnf(refute_0_210,plain,
    double_divide(X_14,inverse(identity)) = double_divide(X_14,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_14,inverse(identity)))]]) ).

cnf(refute_0_211,plain,
    ( double_divide(X_14,inverse(identity)) != double_divide(X_14,inverse(identity))
    | inverse(identity) != identity
    | double_divide(X_14,inverse(identity)) = double_divide(X_14,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_212,plain,
    ( inverse(identity) != identity
    | double_divide(X_14,inverse(identity)) = double_divide(X_14,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,inverse(identity))) )],[refute_0_210,refute_0_211]) ).

cnf(refute_0_213,plain,
    double_divide(X_14,inverse(identity)) = double_divide(X_14,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_212]) ).

cnf(refute_0_214,plain,
    ( double_divide(X_14,identity) != inverse(X_14)
    | double_divide(X_14,inverse(identity)) != double_divide(X_14,identity)
    | double_divide(X_14,inverse(identity)) = inverse(X_14) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(X_14,inverse(identity)))),bind(Y0,$fot(double_divide(X_14,identity))),bind(Z0,$fot(inverse(X_14)))]]) ).

cnf(refute_0_215,plain,
    ( double_divide(X_14,identity) != inverse(X_14)
    | double_divide(X_14,inverse(identity)) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,identity)) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    double_divide(X_14,inverse(identity)) = inverse(X_14),
    inference(resolve,[$cnf( $equal(double_divide(X_14,identity),inverse(X_14)) )],[refute_0_209,refute_0_215]) ).

cnf(refute_0_217,plain,
    double_divide(identity,double_divide(X_14,inverse(identity))) = double_divide(identity,double_divide(X_14,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_14,inverse(identity))))]]) ).

cnf(refute_0_218,plain,
    ( double_divide(X_14,inverse(identity)) != inverse(X_14)
    | double_divide(identity,double_divide(X_14,inverse(identity))) != double_divide(identity,double_divide(X_14,inverse(identity)))
    | double_divide(identity,double_divide(X_14,inverse(identity))) = double_divide(identity,inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(X_14,inverse(identity))),double_divide(identity,double_divide(X_14,inverse(identity)))) ),[1,1],$fot(inverse(X_14))]]) ).

cnf(refute_0_219,plain,
    ( double_divide(X_14,inverse(identity)) != inverse(X_14)
    | double_divide(identity,double_divide(X_14,inverse(identity))) = double_divide(identity,inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_14,inverse(identity))),double_divide(identity,double_divide(X_14,inverse(identity)))) )],[refute_0_217,refute_0_218]) ).

cnf(refute_0_220,plain,
    double_divide(identity,double_divide(X_14,inverse(identity))) = double_divide(identity,inverse(X_14)),
    inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),inverse(X_14)) )],[refute_0_216,refute_0_219]) ).

cnf(refute_0_221,plain,
    double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)))]]) ).

cnf(refute_0_222,plain,
    ( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity))
    | double_divide(identity,double_divide(X_14,inverse(identity))) != double_divide(identity,inverse(X_14))
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(identity,inverse(X_14)))]]) ).

cnf(refute_0_223,plain,
    ( double_divide(identity,double_divide(X_14,inverse(identity))) != double_divide(identity,inverse(X_14))
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity))) )],[refute_0_221,refute_0_222]) ).

cnf(refute_0_224,plain,
    double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_14,inverse(identity))),double_divide(identity,inverse(X_14))) )],[refute_0_220,refute_0_223]) ).

cnf(refute_0_225,plain,
    ( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),inverse(identity))
    | double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),identity)
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(identity,inverse(X_14)),identity)))]]) ).

cnf(refute_0_226,plain,
    ( double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),identity)
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),inverse(identity))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_208,refute_0_226]) ).

cnf(refute_0_228,plain,
    ( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),identity)
    | double_divide(double_divide(identity,inverse(X_14)),identity) != multiply(inverse(X_14),identity)
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = multiply(inverse(X_14),identity) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,inverse(X_14)),identity))),bind(Z0,$fot(multiply(inverse(X_14),identity)))]]) ).

cnf(refute_0_229,plain,
    ( double_divide(double_divide(identity,inverse(X_14)),identity) != multiply(inverse(X_14),identity)
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = multiply(inverse(X_14),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_227,refute_0_228]) ).

cnf(refute_0_230,plain,
    double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = multiply(inverse(X_14),identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),identity),multiply(inverse(X_14),identity)) )],[refute_0_204,refute_0_229]) ).

cnf(refute_0_231,plain,
    ( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != multiply(inverse(X_14),identity)
    | double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_14)))
    | multiply(inverse(X_14),identity) = double_divide(identity,inverse(inverse(X_14))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_14)))) ),[0],$fot(multiply(inverse(X_14),identity))]]) ).

cnf(refute_0_232,plain,
    ( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_14)))
    | multiply(inverse(X_14),identity) = double_divide(identity,inverse(inverse(X_14))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),multiply(inverse(X_14),identity)) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    multiply(inverse(X_14),identity) = double_divide(identity,inverse(inverse(X_14))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_199,refute_0_232]) ).

cnf(refute_0_234,plain,
    inverse(double_divide(identity,inverse(inverse(X_14)))) = multiply(inverse(inverse(X_14)),identity),
    inference(subst,[],[refute_0_57:[bind(X,$fot(inverse(inverse(X_14)))),bind(Y,$fot(identity))]]) ).

cnf(refute_0_235,plain,
    double_divide(double_divide(identity,inverse(inverse(X_14))),identity) = inverse(double_divide(identity,inverse(inverse(X_14)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,inverse(inverse(X_14)))))]]) ).

cnf(refute_0_236,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_14))),identity) != inverse(double_divide(identity,inverse(inverse(X_14))))
    | inverse(double_divide(identity,inverse(inverse(X_14)))) != multiply(inverse(inverse(X_14)),identity)
    | double_divide(double_divide(identity,inverse(inverse(X_14))),identity) = multiply(inverse(inverse(X_14)),identity) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),identity))),bind(Y0,$fot(inverse(double_divide(identity,inverse(inverse(X_14)))))),bind(Z0,$fot(multiply(inverse(inverse(X_14)),identity)))]]) ).

cnf(refute_0_237,plain,
    ( inverse(double_divide(identity,inverse(inverse(X_14)))) != multiply(inverse(inverse(X_14)),identity)
    | double_divide(double_divide(identity,inverse(inverse(X_14))),identity) = multiply(inverse(inverse(X_14)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),identity),inverse(double_divide(identity,inverse(inverse(X_14))))) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    double_divide(double_divide(identity,inverse(inverse(X_14))),identity) = multiply(inverse(inverse(X_14)),identity),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(X_14)))),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_234,refute_0_237]) ).

cnf(refute_0_239,plain,
    double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)))]]) ).

cnf(refute_0_240,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_241,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))) )],[refute_0_239,refute_0_240]) ).

cnf(refute_0_242,plain,
    double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_241]) ).

cnf(refute_0_243,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_14))),identity) != multiply(inverse(inverse(X_14)),identity)
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_14))),identity)
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = multiply(inverse(inverse(X_14)),identity) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),identity))),bind(Z0,$fot(multiply(inverse(inverse(X_14)),identity)))]]) ).

cnf(refute_0_244,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_14))),identity) != multiply(inverse(inverse(X_14)),identity)
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = multiply(inverse(inverse(X_14)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_14))),identity)) )],[refute_0_242,refute_0_243]) ).

cnf(refute_0_245,plain,
    double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = multiply(inverse(inverse(X_14)),identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),identity),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_238,refute_0_244]) ).

cnf(refute_0_246,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != X_14
    | double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != multiply(inverse(inverse(X_14)),identity)
    | multiply(inverse(inverse(X_14)),identity) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),X_14) ),[0],$fot(multiply(inverse(inverse(X_14)),identity))]]) ).

cnf(refute_0_247,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != X_14
    | multiply(inverse(inverse(X_14)),identity) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    multiply(inverse(inverse(X_14)),identity) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),X_14) )],[refute_0_98,refute_0_247]) ).

cnf(refute_0_249,plain,
    inverse(inverse(X_14)) = X_14,
    inference(subst,[],[refute_0_152:[bind(X_16,$fot(X_14))]]) ).

cnf(refute_0_250,plain,
    multiply(inverse(inverse(X_14)),identity) = multiply(inverse(inverse(X_14)),identity),
    introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_14)),identity))]]) ).

cnf(refute_0_251,plain,
    ( multiply(inverse(inverse(X_14)),identity) != multiply(inverse(inverse(X_14)),identity)
    | inverse(inverse(X_14)) != X_14
    | multiply(inverse(inverse(X_14)),identity) = multiply(X_14,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),multiply(inverse(inverse(X_14)),identity)) ),[1,0],$fot(X_14)]]) ).

cnf(refute_0_252,plain,
    ( inverse(inverse(X_14)) != X_14
    | multiply(inverse(inverse(X_14)),identity) = multiply(X_14,identity) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    multiply(inverse(inverse(X_14)),identity) = multiply(X_14,identity),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_249,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( multiply(inverse(inverse(X_14)),identity) != X_14
    | multiply(inverse(inverse(X_14)),identity) != multiply(X_14,identity)
    | multiply(X_14,identity) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),X_14) ),[0],$fot(multiply(X_14,identity))]]) ).

cnf(refute_0_255,plain,
    ( multiply(inverse(inverse(X_14)),identity) != X_14
    | multiply(X_14,identity) = X_14 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),multiply(X_14,identity)) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    multiply(X_14,identity) = X_14,
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),X_14) )],[refute_0_248,refute_0_255]) ).

cnf(refute_0_257,plain,
    multiply(inverse(X_14),identity) = inverse(X_14),
    inference(subst,[],[refute_0_256:[bind(X_14,$fot(inverse(X_14)))]]) ).

cnf(refute_0_258,plain,
    ( multiply(inverse(X_14),identity) != double_divide(identity,inverse(inverse(X_14)))
    | multiply(inverse(X_14),identity) != inverse(X_14)
    | inverse(X_14) = double_divide(identity,inverse(inverse(X_14))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_14),identity),double_divide(identity,inverse(inverse(X_14)))) ),[0],$fot(inverse(X_14))]]) ).

cnf(refute_0_259,plain,
    ( multiply(inverse(X_14),identity) != double_divide(identity,inverse(inverse(X_14)))
    | inverse(X_14) = double_divide(identity,inverse(inverse(X_14))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),inverse(X_14)) )],[refute_0_257,refute_0_258]) ).

cnf(refute_0_260,plain,
    double_divide(identity,inverse(inverse(X_14))) = double_divide(identity,inverse(inverse(X_14))),
    introduced(tautology,[refl,[$fot(double_divide(identity,inverse(inverse(X_14))))]]) ).

cnf(refute_0_261,plain,
    ( double_divide(identity,inverse(inverse(X_14))) != double_divide(identity,inverse(inverse(X_14)))
    | inverse(inverse(X_14)) != X_14
    | double_divide(identity,inverse(inverse(X_14))) = double_divide(identity,X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(X_14))),double_divide(identity,inverse(inverse(X_14)))) ),[1,1],$fot(X_14)]]) ).

cnf(refute_0_262,plain,
    ( inverse(inverse(X_14)) != X_14
    | double_divide(identity,inverse(inverse(X_14))) = double_divide(identity,X_14) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_14))),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    double_divide(identity,inverse(inverse(X_14))) = double_divide(identity,X_14),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_249,refute_0_262]) ).

cnf(refute_0_264,plain,
    ( double_divide(identity,inverse(inverse(X_14))) != double_divide(identity,X_14)
    | inverse(X_14) != double_divide(identity,inverse(inverse(X_14)))
    | inverse(X_14) = double_divide(identity,X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_14),double_divide(identity,inverse(inverse(X_14)))) ),[1],$fot(double_divide(identity,X_14))]]) ).

cnf(refute_0_265,plain,
    ( inverse(X_14) != double_divide(identity,inverse(inverse(X_14)))
    | inverse(X_14) = double_divide(identity,X_14) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_14))),double_divide(identity,X_14)) )],[refute_0_263,refute_0_264]) ).

cnf(refute_0_266,plain,
    ( multiply(inverse(X_14),identity) != double_divide(identity,inverse(inverse(X_14)))
    | inverse(X_14) = double_divide(identity,X_14) ),
    inference(resolve,[$cnf( $equal(inverse(X_14),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_259,refute_0_265]) ).

cnf(refute_0_267,plain,
    inverse(X_14) = double_divide(identity,X_14),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_233,refute_0_266]) ).

cnf(refute_0_268,plain,
    ( inverse(X_14) != double_divide(identity,X_14)
    | double_divide(identity,X_14) = inverse(X_14) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_14))),bind(Y0,$fot(double_divide(identity,X_14)))]]) ).

cnf(refute_0_269,plain,
    double_divide(identity,X_14) = inverse(X_14),
    inference(resolve,[$cnf( $equal(inverse(X_14),double_divide(identity,X_14)) )],[refute_0_267,refute_0_268]) ).

cnf(refute_0_270,plain,
    double_divide(identity,inverse(X_20)) = inverse(inverse(X_20)),
    inference(subst,[],[refute_0_269:[bind(X_14,$fot(inverse(X_20)))]]) ).

cnf(refute_0_271,plain,
    ( double_divide(identity,inverse(X_20)) != inverse(inverse(X_20))
    | inverse(inverse(X_20)) != X_20
    | double_divide(identity,inverse(X_20)) = X_20 ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(identity,inverse(X_20)))),bind(Y0,$fot(inverse(inverse(X_20)))),bind(Z0,$fot(X_20))]]) ).

cnf(refute_0_272,plain,
    ( inverse(inverse(X_20)) != X_20
    | double_divide(identity,inverse(X_20)) = X_20 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_20)),inverse(inverse(X_20))) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    double_divide(identity,inverse(X_20)) = X_20,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_20)),X_20) )],[refute_0_195,refute_0_272]) ).

cnf(refute_0_274,plain,
    double_divide(inverse(X_21),double_divide(identity,inverse(X_20))) = double_divide(inverse(X_21),double_divide(identity,inverse(X_20))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))]]) ).

cnf(refute_0_275,plain,
    ( double_divide(identity,inverse(X_20)) != X_20
    | double_divide(inverse(X_21),double_divide(identity,inverse(X_20))) != double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))
    | double_divide(inverse(X_21),double_divide(identity,inverse(X_20))) = double_divide(inverse(X_21),X_20) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_21),double_divide(identity,inverse(X_20))),double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) ),[1,1],$fot(X_20)]]) ).

cnf(refute_0_276,plain,
    ( double_divide(identity,inverse(X_20)) != X_20
    | double_divide(inverse(X_21),double_divide(identity,inverse(X_20))) = double_divide(inverse(X_21),X_20) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_21),double_divide(identity,inverse(X_20))),double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    double_divide(inverse(X_21),double_divide(identity,inverse(X_20))) = double_divide(inverse(X_21),X_20),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_20)),X_20) )],[refute_0_273,refute_0_276]) ).

cnf(refute_0_278,plain,
    double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) = double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),
    introduced(tautology,[refl,[$fot(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))]]) ).

cnf(refute_0_279,plain,
    ( double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) != double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))
    | double_divide(inverse(X_21),double_divide(identity,inverse(X_20))) != double_divide(inverse(X_21),X_20)
    | double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) = double_divide(X_20,double_divide(inverse(X_21),X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) ),[1,1],$fot(double_divide(inverse(X_21),X_20))]]) ).

cnf(refute_0_280,plain,
    ( double_divide(inverse(X_21),double_divide(identity,inverse(X_20))) != double_divide(inverse(X_21),X_20)
    | double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) = double_divide(X_20,double_divide(inverse(X_21),X_20)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) = double_divide(X_20,double_divide(inverse(X_21),X_20)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_21),double_divide(identity,inverse(X_20))),double_divide(inverse(X_21),X_20)) )],[refute_0_277,refute_0_280]) ).

cnf(refute_0_282,plain,
    multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),
    introduced(tautology,[refl,[$fot(multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))))]]) ).

cnf(refute_0_283,plain,
    ( multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))
    | double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) != double_divide(X_20,double_divide(inverse(X_21),X_20))
    | multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))) ),[1,1],$fot(double_divide(X_20,double_divide(inverse(X_21),X_20)))]]) ).

cnf(refute_0_284,plain,
    ( double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))) != double_divide(X_20,double_divide(inverse(X_21),X_20))
    | multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))) ),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))) )],[refute_0_282,refute_0_283]) ).

cnf(refute_0_285,plain,
    multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))),
    inference(resolve,[$cnf( $equal(double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))),double_divide(X_20,double_divide(inverse(X_21),X_20))) )],[refute_0_281,refute_0_284]) ).

cnf(refute_0_286,plain,
    multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),
    introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))))]]) ).

cnf(refute_0_287,plain,
    ( multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))
    | inverse(identity) != identity
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_288,plain,
    ( inverse(identity) != identity
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))) )],[refute_0_286,refute_0_287]) ).

cnf(refute_0_289,plain,
    multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_288]) ).

cnf(refute_0_290,plain,
    ( multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20)))
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))))),bind(Y0,$fot(multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))))),bind(Z0,$fot(multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20)))))]]) ).

cnf(refute_0_291,plain,
    ( multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20)))
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20)))))) )],[refute_0_289,refute_0_290]) ).

cnf(refute_0_292,plain,
    multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20)))) )],[refute_0_285,refute_0_291]) ).

cnf(refute_0_293,plain,
    ( multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))) != double_divide(X_20,double_divide(inverse(X_21),X_20))
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20)))
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = double_divide(X_20,double_divide(inverse(X_21),X_20)) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))))),bind(Y0,$fot(multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))))),bind(Z0,$fot(double_divide(X_20,double_divide(inverse(X_21),X_20))))]]) ).

cnf(refute_0_294,plain,
    ( multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))) != double_divide(X_20,double_divide(inverse(X_21),X_20))
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = double_divide(X_20,double_divide(inverse(X_21),X_20)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20)))) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) = double_divide(X_20,double_divide(inverse(X_21),X_20)),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_20,double_divide(inverse(X_21),X_20))),double_divide(X_20,double_divide(inverse(X_21),X_20))) )],[refute_0_194,refute_0_294]) ).

cnf(refute_0_296,plain,
    ( multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != double_divide(X_20,double_divide(inverse(X_21),X_20))
    | multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != inverse(X_21)
    | double_divide(X_20,double_divide(inverse(X_21),X_20)) = inverse(X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),inverse(X_21)) ),[0],$fot(double_divide(X_20,double_divide(inverse(X_21),X_20)))]]) ).

cnf(refute_0_297,plain,
    ( multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))) != inverse(X_21)
    | double_divide(X_20,double_divide(inverse(X_21),X_20)) = inverse(X_21) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),double_divide(X_20,double_divide(inverse(X_21),X_20))) )],[refute_0_295,refute_0_296]) ).

cnf(refute_0_298,plain,
    double_divide(X_20,double_divide(inverse(X_21),X_20)) = inverse(X_21),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_20,double_divide(inverse(X_21),double_divide(identity,inverse(X_20))))),inverse(X_21)) )],[refute_0_193,refute_0_297]) ).

cnf(refute_0_299,plain,
    double_divide(X_32,double_divide(inverse(inverse(X_16)),X_32)) = inverse(inverse(X_16)),
    inference(subst,[],[refute_0_298:[bind(X_20,$fot(X_32)),bind(X_21,$fot(inverse(X_16)))]]) ).

cnf(refute_0_300,plain,
    ( double_divide(X_32,double_divide(inverse(inverse(X_16)),X_32)) != inverse(inverse(X_16))
    | inverse(inverse(X_16)) != X_16
    | double_divide(X_32,double_divide(X_16,X_32)) = inverse(inverse(X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_32,double_divide(inverse(inverse(X_16)),X_32)),inverse(inverse(X_16))) ),[0,1,0],$fot(X_16)]]) ).

cnf(refute_0_301,plain,
    ( double_divide(X_32,double_divide(inverse(inverse(X_16)),X_32)) != inverse(inverse(X_16))
    | double_divide(X_32,double_divide(X_16,X_32)) = inverse(inverse(X_16)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_152,refute_0_300]) ).

cnf(refute_0_302,plain,
    double_divide(X_32,double_divide(X_16,X_32)) = inverse(inverse(X_16)),
    inference(resolve,[$cnf( $equal(double_divide(X_32,double_divide(inverse(inverse(X_16)),X_32)),inverse(inverse(X_16))) )],[refute_0_299,refute_0_301]) ).

cnf(refute_0_303,plain,
    ( double_divide(X_32,double_divide(X_16,X_32)) != inverse(inverse(X_16))
    | inverse(inverse(X_16)) != X_16
    | double_divide(X_32,double_divide(X_16,X_32)) = X_16 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_32,double_divide(X_16,X_32)),X_16) ),[0],$fot(inverse(inverse(X_16)))]]) ).

