%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP078-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 10:34:33 EDT 2022

% Result   : Unsatisfiable 0.21s 0.44s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   77
%            Number of leaves      :  124
% Syntax   : Number of clauses     :  404 ( 203 unt;   0 nHn; 214 RR)
%            Number of literals    :  702 ( 701 equ; 306 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  669 (   0 sgn)

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

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)) ) ).

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(a1),a1) = inverse(identity),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(a1))]]) ).

cnf(refute_0_17,plain,
    ( multiply(inverse(a1),a1) != inverse(identity)
    | inverse(identity) != identity
    | multiply(inverse(a1),a1) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(inverse(identity))]]) ).

cnf(refute_0_18,plain,
    ( inverse(identity) != identity
    | multiply(inverse(a1),a1) = identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),inverse(identity)) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(identity,a2) != a2
    | inverse(identity) != identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_18,prove_these_axioms]) ).

cnf(refute_0_20,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_21,plain,
    inverse(X_3) = double_divide(X_3,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_22,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_23,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,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_25,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_23,refute_0_24]) ).

cnf(refute_0_26,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_20,refute_0_25]) ).

cnf(refute_0_27,plain,
    multiply(identity,a2) = inverse(inverse(a2)),
    inference(subst,[],[refute_0_26:[bind(X_3,$fot(a2))]]) ).

cnf(refute_0_28,plain,
    ( multiply(identity,a2) != inverse(inverse(a2))
    | inverse(inverse(a2)) != a2
    | multiply(identity,a2) = a2 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(inverse(inverse(a2)))]]) ).

cnf(refute_0_29,plain,
    ( inverse(inverse(a2)) != a2
    | multiply(identity,a2) = a2 ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),inverse(inverse(a2))) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | inverse(identity) != identity
    | inverse(inverse(a2)) != a2 ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_29,refute_0_19]) ).

cnf(refute_0_31,plain,
    double_divide(double_divide(X,Y),identity) = inverse(double_divide(X,Y)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X,Y)))]]) ).

cnf(refute_0_32,plain,
    double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)) = double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))]]) ).

cnf(refute_0_33,plain,
    ( double_divide(double_divide(X,Y),identity) != inverse(double_divide(X,Y))
    | double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)) != double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))
    | double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)) = double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)),double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) ),[1,0],$fot(inverse(double_divide(X,Y)))]]) ).

cnf(refute_0_34,plain,
    ( double_divide(double_divide(X,Y),identity) != inverse(double_divide(X,Y))
    | double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)) = double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)),double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)) = double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,Y),identity),inverse(double_divide(X,Y))) )],[refute_0_31,refute_0_34]) ).

cnf(refute_0_36,plain,
    double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) = double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))))]]) ).

cnf(refute_0_37,plain,
    ( double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)) != double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))
    | double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) != double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))
    | double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) = double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) ),[1,1],$fot(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))]]) ).

cnf(refute_0_38,plain,
    ( double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)) != double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))
    | double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) = double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) = double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)),double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) )],[refute_0_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))))]]) ).

cnf(refute_0_41,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) != double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))))
    | double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) != double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))))) ),[1,1],$fot(double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))))]]) ).

cnf(refute_0_42,plain,
    ( double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))) != double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))))) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y))),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) )],[refute_0_39,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) != Z
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) != double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) = Z ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))),Z) ),[0],$fot(double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))))]]) ).

cnf(refute_0_45,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) != Z
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) = Z ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))))) )],[refute_0_43,refute_0_44]) ).

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

cnf(refute_0_47,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_48,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_47]) ).

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

cnf(refute_0_50,plain,
    double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) = double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))]]) ).

cnf(refute_0_51,plain,
    ( double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) != double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))
    | inverse(double_divide(X,Y)) != multiply(Y,X)
    | double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) = double_divide(multiply(Y,X),double_divide(Z,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)),double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) ),[1,0],$fot(multiply(Y,X))]]) ).

cnf(refute_0_52,plain,
    ( inverse(double_divide(X,Y)) != multiply(Y,X)
    | double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) = double_divide(multiply(Y,X),double_divide(Z,Y)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)),double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) = double_divide(multiply(Y,X),double_divide(Z,Y)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X,Y)),multiply(Y,X)) )],[refute_0_49,refute_0_52]) ).

cnf(refute_0_54,plain,
    double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))))]]) ).

