%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP101-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:34:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  121
%            Number of leaves      :  212
% Syntax   : Number of clauses     :  835 ( 410 unt;   0 nHn; 446 RR)
%            Number of literals    : 1461 (1460 equ; 635 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   : 1658 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),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,
    multiply(inverse(double_divide(Y,X)),double_divide(Y,X)) = inverse(identity),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_17,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_18,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_17]) ).

cnf(refute_0_19,plain,
    ( multiply(inverse(double_divide(Y,X)),double_divide(Y,X)) != inverse(identity)
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(identity)) ),[0,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_20,plain,
    ( multiply(inverse(double_divide(Y,X)),double_divide(Y,X)) != inverse(identity)
    | multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(identity)) )],[refute_0_16,refute_0_20]) ).

cnf(refute_0_22,plain,
    multiply(inverse(identity),inverse(inverse(inverse(X_15)))) = inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(inverse(inverse(inverse(X_15)))))]]) ).

cnf(refute_0_23,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(subst,[],[refute_0_4:[bind(X,$fot(identity))]]) ).

cnf(refute_0_24,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)))]]) ).

cnf(refute_0_25,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_26,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity))) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_23,refute_0_26]) ).

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

cnf(refute_0_29,plain,
    double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity)) = double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity)))]]) ).

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

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

cnf(refute_0_32,plain,
    double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity)) = double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z)),
    inference(resolve,[$cnf( $equal(double_divide(Z,identity),inverse(Z)) )],[refute_0_28,refute_0_31]) ).

cnf(refute_0_33,plain,
    double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))) = double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),
    introduced(tautology,[refl,[$fot(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))))]]) ).

cnf(refute_0_34,plain,
    ( double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))) != double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity)))
    | double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity)) != double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))
    | double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))) = double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity)))) ),[1,1],$fot(double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z)))]]) ).

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

cnf(refute_0_36,plain,
    double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))) = double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity)),double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))) )],[refute_0_32,refute_0_35]) ).

cnf(refute_0_37,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)))]]) ).

cnf(refute_0_38,plain,
    ( double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))) != double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z)))
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity))
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))))]]) ).

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

cnf(refute_0_40,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z)))) )],[refute_0_36,refute_0_39]) ).

cnf(refute_0_41,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_42,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_41]) ).

cnf(refute_0_43,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity))
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity))
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)))),bind(Y0,$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)))),bind(Z0,$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity))))]]) ).

cnf(refute_0_44,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity))
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity))) )],[refute_0_40,refute_0_43]) ).

cnf(refute_0_45,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity))) )],[refute_0_27,refute_0_44]) ).

cnf(refute_0_46,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) != Y
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity))
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)),Y) ),[0],$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)))]]) ).

cnf(refute_0_47,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) != Y
    | double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)) = Y ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity))) )],[refute_0_45,refute_0_46]) ).

cnf(refute_0_48,plain,
    double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)) = Y,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)),Y) )],[single_axiom,refute_0_47]) ).

cnf(refute_0_49,plain,
    double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_48:[bind(X,$fot(inverse(X_12))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_50,plain,
    identity = double_divide(X_12,inverse(X_12)),
    inference(subst,[],[identity:[bind(X,$fot(X_12))]]) ).

cnf(refute_0_51,plain,
    ( identity != double_divide(X_12,inverse(X_12))
    | double_divide(X_12,inverse(X_12)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_12,inverse(X_12))))]]) ).

cnf(refute_0_52,plain,
    double_divide(X_12,inverse(X_12)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_12,inverse(X_12))) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( double_divide(X_12,inverse(X_12)) != identity
    | double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) != X_11
    | double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).

cnf(refute_0_54,plain,
    ( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) != X_11
    | double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(X_12)),identity) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_49,refute_0_54]) ).

cnf(refute_0_56,plain,
    double_divide(X_11,identity) = inverse(X_11),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_57,plain,
    double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(double_divide(X_11,identity),inverse(X_12)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(X_12)))]]) ).

cnf(refute_0_58,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(double_divide(X_11,identity),inverse(X_12))
    | double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(double_divide(X_11,identity),inverse(X_12))) ),[1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_59,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(double_divide(X_11,identity),inverse(X_12))) )],[refute_0_57,refute_0_58]) ).

cnf(refute_0_60,plain,
    double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)),
    inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_56,refute_0_59]) ).

cnf(refute_0_61,plain,
    double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))))]]) ).

cnf(refute_0_62,plain,
    ( double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
    | double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))
    | double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(X_12)))]]) ).

cnf(refute_0_63,plain,
    ( double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
    | double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))) )],[refute_0_61,refute_0_62]) ).

cnf(refute_0_64,plain,
    double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(inverse(X_11),inverse(X_12))) )],[refute_0_60,refute_0_63]) ).

cnf(refute_0_65,plain,
    double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)))]]) ).

cnf(refute_0_66,plain,
    ( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))
    | double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
    | double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))))]]) ).

cnf(refute_0_67,plain,
    ( double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
    | double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) )],[refute_0_64,refute_0_67]) ).

cnf(refute_0_69,plain,
    ( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != X_11
    | double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))
    | double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)))]]) ).

cnf(refute_0_70,plain,
    ( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != X_11
    | double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_55,refute_0_70]) ).

cnf(refute_0_72,plain,
    double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) = X_13,
    inference(subst,[],[refute_0_71:[bind(X_11,$fot(X_13)),bind(X_12,$fot(inverse(X_13)))]]) ).

cnf(refute_0_73,plain,
    identity = double_divide(inverse(X_13),inverse(inverse(X_13))),
    inference(subst,[],[identity:[bind(X,$fot(inverse(X_13)))]]) ).

cnf(refute_0_74,plain,
    ( identity != double_divide(inverse(X_13),inverse(inverse(X_13)))
    | double_divide(inverse(X_13),inverse(inverse(X_13))) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(inverse(X_13),inverse(inverse(X_13)))))]]) ).

cnf(refute_0_75,plain,
    double_divide(inverse(X_13),inverse(inverse(X_13))) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_13),inverse(inverse(X_13)))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    ( double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
    | double_divide(inverse(X_13),inverse(inverse(X_13))) != identity
    | double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) ),[0,0,1],$fot(identity)]]) ).

cnf(refute_0_77,plain,
    ( double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
    | double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(inverse(X_13))),identity) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) )],[refute_0_72,refute_0_77]) ).

cnf(refute_0_79,plain,
    double_divide(inverse(inverse(X_13)),identity) = inverse(inverse(inverse(X_13))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(inverse(X_13))))]]) ).

cnf(refute_0_80,plain,
    double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)))]]) ).

cnf(refute_0_81,plain,
    ( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))
    | double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
    | double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))) ),[1,0],$fot(inverse(inverse(inverse(X_13))))]]) ).

cnf(refute_0_82,plain,
    ( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
    | double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) )],[refute_0_79,refute_0_82]) ).

cnf(refute_0_84,plain,
    ( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != X_13
    | double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),inverse(identity))
    | double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),X_13) ),[0],$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))]]) ).

cnf(refute_0_85,plain,
    ( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != X_13
    | double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),X_13) )],[refute_0_78,refute_0_85]) ).

cnf(refute_0_87,plain,
    double_divide(inverse(inverse(inverse(X_15))),inverse(identity)) = X_15,
    inference(subst,[],[refute_0_86:[bind(X_13,$fot(X_15))]]) ).

cnf(refute_0_88,plain,
    ( multiply(inverse(identity),inverse(inverse(inverse(X_15)))) != inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)))
    | double_divide(inverse(inverse(inverse(X_15))),inverse(identity)) != X_15
    | multiply(inverse(identity),inverse(inverse(inverse(X_15)))) = inverse(X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(X_15)))),inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)))) ),[1,0],$fot(X_15)]]) ).

cnf(refute_0_89,plain,
    ( multiply(inverse(identity),inverse(inverse(inverse(X_15)))) != inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)))
    | multiply(inverse(identity),inverse(inverse(inverse(X_15)))) = inverse(X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)),X_15) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    multiply(inverse(identity),inverse(inverse(inverse(X_15)))) = inverse(X_15),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(X_15)))),inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)))) )],[refute_0_22,refute_0_89]) ).

cnf(refute_0_91,plain,
    multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))) = inverse(inverse(inverse(identity))),
    inference(subst,[],[refute_0_90:[bind(X_15,$fot(inverse(inverse(identity))))]]) ).

cnf(refute_0_92,plain,
    identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
    inference(subst,[],[identity:[bind(X,$fot(double_divide(X_3,X_2)))]]) ).

cnf(refute_0_93,plain,
    multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
    inference(subst,[],[refute_0_8:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).

cnf(refute_0_94,plain,
    ( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
    | inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,X_3))),bind(Y0,$fot(inverse(double_divide(X_3,X_2))))]]) ).

cnf(refute_0_95,plain,
    inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    ( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
    | inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
    | identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).

cnf(refute_0_97,plain,
    ( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
    | identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_92,refute_0_97]) ).

cnf(refute_0_99,plain,
    identity = double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity))),
    inference(subst,[],[refute_0_98:[bind(X_2,$fot(inverse(identity))),bind(X_3,$fot(inverse(identity)))]]) ).

cnf(refute_0_100,plain,
    multiply(inverse(identity),inverse(identity)) = inverse(double_divide(inverse(identity),inverse(identity))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(inverse(identity)))]]) ).

cnf(refute_0_101,plain,
    double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_48:[bind(X,$fot(identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_102,plain,
    inverse(X_12) = double_divide(X_12,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_12))]]) ).

cnf(refute_0_103,plain,
    ( inverse(X_12) != double_divide(X_12,identity)
    | double_divide(X_12,identity) = inverse(X_12) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_12))),bind(Y0,$fot(double_divide(X_12,identity)))]]) ).

cnf(refute_0_104,plain,
    double_divide(X_12,identity) = inverse(X_12),
    inference(resolve,[$cnf( $equal(inverse(X_12),double_divide(X_12,identity)) )],[refute_0_102,refute_0_103]) ).

cnf(refute_0_105,plain,
    ( double_divide(X_12,identity) != inverse(X_12)
    | double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) != X_11
    | double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(inverse(X_12))]]) ).

cnf(refute_0_106,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) != X_11
    | double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_104,refute_0_105]) ).

cnf(refute_0_107,plain,
    double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_101,refute_0_106]) ).

cnf(refute_0_108,plain,
    double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)) = X_18,
    inference(subst,[],[refute_0_107:[bind(X_11,$fot(X_18)),bind(X_12,$fot(X_18))]]) ).

cnf(refute_0_109,plain,
    identity = double_divide(X_18,inverse(X_18)),
    inference(subst,[],[identity:[bind(X,$fot(X_18))]]) ).

cnf(refute_0_110,plain,
    ( identity != double_divide(X_18,inverse(X_18))
    | double_divide(X_18,inverse(X_18)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_18,inverse(X_18))))]]) ).

cnf(refute_0_111,plain,
    double_divide(X_18,inverse(X_18)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_18,inverse(X_18))) )],[refute_0_109,refute_0_110]) ).

cnf(refute_0_112,plain,
    ( double_divide(X_18,inverse(X_18)) != identity
    | double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)) != X_18
    | double_divide(double_divide(identity,double_divide(identity,inverse(X_18))),inverse(identity)) = X_18 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)),X_18) ),[0,0,1,0],$fot(identity)]]) ).

cnf(refute_0_113,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)) != X_18
    | double_divide(double_divide(identity,double_divide(identity,inverse(X_18))),inverse(identity)) = X_18 ),
    inference(resolve,[$cnf( $equal(double_divide(X_18,inverse(X_18)),identity) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(X_18))),inverse(identity)) = X_18,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)),X_18) )],[refute_0_108,refute_0_113]) ).

cnf(refute_0_115,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_114:[bind(X_18,$fot(identity))]]) ).

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

cnf(refute_0_117,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_118,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != identity
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(identity,identity),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(identity)]]) ).

cnf(refute_0_120,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != identity
    | double_divide(double_divide(identity,identity),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),identity) )],[refute_0_115,refute_0_120]) ).

cnf(refute_0_122,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(double_divide(identity,identity),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),inverse(identity)))]]) ).

cnf(refute_0_123,plain,
    ( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(double_divide(identity,identity),inverse(identity))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(double_divide(identity,identity),inverse(identity))) ),[1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_124,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(double_divide(identity,identity),inverse(identity))) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_23,refute_0_124]) ).

cnf(refute_0_126,plain,
    ( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(inverse(identity),inverse(identity))
    | double_divide(double_divide(identity,identity),inverse(identity)) != identity
    | double_divide(inverse(identity),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),identity) ),[0],$fot(double_divide(inverse(identity),inverse(identity)))]]) ).

cnf(refute_0_127,plain,
    ( double_divide(double_divide(identity,identity),inverse(identity)) != identity
    | double_divide(inverse(identity),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(inverse(identity),inverse(identity))) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    double_divide(inverse(identity),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),identity) )],[refute_0_121,refute_0_127]) ).

cnf(refute_0_129,plain,
    ( multiply(inverse(identity),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(identity)))
    | double_divide(inverse(identity),inverse(identity)) != identity
    | multiply(inverse(identity),inverse(identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(double_divide(inverse(identity),inverse(identity)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_130,plain,
    ( multiply(inverse(identity),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(identity)))
    | multiply(inverse(identity),inverse(identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    multiply(inverse(identity),inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(double_divide(inverse(identity),inverse(identity)))) )],[refute_0_100,refute_0_130]) ).

cnf(refute_0_132,plain,
    ( multiply(inverse(identity),inverse(identity)) != inverse(identity)
    | identity != double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))
    | identity = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))) ),[1,1],$fot(inverse(identity))]]) ).

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

cnf(refute_0_134,plain,
    identity = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))) )],[refute_0_99,refute_0_133]) ).

cnf(refute_0_135,plain,
    double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) = inverse(inverse(X_15)),
    inference(subst,[],[refute_0_71:[bind(X_11,$fot(inverse(inverse(X_15)))),bind(X_12,$fot(identity))]]) ).

cnf(refute_0_136,plain,
    ( double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) != inverse(inverse(X_15))
    | double_divide(inverse(inverse(inverse(X_15))),inverse(identity)) != X_15
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)),inverse(inverse(X_15))) ),[0,0,1],$fot(X_15)]]) ).

cnf(refute_0_137,plain,
    ( double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) != inverse(inverse(X_15))
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)),X_15) )],[refute_0_87,refute_0_136]) ).

cnf(refute_0_138,plain,
    double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)),inverse(inverse(X_15))) )],[refute_0_135,refute_0_137]) ).

cnf(refute_0_139,plain,
    double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(inverse(inverse(identity))),
    inference(subst,[],[refute_0_138:[bind(X_15,$fot(inverse(identity)))]]) ).

cnf(refute_0_140,plain,
    ( double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != inverse(inverse(inverse(identity)))
    | identity != double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))
    | identity = inverse(inverse(inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))) ),[1],$fot(inverse(inverse(inverse(identity))))]]) ).

cnf(refute_0_141,plain,
    ( identity != double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))
    | identity = inverse(inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(inverse(inverse(identity)))) )],[refute_0_139,refute_0_140]) ).

cnf(refute_0_142,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))) )],[refute_0_134,refute_0_141]) ).

cnf(refute_0_143,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | inverse(inverse(inverse(identity))) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(inverse(inverse(identity)))))]]) ).

cnf(refute_0_144,plain,
    inverse(inverse(inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(identity,inverse(inverse(inverse(identity)))) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    ( multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))) != inverse(inverse(inverse(identity)))
    | inverse(inverse(inverse(identity))) != identity
    | multiply(inverse(identity),inverse(inverse(identity))) = inverse(inverse(inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))),inverse(inverse(inverse(identity)))) ),[0,1,0,0],$fot(identity)]]) ).

cnf(refute_0_146,plain,
    ( multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))) != inverse(inverse(inverse(identity)))
    | multiply(inverse(identity),inverse(inverse(identity))) = inverse(inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_144,refute_0_145]) ).

cnf(refute_0_147,plain,
    multiply(inverse(identity),inverse(inverse(identity))) = inverse(inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))),inverse(inverse(inverse(identity)))) )],[refute_0_91,refute_0_146]) ).

cnf(refute_0_148,plain,
    multiply(inverse(identity),identity) = inverse(identity),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(identity))]]) ).

cnf(refute_0_149,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_114:[bind(X_18,$fot(inverse(inverse(identity))))]]) ).

cnf(refute_0_150,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) != inverse(inverse(identity))
    | inverse(inverse(inverse(identity))) != identity
    | double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)),inverse(inverse(identity))) ),[0,0,1,1],$fot(identity)]]) ).

cnf(refute_0_151,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) != inverse(inverse(identity))
    | double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(identity)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_144,refute_0_150]) ).

cnf(refute_0_152,plain,
    double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)),inverse(inverse(identity))) )],[refute_0_149,refute_0_151]) ).

cnf(refute_0_153,plain,
    double_divide(identity,double_divide(identity,identity)) = double_divide(identity,double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,identity)))]]) ).

cnf(refute_0_154,plain,
    ( double_divide(identity,double_divide(identity,identity)) != double_divide(identity,double_divide(identity,identity))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(identity,double_divide(identity,identity)) = double_divide(identity,inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).

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

cnf(refute_0_156,plain,
    double_divide(identity,double_divide(identity,identity)) = double_divide(identity,inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_23,refute_0_155]) ).

cnf(refute_0_157,plain,
    ( double_divide(identity,double_divide(identity,identity)) != double_divide(identity,inverse(identity))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,double_divide(identity,identity)) = identity ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(identity,double_divide(identity,identity)))),bind(Y0,$fot(double_divide(identity,inverse(identity)))),bind(Z0,$fot(identity))]]) ).

cnf(refute_0_158,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,double_divide(identity,identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),double_divide(identity,inverse(identity))) )],[refute_0_156,refute_0_157]) ).

cnf(refute_0_159,plain,
    double_divide(identity,double_divide(identity,identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_118,refute_0_158]) ).

cnf(refute_0_160,plain,
    double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)))]]) ).

cnf(refute_0_161,plain,
    ( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))
    | double_divide(identity,double_divide(identity,identity)) != identity
    | double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_162,plain,
    ( double_divide(identity,double_divide(identity,identity)) != identity
    | double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),identity) )],[refute_0_159,refute_0_162]) ).

cnf(refute_0_164,plain,
    ( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != double_divide(identity,inverse(identity))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)))),bind(Y0,$fot(double_divide(identity,inverse(identity)))),bind(Z0,$fot(identity))]]) ).

cnf(refute_0_165,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(identity,inverse(identity))) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_118,refute_0_165]) ).

cnf(refute_0_167,plain,
    ( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != identity
    | double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != inverse(inverse(identity))
    | identity = inverse(inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),inverse(inverse(identity))) ),[0],$fot(identity)]]) ).

cnf(refute_0_168,plain,
    ( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != inverse(inverse(identity))
    | identity = inverse(inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),identity) )],[refute_0_166,refute_0_167]) ).

cnf(refute_0_169,plain,
    identity = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),inverse(inverse(identity))) )],[refute_0_152,refute_0_168]) ).

cnf(refute_0_170,plain,
    ( identity != inverse(inverse(identity))
    | inverse(inverse(identity)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(inverse(identity))))]]) ).

cnf(refute_0_171,plain,
    inverse(inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,inverse(inverse(identity))) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    multiply(inverse(identity),inverse(inverse(identity))) = multiply(inverse(identity),inverse(inverse(identity))),
    introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(inverse(identity))))]]) ).

cnf(refute_0_173,plain,
    ( multiply(inverse(identity),inverse(inverse(identity))) != multiply(inverse(identity),inverse(inverse(identity)))
    | inverse(inverse(identity)) != identity
    | multiply(inverse(identity),inverse(inverse(identity))) = multiply(inverse(identity),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),multiply(inverse(identity),inverse(inverse(identity)))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_174,plain,
    ( inverse(inverse(identity)) != identity
    | multiply(inverse(identity),inverse(inverse(identity))) = multiply(inverse(identity),identity) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),multiply(inverse(identity),inverse(inverse(identity)))) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    multiply(inverse(identity),inverse(inverse(identity))) = multiply(inverse(identity),identity),
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_171,refute_0_174]) ).

cnf(refute_0_176,plain,
    ( multiply(inverse(identity),identity) != inverse(identity)
    | multiply(inverse(identity),inverse(inverse(identity))) != multiply(inverse(identity),identity)
    | multiply(inverse(identity),inverse(inverse(identity))) = inverse(identity) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(identity),inverse(inverse(identity))))),bind(Y0,$fot(multiply(inverse(identity),identity))),bind(Z0,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_178,plain,
    multiply(inverse(identity),inverse(inverse(identity))) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_148,refute_0_177]) ).

cnf(refute_0_179,plain,
    ( multiply(inverse(identity),inverse(inverse(identity))) != inverse(identity)
    | multiply(inverse(identity),inverse(inverse(identity))) != inverse(inverse(inverse(identity)))
    | inverse(identity) = inverse(inverse(inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity)))) ),[0],$fot(inverse(identity))]]) ).

cnf(refute_0_180,plain,
    ( multiply(inverse(identity),inverse(inverse(identity))) != inverse(inverse(inverse(identity)))
    | inverse(identity) = inverse(inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),inverse(identity)) )],[refute_0_178,refute_0_179]) ).

cnf(refute_0_181,plain,
    ( inverse(identity) != inverse(inverse(inverse(identity)))
    | inverse(inverse(inverse(identity))) != identity
    | inverse(identity) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(inverse(identity),identity) ),[0],$fot(inverse(inverse(inverse(identity))))]]) ).

cnf(refute_0_182,plain,
    ( inverse(identity) != inverse(inverse(inverse(identity)))
    | inverse(identity) = identity ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_144,refute_0_181]) ).

cnf(refute_0_183,plain,
    ( multiply(inverse(identity),inverse(inverse(identity))) != inverse(inverse(inverse(identity)))
    | inverse(identity) = identity ),
    inference(resolve,[$cnf( $equal(inverse(identity),inverse(inverse(inverse(identity)))) )],[refute_0_180,refute_0_182]) ).