cnf(refute_0_304,plain,
    ( double_divide(X_32,double_divide(X_16,X_32)) != inverse(inverse(X_16))
    | double_divide(X_32,double_divide(X_16,X_32)) = X_16 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_152,refute_0_303]) ).

cnf(refute_0_305,plain,
    double_divide(X_32,double_divide(X_16,X_32)) = X_16,
    inference(resolve,[$cnf( $equal(double_divide(X_32,double_divide(X_16,X_32)),inverse(inverse(X_16))) )],[refute_0_302,refute_0_304]) ).

cnf(refute_0_306,plain,
    double_divide(double_divide(X_34,X_16),double_divide(X_16,double_divide(X_34,X_16))) = X_16,
    inference(subst,[],[refute_0_305:[bind(X_32,$fot(double_divide(X_34,X_16)))]]) ).

cnf(refute_0_307,plain,
    double_divide(X_16,double_divide(X_34,X_16)) = X_34,
    inference(subst,[],[refute_0_305:[bind(X_16,$fot(X_34)),bind(X_32,$fot(X_16))]]) ).

cnf(refute_0_308,plain,
    ( double_divide(X_16,double_divide(X_34,X_16)) != X_34
    | double_divide(double_divide(X_34,X_16),double_divide(X_16,double_divide(X_34,X_16))) != X_16
    | double_divide(double_divide(X_34,X_16),X_34) = X_16 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_34,X_16),double_divide(X_16,double_divide(X_34,X_16))),X_16) ),[0,1],$fot(X_34)]]) ).

cnf(refute_0_309,plain,
    ( double_divide(double_divide(X_34,X_16),double_divide(X_16,double_divide(X_34,X_16))) != X_16
    | double_divide(double_divide(X_34,X_16),X_34) = X_16 ),
    inference(resolve,[$cnf( $equal(double_divide(X_16,double_divide(X_34,X_16)),X_34) )],[refute_0_307,refute_0_308]) ).

cnf(refute_0_310,plain,
    double_divide(double_divide(X_34,X_16),X_34) = X_16,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_34,X_16),double_divide(X_16,double_divide(X_34,X_16))),X_16) )],[refute_0_306,refute_0_309]) ).

cnf(refute_0_311,plain,
    double_divide(double_divide(X,X_36),X) = X_36,
    inference(subst,[],[refute_0_310:[bind(X_16,$fot(X_36)),bind(X_34,$fot(X))]]) ).

cnf(refute_0_312,plain,
    ( multiply(X,double_divide(X,X_36)) != inverse(double_divide(double_divide(X,X_36),X))
    | double_divide(double_divide(X,X_36),X) != X_36
    | multiply(X,double_divide(X,X_36)) = inverse(X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,double_divide(X,X_36)),inverse(double_divide(double_divide(X,X_36),X))) ),[1,0],$fot(X_36)]]) ).

cnf(refute_0_313,plain,
    ( multiply(X,double_divide(X,X_36)) != inverse(double_divide(double_divide(X,X_36),X))
    | multiply(X,double_divide(X,X_36)) = inverse(X_36) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_36),X),X_36) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    multiply(X,double_divide(X,X_36)) = inverse(X_36),
    inference(resolve,[$cnf( $equal(multiply(X,double_divide(X,X_36)),inverse(double_divide(double_divide(X,X_36),X))) )],[refute_0_165,refute_0_313]) ).

cnf(refute_0_315,plain,
    multiply(X,double_divide(X,double_divide(X,X_88))) = inverse(double_divide(X,X_88)),
    inference(subst,[],[refute_0_314:[bind(X_36,$fot(double_divide(X,X_88)))]]) ).

cnf(refute_0_316,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),
    inference(subst,[],[refute_0_47:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))))]]) ).

cnf(refute_0_317,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)) != Y
    | double_divide(double_divide(identity,double_divide(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) ),[0,0,1,0],$fot(Y)]]) ).

cnf(refute_0_318,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)),Y) )],[refute_0_23,refute_0_317]) ).

cnf(refute_0_319,plain,
    double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) )],[refute_0_316,refute_0_318]) ).

cnf(refute_0_320,plain,
    double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(Y))),
    inference(subst,[],[refute_0_199:[bind(X_14,$fot(Y))]]) ).

cnf(refute_0_321,plain,
    ( double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(Y)))
    | double_divide(identity,inverse(inverse(Y))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) ),[0],$fot(double_divide(identity,inverse(inverse(Y))))]]) ).

cnf(refute_0_322,plain,
    ( double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | double_divide(identity,inverse(inverse(Y))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(Y)))) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    double_divide(identity,inverse(inverse(Y))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(Y,inverse(identity))),inverse(identity)),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) )],[refute_0_319,refute_0_322]) ).

cnf(refute_0_324,plain,
    ( multiply(inverse(X_14),identity) != double_divide(identity,inverse(inverse(X_14)))
    | double_divide(identity,inverse(inverse(X_14))) = multiply(inverse(X_14),identity) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_14),identity))),bind(Y0,$fot(double_divide(identity,inverse(inverse(X_14)))))]]) ).

cnf(refute_0_325,plain,
    double_divide(identity,inverse(inverse(X_14))) = multiply(inverse(X_14),identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_233,refute_0_324]) ).

cnf(refute_0_326,plain,
    double_divide(identity,inverse(inverse(Y))) = multiply(inverse(Y),identity),
    inference(subst,[],[refute_0_325:[bind(X_14,$fot(Y))]]) ).

cnf(refute_0_327,plain,
    ( double_divide(identity,inverse(inverse(Y))) != multiply(inverse(Y),identity)
    | double_divide(identity,inverse(inverse(Y))) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | multiply(inverse(Y),identity) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(Y))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) ),[0],$fot(multiply(inverse(Y),identity))]]) ).

cnf(refute_0_328,plain,
    ( double_divide(identity,inverse(inverse(Y))) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | multiply(inverse(Y),identity) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(Y))),multiply(inverse(Y),identity)) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    multiply(inverse(Y),identity) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(Y))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) )],[refute_0_323,refute_0_328]) ).

cnf(refute_0_330,plain,
    multiply(inverse(Y),identity) = inverse(Y),
    inference(subst,[],[refute_0_256:[bind(X_14,$fot(inverse(Y)))]]) ).

cnf(refute_0_331,plain,
    ( multiply(inverse(Y),identity) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | multiply(inverse(Y),identity) != inverse(Y)
    | inverse(Y) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),identity),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) ),[0],$fot(inverse(Y))]]) ).

cnf(refute_0_332,plain,
    ( multiply(inverse(Y),identity) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | inverse(Y) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(Y),identity),inverse(Y)) )],[refute_0_330,refute_0_331]) ).

cnf(refute_0_333,plain,
    double_divide(identity,Z) = inverse(Z),
    inference(subst,[],[refute_0_269:[bind(X_14,$fot(Z))]]) ).

cnf(refute_0_334,plain,
    double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)) = double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))]]) ).

cnf(refute_0_335,plain,
    ( double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)) != double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))
    | double_divide(identity,Z) != inverse(Z)
    | double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)) = double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)),double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) ),[1,1],$fot(inverse(Z))]]) ).

cnf(refute_0_336,plain,
    ( double_divide(identity,Z) != inverse(Z)
    | double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)) = double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)),double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) )],[refute_0_334,refute_0_335]) ).

cnf(refute_0_337,plain,
    double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)) = double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)),
    inference(resolve,[$cnf( $equal(double_divide(identity,Z),inverse(Z)) )],[refute_0_333,refute_0_336]) ).

cnf(refute_0_338,plain,
    double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),
    introduced(tautology,[refl,[$fot(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))))]]) ).

cnf(refute_0_339,plain,
    ( double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)) != double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))
    | double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) ),[1,1],$fot(double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))]]) ).

cnf(refute_0_340,plain,
    ( double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)) != double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))
    | double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) ),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) )],[refute_0_338,refute_0_339]) ).

cnf(refute_0_341,plain,
    double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)),double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) )],[refute_0_337,refute_0_340]) ).

cnf(refute_0_342,plain,
    ( double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))
    | inverse(Y) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | inverse(Y) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(Y),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) ),[1],$fot(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))))]]) ).

cnf(refute_0_343,plain,
    ( inverse(Y) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | inverse(Y) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) ),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))) )],[refute_0_341,refute_0_342]) ).

cnf(refute_0_344,plain,
    ( multiply(inverse(Y),identity) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))
    | inverse(Y) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) ),
    inference(resolve,[$cnf( $equal(inverse(Y),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) )],[refute_0_332,refute_0_343]) ).

cnf(refute_0_345,plain,
    inverse(Y) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),
    inference(resolve,[$cnf( $equal(multiply(inverse(Y),identity),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z)))) )],[refute_0_329,refute_0_344]) ).

cnf(refute_0_346,plain,
    inverse(double_divide(Y,double_divide(X,Z))) = multiply(double_divide(X,Z),Y),
    inference(subst,[],[refute_0_57:[bind(X,$fot(double_divide(X,Z)))]]) ).

cnf(refute_0_347,plain,
    multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))) = multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))),
    introduced(tautology,[refl,[$fot(multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))))]]) ).

cnf(refute_0_348,plain,
    ( multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))) != multiply(Z,inverse(double_divide(Y,double_divide(X,Z))))
    | inverse(double_divide(Y,double_divide(X,Z))) != multiply(double_divide(X,Z),Y)
    | multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))) = multiply(Z,multiply(double_divide(X,Z),Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))),multiply(Z,inverse(double_divide(Y,double_divide(X,Z))))) ),[1,1],$fot(multiply(double_divide(X,Z),Y))]]) ).

cnf(refute_0_349,plain,
    ( inverse(double_divide(Y,double_divide(X,Z))) != multiply(double_divide(X,Z),Y)
    | multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))) = multiply(Z,multiply(double_divide(X,Z),Y)) ),
    inference(resolve,[$cnf( $equal(multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))),multiply(Z,inverse(double_divide(Y,double_divide(X,Z))))) )],[refute_0_347,refute_0_348]) ).

cnf(refute_0_350,plain,
    multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))) = multiply(Z,multiply(double_divide(X,Z),Y)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,double_divide(X,Z))),multiply(double_divide(X,Z),Y)) )],[refute_0_346,refute_0_349]) ).

cnf(refute_0_351,plain,
    multiply(X,inverse(X_51)) = inverse(double_divide(inverse(X_51),X)),
    inference(subst,[],[refute_0_8:[bind(Y,$fot(inverse(X_51)))]]) ).

cnf(refute_0_352,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) = Y,
    inference(subst,[],[refute_0_23:[bind(X,$fot(double_divide(identity,inverse(inverse(X_15))))),bind(Z,$fot(inverse(identity)))]]) ).

cnf(refute_0_353,plain,
    double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity)) = X_15,
    inference(subst,[],[refute_0_98:[bind(X_14,$fot(X_15))]]) ).

cnf(refute_0_354,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != Y
    | double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity)) != X_15
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),Y) ),[0,0,1,0,1],$fot(X_15)]]) ).

cnf(refute_0_355,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != Y
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = Y ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity)),X_15) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = Y,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),Y) )],[refute_0_352,refute_0_355]) ).

cnf(refute_0_357,plain,
    inverse(double_divide(Y,X_15)) = multiply(X_15,Y),
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_15))]]) ).

cnf(refute_0_358,plain,
    double_divide(double_divide(Y,X_15),identity) = inverse(double_divide(Y,X_15)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(Y,X_15)))]]) ).

cnf(refute_0_359,plain,
    ( double_divide(double_divide(Y,X_15),identity) != inverse(double_divide(Y,X_15))
    | inverse(double_divide(Y,X_15)) != multiply(X_15,Y)
    | double_divide(double_divide(Y,X_15),identity) = multiply(X_15,Y) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(Y,X_15),identity))),bind(Y0,$fot(inverse(double_divide(Y,X_15)))),bind(Z0,$fot(multiply(X_15,Y)))]]) ).

cnf(refute_0_360,plain,
    ( inverse(double_divide(Y,X_15)) != multiply(X_15,Y)
    | double_divide(double_divide(Y,X_15),identity) = multiply(X_15,Y) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),identity),inverse(double_divide(Y,X_15))) )],[refute_0_358,refute_0_359]) ).

cnf(refute_0_361,plain,
    double_divide(double_divide(Y,X_15),identity) = multiply(X_15,Y),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X_15)),multiply(X_15,Y)) )],[refute_0_357,refute_0_360]) ).

cnf(refute_0_362,plain,
    double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) = double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))))]]) ).

cnf(refute_0_363,plain,
    ( double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) != double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) = double_divide(double_divide(Y,X_15),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_364,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) = double_divide(double_divide(Y,X_15),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) = double_divide(double_divide(Y,X_15),identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_52,refute_0_364]) ).

cnf(refute_0_366,plain,
    ( double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) != double_divide(double_divide(Y,X_15),identity)
    | double_divide(double_divide(Y,X_15),identity) != multiply(X_15,Y)
    | double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) = multiply(X_15,Y) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))))),bind(Y0,$fot(double_divide(double_divide(Y,X_15),identity))),bind(Z0,$fot(multiply(X_15,Y)))]]) ).

cnf(refute_0_367,plain,
    ( double_divide(double_divide(Y,X_15),identity) != multiply(X_15,Y)
    | double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) = multiply(X_15,Y) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))),double_divide(double_divide(Y,X_15),identity)) )],[refute_0_365,refute_0_366]) ).

cnf(refute_0_368,plain,
    double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) = multiply(X_15,Y),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),identity),multiply(X_15,Y)) )],[refute_0_361,refute_0_367]) ).

cnf(refute_0_369,plain,
    double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))))]]) ).

cnf(refute_0_370,plain,
    ( double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) != multiply(X_15,Y)
    | double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) != double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))))
    | double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))))) ),[1,1],$fot(multiply(X_15,Y))]]) ).

cnf(refute_0_371,plain,
    ( double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))) != multiply(X_15,Y)
    | double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))))) )],[refute_0_369,refute_0_370]) ).

cnf(refute_0_372,plain,
    double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity))),multiply(X_15,Y)) )],[refute_0_368,refute_0_371]) ).

cnf(refute_0_373,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)))]]) ).

cnf(refute_0_374,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) != double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity))
    | double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) != double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity))) ),[1,0],$fot(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)))]]) ).

cnf(refute_0_375,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))) != double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))) )],[refute_0_372,refute_0_375]) ).

cnf(refute_0_377,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) != Y
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) != double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity))
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),Y) ),[0],$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)))]]) ).

cnf(refute_0_378,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) != Y
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = Y ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity))) )],[refute_0_376,refute_0_377]) ).

cnf(refute_0_379,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = Y,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(Y,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),Y) )],[refute_0_356,refute_0_378]) ).

cnf(refute_0_380,plain,
    inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))) = multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),
    inference(subst,[],[refute_0_57:[bind(X,$fot(multiply(X_15,Y))),bind(Y,$fot(double_divide(identity,inverse(inverse(X_15)))))]]) ).

cnf(refute_0_381,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) = inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))))]]) ).

cnf(refute_0_382,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) != inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)))
    | inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))) != multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) = multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity))),bind(Y0,$fot(inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))))),bind(Z0,$fot(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))))]]) ).

cnf(refute_0_383,plain,
    ( inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))) != multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) = multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity),inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)))) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) = multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y))),multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))) )],[refute_0_380,refute_0_383]) ).

cnf(refute_0_385,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)))]]) ).

cnf(refute_0_386,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) != double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_387,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity))) )],[refute_0_385,refute_0_386]) ).

cnf(refute_0_388,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_387]) ).

cnf(refute_0_389,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) != multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) != double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity)
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity))),bind(Z0,$fot(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))))]]) ).

cnf(refute_0_390,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity) != multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity)) )],[refute_0_388,refute_0_389]) ).

cnf(refute_0_391,plain,
    double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) = multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),identity),multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))) )],[refute_0_384,refute_0_390]) ).

cnf(refute_0_392,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) != Y
    | double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) != multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))
    | multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)),Y) ),[0],$fot(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))))]]) ).

cnf(refute_0_393,plain,
    ( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)) != Y
    | multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) = Y ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)),multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) = Y,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,Y)),inverse(identity)),Y) )],[refute_0_379,refute_0_393]) ).

cnf(refute_0_395,plain,
    double_divide(identity,inverse(inverse(X_15))) = multiply(inverse(X_15),identity),
    inference(subst,[],[refute_0_325:[bind(X_14,$fot(X_15))]]) ).

cnf(refute_0_396,plain,
    multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) = multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),
    introduced(tautology,[refl,[$fot(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))))]]) ).

cnf(refute_0_397,plain,
    ( multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) != multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))
    | double_divide(identity,inverse(inverse(X_15))) != multiply(inverse(X_15),identity)
    | multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) = multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))) ),[1,1],$fot(multiply(inverse(X_15),identity))]]) ).

cnf(refute_0_398,plain,
    ( double_divide(identity,inverse(inverse(X_15))) != multiply(inverse(X_15),identity)
    | multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) = multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15))))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) = multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_15))),multiply(inverse(X_15),identity)) )],[refute_0_395,refute_0_398]) ).

cnf(refute_0_400,plain,
    ( multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) != Y
    | multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) != multiply(multiply(X_15,Y),multiply(inverse(X_15),identity))
    | multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),Y) ),[0],$fot(multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)))]]) ).

cnf(refute_0_401,plain,
    ( multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))) != Y
    | multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) = Y ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),multiply(multiply(X_15,Y),multiply(inverse(X_15),identity))) )],[refute_0_399,refute_0_400]) ).

cnf(refute_0_402,plain,
    multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) = Y,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_15,Y),double_divide(identity,inverse(inverse(X_15)))),Y) )],[refute_0_394,refute_0_401]) ).

cnf(refute_0_403,plain,
    multiply(inverse(X_15),identity) = inverse(X_15),
    inference(subst,[],[refute_0_256:[bind(X_14,$fot(inverse(X_15)))]]) ).

cnf(refute_0_404,plain,
    multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) = multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)),
    introduced(tautology,[refl,[$fot(multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)))]]) ).

cnf(refute_0_405,plain,
    ( multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) != multiply(multiply(X_15,Y),multiply(inverse(X_15),identity))
    | multiply(inverse(X_15),identity) != inverse(X_15)
    | multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) = multiply(multiply(X_15,Y),inverse(X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)),multiply(multiply(X_15,Y),multiply(inverse(X_15),identity))) ),[1,1],$fot(inverse(X_15))]]) ).

cnf(refute_0_406,plain,
    ( multiply(inverse(X_15),identity) != inverse(X_15)
    | multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) = multiply(multiply(X_15,Y),inverse(X_15)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)),multiply(multiply(X_15,Y),multiply(inverse(X_15),identity))) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) = multiply(multiply(X_15,Y),inverse(X_15)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_15),identity),inverse(X_15)) )],[refute_0_403,refute_0_406]) ).

cnf(refute_0_408,plain,
    ( multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) != Y
    | multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) != multiply(multiply(X_15,Y),inverse(X_15))
    | multiply(multiply(X_15,Y),inverse(X_15)) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)),Y) ),[0],$fot(multiply(multiply(X_15,Y),inverse(X_15)))]]) ).

cnf(refute_0_409,plain,
    ( multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)) != Y
    | multiply(multiply(X_15,Y),inverse(X_15)) = Y ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)),multiply(multiply(X_15,Y),inverse(X_15))) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    multiply(multiply(X_15,Y),inverse(X_15)) = Y,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_15,Y),multiply(inverse(X_15),identity)),Y) )],[refute_0_402,refute_0_409]) ).

cnf(refute_0_411,plain,
    multiply(multiply(inverse(X_16),X_46),inverse(inverse(X_16))) = X_46,
    inference(subst,[],[refute_0_410:[bind(Y,$fot(X_46)),bind(X_15,$fot(inverse(X_16)))]]) ).

cnf(refute_0_412,plain,
    ( multiply(multiply(inverse(X_16),X_46),inverse(inverse(X_16))) != X_46
    | inverse(inverse(X_16)) != X_16
    | multiply(multiply(inverse(X_16),X_46),X_16) = X_46 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_16),X_46),inverse(inverse(X_16))),X_46) ),[0,1],$fot(X_16)]]) ).

cnf(refute_0_413,plain,
    ( multiply(multiply(inverse(X_16),X_46),inverse(inverse(X_16))) != X_46
    | multiply(multiply(inverse(X_16),X_46),X_16) = X_46 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_152,refute_0_412]) ).

cnf(refute_0_414,plain,
    multiply(multiply(inverse(X_16),X_46),X_16) = X_46,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_16),X_46),inverse(inverse(X_16))),X_46) )],[refute_0_411,refute_0_413]) ).