cnf(refute_0_55,plain,
    ( double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) != double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))
    | double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) != double_divide(multiply(Y,X),double_divide(Z,Y))
    | double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) ),[1,1],$fot(double_divide(multiply(Y,X),double_divide(Z,Y)))]]) ).

cnf(refute_0_56,plain,
    ( double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)) != double_divide(multiply(Y,X),double_divide(Z,Y))
    | double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)),double_divide(multiply(Y,X),double_divide(Z,Y))) )],[refute_0_53,refute_0_56]) ).

cnf(refute_0_58,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))))]]) ).

cnf(refute_0_59,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) != double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))))
    | double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) != double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))))) ),[1,1],$fot(double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y))))]]) ).

cnf(refute_0_60,plain,
    ( double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) != double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))))) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))) )],[refute_0_57,refute_0_60]) ).

cnf(refute_0_62,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) != Z
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) != double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y))))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))) = Z ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))),Z) ),[0],$fot(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))))]]) ).

cnf(refute_0_63,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) != Z
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))) = Z ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y))))) )],[refute_0_61,refute_0_62]) ).

cnf(refute_0_64,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(Y,X),double_divide(Z,Y)))) = Z,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))),Z) )],[refute_0_46,refute_0_63]) ).

cnf(refute_0_65,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))) = X_12,
    inference(subst,[],[refute_0_64:[bind(X,$fot(X_10)),bind(Y,$fot(inverse(X_12))),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_66,plain,
    identity = double_divide(X_12,inverse(X_12)),
    inference(subst,[],[identity:[bind(X,$fot(X_12))]]) ).

cnf(refute_0_67,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_68,plain,
    double_divide(X_12,inverse(X_12)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_12,inverse(X_12))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    ( double_divide(X_12,inverse(X_12)) != identity
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))),X_12) ),[0,1,1,1],$fot(identity)]]) ).

cnf(refute_0_70,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(X_12)),identity) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))),X_12) )],[refute_0_65,refute_0_70]) ).

cnf(refute_0_72,plain,
    double_divide(multiply(inverse(X_12),X_10),identity) = inverse(multiply(inverse(X_12),X_10)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(inverse(X_12),X_10)))]]) ).

cnf(refute_0_73,plain,
    double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) = double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)))]]) ).

cnf(refute_0_74,plain,
    ( double_divide(multiply(inverse(X_12),X_10),identity) != inverse(multiply(inverse(X_12),X_10))
    | double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) != double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))
    | double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) = double_divide(identity,inverse(multiply(inverse(X_12),X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) ),[1,1],$fot(inverse(multiply(inverse(X_12),X_10)))]]) ).

cnf(refute_0_75,plain,
    ( double_divide(multiply(inverse(X_12),X_10),identity) != inverse(multiply(inverse(X_12),X_10))
    | double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) = double_divide(identity,inverse(multiply(inverse(X_12),X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) = double_divide(identity,inverse(multiply(inverse(X_12),X_10))),
    inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_12),X_10),identity),inverse(multiply(inverse(X_12),X_10))) )],[refute_0_72,refute_0_75]) ).

cnf(refute_0_77,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))))]]) ).

cnf(refute_0_78,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)))
    | double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) != double_divide(identity,inverse(multiply(inverse(X_12),X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)))) ),[1,1],$fot(double_divide(identity,inverse(multiply(inverse(X_12),X_10))))]]) ).

cnf(refute_0_79,plain,
    ( double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) != double_divide(identity,inverse(multiply(inverse(X_12),X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)))) )],[refute_0_77,refute_0_78]) ).

cnf(refute_0_80,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) )],[refute_0_76,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) != double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),X_12) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))))]]) ).

cnf(refute_0_82,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10))))) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),X_12) )],[refute_0_71,refute_0_82]) ).

cnf(refute_0_84,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))) = X_13,
    inference(subst,[],[refute_0_83:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X_13))]]) ).

cnf(refute_0_85,plain,
    multiply(inverse(X_13),X_13) = inverse(identity),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_13))]]) ).

cnf(refute_0_86,plain,
    ( multiply(inverse(X_13),X_13) != inverse(identity)
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))) != X_13
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))),X_13) ),[0,1,1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_87,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))) != X_13
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = X_13 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_13),X_13),inverse(identity)) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))),X_13) )],[refute_0_84,refute_0_87]) ).