cnf(refute_0_184,plain,
    inverse(identity) = identity,
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity)))) )],[refute_0_147,refute_0_183]) ).

cnf(refute_0_185,plain,
    ( multiply(multiply(X,Y),double_divide(Y,X)) != inverse(identity)
    | inverse(identity) != identity
    | multiply(multiply(X,Y),double_divide(Y,X)) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X,Y),double_divide(Y,X)),identity) ),[0],$fot(inverse(identity))]]) ).

cnf(refute_0_186,plain,
    ( multiply(multiply(X,Y),double_divide(Y,X)) != inverse(identity)
    | multiply(multiply(X,Y),double_divide(Y,X)) = identity ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_184,refute_0_185]) ).

cnf(refute_0_187,plain,
    multiply(multiply(X,Y),double_divide(Y,X)) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),double_divide(Y,X)),inverse(identity)) )],[refute_0_21,refute_0_186]) ).

cnf(refute_0_188,plain,
    multiply(multiply(multiply(inverse(Y),X_59),Y),double_divide(Y,multiply(inverse(Y),X_59))) = identity,
    inference(subst,[],[refute_0_187:[bind(X,$fot(multiply(inverse(Y),X_59)))]]) ).

cnf(refute_0_189,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),inverse(double_divide(Y,X)))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_48:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_190,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),inverse(double_divide(Y,X)))),inverse(identity)) != X_11
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),inverse(double_divide(Y,X)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(multiply(X,Y))]]) ).

cnf(refute_0_191,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),inverse(double_divide(Y,X)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_18,refute_0_190]) ).

cnf(refute_0_192,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),inverse(double_divide(Y,X)))),inverse(identity)),X_11) )],[refute_0_189,refute_0_191]) ).

cnf(refute_0_193,plain,
    inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)))) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10),
    inference(subst,[],[refute_0_18:[bind(X,$fot(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)))),bind(Y,$fot(X_10))]]) ).

cnf(refute_0_194,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) = inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)))))]]) ).

cnf(refute_0_195,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) != inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))))
    | inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)))) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity))),bind(Y0,$fot(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)))))),bind(Z0,$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)))]]) ).

cnf(refute_0_196,plain,
    ( inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)))) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity),inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))))) )],[refute_0_194,refute_0_195]) ).

cnf(refute_0_197,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)))),multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)) )],[refute_0_193,refute_0_196]) ).

cnf(refute_0_198,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)))]]) ).

cnf(refute_0_199,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_200,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity))) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_184,refute_0_200]) ).

cnf(refute_0_202,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity)
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity))),bind(Z0,$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)))]]) ).

cnf(refute_0_203,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity)) )],[refute_0_201,refute_0_202]) ).

cnf(refute_0_204,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),identity),multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)) )],[refute_0_197,refute_0_203]) ).

cnf(refute_0_205,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)
    | multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10))]]) ).

cnf(refute_0_206,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)) != X_11
    | multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)),multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10)) )],[refute_0_204,refute_0_205]) ).

cnf(refute_0_207,plain,
    multiply(double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y)),X_10) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(Y,X),X_10)),multiply(X,Y))),inverse(identity)),X_11) )],[refute_0_192,refute_0_206]) ).

cnf(refute_0_208,plain,
    multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),multiply(multiply(X,Y),double_divide(Y,X))),X_56) = X_57,
    inference(subst,[],[refute_0_207:[bind(X,$fot(multiply(X,Y))),bind(Y,$fot(double_divide(Y,X))),bind(X_10,$fot(X_56)),bind(X_11,$fot(X_57))]]) ).

cnf(refute_0_209,plain,
    ( multiply(multiply(X,Y),double_divide(Y,X)) != identity
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),multiply(multiply(X,Y),double_divide(Y,X))),X_56) != X_57
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) = X_57 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),multiply(multiply(X,Y),double_divide(Y,X))),X_56),X_57) ),[0,0,1],$fot(identity)]]) ).

cnf(refute_0_210,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),multiply(multiply(X,Y),double_divide(Y,X))),X_56) != X_57
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) = X_57 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),double_divide(Y,X)),identity) )],[refute_0_187,refute_0_209]) ).

cnf(refute_0_211,plain,
    multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) = X_57,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),multiply(multiply(X,Y),double_divide(Y,X))),X_56),X_57) )],[refute_0_208,refute_0_210]) ).

cnf(refute_0_212,plain,
    double_divide(inverse(inverse(inverse(double_divide(Y,X)))),inverse(identity)) = double_divide(Y,X),
    inference(subst,[],[refute_0_86:[bind(X_13,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_213,plain,
    ( double_divide(inverse(inverse(inverse(double_divide(Y,X)))),inverse(identity)) != double_divide(Y,X)
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) = double_divide(Y,X) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(Y,X)))),inverse(identity)),double_divide(Y,X)) ),[0,0,0,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_214,plain,
    ( double_divide(inverse(inverse(inverse(double_divide(Y,X)))),inverse(identity)) != double_divide(Y,X)
    | double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) = double_divide(Y,X) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_18,refute_0_213]) ).

cnf(refute_0_215,plain,
    double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) = double_divide(Y,X),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(Y,X)))),inverse(identity)),double_divide(Y,X)) )],[refute_0_212,refute_0_214]) ).

cnf(refute_0_216,plain,
    double_divide(inverse(inverse(multiply(X,Y))),identity) = inverse(inverse(inverse(multiply(X,Y)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(inverse(multiply(X,Y)))))]]) ).

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

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

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

cnf(refute_0_220,plain,
    double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) = double_divide(inverse(inverse(multiply(X,Y))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_184,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( double_divide(inverse(inverse(multiply(X,Y))),identity) != inverse(inverse(inverse(multiply(X,Y))))
    | double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) != double_divide(inverse(inverse(multiply(X,Y))),identity)
    | double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) = inverse(inverse(inverse(multiply(X,Y)))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(inverse(multiply(X,Y))),identity))),bind(Z0,$fot(inverse(inverse(inverse(multiply(X,Y))))))]]) ).

cnf(refute_0_222,plain,
    ( double_divide(inverse(inverse(multiply(X,Y))),identity) != inverse(inverse(inverse(multiply(X,Y))))
    | double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) = inverse(inverse(inverse(multiply(X,Y)))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)),double_divide(inverse(inverse(multiply(X,Y))),identity)) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) = inverse(inverse(inverse(multiply(X,Y)))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X,Y))),identity),inverse(inverse(inverse(multiply(X,Y))))) )],[refute_0_216,refute_0_222]) ).

cnf(refute_0_224,plain,
    ( double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) != double_divide(Y,X)
    | double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) != inverse(inverse(inverse(multiply(X,Y))))
    | inverse(inverse(inverse(multiply(X,Y)))) = double_divide(Y,X) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)),double_divide(Y,X)) ),[0],$fot(inverse(inverse(inverse(multiply(X,Y)))))]]) ).

cnf(refute_0_225,plain,
    ( double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)) != double_divide(Y,X)
    | inverse(inverse(inverse(multiply(X,Y)))) = double_divide(Y,X) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)),inverse(inverse(inverse(multiply(X,Y))))) )],[refute_0_223,refute_0_224]) ).

cnf(refute_0_226,plain,
    inverse(inverse(inverse(multiply(X,Y)))) = double_divide(Y,X),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X,Y))),inverse(identity)),double_divide(Y,X)) )],[refute_0_215,refute_0_225]) ).

cnf(refute_0_227,plain,
    inverse(inverse(inverse(multiply(X_33,identity)))) = double_divide(identity,X_33),
    inference(subst,[],[refute_0_226:[bind(X,$fot(X_33)),bind(Y,$fot(identity))]]) ).

cnf(refute_0_228,plain,
    inverse(double_divide(identity,X_15)) = multiply(X_15,identity),
    inference(subst,[],[refute_0_18:[bind(X,$fot(X_15)),bind(Y,$fot(identity))]]) ).

cnf(refute_0_229,plain,
    double_divide(double_divide(identity,X_15),identity) = inverse(double_divide(identity,X_15)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,X_15)))]]) ).

cnf(refute_0_230,plain,
    ( double_divide(double_divide(identity,X_15),identity) != inverse(double_divide(identity,X_15))
    | inverse(double_divide(identity,X_15)) != multiply(X_15,identity)
    | double_divide(double_divide(identity,X_15),identity) = multiply(X_15,identity) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(identity,X_15),identity))),bind(Y0,$fot(inverse(double_divide(identity,X_15)))),bind(Z0,$fot(multiply(X_15,identity)))]]) ).

cnf(refute_0_231,plain,
    ( inverse(double_divide(identity,X_15)) != multiply(X_15,identity)
    | double_divide(double_divide(identity,X_15),identity) = multiply(X_15,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),identity),inverse(double_divide(identity,X_15))) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    double_divide(double_divide(identity,X_15),identity) = multiply(X_15,identity),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_15)),multiply(X_15,identity)) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    double_divide(double_divide(identity,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_15),inverse(identity)))]]) ).

cnf(refute_0_234,plain,
    ( double_divide(double_divide(identity,X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(identity,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_235,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(identity,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(identity))) )],[refute_0_233,refute_0_234]) ).

cnf(refute_0_236,plain,
    double_divide(double_divide(identity,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_184,refute_0_235]) ).

cnf(refute_0_237,plain,
    double_divide(inverse(identity),X_15) = double_divide(inverse(identity),X_15),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),X_15))]]) ).

cnf(refute_0_238,plain,
    ( double_divide(inverse(identity),X_15) != double_divide(inverse(identity),X_15)
    | inverse(identity) != identity
    | double_divide(inverse(identity),X_15) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),X_15),double_divide(inverse(identity),X_15)) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_239,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),X_15) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_15),double_divide(inverse(identity),X_15)) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    double_divide(inverse(identity),X_15) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_184,refute_0_239]) ).

cnf(refute_0_241,plain,
    double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(inverse(identity),X_15),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),X_15),inverse(identity)))]]) ).

cnf(refute_0_242,plain,
    ( double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != double_divide(double_divide(inverse(identity),X_15),inverse(identity))
    | double_divide(inverse(identity),X_15) != double_divide(identity,X_15)
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),double_divide(double_divide(inverse(identity),X_15),inverse(identity))) ),[1,0],$fot(double_divide(identity,X_15))]]) ).

cnf(refute_0_243,plain,
    ( double_divide(inverse(identity),X_15) != double_divide(identity,X_15)
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),double_divide(double_divide(inverse(identity),X_15),inverse(identity))) )],[refute_0_241,refute_0_242]) ).

cnf(refute_0_244,plain,
    double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_15),double_divide(identity,X_15)) )],[refute_0_240,refute_0_243]) ).

cnf(refute_0_245,plain,
    ( double_divide(double_divide(identity,X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),identity)
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),inverse(identity))
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(inverse(identity),X_15),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,X_15),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(identity,X_15),identity)))]]) ).

cnf(refute_0_246,plain,
    ( double_divide(double_divide(identity,X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),identity)
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(identity))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),identity)) )],[refute_0_236,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( double_divide(double_divide(identity,X_15),identity) != multiply(X_15,identity)
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),identity)
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = multiply(X_15,identity) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(inverse(identity),X_15),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,X_15),identity))),bind(Z0,$fot(multiply(X_15,identity)))]]) ).

cnf(refute_0_249,plain,
    ( double_divide(double_divide(identity,X_15),identity) != multiply(X_15,identity)
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = multiply(X_15,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),double_divide(double_divide(identity,X_15),identity)) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = multiply(X_15,identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),identity),multiply(X_15,identity)) )],[refute_0_232,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != multiply(X_15,identity)
    | double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != inverse(inverse(X_15))
    | multiply(X_15,identity) = inverse(inverse(X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),inverse(inverse(X_15))) ),[0],$fot(multiply(X_15,identity))]]) ).

cnf(refute_0_252,plain,
    ( double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != inverse(inverse(X_15))
    | multiply(X_15,identity) = inverse(inverse(X_15)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),multiply(X_15,identity)) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    multiply(X_15,identity) = inverse(inverse(X_15)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),inverse(inverse(X_15))) )],[refute_0_138,refute_0_252]) ).

cnf(refute_0_254,plain,
    multiply(X_33,identity) = inverse(inverse(X_33)),
    inference(subst,[],[refute_0_253:[bind(X_15,$fot(X_33))]]) ).

cnf(refute_0_255,plain,
    ( multiply(X_33,identity) != inverse(inverse(X_33))
    | inverse(inverse(inverse(multiply(X_33,identity)))) != double_divide(identity,X_33)
    | inverse(inverse(inverse(inverse(inverse(X_33))))) = double_divide(identity,X_33) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(multiply(X_33,identity)))),double_divide(identity,X_33)) ),[0,0,0,0],$fot(inverse(inverse(X_33)))]]) ).

cnf(refute_0_256,plain,
    ( inverse(inverse(inverse(multiply(X_33,identity)))) != double_divide(identity,X_33)
    | inverse(inverse(inverse(inverse(inverse(X_33))))) = double_divide(identity,X_33) ),
    inference(resolve,[$cnf( $equal(multiply(X_33,identity),inverse(inverse(X_33))) )],[refute_0_254,refute_0_255]) ).

cnf(refute_0_257,plain,
    inverse(inverse(inverse(inverse(inverse(X_33))))) = double_divide(identity,X_33),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_33,identity)))),double_divide(identity,X_33)) )],[refute_0_227,refute_0_256]) ).

cnf(refute_0_258,plain,
    double_divide(inverse(inverse(inverse(X_13))),identity) = inverse(inverse(inverse(inverse(X_13)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(inverse(inverse(X_13)))))]]) ).

cnf(refute_0_259,plain,
    double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))]]) ).

cnf(refute_0_260,plain,
    ( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_261,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_184,refute_0_261]) ).

cnf(refute_0_263,plain,
    ( double_divide(inverse(inverse(inverse(X_13))),identity) != inverse(inverse(inverse(inverse(X_13))))
    | double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),identity)
    | double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(inverse(inverse(X_13))),identity))),bind(Z0,$fot(inverse(inverse(inverse(inverse(X_13))))))]]) ).

cnf(refute_0_264,plain,
    ( double_divide(inverse(inverse(inverse(X_13))),identity) != inverse(inverse(inverse(inverse(X_13))))
    | double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),identity)) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),identity),inverse(inverse(inverse(inverse(X_13))))) )],[refute_0_258,refute_0_264]) ).

cnf(refute_0_266,plain,
    ( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != X_13
    | double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != inverse(inverse(inverse(inverse(X_13))))
    | inverse(inverse(inverse(inverse(X_13)))) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),X_13) ),[0],$fot(inverse(inverse(inverse(inverse(X_13)))))]]) ).

cnf(refute_0_267,plain,
    ( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != X_13
    | inverse(inverse(inverse(inverse(X_13)))) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),inverse(inverse(inverse(inverse(X_13))))) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    inverse(inverse(inverse(inverse(X_13)))) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),X_13) )],[refute_0_86,refute_0_267]) ).

cnf(refute_0_269,plain,
    inverse(inverse(inverse(inverse(inverse(X_33))))) = inverse(X_33),
    inference(subst,[],[refute_0_268:[bind(X_13,$fot(inverse(X_33)))]]) ).

cnf(refute_0_270,plain,
    ( inverse(inverse(inverse(inverse(inverse(X_33))))) != double_divide(identity,X_33)
    | inverse(inverse(inverse(inverse(inverse(X_33))))) != inverse(X_33)
    | inverse(X_33) = double_divide(identity,X_33) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_33))))),double_divide(identity,X_33)) ),[0],$fot(inverse(X_33))]]) ).

cnf(refute_0_271,plain,
    ( inverse(inverse(inverse(inverse(inverse(X_33))))) != double_divide(identity,X_33)
    | inverse(X_33) = double_divide(identity,X_33) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_33))))),inverse(X_33)) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    inverse(X_33) = double_divide(identity,X_33),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_33))))),double_divide(identity,X_33)) )],[refute_0_257,refute_0_271]) ).

cnf(refute_0_273,plain,
    ( inverse(X_33) != double_divide(identity,X_33)
    | double_divide(identity,X_33) = inverse(X_33) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_33))),bind(Y0,$fot(double_divide(identity,X_33)))]]) ).

cnf(refute_0_274,plain,
    double_divide(identity,X_33) = inverse(X_33),
    inference(resolve,[$cnf( $equal(inverse(X_33),double_divide(identity,X_33)) )],[refute_0_272,refute_0_273]) ).

cnf(refute_0_275,plain,
    double_divide(identity,X_56) = inverse(X_56),
    inference(subst,[],[refute_0_274:[bind(X_33,$fot(X_56))]]) ).

cnf(refute_0_276,plain,
    ( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
    | double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).

cnf(refute_0_277,plain,
    double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_98,refute_0_276]) ).

cnf(refute_0_278,plain,
    double_divide(double_divide(Y,X),multiply(X,Y)) = identity,
    inference(subst,[],[refute_0_277:[bind(X_2,$fot(X)),bind(X_3,$fot(Y))]]) ).

cnf(refute_0_279,plain,
    double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) = double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))]]) ).

cnf(refute_0_280,plain,
    ( double_divide(double_divide(Y,X),multiply(X,Y)) != identity
    | double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) != double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)
    | double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) = double_divide(identity,X_56) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_281,plain,
    ( double_divide(double_divide(Y,X),multiply(X,Y)) != identity
    | double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) = double_divide(identity,X_56) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)) )],[refute_0_279,refute_0_280]) ).

cnf(refute_0_282,plain,
    double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) = double_divide(identity,X_56),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X,Y)),identity) )],[refute_0_278,refute_0_281]) ).

cnf(refute_0_283,plain,
    ( double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) != double_divide(identity,X_56)
    | double_divide(identity,X_56) != inverse(X_56)
    | double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) = inverse(X_56) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))),bind(Y0,$fot(double_divide(identity,X_56))),bind(Z0,$fot(inverse(X_56)))]]) ).

cnf(refute_0_284,plain,
    ( double_divide(identity,X_56) != inverse(X_56)
    | double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) = inverse(X_56) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),double_divide(identity,X_56)) )],[refute_0_282,refute_0_283]) ).

cnf(refute_0_285,plain,
    double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) = inverse(X_56),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_56),inverse(X_56)) )],[refute_0_275,refute_0_284]) ).

cnf(refute_0_286,plain,
    multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) = multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57),
    introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57))]]) ).

cnf(refute_0_287,plain,
    ( multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) != multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)
    | double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) != inverse(X_56)
    | multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) = multiply(inverse(X_56),X_57) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57),multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)) ),[1,0],$fot(inverse(X_56))]]) ).

cnf(refute_0_288,plain,
    ( double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56) != inverse(X_56)
    | multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) = multiply(inverse(X_56),X_57) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57),multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)) )],[refute_0_286,refute_0_287]) ).

cnf(refute_0_289,plain,
    multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) = multiply(inverse(X_56),X_57),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),inverse(X_56)) )],[refute_0_285,refute_0_288]) ).

cnf(refute_0_290,plain,
    inverse(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))) = multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57),
    inference(subst,[],[refute_0_18:[bind(X,$fot(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))),bind(Y,$fot(X_57))]]) ).

cnf(refute_0_291,plain,
    double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) = inverse(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))))]]) ).

cnf(refute_0_292,plain,
    ( double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) != inverse(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)))
    | inverse(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))) != multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)
    | double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) = multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity))),bind(Y0,$fot(inverse(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))))),bind(Z0,$fot(multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)))]]) ).

cnf(refute_0_293,plain,
    ( inverse(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))) != multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)
    | double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) = multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),inverse(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)))) )],[refute_0_291,refute_0_292]) ).

cnf(refute_0_294,plain,
    double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) = multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56))),multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)) )],[refute_0_290,refute_0_293]) ).

cnf(refute_0_295,plain,
    ( multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) != multiply(inverse(X_56),X_57)
    | double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) != multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)
    | double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) = multiply(inverse(X_56),X_57) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity))),bind(Y0,$fot(multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57))),bind(Z0,$fot(multiply(inverse(X_56),X_57)))]]) ).

cnf(refute_0_296,plain,
    ( multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57) != multiply(inverse(X_56),X_57)
    | double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) = multiply(inverse(X_56),X_57) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57)) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) = multiply(inverse(X_56),X_57),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56),X_57),multiply(inverse(X_56),X_57)) )],[refute_0_289,refute_0_296]) ).

cnf(refute_0_298,plain,
    multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) = multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56),
    introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56))]]) ).

cnf(refute_0_299,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) != multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56)
    | double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) != multiply(inverse(X_56),X_57)
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) = multiply(multiply(inverse(X_56),X_57),X_56) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56),multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56)) ),[1,0],$fot(multiply(inverse(X_56),X_57))]]) ).

cnf(refute_0_300,plain,
    ( double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity) != multiply(inverse(X_56),X_57)
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) = multiply(multiply(inverse(X_56),X_57),X_56) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56),multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56)) )],[refute_0_298,refute_0_299]) ).

cnf(refute_0_301,plain,
    multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) = multiply(multiply(inverse(X_56),X_57),X_56),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),multiply(inverse(X_56),X_57)) )],[refute_0_297,refute_0_300]) ).

cnf(refute_0_302,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) != X_57
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) != multiply(multiply(inverse(X_56),X_57),X_56)
    | multiply(multiply(inverse(X_56),X_57),X_56) = X_57 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56),X_57) ),[0],$fot(multiply(multiply(inverse(X_56),X_57),X_56))]]) ).

cnf(refute_0_303,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56) != X_57
    | multiply(multiply(inverse(X_56),X_57),X_56) = X_57 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56),multiply(multiply(inverse(X_56),X_57),X_56)) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    multiply(multiply(inverse(X_56),X_57),X_56) = X_57,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),X_56)),identity),X_56),X_57) )],[refute_0_211,refute_0_303]) ).

cnf(refute_0_305,plain,
    multiply(multiply(inverse(Y),X_59),Y) = X_59,
    inference(subst,[],[refute_0_304:[bind(X_56,$fot(Y)),bind(X_57,$fot(X_59))]]) ).