cnf(refute_0_415,plain,
    multiply(multiply(inverse(X_48),double_divide(inverse(X_48),X_36)),X_48) = double_divide(inverse(X_48),X_36),
    inference(subst,[],[refute_0_414:[bind(X_16,$fot(X_48)),bind(X_46,$fot(double_divide(inverse(X_48),X_36)))]]) ).

cnf(refute_0_416,plain,
    multiply(inverse(X_48),double_divide(inverse(X_48),X_36)) = inverse(X_36),
    inference(subst,[],[refute_0_314:[bind(X,$fot(inverse(X_48)))]]) ).

cnf(refute_0_417,plain,
    ( multiply(multiply(inverse(X_48),double_divide(inverse(X_48),X_36)),X_48) != double_divide(inverse(X_48),X_36)
    | multiply(inverse(X_48),double_divide(inverse(X_48),X_36)) != inverse(X_36)
    | multiply(inverse(X_36),X_48) = double_divide(inverse(X_48),X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_48),double_divide(inverse(X_48),X_36)),X_48),double_divide(inverse(X_48),X_36)) ),[0,0],$fot(inverse(X_36))]]) ).

cnf(refute_0_418,plain,
    ( multiply(multiply(inverse(X_48),double_divide(inverse(X_48),X_36)),X_48) != double_divide(inverse(X_48),X_36)
    | multiply(inverse(X_36),X_48) = double_divide(inverse(X_48),X_36) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_48),double_divide(inverse(X_48),X_36)),inverse(X_36)) )],[refute_0_416,refute_0_417]) ).

cnf(refute_0_419,plain,
    multiply(inverse(X_36),X_48) = double_divide(inverse(X_48),X_36),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_48),double_divide(inverse(X_48),X_36)),X_48),double_divide(inverse(X_48),X_36)) )],[refute_0_415,refute_0_418]) ).

cnf(refute_0_420,plain,
    multiply(inverse(X),X_51) = double_divide(inverse(X_51),X),
    inference(subst,[],[refute_0_419:[bind(X_36,$fot(X)),bind(X_48,$fot(X_51))]]) ).

cnf(refute_0_421,plain,
    ( multiply(inverse(X),X_51) != double_divide(inverse(X_51),X)
    | double_divide(inverse(X_51),X) = multiply(inverse(X),X_51) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X),X_51))),bind(Y0,$fot(double_divide(inverse(X_51),X)))]]) ).

cnf(refute_0_422,plain,
    double_divide(inverse(X_51),X) = multiply(inverse(X),X_51),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),X_51),double_divide(inverse(X_51),X)) )],[refute_0_420,refute_0_421]) ).

cnf(refute_0_423,plain,
    ( multiply(X,inverse(X_51)) != inverse(double_divide(inverse(X_51),X))
    | double_divide(inverse(X_51),X) != multiply(inverse(X),X_51)
    | multiply(X,inverse(X_51)) = inverse(multiply(inverse(X),X_51)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(X_51)),inverse(double_divide(inverse(X_51),X))) ),[1,0],$fot(multiply(inverse(X),X_51))]]) ).

cnf(refute_0_424,plain,
    ( multiply(X,inverse(X_51)) != inverse(double_divide(inverse(X_51),X))
    | multiply(X,inverse(X_51)) = inverse(multiply(inverse(X),X_51)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_51),X),multiply(inverse(X),X_51)) )],[refute_0_422,refute_0_423]) ).

cnf(refute_0_425,plain,
    multiply(X,inverse(X_51)) = inverse(multiply(inverse(X),X_51)),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(X_51)),inverse(double_divide(inverse(X_51),X))) )],[refute_0_351,refute_0_424]) ).

cnf(refute_0_426,plain,
    double_divide(double_divide(identity,inverse(inverse(double_divide(Y,X)))),inverse(identity)) = double_divide(Y,X),
    inference(subst,[],[refute_0_98:[bind(X_14,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_427,plain,
    ( double_divide(double_divide(identity,inverse(inverse(double_divide(Y,X)))),inverse(identity)) != double_divide(Y,X)
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = double_divide(Y,X) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(double_divide(Y,X)))),inverse(identity)),double_divide(Y,X)) ),[0,0,1,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_428,plain,
    ( double_divide(double_divide(identity,inverse(inverse(double_divide(Y,X)))),inverse(identity)) != double_divide(Y,X)
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = double_divide(Y,X) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_57,refute_0_427]) ).

cnf(refute_0_429,plain,
    double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = double_divide(Y,X),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(double_divide(Y,X)))),inverse(identity)),double_divide(Y,X)) )],[refute_0_426,refute_0_428]) ).

cnf(refute_0_430,plain,
    inverse(double_divide(identity,inverse(multiply(X,Y)))) = multiply(inverse(multiply(X,Y)),identity),
    inference(subst,[],[refute_0_57:[bind(X,$fot(inverse(multiply(X,Y)))),bind(Y,$fot(identity))]]) ).

cnf(refute_0_431,plain,
    double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) = inverse(double_divide(identity,inverse(multiply(X,Y)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,inverse(multiply(X,Y)))))]]) ).

cnf(refute_0_432,plain,
    ( double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) != inverse(double_divide(identity,inverse(multiply(X,Y))))
    | inverse(double_divide(identity,inverse(multiply(X,Y)))) != multiply(inverse(multiply(X,Y)),identity)
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) = multiply(inverse(multiply(X,Y)),identity) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(identity,inverse(multiply(X,Y))),identity))),bind(Y0,$fot(inverse(double_divide(identity,inverse(multiply(X,Y)))))),bind(Z0,$fot(multiply(inverse(multiply(X,Y)),identity)))]]) ).

cnf(refute_0_433,plain,
    ( inverse(double_divide(identity,inverse(multiply(X,Y)))) != multiply(inverse(multiply(X,Y)),identity)
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) = multiply(inverse(multiply(X,Y)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X,Y))),identity),inverse(double_divide(identity,inverse(multiply(X,Y))))) )],[refute_0_431,refute_0_432]) ).

cnf(refute_0_434,plain,
    double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) = multiply(inverse(multiply(X,Y)),identity),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(multiply(X,Y)))),multiply(inverse(multiply(X,Y)),identity)) )],[refute_0_430,refute_0_433]) ).

cnf(refute_0_435,plain,
    double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)))]]) ).

cnf(refute_0_436,plain,
    ( double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) != double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)),double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_437,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)),double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity))) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = double_divide(double_divide(identity,inverse(multiply(X,Y))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_437]) ).

cnf(refute_0_439,plain,
    ( double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) != multiply(inverse(multiply(X,Y)),identity)
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) != double_divide(double_divide(identity,inverse(multiply(X,Y))),identity)
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = multiply(inverse(multiply(X,Y)),identity) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,inverse(multiply(X,Y))),identity))),bind(Z0,$fot(multiply(inverse(multiply(X,Y)),identity)))]]) ).

cnf(refute_0_440,plain,
    ( double_divide(double_divide(identity,inverse(multiply(X,Y))),identity) != multiply(inverse(multiply(X,Y)),identity)
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = multiply(inverse(multiply(X,Y)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)),double_divide(double_divide(identity,inverse(multiply(X,Y))),identity)) )],[refute_0_438,refute_0_439]) ).

cnf(refute_0_441,plain,
    double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) = multiply(inverse(multiply(X,Y)),identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X,Y))),identity),multiply(inverse(multiply(X,Y)),identity)) )],[refute_0_434,refute_0_440]) ).

cnf(refute_0_442,plain,
    ( double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) != multiply(inverse(multiply(X,Y)),identity)
    | double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) != double_divide(Y,X)
    | multiply(inverse(multiply(X,Y)),identity) = double_divide(Y,X) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)),double_divide(Y,X)) ),[0],$fot(multiply(inverse(multiply(X,Y)),identity))]]) ).

cnf(refute_0_443,plain,
    ( double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)) != double_divide(Y,X)
    | multiply(inverse(multiply(X,Y)),identity) = double_divide(Y,X) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)),multiply(inverse(multiply(X,Y)),identity)) )],[refute_0_441,refute_0_442]) ).

cnf(refute_0_444,plain,
    multiply(inverse(multiply(X,Y)),identity) = double_divide(Y,X),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X,Y))),inverse(identity)),double_divide(Y,X)) )],[refute_0_429,refute_0_443]) ).

cnf(refute_0_445,plain,
    multiply(inverse(multiply(X,Y)),identity) = inverse(multiply(X,Y)),
    inference(subst,[],[refute_0_256:[bind(X_14,$fot(inverse(multiply(X,Y))))]]) ).

cnf(refute_0_446,plain,
    ( multiply(inverse(multiply(X,Y)),identity) != double_divide(Y,X)
    | multiply(inverse(multiply(X,Y)),identity) != inverse(multiply(X,Y))
    | inverse(multiply(X,Y)) = double_divide(Y,X) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X,Y)),identity),double_divide(Y,X)) ),[0],$fot(inverse(multiply(X,Y)))]]) ).

cnf(refute_0_447,plain,
    ( multiply(inverse(multiply(X,Y)),identity) != double_divide(Y,X)
    | inverse(multiply(X,Y)) = double_divide(Y,X) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,Y)),identity),inverse(multiply(X,Y))) )],[refute_0_445,refute_0_446]) ).

cnf(refute_0_448,plain,
    inverse(multiply(X,Y)) = double_divide(Y,X),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,Y)),identity),double_divide(Y,X)) )],[refute_0_444,refute_0_447]) ).

cnf(refute_0_449,plain,
    inverse(multiply(inverse(X),X_51)) = double_divide(X_51,inverse(X)),
    inference(subst,[],[refute_0_448:[bind(X,$fot(inverse(X))),bind(Y,$fot(X_51))]]) ).

cnf(refute_0_450,plain,
    ( multiply(X,inverse(X_51)) != inverse(multiply(inverse(X),X_51))
    | inverse(multiply(inverse(X),X_51)) != double_divide(X_51,inverse(X))
    | multiply(X,inverse(X_51)) = double_divide(X_51,inverse(X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,inverse(X_51)),double_divide(X_51,inverse(X))) ),[0],$fot(inverse(multiply(inverse(X),X_51)))]]) ).

cnf(refute_0_451,plain,
    ( multiply(X,inverse(X_51)) != inverse(multiply(inverse(X),X_51))
    | multiply(X,inverse(X_51)) = double_divide(X_51,inverse(X)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),X_51)),double_divide(X_51,inverse(X))) )],[refute_0_449,refute_0_450]) ).

cnf(refute_0_452,plain,
    multiply(X,inverse(X_51)) = double_divide(X_51,inverse(X)),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(X_51)),inverse(multiply(inverse(X),X_51))) )],[refute_0_425,refute_0_451]) ).

cnf(refute_0_453,plain,
    ( multiply(X,inverse(X_51)) != double_divide(X_51,inverse(X))
    | double_divide(X_51,inverse(X)) = multiply(X,inverse(X_51)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,inverse(X_51)))),bind(Y0,$fot(double_divide(X_51,inverse(X))))]]) ).

cnf(refute_0_454,plain,
    double_divide(X_51,inverse(X)) = multiply(X,inverse(X_51)),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(X_51)),double_divide(X_51,inverse(X))) )],[refute_0_452,refute_0_453]) ).

cnf(refute_0_455,plain,
    double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) = multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))),
    inference(subst,[],[refute_0_454:[bind(X,$fot(Z)),bind(X_51,$fot(double_divide(Y,double_divide(X,Z))))]]) ).

cnf(refute_0_456,plain,
    ( multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))) != multiply(Z,multiply(double_divide(X,Z),Y))
    | double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) != multiply(Z,inverse(double_divide(Y,double_divide(X,Z))))
    | double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) = multiply(Z,multiply(double_divide(X,Z),Y)) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))),bind(Y0,$fot(multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))))),bind(Z0,$fot(multiply(Z,multiply(double_divide(X,Z),Y))))]]) ).

cnf(refute_0_457,plain,
    ( multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))) != multiply(Z,multiply(double_divide(X,Z),Y))
    | double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) = multiply(Z,multiply(double_divide(X,Z),Y)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)),multiply(Z,inverse(double_divide(Y,double_divide(X,Z))))) )],[refute_0_455,refute_0_456]) ).

cnf(refute_0_458,plain,
    double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) = multiply(Z,multiply(double_divide(X,Z),Y)),
    inference(resolve,[$cnf( $equal(multiply(Z,inverse(double_divide(Y,double_divide(X,Z)))),multiply(Z,multiply(double_divide(X,Z),Y))) )],[refute_0_350,refute_0_457]) ).

cnf(refute_0_459,plain,
    double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),
    introduced(tautology,[refl,[$fot(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))))]]) ).

cnf(refute_0_460,plain,
    ( double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))
    | double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) != multiply(Z,multiply(double_divide(X,Z),Y))
    | double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) = double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))) ),[1,1],$fot(multiply(Z,multiply(double_divide(X,Z),Y)))]]) ).

cnf(refute_0_461,plain,
    ( double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) != multiply(Z,multiply(double_divide(X,Z),Y))
    | double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) = double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y))) ),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))) )],[refute_0_459,refute_0_460]) ).

cnf(refute_0_462,plain,
    double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) = double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)),multiply(Z,multiply(double_divide(X,Z),Y))) )],[refute_0_458,refute_0_461]) ).

cnf(refute_0_463,plain,
    ( double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) != double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y)))
    | inverse(Y) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))
    | inverse(Y) = double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(Y),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))) ),[1],$fot(double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y))))]]) ).

cnf(refute_0_464,plain,
    ( inverse(Y) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))
    | inverse(Y) = double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y))) ),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y)))) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    inverse(Y) = double_divide(X,multiply(Z,multiply(double_divide(X,Z),Y))),
    inference(resolve,[$cnf( $equal(inverse(Y),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))) )],[refute_0_345,refute_0_464]) ).

cnf(refute_0_466,plain,
    inverse(inverse(X_86)) = double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),inverse(X_86)))),
    inference(subst,[],[refute_0_465:[bind(X,$fot(X_84)),bind(Y,$fot(inverse(X_86))),bind(Z,$fot(X_86))]]) ).

cnf(refute_0_467,plain,
    double_divide(double_divide(inverse(X_51),X_16),inverse(X_51)) = X_16,
    inference(subst,[],[refute_0_310:[bind(X_34,$fot(inverse(X_51)))]]) ).

cnf(refute_0_468,plain,
    multiply(inverse(X_16),X_51) = double_divide(inverse(X_51),X_16),
    inference(subst,[],[refute_0_419:[bind(X_36,$fot(X_16)),bind(X_48,$fot(X_51))]]) ).

cnf(refute_0_469,plain,
    ( multiply(inverse(X_16),X_51) != double_divide(inverse(X_51),X_16)
    | double_divide(inverse(X_51),X_16) = multiply(inverse(X_16),X_51) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_16),X_51))),bind(Y0,$fot(double_divide(inverse(X_51),X_16)))]]) ).

cnf(refute_0_470,plain,
    double_divide(inverse(X_51),X_16) = multiply(inverse(X_16),X_51),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_16),X_51),double_divide(inverse(X_51),X_16)) )],[refute_0_468,refute_0_469]) ).

cnf(refute_0_471,plain,
    ( double_divide(double_divide(inverse(X_51),X_16),inverse(X_51)) != X_16
    | double_divide(inverse(X_51),X_16) != multiply(inverse(X_16),X_51)
    | double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) = X_16 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_51),X_16),inverse(X_51)),X_16) ),[0,0],$fot(multiply(inverse(X_16),X_51))]]) ).

cnf(refute_0_472,plain,
    ( double_divide(double_divide(inverse(X_51),X_16),inverse(X_51)) != X_16
    | double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) = X_16 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_51),X_16),multiply(inverse(X_16),X_51)) )],[refute_0_470,refute_0_471]) ).

cnf(refute_0_473,plain,
    double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) = X_16,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_51),X_16),inverse(X_51)),X_16) )],[refute_0_467,refute_0_472]) ).

cnf(refute_0_474,plain,
    double_divide(X_51,inverse(X_16)) = multiply(X_16,inverse(X_51)),
    inference(subst,[],[refute_0_454:[bind(X,$fot(X_16))]]) ).

cnf(refute_0_475,plain,
    inverse(multiply(inverse(X_16),X_51)) = double_divide(X_51,inverse(X_16)),
    inference(subst,[],[refute_0_448:[bind(X,$fot(inverse(X_16))),bind(Y,$fot(X_51))]]) ).

cnf(refute_0_476,plain,
    ( double_divide(X_51,inverse(X_16)) != multiply(X_16,inverse(X_51))
    | inverse(multiply(inverse(X_16),X_51)) != double_divide(X_51,inverse(X_16))
    | inverse(multiply(inverse(X_16),X_51)) = multiply(X_16,inverse(X_51)) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(inverse(multiply(inverse(X_16),X_51)))),bind(Y0,$fot(double_divide(X_51,inverse(X_16)))),bind(Z0,$fot(multiply(X_16,inverse(X_51))))]]) ).

cnf(refute_0_477,plain,
    ( double_divide(X_51,inverse(X_16)) != multiply(X_16,inverse(X_51))
    | inverse(multiply(inverse(X_16),X_51)) = multiply(X_16,inverse(X_51)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_16),X_51)),double_divide(X_51,inverse(X_16))) )],[refute_0_475,refute_0_476]) ).

cnf(refute_0_478,plain,
    inverse(multiply(inverse(X_16),X_51)) = multiply(X_16,inverse(X_51)),
    inference(resolve,[$cnf( $equal(double_divide(X_51,inverse(X_16)),multiply(X_16,inverse(X_51))) )],[refute_0_474,refute_0_477]) ).

cnf(refute_0_479,plain,
    multiply(X_51,inverse(multiply(inverse(X_16),X_51))) = multiply(X_51,inverse(multiply(inverse(X_16),X_51))),
    introduced(tautology,[refl,[$fot(multiply(X_51,inverse(multiply(inverse(X_16),X_51))))]]) ).

cnf(refute_0_480,plain,
    ( multiply(X_51,inverse(multiply(inverse(X_16),X_51))) != multiply(X_51,inverse(multiply(inverse(X_16),X_51)))
    | inverse(multiply(inverse(X_16),X_51)) != multiply(X_16,inverse(X_51))
    | multiply(X_51,inverse(multiply(inverse(X_16),X_51))) = multiply(X_51,multiply(X_16,inverse(X_51))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_51,inverse(multiply(inverse(X_16),X_51))),multiply(X_51,inverse(multiply(inverse(X_16),X_51)))) ),[1,1],$fot(multiply(X_16,inverse(X_51)))]]) ).

cnf(refute_0_481,plain,
    ( inverse(multiply(inverse(X_16),X_51)) != multiply(X_16,inverse(X_51))
    | multiply(X_51,inverse(multiply(inverse(X_16),X_51))) = multiply(X_51,multiply(X_16,inverse(X_51))) ),
    inference(resolve,[$cnf( $equal(multiply(X_51,inverse(multiply(inverse(X_16),X_51))),multiply(X_51,inverse(multiply(inverse(X_16),X_51)))) )],[refute_0_479,refute_0_480]) ).

cnf(refute_0_482,plain,
    multiply(X_51,inverse(multiply(inverse(X_16),X_51))) = multiply(X_51,multiply(X_16,inverse(X_51))),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_16),X_51)),multiply(X_16,inverse(X_51))) )],[refute_0_478,refute_0_481]) ).

cnf(refute_0_483,plain,
    double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) = multiply(X_51,inverse(multiply(inverse(X_16),X_51))),
    inference(subst,[],[refute_0_454:[bind(X,$fot(X_51)),bind(X_51,$fot(multiply(inverse(X_16),X_51)))]]) ).

cnf(refute_0_484,plain,
    ( multiply(X_51,inverse(multiply(inverse(X_16),X_51))) != multiply(X_51,multiply(X_16,inverse(X_51)))
    | double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) != multiply(X_51,inverse(multiply(inverse(X_16),X_51)))
    | double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) = multiply(X_51,multiply(X_16,inverse(X_51))) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(multiply(inverse(X_16),X_51),inverse(X_51)))),bind(Y0,$fot(multiply(X_51,inverse(multiply(inverse(X_16),X_51))))),bind(Z0,$fot(multiply(X_51,multiply(X_16,inverse(X_51)))))]]) ).

cnf(refute_0_485,plain,
    ( multiply(X_51,inverse(multiply(inverse(X_16),X_51))) != multiply(X_51,multiply(X_16,inverse(X_51)))
    | double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) = multiply(X_51,multiply(X_16,inverse(X_51))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_51),inverse(X_51)),multiply(X_51,inverse(multiply(inverse(X_16),X_51)))) )],[refute_0_483,refute_0_484]) ).

cnf(refute_0_486,plain,
    double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) = multiply(X_51,multiply(X_16,inverse(X_51))),
    inference(resolve,[$cnf( $equal(multiply(X_51,inverse(multiply(inverse(X_16),X_51))),multiply(X_51,multiply(X_16,inverse(X_51)))) )],[refute_0_482,refute_0_485]) ).