cnf(refute_0_89,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) = double_divide(identity,inverse(inverse(identity))),
    inference(subst,[],[refute_0_88:[bind(X_13,$fot(double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_90,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(inverse(identity)))) = inverse(identity),
    inference(subst,[],[refute_0_88:[bind(X_13,$fot(inverse(identity)))]]) ).

cnf(refute_0_91,plain,
    identity = double_divide(identity,inverse(identity)),
    inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).

cnf(refute_0_92,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_93,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    ( double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(inverse(identity)))) != inverse(identity)
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(inverse(identity)))),inverse(identity)) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_95,plain,
    ( double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(inverse(identity)))) != inverse(identity)
    | double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(inverse(identity)))),inverse(identity)) )],[refute_0_90,refute_0_95]) ).

cnf(refute_0_97,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) != double_divide(identity,inverse(inverse(identity)))
    | double_divide(identity,double_divide(identity,inverse(inverse(identity)))) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(identity,inverse(inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) ),[0,0],$fot(inverse(identity))]]) ).

cnf(refute_0_98,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) != double_divide(identity,inverse(inverse(identity)))
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(identity,inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),inverse(identity)) )],[refute_0_96,refute_0_97]) ).

cnf(refute_0_99,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(identity,inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_89,refute_0_98]) ).

cnf(refute_0_100,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,inverse(inverse(identity)))) = identity,
    inference(subst,[],[refute_0_88:[bind(X_13,$fot(identity))]]) ).

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

cnf(refute_0_102,plain,
    ( inverse(identity) != double_divide(identity,identity)
    | double_divide(identity,identity) = inverse(identity) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(double_divide(identity,identity)))]]) ).

cnf(refute_0_103,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(resolve,[$cnf( $equal(inverse(identity),double_divide(identity,identity)) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,inverse(inverse(identity)))) != identity
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,inverse(inverse(identity)))),identity) ),[0,0],$fot(inverse(identity))]]) ).

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

cnf(refute_0_106,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,inverse(inverse(identity)))),identity) )],[refute_0_100,refute_0_105]) ).

cnf(refute_0_107,plain,
    ( double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(identity,inverse(inverse(identity)))
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != identity
    | identity = double_divide(identity,inverse(inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) ),[0],$fot(identity)]]) ).

cnf(refute_0_108,plain,
    ( double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(identity,inverse(inverse(identity)))
    | identity = double_divide(identity,inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) )],[refute_0_106,refute_0_107]) ).

cnf(refute_0_109,plain,
    identity = double_divide(identity,inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_99,refute_0_108]) ).

cnf(refute_0_110,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))) = X_12,
    inference(subst,[],[refute_0_64:[bind(X,$fot(X_10)),bind(Y,$fot(identity)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_111,plain,
    inverse(X_12) = double_divide(X_12,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_12))]]) ).

cnf(refute_0_112,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_113,plain,
    double_divide(X_12,identity) = inverse(X_12),
    inference(resolve,[$cnf( $equal(inverse(X_12),double_divide(X_12,identity)) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    ( double_divide(X_12,identity) != inverse(X_12)
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))),X_12) ),[0,1,1,1],$fot(inverse(X_12))]]) ).

cnf(refute_0_115,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_113,refute_0_114]) ).

cnf(refute_0_116,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))),X_12) )],[refute_0_110,refute_0_115]) ).

cnf(refute_0_117,plain,
    multiply(identity,X_10) = inverse(inverse(X_10)),
    inference(subst,[],[refute_0_26:[bind(X_3,$fot(X_10))]]) ).

cnf(refute_0_118,plain,
    double_divide(multiply(identity,X_10),inverse(X_12)) = double_divide(multiply(identity,X_10),inverse(X_12)),
    introduced(tautology,[refl,[$fot(double_divide(multiply(identity,X_10),inverse(X_12)))]]) ).

cnf(refute_0_119,plain,
    ( multiply(identity,X_10) != inverse(inverse(X_10))
    | double_divide(multiply(identity,X_10),inverse(X_12)) != double_divide(multiply(identity,X_10),inverse(X_12))
    | double_divide(multiply(identity,X_10),inverse(X_12)) = double_divide(inverse(inverse(X_10)),inverse(X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(identity,X_10),inverse(X_12)),double_divide(multiply(identity,X_10),inverse(X_12))) ),[1,0],$fot(inverse(inverse(X_10)))]]) ).