cnf(refute_0_306,plain,
    ( multiply(multiply(multiply(inverse(Y),X_59),Y),double_divide(Y,multiply(inverse(Y),X_59))) != identity
    | multiply(multiply(inverse(Y),X_59),Y) != X_59
    | multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(Y),X_59),Y),double_divide(Y,multiply(inverse(Y),X_59))),identity) ),[0,0],$fot(X_59)]]) ).

cnf(refute_0_307,plain,
    ( multiply(multiply(multiply(inverse(Y),X_59),Y),double_divide(Y,multiply(inverse(Y),X_59))) != identity
    | multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) = identity ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),X_59),Y),X_59) )],[refute_0_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(Y),X_59),Y),double_divide(Y,multiply(inverse(Y),X_59))),identity) )],[refute_0_188,refute_0_307]) ).

cnf(refute_0_309,plain,
    multiply(multiply(inverse(X_58),inverse(inverse(inverse(inverse(X_58))))),X_58) = inverse(inverse(inverse(inverse(X_58)))),
    inference(subst,[],[refute_0_304:[bind(X_56,$fot(X_58)),bind(X_57,$fot(inverse(inverse(inverse(inverse(X_58))))))]]) ).

cnf(refute_0_310,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_311,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_184,refute_0_310]) ).

cnf(refute_0_312,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_311]) ).

cnf(refute_0_313,plain,
    multiply(inverse(inverse(inverse(inverse(X_24)))),inverse(inverse(inverse(X_24)))) = identity,
    inference(subst,[],[refute_0_312:[bind(X_3,$fot(inverse(inverse(inverse(X_24)))))]]) ).

cnf(refute_0_314,plain,
    inverse(inverse(inverse(inverse(X_24)))) = X_24,
    inference(subst,[],[refute_0_268:[bind(X_13,$fot(X_24))]]) ).

cnf(refute_0_315,plain,
    ( multiply(inverse(inverse(inverse(inverse(X_24)))),inverse(inverse(inverse(X_24)))) != identity
    | inverse(inverse(inverse(inverse(X_24)))) != X_24
    | multiply(X_24,inverse(inverse(inverse(X_24)))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_24)))),inverse(inverse(inverse(X_24)))),identity) ),[0,0],$fot(X_24)]]) ).

cnf(refute_0_316,plain,
    ( multiply(inverse(inverse(inverse(inverse(X_24)))),inverse(inverse(inverse(X_24)))) != identity
    | multiply(X_24,inverse(inverse(inverse(X_24)))) = identity ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_24)))),X_24) )],[refute_0_314,refute_0_315]) ).

cnf(refute_0_317,plain,
    multiply(X_24,inverse(inverse(inverse(X_24)))) = identity,
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_24)))),inverse(inverse(inverse(X_24)))),identity) )],[refute_0_313,refute_0_316]) ).

cnf(refute_0_318,plain,
    multiply(inverse(X_58),inverse(inverse(inverse(inverse(X_58))))) = identity,
    inference(subst,[],[refute_0_317:[bind(X_24,$fot(inverse(X_58)))]]) ).

cnf(refute_0_319,plain,
    ( multiply(multiply(inverse(X_58),inverse(inverse(inverse(inverse(X_58))))),X_58) != inverse(inverse(inverse(inverse(X_58))))
    | multiply(inverse(X_58),inverse(inverse(inverse(inverse(X_58))))) != identity
    | multiply(identity,X_58) = inverse(inverse(inverse(inverse(X_58)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_58),inverse(inverse(inverse(inverse(X_58))))),X_58),inverse(inverse(inverse(inverse(X_58))))) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_320,plain,
    ( multiply(multiply(inverse(X_58),inverse(inverse(inverse(inverse(X_58))))),X_58) != inverse(inverse(inverse(inverse(X_58))))
    | multiply(identity,X_58) = inverse(inverse(inverse(inverse(X_58)))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_58),inverse(inverse(inverse(inverse(X_58))))),identity) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    multiply(identity,X_58) = inverse(inverse(inverse(inverse(X_58)))),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_58),inverse(inverse(inverse(inverse(X_58))))),X_58),inverse(inverse(inverse(inverse(X_58))))) )],[refute_0_309,refute_0_320]) ).

cnf(refute_0_322,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_323,plain,
    inverse(X_3) = double_divide(X_3,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_324,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_325,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_323,refute_0_324]) ).

cnf(refute_0_326,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_327,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_325,refute_0_326]) ).

cnf(refute_0_328,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_322,refute_0_327]) ).

cnf(refute_0_329,plain,
    multiply(identity,X_58) = inverse(inverse(X_58)),
    inference(subst,[],[refute_0_328:[bind(X_3,$fot(X_58))]]) ).

cnf(refute_0_330,plain,
    ( multiply(identity,X_58) != inverse(inverse(X_58))
    | multiply(identity,X_58) != inverse(inverse(inverse(inverse(X_58))))
    | inverse(inverse(X_58)) = inverse(inverse(inverse(inverse(X_58)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_58),inverse(inverse(inverse(inverse(X_58))))) ),[0],$fot(inverse(inverse(X_58)))]]) ).

cnf(refute_0_331,plain,
    ( multiply(identity,X_58) != inverse(inverse(inverse(inverse(X_58))))
    | inverse(inverse(X_58)) = inverse(inverse(inverse(inverse(X_58)))) ),
    inference(resolve,[$cnf( $equal(multiply(identity,X_58),inverse(inverse(X_58))) )],[refute_0_329,refute_0_330]) ).

cnf(refute_0_332,plain,
    inverse(inverse(inverse(inverse(X_58)))) = X_58,
    inference(subst,[],[refute_0_268:[bind(X_13,$fot(X_58))]]) ).

cnf(refute_0_333,plain,
    ( inverse(inverse(X_58)) != inverse(inverse(inverse(inverse(X_58))))
    | inverse(inverse(inverse(inverse(X_58)))) != X_58
    | inverse(inverse(X_58)) = X_58 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(inverse(inverse(X_58)),X_58) ),[0],$fot(inverse(inverse(inverse(inverse(X_58)))))]]) ).

cnf(refute_0_334,plain,
    ( inverse(inverse(X_58)) != inverse(inverse(inverse(inverse(X_58))))
    | inverse(inverse(X_58)) = X_58 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_58)))),X_58) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    ( multiply(identity,X_58) != inverse(inverse(inverse(inverse(X_58))))
    | inverse(inverse(X_58)) = X_58 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_58)),inverse(inverse(inverse(inverse(X_58))))) )],[refute_0_331,refute_0_334]) ).

cnf(refute_0_336,plain,
    inverse(inverse(X_58)) = X_58,
    inference(resolve,[$cnf( $equal(multiply(identity,X_58),inverse(inverse(inverse(inverse(X_58))))) )],[refute_0_321,refute_0_335]) ).

cnf(refute_0_337,plain,
    inverse(inverse(inverse(X_59))) = inverse(X_59),
    inference(subst,[],[refute_0_336:[bind(X_58,$fot(inverse(X_59)))]]) ).

cnf(refute_0_338,plain,
    inverse(inverse(inverse(multiply(multiply(inverse(Y),X_59),Y)))) = double_divide(Y,multiply(inverse(Y),X_59)),
    inference(subst,[],[refute_0_226:[bind(X,$fot(multiply(inverse(Y),X_59)))]]) ).

cnf(refute_0_339,plain,
    ( multiply(multiply(inverse(Y),X_59),Y) != X_59
    | inverse(inverse(inverse(multiply(multiply(inverse(Y),X_59),Y)))) != double_divide(Y,multiply(inverse(Y),X_59))
    | inverse(inverse(inverse(X_59))) = double_divide(Y,multiply(inverse(Y),X_59)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(multiply(multiply(inverse(Y),X_59),Y)))),double_divide(Y,multiply(inverse(Y),X_59))) ),[0,0,0,0],$fot(X_59)]]) ).

cnf(refute_0_340,plain,
    ( inverse(inverse(inverse(multiply(multiply(inverse(Y),X_59),Y)))) != double_divide(Y,multiply(inverse(Y),X_59))
    | inverse(inverse(inverse(X_59))) = double_divide(Y,multiply(inverse(Y),X_59)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),X_59),Y),X_59) )],[refute_0_305,refute_0_339]) ).

cnf(refute_0_341,plain,
    inverse(inverse(inverse(X_59))) = double_divide(Y,multiply(inverse(Y),X_59)),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(multiply(inverse(Y),X_59),Y)))),double_divide(Y,multiply(inverse(Y),X_59))) )],[refute_0_338,refute_0_340]) ).

cnf(refute_0_342,plain,
    ( inverse(inverse(inverse(X_59))) != double_divide(Y,multiply(inverse(Y),X_59))
    | double_divide(Y,multiply(inverse(Y),X_59)) = inverse(inverse(inverse(X_59))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(inverse(X_59))))),bind(Y0,$fot(double_divide(Y,multiply(inverse(Y),X_59))))]]) ).

cnf(refute_0_343,plain,
    double_divide(Y,multiply(inverse(Y),X_59)) = inverse(inverse(inverse(X_59))),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_59))),double_divide(Y,multiply(inverse(Y),X_59))) )],[refute_0_341,refute_0_342]) ).

cnf(refute_0_344,plain,
    ( double_divide(Y,multiply(inverse(Y),X_59)) != inverse(inverse(inverse(X_59)))
    | inverse(inverse(inverse(X_59))) != inverse(X_59)
    | double_divide(Y,multiply(inverse(Y),X_59)) = inverse(X_59) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(Y,multiply(inverse(Y),X_59)))),bind(Y0,$fot(inverse(inverse(inverse(X_59))))),bind(Z0,$fot(inverse(X_59)))]]) ).

cnf(refute_0_345,plain,
    ( inverse(inverse(inverse(X_59))) != inverse(X_59)
    | double_divide(Y,multiply(inverse(Y),X_59)) = inverse(X_59) ),
    inference(resolve,[$cnf( $equal(double_divide(Y,multiply(inverse(Y),X_59)),inverse(inverse(inverse(X_59)))) )],[refute_0_343,refute_0_344]) ).

cnf(refute_0_346,plain,
    double_divide(Y,multiply(inverse(Y),X_59)) = inverse(X_59),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_59))),inverse(X_59)) )],[refute_0_337,refute_0_345]) ).

cnf(refute_0_347,plain,
    multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) = multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))),
    introduced(tautology,[refl,[$fot(multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))))]]) ).

cnf(refute_0_348,plain,
    ( multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) != multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59)))
    | double_divide(Y,multiply(inverse(Y),X_59)) != inverse(X_59)
    | multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) = multiply(X_59,inverse(X_59)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))),multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59)))) ),[1,1],$fot(inverse(X_59))]]) ).

cnf(refute_0_349,plain,
    ( double_divide(Y,multiply(inverse(Y),X_59)) != inverse(X_59)
    | multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) = multiply(X_59,inverse(X_59)) ),
    inference(resolve,[$cnf( $equal(multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))),multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59)))) )],[refute_0_347,refute_0_348]) ).

cnf(refute_0_350,plain,
    multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) = multiply(X_59,inverse(X_59)),
    inference(resolve,[$cnf( $equal(double_divide(Y,multiply(inverse(Y),X_59)),inverse(X_59)) )],[refute_0_346,refute_0_349]) ).

cnf(refute_0_351,plain,
    ( multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) != multiply(X_59,inverse(X_59))
    | multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) != identity
    | multiply(X_59,inverse(X_59)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))),identity) ),[0],$fot(multiply(X_59,inverse(X_59)))]]) ).

cnf(refute_0_352,plain,
    ( multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))) != identity
    | multiply(X_59,inverse(X_59)) = identity ),
    inference(resolve,[$cnf( $equal(multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))),multiply(X_59,inverse(X_59))) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    multiply(X_59,inverse(X_59)) = identity,
    inference(resolve,[$cnf( $equal(multiply(X_59,double_divide(Y,multiply(inverse(Y),X_59))),identity) )],[refute_0_308,refute_0_352]) ).

cnf(refute_0_354,plain,
    multiply(a1,inverse(a1)) = identity,
    inference(subst,[],[refute_0_353:[bind(X_59,$fot(a1))]]) ).

cnf(refute_0_355,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_48:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(X_11)),bind(Z,$fot(double_divide(X_3,X_2)))]]) ).

cnf(refute_0_356,plain,
    ( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).

cnf(refute_0_357,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_277,refute_0_356]) ).

cnf(refute_0_358,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) )],[refute_0_355,refute_0_357]) ).

cnf(refute_0_359,plain,
    double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))))]]) ).

cnf(refute_0_360,plain,
    ( double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))
    | inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
    | double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).

cnf(refute_0_361,plain,
    ( inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
    | double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) )],[refute_0_359,refute_0_360]) ).

cnf(refute_0_362,plain,
    double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_95,refute_0_361]) ).

cnf(refute_0_363,plain,
    double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))]]) ).

cnf(refute_0_364,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))
    | double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) ),[1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_365,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),
    inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_56,refute_0_365]) ).

cnf(refute_0_367,plain,
    ( double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))
    | double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
    | double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))),bind(Y0,$fot(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))))),bind(Z0,$fot(double_divide(inverse(X_11),multiply(X_2,X_3))))]]) ).

cnf(refute_0_368,plain,
    ( double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
    | double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),multiply(X_2,X_3))) )],[refute_0_362,refute_0_368]) ).

cnf(refute_0_370,plain,
    double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),
    introduced(tautology,[refl,[$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))))]]) ).

cnf(refute_0_371,plain,
    ( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))
    | double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
    | double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))) ),[1,1],$fot(double_divide(inverse(X_11),multiply(X_2,X_3)))]]) ).

cnf(refute_0_372,plain,
    ( double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
    | double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))) )],[refute_0_370,refute_0_371]) ).

cnf(refute_0_373,plain,
    double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),multiply(X_2,X_3))) )],[refute_0_369,refute_0_372]) ).

cnf(refute_0_374,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)))]]) ).

cnf(refute_0_375,plain,
    ( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))) ),[1,0],$fot(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))]]) ).

cnf(refute_0_376,plain,
    ( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))) )],[refute_0_374,refute_0_375]) ).

cnf(refute_0_377,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) )],[refute_0_373,refute_0_376]) ).

cnf(refute_0_378,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))]]) ).

cnf(refute_0_379,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) )],[refute_0_377,refute_0_378]) ).

cnf(refute_0_380,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) )],[refute_0_358,refute_0_379]) ).

cnf(refute_0_381,plain,
    inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
    inference(subst,[],[refute_0_18:[bind(X,$fot(double_divide(inverse(X_11),multiply(X_2,X_3)))),bind(Y,$fot(multiply(X_2,X_3)))]]) ).

cnf(refute_0_382,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))))]]) ).

cnf(refute_0_383,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))
    | inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity))),bind(Y0,$fot(inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))))),bind(Z0,$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))))]]) ).

cnf(refute_0_384,plain,
    ( inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))) )],[refute_0_382,refute_0_383]) ).

cnf(refute_0_385,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_381,refute_0_384]) ).

cnf(refute_0_386,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))]]) ).

cnf(refute_0_387,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_388,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) )],[refute_0_386,refute_0_387]) ).

cnf(refute_0_389,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_184,refute_0_388]) ).

cnf(refute_0_390,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity)
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity))),bind(Z0,$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))))]]) ).

cnf(refute_0_391,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity)) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_385,refute_0_391]) ).

cnf(refute_0_393,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != X_11
    | double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
    | multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)))]]) ).

cnf(refute_0_394,plain,
    ( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != X_11
    | multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_392,refute_0_393]) ).

cnf(refute_0_395,plain,
    multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),X_11) )],[refute_0_380,refute_0_394]) ).

cnf(refute_0_396,plain,
    multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = X_11,
    inference(subst,[],[refute_0_395:[bind(X_2,$fot(double_divide(inverse(X_27),multiply(X_28,X_29)))),bind(X_3,$fot(multiply(X_28,X_29)))]]) ).

cnf(refute_0_397,plain,
    multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)) = X_27,
    inference(subst,[],[refute_0_395:[bind(X_11,$fot(X_27)),bind(X_2,$fot(X_28)),bind(X_3,$fot(X_29))]]) ).

cnf(refute_0_398,plain,
    ( multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != X_11
    | multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)) != X_27
    | multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),X_11) ),[0,0,1],$fot(X_27)]]) ).

cnf(refute_0_399,plain,
    ( multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != X_11
    | multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = X_11 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)),X_27) )],[refute_0_397,refute_0_398]) ).

cnf(refute_0_400,plain,
    multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = X_11,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),X_11) )],[refute_0_396,refute_0_399]) ).

cnf(refute_0_401,plain,
    multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))))]]) ).

cnf(refute_0_402,plain,
    ( multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)))
    | multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)) != X_27
    | multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = multiply(double_divide(inverse(X_11),X_27),X_27) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)))) ),[1,1],$fot(X_27)]]) ).

cnf(refute_0_403,plain,
    ( multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)) != X_27
    | multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = multiply(double_divide(inverse(X_11),X_27),X_27) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)))) )],[refute_0_401,refute_0_402]) ).

cnf(refute_0_404,plain,
    multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = multiply(double_divide(inverse(X_11),X_27),X_27),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)),X_27) )],[refute_0_397,refute_0_403]) ).

cnf(refute_0_405,plain,
    ( multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != X_11
    | multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != multiply(double_divide(inverse(X_11),X_27),X_27)
    | multiply(double_divide(inverse(X_11),X_27),X_27) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),X_27),X_27))]]) ).

cnf(refute_0_406,plain,
    ( multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != X_11
    | multiply(double_divide(inverse(X_11),X_27),X_27) = X_11 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_11),X_27),X_27)) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    multiply(double_divide(inverse(X_11),X_27),X_27) = X_11,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),X_11) )],[refute_0_400,refute_0_406]) ).

cnf(refute_0_408,plain,
    multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31) = inverse(inverse(inverse(X_13))),
    inference(subst,[],[refute_0_407:[bind(X_11,$fot(inverse(inverse(inverse(X_13))))),bind(X_27,$fot(X_31))]]) ).

cnf(refute_0_409,plain,
    ( multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31) != inverse(inverse(inverse(X_13)))
    | inverse(inverse(inverse(inverse(X_13)))) != X_13
    | multiply(double_divide(X_13,X_31),X_31) = inverse(inverse(inverse(X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31),inverse(inverse(inverse(X_13)))) ),[0,0,0],$fot(X_13)]]) ).

cnf(refute_0_410,plain,
    ( multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31) != inverse(inverse(inverse(X_13)))
    | multiply(double_divide(X_13,X_31),X_31) = inverse(inverse(inverse(X_13))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_268,refute_0_409]) ).

cnf(refute_0_411,plain,
    multiply(double_divide(X_13,X_31),X_31) = inverse(inverse(inverse(X_13))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31),inverse(inverse(inverse(X_13)))) )],[refute_0_408,refute_0_410]) ).

cnf(refute_0_412,plain,
    multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)) = inverse(inverse(inverse(X_13))),
    inference(subst,[],[refute_0_411:[bind(X_31,$fot(double_divide(X_45,X_13)))]]) ).

cnf(refute_0_413,plain,
    inverse(inverse(inverse(multiply(double_divide(X_42,Y),Y)))) = double_divide(Y,double_divide(X_42,Y)),
    inference(subst,[],[refute_0_226:[bind(X,$fot(double_divide(X_42,Y)))]]) ).

cnf(refute_0_414,plain,
    multiply(double_divide(X_42,Y),Y) = inverse(inverse(inverse(X_42))),
    inference(subst,[],[refute_0_411:[bind(X_13,$fot(X_42)),bind(X_31,$fot(Y))]]) ).

cnf(refute_0_415,plain,
    ( multiply(double_divide(X_42,Y),Y) != inverse(inverse(inverse(X_42)))
    | inverse(inverse(inverse(multiply(double_divide(X_42,Y),Y)))) != double_divide(Y,double_divide(X_42,Y))
    | inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) = double_divide(Y,double_divide(X_42,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(multiply(double_divide(X_42,Y),Y)))),double_divide(Y,double_divide(X_42,Y))) ),[0,0,0,0],$fot(inverse(inverse(inverse(X_42))))]]) ).

cnf(refute_0_416,plain,
    ( inverse(inverse(inverse(multiply(double_divide(X_42,Y),Y)))) != double_divide(Y,double_divide(X_42,Y))
    | inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) = double_divide(Y,double_divide(X_42,Y)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_42,Y),Y),inverse(inverse(inverse(X_42)))) )],[refute_0_414,refute_0_415]) ).

cnf(refute_0_417,plain,
    inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) = double_divide(Y,double_divide(X_42,Y)),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(double_divide(X_42,Y),Y)))),double_divide(Y,double_divide(X_42,Y))) )],[refute_0_413,refute_0_416]) ).

cnf(refute_0_418,plain,
    inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) = inverse(inverse(X_42)),
    inference(subst,[],[refute_0_268:[bind(X_13,$fot(inverse(inverse(X_42))))]]) ).

cnf(refute_0_419,plain,
    ( inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) != double_divide(Y,double_divide(X_42,Y))
    | inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) != inverse(inverse(X_42))
    | inverse(inverse(X_42)) = double_divide(Y,double_divide(X_42,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))),double_divide(Y,double_divide(X_42,Y))) ),[0],$fot(inverse(inverse(X_42)))]]) ).

cnf(refute_0_420,plain,
    ( inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) != double_divide(Y,double_divide(X_42,Y))
    | inverse(inverse(X_42)) = double_divide(Y,double_divide(X_42,Y)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))),inverse(inverse(X_42))) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    inverse(inverse(X_42)) = double_divide(Y,double_divide(X_42,Y)),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))),double_divide(Y,double_divide(X_42,Y))) )],[refute_0_417,refute_0_420]) ).

cnf(refute_0_422,plain,
    inverse(inverse(X_45)) = double_divide(X_13,double_divide(X_45,X_13)),
    inference(subst,[],[refute_0_421:[bind(Y,$fot(X_13)),bind(X_42,$fot(X_45))]]) ).