cnf(refute_0_487,plain,
    ( double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) != X_16
    | double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) != multiply(X_51,multiply(X_16,inverse(X_51)))
    | multiply(X_51,multiply(X_16,inverse(X_51))) = X_16 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_51),inverse(X_51)),X_16) ),[0],$fot(multiply(X_51,multiply(X_16,inverse(X_51))))]]) ).

cnf(refute_0_488,plain,
    ( double_divide(multiply(inverse(X_16),X_51),inverse(X_51)) != X_16
    | multiply(X_51,multiply(X_16,inverse(X_51))) = X_16 ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_51),inverse(X_51)),multiply(X_51,multiply(X_16,inverse(X_51)))) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    multiply(X_51,multiply(X_16,inverse(X_51))) = X_16,
    inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_51),inverse(X_51)),X_16) )],[refute_0_473,refute_0_488]) ).

cnf(refute_0_490,plain,
    multiply(X_86,multiply(double_divide(X_84,X_86),inverse(X_86))) = double_divide(X_84,X_86),
    inference(subst,[],[refute_0_489:[bind(X_16,$fot(double_divide(X_84,X_86))),bind(X_51,$fot(X_86))]]) ).

cnf(refute_0_491,plain,
    ( multiply(X_86,multiply(double_divide(X_84,X_86),inverse(X_86))) != double_divide(X_84,X_86)
    | inverse(inverse(X_86)) != double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),inverse(X_86))))
    | inverse(inverse(X_86)) = double_divide(X_84,double_divide(X_84,X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_86)),double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),inverse(X_86))))) ),[1,1],$fot(double_divide(X_84,X_86))]]) ).

cnf(refute_0_492,plain,
    ( inverse(inverse(X_86)) != double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),inverse(X_86))))
    | inverse(inverse(X_86)) = double_divide(X_84,double_divide(X_84,X_86)) ),
    inference(resolve,[$cnf( $equal(multiply(X_86,multiply(double_divide(X_84,X_86),inverse(X_86))),double_divide(X_84,X_86)) )],[refute_0_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    inverse(inverse(X_86)) = double_divide(X_84,double_divide(X_84,X_86)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_86)),double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),inverse(X_86))))) )],[refute_0_466,refute_0_492]) ).

cnf(refute_0_494,plain,
    inverse(inverse(X_86)) = X_86,
    inference(subst,[],[refute_0_152:[bind(X_16,$fot(X_86))]]) ).

cnf(refute_0_495,plain,
    ( inverse(inverse(X_86)) != X_86
    | inverse(inverse(X_86)) != double_divide(X_84,double_divide(X_84,X_86))
    | X_86 = double_divide(X_84,double_divide(X_84,X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_86)),double_divide(X_84,double_divide(X_84,X_86))) ),[0],$fot(X_86)]]) ).

cnf(refute_0_496,plain,
    ( inverse(inverse(X_86)) != double_divide(X_84,double_divide(X_84,X_86))
    | X_86 = double_divide(X_84,double_divide(X_84,X_86)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_86)),X_86) )],[refute_0_494,refute_0_495]) ).

cnf(refute_0_497,plain,
    X_86 = double_divide(X_84,double_divide(X_84,X_86)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_86)),double_divide(X_84,double_divide(X_84,X_86))) )],[refute_0_493,refute_0_496]) ).

cnf(refute_0_498,plain,
    X_88 = double_divide(X,double_divide(X,X_88)),
    inference(subst,[],[refute_0_497:[bind(X_84,$fot(X)),bind(X_86,$fot(X_88))]]) ).

cnf(refute_0_499,plain,
    ( X_88 != double_divide(X,double_divide(X,X_88))
    | double_divide(X,double_divide(X,X_88)) = X_88 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(X_88)),bind(Y0,$fot(double_divide(X,double_divide(X,X_88))))]]) ).

cnf(refute_0_500,plain,
    double_divide(X,double_divide(X,X_88)) = X_88,
    inference(resolve,[$cnf( $equal(X_88,double_divide(X,double_divide(X,X_88))) )],[refute_0_498,refute_0_499]) ).

cnf(refute_0_501,plain,
    ( multiply(X,double_divide(X,double_divide(X,X_88))) != inverse(double_divide(X,X_88))
    | double_divide(X,double_divide(X,X_88)) != X_88
    | multiply(X,X_88) = inverse(double_divide(X,X_88)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,double_divide(X,double_divide(X,X_88))),inverse(double_divide(X,X_88))) ),[0,1],$fot(X_88)]]) ).

cnf(refute_0_502,plain,
    ( multiply(X,double_divide(X,double_divide(X,X_88))) != inverse(double_divide(X,X_88))
    | multiply(X,X_88) = inverse(double_divide(X,X_88)) ),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(X,X_88)),X_88) )],[refute_0_500,refute_0_501]) ).

cnf(refute_0_503,plain,
    multiply(X,X_88) = inverse(double_divide(X,X_88)),
    inference(resolve,[$cnf( $equal(multiply(X,double_divide(X,double_divide(X,X_88))),inverse(double_divide(X,X_88))) )],[refute_0_315,refute_0_502]) ).

cnf(refute_0_504,plain,
    inverse(double_divide(X,X_88)) = multiply(X_88,X),
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_88)),bind(Y,$fot(X))]]) ).

cnf(refute_0_505,plain,
    ( multiply(X,X_88) != inverse(double_divide(X,X_88))
    | inverse(double_divide(X,X_88)) != multiply(X_88,X)
    | multiply(X,X_88) = multiply(X_88,X) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,X_88),multiply(X_88,X)) ),[0],$fot(inverse(double_divide(X,X_88)))]]) ).

cnf(refute_0_506,plain,
    ( multiply(X,X_88) != inverse(double_divide(X,X_88))
    | multiply(X,X_88) = multiply(X_88,X) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X,X_88)),multiply(X_88,X)) )],[refute_0_504,refute_0_505]) ).

cnf(refute_0_507,plain,
    multiply(X,X_88) = multiply(X_88,X),
    inference(resolve,[$cnf( $equal(multiply(X,X_88),inverse(double_divide(X,X_88))) )],[refute_0_503,refute_0_506]) ).

cnf(refute_0_508,plain,
    ( multiply(X,X_88) != multiply(X_88,X)
    | multiply(X_88,X) = multiply(X,X_88) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,X_88))),bind(Y0,$fot(multiply(X_88,X)))]]) ).

cnf(refute_0_509,plain,
    multiply(X_88,X) = multiply(X,X_88),
    inference(resolve,[$cnf( $equal(multiply(X,X_88),multiply(X_88,X)) )],[refute_0_507,refute_0_508]) ).

cnf(refute_0_510,plain,
    multiply(b4,a4) = multiply(a4,b4),
    inference(subst,[],[refute_0_509:[bind(X,$fot(a4)),bind(X_88,$fot(b4))]]) ).

cnf(refute_0_511,plain,
    ( multiply(a4,b4) != multiply(a4,b4)
    | multiply(b4,a4) != multiply(a4,b4)
    | multiply(a4,b4) = multiply(b4,a4) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).

cnf(refute_0_512,plain,
    ( multiply(a4,b4) != multiply(a4,b4)
    | multiply(a4,b4) = multiply(b4,a4) ),
    inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_510,refute_0_511]) ).

cnf(refute_0_513,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(a4,b4) ),
    inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_512,refute_0_164]) ).

cnf(refute_0_514,plain,
    multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
    inference(subst,[],[refute_0_509:[bind(X,$fot(c3)),bind(X_88,$fot(multiply(a3,b3)))]]) ).

cnf(refute_0_515,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
    | multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
    | multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).

cnf(refute_0_516,plain,
    ( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
    | multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_514,refute_0_515]) ).

cnf(refute_0_517,plain,
    ( multiply(a4,b4) != multiply(a4,b4)
    | multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_516,refute_0_513]) ).

cnf(refute_0_518,plain,
    multiply(a4,b4) = multiply(a4,b4),
    introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).

cnf(refute_0_519,plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_518,refute_0_517]) ).

cnf(refute_0_520,plain,
    multiply(multiply(double_divide(Y,X),X_46),inverse(double_divide(Y,X))) = X_46,
    inference(subst,[],[refute_0_410:[bind(Y,$fot(X_46)),bind(X_15,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_521,plain,
    ( multiply(multiply(double_divide(Y,X),X_46),inverse(double_divide(Y,X))) != X_46
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)) = X_46 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(Y,X),X_46),inverse(double_divide(Y,X))),X_46) ),[0,1],$fot(multiply(X,Y))]]) ).

cnf(refute_0_522,plain,
    ( multiply(multiply(double_divide(Y,X),X_46),inverse(double_divide(Y,X))) != X_46
    | multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)) = X_46 ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_57,refute_0_521]) ).

cnf(refute_0_523,plain,
    multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)) = X_46,
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(Y,X),X_46),inverse(double_divide(Y,X))),X_46) )],[refute_0_520,refute_0_522]) ).

cnf(refute_0_524,plain,
    multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)) = multiply(multiply(X,Y),multiply(double_divide(Y,X),X_46)),
    inference(subst,[],[refute_0_509:[bind(X,$fot(multiply(X,Y))),bind(X_88,$fot(multiply(double_divide(Y,X),X_46)))]]) ).

cnf(refute_0_525,plain,
    ( multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)) != X_46
    | multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)) != multiply(multiply(X,Y),multiply(double_divide(Y,X),X_46))
    | multiply(multiply(X,Y),multiply(double_divide(Y,X),X_46)) = X_46 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)),X_46) ),[0],$fot(multiply(multiply(X,Y),multiply(double_divide(Y,X),X_46)))]]) ).

cnf(refute_0_526,plain,
    ( multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)) != X_46
    | multiply(multiply(X,Y),multiply(double_divide(Y,X),X_46)) = X_46 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)),multiply(multiply(X,Y),multiply(double_divide(Y,X),X_46))) )],[refute_0_524,refute_0_525]) ).

cnf(refute_0_527,plain,
    multiply(multiply(X,Y),multiply(double_divide(Y,X),X_46)) = X_46,
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(Y,X),X_46),multiply(X,Y)),X_46) )],[refute_0_523,refute_0_526]) ).

cnf(refute_0_528,plain,
    multiply(multiply(X_108,X_109),multiply(double_divide(X_109,X_108),X_110)) = X_110,
    inference(subst,[],[refute_0_527:[bind(X,$fot(X_108)),bind(Y,$fot(X_109)),bind(X_46,$fot(X_110))]]) ).

cnf(refute_0_529,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
    inference(subst,[],[refute_0_47:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))))]]) ).

cnf(refute_0_530,plain,
    ( double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) != X_11
    | double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[0,0,1,0],$fot(X_11)]]) ).

cnf(refute_0_531,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),X_11) )],[refute_0_75,refute_0_530]) ).

cnf(refute_0_532,plain,
    double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_529,refute_0_531]) ).

cnf(refute_0_533,plain,
    double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_11))),
    inference(subst,[],[refute_0_199:[bind(X_14,$fot(X_11))]]) ).

cnf(refute_0_534,plain,
    ( double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_11)))
    | double_divide(identity,inverse(inverse(X_11))) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[0],$fot(double_divide(identity,inverse(inverse(X_11))))]]) ).

cnf(refute_0_535,plain,
    ( double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(identity,inverse(inverse(X_11))) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_11)))) )],[refute_0_533,refute_0_534]) ).

cnf(refute_0_536,plain,
    double_divide(identity,inverse(inverse(X_11))) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_532,refute_0_535]) ).

cnf(refute_0_537,plain,
    double_divide(identity,inverse(inverse(X_11))) = multiply(inverse(X_11),identity),
    inference(subst,[],[refute_0_325:[bind(X_14,$fot(X_11))]]) ).

cnf(refute_0_538,plain,
    ( double_divide(identity,inverse(inverse(X_11))) != multiply(inverse(X_11),identity)
    | double_divide(identity,inverse(inverse(X_11))) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | multiply(inverse(X_11),identity) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(X_11))),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[0],$fot(multiply(inverse(X_11),identity))]]) ).

cnf(refute_0_539,plain,
    ( double_divide(identity,inverse(inverse(X_11))) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | multiply(inverse(X_11),identity) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_11))),multiply(inverse(X_11),identity)) )],[refute_0_537,refute_0_538]) ).

cnf(refute_0_540,plain,
    double_divide(X_10,inverse(identity)) = double_divide(X_10,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(identity)))]]) ).

cnf(refute_0_541,plain,
    ( double_divide(X_10,inverse(identity)) != double_divide(X_10,inverse(identity))
    | inverse(identity) != identity
    | double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_542,plain,
    ( inverse(identity) != identity
    | double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) )],[refute_0_540,refute_0_541]) ).

cnf(refute_0_543,plain,
    double_divide(X_10,inverse(identity)) = double_divide(X_10,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_542]) ).

cnf(refute_0_544,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_10,inverse(identity)) != double_divide(X_10,identity)
    | double_divide(X_10,inverse(identity)) = inverse(X_10) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(X_10,inverse(identity)))),bind(Y0,$fot(double_divide(X_10,identity))),bind(Z0,$fot(inverse(X_10)))]]) ).

cnf(refute_0_545,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_10,inverse(identity)) = inverse(X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,identity)) )],[refute_0_543,refute_0_544]) ).

cnf(refute_0_546,plain,
    double_divide(X_10,inverse(identity)) = inverse(X_10),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_28,refute_0_545]) ).

cnf(refute_0_547,plain,
    multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(double_divide(X_10,inverse(identity)),X_11),
    introduced(tautology,[refl,[$fot(multiply(double_divide(X_10,inverse(identity)),X_11))]]) ).

cnf(refute_0_548,plain,
    ( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(double_divide(X_10,inverse(identity)),X_11)
    | double_divide(X_10,inverse(identity)) != inverse(X_10)
    | multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(double_divide(X_10,inverse(identity)),X_11)) ),[1,0],$fot(inverse(X_10))]]) ).

cnf(refute_0_549,plain,
    ( double_divide(X_10,inverse(identity)) != inverse(X_10)
    | multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(double_divide(X_10,inverse(identity)),X_11)) )],[refute_0_547,refute_0_548]) ).

cnf(refute_0_550,plain,
    multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),inverse(X_10)) )],[refute_0_546,refute_0_549]) ).

cnf(refute_0_551,plain,
    double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
    introduced(tautology,[refl,[$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).

cnf(refute_0_552,plain,
    ( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(inverse(X_10),X_11)
    | double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[1,1],$fot(multiply(inverse(X_10),X_11))]]) ).

cnf(refute_0_553,plain,
    ( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(inverse(X_10),X_11)
    | double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_551,refute_0_552]) ).

cnf(refute_0_554,plain,
    double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(inverse(X_10),X_11)) )],[refute_0_550,refute_0_553]) ).

cnf(refute_0_555,plain,
    ( multiply(inverse(X_11),identity) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) != double_divide(X_10,multiply(inverse(X_10),X_11))
    | multiply(inverse(X_11),identity) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_11),identity),double_divide(X_10,multiply(inverse(X_10),X_11))) ),[0],$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).

cnf(refute_0_556,plain,
    ( multiply(inverse(X_11),identity) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | multiply(inverse(X_11),identity) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(inverse(X_10),X_11))) )],[refute_0_554,refute_0_555]) ).

cnf(refute_0_557,plain,
    ( double_divide(identity,inverse(inverse(X_11))) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | multiply(inverse(X_11),identity) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_539,refute_0_556]) ).

cnf(refute_0_558,plain,
    multiply(inverse(X_11),identity) = double_divide(X_10,multiply(inverse(X_10),X_11)),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_11))),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_536,refute_0_557]) ).

cnf(refute_0_559,plain,
    multiply(inverse(X_11),identity) = inverse(X_11),
    inference(subst,[],[refute_0_256:[bind(X_14,$fot(inverse(X_11)))]]) ).

cnf(refute_0_560,plain,
    ( multiply(inverse(X_11),identity) != double_divide(X_10,multiply(inverse(X_10),X_11))
    | multiply(inverse(X_11),identity) != inverse(X_11)
    | inverse(X_11) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),identity),double_divide(X_10,multiply(inverse(X_10),X_11))) ),[0],$fot(inverse(X_11))]]) ).

cnf(refute_0_561,plain,
    ( multiply(inverse(X_11),identity) != double_divide(X_10,multiply(inverse(X_10),X_11))
    | inverse(X_11) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),inverse(X_11)) )],[refute_0_559,refute_0_560]) ).

cnf(refute_0_562,plain,
    inverse(X_11) = double_divide(X_10,multiply(inverse(X_10),X_11)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),double_divide(X_10,multiply(inverse(X_10),X_11))) )],[refute_0_558,refute_0_561]) ).

cnf(refute_0_563,plain,
    inverse(multiply(inverse(inverse(X_10)),X_90)) = double_divide(X_10,multiply(inverse(X_10),multiply(inverse(inverse(X_10)),X_90))),
    inference(subst,[],[refute_0_562:[bind(X_11,$fot(multiply(inverse(inverse(X_10)),X_90)))]]) ).

cnf(refute_0_564,plain,
    multiply(multiply(inverse(X_16),X_46),X_16) = multiply(X_16,multiply(inverse(X_16),X_46)),
    inference(subst,[],[refute_0_509:[bind(X,$fot(X_16)),bind(X_88,$fot(multiply(inverse(X_16),X_46)))]]) ).

cnf(refute_0_565,plain,
    ( multiply(multiply(inverse(X_16),X_46),X_16) != X_46
    | multiply(multiply(inverse(X_16),X_46),X_16) != multiply(X_16,multiply(inverse(X_16),X_46))
    | multiply(X_16,multiply(inverse(X_16),X_46)) = X_46 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_16),X_46),X_16),X_46) ),[0],$fot(multiply(X_16,multiply(inverse(X_16),X_46)))]]) ).

cnf(refute_0_566,plain,
    ( multiply(multiply(inverse(X_16),X_46),X_16) != X_46
    | multiply(X_16,multiply(inverse(X_16),X_46)) = X_46 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_16),X_46),X_16),multiply(X_16,multiply(inverse(X_16),X_46))) )],[refute_0_564,refute_0_565]) ).

cnf(refute_0_567,plain,
    multiply(X_16,multiply(inverse(X_16),X_46)) = X_46,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_16),X_46),X_16),X_46) )],[refute_0_414,refute_0_566]) ).

cnf(refute_0_568,plain,
    multiply(inverse(X_10),multiply(inverse(inverse(X_10)),X_90)) = X_90,
    inference(subst,[],[refute_0_567:[bind(X_16,$fot(inverse(X_10))),bind(X_46,$fot(X_90))]]) ).

cnf(refute_0_569,plain,
    ( multiply(inverse(X_10),multiply(inverse(inverse(X_10)),X_90)) != X_90
    | inverse(multiply(inverse(inverse(X_10)),X_90)) != double_divide(X_10,multiply(inverse(X_10),multiply(inverse(inverse(X_10)),X_90)))
    | inverse(multiply(inverse(inverse(X_10)),X_90)) = double_divide(X_10,X_90) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(X_10)),X_90)),double_divide(X_10,multiply(inverse(X_10),multiply(inverse(inverse(X_10)),X_90)))) ),[1,1],$fot(X_90)]]) ).

cnf(refute_0_570,plain,
    ( inverse(multiply(inverse(inverse(X_10)),X_90)) != double_divide(X_10,multiply(inverse(X_10),multiply(inverse(inverse(X_10)),X_90)))
    | inverse(multiply(inverse(inverse(X_10)),X_90)) = double_divide(X_10,X_90) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(inverse(inverse(X_10)),X_90)),X_90) )],[refute_0_568,refute_0_569]) ).

cnf(refute_0_571,plain,
    inverse(multiply(inverse(inverse(X_10)),X_90)) = double_divide(X_10,X_90),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_10)),X_90)),double_divide(X_10,multiply(inverse(X_10),multiply(inverse(inverse(X_10)),X_90)))) )],[refute_0_563,refute_0_570]) ).

cnf(refute_0_572,plain,
    multiply(multiply(X_47,double_divide(X_47,X_36)),inverse(X_47)) = double_divide(X_47,X_36),
    inference(subst,[],[refute_0_410:[bind(Y,$fot(double_divide(X_47,X_36))),bind(X_15,$fot(X_47))]]) ).

cnf(refute_0_573,plain,
    multiply(X_47,double_divide(X_47,X_36)) = inverse(X_36),
    inference(subst,[],[refute_0_314:[bind(X,$fot(X_47))]]) ).