cnf(refute_0_120,plain,
    ( multiply(identity,X_10) != inverse(inverse(X_10))
    | double_divide(multiply(identity,X_10),inverse(X_12)) = double_divide(inverse(inverse(X_10)),inverse(X_12)) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(identity,X_10),inverse(X_12)),double_divide(multiply(identity,X_10),inverse(X_12))) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    double_divide(multiply(identity,X_10),inverse(X_12)) = double_divide(inverse(inverse(X_10)),inverse(X_12)),
    inference(resolve,[$cnf( $equal(multiply(identity,X_10),inverse(inverse(X_10))) )],[refute_0_117,refute_0_120]) ).

cnf(refute_0_122,plain,
    double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) = double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))))]]) ).

cnf(refute_0_123,plain,
    ( double_divide(multiply(identity,X_10),inverse(X_12)) != double_divide(inverse(inverse(X_10)),inverse(X_12))
    | double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) != double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))
    | double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) = double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) ),[1,1],$fot(double_divide(inverse(inverse(X_10)),inverse(X_12)))]]) ).

cnf(refute_0_124,plain,
    ( double_divide(multiply(identity,X_10),inverse(X_12)) != double_divide(inverse(inverse(X_10)),inverse(X_12))
    | double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) = double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) = double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))),
    inference(resolve,[$cnf( $equal(double_divide(multiply(identity,X_10),inverse(X_12)),double_divide(inverse(inverse(X_10)),inverse(X_12))) )],[refute_0_121,refute_0_124]) ).

cnf(refute_0_126,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))))]]) ).

cnf(refute_0_127,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))))
    | double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) != double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))))) ),[1,1],$fot(double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))))]]) ).

cnf(refute_0_128,plain,
    ( double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) != double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))))) )],[refute_0_126,refute_0_127]) ).

cnf(refute_0_129,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) )],[refute_0_125,refute_0_128]) ).

cnf(refute_0_130,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),X_12) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))))]]) ).

cnf(refute_0_131,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))))) )],[refute_0_129,refute_0_130]) ).

cnf(refute_0_132,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),X_12) )],[refute_0_116,refute_0_131]) ).

cnf(refute_0_133,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),double_divide(double_divide(identity,X_15),double_divide(identity,inverse(inverse(identity))))))) = double_divide(identity,X_15),
    inference(subst,[],[refute_0_64:[bind(Y,$fot(double_divide(identity,inverse(inverse(identity))))),bind(Z,$fot(double_divide(identity,X_15)))]]) ).

cnf(refute_0_134,plain,
    double_divide(double_divide(identity,X_15),double_divide(identity,inverse(inverse(identity)))) = X_15,
    inference(subst,[],[refute_0_88:[bind(X_13,$fot(X_15))]]) ).

cnf(refute_0_135,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),double_divide(double_divide(identity,X_15),double_divide(identity,inverse(inverse(identity))))))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X_15),double_divide(identity,inverse(inverse(identity)))) != X_15
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),double_divide(double_divide(identity,X_15),double_divide(identity,inverse(inverse(identity))))))),double_divide(identity,X_15)) ),[0,1,1,1],$fot(X_15)]]) ).

cnf(refute_0_136,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),double_divide(double_divide(identity,X_15),double_divide(identity,inverse(inverse(identity))))))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),double_divide(identity,inverse(inverse(identity)))),X_15) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),double_divide(double_divide(identity,X_15),double_divide(identity,inverse(inverse(identity))))))),double_divide(identity,X_15)) )],[refute_0_133,refute_0_136]) ).

cnf(refute_0_138,plain,
    multiply(identity,X) = inverse(inverse(X)),
    inference(subst,[],[refute_0_26:[bind(X_3,$fot(X))]]) ).

cnf(refute_0_139,plain,
    ( identity != double_divide(identity,inverse(inverse(identity)))
    | double_divide(identity,inverse(inverse(identity))) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_140,plain,
    double_divide(identity,inverse(inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(inverse(identity)))) )],[refute_0_109,refute_0_139]) ).

cnf(refute_0_141,plain,
    multiply(double_divide(identity,inverse(inverse(identity))),X) = multiply(double_divide(identity,inverse(inverse(identity))),X),
    introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(inverse(identity))),X))]]) ).