cnf(refute_0_423,plain,
    ( inverse(inverse(X_45)) != double_divide(X_13,double_divide(X_45,X_13))
    | double_divide(X_13,double_divide(X_45,X_13)) = inverse(inverse(X_45)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(X_45)))),bind(Y0,$fot(double_divide(X_13,double_divide(X_45,X_13))))]]) ).

cnf(refute_0_424,plain,
    double_divide(X_13,double_divide(X_45,X_13)) = inverse(inverse(X_45)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),double_divide(X_13,double_divide(X_45,X_13))) )],[refute_0_422,refute_0_423]) ).

cnf(refute_0_425,plain,
    ( multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)) != inverse(inverse(inverse(X_13)))
    | double_divide(X_13,double_divide(X_45,X_13)) != inverse(inverse(X_45))
    | multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)) = inverse(inverse(inverse(X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)),inverse(inverse(inverse(X_13)))) ),[0,0],$fot(inverse(inverse(X_45)))]]) ).

cnf(refute_0_426,plain,
    ( multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)) != inverse(inverse(inverse(X_13)))
    | multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)) = inverse(inverse(inverse(X_13))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(X_45,X_13)),inverse(inverse(X_45))) )],[refute_0_424,refute_0_425]) ).

cnf(refute_0_427,plain,
    multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)) = inverse(inverse(inverse(X_13))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)),inverse(inverse(inverse(X_13)))) )],[refute_0_412,refute_0_426]) ).

cnf(refute_0_428,plain,
    multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)) = inverse(inverse(inverse(X_48))),
    inference(subst,[],[refute_0_427:[bind(X_13,$fot(X_48)),bind(X_45,$fot(inverse(inverse(X_13))))]]) ).

cnf(refute_0_429,plain,
    ( multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)) != inverse(inverse(inverse(X_48)))
    | inverse(inverse(inverse(inverse(X_13)))) != X_13
    | multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = inverse(inverse(inverse(X_48))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)),inverse(inverse(inverse(X_48)))) ),[0,0],$fot(X_13)]]) ).

cnf(refute_0_430,plain,
    ( multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)) != inverse(inverse(inverse(X_48)))
    | multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = inverse(inverse(inverse(X_48))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_268,refute_0_429]) ).

cnf(refute_0_431,plain,
    multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = inverse(inverse(inverse(X_48))),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)),inverse(inverse(inverse(X_48)))) )],[refute_0_428,refute_0_430]) ).

cnf(refute_0_432,plain,
    multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)) = double_divide(X_45,X_13),
    inference(subst,[],[refute_0_304:[bind(X_56,$fot(inverse(X_45))),bind(X_57,$fot(double_divide(X_45,X_13)))]]) ).

cnf(refute_0_433,plain,
    ( multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)) != double_divide(X_45,X_13)
    | multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)) != inverse(inverse(inverse(X_13)))
    | multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = double_divide(X_45,X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)),double_divide(X_45,X_13)) ),[0,0],$fot(inverse(inverse(inverse(X_13))))]]) ).

cnf(refute_0_434,plain,
    ( multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)) != double_divide(X_45,X_13)
    | multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = double_divide(X_45,X_13) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(inverse(inverse(X_13)))) )],[refute_0_427,refute_0_433]) ).

cnf(refute_0_435,plain,
    multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = double_divide(X_45,X_13),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)),double_divide(X_45,X_13)) )],[refute_0_432,refute_0_434]) ).

cnf(refute_0_436,plain,
    inverse(inverse(inverse(X_13))) = inverse(X_13),
    inference(subst,[],[refute_0_336:[bind(X_58,$fot(inverse(X_13)))]]) ).

cnf(refute_0_437,plain,
    multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),
    introduced(tautology,[refl,[$fot(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)))]]) ).

cnf(refute_0_438,plain,
    ( multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) != multiply(inverse(inverse(inverse(X_13))),inverse(X_45))
    | inverse(inverse(inverse(X_13))) != inverse(X_13)
    | multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = multiply(inverse(X_13),inverse(X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),multiply(inverse(inverse(inverse(X_13))),inverse(X_45))) ),[1,0],$fot(inverse(X_13))]]) ).

cnf(refute_0_439,plain,
    ( inverse(inverse(inverse(X_13))) != inverse(X_13)
    | multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = multiply(inverse(X_13),inverse(X_45)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),multiply(inverse(inverse(inverse(X_13))),inverse(X_45))) )],[refute_0_437,refute_0_438]) ).

cnf(refute_0_440,plain,
    multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = multiply(inverse(X_13),inverse(X_45)),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_436,refute_0_439]) ).

cnf(refute_0_441,plain,
    ( multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) != multiply(inverse(X_13),inverse(X_45))
    | multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) != double_divide(X_45,X_13)
    | multiply(inverse(X_13),inverse(X_45)) = double_divide(X_45,X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),double_divide(X_45,X_13)) ),[0],$fot(multiply(inverse(X_13),inverse(X_45)))]]) ).

cnf(refute_0_442,plain,
    ( multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) != double_divide(X_45,X_13)
    | multiply(inverse(X_13),inverse(X_45)) = double_divide(X_45,X_13) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),multiply(inverse(X_13),inverse(X_45))) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    multiply(inverse(X_13),inverse(X_45)) = double_divide(X_45,X_13),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),double_divide(X_45,X_13)) )],[refute_0_435,refute_0_442]) ).

cnf(refute_0_444,plain,
    multiply(inverse(X_48),inverse(X_13)) = double_divide(X_13,X_48),
    inference(subst,[],[refute_0_443:[bind(X_13,$fot(X_48)),bind(X_45,$fot(X_13))]]) ).

cnf(refute_0_445,plain,
    multiply(multiply(inverse(X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)),X_58) = double_divide(inverse(inverse(inverse(X_58))),X_48),
    inference(subst,[],[refute_0_304:[bind(X_56,$fot(X_58)),bind(X_57,$fot(double_divide(inverse(inverse(inverse(X_58))),X_48)))]]) ).

cnf(refute_0_446,plain,
    multiply(inverse(X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)) = inverse(inverse(inverse(X_48))),
    inference(subst,[],[refute_0_431:[bind(X_13,$fot(inverse(X_58)))]]) ).

cnf(refute_0_447,plain,
    ( multiply(multiply(inverse(X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)),X_58) != double_divide(inverse(inverse(inverse(X_58))),X_48)
    | multiply(inverse(X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)) != inverse(inverse(inverse(X_48)))
    | multiply(inverse(inverse(inverse(X_48))),X_58) = double_divide(inverse(inverse(inverse(X_58))),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)),X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)) ),[0,0],$fot(inverse(inverse(inverse(X_48))))]]) ).

cnf(refute_0_448,plain,
    ( multiply(multiply(inverse(X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)),X_58) != double_divide(inverse(inverse(inverse(X_58))),X_48)
    | multiply(inverse(inverse(inverse(X_48))),X_58) = double_divide(inverse(inverse(inverse(X_58))),X_48) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)),inverse(inverse(inverse(X_48)))) )],[refute_0_446,refute_0_447]) ).

cnf(refute_0_449,plain,
    multiply(inverse(inverse(inverse(X_48))),X_58) = double_divide(inverse(inverse(inverse(X_58))),X_48),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)),X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)) )],[refute_0_445,refute_0_448]) ).

cnf(refute_0_450,plain,
    inverse(inverse(inverse(X_48))) = inverse(X_48),
    inference(subst,[],[refute_0_336:[bind(X_58,$fot(inverse(X_48)))]]) ).

cnf(refute_0_451,plain,
    multiply(inverse(inverse(inverse(X_48))),X_58) = multiply(inverse(inverse(inverse(X_48))),X_58),
    introduced(tautology,[refl,[$fot(multiply(inverse(inverse(inverse(X_48))),X_58))]]) ).

cnf(refute_0_452,plain,
    ( multiply(inverse(inverse(inverse(X_48))),X_58) != multiply(inverse(inverse(inverse(X_48))),X_58)
    | inverse(inverse(inverse(X_48))) != inverse(X_48)
    | multiply(inverse(inverse(inverse(X_48))),X_58) = multiply(inverse(X_48),X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_48))),X_58),multiply(inverse(inverse(inverse(X_48))),X_58)) ),[1,0],$fot(inverse(X_48))]]) ).

cnf(refute_0_453,plain,
    ( inverse(inverse(inverse(X_48))) != inverse(X_48)
    | multiply(inverse(inverse(inverse(X_48))),X_58) = multiply(inverse(X_48),X_58) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_48))),X_58),multiply(inverse(inverse(inverse(X_48))),X_58)) )],[refute_0_451,refute_0_452]) ).

cnf(refute_0_454,plain,
    multiply(inverse(inverse(inverse(X_48))),X_58) = multiply(inverse(X_48),X_58),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_48))),inverse(X_48)) )],[refute_0_450,refute_0_453]) ).

cnf(refute_0_455,plain,
    ( multiply(inverse(inverse(inverse(X_48))),X_58) != multiply(inverse(X_48),X_58)
    | multiply(inverse(inverse(inverse(X_48))),X_58) != double_divide(inverse(inverse(inverse(X_58))),X_48)
    | multiply(inverse(X_48),X_58) = double_divide(inverse(inverse(inverse(X_58))),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_48))),X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)) ),[0],$fot(multiply(inverse(X_48),X_58))]]) ).

cnf(refute_0_456,plain,
    ( multiply(inverse(inverse(inverse(X_48))),X_58) != double_divide(inverse(inverse(inverse(X_58))),X_48)
    | multiply(inverse(X_48),X_58) = double_divide(inverse(inverse(inverse(X_58))),X_48) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_48))),X_58),multiply(inverse(X_48),X_58)) )],[refute_0_454,refute_0_455]) ).

cnf(refute_0_457,plain,
    inverse(inverse(inverse(X_58))) = inverse(X_58),
    inference(subst,[],[refute_0_336:[bind(X_58,$fot(inverse(X_58)))]]) ).

cnf(refute_0_458,plain,
    double_divide(inverse(inverse(inverse(X_58))),X_48) = double_divide(inverse(inverse(inverse(X_58))),X_48),
    introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(inverse(X_58))),X_48))]]) ).

cnf(refute_0_459,plain,
    ( double_divide(inverse(inverse(inverse(X_58))),X_48) != double_divide(inverse(inverse(inverse(X_58))),X_48)
    | inverse(inverse(inverse(X_58))) != inverse(X_58)
    | double_divide(inverse(inverse(inverse(X_58))),X_48) = double_divide(inverse(X_58),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_58))),X_48),double_divide(inverse(inverse(inverse(X_58))),X_48)) ),[1,0],$fot(inverse(X_58))]]) ).

cnf(refute_0_460,plain,
    ( inverse(inverse(inverse(X_58))) != inverse(X_58)
    | double_divide(inverse(inverse(inverse(X_58))),X_48) = double_divide(inverse(X_58),X_48) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_58))),X_48),double_divide(inverse(inverse(inverse(X_58))),X_48)) )],[refute_0_458,refute_0_459]) ).

cnf(refute_0_461,plain,
    double_divide(inverse(inverse(inverse(X_58))),X_48) = double_divide(inverse(X_58),X_48),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_58))),inverse(X_58)) )],[refute_0_457,refute_0_460]) ).

cnf(refute_0_462,plain,
    ( multiply(inverse(X_48),X_58) != double_divide(inverse(inverse(inverse(X_58))),X_48)
    | double_divide(inverse(inverse(inverse(X_58))),X_48) != double_divide(inverse(X_58),X_48)
    | multiply(inverse(X_48),X_58) = double_divide(inverse(X_58),X_48) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_48),X_58),double_divide(inverse(X_58),X_48)) ),[0],$fot(double_divide(inverse(inverse(inverse(X_58))),X_48))]]) ).

cnf(refute_0_463,plain,
    ( multiply(inverse(X_48),X_58) != double_divide(inverse(inverse(inverse(X_58))),X_48)
    | multiply(inverse(X_48),X_58) = double_divide(inverse(X_58),X_48) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_58))),X_48),double_divide(inverse(X_58),X_48)) )],[refute_0_461,refute_0_462]) ).

cnf(refute_0_464,plain,
    ( multiply(inverse(inverse(inverse(X_48))),X_58) != double_divide(inverse(inverse(inverse(X_58))),X_48)
    | multiply(inverse(X_48),X_58) = double_divide(inverse(X_58),X_48) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_48),X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)) )],[refute_0_456,refute_0_463]) ).

cnf(refute_0_465,plain,
    multiply(inverse(X_48),X_58) = double_divide(inverse(X_58),X_48),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_48))),X_58),double_divide(inverse(inverse(inverse(X_58))),X_48)) )],[refute_0_449,refute_0_464]) ).

cnf(refute_0_466,plain,
    ( multiply(inverse(X_48),X_58) != double_divide(inverse(X_58),X_48)
    | double_divide(inverse(X_58),X_48) = multiply(inverse(X_48),X_58) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_48),X_58))),bind(Y0,$fot(double_divide(inverse(X_58),X_48)))]]) ).

cnf(refute_0_467,plain,
    double_divide(inverse(X_58),X_48) = multiply(inverse(X_48),X_58),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_48),X_58),double_divide(inverse(X_58),X_48)) )],[refute_0_465,refute_0_466]) ).

cnf(refute_0_468,plain,
    double_divide(inverse(inverse(X_13)),X_48) = multiply(inverse(X_48),inverse(X_13)),
    inference(subst,[],[refute_0_467:[bind(X_58,$fot(inverse(X_13)))]]) ).

cnf(refute_0_469,plain,
    ( multiply(inverse(X_48),inverse(X_13)) != double_divide(X_13,X_48)
    | double_divide(inverse(inverse(X_13)),X_48) != multiply(inverse(X_48),inverse(X_13))
    | double_divide(inverse(inverse(X_13)),X_48) = double_divide(X_13,X_48) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(inverse(X_13)),X_48))),bind(Y0,$fot(multiply(inverse(X_48),inverse(X_13)))),bind(Z0,$fot(double_divide(X_13,X_48)))]]) ).

cnf(refute_0_470,plain,
    ( multiply(inverse(X_48),inverse(X_13)) != double_divide(X_13,X_48)
    | double_divide(inverse(inverse(X_13)),X_48) = double_divide(X_13,X_48) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),X_48),multiply(inverse(X_48),inverse(X_13))) )],[refute_0_468,refute_0_469]) ).

cnf(refute_0_471,plain,
    double_divide(inverse(inverse(X_13)),X_48) = double_divide(X_13,X_48),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_48),inverse(X_13)),double_divide(X_13,X_48)) )],[refute_0_444,refute_0_470]) ).

cnf(refute_0_472,plain,
    multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)),
    introduced(tautology,[refl,[$fot(multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)))]]) ).

cnf(refute_0_473,plain,
    ( multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) != multiply(X_13,double_divide(inverse(inverse(X_13)),X_48))
    | double_divide(inverse(inverse(X_13)),X_48) != double_divide(X_13,X_48)
    | multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = multiply(X_13,double_divide(X_13,X_48)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)),multiply(X_13,double_divide(inverse(inverse(X_13)),X_48))) ),[1,1],$fot(double_divide(X_13,X_48))]]) ).

cnf(refute_0_474,plain,
    ( double_divide(inverse(inverse(X_13)),X_48) != double_divide(X_13,X_48)
    | multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = multiply(X_13,double_divide(X_13,X_48)) ),
    inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)),multiply(X_13,double_divide(inverse(inverse(X_13)),X_48))) )],[refute_0_472,refute_0_473]) ).

cnf(refute_0_475,plain,
    multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = multiply(X_13,double_divide(X_13,X_48)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),X_48),double_divide(X_13,X_48)) )],[refute_0_471,refute_0_474]) ).

cnf(refute_0_476,plain,
    ( multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) != multiply(X_13,double_divide(X_13,X_48))
    | multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) != inverse(inverse(inverse(X_48)))
    | multiply(X_13,double_divide(X_13,X_48)) = inverse(inverse(inverse(X_48))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)),inverse(inverse(inverse(X_48)))) ),[0],$fot(multiply(X_13,double_divide(X_13,X_48)))]]) ).

cnf(refute_0_477,plain,
    ( multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) != inverse(inverse(inverse(X_48)))
    | multiply(X_13,double_divide(X_13,X_48)) = inverse(inverse(inverse(X_48))) ),
    inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)),multiply(X_13,double_divide(X_13,X_48))) )],[refute_0_475,refute_0_476]) ).

cnf(refute_0_478,plain,
    ( multiply(X_13,double_divide(X_13,X_48)) != inverse(inverse(inverse(X_48)))
    | inverse(inverse(inverse(X_48))) != inverse(X_48)
    | multiply(X_13,double_divide(X_13,X_48)) = inverse(X_48) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,double_divide(X_13,X_48)),inverse(X_48)) ),[0],$fot(inverse(inverse(inverse(X_48))))]]) ).

cnf(refute_0_479,plain,
    ( multiply(X_13,double_divide(X_13,X_48)) != inverse(inverse(inverse(X_48)))
    | multiply(X_13,double_divide(X_13,X_48)) = inverse(X_48) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_48))),inverse(X_48)) )],[refute_0_450,refute_0_478]) ).

cnf(refute_0_480,plain,
    ( multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) != inverse(inverse(inverse(X_48)))
    | multiply(X_13,double_divide(X_13,X_48)) = inverse(X_48) ),
    inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(X_13,X_48)),inverse(inverse(inverse(X_48)))) )],[refute_0_477,refute_0_479]) ).

cnf(refute_0_481,plain,
    multiply(X_13,double_divide(X_13,X_48)) = inverse(X_48),
    inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)),inverse(inverse(inverse(X_48)))) )],[refute_0_431,refute_0_480]) ).

cnf(refute_0_482,plain,
    multiply(X_13,double_divide(X_13,double_divide(X_13,X_89))) = inverse(double_divide(X_13,X_89)),
    inference(subst,[],[refute_0_481:[bind(X_48,$fot(double_divide(X_13,X_89)))]]) ).

cnf(refute_0_483,plain,
    inverse(inverse(X_42)) = double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42))),
    inference(subst,[],[refute_0_421:[bind(Y,$fot(double_divide(X_45,X_42)))]]) ).

cnf(refute_0_484,plain,
    inverse(inverse(X_45)) = double_divide(X_42,double_divide(X_45,X_42)),
    inference(subst,[],[refute_0_421:[bind(Y,$fot(X_42)),bind(X_42,$fot(X_45))]]) ).

cnf(refute_0_485,plain,
    ( inverse(inverse(X_45)) != double_divide(X_42,double_divide(X_45,X_42))
    | double_divide(X_42,double_divide(X_45,X_42)) = inverse(inverse(X_45)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(X_45)))),bind(Y0,$fot(double_divide(X_42,double_divide(X_45,X_42))))]]) ).

cnf(refute_0_486,plain,
    double_divide(X_42,double_divide(X_45,X_42)) = inverse(inverse(X_45)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),double_divide(X_42,double_divide(X_45,X_42))) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    ( double_divide(X_42,double_divide(X_45,X_42)) != inverse(inverse(X_45))
    | inverse(inverse(X_42)) != double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42)))
    | inverse(inverse(X_42)) = double_divide(double_divide(X_45,X_42),inverse(inverse(X_45))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_42)),double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42)))) ),[1,1],$fot(inverse(inverse(X_45)))]]) ).

cnf(refute_0_488,plain,
    ( inverse(inverse(X_42)) != double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42)))
    | inverse(inverse(X_42)) = double_divide(double_divide(X_45,X_42),inverse(inverse(X_45))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_42,double_divide(X_45,X_42)),inverse(inverse(X_45))) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    inverse(inverse(X_42)) = double_divide(double_divide(X_45,X_42),inverse(inverse(X_45))),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_42)),double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42)))) )],[refute_0_483,refute_0_488]) ).

cnf(refute_0_490,plain,
    inverse(inverse(X_46)) = double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13))))),
    inference(subst,[],[refute_0_489:[bind(X_42,$fot(X_46)),bind(X_45,$fot(inverse(inverse(X_13))))]]) ).

cnf(refute_0_491,plain,
    ( inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13)))))
    | inverse(inverse(inverse(inverse(X_13)))) != X_13
    | inverse(inverse(X_46)) = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13)))))) ),[1,1],$fot(X_13)]]) ).

cnf(refute_0_492,plain,
    ( inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13)))))
    | inverse(inverse(X_46)) = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_268,refute_0_491]) ).

cnf(refute_0_493,plain,
    inverse(inverse(X_46)) = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13)))))) )],[refute_0_490,refute_0_492]) ).

cnf(refute_0_494,plain,
    inverse(inverse(X_46)) = X_46,
    inference(subst,[],[refute_0_336:[bind(X_58,$fot(X_46))]]) ).

cnf(refute_0_495,plain,
    ( inverse(inverse(X_46)) != X_46
    | inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
    | X_46 = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) ),[0],$fot(X_46)]]) ).

cnf(refute_0_496,plain,
    ( inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
    | X_46 = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),X_46) )],[refute_0_494,refute_0_495]) ).

cnf(refute_0_497,plain,
    multiply(inverse(X_46),inverse(X_13)) = double_divide(X_13,X_46),
    inference(subst,[],[refute_0_443:[bind(X_13,$fot(X_46)),bind(X_45,$fot(X_13))]]) ).

cnf(refute_0_498,plain,
    double_divide(inverse(inverse(X_13)),X_46) = multiply(inverse(X_46),inverse(X_13)),
    inference(subst,[],[refute_0_467:[bind(X_48,$fot(X_46)),bind(X_58,$fot(inverse(X_13)))]]) ).

cnf(refute_0_499,plain,
    ( multiply(inverse(X_46),inverse(X_13)) != double_divide(X_13,X_46)
    | double_divide(inverse(inverse(X_13)),X_46) != multiply(inverse(X_46),inverse(X_13))
    | double_divide(inverse(inverse(X_13)),X_46) = double_divide(X_13,X_46) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(inverse(X_13)),X_46))),bind(Y0,$fot(multiply(inverse(X_46),inverse(X_13)))),bind(Z0,$fot(double_divide(X_13,X_46)))]]) ).