cnf(refute_0_574,plain,
    ( multiply(X_47,double_divide(X_47,X_36)) != inverse(X_36)
    | multiply(multiply(X_47,double_divide(X_47,X_36)),inverse(X_47)) != double_divide(X_47,X_36)
    | multiply(inverse(X_36),inverse(X_47)) = double_divide(X_47,X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_47,double_divide(X_47,X_36)),inverse(X_47)),double_divide(X_47,X_36)) ),[0,0],$fot(inverse(X_36))]]) ).

cnf(refute_0_575,plain,
    ( multiply(multiply(X_47,double_divide(X_47,X_36)),inverse(X_47)) != double_divide(X_47,X_36)
    | multiply(inverse(X_36),inverse(X_47)) = double_divide(X_47,X_36) ),
    inference(resolve,[$cnf( $equal(multiply(X_47,double_divide(X_47,X_36)),inverse(X_36)) )],[refute_0_573,refute_0_574]) ).

cnf(refute_0_576,plain,
    multiply(inverse(X_36),inverse(X_47)) = double_divide(X_47,X_36),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_47,double_divide(X_47,X_36)),inverse(X_47)),double_divide(X_47,X_36)) )],[refute_0_572,refute_0_575]) ).

cnf(refute_0_577,plain,
    multiply(inverse(X_10),inverse(X_90)) = double_divide(X_90,X_10),
    inference(subst,[],[refute_0_576:[bind(X_36,$fot(X_10)),bind(X_47,$fot(X_90))]]) ).

cnf(refute_0_578,plain,
    double_divide(X_90,inverse(inverse(X_10))) = multiply(inverse(X_10),inverse(X_90)),
    inference(subst,[],[refute_0_454:[bind(X,$fot(inverse(X_10))),bind(X_51,$fot(X_90))]]) ).

cnf(refute_0_579,plain,
    ( multiply(inverse(X_10),inverse(X_90)) != double_divide(X_90,X_10)
    | double_divide(X_90,inverse(inverse(X_10))) != multiply(inverse(X_10),inverse(X_90))
    | double_divide(X_90,inverse(inverse(X_10))) = double_divide(X_90,X_10) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(X_90,inverse(inverse(X_10))))),bind(Y0,$fot(multiply(inverse(X_10),inverse(X_90)))),bind(Z0,$fot(double_divide(X_90,X_10)))]]) ).

cnf(refute_0_580,plain,
    ( multiply(inverse(X_10),inverse(X_90)) != double_divide(X_90,X_10)
    | double_divide(X_90,inverse(inverse(X_10))) = double_divide(X_90,X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(X_90,inverse(inverse(X_10))),multiply(inverse(X_10),inverse(X_90))) )],[refute_0_578,refute_0_579]) ).

cnf(refute_0_581,plain,
    double_divide(X_90,inverse(inverse(X_10))) = double_divide(X_90,X_10),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(X_90)),double_divide(X_90,X_10)) )],[refute_0_577,refute_0_580]) ).

cnf(refute_0_582,plain,
    inverse(multiply(inverse(inverse(X_10)),X_90)) = double_divide(X_90,inverse(inverse(X_10))),
    inference(subst,[],[refute_0_448:[bind(X,$fot(inverse(inverse(X_10)))),bind(Y,$fot(X_90))]]) ).

cnf(refute_0_583,plain,
    ( double_divide(X_90,inverse(inverse(X_10))) != double_divide(X_90,X_10)
    | inverse(multiply(inverse(inverse(X_10)),X_90)) != double_divide(X_90,inverse(inverse(X_10)))
    | inverse(multiply(inverse(inverse(X_10)),X_90)) = double_divide(X_90,X_10) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(inverse(multiply(inverse(inverse(X_10)),X_90)))),bind(Y0,$fot(double_divide(X_90,inverse(inverse(X_10))))),bind(Z0,$fot(double_divide(X_90,X_10)))]]) ).

cnf(refute_0_584,plain,
    ( double_divide(X_90,inverse(inverse(X_10))) != double_divide(X_90,X_10)
    | inverse(multiply(inverse(inverse(X_10)),X_90)) = double_divide(X_90,X_10) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_10)),X_90)),double_divide(X_90,inverse(inverse(X_10)))) )],[refute_0_582,refute_0_583]) ).

cnf(refute_0_585,plain,
    inverse(multiply(inverse(inverse(X_10)),X_90)) = double_divide(X_90,X_10),
    inference(resolve,[$cnf( $equal(double_divide(X_90,inverse(inverse(X_10))),double_divide(X_90,X_10)) )],[refute_0_581,refute_0_584]) ).

cnf(refute_0_586,plain,
    ( inverse(multiply(inverse(inverse(X_10)),X_90)) != double_divide(X_10,X_90)
    | inverse(multiply(inverse(inverse(X_10)),X_90)) != double_divide(X_90,X_10)
    | double_divide(X_90,X_10) = double_divide(X_10,X_90) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(X_10)),X_90)),double_divide(X_10,X_90)) ),[0],$fot(double_divide(X_90,X_10))]]) ).

cnf(refute_0_587,plain,
    ( inverse(multiply(inverse(inverse(X_10)),X_90)) != double_divide(X_10,X_90)
    | double_divide(X_90,X_10) = double_divide(X_10,X_90) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_10)),X_90)),double_divide(X_90,X_10)) )],[refute_0_585,refute_0_586]) ).

cnf(refute_0_588,plain,
    double_divide(X_90,X_10) = double_divide(X_10,X_90),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_10)),X_90)),double_divide(X_10,X_90)) )],[refute_0_571,refute_0_587]) ).

cnf(refute_0_589,plain,
    double_divide(X_108,X_109) = double_divide(X_109,X_108),
    inference(subst,[],[refute_0_588:[bind(X_10,$fot(X_109)),bind(X_90,$fot(X_108))]]) ).

cnf(refute_0_590,plain,
    ( double_divide(X_108,X_109) != double_divide(X_109,X_108)
    | double_divide(X_109,X_108) = double_divide(X_108,X_109) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_108,X_109))),bind(Y0,$fot(double_divide(X_109,X_108)))]]) ).

cnf(refute_0_591,plain,
    double_divide(X_109,X_108) = double_divide(X_108,X_109),
    inference(resolve,[$cnf( $equal(double_divide(X_108,X_109),double_divide(X_109,X_108)) )],[refute_0_589,refute_0_590]) ).

cnf(refute_0_592,plain,
    ( multiply(multiply(X_108,X_109),multiply(double_divide(X_109,X_108),X_110)) != X_110
    | double_divide(X_109,X_108) != double_divide(X_108,X_109)
    | multiply(multiply(X_108,X_109),multiply(double_divide(X_108,X_109),X_110)) = X_110 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_108,X_109),multiply(double_divide(X_109,X_108),X_110)),X_110) ),[0,1,0],$fot(double_divide(X_108,X_109))]]) ).

cnf(refute_0_593,plain,
    ( multiply(multiply(X_108,X_109),multiply(double_divide(X_109,X_108),X_110)) != X_110
    | multiply(multiply(X_108,X_109),multiply(double_divide(X_108,X_109),X_110)) = X_110 ),
    inference(resolve,[$cnf( $equal(double_divide(X_109,X_108),double_divide(X_108,X_109)) )],[refute_0_591,refute_0_592]) ).

cnf(refute_0_594,plain,
    multiply(multiply(X_108,X_109),multiply(double_divide(X_108,X_109),X_110)) = X_110,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_108,X_109),multiply(double_divide(X_109,X_108),X_110)),X_110) )],[refute_0_528,refute_0_593]) ).

cnf(refute_0_595,plain,
    multiply(multiply(X_111,X_112),multiply(double_divide(X_111,X_112),inverse(double_divide(X_111,X_112)))) = inverse(double_divide(X_111,X_112)),
    inference(subst,[],[refute_0_594:[bind(X_108,$fot(X_111)),bind(X_109,$fot(X_112)),bind(X_110,$fot(inverse(double_divide(X_111,X_112))))]]) ).

cnf(refute_0_596,plain,
    inverse(double_divide(inverse(X_14),X_14)) = multiply(X_14,inverse(X_14)),
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_14)),bind(Y,$fot(inverse(X_14)))]]) ).

cnf(refute_0_597,plain,
    double_divide(double_divide(inverse(X_14),X_14),identity) = inverse(double_divide(inverse(X_14),X_14)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(inverse(X_14),X_14)))]]) ).

cnf(refute_0_598,plain,
    ( double_divide(double_divide(inverse(X_14),X_14),identity) != inverse(double_divide(inverse(X_14),X_14))
    | inverse(double_divide(inverse(X_14),X_14)) != multiply(X_14,inverse(X_14))
    | double_divide(double_divide(inverse(X_14),X_14),identity) = multiply(X_14,inverse(X_14)) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(inverse(X_14),X_14),identity))),bind(Y0,$fot(inverse(double_divide(inverse(X_14),X_14)))),bind(Z0,$fot(multiply(X_14,inverse(X_14))))]]) ).

cnf(refute_0_599,plain,
    ( inverse(double_divide(inverse(X_14),X_14)) != multiply(X_14,inverse(X_14))
    | double_divide(double_divide(inverse(X_14),X_14),identity) = multiply(X_14,inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_14),X_14),identity),inverse(double_divide(inverse(X_14),X_14))) )],[refute_0_597,refute_0_598]) ).

cnf(refute_0_600,plain,
    double_divide(double_divide(inverse(X_14),X_14),identity) = multiply(X_14,inverse(X_14)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_14),X_14)),multiply(X_14,inverse(X_14))) )],[refute_0_596,refute_0_599]) ).

cnf(refute_0_601,plain,
    double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = double_divide(double_divide(inverse(X_14),X_14),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_14),X_14),inverse(identity)))]]) ).

cnf(refute_0_602,plain,
    ( double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) != double_divide(double_divide(inverse(X_14),X_14),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = double_divide(double_divide(inverse(X_14),X_14),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_14),X_14),inverse(identity)),double_divide(double_divide(inverse(X_14),X_14),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_603,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = double_divide(double_divide(inverse(X_14),X_14),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_14),X_14),inverse(identity)),double_divide(double_divide(inverse(X_14),X_14),inverse(identity))) )],[refute_0_601,refute_0_602]) ).

cnf(refute_0_604,plain,
    double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = double_divide(double_divide(inverse(X_14),X_14),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_603]) ).

cnf(refute_0_605,plain,
    ( double_divide(double_divide(inverse(X_14),X_14),identity) != multiply(X_14,inverse(X_14))
    | double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) != double_divide(double_divide(inverse(X_14),X_14),identity)
    | double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = multiply(X_14,inverse(X_14)) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(inverse(X_14),X_14),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(inverse(X_14),X_14),identity))),bind(Z0,$fot(multiply(X_14,inverse(X_14))))]]) ).

cnf(refute_0_606,plain,
    ( double_divide(double_divide(inverse(X_14),X_14),identity) != multiply(X_14,inverse(X_14))
    | double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = multiply(X_14,inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_14),X_14),inverse(identity)),double_divide(double_divide(inverse(X_14),X_14),identity)) )],[refute_0_604,refute_0_605]) ).

cnf(refute_0_607,plain,
    double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = multiply(X_14,inverse(X_14)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_14),X_14),identity),multiply(X_14,inverse(X_14))) )],[refute_0_600,refute_0_606]) ).

cnf(refute_0_608,plain,
    ( double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) != multiply(X_14,inverse(X_14))
    | double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) != identity
    | multiply(X_14,inverse(X_14)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_14),X_14),inverse(identity)),identity) ),[0],$fot(multiply(X_14,inverse(X_14)))]]) ).

cnf(refute_0_609,plain,
    ( double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) != identity
    | multiply(X_14,inverse(X_14)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_14),X_14),inverse(identity)),multiply(X_14,inverse(X_14))) )],[refute_0_607,refute_0_608]) ).

cnf(refute_0_610,plain,
    multiply(X_14,inverse(X_14)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_14),X_14),inverse(identity)),identity) )],[refute_0_101,refute_0_609]) ).

cnf(refute_0_611,plain,
    multiply(double_divide(X_111,X_112),inverse(double_divide(X_111,X_112))) = identity,
    inference(subst,[],[refute_0_610:[bind(X_14,$fot(double_divide(X_111,X_112)))]]) ).

cnf(refute_0_612,plain,
    ( multiply(multiply(X_111,X_112),multiply(double_divide(X_111,X_112),inverse(double_divide(X_111,X_112)))) != inverse(double_divide(X_111,X_112))
    | multiply(double_divide(X_111,X_112),inverse(double_divide(X_111,X_112))) != identity
    | multiply(multiply(X_111,X_112),identity) = inverse(double_divide(X_111,X_112)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_111,X_112),multiply(double_divide(X_111,X_112),inverse(double_divide(X_111,X_112)))),inverse(double_divide(X_111,X_112))) ),[0,1],$fot(identity)]]) ).

cnf(refute_0_613,plain,
    ( multiply(multiply(X_111,X_112),multiply(double_divide(X_111,X_112),inverse(double_divide(X_111,X_112)))) != inverse(double_divide(X_111,X_112))
    | multiply(multiply(X_111,X_112),identity) = inverse(double_divide(X_111,X_112)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_111,X_112),inverse(double_divide(X_111,X_112))),identity) )],[refute_0_611,refute_0_612]) ).

cnf(refute_0_614,plain,
    multiply(multiply(X_111,X_112),identity) = inverse(double_divide(X_111,X_112)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_111,X_112),multiply(double_divide(X_111,X_112),inverse(double_divide(X_111,X_112)))),inverse(double_divide(X_111,X_112))) )],[refute_0_595,refute_0_613]) ).

cnf(refute_0_615,plain,
    multiply(identity,multiply(X_111,X_112)) = multiply(X_111,X_112),
    inference(subst,[],[refute_0_156:[bind(X_3,$fot(multiply(X_111,X_112)))]]) ).

cnf(refute_0_616,plain,
    multiply(X,double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85)))) = inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85))),
    inference(subst,[],[refute_0_314:[bind(X_36,$fot(multiply(X_86,multiply(double_divide(X,X_86),X_85))))]]) ).

cnf(refute_0_617,plain,
    inverse(X_85) = double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85))),
    inference(subst,[],[refute_0_465:[bind(Y,$fot(X_85)),bind(Z,$fot(X_86))]]) ).

cnf(refute_0_618,plain,
    ( inverse(X_85) != double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85)))
    | double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85))) = inverse(X_85) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_85))),bind(Y0,$fot(double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85)))))]]) ).

cnf(refute_0_619,plain,
    double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85))) = inverse(X_85),
    inference(resolve,[$cnf( $equal(inverse(X_85),double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85)))) )],[refute_0_617,refute_0_618]) ).

cnf(refute_0_620,plain,
    ( multiply(X,double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85)))) != inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85)))
    | double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85))) != inverse(X_85)
    | multiply(X,inverse(X_85)) = inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85)))),inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85)))) ),[0,1],$fot(inverse(X_85))]]) ).

cnf(refute_0_621,plain,
    ( multiply(X,double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85)))) != inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85)))
    | multiply(X,inverse(X_85)) = inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85))) ),
    inference(resolve,[$cnf( $equal(double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85))),inverse(X_85)) )],[refute_0_619,refute_0_620]) ).

cnf(refute_0_622,plain,
    multiply(X,inverse(X_85)) = inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85))),
    inference(resolve,[$cnf( $equal(multiply(X,double_divide(X,multiply(X_86,multiply(double_divide(X,X_86),X_85)))),inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85)))) )],[refute_0_616,refute_0_621]) ).

cnf(refute_0_623,plain,
    inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85))) = double_divide(multiply(double_divide(X,X_86),X_85),X_86),
    inference(subst,[],[refute_0_448:[bind(X,$fot(X_86)),bind(Y,$fot(multiply(double_divide(X,X_86),X_85)))]]) ).

cnf(refute_0_624,plain,
    ( multiply(X,inverse(X_85)) != inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85)))
    | inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85))) != double_divide(multiply(double_divide(X,X_86),X_85),X_86)
    | multiply(X,inverse(X_85)) = double_divide(multiply(double_divide(X,X_86),X_85),X_86) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,inverse(X_85)),double_divide(multiply(double_divide(X,X_86),X_85),X_86)) ),[0],$fot(inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85))))]]) ).

cnf(refute_0_625,plain,
    ( multiply(X,inverse(X_85)) != inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85)))
    | multiply(X,inverse(X_85)) = double_divide(multiply(double_divide(X,X_86),X_85),X_86) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85))),double_divide(multiply(double_divide(X,X_86),X_85),X_86)) )],[refute_0_623,refute_0_624]) ).

cnf(refute_0_626,plain,
    multiply(X,inverse(X_85)) = double_divide(multiply(double_divide(X,X_86),X_85),X_86),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(X_85)),inverse(multiply(X_86,multiply(double_divide(X,X_86),X_85)))) )],[refute_0_622,refute_0_625]) ).

cnf(refute_0_627,plain,
    ( double_divide(X_90,X_10) != double_divide(X_10,X_90)
    | double_divide(X_10,X_90) = double_divide(X_90,X_10) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_90,X_10))),bind(Y0,$fot(double_divide(X_10,X_90)))]]) ).

cnf(refute_0_628,plain,
    double_divide(X_10,X_90) = double_divide(X_90,X_10),
    inference(resolve,[$cnf( $equal(double_divide(X_90,X_10),double_divide(X_10,X_90)) )],[refute_0_588,refute_0_627]) ).

cnf(refute_0_629,plain,
    double_divide(multiply(double_divide(X,X_86),X_85),X_86) = double_divide(X_86,multiply(double_divide(X,X_86),X_85)),
    inference(subst,[],[refute_0_628:[bind(X_10,$fot(multiply(double_divide(X,X_86),X_85))),bind(X_90,$fot(X_86))]]) ).

cnf(refute_0_630,plain,
    ( multiply(X,inverse(X_85)) != double_divide(multiply(double_divide(X,X_86),X_85),X_86)
    | double_divide(multiply(double_divide(X,X_86),X_85),X_86) != double_divide(X_86,multiply(double_divide(X,X_86),X_85))
    | multiply(X,inverse(X_85)) = double_divide(X_86,multiply(double_divide(X,X_86),X_85)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,inverse(X_85)),double_divide(X_86,multiply(double_divide(X,X_86),X_85))) ),[0],$fot(double_divide(multiply(double_divide(X,X_86),X_85),X_86))]]) ).

cnf(refute_0_631,plain,
    ( multiply(X,inverse(X_85)) != double_divide(multiply(double_divide(X,X_86),X_85),X_86)
    | multiply(X,inverse(X_85)) = double_divide(X_86,multiply(double_divide(X,X_86),X_85)) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X,X_86),X_85),X_86),double_divide(X_86,multiply(double_divide(X,X_86),X_85))) )],[refute_0_629,refute_0_630]) ).

cnf(refute_0_632,plain,
    multiply(X,inverse(X_85)) = double_divide(X_86,multiply(double_divide(X,X_86),X_85)),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(X_85)),double_divide(multiply(double_divide(X,X_86),X_85),X_86)) )],[refute_0_626,refute_0_631]) ).

cnf(refute_0_633,plain,
    multiply(X,inverse(inverse(X_107))) = double_divide(X_86,multiply(double_divide(X,X_86),inverse(X_107))),
    inference(subst,[],[refute_0_632:[bind(X_85,$fot(inverse(X_107)))]]) ).

cnf(refute_0_634,plain,
    multiply(inverse(multiply(X,Y)),inverse(X_61)) = double_divide(X_61,multiply(X,Y)),
    inference(subst,[],[refute_0_576:[bind(X_36,$fot(multiply(X,Y))),bind(X_47,$fot(X_61))]]) ).

cnf(refute_0_635,plain,
    ( multiply(inverse(multiply(X,Y)),inverse(X_61)) != double_divide(X_61,multiply(X,Y))
    | inverse(multiply(X,Y)) != double_divide(Y,X)
    | multiply(double_divide(Y,X),inverse(X_61)) = double_divide(X_61,multiply(X,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X,Y)),inverse(X_61)),double_divide(X_61,multiply(X,Y))) ),[0,0],$fot(double_divide(Y,X))]]) ).

cnf(refute_0_636,plain,
    ( multiply(inverse(multiply(X,Y)),inverse(X_61)) != double_divide(X_61,multiply(X,Y))
    | multiply(double_divide(Y,X),inverse(X_61)) = double_divide(X_61,multiply(X,Y)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X,Y)),double_divide(Y,X)) )],[refute_0_448,refute_0_635]) ).

cnf(refute_0_637,plain,
    multiply(double_divide(Y,X),inverse(X_61)) = double_divide(X_61,multiply(X,Y)),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,Y)),inverse(X_61)),double_divide(X_61,multiply(X,Y))) )],[refute_0_634,refute_0_636]) ).

cnf(refute_0_638,plain,
    multiply(double_divide(X,X_86),inverse(X_107)) = double_divide(X_107,multiply(X_86,X)),
    inference(subst,[],[refute_0_637:[bind(X,$fot(X_86)),bind(Y,$fot(X)),bind(X_61,$fot(X_107))]]) ).