cnf(refute_0_142,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),X) != multiply(double_divide(identity,inverse(inverse(identity))),X)
    | double_divide(identity,inverse(inverse(identity))) != identity
    | multiply(double_divide(identity,inverse(inverse(identity))),X) = multiply(identity,X) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),X),multiply(double_divide(identity,inverse(inverse(identity))),X)) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_143,plain,
    ( double_divide(identity,inverse(inverse(identity))) != identity
    | multiply(double_divide(identity,inverse(inverse(identity))),X) = multiply(identity,X) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),X),multiply(double_divide(identity,inverse(inverse(identity))),X)) )],[refute_0_141,refute_0_142]) ).

cnf(refute_0_144,plain,
    multiply(double_divide(identity,inverse(inverse(identity))),X) = multiply(identity,X),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),identity) )],[refute_0_140,refute_0_143]) ).

cnf(refute_0_145,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_146,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_145]) ).

cnf(refute_0_147,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),X) != multiply(identity,X)
    | multiply(identity,X) != inverse(inverse(X))
    | multiply(double_divide(identity,inverse(inverse(identity))),X) = inverse(inverse(X)) ),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(multiply(double_divide(identity,inverse(inverse(identity))),X))),bind(Y0,$fot(multiply(identity,X))),bind(Z0,$fot(inverse(inverse(X))))]]) ).

cnf(refute_0_148,plain,
    ( multiply(identity,X) != inverse(inverse(X))
    | multiply(double_divide(identity,inverse(inverse(identity))),X) = inverse(inverse(X)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),X),multiply(identity,X)) )],[refute_0_144,refute_0_147]) ).

cnf(refute_0_149,plain,
    multiply(double_divide(identity,inverse(inverse(identity))),X) = inverse(inverse(X)),
    inference(resolve,[$cnf( $equal(multiply(identity,X),inverse(inverse(X))) )],[refute_0_138,refute_0_148]) ).

cnf(refute_0_150,plain,
    double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15) = double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15),
    introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))]]) ).

cnf(refute_0_151,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),X) != inverse(inverse(X))
    | double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15) != double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)
    | double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15) = double_divide(inverse(inverse(X)),X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15),double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) ),[1,0],$fot(inverse(inverse(X)))]]) ).

cnf(refute_0_152,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),X) != inverse(inverse(X))
    | double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15) = double_divide(inverse(inverse(X)),X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15),double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15) = double_divide(inverse(inverse(X)),X_15),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),X),inverse(inverse(X))) )],[refute_0_149,refute_0_152]) ).

cnf(refute_0_154,plain,
    double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) = double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)))]]) ).

cnf(refute_0_155,plain,
    ( double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15) != double_divide(inverse(inverse(X)),X_15)
    | double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) != double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))
    | double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) = double_divide(identity,double_divide(inverse(inverse(X)),X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) ),[1,1],$fot(double_divide(inverse(inverse(X)),X_15))]]) ).

cnf(refute_0_156,plain,
    ( double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15) != double_divide(inverse(inverse(X)),X_15)
    | double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) = double_divide(identity,double_divide(inverse(inverse(X)),X_15)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) = double_divide(identity,double_divide(inverse(inverse(X)),X_15)),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15),double_divide(inverse(inverse(X)),X_15)) )],[refute_0_153,refute_0_156]) ).

cnf(refute_0_158,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))))]]) ).

cnf(refute_0_159,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) != double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)))
    | double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) != double_divide(identity,double_divide(inverse(inverse(X)),X_15))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)))) ),[1,1],$fot(double_divide(identity,double_divide(inverse(inverse(X)),X_15)))]]) ).

cnf(refute_0_160,plain,
    ( double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)) != double_divide(identity,double_divide(inverse(inverse(X)),X_15))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)))) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) = double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15)),double_divide(identity,double_divide(inverse(inverse(X)),X_15))) )],[refute_0_157,refute_0_160]) ).

cnf(refute_0_162,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) != double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15)))
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15))) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))),double_divide(identity,X_15)) ),[0],$fot(double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15))))]]) ).

cnf(refute_0_163,plain,
    ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15))) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))),double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15)))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),X_15))) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),X),X_15))),double_divide(identity,X_15)) )],[refute_0_137,refute_0_163]) ).