cnf(refute_0_500,plain,
    ( multiply(inverse(X_46),inverse(X_13)) != double_divide(X_13,X_46)
    | double_divide(inverse(inverse(X_13)),X_46) = double_divide(X_13,X_46) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),X_46),multiply(inverse(X_46),inverse(X_13))) )],[refute_0_498,refute_0_499]) ).

cnf(refute_0_501,plain,
    double_divide(inverse(inverse(X_13)),X_46) = double_divide(X_13,X_46),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_46),inverse(X_13)),double_divide(X_13,X_46)) )],[refute_0_497,refute_0_500]) ).

cnf(refute_0_502,plain,
    double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13))]]) ).

cnf(refute_0_503,plain,
    ( double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
    | double_divide(inverse(inverse(X_13)),X_46) != double_divide(X_13,X_46)
    | double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) = double_divide(double_divide(X_13,X_46),X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) ),[1,0],$fot(double_divide(X_13,X_46))]]) ).

cnf(refute_0_504,plain,
    ( double_divide(inverse(inverse(X_13)),X_46) != double_divide(X_13,X_46)
    | double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) = double_divide(double_divide(X_13,X_46),X_13) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) )],[refute_0_502,refute_0_503]) ).

cnf(refute_0_505,plain,
    double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) = double_divide(double_divide(X_13,X_46),X_13),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),X_46),double_divide(X_13,X_46)) )],[refute_0_501,refute_0_504]) ).

cnf(refute_0_506,plain,
    ( X_46 != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
    | double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) != double_divide(double_divide(X_13,X_46),X_13)
    | X_46 = double_divide(double_divide(X_13,X_46),X_13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_46,double_divide(double_divide(X_13,X_46),X_13)) ),[0],$fot(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13))]]) ).

cnf(refute_0_507,plain,
    ( X_46 != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
    | X_46 = double_divide(double_divide(X_13,X_46),X_13) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),double_divide(double_divide(X_13,X_46),X_13)) )],[refute_0_505,refute_0_506]) ).

cnf(refute_0_508,plain,
    ( inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
    | X_46 = double_divide(double_divide(X_13,X_46),X_13) ),
    inference(resolve,[$cnf( $equal(X_46,double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) )],[refute_0_496,refute_0_507]) ).

cnf(refute_0_509,plain,
    X_46 = double_divide(double_divide(X_13,X_46),X_13),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) )],[refute_0_493,refute_0_508]) ).

cnf(refute_0_510,plain,
    ( inverse(inverse(inverse(X_59))) != double_divide(Y,multiply(inverse(Y),X_59))
    | inverse(inverse(inverse(X_59))) != inverse(X_59)
    | inverse(X_59) = double_divide(Y,multiply(inverse(Y),X_59)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(X_59))),double_divide(Y,multiply(inverse(Y),X_59))) ),[0],$fot(inverse(X_59))]]) ).

cnf(refute_0_511,plain,
    ( inverse(inverse(inverse(X_59))) != double_divide(Y,multiply(inverse(Y),X_59))
    | inverse(X_59) = double_divide(Y,multiply(inverse(Y),X_59)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_59))),inverse(X_59)) )],[refute_0_337,refute_0_510]) ).

cnf(refute_0_512,plain,
    inverse(X_59) = double_divide(Y,multiply(inverse(Y),X_59)),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_59))),double_divide(Y,multiply(inverse(Y),X_59))) )],[refute_0_341,refute_0_511]) ).

cnf(refute_0_513,plain,
    inverse(multiply(inverse(inverse(Y)),X_83)) = double_divide(Y,multiply(inverse(Y),multiply(inverse(inverse(Y)),X_83))),
    inference(subst,[],[refute_0_512:[bind(X_59,$fot(multiply(inverse(inverse(Y)),X_83)))]]) ).

cnf(refute_0_514,plain,
    multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)),multiply(X_54,X_55)),X_56) = inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),
    inference(subst,[],[refute_0_207:[bind(X,$fot(X_54)),bind(Y,$fot(X_55)),bind(X_10,$fot(X_56)),bind(X_11,$fot(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))))]]) ).

cnf(refute_0_515,plain,
    identity = double_divide(inverse(inverse(inverse(X_24))),inverse(inverse(inverse(inverse(X_24))))),
    inference(subst,[],[identity:[bind(X,$fot(inverse(inverse(inverse(X_24)))))]]) ).

cnf(refute_0_516,plain,
    ( identity != double_divide(inverse(inverse(inverse(X_24))),inverse(inverse(inverse(inverse(X_24)))))
    | inverse(inverse(inverse(inverse(X_24)))) != X_24
    | identity = double_divide(inverse(inverse(inverse(X_24))),X_24) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(X_24))),inverse(inverse(inverse(inverse(X_24)))))) ),[1,1],$fot(X_24)]]) ).

cnf(refute_0_517,plain,
    ( identity != double_divide(inverse(inverse(inverse(X_24))),inverse(inverse(inverse(inverse(X_24)))))
    | identity = double_divide(inverse(inverse(inverse(X_24))),X_24) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_24)))),X_24) )],[refute_0_314,refute_0_516]) ).

cnf(refute_0_518,plain,
    identity = double_divide(inverse(inverse(inverse(X_24))),X_24),
    inference(resolve,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(X_24))),inverse(inverse(inverse(inverse(X_24)))))) )],[refute_0_515,refute_0_517]) ).

cnf(refute_0_519,plain,
    identity = double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)),
    inference(subst,[],[refute_0_518:[bind(X_24,$fot(double_divide(double_divide(X_55,X_54),X_56)))]]) ).

cnf(refute_0_520,plain,
    ( identity != double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56))
    | double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56))))]]) ).

cnf(refute_0_521,plain,
    double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56))) )],[refute_0_519,refute_0_520]) ).

cnf(refute_0_522,plain,
    ( multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)),multiply(X_54,X_55)),X_56) != inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))
    | double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)) != identity
    | multiply(double_divide(identity,multiply(X_54,X_55)),X_56) = inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)),multiply(X_54,X_55)),X_56),inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))) ),[0,0,0],$fot(identity)]]) ).

cnf(refute_0_523,plain,
    ( multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)),multiply(X_54,X_55)),X_56) != inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))
    | multiply(double_divide(identity,multiply(X_54,X_55)),X_56) = inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)),identity) )],[refute_0_521,refute_0_522]) ).

cnf(refute_0_524,plain,
    multiply(double_divide(identity,multiply(X_54,X_55)),X_56) = inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),double_divide(double_divide(X_55,X_54),X_56)),multiply(X_54,X_55)),X_56),inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))) )],[refute_0_514,refute_0_523]) ).

cnf(refute_0_525,plain,
    double_divide(identity,multiply(X_54,X_55)) = inverse(multiply(X_54,X_55)),
    inference(subst,[],[refute_0_274:[bind(X_33,$fot(multiply(X_54,X_55)))]]) ).

cnf(refute_0_526,plain,
    multiply(double_divide(identity,multiply(X_54,X_55)),X_56) = multiply(double_divide(identity,multiply(X_54,X_55)),X_56),
    introduced(tautology,[refl,[$fot(multiply(double_divide(identity,multiply(X_54,X_55)),X_56))]]) ).

cnf(refute_0_527,plain,
    ( multiply(double_divide(identity,multiply(X_54,X_55)),X_56) != multiply(double_divide(identity,multiply(X_54,X_55)),X_56)
    | double_divide(identity,multiply(X_54,X_55)) != inverse(multiply(X_54,X_55))
    | multiply(double_divide(identity,multiply(X_54,X_55)),X_56) = multiply(inverse(multiply(X_54,X_55)),X_56) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(X_54,X_55)),X_56),multiply(double_divide(identity,multiply(X_54,X_55)),X_56)) ),[1,0],$fot(inverse(multiply(X_54,X_55)))]]) ).

cnf(refute_0_528,plain,
    ( double_divide(identity,multiply(X_54,X_55)) != inverse(multiply(X_54,X_55))
    | multiply(double_divide(identity,multiply(X_54,X_55)),X_56) = multiply(inverse(multiply(X_54,X_55)),X_56) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_54,X_55)),X_56),multiply(double_divide(identity,multiply(X_54,X_55)),X_56)) )],[refute_0_526,refute_0_527]) ).

cnf(refute_0_529,plain,
    multiply(double_divide(identity,multiply(X_54,X_55)),X_56) = multiply(inverse(multiply(X_54,X_55)),X_56),
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_54,X_55)),inverse(multiply(X_54,X_55))) )],[refute_0_525,refute_0_528]) ).

cnf(refute_0_530,plain,
    ( multiply(double_divide(identity,multiply(X_54,X_55)),X_56) != multiply(inverse(multiply(X_54,X_55)),X_56)
    | multiply(double_divide(identity,multiply(X_54,X_55)),X_56) != inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))
    | multiply(inverse(multiply(X_54,X_55)),X_56) = inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(X_54,X_55)),X_56),inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))) ),[0],$fot(multiply(inverse(multiply(X_54,X_55)),X_56))]]) ).

cnf(refute_0_531,plain,
    ( multiply(double_divide(identity,multiply(X_54,X_55)),X_56) != inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))
    | multiply(inverse(multiply(X_54,X_55)),X_56) = inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_54,X_55)),X_56),multiply(inverse(multiply(X_54,X_55)),X_56)) )],[refute_0_529,refute_0_530]) ).

cnf(refute_0_532,plain,
    inverse(double_divide(double_divide(X_55,X_54),X_56)) = multiply(X_56,double_divide(X_55,X_54)),
    inference(subst,[],[refute_0_18:[bind(X,$fot(X_56)),bind(Y,$fot(double_divide(X_55,X_54)))]]) ).

cnf(refute_0_533,plain,
    inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))) = inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))),
    introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))]]) ).

cnf(refute_0_534,plain,
    ( inverse(double_divide(double_divide(X_55,X_54),X_56)) != multiply(X_56,double_divide(X_55,X_54))
    | inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))) != inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))
    | inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))) = inverse(multiply(X_56,double_divide(X_55,X_54))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))),inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) ),[1,0],$fot(multiply(X_56,double_divide(X_55,X_54)))]]) ).

cnf(refute_0_535,plain,
    ( inverse(double_divide(double_divide(X_55,X_54),X_56)) != multiply(X_56,double_divide(X_55,X_54))
    | inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))) = inverse(multiply(X_56,double_divide(X_55,X_54))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))),inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) )],[refute_0_533,refute_0_534]) ).

cnf(refute_0_536,plain,
    inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))) = inverse(multiply(X_56,double_divide(X_55,X_54))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_55,X_54),X_56)),multiply(X_56,double_divide(X_55,X_54))) )],[refute_0_532,refute_0_535]) ).

cnf(refute_0_537,plain,
    inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) = inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),
    introduced(tautology,[refl,[$fot(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))))]]) ).

cnf(refute_0_538,plain,
    ( inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))) != inverse(multiply(X_56,double_divide(X_55,X_54)))
    | inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) != inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))
    | inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))) ),[1,0],$fot(inverse(multiply(X_56,double_divide(X_55,X_54))))]]) ).

cnf(refute_0_539,plain,
    ( inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))) != inverse(multiply(X_56,double_divide(X_55,X_54)))
    | inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))) )],[refute_0_537,refute_0_538]) ).

cnf(refute_0_540,plain,
    inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))),inverse(multiply(X_56,double_divide(X_55,X_54)))) )],[refute_0_536,refute_0_539]) ).

cnf(refute_0_541,plain,
    ( multiply(inverse(multiply(X_54,X_55)),X_56) != inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))
    | inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))) != inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))
    | multiply(inverse(multiply(X_54,X_55)),X_56) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_54,X_55)),X_56),inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))) ),[0],$fot(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))))]]) ).

cnf(refute_0_542,plain,
    ( multiply(inverse(multiply(X_54,X_55)),X_56) != inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))
    | multiply(inverse(multiply(X_54,X_55)),X_56) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56)))),inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))) )],[refute_0_540,refute_0_541]) ).

cnf(refute_0_543,plain,
    ( multiply(double_divide(identity,multiply(X_54,X_55)),X_56) != inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))
    | multiply(inverse(multiply(X_54,X_55)),X_56) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_56),inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))) )],[refute_0_531,refute_0_542]) ).

cnf(refute_0_544,plain,
    multiply(inverse(multiply(X_54,X_55)),X_56) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_54,X_55)),X_56),inverse(inverse(inverse(double_divide(double_divide(X_55,X_54),X_56))))) )],[refute_0_524,refute_0_543]) ).

cnf(refute_0_545,plain,
    inverse(inverse(double_divide(X_47,X_46))) = double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47)))),
    inference(subst,[],[refute_0_421:[bind(Y,$fot(inverse(inverse(X_47)))),bind(X_42,$fot(double_divide(X_47,X_46)))]]) ).

cnf(refute_0_546,plain,
    inverse(inverse(X_46)) = double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),
    inference(subst,[],[refute_0_489:[bind(X_42,$fot(X_46)),bind(X_45,$fot(X_47))]]) ).

cnf(refute_0_547,plain,
    ( inverse(inverse(X_46)) != double_divide(double_divide(X_47,X_46),inverse(inverse(X_47)))
    | double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))) = inverse(inverse(X_46)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(X_46)))),bind(Y0,$fot(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47)))))]]) ).

cnf(refute_0_548,plain,
    double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))) = inverse(inverse(X_46)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47)))) )],[refute_0_546,refute_0_547]) ).

cnf(refute_0_549,plain,
    ( double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))) != inverse(inverse(X_46))
    | inverse(inverse(double_divide(X_47,X_46))) != double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))))
    | inverse(inverse(double_divide(X_47,X_46))) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))))) ),[1,1],$fot(inverse(inverse(X_46)))]]) ).

cnf(refute_0_550,plain,
    ( inverse(inverse(double_divide(X_47,X_46))) != double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))))
    | inverse(inverse(double_divide(X_47,X_46))) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),inverse(inverse(X_46))) )],[refute_0_548,refute_0_549]) ).

cnf(refute_0_551,plain,
    inverse(inverse(double_divide(X_47,X_46))) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))))) )],[refute_0_545,refute_0_550]) ).

cnf(refute_0_552,plain,
    inverse(double_divide(X_47,X_46)) = multiply(X_46,X_47),
    inference(subst,[],[refute_0_18:[bind(X,$fot(X_46)),bind(Y,$fot(X_47))]]) ).

cnf(refute_0_553,plain,
    inverse(inverse(double_divide(X_47,X_46))) = inverse(inverse(double_divide(X_47,X_46))),
    introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(X_47,X_46))))]]) ).

cnf(refute_0_554,plain,
    ( inverse(double_divide(X_47,X_46)) != multiply(X_46,X_47)
    | inverse(inverse(double_divide(X_47,X_46))) != inverse(inverse(double_divide(X_47,X_46)))
    | inverse(inverse(double_divide(X_47,X_46))) = inverse(multiply(X_46,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),inverse(inverse(double_divide(X_47,X_46)))) ),[1,0],$fot(multiply(X_46,X_47))]]) ).

cnf(refute_0_555,plain,
    ( inverse(double_divide(X_47,X_46)) != multiply(X_46,X_47)
    | inverse(inverse(double_divide(X_47,X_46))) = inverse(multiply(X_46,X_47)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),inverse(inverse(double_divide(X_47,X_46)))) )],[refute_0_553,refute_0_554]) ).

cnf(refute_0_556,plain,
    inverse(inverse(double_divide(X_47,X_46))) = inverse(multiply(X_46,X_47)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_47,X_46)),multiply(X_46,X_47)) )],[refute_0_552,refute_0_555]) ).

cnf(refute_0_557,plain,
    ( inverse(inverse(double_divide(X_47,X_46))) != double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))
    | inverse(inverse(double_divide(X_47,X_46))) != inverse(multiply(X_46,X_47))
    | inverse(multiply(X_46,X_47)) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))) ),[0],$fot(inverse(multiply(X_46,X_47)))]]) ).

cnf(refute_0_558,plain,
    ( inverse(inverse(double_divide(X_47,X_46))) != double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))
    | inverse(multiply(X_46,X_47)) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),inverse(multiply(X_46,X_47))) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    inverse(multiply(X_46,X_47)) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))) )],[refute_0_551,refute_0_558]) ).

cnf(refute_0_560,plain,
    double_divide(X_47,inverse(inverse(X_46))) = double_divide(X_47,inverse(inverse(X_46))),
    introduced(tautology,[refl,[$fot(double_divide(X_47,inverse(inverse(X_46))))]]) ).

cnf(refute_0_561,plain,
    ( double_divide(X_47,inverse(inverse(X_46))) != double_divide(X_47,inverse(inverse(X_46)))
    | inverse(inverse(X_46)) != X_46
    | double_divide(X_47,inverse(inverse(X_46))) = double_divide(X_47,X_46) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_47,inverse(inverse(X_46))),double_divide(X_47,inverse(inverse(X_46)))) ),[1,1],$fot(X_46)]]) ).

cnf(refute_0_562,plain,
    ( inverse(inverse(X_46)) != X_46
    | double_divide(X_47,inverse(inverse(X_46))) = double_divide(X_47,X_46) ),
    inference(resolve,[$cnf( $equal(double_divide(X_47,inverse(inverse(X_46))),double_divide(X_47,inverse(inverse(X_46)))) )],[refute_0_560,refute_0_561]) ).

cnf(refute_0_563,plain,
    double_divide(X_47,inverse(inverse(X_46))) = double_divide(X_47,X_46),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),X_46) )],[refute_0_494,refute_0_562]) ).

cnf(refute_0_564,plain,
    multiply(inverse(inverse(inverse(X_46))),inverse(X_47)) = double_divide(X_47,inverse(inverse(X_46))),
    inference(subst,[],[refute_0_443:[bind(X_13,$fot(inverse(inverse(X_46)))),bind(X_45,$fot(X_47))]]) ).

cnf(refute_0_565,plain,
    double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = multiply(inverse(inverse(inverse(X_46))),inverse(X_47)),
    inference(subst,[],[refute_0_467:[bind(X_48,$fot(inverse(inverse(X_46)))),bind(X_58,$fot(inverse(X_47)))]]) ).

cnf(refute_0_566,plain,
    ( multiply(inverse(inverse(inverse(X_46))),inverse(X_47)) != double_divide(X_47,inverse(inverse(X_46)))
    | double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) != multiply(inverse(inverse(inverse(X_46))),inverse(X_47))
    | double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,inverse(inverse(X_46))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))))),bind(Y0,$fot(multiply(inverse(inverse(inverse(X_46))),inverse(X_47)))),bind(Z0,$fot(double_divide(X_47,inverse(inverse(X_46)))))]]) ).

cnf(refute_0_567,plain,
    ( multiply(inverse(inverse(inverse(X_46))),inverse(X_47)) != double_divide(X_47,inverse(inverse(X_46)))
    | double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,inverse(inverse(X_46))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),multiply(inverse(inverse(inverse(X_46))),inverse(X_47))) )],[refute_0_565,refute_0_566]) ).

cnf(refute_0_568,plain,
    double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,inverse(inverse(X_46))),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_46))),inverse(X_47)),double_divide(X_47,inverse(inverse(X_46)))) )],[refute_0_564,refute_0_567]) ).

cnf(refute_0_569,plain,
    ( double_divide(X_47,inverse(inverse(X_46))) != double_divide(X_47,X_46)
    | double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) != double_divide(X_47,inverse(inverse(X_46)))
    | double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,X_46) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))))),bind(Y0,$fot(double_divide(X_47,inverse(inverse(X_46))))),bind(Z0,$fot(double_divide(X_47,X_46)))]]) ).

cnf(refute_0_570,plain,
    ( double_divide(X_47,inverse(inverse(X_46))) != double_divide(X_47,X_46)
    | double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,X_46) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),double_divide(X_47,inverse(inverse(X_46)))) )],[refute_0_568,refute_0_569]) ).

cnf(refute_0_571,plain,
    double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,X_46),
    inference(resolve,[$cnf( $equal(double_divide(X_47,inverse(inverse(X_46))),double_divide(X_47,X_46)) )],[refute_0_563,refute_0_570]) ).

cnf(refute_0_572,plain,
    ( double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) != double_divide(X_47,X_46)
    | inverse(multiply(X_46,X_47)) != double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))
    | inverse(multiply(X_46,X_47)) = double_divide(X_47,X_46) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_46,X_47)),double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))) ),[1],$fot(double_divide(X_47,X_46))]]) ).

cnf(refute_0_573,plain,
    ( inverse(multiply(X_46,X_47)) != double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))
    | inverse(multiply(X_46,X_47)) = double_divide(X_47,X_46) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),double_divide(X_47,X_46)) )],[refute_0_571,refute_0_572]) ).

cnf(refute_0_574,plain,
    inverse(multiply(X_46,X_47)) = double_divide(X_47,X_46),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_46,X_47)),double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))) )],[refute_0_559,refute_0_573]) ).

cnf(refute_0_575,plain,
    inverse(multiply(X_54,X_55)) = double_divide(X_55,X_54),
    inference(subst,[],[refute_0_574:[bind(X_46,$fot(X_54)),bind(X_47,$fot(X_55))]]) ).

cnf(refute_0_576,plain,
    multiply(inverse(multiply(X_54,X_55)),X_56) = multiply(inverse(multiply(X_54,X_55)),X_56),
    introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_54,X_55)),X_56))]]) ).

cnf(refute_0_577,plain,
    ( multiply(inverse(multiply(X_54,X_55)),X_56) != multiply(inverse(multiply(X_54,X_55)),X_56)
    | inverse(multiply(X_54,X_55)) != double_divide(X_55,X_54)
    | multiply(inverse(multiply(X_54,X_55)),X_56) = multiply(double_divide(X_55,X_54),X_56) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_56),multiply(inverse(multiply(X_54,X_55)),X_56)) ),[1,0],$fot(double_divide(X_55,X_54))]]) ).