cnf(refute_0_639,plain,
    ( multiply(X,inverse(inverse(X_107))) != double_divide(X_86,multiply(double_divide(X,X_86),inverse(X_107)))
    | multiply(double_divide(X,X_86),inverse(X_107)) != double_divide(X_107,multiply(X_86,X))
    | multiply(X,inverse(inverse(X_107))) = double_divide(X_86,double_divide(X_107,multiply(X_86,X))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(inverse(X_107))),double_divide(X_86,multiply(double_divide(X,X_86),inverse(X_107)))) ),[1,1],$fot(double_divide(X_107,multiply(X_86,X)))]]) ).

cnf(refute_0_640,plain,
    ( multiply(X,inverse(inverse(X_107))) != double_divide(X_86,multiply(double_divide(X,X_86),inverse(X_107)))
    | multiply(X,inverse(inverse(X_107))) = double_divide(X_86,double_divide(X_107,multiply(X_86,X))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X,X_86),inverse(X_107)),double_divide(X_107,multiply(X_86,X))) )],[refute_0_638,refute_0_639]) ).

cnf(refute_0_641,plain,
    multiply(X,inverse(inverse(X_107))) = double_divide(X_86,double_divide(X_107,multiply(X_86,X))),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(X_107))),double_divide(X_86,multiply(double_divide(X,X_86),inverse(X_107)))) )],[refute_0_633,refute_0_640]) ).

cnf(refute_0_642,plain,
    inverse(inverse(X_107)) = X_107,
    inference(subst,[],[refute_0_152:[bind(X_16,$fot(X_107))]]) ).

cnf(refute_0_643,plain,
    multiply(X,inverse(inverse(X_107))) = multiply(X,inverse(inverse(X_107))),
    introduced(tautology,[refl,[$fot(multiply(X,inverse(inverse(X_107))))]]) ).

cnf(refute_0_644,plain,
    ( multiply(X,inverse(inverse(X_107))) != multiply(X,inverse(inverse(X_107)))
    | inverse(inverse(X_107)) != X_107
    | multiply(X,inverse(inverse(X_107))) = multiply(X,X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(inverse(X_107))),multiply(X,inverse(inverse(X_107)))) ),[1,1],$fot(X_107)]]) ).

cnf(refute_0_645,plain,
    ( inverse(inverse(X_107)) != X_107
    | multiply(X,inverse(inverse(X_107))) = multiply(X,X_107) ),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(X_107))),multiply(X,inverse(inverse(X_107)))) )],[refute_0_643,refute_0_644]) ).

cnf(refute_0_646,plain,
    multiply(X,inverse(inverse(X_107))) = multiply(X,X_107),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_107)),X_107) )],[refute_0_642,refute_0_645]) ).

cnf(refute_0_647,plain,
    ( multiply(X,inverse(inverse(X_107))) != multiply(X,X_107)
    | multiply(X,inverse(inverse(X_107))) != double_divide(X_86,double_divide(X_107,multiply(X_86,X)))
    | multiply(X,X_107) = double_divide(X_86,double_divide(X_107,multiply(X_86,X))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(inverse(X_107))),double_divide(X_86,double_divide(X_107,multiply(X_86,X)))) ),[0],$fot(multiply(X,X_107))]]) ).

cnf(refute_0_648,plain,
    ( multiply(X,inverse(inverse(X_107))) != double_divide(X_86,double_divide(X_107,multiply(X_86,X)))
    | multiply(X,X_107) = double_divide(X_86,double_divide(X_107,multiply(X_86,X))) ),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(X_107))),multiply(X,X_107)) )],[refute_0_646,refute_0_647]) ).

cnf(refute_0_649,plain,
    double_divide(X_86,double_divide(X,X_86)) = X,
    inference(subst,[],[refute_0_305:[bind(X_16,$fot(X)),bind(X_32,$fot(X_86))]]) ).

cnf(refute_0_650,plain,
    multiply(X_107,double_divide(X_86,double_divide(X,X_86))) = multiply(X_107,double_divide(X_86,double_divide(X,X_86))),
    introduced(tautology,[refl,[$fot(multiply(X_107,double_divide(X_86,double_divide(X,X_86))))]]) ).

cnf(refute_0_651,plain,
    ( multiply(X_107,double_divide(X_86,double_divide(X,X_86))) != multiply(X_107,double_divide(X_86,double_divide(X,X_86)))
    | double_divide(X_86,double_divide(X,X_86)) != X
    | multiply(X_107,double_divide(X_86,double_divide(X,X_86))) = multiply(X_107,X) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_107,double_divide(X_86,double_divide(X,X_86))),multiply(X_107,double_divide(X_86,double_divide(X,X_86)))) ),[1,1],$fot(X)]]) ).

cnf(refute_0_652,plain,
    ( double_divide(X_86,double_divide(X,X_86)) != X
    | multiply(X_107,double_divide(X_86,double_divide(X,X_86))) = multiply(X_107,X) ),
    inference(resolve,[$cnf( $equal(multiply(X_107,double_divide(X_86,double_divide(X,X_86))),multiply(X_107,double_divide(X_86,double_divide(X,X_86)))) )],[refute_0_650,refute_0_651]) ).

cnf(refute_0_653,plain,
    multiply(X_107,double_divide(X_86,double_divide(X,X_86))) = multiply(X_107,X),
    inference(resolve,[$cnf( $equal(double_divide(X_86,double_divide(X,X_86)),X) )],[refute_0_649,refute_0_652]) ).

cnf(refute_0_654,plain,
    multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) = double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107))),
    inference(subst,[],[refute_0_637:[bind(X,$fot(double_divide(X_106,X_105))),bind(Y,$fot(inverse(X_107)))]]) ).

cnf(refute_0_655,plain,
    multiply(double_divide(X_106,X_105),inverse(X_107)) = double_divide(X_107,multiply(X_105,X_106)),
    inference(subst,[],[refute_0_637:[bind(X,$fot(X_105)),bind(Y,$fot(X_106)),bind(X_61,$fot(X_107))]]) ).

cnf(refute_0_656,plain,
    ( multiply(double_divide(X_106,X_105),inverse(X_107)) != double_divide(X_107,multiply(X_105,X_106))
    | multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) != double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107)))
    | multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) = double_divide(X_61,double_divide(X_107,multiply(X_105,X_106))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)),double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107)))) ),[1,1],$fot(double_divide(X_107,multiply(X_105,X_106)))]]) ).

cnf(refute_0_657,plain,
    ( multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) != double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107)))
    | multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) = double_divide(X_61,double_divide(X_107,multiply(X_105,X_106))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_106,X_105),inverse(X_107)),double_divide(X_107,multiply(X_105,X_106))) )],[refute_0_655,refute_0_656]) ).

cnf(refute_0_658,plain,
    multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) = double_divide(X_61,double_divide(X_107,multiply(X_105,X_106))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)),double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107)))) )],[refute_0_654,refute_0_657]) ).

cnf(refute_0_659,plain,
    inverse(double_divide(double_divide(X_84,X_86),X_36)) = double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),double_divide(double_divide(X_84,X_86),X_36)))),
    inference(subst,[],[refute_0_465:[bind(X,$fot(X_84)),bind(Y,$fot(double_divide(double_divide(X_84,X_86),X_36))),bind(Z,$fot(X_86))]]) ).

cnf(refute_0_660,plain,
    multiply(double_divide(X_84,X_86),double_divide(double_divide(X_84,X_86),X_36)) = inverse(X_36),
    inference(subst,[],[refute_0_314:[bind(X,$fot(double_divide(X_84,X_86)))]]) ).

cnf(refute_0_661,plain,
    ( multiply(double_divide(X_84,X_86),double_divide(double_divide(X_84,X_86),X_36)) != inverse(X_36)
    | inverse(double_divide(double_divide(X_84,X_86),X_36)) != double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),double_divide(double_divide(X_84,X_86),X_36))))
    | inverse(double_divide(double_divide(X_84,X_86),X_36)) = double_divide(X_84,multiply(X_86,inverse(X_36))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_84,X_86),X_36)),double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),double_divide(double_divide(X_84,X_86),X_36))))) ),[1,1,1],$fot(inverse(X_36))]]) ).

cnf(refute_0_662,plain,
    ( inverse(double_divide(double_divide(X_84,X_86),X_36)) != double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),double_divide(double_divide(X_84,X_86),X_36))))
    | inverse(double_divide(double_divide(X_84,X_86),X_36)) = double_divide(X_84,multiply(X_86,inverse(X_36))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_84,X_86),double_divide(double_divide(X_84,X_86),X_36)),inverse(X_36)) )],[refute_0_660,refute_0_661]) ).

cnf(refute_0_663,plain,
    inverse(double_divide(double_divide(X_84,X_86),X_36)) = double_divide(X_84,multiply(X_86,inverse(X_36))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_84,X_86),X_36)),double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),double_divide(double_divide(X_84,X_86),X_36))))) )],[refute_0_659,refute_0_662]) ).

cnf(refute_0_664,plain,
    inverse(double_divide(double_divide(X_84,X_86),X_36)) = multiply(X_36,double_divide(X_84,X_86)),
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_36)),bind(Y,$fot(double_divide(X_84,X_86)))]]) ).

cnf(refute_0_665,plain,
    ( inverse(double_divide(double_divide(X_84,X_86),X_36)) != multiply(X_36,double_divide(X_84,X_86))
    | inverse(double_divide(double_divide(X_84,X_86),X_36)) != double_divide(X_84,multiply(X_86,inverse(X_36)))
    | multiply(X_36,double_divide(X_84,X_86)) = double_divide(X_84,multiply(X_86,inverse(X_36))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_84,X_86),X_36)),double_divide(X_84,multiply(X_86,inverse(X_36)))) ),[0],$fot(multiply(X_36,double_divide(X_84,X_86)))]]) ).

cnf(refute_0_666,plain,
    ( inverse(double_divide(double_divide(X_84,X_86),X_36)) != double_divide(X_84,multiply(X_86,inverse(X_36)))
    | multiply(X_36,double_divide(X_84,X_86)) = double_divide(X_84,multiply(X_86,inverse(X_36))) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_84,X_86),X_36)),multiply(X_36,double_divide(X_84,X_86))) )],[refute_0_664,refute_0_665]) ).

cnf(refute_0_667,plain,
    multiply(X_36,double_divide(X_84,X_86)) = double_divide(X_84,multiply(X_86,inverse(X_36))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_84,X_86),X_36)),double_divide(X_84,multiply(X_86,inverse(X_36)))) )],[refute_0_663,refute_0_666]) ).

cnf(refute_0_668,plain,
    ( multiply(X_36,double_divide(X_84,X_86)) != double_divide(X_84,multiply(X_86,inverse(X_36)))
    | double_divide(X_84,multiply(X_86,inverse(X_36))) = multiply(X_36,double_divide(X_84,X_86)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_36,double_divide(X_84,X_86)))),bind(Y0,$fot(double_divide(X_84,multiply(X_86,inverse(X_36)))))]]) ).

cnf(refute_0_669,plain,
    double_divide(X_84,multiply(X_86,inverse(X_36))) = multiply(X_36,double_divide(X_84,X_86)),
    inference(resolve,[$cnf( $equal(multiply(X_36,double_divide(X_84,X_86)),double_divide(X_84,multiply(X_86,inverse(X_36)))) )],[refute_0_667,refute_0_668]) ).

cnf(refute_0_670,plain,
    double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107))) = multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))),
    inference(subst,[],[refute_0_669:[bind(X_36,$fot(X_107)),bind(X_84,$fot(X_61)),bind(X_86,$fot(double_divide(X_106,X_105)))]]) ).

cnf(refute_0_671,plain,
    ( multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) != double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107)))
    | double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107))) != multiply(X_107,double_divide(X_61,double_divide(X_106,X_105)))
    | multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) = multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)))),bind(Y0,$fot(double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107))))),bind(Z0,$fot(multiply(X_107,double_divide(X_61,double_divide(X_106,X_105)))))]]) ).

cnf(refute_0_672,plain,
    ( double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107))) != multiply(X_107,double_divide(X_61,double_divide(X_106,X_105)))
    | multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) = multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)),double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107)))) )],[refute_0_654,refute_0_671]) ).

cnf(refute_0_673,plain,
    multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) = multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))),
    inference(resolve,[$cnf( $equal(double_divide(X_61,multiply(double_divide(X_106,X_105),inverse(X_107))),multiply(X_107,double_divide(X_61,double_divide(X_106,X_105)))) )],[refute_0_670,refute_0_672]) ).

cnf(refute_0_674,plain,
    ( multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) != multiply(X_107,double_divide(X_61,double_divide(X_106,X_105)))
    | multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) != double_divide(X_61,double_divide(X_107,multiply(X_105,X_106)))
    | multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))) = double_divide(X_61,double_divide(X_107,multiply(X_105,X_106))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)),double_divide(X_61,double_divide(X_107,multiply(X_105,X_106)))) ),[0],$fot(multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))))]]) ).

cnf(refute_0_675,plain,
    ( multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)) != double_divide(X_61,double_divide(X_107,multiply(X_105,X_106)))
    | multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))) = double_divide(X_61,double_divide(X_107,multiply(X_105,X_106))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)),multiply(X_107,double_divide(X_61,double_divide(X_106,X_105)))) )],[refute_0_673,refute_0_674]) ).

cnf(refute_0_676,plain,
    multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))) = double_divide(X_61,double_divide(X_107,multiply(X_105,X_106))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_107),double_divide(X_106,X_105)),inverse(X_61)),double_divide(X_61,double_divide(X_107,multiply(X_105,X_106)))) )],[refute_0_658,refute_0_675]) ).

cnf(refute_0_677,plain,
    ( multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))) != double_divide(X_61,double_divide(X_107,multiply(X_105,X_106)))
    | double_divide(X_61,double_divide(X_107,multiply(X_105,X_106))) = multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))))),bind(Y0,$fot(double_divide(X_61,double_divide(X_107,multiply(X_105,X_106)))))]]) ).

cnf(refute_0_678,plain,
    double_divide(X_61,double_divide(X_107,multiply(X_105,X_106))) = multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))),
    inference(resolve,[$cnf( $equal(multiply(X_107,double_divide(X_61,double_divide(X_106,X_105))),double_divide(X_61,double_divide(X_107,multiply(X_105,X_106)))) )],[refute_0_676,refute_0_677]) ).

cnf(refute_0_679,plain,
    double_divide(X_86,double_divide(X_107,multiply(X_86,X))) = multiply(X_107,double_divide(X_86,double_divide(X,X_86))),
    inference(subst,[],[refute_0_678:[bind(X_105,$fot(X_86)),bind(X_106,$fot(X)),bind(X_61,$fot(X_86))]]) ).

cnf(refute_0_680,plain,
    ( multiply(X_107,double_divide(X_86,double_divide(X,X_86))) != multiply(X_107,X)
    | double_divide(X_86,double_divide(X_107,multiply(X_86,X))) != multiply(X_107,double_divide(X_86,double_divide(X,X_86)))
    | double_divide(X_86,double_divide(X_107,multiply(X_86,X))) = multiply(X_107,X) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(X_86,double_divide(X_107,multiply(X_86,X))))),bind(Y0,$fot(multiply(X_107,double_divide(X_86,double_divide(X,X_86))))),bind(Z0,$fot(multiply(X_107,X)))]]) ).

cnf(refute_0_681,plain,
    ( multiply(X_107,double_divide(X_86,double_divide(X,X_86))) != multiply(X_107,X)
    | double_divide(X_86,double_divide(X_107,multiply(X_86,X))) = multiply(X_107,X) ),
    inference(resolve,[$cnf( $equal(double_divide(X_86,double_divide(X_107,multiply(X_86,X))),multiply(X_107,double_divide(X_86,double_divide(X,X_86)))) )],[refute_0_679,refute_0_680]) ).

cnf(refute_0_682,plain,
    double_divide(X_86,double_divide(X_107,multiply(X_86,X))) = multiply(X_107,X),
    inference(resolve,[$cnf( $equal(multiply(X_107,double_divide(X_86,double_divide(X,X_86))),multiply(X_107,X)) )],[refute_0_653,refute_0_681]) ).

cnf(refute_0_683,plain,
    ( multiply(X,X_107) != double_divide(X_86,double_divide(X_107,multiply(X_86,X)))
    | double_divide(X_86,double_divide(X_107,multiply(X_86,X))) != multiply(X_107,X)
    | multiply(X,X_107) = multiply(X_107,X) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,X_107),multiply(X_107,X)) ),[0],$fot(double_divide(X_86,double_divide(X_107,multiply(X_86,X))))]]) ).

cnf(refute_0_684,plain,
    ( multiply(X,X_107) != double_divide(X_86,double_divide(X_107,multiply(X_86,X)))
    | multiply(X,X_107) = multiply(X_107,X) ),
    inference(resolve,[$cnf( $equal(double_divide(X_86,double_divide(X_107,multiply(X_86,X))),multiply(X_107,X)) )],[refute_0_682,refute_0_683]) ).

cnf(refute_0_685,plain,
    ( multiply(X,inverse(inverse(X_107))) != double_divide(X_86,double_divide(X_107,multiply(X_86,X)))
    | multiply(X,X_107) = multiply(X_107,X) ),
    inference(resolve,[$cnf( $equal(multiply(X,X_107),double_divide(X_86,double_divide(X_107,multiply(X_86,X)))) )],[refute_0_648,refute_0_684]) ).

cnf(refute_0_686,plain,
    multiply(X,X_107) = multiply(X_107,X),
    inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(X_107))),double_divide(X_86,double_divide(X_107,multiply(X_86,X)))) )],[refute_0_641,refute_0_685]) ).

cnf(refute_0_687,plain,
    ( multiply(X,X_107) != multiply(X_107,X)
    | multiply(X_107,X) = multiply(X,X_107) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,X_107))),bind(Y0,$fot(multiply(X_107,X)))]]) ).

cnf(refute_0_688,plain,
    multiply(X_107,X) = multiply(X,X_107),
    inference(resolve,[$cnf( $equal(multiply(X,X_107),multiply(X_107,X)) )],[refute_0_686,refute_0_687]) ).

cnf(refute_0_689,plain,
    multiply(multiply(X_111,X_112),identity) = multiply(identity,multiply(X_111,X_112)),
    inference(subst,[],[refute_0_688:[bind(X,$fot(identity)),bind(X_107,$fot(multiply(X_111,X_112)))]]) ).

cnf(refute_0_690,plain,
    ( multiply(multiply(X_111,X_112),identity) != multiply(identity,multiply(X_111,X_112))
    | multiply(identity,multiply(X_111,X_112)) != multiply(X_111,X_112)
    | multiply(multiply(X_111,X_112),identity) = multiply(X_111,X_112) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(multiply(multiply(X_111,X_112),identity))),bind(Y0,$fot(multiply(identity,multiply(X_111,X_112)))),bind(Z0,$fot(multiply(X_111,X_112)))]]) ).

cnf(refute_0_691,plain,
    ( multiply(identity,multiply(X_111,X_112)) != multiply(X_111,X_112)
    | multiply(multiply(X_111,X_112),identity) = multiply(X_111,X_112) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_111,X_112),identity),multiply(identity,multiply(X_111,X_112))) )],[refute_0_689,refute_0_690]) ).

cnf(refute_0_692,plain,
    multiply(multiply(X_111,X_112),identity) = multiply(X_111,X_112),
    inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_111,X_112)),multiply(X_111,X_112)) )],[refute_0_615,refute_0_691]) ).

cnf(refute_0_693,plain,
    ( multiply(multiply(X_111,X_112),identity) != multiply(X_111,X_112)
    | multiply(multiply(X_111,X_112),identity) != inverse(double_divide(X_111,X_112))
    | multiply(X_111,X_112) = inverse(double_divide(X_111,X_112)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_111,X_112),identity),inverse(double_divide(X_111,X_112))) ),[0],$fot(multiply(X_111,X_112))]]) ).

cnf(refute_0_694,plain,
    ( multiply(multiply(X_111,X_112),identity) != inverse(double_divide(X_111,X_112))
    | multiply(X_111,X_112) = inverse(double_divide(X_111,X_112)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_111,X_112),identity),multiply(X_111,X_112)) )],[refute_0_692,refute_0_693]) ).

cnf(refute_0_695,plain,
    inverse(double_divide(X_111,X_112)) = multiply(X_112,X_111),
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_112)),bind(Y,$fot(X_111))]]) ).

cnf(refute_0_696,plain,
    ( multiply(X_111,X_112) != inverse(double_divide(X_111,X_112))
    | inverse(double_divide(X_111,X_112)) != multiply(X_112,X_111)
    | multiply(X_111,X_112) = multiply(X_112,X_111) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_111,X_112),multiply(X_112,X_111)) ),[0],$fot(inverse(double_divide(X_111,X_112)))]]) ).