cnf(refute_0_165,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) = double_divide(identity,inverse(X_12)),
    inference(subst,[],[refute_0_164:[bind(X,$fot(X_10)),bind(X_15,$fot(inverse(X_12)))]]) ).

cnf(refute_0_166,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) != double_divide(identity,inverse(X_12))
    | double_divide(identity,inverse(X_12)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))),X_12) ),[0],$fot(double_divide(identity,inverse(X_12)))]]) ).

cnf(refute_0_167,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) != X_12
    | double_divide(identity,inverse(X_12)) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))),double_divide(identity,inverse(X_12))) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    double_divide(identity,inverse(X_12)) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))),X_12) )],[refute_0_132,refute_0_167]) ).

cnf(refute_0_169,plain,
    double_divide(identity,inverse(inverse(identity))) = inverse(identity),
    inference(subst,[],[refute_0_168:[bind(X_12,$fot(inverse(identity)))]]) ).

cnf(refute_0_170,plain,
    ( double_divide(identity,inverse(inverse(identity))) != inverse(identity)
    | identity != double_divide(identity,inverse(inverse(identity)))
    | identity = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(identity,inverse(inverse(identity)))) ),[1],$fot(inverse(identity))]]) ).

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

cnf(refute_0_172,plain,
    identity = inverse(identity),
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(inverse(identity)))) )],[refute_0_109,refute_0_171]) ).

cnf(refute_0_173,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_175,plain,
    ( identity != identity
    | inverse(identity) != identity
    | inverse(identity) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(identity),identity) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_176,plain,
    ( identity != identity
    | inverse(identity) = identity ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_174,refute_0_175]) ).

cnf(refute_0_177,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | identity != identity
    | inverse(inverse(a2)) != a2 ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_176,refute_0_30]) ).

cnf(refute_0_178,plain,
    identity = identity,
    introduced(tautology,[refl,[$fot(identity)]]) ).

cnf(refute_0_179,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | inverse(inverse(a2)) != a2 ),
    inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_178,refute_0_177]) ).

cnf(refute_0_180,plain,
    multiply(double_divide(identity,X_22),identity) = inverse(double_divide(identity,double_divide(identity,X_22))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(double_divide(identity,X_22))),bind(Y,$fot(identity))]]) ).

cnf(refute_0_181,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_10),X_10),double_divide(X_12,inverse(X_10))))) = X_12,
    inference(subst,[],[refute_0_64:[bind(X,$fot(X_10)),bind(Y,$fot(inverse(X_10))),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_182,plain,
    multiply(inverse(X_10),X_10) = inverse(identity),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_10))]]) ).

cnf(refute_0_183,plain,
    ( multiply(inverse(X_10),X_10) != inverse(identity)
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_10),X_10),double_divide(X_12,inverse(X_10))))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_10),X_10),double_divide(X_12,inverse(X_10))))),X_12) ),[0,1,1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_184,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_10),X_10),double_divide(X_12,inverse(X_10))))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) = X_12 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_10),X_10),inverse(identity)) )],[refute_0_182,refute_0_183]) ).

cnf(refute_0_185,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_10),X_10),double_divide(X_12,inverse(X_10))))),X_12) )],[refute_0_181,refute_0_184]) ).

cnf(refute_0_186,plain,
    double_divide(inverse(identity),double_divide(X_12,inverse(X_10))) = double_divide(inverse(identity),double_divide(X_12,inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))]]) ).

cnf(refute_0_187,plain,
    ( double_divide(inverse(identity),double_divide(X_12,inverse(X_10))) != double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))
    | inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(X_12,inverse(X_10))) = double_divide(identity,double_divide(X_12,inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(X_12,inverse(X_10))),double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_188,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(X_12,inverse(X_10))) = double_divide(identity,double_divide(X_12,inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(X_12,inverse(X_10))),double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    double_divide(inverse(identity),double_divide(X_12,inverse(X_10))) = double_divide(identity,double_divide(X_12,inverse(X_10))),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_174,refute_0_188]) ).

cnf(refute_0_190,plain,
    double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) = double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))))]]) ).

cnf(refute_0_191,plain,
    ( double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) != double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))
    | double_divide(inverse(identity),double_divide(X_12,inverse(X_10))) != double_divide(identity,double_divide(X_12,inverse(X_10)))
    | double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) = double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) ),[1,1],$fot(double_divide(identity,double_divide(X_12,inverse(X_10))))]]) ).