cnf(refute_0_578,plain,
    ( inverse(multiply(X_54,X_55)) != double_divide(X_55,X_54)
    | multiply(inverse(multiply(X_54,X_55)),X_56) = multiply(double_divide(X_55,X_54),X_56) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_56),multiply(inverse(multiply(X_54,X_55)),X_56)) )],[refute_0_576,refute_0_577]) ).

cnf(refute_0_579,plain,
    multiply(inverse(multiply(X_54,X_55)),X_56) = multiply(double_divide(X_55,X_54),X_56),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_54,X_55)),double_divide(X_55,X_54)) )],[refute_0_575,refute_0_578]) ).

cnf(refute_0_580,plain,
    ( multiply(inverse(multiply(X_54,X_55)),X_56) != multiply(double_divide(X_55,X_54),X_56)
    | multiply(inverse(multiply(X_54,X_55)),X_56) != inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))
    | multiply(double_divide(X_55,X_54),X_56) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_56),inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))) ),[0],$fot(multiply(double_divide(X_55,X_54),X_56))]]) ).

cnf(refute_0_581,plain,
    ( multiply(inverse(multiply(X_54,X_55)),X_56) != inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))
    | multiply(double_divide(X_55,X_54),X_56) = inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_56),multiply(double_divide(X_55,X_54),X_56)) )],[refute_0_579,refute_0_580]) ).

cnf(refute_0_582,plain,
    inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) = multiply(X_56,double_divide(X_55,X_54)),
    inference(subst,[],[refute_0_336:[bind(X_58,$fot(multiply(X_56,double_divide(X_55,X_54))))]]) ).

cnf(refute_0_583,plain,
    ( multiply(double_divide(X_55,X_54),X_56) != inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))
    | inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))) != multiply(X_56,double_divide(X_55,X_54))
    | multiply(double_divide(X_55,X_54),X_56) = multiply(X_56,double_divide(X_55,X_54)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_55,X_54),X_56),multiply(X_56,double_divide(X_55,X_54))) ),[0],$fot(inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))))]]) ).

cnf(refute_0_584,plain,
    ( multiply(double_divide(X_55,X_54),X_56) != inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))
    | multiply(double_divide(X_55,X_54),X_56) = multiply(X_56,double_divide(X_55,X_54)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_56,double_divide(X_55,X_54)))),multiply(X_56,double_divide(X_55,X_54))) )],[refute_0_582,refute_0_583]) ).

cnf(refute_0_585,plain,
    ( multiply(inverse(multiply(X_54,X_55)),X_56) != inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))
    | multiply(double_divide(X_55,X_54),X_56) = multiply(X_56,double_divide(X_55,X_54)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_55,X_54),X_56),inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))) )],[refute_0_581,refute_0_584]) ).

cnf(refute_0_586,plain,
    multiply(double_divide(X_55,X_54),X_56) = multiply(X_56,double_divide(X_55,X_54)),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_56),inverse(inverse(multiply(X_56,double_divide(X_55,X_54))))) )],[refute_0_544,refute_0_585]) ).

cnf(refute_0_587,plain,
    multiply(double_divide(X_13,X_31),X_31) = multiply(X_31,double_divide(X_13,X_31)),
    inference(subst,[],[refute_0_586:[bind(X_54,$fot(X_31)),bind(X_55,$fot(X_13)),bind(X_56,$fot(X_31))]]) ).

cnf(refute_0_588,plain,
    ( multiply(double_divide(X_13,X_31),X_31) != multiply(X_31,double_divide(X_13,X_31))
    | multiply(double_divide(X_13,X_31),X_31) != inverse(inverse(inverse(X_13)))
    | multiply(X_31,double_divide(X_13,X_31)) = inverse(inverse(inverse(X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_13,X_31),X_31),inverse(inverse(inverse(X_13)))) ),[0],$fot(multiply(X_31,double_divide(X_13,X_31)))]]) ).

cnf(refute_0_589,plain,
    ( multiply(double_divide(X_13,X_31),X_31) != inverse(inverse(inverse(X_13)))
    | multiply(X_31,double_divide(X_13,X_31)) = inverse(inverse(inverse(X_13))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_31),X_31),multiply(X_31,double_divide(X_13,X_31))) )],[refute_0_587,refute_0_588]) ).

cnf(refute_0_590,plain,
    ( multiply(X_31,double_divide(X_13,X_31)) != inverse(inverse(inverse(X_13)))
    | inverse(inverse(inverse(X_13))) != inverse(X_13)
    | multiply(X_31,double_divide(X_13,X_31)) = inverse(X_13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_31,double_divide(X_13,X_31)),inverse(X_13)) ),[0],$fot(inverse(inverse(inverse(X_13))))]]) ).

cnf(refute_0_591,plain,
    ( multiply(X_31,double_divide(X_13,X_31)) != inverse(inverse(inverse(X_13)))
    | multiply(X_31,double_divide(X_13,X_31)) = inverse(X_13) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_436,refute_0_590]) ).

cnf(refute_0_592,plain,
    ( multiply(double_divide(X_13,X_31),X_31) != inverse(inverse(inverse(X_13)))
    | multiply(X_31,double_divide(X_13,X_31)) = inverse(X_13) ),
    inference(resolve,[$cnf( $equal(multiply(X_31,double_divide(X_13,X_31)),inverse(inverse(inverse(X_13)))) )],[refute_0_589,refute_0_591]) ).

cnf(refute_0_593,plain,
    multiply(X_31,double_divide(X_13,X_31)) = inverse(X_13),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_31),X_31),inverse(inverse(inverse(X_13)))) )],[refute_0_411,refute_0_592]) ).

cnf(refute_0_594,plain,
    multiply(X_79,double_divide(double_divide(X_79,X_46),X_79)) = inverse(double_divide(X_79,X_46)),
    inference(subst,[],[refute_0_593:[bind(X_13,$fot(double_divide(X_79,X_46))),bind(X_31,$fot(X_79))]]) ).

cnf(refute_0_595,plain,
    X_46 = double_divide(double_divide(X_79,X_46),X_79),
    inference(subst,[],[refute_0_509:[bind(X_13,$fot(X_79))]]) ).

cnf(refute_0_596,plain,
    ( X_46 != double_divide(double_divide(X_79,X_46),X_79)
    | double_divide(double_divide(X_79,X_46),X_79) = X_46 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(X_46)),bind(Y0,$fot(double_divide(double_divide(X_79,X_46),X_79)))]]) ).

cnf(refute_0_597,plain,
    double_divide(double_divide(X_79,X_46),X_79) = X_46,
    inference(resolve,[$cnf( $equal(X_46,double_divide(double_divide(X_79,X_46),X_79)) )],[refute_0_595,refute_0_596]) ).

cnf(refute_0_598,plain,
    ( multiply(X_79,double_divide(double_divide(X_79,X_46),X_79)) != inverse(double_divide(X_79,X_46))
    | double_divide(double_divide(X_79,X_46),X_79) != X_46
    | multiply(X_79,X_46) = inverse(double_divide(X_79,X_46)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_79,double_divide(double_divide(X_79,X_46),X_79)),inverse(double_divide(X_79,X_46))) ),[0,1],$fot(X_46)]]) ).

cnf(refute_0_599,plain,
    ( multiply(X_79,double_divide(double_divide(X_79,X_46),X_79)) != inverse(double_divide(X_79,X_46))
    | multiply(X_79,X_46) = inverse(double_divide(X_79,X_46)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_79,X_46),X_79),X_46) )],[refute_0_597,refute_0_598]) ).

cnf(refute_0_600,plain,
    multiply(X_79,X_46) = inverse(double_divide(X_79,X_46)),
    inference(resolve,[$cnf( $equal(multiply(X_79,double_divide(double_divide(X_79,X_46),X_79)),inverse(double_divide(X_79,X_46))) )],[refute_0_594,refute_0_599]) ).

cnf(refute_0_601,plain,
    inverse(double_divide(X_79,X_46)) = multiply(X_46,X_79),
    inference(subst,[],[refute_0_18:[bind(X,$fot(X_46)),bind(Y,$fot(X_79))]]) ).

cnf(refute_0_602,plain,
    ( multiply(X_79,X_46) != inverse(double_divide(X_79,X_46))
    | inverse(double_divide(X_79,X_46)) != multiply(X_46,X_79)
    | multiply(X_79,X_46) = multiply(X_46,X_79) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_79,X_46),multiply(X_46,X_79)) ),[0],$fot(inverse(double_divide(X_79,X_46)))]]) ).

cnf(refute_0_603,plain,
    ( multiply(X_79,X_46) != inverse(double_divide(X_79,X_46))
    | multiply(X_79,X_46) = multiply(X_46,X_79) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_79,X_46)),multiply(X_46,X_79)) )],[refute_0_601,refute_0_602]) ).

cnf(refute_0_604,plain,
    multiply(X_79,X_46) = multiply(X_46,X_79),
    inference(resolve,[$cnf( $equal(multiply(X_79,X_46),inverse(double_divide(X_79,X_46))) )],[refute_0_600,refute_0_603]) ).

cnf(refute_0_605,plain,
    ( multiply(X_79,X_46) != multiply(X_46,X_79)
    | multiply(X_46,X_79) = multiply(X_79,X_46) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_79,X_46))),bind(Y0,$fot(multiply(X_46,X_79)))]]) ).

cnf(refute_0_606,plain,
    multiply(X_46,X_79) = multiply(X_79,X_46),
    inference(resolve,[$cnf( $equal(multiply(X_79,X_46),multiply(X_46,X_79)) )],[refute_0_604,refute_0_605]) ).

cnf(refute_0_607,plain,
    multiply(multiply(inverse(X_56),X_57),X_56) = multiply(X_56,multiply(inverse(X_56),X_57)),
    inference(subst,[],[refute_0_606:[bind(X_46,$fot(multiply(inverse(X_56),X_57))),bind(X_79,$fot(X_56))]]) ).

cnf(refute_0_608,plain,
    ( multiply(multiply(inverse(X_56),X_57),X_56) != X_57
    | multiply(multiply(inverse(X_56),X_57),X_56) != multiply(X_56,multiply(inverse(X_56),X_57))
    | multiply(X_56,multiply(inverse(X_56),X_57)) = X_57 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_56),X_57),X_56),X_57) ),[0],$fot(multiply(X_56,multiply(inverse(X_56),X_57)))]]) ).

cnf(refute_0_609,plain,
    ( multiply(multiply(inverse(X_56),X_57),X_56) != X_57
    | multiply(X_56,multiply(inverse(X_56),X_57)) = X_57 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_56),X_57),X_56),multiply(X_56,multiply(inverse(X_56),X_57))) )],[refute_0_607,refute_0_608]) ).

cnf(refute_0_610,plain,
    multiply(X_56,multiply(inverse(X_56),X_57)) = X_57,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_56),X_57),X_56),X_57) )],[refute_0_304,refute_0_609]) ).

cnf(refute_0_611,plain,
    multiply(inverse(Y),multiply(inverse(inverse(Y)),X_83)) = X_83,
    inference(subst,[],[refute_0_610:[bind(X_56,$fot(inverse(Y))),bind(X_57,$fot(X_83))]]) ).

cnf(refute_0_612,plain,
    ( multiply(inverse(Y),multiply(inverse(inverse(Y)),X_83)) != X_83
    | inverse(multiply(inverse(inverse(Y)),X_83)) != double_divide(Y,multiply(inverse(Y),multiply(inverse(inverse(Y)),X_83)))
    | inverse(multiply(inverse(inverse(Y)),X_83)) = double_divide(Y,X_83) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_83)),double_divide(Y,multiply(inverse(Y),multiply(inverse(inverse(Y)),X_83)))) ),[1,1],$fot(X_83)]]) ).

cnf(refute_0_613,plain,
    ( inverse(multiply(inverse(inverse(Y)),X_83)) != double_divide(Y,multiply(inverse(Y),multiply(inverse(inverse(Y)),X_83)))
    | inverse(multiply(inverse(inverse(Y)),X_83)) = double_divide(Y,X_83) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(inverse(Y)),X_83)),X_83) )],[refute_0_611,refute_0_612]) ).

cnf(refute_0_614,plain,
    inverse(multiply(inverse(inverse(Y)),X_83)) = double_divide(Y,X_83),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_83)),double_divide(Y,multiply(inverse(Y),multiply(inverse(inverse(Y)),X_83)))) )],[refute_0_513,refute_0_613]) ).

cnf(refute_0_615,plain,
    multiply(inverse(Y),inverse(X_83)) = double_divide(X_83,Y),
    inference(subst,[],[refute_0_443:[bind(X_13,$fot(Y)),bind(X_45,$fot(X_83))]]) ).

cnf(refute_0_616,plain,
    multiply(inverse(inverse(X_58)),inverse(X_70)) = double_divide(X_70,inverse(X_58)),
    inference(subst,[],[refute_0_443:[bind(X_13,$fot(inverse(X_58))),bind(X_45,$fot(X_70))]]) ).

cnf(refute_0_617,plain,
    ( multiply(inverse(inverse(X_58)),inverse(X_70)) != double_divide(X_70,inverse(X_58))
    | inverse(inverse(X_58)) != X_58
    | multiply(X_58,inverse(X_70)) = double_divide(X_70,inverse(X_58)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(X_70)),double_divide(X_70,inverse(X_58))) ),[0,0],$fot(X_58)]]) ).

cnf(refute_0_618,plain,
    ( multiply(inverse(inverse(X_58)),inverse(X_70)) != double_divide(X_70,inverse(X_58))
    | multiply(X_58,inverse(X_70)) = double_divide(X_70,inverse(X_58)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_58)),X_58) )],[refute_0_336,refute_0_617]) ).

cnf(refute_0_619,plain,
    multiply(X_58,inverse(X_70)) = double_divide(X_70,inverse(X_58)),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(X_70)),double_divide(X_70,inverse(X_58))) )],[refute_0_616,refute_0_618]) ).

cnf(refute_0_620,plain,
    ( multiply(X_58,inverse(X_70)) != double_divide(X_70,inverse(X_58))
    | double_divide(X_70,inverse(X_58)) = multiply(X_58,inverse(X_70)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_58,inverse(X_70)))),bind(Y0,$fot(double_divide(X_70,inverse(X_58))))]]) ).

cnf(refute_0_621,plain,
    double_divide(X_70,inverse(X_58)) = multiply(X_58,inverse(X_70)),
    inference(resolve,[$cnf( $equal(multiply(X_58,inverse(X_70)),double_divide(X_70,inverse(X_58))) )],[refute_0_619,refute_0_620]) ).

cnf(refute_0_622,plain,
    double_divide(X_83,inverse(inverse(Y))) = multiply(inverse(Y),inverse(X_83)),
    inference(subst,[],[refute_0_621:[bind(X_58,$fot(inverse(Y))),bind(X_70,$fot(X_83))]]) ).

cnf(refute_0_623,plain,
    ( multiply(inverse(Y),inverse(X_83)) != double_divide(X_83,Y)
    | double_divide(X_83,inverse(inverse(Y))) != multiply(inverse(Y),inverse(X_83))
    | double_divide(X_83,inverse(inverse(Y))) = double_divide(X_83,Y) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(X_83,inverse(inverse(Y))))),bind(Y0,$fot(multiply(inverse(Y),inverse(X_83)))),bind(Z0,$fot(double_divide(X_83,Y)))]]) ).

cnf(refute_0_624,plain,
    ( multiply(inverse(Y),inverse(X_83)) != double_divide(X_83,Y)
    | double_divide(X_83,inverse(inverse(Y))) = double_divide(X_83,Y) ),
    inference(resolve,[$cnf( $equal(double_divide(X_83,inverse(inverse(Y))),multiply(inverse(Y),inverse(X_83))) )],[refute_0_622,refute_0_623]) ).

cnf(refute_0_625,plain,
    double_divide(X_83,inverse(inverse(Y))) = double_divide(X_83,Y),
    inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(X_83)),double_divide(X_83,Y)) )],[refute_0_615,refute_0_624]) ).

cnf(refute_0_626,plain,
    inverse(multiply(inverse(inverse(Y)),X_83)) = double_divide(X_83,inverse(inverse(Y))),
    inference(subst,[],[refute_0_574:[bind(X_46,$fot(inverse(inverse(Y)))),bind(X_47,$fot(X_83))]]) ).

cnf(refute_0_627,plain,
    ( double_divide(X_83,inverse(inverse(Y))) != double_divide(X_83,Y)
    | inverse(multiply(inverse(inverse(Y)),X_83)) != double_divide(X_83,inverse(inverse(Y)))
    | inverse(multiply(inverse(inverse(Y)),X_83)) = double_divide(X_83,Y) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(inverse(inverse(Y)),X_83)))),bind(Y0,$fot(double_divide(X_83,inverse(inverse(Y))))),bind(Z0,$fot(double_divide(X_83,Y)))]]) ).

cnf(refute_0_628,plain,
    ( double_divide(X_83,inverse(inverse(Y))) != double_divide(X_83,Y)
    | inverse(multiply(inverse(inverse(Y)),X_83)) = double_divide(X_83,Y) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_83)),double_divide(X_83,inverse(inverse(Y)))) )],[refute_0_626,refute_0_627]) ).

cnf(refute_0_629,plain,
    inverse(multiply(inverse(inverse(Y)),X_83)) = double_divide(X_83,Y),
    inference(resolve,[$cnf( $equal(double_divide(X_83,inverse(inverse(Y))),double_divide(X_83,Y)) )],[refute_0_625,refute_0_628]) ).

cnf(refute_0_630,plain,
    ( inverse(multiply(inverse(inverse(Y)),X_83)) != double_divide(Y,X_83)
    | inverse(multiply(inverse(inverse(Y)),X_83)) != double_divide(X_83,Y)
    | double_divide(X_83,Y) = double_divide(Y,X_83) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_83)),double_divide(Y,X_83)) ),[0],$fot(double_divide(X_83,Y))]]) ).

cnf(refute_0_631,plain,
    ( inverse(multiply(inverse(inverse(Y)),X_83)) != double_divide(Y,X_83)
    | double_divide(X_83,Y) = double_divide(Y,X_83) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_83)),double_divide(X_83,Y)) )],[refute_0_629,refute_0_630]) ).

cnf(refute_0_632,plain,
    double_divide(X_83,Y) = double_divide(Y,X_83),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_83)),double_divide(Y,X_83)) )],[refute_0_614,refute_0_631]) ).

cnf(refute_0_633,plain,
    ( double_divide(X_83,Y) != double_divide(Y,X_83)
    | double_divide(Y,X_83) = double_divide(X_83,Y) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_83,Y))),bind(Y0,$fot(double_divide(Y,X_83)))]]) ).

cnf(refute_0_634,plain,
    double_divide(Y,X_83) = double_divide(X_83,Y),
    inference(resolve,[$cnf( $equal(double_divide(X_83,Y),double_divide(Y,X_83)) )],[refute_0_632,refute_0_633]) ).

cnf(refute_0_635,plain,
    double_divide(double_divide(X_13,X_46),X_13) = double_divide(X_13,double_divide(X_13,X_46)),
    inference(subst,[],[refute_0_634:[bind(Y,$fot(double_divide(X_13,X_46))),bind(X_83,$fot(X_13))]]) ).

cnf(refute_0_636,plain,
    ( X_46 != double_divide(double_divide(X_13,X_46),X_13)
    | double_divide(double_divide(X_13,X_46),X_13) != double_divide(X_13,double_divide(X_13,X_46))
    | X_46 = double_divide(X_13,double_divide(X_13,X_46)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_46,double_divide(X_13,double_divide(X_13,X_46))) ),[0],$fot(double_divide(double_divide(X_13,X_46),X_13))]]) ).

cnf(refute_0_637,plain,
    ( X_46 != double_divide(double_divide(X_13,X_46),X_13)
    | X_46 = double_divide(X_13,double_divide(X_13,X_46)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,X_46),X_13),double_divide(X_13,double_divide(X_13,X_46))) )],[refute_0_635,refute_0_636]) ).

cnf(refute_0_638,plain,
    X_46 = double_divide(X_13,double_divide(X_13,X_46)),
    inference(resolve,[$cnf( $equal(X_46,double_divide(double_divide(X_13,X_46),X_13)) )],[refute_0_509,refute_0_637]) ).

cnf(refute_0_639,plain,
    X_89 = double_divide(X_13,double_divide(X_13,X_89)),
    inference(subst,[],[refute_0_638:[bind(X_46,$fot(X_89))]]) ).

cnf(refute_0_640,plain,
    ( X_89 != double_divide(X_13,double_divide(X_13,X_89))
    | double_divide(X_13,double_divide(X_13,X_89)) = X_89 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(X_89)),bind(Y0,$fot(double_divide(X_13,double_divide(X_13,X_89))))]]) ).

cnf(refute_0_641,plain,
    double_divide(X_13,double_divide(X_13,X_89)) = X_89,
    inference(resolve,[$cnf( $equal(X_89,double_divide(X_13,double_divide(X_13,X_89))) )],[refute_0_639,refute_0_640]) ).

cnf(refute_0_642,plain,
    ( multiply(X_13,double_divide(X_13,double_divide(X_13,X_89))) != inverse(double_divide(X_13,X_89))
    | double_divide(X_13,double_divide(X_13,X_89)) != X_89
    | multiply(X_13,X_89) = inverse(double_divide(X_13,X_89)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,double_divide(X_13,double_divide(X_13,X_89))),inverse(double_divide(X_13,X_89))) ),[0,1],$fot(X_89)]]) ).

cnf(refute_0_643,plain,
    ( multiply(X_13,double_divide(X_13,double_divide(X_13,X_89))) != inverse(double_divide(X_13,X_89))
    | multiply(X_13,X_89) = inverse(double_divide(X_13,X_89)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(X_13,X_89)),X_89) )],[refute_0_641,refute_0_642]) ).

cnf(refute_0_644,plain,
    multiply(X_13,X_89) = inverse(double_divide(X_13,X_89)),
    inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(X_13,double_divide(X_13,X_89))),inverse(double_divide(X_13,X_89))) )],[refute_0_482,refute_0_643]) ).