cnf(refute_0_697,plain,
    ( multiply(X_111,X_112) != inverse(double_divide(X_111,X_112))
    | multiply(X_111,X_112) = multiply(X_112,X_111) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_111,X_112)),multiply(X_112,X_111)) )],[refute_0_695,refute_0_696]) ).

cnf(refute_0_698,plain,
    ( multiply(multiply(X_111,X_112),identity) != inverse(double_divide(X_111,X_112))
    | multiply(X_111,X_112) = multiply(X_112,X_111) ),
    inference(resolve,[$cnf( $equal(multiply(X_111,X_112),inverse(double_divide(X_111,X_112))) )],[refute_0_694,refute_0_697]) ).

cnf(refute_0_699,plain,
    multiply(X_111,X_112) = multiply(X_112,X_111),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_111,X_112),identity),inverse(double_divide(X_111,X_112))) )],[refute_0_614,refute_0_698]) ).

cnf(refute_0_700,plain,
    ( multiply(X_111,X_112) != multiply(X_112,X_111)
    | multiply(X_112,X_111) = multiply(X_111,X_112) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_111,X_112))),bind(Y0,$fot(multiply(X_112,X_111)))]]) ).

cnf(refute_0_701,plain,
    multiply(X_112,X_111) = multiply(X_111,X_112),
    inference(resolve,[$cnf( $equal(multiply(X_111,X_112),multiply(X_112,X_111)) )],[refute_0_699,refute_0_700]) ).

cnf(refute_0_702,plain,
    multiply(c3,b3) = multiply(b3,c3),
    inference(subst,[],[refute_0_701:[bind(X_111,$fot(b3)),bind(X_112,$fot(c3))]]) ).

cnf(refute_0_703,plain,
    multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(c3,b3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(c3,b3)))]]) ).

cnf(refute_0_704,plain,
    ( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(c3,b3))
    | multiply(c3,b3) != multiply(b3,c3)
    | multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) ),[1,1],$fot(multiply(b3,c3))]]) ).

cnf(refute_0_705,plain,
    ( multiply(c3,b3) != multiply(b3,c3)
    | multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_703,refute_0_704]) ).

cnf(refute_0_706,plain,
    multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(multiply(c3,b3),multiply(b3,c3)) )],[refute_0_702,refute_0_705]) ).

cnf(refute_0_707,plain,
    multiply(inverse(double_divide(X_125,X_124)),X_48) = double_divide(inverse(X_48),double_divide(X_125,X_124)),
    inference(subst,[],[refute_0_419:[bind(X_36,$fot(double_divide(X_125,X_124)))]]) ).

cnf(refute_0_708,plain,
    multiply(multiply(X_108,X_109),multiply(double_divide(X_108,X_109),double_divide(X_122,double_divide(X_108,X_109)))) = double_divide(X_122,double_divide(X_108,X_109)),
    inference(subst,[],[refute_0_594:[bind(X_110,$fot(double_divide(X_122,double_divide(X_108,X_109))))]]) ).

cnf(refute_0_709,plain,
    inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),
    inference(subst,[],[refute_0_57:[bind(X,$fot(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))),bind(Y,$fot(X_10))]]) ).

cnf(refute_0_710,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) = inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))))]]) ).

cnf(refute_0_711,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) != inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))))
    | inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity))),bind(Y0,$fot(inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))))),bind(Z0,$fot(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)))]]) ).

cnf(refute_0_712,plain,
    ( inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity),inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))))) )],[refute_0_710,refute_0_711]) ).

cnf(refute_0_713,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) )],[refute_0_709,refute_0_712]) ).

cnf(refute_0_714,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)))]]) ).

cnf(refute_0_715,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_716,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))) )],[refute_0_714,refute_0_715]) ).

cnf(refute_0_717,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_134,refute_0_716]) ).

cnf(refute_0_718,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity))),bind(Z0,$fot(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)))]]) ).

cnf(refute_0_719,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity)) )],[refute_0_717,refute_0_718]) ).

cnf(refute_0_720,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) )],[refute_0_713,refute_0_719]) ).

cnf(refute_0_721,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10))]]) ).

cnf(refute_0_722,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) )],[refute_0_720,refute_0_721]) ).

cnf(refute_0_723,plain,
    multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_189,refute_0_722]) ).

cnf(refute_0_724,plain,
    inverse(inverse(X_10)) = X_10,
    inference(subst,[],[refute_0_152:[bind(X_16,$fot(X_10))]]) ).

cnf(refute_0_725,plain,
    double_divide(identity,inverse(X_10)) = inverse(inverse(X_10)),
    inference(subst,[],[refute_0_269:[bind(X_14,$fot(inverse(X_10)))]]) ).

cnf(refute_0_726,plain,
    ( double_divide(identity,inverse(X_10)) != inverse(inverse(X_10))
    | inverse(inverse(X_10)) != X_10
    | double_divide(identity,inverse(X_10)) = X_10 ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(identity,inverse(X_10)))),bind(Y0,$fot(inverse(inverse(X_10)))),bind(Z0,$fot(X_10))]]) ).

cnf(refute_0_727,plain,
    ( inverse(inverse(X_10)) != X_10
    | double_divide(identity,inverse(X_10)) = X_10 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_10)),inverse(inverse(X_10))) )],[refute_0_725,refute_0_726]) ).

cnf(refute_0_728,plain,
    double_divide(identity,inverse(X_10)) = X_10,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_724,refute_0_727]) ).

cnf(refute_0_729,plain,
    double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))]]) ).

cnf(refute_0_730,plain,
    ( double_divide(identity,inverse(X_10)) != X_10
    | double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))
    | double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) ),[1,1],$fot(X_10)]]) ).

cnf(refute_0_731,plain,
    ( double_divide(identity,inverse(X_10)) != X_10
    | double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) )],[refute_0_729,refute_0_730]) ).

cnf(refute_0_732,plain,
    double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),X_10),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_10)),X_10) )],[refute_0_728,refute_0_731]) ).

cnf(refute_0_733,plain,
    multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10))]]) ).

cnf(refute_0_734,plain,
    ( multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),X_10)
    | multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = multiply(double_divide(inverse(X_11),X_10),X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) ),[1,0],$fot(double_divide(inverse(X_11),X_10))]]) ).

cnf(refute_0_735,plain,
    ( double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),X_10)
    | multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = multiply(double_divide(inverse(X_11),X_10),X_10) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) )],[refute_0_733,refute_0_734]) ).

cnf(refute_0_736,plain,
    multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = multiply(double_divide(inverse(X_11),X_10),X_10),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),double_divide(inverse(X_11),X_10)) )],[refute_0_732,refute_0_735]) ).

cnf(refute_0_737,plain,
    ( multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) != X_11
    | multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) != multiply(double_divide(inverse(X_11),X_10),X_10)
    | multiply(double_divide(inverse(X_11),X_10),X_10) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),X_10),X_10))]]) ).

cnf(refute_0_738,plain,
    ( multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) != X_11
    | multiply(double_divide(inverse(X_11),X_10),X_10) = X_11 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),multiply(double_divide(inverse(X_11),X_10),X_10)) )],[refute_0_736,refute_0_737]) ).

cnf(refute_0_739,plain,
    multiply(double_divide(inverse(X_11),X_10),X_10) = X_11,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),X_11) )],[refute_0_723,refute_0_738]) ).

cnf(refute_0_740,plain,
    multiply(double_divide(inverse(inverse(X_16)),X_29),X_29) = inverse(X_16),
    inference(subst,[],[refute_0_739:[bind(X_10,$fot(X_29)),bind(X_11,$fot(inverse(X_16)))]]) ).

cnf(refute_0_741,plain,
    ( multiply(double_divide(inverse(inverse(X_16)),X_29),X_29) != inverse(X_16)
    | inverse(inverse(X_16)) != X_16
    | multiply(double_divide(X_16,X_29),X_29) = inverse(X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_16)),X_29),X_29),inverse(X_16)) ),[0,0,0],$fot(X_16)]]) ).

cnf(refute_0_742,plain,
    ( multiply(double_divide(inverse(inverse(X_16)),X_29),X_29) != inverse(X_16)
    | multiply(double_divide(X_16,X_29),X_29) = inverse(X_16) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_152,refute_0_741]) ).

cnf(refute_0_743,plain,
    multiply(double_divide(X_16,X_29),X_29) = inverse(X_16),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_16)),X_29),X_29),inverse(X_16)) )],[refute_0_740,refute_0_742]) ).

cnf(refute_0_744,plain,
    multiply(double_divide(X_16,double_divide(X_16,X_88)),double_divide(X_16,X_88)) = inverse(X_16),
    inference(subst,[],[refute_0_743:[bind(X_29,$fot(double_divide(X_16,X_88)))]]) ).

cnf(refute_0_745,plain,
    X_88 = double_divide(X_16,double_divide(X_16,X_88)),
    inference(subst,[],[refute_0_497:[bind(X_84,$fot(X_16)),bind(X_86,$fot(X_88))]]) ).

cnf(refute_0_746,plain,
    ( X_88 != double_divide(X_16,double_divide(X_16,X_88))
    | double_divide(X_16,double_divide(X_16,X_88)) = X_88 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(X_88)),bind(Y0,$fot(double_divide(X_16,double_divide(X_16,X_88))))]]) ).

cnf(refute_0_747,plain,
    double_divide(X_16,double_divide(X_16,X_88)) = X_88,
    inference(resolve,[$cnf( $equal(X_88,double_divide(X_16,double_divide(X_16,X_88))) )],[refute_0_745,refute_0_746]) ).

cnf(refute_0_748,plain,
    ( multiply(double_divide(X_16,double_divide(X_16,X_88)),double_divide(X_16,X_88)) != inverse(X_16)
    | double_divide(X_16,double_divide(X_16,X_88)) != X_88
    | multiply(X_88,double_divide(X_16,X_88)) = inverse(X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_16,double_divide(X_16,X_88)),double_divide(X_16,X_88)),inverse(X_16)) ),[0,0],$fot(X_88)]]) ).

cnf(refute_0_749,plain,
    ( multiply(double_divide(X_16,double_divide(X_16,X_88)),double_divide(X_16,X_88)) != inverse(X_16)
    | multiply(X_88,double_divide(X_16,X_88)) = inverse(X_16) ),
    inference(resolve,[$cnf( $equal(double_divide(X_16,double_divide(X_16,X_88)),X_88) )],[refute_0_747,refute_0_748]) ).

cnf(refute_0_750,plain,
    multiply(X_88,double_divide(X_16,X_88)) = inverse(X_16),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_16,double_divide(X_16,X_88)),double_divide(X_16,X_88)),inverse(X_16)) )],[refute_0_744,refute_0_749]) ).

cnf(refute_0_751,plain,
    multiply(double_divide(X_108,X_109),double_divide(X_122,double_divide(X_108,X_109))) = inverse(X_122),
    inference(subst,[],[refute_0_750:[bind(X_16,$fot(X_122)),bind(X_88,$fot(double_divide(X_108,X_109)))]]) ).

cnf(refute_0_752,plain,
    ( multiply(multiply(X_108,X_109),multiply(double_divide(X_108,X_109),double_divide(X_122,double_divide(X_108,X_109)))) != double_divide(X_122,double_divide(X_108,X_109))
    | multiply(double_divide(X_108,X_109),double_divide(X_122,double_divide(X_108,X_109))) != inverse(X_122)
    | multiply(multiply(X_108,X_109),inverse(X_122)) = double_divide(X_122,double_divide(X_108,X_109)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_108,X_109),multiply(double_divide(X_108,X_109),double_divide(X_122,double_divide(X_108,X_109)))),double_divide(X_122,double_divide(X_108,X_109))) ),[0,1],$fot(inverse(X_122))]]) ).

cnf(refute_0_753,plain,
    ( multiply(multiply(X_108,X_109),multiply(double_divide(X_108,X_109),double_divide(X_122,double_divide(X_108,X_109)))) != double_divide(X_122,double_divide(X_108,X_109))
    | multiply(multiply(X_108,X_109),inverse(X_122)) = double_divide(X_122,double_divide(X_108,X_109)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_108,X_109),double_divide(X_122,double_divide(X_108,X_109))),inverse(X_122)) )],[refute_0_751,refute_0_752]) ).

cnf(refute_0_754,plain,
    multiply(multiply(X_108,X_109),inverse(X_122)) = double_divide(X_122,double_divide(X_108,X_109)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_108,X_109),multiply(double_divide(X_108,X_109),double_divide(X_122,double_divide(X_108,X_109)))),double_divide(X_122,double_divide(X_108,X_109))) )],[refute_0_708,refute_0_753]) ).

cnf(refute_0_755,plain,
    multiply(inverse(double_divide(Y,X)),inverse(X_61)) = double_divide(X_61,double_divide(Y,X)),
    inference(subst,[],[refute_0_576:[bind(X_36,$fot(double_divide(Y,X))),bind(X_47,$fot(X_61))]]) ).

cnf(refute_0_756,plain,
    ( multiply(inverse(double_divide(Y,X)),inverse(X_61)) != double_divide(X_61,double_divide(Y,X))
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | multiply(multiply(X,Y),inverse(X_61)) = double_divide(X_61,double_divide(Y,X)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),inverse(X_61)),double_divide(X_61,double_divide(Y,X))) ),[0,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_757,plain,
    ( multiply(inverse(double_divide(Y,X)),inverse(X_61)) != double_divide(X_61,double_divide(Y,X))
    | multiply(multiply(X,Y),inverse(X_61)) = double_divide(X_61,double_divide(Y,X)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_57,refute_0_756]) ).

cnf(refute_0_758,plain,
    multiply(multiply(X,Y),inverse(X_61)) = double_divide(X_61,double_divide(Y,X)),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),inverse(X_61)),double_divide(X_61,double_divide(Y,X))) )],[refute_0_755,refute_0_757]) ).

cnf(refute_0_759,plain,
    multiply(multiply(X_108,X_109),inverse(X_122)) = double_divide(X_122,double_divide(X_109,X_108)),
    inference(subst,[],[refute_0_758:[bind(X,$fot(X_108)),bind(Y,$fot(X_109)),bind(X_61,$fot(X_122))]]) ).

cnf(refute_0_760,plain,
    ( multiply(multiply(X_108,X_109),inverse(X_122)) != double_divide(X_122,double_divide(X_108,X_109))
    | multiply(multiply(X_108,X_109),inverse(X_122)) != double_divide(X_122,double_divide(X_109,X_108))
    | double_divide(X_122,double_divide(X_109,X_108)) = double_divide(X_122,double_divide(X_108,X_109)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_108,X_109),inverse(X_122)),double_divide(X_122,double_divide(X_108,X_109))) ),[0],$fot(double_divide(X_122,double_divide(X_109,X_108)))]]) ).

cnf(refute_0_761,plain,
    ( multiply(multiply(X_108,X_109),inverse(X_122)) != double_divide(X_122,double_divide(X_108,X_109))
    | double_divide(X_122,double_divide(X_109,X_108)) = double_divide(X_122,double_divide(X_108,X_109)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_108,X_109),inverse(X_122)),double_divide(X_122,double_divide(X_109,X_108))) )],[refute_0_759,refute_0_760]) ).

cnf(refute_0_762,plain,
    double_divide(X_122,double_divide(X_109,X_108)) = double_divide(X_122,double_divide(X_108,X_109)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_108,X_109),inverse(X_122)),double_divide(X_122,double_divide(X_108,X_109))) )],[refute_0_754,refute_0_761]) ).

cnf(refute_0_763,plain,
    double_divide(inverse(X_48),double_divide(X_125,X_124)) = double_divide(inverse(X_48),double_divide(X_124,X_125)),
    inference(subst,[],[refute_0_762:[bind(X_108,$fot(X_124)),bind(X_109,$fot(X_125)),bind(X_122,$fot(inverse(X_48)))]]) ).

cnf(refute_0_764,plain,
    ( multiply(inverse(double_divide(X_125,X_124)),X_48) != double_divide(inverse(X_48),double_divide(X_125,X_124))
    | double_divide(inverse(X_48),double_divide(X_125,X_124)) != double_divide(inverse(X_48),double_divide(X_124,X_125))
    | multiply(inverse(double_divide(X_125,X_124)),X_48) = double_divide(inverse(X_48),double_divide(X_124,X_125)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(double_divide(X_125,X_124)),X_48),double_divide(inverse(X_48),double_divide(X_124,X_125))) ),[0],$fot(double_divide(inverse(X_48),double_divide(X_125,X_124)))]]) ).

cnf(refute_0_765,plain,
    ( multiply(inverse(double_divide(X_125,X_124)),X_48) != double_divide(inverse(X_48),double_divide(X_125,X_124))
    | multiply(inverse(double_divide(X_125,X_124)),X_48) = double_divide(inverse(X_48),double_divide(X_124,X_125)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),double_divide(X_125,X_124)),double_divide(inverse(X_48),double_divide(X_124,X_125))) )],[refute_0_763,refute_0_764]) ).

cnf(refute_0_766,plain,
    multiply(inverse(double_divide(X_125,X_124)),X_48) = double_divide(inverse(X_48),double_divide(X_124,X_125)),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_125,X_124)),X_48),double_divide(inverse(X_48),double_divide(X_125,X_124))) )],[refute_0_707,refute_0_765]) ).

cnf(refute_0_767,plain,
    inverse(double_divide(X_125,X_124)) = multiply(X_124,X_125),
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_124)),bind(Y,$fot(X_125))]]) ).

cnf(refute_0_768,plain,
    multiply(inverse(double_divide(X_125,X_124)),X_48) = multiply(inverse(double_divide(X_125,X_124)),X_48),
    introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_125,X_124)),X_48))]]) ).

cnf(refute_0_769,plain,
    ( multiply(inverse(double_divide(X_125,X_124)),X_48) != multiply(inverse(double_divide(X_125,X_124)),X_48)
    | inverse(double_divide(X_125,X_124)) != multiply(X_124,X_125)
    | multiply(inverse(double_divide(X_125,X_124)),X_48) = multiply(multiply(X_124,X_125),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_125,X_124)),X_48),multiply(inverse(double_divide(X_125,X_124)),X_48)) ),[1,0],$fot(multiply(X_124,X_125))]]) ).

cnf(refute_0_770,plain,
    ( inverse(double_divide(X_125,X_124)) != multiply(X_124,X_125)
    | multiply(inverse(double_divide(X_125,X_124)),X_48) = multiply(multiply(X_124,X_125),X_48) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_125,X_124)),X_48),multiply(inverse(double_divide(X_125,X_124)),X_48)) )],[refute_0_768,refute_0_769]) ).

cnf(refute_0_771,plain,
    multiply(inverse(double_divide(X_125,X_124)),X_48) = multiply(multiply(X_124,X_125),X_48),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_125,X_124)),multiply(X_124,X_125)) )],[refute_0_767,refute_0_770]) ).

cnf(refute_0_772,plain,
    ( multiply(inverse(double_divide(X_125,X_124)),X_48) != multiply(multiply(X_124,X_125),X_48)
    | multiply(inverse(double_divide(X_125,X_124)),X_48) != double_divide(inverse(X_48),double_divide(X_124,X_125))
    | multiply(multiply(X_124,X_125),X_48) = double_divide(inverse(X_48),double_divide(X_124,X_125)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_125,X_124)),X_48),double_divide(inverse(X_48),double_divide(X_124,X_125))) ),[0],$fot(multiply(multiply(X_124,X_125),X_48))]]) ).

cnf(refute_0_773,plain,
    ( multiply(inverse(double_divide(X_125,X_124)),X_48) != double_divide(inverse(X_48),double_divide(X_124,X_125))
    | multiply(multiply(X_124,X_125),X_48) = double_divide(inverse(X_48),double_divide(X_124,X_125)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_125,X_124)),X_48),multiply(multiply(X_124,X_125),X_48)) )],[refute_0_771,refute_0_772]) ).

cnf(refute_0_774,plain,
    inverse(double_divide(X_124,X_125)) = multiply(X_125,X_124),
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_125)),bind(Y,$fot(X_124))]]) ).

cnf(refute_0_775,plain,
    multiply(inverse(double_divide(X_124,X_125)),X_48) = multiply(inverse(double_divide(X_124,X_125)),X_48),
    introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_124,X_125)),X_48))]]) ).

cnf(refute_0_776,plain,
    ( multiply(inverse(double_divide(X_124,X_125)),X_48) != multiply(inverse(double_divide(X_124,X_125)),X_48)
    | inverse(double_divide(X_124,X_125)) != multiply(X_125,X_124)
    | multiply(inverse(double_divide(X_124,X_125)),X_48) = multiply(multiply(X_125,X_124),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_124,X_125)),X_48),multiply(inverse(double_divide(X_124,X_125)),X_48)) ),[1,0],$fot(multiply(X_125,X_124))]]) ).

cnf(refute_0_777,plain,
    ( inverse(double_divide(X_124,X_125)) != multiply(X_125,X_124)
    | multiply(inverse(double_divide(X_124,X_125)),X_48) = multiply(multiply(X_125,X_124),X_48) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_124,X_125)),X_48),multiply(inverse(double_divide(X_124,X_125)),X_48)) )],[refute_0_775,refute_0_776]) ).

cnf(refute_0_778,plain,
    multiply(inverse(double_divide(X_124,X_125)),X_48) = multiply(multiply(X_125,X_124),X_48),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_124,X_125)),multiply(X_125,X_124)) )],[refute_0_774,refute_0_777]) ).

cnf(refute_0_779,plain,
    ( multiply(inverse(X_36),X_48) != double_divide(inverse(X_48),X_36)
    | double_divide(inverse(X_48),X_36) = multiply(inverse(X_36),X_48) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_36),X_48))),bind(Y0,$fot(double_divide(inverse(X_48),X_36)))]]) ).

cnf(refute_0_780,plain,
    double_divide(inverse(X_48),X_36) = multiply(inverse(X_36),X_48),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_36),X_48),double_divide(inverse(X_48),X_36)) )],[refute_0_419,refute_0_779]) ).

cnf(refute_0_781,plain,
    double_divide(inverse(X_48),double_divide(X_124,X_125)) = multiply(inverse(double_divide(X_124,X_125)),X_48),
    inference(subst,[],[refute_0_780:[bind(X_36,$fot(double_divide(X_124,X_125)))]]) ).

cnf(refute_0_782,plain,
    ( multiply(inverse(double_divide(X_124,X_125)),X_48) != multiply(multiply(X_125,X_124),X_48)
    | double_divide(inverse(X_48),double_divide(X_124,X_125)) != multiply(inverse(double_divide(X_124,X_125)),X_48)
    | double_divide(inverse(X_48),double_divide(X_124,X_125)) = multiply(multiply(X_125,X_124),X_48) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(inverse(X_48),double_divide(X_124,X_125)))),bind(Y0,$fot(multiply(inverse(double_divide(X_124,X_125)),X_48))),bind(Z0,$fot(multiply(multiply(X_125,X_124),X_48)))]]) ).

cnf(refute_0_783,plain,
    ( multiply(inverse(double_divide(X_124,X_125)),X_48) != multiply(multiply(X_125,X_124),X_48)
    | double_divide(inverse(X_48),double_divide(X_124,X_125)) = multiply(multiply(X_125,X_124),X_48) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),double_divide(X_124,X_125)),multiply(inverse(double_divide(X_124,X_125)),X_48)) )],[refute_0_781,refute_0_782]) ).

cnf(refute_0_784,plain,
    double_divide(inverse(X_48),double_divide(X_124,X_125)) = multiply(multiply(X_125,X_124),X_48),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_124,X_125)),X_48),multiply(multiply(X_125,X_124),X_48)) )],[refute_0_778,refute_0_783]) ).

cnf(refute_0_785,plain,
    ( multiply(multiply(X_124,X_125),X_48) != double_divide(inverse(X_48),double_divide(X_124,X_125))
    | double_divide(inverse(X_48),double_divide(X_124,X_125)) != multiply(multiply(X_125,X_124),X_48)
    | multiply(multiply(X_124,X_125),X_48) = multiply(multiply(X_125,X_124),X_48) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_124,X_125),X_48),multiply(multiply(X_125,X_124),X_48)) ),[0],$fot(double_divide(inverse(X_48),double_divide(X_124,X_125)))]]) ).

cnf(refute_0_786,plain,
    ( multiply(multiply(X_124,X_125),X_48) != double_divide(inverse(X_48),double_divide(X_124,X_125))
    | multiply(multiply(X_124,X_125),X_48) = multiply(multiply(X_125,X_124),X_48) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),double_divide(X_124,X_125)),multiply(multiply(X_125,X_124),X_48)) )],[refute_0_784,refute_0_785]) ).

cnf(refute_0_787,plain,
    ( multiply(inverse(double_divide(X_125,X_124)),X_48) != double_divide(inverse(X_48),double_divide(X_124,X_125))
    | multiply(multiply(X_124,X_125),X_48) = multiply(multiply(X_125,X_124),X_48) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_124,X_125),X_48),double_divide(inverse(X_48),double_divide(X_124,X_125))) )],[refute_0_773,refute_0_786]) ).

cnf(refute_0_788,plain,
    multiply(multiply(X_124,X_125),X_48) = multiply(multiply(X_125,X_124),X_48),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_125,X_124)),X_48),double_divide(inverse(X_48),double_divide(X_124,X_125))) )],[refute_0_766,refute_0_787]) ).

cnf(refute_0_789,plain,
    multiply(X,multiply(X_144,X_143)) = inverse(double_divide(multiply(X_144,X_143),X)),
    inference(subst,[],[refute_0_8:[bind(Y,$fot(multiply(X_144,X_143)))]]) ).

cnf(refute_0_790,plain,
    inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) = double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),multiply(X_16,inverse(double_divide(X_84,X_86)))))),
    inference(subst,[],[refute_0_465:[bind(X,$fot(X_84)),bind(Y,$fot(multiply(X_16,inverse(double_divide(X_84,X_86))))),bind(Z,$fot(X_86))]]) ).

cnf(refute_0_791,plain,
    multiply(double_divide(X_84,X_86),multiply(X_16,inverse(double_divide(X_84,X_86)))) = X_16,
    inference(subst,[],[refute_0_489:[bind(X_51,$fot(double_divide(X_84,X_86)))]]) ).

cnf(refute_0_792,plain,
    ( multiply(double_divide(X_84,X_86),multiply(X_16,inverse(double_divide(X_84,X_86)))) != X_16
    | inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) != double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),multiply(X_16,inverse(double_divide(X_84,X_86))))))
    | inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) = double_divide(X_84,multiply(X_86,X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))),double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),multiply(X_16,inverse(double_divide(X_84,X_86))))))) ),[1,1,1],$fot(X_16)]]) ).

cnf(refute_0_793,plain,
    ( inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) != double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),multiply(X_16,inverse(double_divide(X_84,X_86))))))
    | inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) = double_divide(X_84,multiply(X_86,X_16)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_84,X_86),multiply(X_16,inverse(double_divide(X_84,X_86)))),X_16) )],[refute_0_791,refute_0_792]) ).

cnf(refute_0_794,plain,
    inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) = double_divide(X_84,multiply(X_86,X_16)),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))),double_divide(X_84,multiply(X_86,multiply(double_divide(X_84,X_86),multiply(X_16,inverse(double_divide(X_84,X_86))))))) )],[refute_0_790,refute_0_793]) ).

cnf(refute_0_795,plain,
    multiply(inverse(X_50),double_divide(Y,X)) = double_divide(inverse(double_divide(Y,X)),X_50),
    inference(subst,[],[refute_0_419:[bind(X_36,$fot(X_50)),bind(X_48,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_796,plain,
    ( multiply(inverse(X_50),double_divide(Y,X)) != double_divide(inverse(double_divide(Y,X)),X_50)
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | multiply(inverse(X_50),double_divide(Y,X)) = double_divide(multiply(X,Y),X_50) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),double_divide(Y,X)),double_divide(inverse(double_divide(Y,X)),X_50)) ),[1,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_797,plain,
    ( multiply(inverse(X_50),double_divide(Y,X)) != double_divide(inverse(double_divide(Y,X)),X_50)
    | multiply(inverse(X_50),double_divide(Y,X)) = double_divide(multiply(X,Y),X_50) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_57,refute_0_796]) ).

cnf(refute_0_798,plain,
    multiply(inverse(X_50),double_divide(Y,X)) = double_divide(multiply(X,Y),X_50),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_50),double_divide(Y,X)),double_divide(inverse(double_divide(Y,X)),X_50)) )],[refute_0_795,refute_0_797]) ).

cnf(refute_0_799,plain,
    multiply(inverse(X_16),double_divide(X_84,X_86)) = double_divide(multiply(X_86,X_84),X_16),
    inference(subst,[],[refute_0_798:[bind(X,$fot(X_86)),bind(Y,$fot(X_84)),bind(X_50,$fot(X_16))]]) ).

cnf(refute_0_800,plain,
    double_divide(inverse(double_divide(X_84,X_86)),X_16) = multiply(inverse(X_16),double_divide(X_84,X_86)),
    inference(subst,[],[refute_0_780:[bind(X_36,$fot(X_16)),bind(X_48,$fot(double_divide(X_84,X_86)))]]) ).

cnf(refute_0_801,plain,
    ( multiply(inverse(X_16),double_divide(X_84,X_86)) != double_divide(multiply(X_86,X_84),X_16)
    | double_divide(inverse(double_divide(X_84,X_86)),X_16) != multiply(inverse(X_16),double_divide(X_84,X_86))
    | double_divide(inverse(double_divide(X_84,X_86)),X_16) = double_divide(multiply(X_86,X_84),X_16) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(double_divide(inverse(double_divide(X_84,X_86)),X_16))),bind(Y0,$fot(multiply(inverse(X_16),double_divide(X_84,X_86)))),bind(Z0,$fot(double_divide(multiply(X_86,X_84),X_16)))]]) ).

cnf(refute_0_802,plain,
    ( multiply(inverse(X_16),double_divide(X_84,X_86)) != double_divide(multiply(X_86,X_84),X_16)
    | double_divide(inverse(double_divide(X_84,X_86)),X_16) = double_divide(multiply(X_86,X_84),X_16) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_84,X_86)),X_16),multiply(inverse(X_16),double_divide(X_84,X_86))) )],[refute_0_800,refute_0_801]) ).

cnf(refute_0_803,plain,
    double_divide(inverse(double_divide(X_84,X_86)),X_16) = double_divide(multiply(X_86,X_84),X_16),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_16),double_divide(X_84,X_86)),double_divide(multiply(X_86,X_84),X_16)) )],[refute_0_799,refute_0_802]) ).

cnf(refute_0_804,plain,
    inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) = double_divide(inverse(double_divide(X_84,X_86)),X_16),
    inference(subst,[],[refute_0_448:[bind(X,$fot(X_16)),bind(Y,$fot(inverse(double_divide(X_84,X_86))))]]) ).

cnf(refute_0_805,plain,
    ( double_divide(inverse(double_divide(X_84,X_86)),X_16) != double_divide(multiply(X_86,X_84),X_16)
    | inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) != double_divide(inverse(double_divide(X_84,X_86)),X_16)
    | inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) = double_divide(multiply(X_86,X_84),X_16) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))))),bind(Y0,$fot(double_divide(inverse(double_divide(X_84,X_86)),X_16))),bind(Z0,$fot(double_divide(multiply(X_86,X_84),X_16)))]]) ).

cnf(refute_0_806,plain,
    ( double_divide(inverse(double_divide(X_84,X_86)),X_16) != double_divide(multiply(X_86,X_84),X_16)
    | inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) = double_divide(multiply(X_86,X_84),X_16) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))),double_divide(inverse(double_divide(X_84,X_86)),X_16)) )],[refute_0_804,refute_0_805]) ).

cnf(refute_0_807,plain,
    inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) = double_divide(multiply(X_86,X_84),X_16),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_84,X_86)),X_16),double_divide(multiply(X_86,X_84),X_16)) )],[refute_0_803,refute_0_806]) ).

cnf(refute_0_808,plain,
    ( inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) != double_divide(X_84,multiply(X_86,X_16))
    | inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) != double_divide(multiply(X_86,X_84),X_16)
    | double_divide(multiply(X_86,X_84),X_16) = double_divide(X_84,multiply(X_86,X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))),double_divide(X_84,multiply(X_86,X_16))) ),[0],$fot(double_divide(multiply(X_86,X_84),X_16))]]) ).

cnf(refute_0_809,plain,
    ( inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))) != double_divide(X_84,multiply(X_86,X_16))
    | double_divide(multiply(X_86,X_84),X_16) = double_divide(X_84,multiply(X_86,X_16)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))),double_divide(multiply(X_86,X_84),X_16)) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    double_divide(multiply(X_86,X_84),X_16) = double_divide(X_84,multiply(X_86,X_16)),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_16,inverse(double_divide(X_84,X_86)))),double_divide(X_84,multiply(X_86,X_16))) )],[refute_0_794,refute_0_809]) ).

cnf(refute_0_811,plain,
    double_divide(multiply(X_144,X_143),X) = double_divide(X_143,multiply(X_144,X)),
    inference(subst,[],[refute_0_810:[bind(X_16,$fot(X)),bind(X_84,$fot(X_143)),bind(X_86,$fot(X_144))]]) ).

cnf(refute_0_812,plain,
    ( multiply(X,multiply(X_144,X_143)) != inverse(double_divide(multiply(X_144,X_143),X))
    | double_divide(multiply(X_144,X_143),X) != double_divide(X_143,multiply(X_144,X))
    | multiply(X,multiply(X_144,X_143)) = inverse(double_divide(X_143,multiply(X_144,X))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_144,X_143)),inverse(double_divide(multiply(X_144,X_143),X))) ),[1,0],$fot(double_divide(X_143,multiply(X_144,X)))]]) ).

cnf(refute_0_813,plain,
    ( multiply(X,multiply(X_144,X_143)) != inverse(double_divide(multiply(X_144,X_143),X))
    | multiply(X,multiply(X_144,X_143)) = inverse(double_divide(X_143,multiply(X_144,X))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_144,X_143),X),double_divide(X_143,multiply(X_144,X))) )],[refute_0_811,refute_0_812]) ).

cnf(refute_0_814,plain,
    multiply(X,multiply(X_144,X_143)) = inverse(double_divide(X_143,multiply(X_144,X))),
    inference(resolve,[$cnf( $equal(multiply(X,multiply(X_144,X_143)),inverse(double_divide(multiply(X_144,X_143),X))) )],[refute_0_789,refute_0_813]) ).

cnf(refute_0_815,plain,
    inverse(double_divide(X_143,multiply(X_144,X))) = multiply(multiply(X_144,X),X_143),
    inference(subst,[],[refute_0_57:[bind(X,$fot(multiply(X_144,X))),bind(Y,$fot(X_143))]]) ).

cnf(refute_0_816,plain,
    ( multiply(X,multiply(X_144,X_143)) != inverse(double_divide(X_143,multiply(X_144,X)))
    | inverse(double_divide(X_143,multiply(X_144,X))) != multiply(multiply(X_144,X),X_143)
    | multiply(X,multiply(X_144,X_143)) = multiply(multiply(X_144,X),X_143) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_144,X_143)),multiply(multiply(X_144,X),X_143)) ),[0],$fot(inverse(double_divide(X_143,multiply(X_144,X))))]]) ).

cnf(refute_0_817,plain,
    ( multiply(X,multiply(X_144,X_143)) != inverse(double_divide(X_143,multiply(X_144,X)))
    | multiply(X,multiply(X_144,X_143)) = multiply(multiply(X_144,X),X_143) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_143,multiply(X_144,X))),multiply(multiply(X_144,X),X_143)) )],[refute_0_815,refute_0_816]) ).

cnf(refute_0_818,plain,
    multiply(X,multiply(X_144,X_143)) = multiply(multiply(X_144,X),X_143),
    inference(resolve,[$cnf( $equal(multiply(X,multiply(X_144,X_143)),inverse(double_divide(X_143,multiply(X_144,X)))) )],[refute_0_814,refute_0_817]) ).

cnf(refute_0_819,plain,
    ( multiply(X,multiply(X_144,X_143)) != multiply(multiply(X_144,X),X_143)
    | multiply(multiply(X_144,X),X_143) = multiply(X,multiply(X_144,X_143)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(X_144,X_143)))),bind(Y0,$fot(multiply(multiply(X_144,X),X_143)))]]) ).

cnf(refute_0_820,plain,
    multiply(multiply(X_144,X),X_143) = multiply(X,multiply(X_144,X_143)),
    inference(resolve,[$cnf( $equal(multiply(X,multiply(X_144,X_143)),multiply(multiply(X_144,X),X_143)) )],[refute_0_818,refute_0_819]) ).

cnf(refute_0_821,plain,
    multiply(multiply(X_124,X_125),X_48) = multiply(X_125,multiply(X_124,X_48)),
    inference(subst,[],[refute_0_820:[bind(X,$fot(X_125)),bind(X_143,$fot(X_48)),bind(X_144,$fot(X_124))]]) ).

cnf(refute_0_822,plain,
    ( multiply(multiply(X_124,X_125),X_48) != multiply(X_125,multiply(X_124,X_48))
    | multiply(multiply(X_124,X_125),X_48) != multiply(multiply(X_125,X_124),X_48)
    | multiply(X_125,multiply(X_124,X_48)) = multiply(multiply(X_125,X_124),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_124,X_125),X_48),multiply(multiply(X_125,X_124),X_48)) ),[0],$fot(multiply(X_125,multiply(X_124,X_48)))]]) ).

cnf(refute_0_823,plain,
    ( multiply(multiply(X_124,X_125),X_48) != multiply(multiply(X_125,X_124),X_48)
    | multiply(X_125,multiply(X_124,X_48)) = multiply(multiply(X_125,X_124),X_48) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_124,X_125),X_48),multiply(X_125,multiply(X_124,X_48))) )],[refute_0_821,refute_0_822]) ).

cnf(refute_0_824,plain,
    multiply(multiply(X_125,X_124),X_48) = multiply(X_124,multiply(X_125,X_48)),
    inference(subst,[],[refute_0_820:[bind(X,$fot(X_124)),bind(X_143,$fot(X_48)),bind(X_144,$fot(X_125))]]) ).

cnf(refute_0_825,plain,
    ( multiply(X_125,multiply(X_124,X_48)) != multiply(multiply(X_125,X_124),X_48)
    | multiply(multiply(X_125,X_124),X_48) != multiply(X_124,multiply(X_125,X_48))
    | multiply(X_125,multiply(X_124,X_48)) = multiply(X_124,multiply(X_125,X_48)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_125,multiply(X_124,X_48)),multiply(X_124,multiply(X_125,X_48))) ),[0],$fot(multiply(multiply(X_125,X_124),X_48))]]) ).

cnf(refute_0_826,plain,
    ( multiply(X_125,multiply(X_124,X_48)) != multiply(multiply(X_125,X_124),X_48)
    | multiply(X_125,multiply(X_124,X_48)) = multiply(X_124,multiply(X_125,X_48)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_125,X_124),X_48),multiply(X_124,multiply(X_125,X_48))) )],[refute_0_824,refute_0_825]) ).

cnf(refute_0_827,plain,
    ( multiply(multiply(X_124,X_125),X_48) != multiply(multiply(X_125,X_124),X_48)
    | multiply(X_125,multiply(X_124,X_48)) = multiply(X_124,multiply(X_125,X_48)) ),
    inference(resolve,[$cnf( $equal(multiply(X_125,multiply(X_124,X_48)),multiply(multiply(X_125,X_124),X_48)) )],[refute_0_823,refute_0_826]) ).

cnf(refute_0_828,plain,
    multiply(X_125,multiply(X_124,X_48)) = multiply(X_124,multiply(X_125,X_48)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_124,X_125),X_48),multiply(multiply(X_125,X_124),X_48)) )],[refute_0_788,refute_0_827]) ).

cnf(refute_0_829,plain,
    ( multiply(X_125,multiply(X_124,X_48)) != multiply(X_124,multiply(X_125,X_48))
    | multiply(X_124,multiply(X_125,X_48)) = multiply(X_125,multiply(X_124,X_48)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_125,multiply(X_124,X_48)))),bind(Y0,$fot(multiply(X_124,multiply(X_125,X_48))))]]) ).

cnf(refute_0_830,plain,
    multiply(X_124,multiply(X_125,X_48)) = multiply(X_125,multiply(X_124,X_48)),
    inference(resolve,[$cnf( $equal(multiply(X_125,multiply(X_124,X_48)),multiply(X_124,multiply(X_125,X_48))) )],[refute_0_828,refute_0_829]) ).

cnf(refute_0_831,plain,
    multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(c3,b3)),
    inference(subst,[],[refute_0_830:[bind(X_124,$fot(c3)),bind(X_125,$fot(a3)),bind(X_48,$fot(b3))]]) ).

cnf(refute_0_832,plain,
    ( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
    | multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
    | multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(multiply(c3,multiply(a3,b3)))),bind(Y0,$fot(multiply(a3,multiply(c3,b3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).

cnf(refute_0_833,plain,
    ( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
    | multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
    inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_831,refute_0_832]) ).

cnf(refute_0_834,plain,
    multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_706,refute_0_833]) ).

cnf(refute_0_835,plain,
    ( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
    | multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_836,plain,
    ( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
    inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_834,refute_0_835]) ).

cnf(refute_0_837,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_836,refute_0_519]) ).

cnf(refute_0_838,plain,
    multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_839,plain,
    $false,
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_838,refute_0_837]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP099-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 12:47:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.00/1.18  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/1.18  
% 1.00/1.18  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.09/1.27  
%------------------------------------------------------------------------------