cnf(refute_0_645,plain,
    inverse(double_divide(X_13,X_89)) = multiply(X_89,X_13),
    inference(subst,[],[refute_0_18:[bind(X,$fot(X_89)),bind(Y,$fot(X_13))]]) ).

cnf(refute_0_646,plain,
    ( multiply(X_13,X_89) != inverse(double_divide(X_13,X_89))
    | inverse(double_divide(X_13,X_89)) != multiply(X_89,X_13)
    | multiply(X_13,X_89) = multiply(X_89,X_13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,X_89),multiply(X_89,X_13)) ),[0],$fot(inverse(double_divide(X_13,X_89)))]]) ).

cnf(refute_0_647,plain,
    ( multiply(X_13,X_89) != inverse(double_divide(X_13,X_89))
    | multiply(X_13,X_89) = multiply(X_89,X_13) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_13,X_89)),multiply(X_89,X_13)) )],[refute_0_645,refute_0_646]) ).

cnf(refute_0_648,plain,
    multiply(X_13,X_89) = multiply(X_89,X_13),
    inference(resolve,[$cnf( $equal(multiply(X_13,X_89),inverse(double_divide(X_13,X_89))) )],[refute_0_644,refute_0_647]) ).

cnf(refute_0_649,plain,
    ( multiply(X_13,X_89) != multiply(X_89,X_13)
    | multiply(X_89,X_13) = multiply(X_13,X_89) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_13,X_89))),bind(Y0,$fot(multiply(X_89,X_13)))]]) ).

cnf(refute_0_650,plain,
    multiply(X_89,X_13) = multiply(X_13,X_89),
    inference(resolve,[$cnf( $equal(multiply(X_13,X_89),multiply(X_89,X_13)) )],[refute_0_648,refute_0_649]) ).

cnf(refute_0_651,plain,
    multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
    inference(subst,[],[refute_0_650:[bind(X_13,$fot(a1)),bind(X_89,$fot(inverse(a1)))]]) ).

cnf(refute_0_652,plain,
    ( multiply(a1,inverse(a1)) != identity
    | multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
    | multiply(inverse(a1),a1) = identity ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(identity))]]) ).

cnf(refute_0_653,plain,
    ( multiply(a1,inverse(a1)) != identity
    | multiply(inverse(a1),a1) = identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_651,refute_0_652]) ).

cnf(refute_0_654,plain,
    multiply(inverse(a1),a1) = identity,
    inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),identity) )],[refute_0_354,refute_0_653]) ).

cnf(refute_0_655,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_656,plain,
    ( identity != identity
    | multiply(inverse(a1),a1) = identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_654,refute_0_655]) ).

cnf(refute_0_657,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_656,prove_these_axioms]) ).

cnf(refute_0_658,plain,
    inverse(inverse(X_15)) = X_15,
    inference(subst,[],[refute_0_336:[bind(X_58,$fot(X_15))]]) ).

cnf(refute_0_659,plain,
    ( multiply(X_15,identity) != inverse(inverse(X_15))
    | inverse(inverse(X_15)) != X_15
    | multiply(X_15,identity) = X_15 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_15,identity),X_15) ),[0],$fot(inverse(inverse(X_15)))]]) ).

cnf(refute_0_660,plain,
    ( multiply(X_15,identity) != inverse(inverse(X_15))
    | multiply(X_15,identity) = X_15 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_15)),X_15) )],[refute_0_658,refute_0_659]) ).

cnf(refute_0_661,plain,
    multiply(X_15,identity) = X_15,
    inference(resolve,[$cnf( $equal(multiply(X_15,identity),inverse(inverse(X_15))) )],[refute_0_253,refute_0_660]) ).

cnf(refute_0_662,plain,
    multiply(a2,identity) = a2,
    inference(subst,[],[refute_0_661:[bind(X_15,$fot(a2))]]) ).

cnf(refute_0_663,plain,
    multiply(identity,a2) = multiply(a2,identity),
    inference(subst,[],[refute_0_650:[bind(X_13,$fot(a2)),bind(X_89,$fot(identity))]]) ).

cnf(refute_0_664,plain,
    ( multiply(a2,identity) != a2
    | multiply(identity,a2) != multiply(a2,identity)
    | multiply(identity,a2) = a2 ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,a2))),bind(Y0,$fot(multiply(a2,identity))),bind(Z0,$fot(a2))]]) ).

cnf(refute_0_665,plain,
    ( multiply(a2,identity) != a2
    | multiply(identity,a2) = a2 ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),multiply(a2,identity)) )],[refute_0_663,refute_0_664]) ).

cnf(refute_0_666,plain,
    multiply(identity,a2) = a2,
    inference(resolve,[$cnf( $equal(multiply(a2,identity),a2) )],[refute_0_662,refute_0_665]) ).

cnf(refute_0_667,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_668,plain,
    ( a2 != a2
    | multiply(identity,a2) = a2 ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_666,refute_0_667]) ).

cnf(refute_0_669,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_668,refute_0_657]) ).

cnf(refute_0_670,plain,
    multiply(b4,a4) = multiply(a4,b4),
    inference(subst,[],[refute_0_650:[bind(X_13,$fot(a4)),bind(X_89,$fot(b4))]]) ).

cnf(refute_0_671,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_672,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_670,refute_0_671]) ).

cnf(refute_0_673,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(a4,b4)
    | a2 != a2
    | identity != identity ),
    inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_672,refute_0_669]) ).

cnf(refute_0_674,plain,
    multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
    inference(subst,[],[refute_0_650:[bind(X_13,$fot(c3)),bind(X_89,$fot(multiply(a3,b3)))]]) ).

cnf(refute_0_675,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_676,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_674,refute_0_675]) ).

cnf(refute_0_677,plain,
    ( multiply(a4,b4) != multiply(a4,b4)
    | multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
    | a2 != a2
    | identity != identity ),
    inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_676,refute_0_673]) ).

cnf(refute_0_678,plain,
    multiply(a4,b4) = multiply(a4,b4),
    introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).

cnf(refute_0_679,plain,
    ( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
    | a2 != a2
    | identity != identity ),
    inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_678,refute_0_677]) ).

cnf(refute_0_680,plain,
    a2 = a2,
    introduced(tautology,[refl,[$fot(a2)]]) ).

cnf(refute_0_681,plain,
    ( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
    | identity != identity ),
    inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_680,refute_0_679]) ).

cnf(refute_0_682,plain,
    identity = identity,
    introduced(tautology,[refl,[$fot(identity)]]) ).

cnf(refute_0_683,plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_682,refute_0_681]) ).

cnf(refute_0_684,plain,
    multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),multiply(double_divide(X_13,X_55),X_55)),X_56) = X_57,
    inference(subst,[],[refute_0_207:[bind(X,$fot(double_divide(X_13,X_55))),bind(Y,$fot(X_55)),bind(X_10,$fot(X_56)),bind(X_11,$fot(X_57))]]) ).

cnf(refute_0_685,plain,
    multiply(double_divide(X_13,X_55),X_55) = inverse(inverse(inverse(X_13))),
    inference(subst,[],[refute_0_411:[bind(X_31,$fot(X_55))]]) ).

cnf(refute_0_686,plain,
    ( multiply(double_divide(X_13,X_55),X_55) != inverse(inverse(inverse(X_13)))
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),multiply(double_divide(X_13,X_55),X_55)),X_56) != X_57
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = X_57 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),multiply(double_divide(X_13,X_55),X_55)),X_56),X_57) ),[0,0,1],$fot(inverse(inverse(inverse(X_13))))]]) ).

cnf(refute_0_687,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),multiply(double_divide(X_13,X_55),X_55)),X_56) != X_57
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = X_57 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_55),X_55),inverse(inverse(inverse(X_13)))) )],[refute_0_685,refute_0_686]) ).

cnf(refute_0_688,plain,
    multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = X_57,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),multiply(double_divide(X_13,X_55),X_55)),X_56),X_57) )],[refute_0_684,refute_0_687]) ).

cnf(refute_0_689,plain,
    ( inverse(inverse(X_42)) != double_divide(Y,double_divide(X_42,Y))
    | double_divide(Y,double_divide(X_42,Y)) = inverse(inverse(X_42)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(X_42)))),bind(Y0,$fot(double_divide(Y,double_divide(X_42,Y))))]]) ).

cnf(refute_0_690,plain,
    double_divide(Y,double_divide(X_42,Y)) = inverse(inverse(X_42)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_42)),double_divide(Y,double_divide(X_42,Y))) )],[refute_0_421,refute_0_689]) ).

cnf(refute_0_691,plain,
    double_divide(X_55,double_divide(X_13,X_55)) = inverse(inverse(X_13)),
    inference(subst,[],[refute_0_690:[bind(Y,$fot(X_55)),bind(X_42,$fot(X_13))]]) ).

cnf(refute_0_692,plain,
    double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56) = double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56))]]) ).

cnf(refute_0_693,plain,
    ( double_divide(X_55,double_divide(X_13,X_55)) != inverse(inverse(X_13))
    | double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56) != double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)
    | double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56) = double_divide(inverse(inverse(X_13)),X_56) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56),double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) ),[1,0],$fot(inverse(inverse(X_13)))]]) ).

cnf(refute_0_694,plain,
    ( double_divide(X_55,double_divide(X_13,X_55)) != inverse(inverse(X_13))
    | double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56) = double_divide(inverse(inverse(X_13)),X_56) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56),double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) )],[refute_0_692,refute_0_693]) ).

cnf(refute_0_695,plain,
    double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56) = double_divide(inverse(inverse(X_13)),X_56),
    inference(resolve,[$cnf( $equal(double_divide(X_55,double_divide(X_13,X_55)),inverse(inverse(X_13))) )],[refute_0_691,refute_0_694]) ).

cnf(refute_0_696,plain,
    double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) = double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),
    introduced(tautology,[refl,[$fot(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)))]]) ).

cnf(refute_0_697,plain,
    ( double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) != double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56))
    | double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56) != double_divide(inverse(inverse(X_13)),X_56)
    | double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) = double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56))) ),[1,1],$fot(double_divide(inverse(inverse(X_13)),X_56))]]) ).

cnf(refute_0_698,plain,
    ( double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56) != double_divide(inverse(inverse(X_13)),X_56)
    | double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) = double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56))) )],[refute_0_696,refute_0_697]) ).

cnf(refute_0_699,plain,
    double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) = double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56),double_divide(inverse(inverse(X_13)),X_56)) )],[refute_0_695,refute_0_698]) ).

cnf(refute_0_700,plain,
    double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))) = double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))))]]) ).

cnf(refute_0_701,plain,
    ( double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) != double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))
    | double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))) != double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13))))
    | double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))) = double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13))))) ),[1,0],$fot(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))]]) ).

cnf(refute_0_702,plain,
    ( double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)) != double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))
    | double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))) = double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13))))) )],[refute_0_700,refute_0_701]) ).

cnf(refute_0_703,plain,
    double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))) = double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),
    inference(resolve,[$cnf( $equal(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) )],[refute_0_699,refute_0_702]) ).

cnf(refute_0_704,plain,
    multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56),
    introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56))]]) ).

cnf(refute_0_705,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) != multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56)
    | double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))) != double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56),multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56)) ),[1,0],$fot(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))))]]) ).

cnf(refute_0_706,plain,
    ( double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))) != double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56),multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56)) )],[refute_0_704,refute_0_705]) ).

cnf(refute_0_707,plain,
    multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))) )],[refute_0_703,refute_0_706]) ).

cnf(refute_0_708,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) != X_57
    | multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) != multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56)
    | multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = X_57 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56),X_57) ),[0],$fot(multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56))]]) ).

cnf(refute_0_709,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56) != X_57
    | multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = X_57 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56),multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56)) )],[refute_0_707,refute_0_708]) ).

cnf(refute_0_710,plain,
    multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = X_57,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(double_divide(X_55,double_divide(X_13,X_55)),X_56)),inverse(inverse(inverse(X_13)))),X_56),X_57) )],[refute_0_688,refute_0_709]) ).

cnf(refute_0_711,plain,
    multiply(inverse(X_56),inverse(X_13)) = double_divide(X_13,X_56),
    inference(subst,[],[refute_0_443:[bind(X_13,$fot(X_56)),bind(X_45,$fot(X_13))]]) ).

cnf(refute_0_712,plain,
    double_divide(inverse(inverse(X_13)),X_56) = multiply(inverse(X_56),inverse(X_13)),
    inference(subst,[],[refute_0_467:[bind(X_48,$fot(X_56)),bind(X_58,$fot(inverse(X_13)))]]) ).

cnf(refute_0_713,plain,
    ( multiply(inverse(X_56),inverse(X_13)) != double_divide(X_13,X_56)
    | double_divide(inverse(inverse(X_13)),X_56) != multiply(inverse(X_56),inverse(X_13))
    | double_divide(inverse(inverse(X_13)),X_56) = double_divide(X_13,X_56) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(inverse(X_13)),X_56))),bind(Y0,$fot(multiply(inverse(X_56),inverse(X_13)))),bind(Z0,$fot(double_divide(X_13,X_56)))]]) ).

cnf(refute_0_714,plain,
    ( multiply(inverse(X_56),inverse(X_13)) != double_divide(X_13,X_56)
    | double_divide(inverse(inverse(X_13)),X_56) = double_divide(X_13,X_56) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),X_56),multiply(inverse(X_56),inverse(X_13))) )],[refute_0_712,refute_0_713]) ).

cnf(refute_0_715,plain,
    double_divide(inverse(inverse(X_13)),X_56) = double_divide(X_13,X_56),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(X_13)),double_divide(X_13,X_56)) )],[refute_0_711,refute_0_714]) ).

cnf(refute_0_716,plain,
    multiply(double_divide(inverse(inverse(X_13)),X_56),X_57) = multiply(double_divide(inverse(inverse(X_13)),X_56),X_57),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(inverse(X_13)),X_56),X_57))]]) ).

cnf(refute_0_717,plain,
    ( multiply(double_divide(inverse(inverse(X_13)),X_56),X_57) != multiply(double_divide(inverse(inverse(X_13)),X_56),X_57)
    | double_divide(inverse(inverse(X_13)),X_56) != double_divide(X_13,X_56)
    | multiply(double_divide(inverse(inverse(X_13)),X_56),X_57) = multiply(double_divide(X_13,X_56),X_57) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_56),X_57),multiply(double_divide(inverse(inverse(X_13)),X_56),X_57)) ),[1,0],$fot(double_divide(X_13,X_56))]]) ).

cnf(refute_0_718,plain,
    ( double_divide(inverse(inverse(X_13)),X_56) != double_divide(X_13,X_56)
    | multiply(double_divide(inverse(inverse(X_13)),X_56),X_57) = multiply(double_divide(X_13,X_56),X_57) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_56),X_57),multiply(double_divide(inverse(inverse(X_13)),X_56),X_57)) )],[refute_0_716,refute_0_717]) ).

cnf(refute_0_719,plain,
    multiply(double_divide(inverse(inverse(X_13)),X_56),X_57) = multiply(double_divide(X_13,X_56),X_57),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),X_56),double_divide(X_13,X_56)) )],[refute_0_715,refute_0_718]) ).

cnf(refute_0_720,plain,
    inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(double_divide(inverse(inverse(X_13)),X_56),X_57),
    inference(subst,[],[refute_0_18:[bind(X,$fot(double_divide(inverse(inverse(X_13)),X_56))),bind(Y,$fot(X_57))]]) ).

cnf(refute_0_721,plain,
    ( multiply(double_divide(inverse(inverse(X_13)),X_56),X_57) != multiply(double_divide(X_13,X_56),X_57)
    | inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(double_divide(inverse(inverse(X_13)),X_56),X_57)
    | inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(double_divide(X_13,X_56),X_57) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))),bind(Y0,$fot(multiply(double_divide(inverse(inverse(X_13)),X_56),X_57))),bind(Z0,$fot(multiply(double_divide(X_13,X_56),X_57)))]]) ).

cnf(refute_0_722,plain,
    ( multiply(double_divide(inverse(inverse(X_13)),X_56),X_57) != multiply(double_divide(X_13,X_56),X_57)
    | inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(double_divide(X_13,X_56),X_57) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),multiply(double_divide(inverse(inverse(X_13)),X_56),X_57)) )],[refute_0_720,refute_0_721]) ).

cnf(refute_0_723,plain,
    inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(double_divide(X_13,X_56),X_57),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_56),X_57),multiply(double_divide(X_13,X_56),X_57)) )],[refute_0_719,refute_0_722]) ).

cnf(refute_0_724,plain,
    multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    introduced(tautology,[refl,[$fot(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))))]]) ).

cnf(refute_0_725,plain,
    ( multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(double_divide(X_13,X_56),X_57)
    | multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) = multiply(X_13,multiply(double_divide(X_13,X_56),X_57)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) ),[1,1],$fot(multiply(double_divide(X_13,X_56),X_57))]]) ).

cnf(refute_0_726,plain,
    ( inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(double_divide(X_13,X_56),X_57)
    | multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) = multiply(X_13,multiply(double_divide(X_13,X_56),X_57)) ),
    inference(resolve,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_724,refute_0_725]) ).

cnf(refute_0_727,plain,
    multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) = multiply(X_13,multiply(double_divide(X_13,X_56),X_57)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),multiply(double_divide(X_13,X_56),X_57)) )],[refute_0_723,refute_0_726]) ).

cnf(refute_0_728,plain,
    multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),X_13) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    inference(subst,[],[refute_0_650:[bind(X_89,$fot(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))))]]) ).

cnf(refute_0_729,plain,
    double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),X_13),
    inference(subst,[],[refute_0_467:[bind(X_48,$fot(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),bind(X_58,$fot(X_13))]]) ).

cnf(refute_0_730,plain,
    ( multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),X_13) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),X_13)
    | double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))),bind(Y0,$fot(multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),X_13))),bind(Z0,$fot(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))))]]) ).

cnf(refute_0_731,plain,
    ( multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),X_13) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),X_13)) )],[refute_0_729,refute_0_730]) ).

cnf(refute_0_732,plain,
    double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),X_13),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_728,refute_0_731]) ).

cnf(refute_0_733,plain,
    double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)) = double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),
    inference(subst,[],[refute_0_634:[bind(Y,$fot(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),bind(X_83,$fot(inverse(X_13)))]]) ).

cnf(refute_0_734,plain,
    ( double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)) != double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))
    | double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)))),bind(Y0,$fot(double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))),bind(Z0,$fot(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))))]]) ).

cnf(refute_0_735,plain,
    ( double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)),double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) )],[refute_0_733,refute_0_734]) ).

cnf(refute_0_736,plain,
    double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_732,refute_0_735]) ).

cnf(refute_0_737,plain,
    multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) = double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)),
    inference(subst,[],[refute_0_443:[bind(X_13,$fot(inverse(X_13))),bind(X_45,$fot(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))]]) ).

cnf(refute_0_738,plain,
    ( multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) != double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))))),bind(Y0,$fot(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)))),bind(Z0,$fot(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))))]]) ).

cnf(refute_0_739,plain,
    ( double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13))) )],[refute_0_737,refute_0_738]) ).

cnf(refute_0_740,plain,
    multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(X_13)),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_736,refute_0_739]) ).

cnf(refute_0_741,plain,
    multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))) = multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    inference(subst,[],[refute_0_650:[bind(X_13,$fot(inverse(inverse(X_13)))),bind(X_89,$fot(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))))]]) ).

cnf(refute_0_742,plain,
    ( multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))) != multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))))),bind(Y0,$fot(multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))))),bind(Z0,$fot(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))))]]) ).

cnf(refute_0_743,plain,
    ( multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))),multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_741,refute_0_742]) ).

cnf(refute_0_744,plain,
    multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_740,refute_0_743]) ).

cnf(refute_0_745,plain,
    double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))),
    inference(subst,[],[refute_0_467:[bind(X_48,$fot(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),bind(X_58,$fot(inverse(inverse(X_13))))]]) ).

cnf(refute_0_746,plain,
    ( multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13)))
    | double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))),bind(Y0,$fot(multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))))),bind(Z0,$fot(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))))]]) ).

cnf(refute_0_747,plain,
    ( multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13)))) )],[refute_0_745,refute_0_746]) ).

cnf(refute_0_748,plain,
    double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),inverse(inverse(X_13))),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_744,refute_0_747]) ).

cnf(refute_0_749,plain,
    double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) = double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),
    inference(subst,[],[refute_0_634:[bind(Y,$fot(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),bind(X_83,$fot(inverse(inverse(inverse(X_13)))))]]) ).

cnf(refute_0_750,plain,
    ( double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) != double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))
    | double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))))),bind(Y0,$fot(double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))),bind(Z0,$fot(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))))]]) ).

cnf(refute_0_751,plain,
    ( double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) )],[refute_0_749,refute_0_750]) ).

cnf(refute_0_752,plain,
    double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) = multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_748,refute_0_751]) ).

cnf(refute_0_753,plain,
    ( multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) != multiply(X_13,multiply(double_divide(X_13,X_56),X_57))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) != multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) = multiply(X_13,multiply(double_divide(X_13,X_56),X_57)) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))))),bind(Y0,$fot(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))))),bind(Z0,$fot(multiply(X_13,multiply(double_divide(X_13,X_56),X_57))))]]) ).

cnf(refute_0_754,plain,
    ( multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))) != multiply(X_13,multiply(double_divide(X_13,X_56),X_57))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) = multiply(X_13,multiply(double_divide(X_13,X_56),X_57)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))) )],[refute_0_752,refute_0_753]) ).

cnf(refute_0_755,plain,
    double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) = multiply(X_13,multiply(double_divide(X_13,X_56),X_57)),
    inference(resolve,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)))),multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) )],[refute_0_727,refute_0_754]) ).

cnf(refute_0_756,plain,
    multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))) = multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))),
    introduced(tautology,[refl,[$fot(multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))))]]) ).

cnf(refute_0_757,plain,
    ( multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))) != multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))))
    | double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) != multiply(X_13,multiply(double_divide(X_13,X_56),X_57))
    | multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))) = multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))),multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))))) ),[1,1],$fot(multiply(X_13,multiply(double_divide(X_13,X_56),X_57)))]]) ).

cnf(refute_0_758,plain,
    ( double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))) != multiply(X_13,multiply(double_divide(X_13,X_56),X_57))
    | multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))) = multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) ),
    inference(resolve,[$cnf( $equal(multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))),multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))))) )],[refute_0_756,refute_0_757]) ).

cnf(refute_0_759,plain,
    multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))) = multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) )],[refute_0_755,refute_0_758]) ).

cnf(refute_0_760,plain,
    multiply(multiply(inverse(double_divide(Y,X)),X_59),double_divide(Y,X)) = X_59,
    inference(subst,[],[refute_0_304:[bind(X_56,$fot(double_divide(Y,X))),bind(X_57,$fot(X_59))]]) ).

cnf(refute_0_761,plain,
    ( multiply(multiply(inverse(double_divide(Y,X)),X_59),double_divide(Y,X)) != X_59
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)) = X_59 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(double_divide(Y,X)),X_59),double_divide(Y,X)),X_59) ),[0,0,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_762,plain,
    ( multiply(multiply(inverse(double_divide(Y,X)),X_59),double_divide(Y,X)) != X_59
    | multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)) = X_59 ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_18,refute_0_761]) ).

cnf(refute_0_763,plain,
    multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)) = X_59,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(double_divide(Y,X)),X_59),double_divide(Y,X)),X_59) )],[refute_0_760,refute_0_762]) ).

cnf(refute_0_764,plain,
    ( multiply(double_divide(X_55,X_54),X_56) != multiply(X_56,double_divide(X_55,X_54))
    | multiply(X_56,double_divide(X_55,X_54)) = multiply(double_divide(X_55,X_54),X_56) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(double_divide(X_55,X_54),X_56))),bind(Y0,$fot(multiply(X_56,double_divide(X_55,X_54))))]]) ).

cnf(refute_0_765,plain,
    multiply(X_56,double_divide(X_55,X_54)) = multiply(double_divide(X_55,X_54),X_56),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_55,X_54),X_56),multiply(X_56,double_divide(X_55,X_54))) )],[refute_0_586,refute_0_764]) ).

cnf(refute_0_766,plain,
    multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)) = multiply(double_divide(Y,X),multiply(multiply(X,Y),X_59)),
    inference(subst,[],[refute_0_765:[bind(X_54,$fot(X)),bind(X_55,$fot(Y)),bind(X_56,$fot(multiply(multiply(X,Y),X_59)))]]) ).

cnf(refute_0_767,plain,
    ( multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)) != X_59
    | multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)) != multiply(double_divide(Y,X),multiply(multiply(X,Y),X_59))
    | multiply(double_divide(Y,X),multiply(multiply(X,Y),X_59)) = X_59 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)),X_59) ),[0],$fot(multiply(double_divide(Y,X),multiply(multiply(X,Y),X_59)))]]) ).

cnf(refute_0_768,plain,
    ( multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)) != X_59
    | multiply(double_divide(Y,X),multiply(multiply(X,Y),X_59)) = X_59 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)),multiply(double_divide(Y,X),multiply(multiply(X,Y),X_59))) )],[refute_0_766,refute_0_767]) ).

cnf(refute_0_769,plain,
    multiply(double_divide(Y,X),multiply(multiply(X,Y),X_59)) = X_59,
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,Y),X_59),double_divide(Y,X)),X_59) )],[refute_0_763,refute_0_768]) ).

cnf(refute_0_770,plain,
    multiply(double_divide(X_95,X_94),multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95))))) = multiply(X_46,inverse(multiply(X_94,X_95))),
    inference(subst,[],[refute_0_769:[bind(X,$fot(X_94)),bind(Y,$fot(X_95)),bind(X_59,$fot(multiply(X_46,inverse(multiply(X_94,X_95)))))]]) ).

cnf(refute_0_771,plain,
    X_46 = double_divide(double_divide(inverse(X_72),X_46),inverse(X_72)),
    inference(subst,[],[refute_0_509:[bind(X_13,$fot(inverse(X_72)))]]) ).

cnf(refute_0_772,plain,
    multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) = double_divide(double_divide(inverse(X_72),X_46),inverse(X_72)),
    inference(subst,[],[refute_0_619:[bind(X_58,$fot(X_72)),bind(X_70,$fot(double_divide(inverse(X_72),X_46)))]]) ).

cnf(refute_0_773,plain,
    ( multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) != double_divide(double_divide(inverse(X_72),X_46),inverse(X_72))
    | double_divide(double_divide(inverse(X_72),X_46),inverse(X_72)) = multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_72,inverse(double_divide(inverse(X_72),X_46))))),bind(Y0,$fot(double_divide(double_divide(inverse(X_72),X_46),inverse(X_72))))]]) ).

cnf(refute_0_774,plain,
    double_divide(double_divide(inverse(X_72),X_46),inverse(X_72)) = multiply(X_72,inverse(double_divide(inverse(X_72),X_46))),
    inference(resolve,[$cnf( $equal(multiply(X_72,inverse(double_divide(inverse(X_72),X_46))),double_divide(double_divide(inverse(X_72),X_46),inverse(X_72))) )],[refute_0_772,refute_0_773]) ).

cnf(refute_0_775,plain,
    ( X_46 != double_divide(double_divide(inverse(X_72),X_46),inverse(X_72))
    | double_divide(double_divide(inverse(X_72),X_46),inverse(X_72)) != multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))
    | X_46 = multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_46,multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))) ),[0],$fot(double_divide(double_divide(inverse(X_72),X_46),inverse(X_72)))]]) ).

cnf(refute_0_776,plain,
    ( X_46 != double_divide(double_divide(inverse(X_72),X_46),inverse(X_72))
    | X_46 = multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_72),X_46),inverse(X_72)),multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))) )],[refute_0_774,refute_0_775]) ).

cnf(refute_0_777,plain,
    X_46 = multiply(X_72,inverse(double_divide(inverse(X_72),X_46))),
    inference(resolve,[$cnf( $equal(X_46,double_divide(double_divide(inverse(X_72),X_46),inverse(X_72))) )],[refute_0_771,refute_0_776]) ).

cnf(refute_0_778,plain,
    inverse(double_divide(inverse(X_72),X_46)) = multiply(X_46,inverse(X_72)),
    inference(subst,[],[refute_0_18:[bind(X,$fot(X_46)),bind(Y,$fot(inverse(X_72)))]]) ).

cnf(refute_0_779,plain,
    multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) = multiply(X_72,inverse(double_divide(inverse(X_72),X_46))),
    introduced(tautology,[refl,[$fot(multiply(X_72,inverse(double_divide(inverse(X_72),X_46))))]]) ).

cnf(refute_0_780,plain,
    ( multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) != multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))
    | inverse(double_divide(inverse(X_72),X_46)) != multiply(X_46,inverse(X_72))
    | multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) = multiply(X_72,multiply(X_46,inverse(X_72))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_72,inverse(double_divide(inverse(X_72),X_46))),multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))) ),[1,1],$fot(multiply(X_46,inverse(X_72)))]]) ).

cnf(refute_0_781,plain,
    ( inverse(double_divide(inverse(X_72),X_46)) != multiply(X_46,inverse(X_72))
    | multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) = multiply(X_72,multiply(X_46,inverse(X_72))) ),
    inference(resolve,[$cnf( $equal(multiply(X_72,inverse(double_divide(inverse(X_72),X_46))),multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))) )],[refute_0_779,refute_0_780]) ).

cnf(refute_0_782,plain,
    multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) = multiply(X_72,multiply(X_46,inverse(X_72))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_72),X_46)),multiply(X_46,inverse(X_72))) )],[refute_0_778,refute_0_781]) ).

cnf(refute_0_783,plain,
    ( X_46 != multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))
    | multiply(X_72,inverse(double_divide(inverse(X_72),X_46))) != multiply(X_72,multiply(X_46,inverse(X_72)))
    | X_46 = multiply(X_72,multiply(X_46,inverse(X_72))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_46,multiply(X_72,multiply(X_46,inverse(X_72)))) ),[0],$fot(multiply(X_72,inverse(double_divide(inverse(X_72),X_46))))]]) ).

cnf(refute_0_784,plain,
    ( X_46 != multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))
    | X_46 = multiply(X_72,multiply(X_46,inverse(X_72))) ),
    inference(resolve,[$cnf( $equal(multiply(X_72,inverse(double_divide(inverse(X_72),X_46))),multiply(X_72,multiply(X_46,inverse(X_72)))) )],[refute_0_782,refute_0_783]) ).

cnf(refute_0_785,plain,
    X_46 = multiply(X_72,multiply(X_46,inverse(X_72))),
    inference(resolve,[$cnf( $equal(X_46,multiply(X_72,inverse(double_divide(inverse(X_72),X_46)))) )],[refute_0_777,refute_0_784]) ).

cnf(refute_0_786,plain,
    X_46 = multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95)))),
    inference(subst,[],[refute_0_785:[bind(X_72,$fot(multiply(X_94,X_95)))]]) ).

cnf(refute_0_787,plain,
    ( X_46 != multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95))))
    | multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95)))) = X_46 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(X_46)),bind(Y0,$fot(multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95))))))]]) ).

cnf(refute_0_788,plain,
    multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95)))) = X_46,
    inference(resolve,[$cnf( $equal(X_46,multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95))))) )],[refute_0_786,refute_0_787]) ).

cnf(refute_0_789,plain,
    ( multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95)))) != X_46
    | multiply(double_divide(X_95,X_94),multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95))))) != multiply(X_46,inverse(multiply(X_94,X_95)))
    | multiply(double_divide(X_95,X_94),X_46) = multiply(X_46,inverse(multiply(X_94,X_95))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_95,X_94),multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95))))),multiply(X_46,inverse(multiply(X_94,X_95)))) ),[0,1],$fot(X_46)]]) ).

cnf(refute_0_790,plain,
    ( multiply(double_divide(X_95,X_94),multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95))))) != multiply(X_46,inverse(multiply(X_94,X_95)))
    | multiply(double_divide(X_95,X_94),X_46) = multiply(X_46,inverse(multiply(X_94,X_95))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95)))),X_46) )],[refute_0_788,refute_0_789]) ).

cnf(refute_0_791,plain,
    multiply(double_divide(X_95,X_94),X_46) = multiply(X_46,inverse(multiply(X_94,X_95))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_95,X_94),multiply(multiply(X_94,X_95),multiply(X_46,inverse(multiply(X_94,X_95))))),multiply(X_46,inverse(multiply(X_94,X_95)))) )],[refute_0_770,refute_0_790]) ).

cnf(refute_0_792,plain,
    inverse(multiply(X_94,X_95)) = double_divide(X_95,X_94),
    inference(subst,[],[refute_0_574:[bind(X_46,$fot(X_94)),bind(X_47,$fot(X_95))]]) ).

cnf(refute_0_793,plain,
    multiply(X_46,inverse(multiply(X_94,X_95))) = multiply(X_46,inverse(multiply(X_94,X_95))),
    introduced(tautology,[refl,[$fot(multiply(X_46,inverse(multiply(X_94,X_95))))]]) ).

cnf(refute_0_794,plain,
    ( multiply(X_46,inverse(multiply(X_94,X_95))) != multiply(X_46,inverse(multiply(X_94,X_95)))
    | inverse(multiply(X_94,X_95)) != double_divide(X_95,X_94)
    | multiply(X_46,inverse(multiply(X_94,X_95))) = multiply(X_46,double_divide(X_95,X_94)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_46,inverse(multiply(X_94,X_95))),multiply(X_46,inverse(multiply(X_94,X_95)))) ),[1,1],$fot(double_divide(X_95,X_94))]]) ).

cnf(refute_0_795,plain,
    ( inverse(multiply(X_94,X_95)) != double_divide(X_95,X_94)
    | multiply(X_46,inverse(multiply(X_94,X_95))) = multiply(X_46,double_divide(X_95,X_94)) ),
    inference(resolve,[$cnf( $equal(multiply(X_46,inverse(multiply(X_94,X_95))),multiply(X_46,inverse(multiply(X_94,X_95)))) )],[refute_0_793,refute_0_794]) ).

cnf(refute_0_796,plain,
    multiply(X_46,inverse(multiply(X_94,X_95))) = multiply(X_46,double_divide(X_95,X_94)),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_94,X_95)),double_divide(X_95,X_94)) )],[refute_0_792,refute_0_795]) ).

cnf(refute_0_797,plain,
    ( multiply(X_46,inverse(multiply(X_94,X_95))) != multiply(X_46,double_divide(X_95,X_94))
    | multiply(double_divide(X_95,X_94),X_46) != multiply(X_46,inverse(multiply(X_94,X_95)))
    | multiply(double_divide(X_95,X_94),X_46) = multiply(X_46,double_divide(X_95,X_94)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_95,X_94),X_46),multiply(X_46,inverse(multiply(X_94,X_95)))) ),[1],$fot(multiply(X_46,double_divide(X_95,X_94)))]]) ).

cnf(refute_0_798,plain,
    ( multiply(double_divide(X_95,X_94),X_46) != multiply(X_46,inverse(multiply(X_94,X_95)))
    | multiply(double_divide(X_95,X_94),X_46) = multiply(X_46,double_divide(X_95,X_94)) ),
    inference(resolve,[$cnf( $equal(multiply(X_46,inverse(multiply(X_94,X_95))),multiply(X_46,double_divide(X_95,X_94))) )],[refute_0_796,refute_0_797]) ).

cnf(refute_0_799,plain,
    multiply(double_divide(X_95,X_94),X_46) = multiply(X_46,double_divide(X_95,X_94)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_95,X_94),X_46),multiply(X_46,inverse(multiply(X_94,X_95)))) )],[refute_0_791,refute_0_798]) ).

cnf(refute_0_800,plain,
    multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))),
    inference(subst,[],[refute_0_799:[bind(X_46,$fot(X_56)),bind(X_94,$fot(inverse(inverse(inverse(X_13))))),bind(X_95,$fot(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56))))]]) ).

cnf(refute_0_801,plain,
    ( multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))) != multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57)))
    | multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) != multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))))
    | multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) ),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56))),bind(Y0,$fot(multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))))),bind(Z0,$fot(multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57)))))]]) ).

cnf(refute_0_802,plain,
    ( multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))) != multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57)))
    | multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56),multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))))) )],[refute_0_800,refute_0_801]) ).

cnf(refute_0_803,plain,
    multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) = multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))),
    inference(resolve,[$cnf( $equal(multiply(X_56,double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13))))),multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57)))) )],[refute_0_759,refute_0_802]) ).

cnf(refute_0_804,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) != X_57
    | multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) != multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57)))
    | multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) = X_57 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56),X_57) ),[0],$fot(multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))))]]) ).

cnf(refute_0_805,plain,
    ( multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56) != X_57
    | multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) = X_57 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56),multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57)))) )],[refute_0_803,refute_0_804]) ).

cnf(refute_0_806,plain,
    multiply(X_56,multiply(X_13,multiply(double_divide(X_13,X_56),X_57))) = X_57,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_57,double_divide(inverse(inverse(X_13)),X_56)),inverse(inverse(inverse(X_13)))),X_56),X_57) )],[refute_0_710,refute_0_805]) ).

cnf(refute_0_807,plain,
    multiply(X_98,multiply(X_97,multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))))) = multiply(X_46,inverse(double_divide(X_97,X_98))),
    inference(subst,[],[refute_0_806:[bind(X_13,$fot(X_97)),bind(X_56,$fot(X_98)),bind(X_57,$fot(multiply(X_46,inverse(double_divide(X_97,X_98)))))]]) ).

cnf(refute_0_808,plain,
    X_46 = multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))),
    inference(subst,[],[refute_0_785:[bind(X_72,$fot(double_divide(X_97,X_98)))]]) ).

cnf(refute_0_809,plain,
    ( X_46 != multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98))))
    | multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))) = X_46 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(X_46)),bind(Y0,$fot(multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98))))))]]) ).

cnf(refute_0_810,plain,
    multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))) = X_46,
    inference(resolve,[$cnf( $equal(X_46,multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98))))) )],[refute_0_808,refute_0_809]) ).

cnf(refute_0_811,plain,
    ( multiply(X_98,multiply(X_97,multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))))) != multiply(X_46,inverse(double_divide(X_97,X_98)))
    | multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))) != X_46
    | multiply(X_98,multiply(X_97,X_46)) = multiply(X_46,inverse(double_divide(X_97,X_98))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_98,multiply(X_97,multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))))),multiply(X_46,inverse(double_divide(X_97,X_98)))) ),[0,1,1],$fot(X_46)]]) ).

cnf(refute_0_812,plain,
    ( multiply(X_98,multiply(X_97,multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))))) != multiply(X_46,inverse(double_divide(X_97,X_98)))
    | multiply(X_98,multiply(X_97,X_46)) = multiply(X_46,inverse(double_divide(X_97,X_98))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))),X_46) )],[refute_0_810,refute_0_811]) ).

cnf(refute_0_813,plain,
    multiply(X_98,multiply(X_97,X_46)) = multiply(X_46,inverse(double_divide(X_97,X_98))),
    inference(resolve,[$cnf( $equal(multiply(X_98,multiply(X_97,multiply(double_divide(X_97,X_98),multiply(X_46,inverse(double_divide(X_97,X_98)))))),multiply(X_46,inverse(double_divide(X_97,X_98)))) )],[refute_0_807,refute_0_812]) ).

cnf(refute_0_814,plain,
    inverse(double_divide(X_97,X_98)) = multiply(X_98,X_97),
    inference(subst,[],[refute_0_18:[bind(X,$fot(X_98)),bind(Y,$fot(X_97))]]) ).

cnf(refute_0_815,plain,
    multiply(X_46,inverse(double_divide(X_97,X_98))) = multiply(X_46,inverse(double_divide(X_97,X_98))),
    introduced(tautology,[refl,[$fot(multiply(X_46,inverse(double_divide(X_97,X_98))))]]) ).

cnf(refute_0_816,plain,
    ( multiply(X_46,inverse(double_divide(X_97,X_98))) != multiply(X_46,inverse(double_divide(X_97,X_98)))
    | inverse(double_divide(X_97,X_98)) != multiply(X_98,X_97)
    | multiply(X_46,inverse(double_divide(X_97,X_98))) = multiply(X_46,multiply(X_98,X_97)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_46,inverse(double_divide(X_97,X_98))),multiply(X_46,inverse(double_divide(X_97,X_98)))) ),[1,1],$fot(multiply(X_98,X_97))]]) ).

cnf(refute_0_817,plain,
    ( inverse(double_divide(X_97,X_98)) != multiply(X_98,X_97)
    | multiply(X_46,inverse(double_divide(X_97,X_98))) = multiply(X_46,multiply(X_98,X_97)) ),
    inference(resolve,[$cnf( $equal(multiply(X_46,inverse(double_divide(X_97,X_98))),multiply(X_46,inverse(double_divide(X_97,X_98)))) )],[refute_0_815,refute_0_816]) ).

cnf(refute_0_818,plain,
    multiply(X_46,inverse(double_divide(X_97,X_98))) = multiply(X_46,multiply(X_98,X_97)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_97,X_98)),multiply(X_98,X_97)) )],[refute_0_814,refute_0_817]) ).

cnf(refute_0_819,plain,
    ( multiply(X_46,inverse(double_divide(X_97,X_98))) != multiply(X_46,multiply(X_98,X_97))
    | multiply(X_98,multiply(X_97,X_46)) != multiply(X_46,inverse(double_divide(X_97,X_98)))
    | multiply(X_98,multiply(X_97,X_46)) = multiply(X_46,multiply(X_98,X_97)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_98,multiply(X_97,X_46)),multiply(X_46,inverse(double_divide(X_97,X_98)))) ),[1],$fot(multiply(X_46,multiply(X_98,X_97)))]]) ).

cnf(refute_0_820,plain,
    ( multiply(X_98,multiply(X_97,X_46)) != multiply(X_46,inverse(double_divide(X_97,X_98)))
    | multiply(X_98,multiply(X_97,X_46)) = multiply(X_46,multiply(X_98,X_97)) ),
    inference(resolve,[$cnf( $equal(multiply(X_46,inverse(double_divide(X_97,X_98))),multiply(X_46,multiply(X_98,X_97))) )],[refute_0_818,refute_0_819]) ).

cnf(refute_0_821,plain,
    multiply(X_98,multiply(X_97,X_46)) = multiply(X_46,multiply(X_98,X_97)),
    inference(resolve,[$cnf( $equal(multiply(X_98,multiply(X_97,X_46)),multiply(X_46,inverse(double_divide(X_97,X_98)))) )],[refute_0_813,refute_0_820]) ).

cnf(refute_0_822,plain,
    ( multiply(X_98,multiply(X_97,X_46)) != multiply(X_46,multiply(X_98,X_97))
    | multiply(X_46,multiply(X_98,X_97)) = multiply(X_98,multiply(X_97,X_46)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_98,multiply(X_97,X_46)))),bind(Y0,$fot(multiply(X_46,multiply(X_98,X_97))))]]) ).

cnf(refute_0_823,plain,
    multiply(X_46,multiply(X_98,X_97)) = multiply(X_98,multiply(X_97,X_46)),
    inference(resolve,[$cnf( $equal(multiply(X_98,multiply(X_97,X_46)),multiply(X_46,multiply(X_98,X_97))) )],[refute_0_821,refute_0_822]) ).

cnf(refute_0_824,plain,
    multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
    inference(subst,[],[refute_0_823:[bind(X_46,$fot(c3)),bind(X_97,$fot(b3)),bind(X_98,$fot(a3))]]) ).

cnf(refute_0_825,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_826,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_824,refute_0_825]) ).

cnf(refute_0_827,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_826,refute_0_683]) ).

cnf(refute_0_828,plain,
    multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_829,plain,
    $false,
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_828,refute_0_827]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP101-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 23:50:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  
% 0.19/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.61  
%------------------------------------------------------------------------------