cnf(refute_0_192,plain,
    ( double_divide(inverse(identity),double_divide(X_12,inverse(X_10))) != double_divide(identity,double_divide(X_12,inverse(X_10)))
    | double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) = double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10)))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) )],[refute_0_190,refute_0_191]) ).

cnf(refute_0_193,plain,
    double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) = double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10)))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(X_12,inverse(X_10))),double_divide(identity,double_divide(X_12,inverse(X_10)))) )],[refute_0_189,refute_0_192]) ).

cnf(refute_0_194,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))))]]) ).

cnf(refute_0_195,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))))
    | double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) != double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))))) ),[1,1],$fot(double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10)))))]]) ).

cnf(refute_0_196,plain,
    ( double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))) != double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))))) )],[refute_0_194,refute_0_195]) ).

cnf(refute_0_197,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10)))),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))) )],[refute_0_193,refute_0_196]) ).

cnf(refute_0_198,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10)))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))),X_12) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))))]]) ).

cnf(refute_0_199,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10)))))) )],[refute_0_197,refute_0_198]) ).

cnf(refute_0_200,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(identity,double_divide(X_12,inverse(X_10))))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(X_10))))),X_12) )],[refute_0_185,refute_0_199]) ).

cnf(refute_0_201,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) = X_19,
    inference(subst,[],[refute_0_200:[bind(X_10,$fot(identity)),bind(X_12,$fot(X_19))]]) ).

cnf(refute_0_202,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) != X_19
    | inverse(identity) != identity
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = X_19 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,inverse(identity))))),X_19) ),[0,1,1,1,1],$fot(identity)]]) ).

cnf(refute_0_203,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) != X_19
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = X_19 ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_174,refute_0_202]) ).

cnf(refute_0_204,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = X_19,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,inverse(identity))))),X_19) )],[refute_0_201,refute_0_203]) ).

cnf(refute_0_205,plain,
    double_divide(identity,inverse(X_19)) = X_19,
    inference(subst,[],[refute_0_168:[bind(X_12,$fot(X_19))]]) ).

cnf(refute_0_206,plain,
    double_divide(X_19,identity) = inverse(X_19),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_19))]]) ).

cnf(refute_0_207,plain,
    double_divide(identity,double_divide(X_19,identity)) = double_divide(identity,double_divide(X_19,identity)),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_19,identity)))]]) ).

cnf(refute_0_208,plain,
    ( double_divide(X_19,identity) != inverse(X_19)
    | double_divide(identity,double_divide(X_19,identity)) != double_divide(identity,double_divide(X_19,identity))
    | double_divide(identity,double_divide(X_19,identity)) = double_divide(identity,inverse(X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(X_19,identity)),double_divide(identity,double_divide(X_19,identity))) ),[1,1],$fot(inverse(X_19))]]) ).

cnf(refute_0_209,plain,
    ( double_divide(X_19,identity) != inverse(X_19)
    | double_divide(identity,double_divide(X_19,identity)) = double_divide(identity,inverse(X_19)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_19,identity)),double_divide(identity,double_divide(X_19,identity))) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    double_divide(identity,double_divide(X_19,identity)) = double_divide(identity,inverse(X_19)),
    inference(resolve,[$cnf( $equal(double_divide(X_19,identity),inverse(X_19)) )],[refute_0_206,refute_0_209]) ).

cnf(refute_0_211,plain,
    ( double_divide(identity,double_divide(X_19,identity)) != double_divide(identity,inverse(X_19))
    | double_divide(identity,inverse(X_19)) != X_19
    | double_divide(identity,double_divide(X_19,identity)) = X_19 ),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(double_divide(identity,double_divide(X_19,identity)))),bind(Y0,$fot(double_divide(identity,inverse(X_19)))),bind(Z0,$fot(X_19))]]) ).

cnf(refute_0_212,plain,
    ( double_divide(identity,inverse(X_19)) != X_19
    | double_divide(identity,double_divide(X_19,identity)) = X_19 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_19,identity)),double_divide(identity,inverse(X_19))) )],[refute_0_210,refute_0_211]) ).

cnf(refute_0_213,plain,
    double_divide(identity,double_divide(X_19,identity)) = X_19,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_19)),X_19) )],[refute_0_205,refute_0_212]) ).

cnf(refute_0_214,plain,
    double_divide(identity,double_divide(identity,double_divide(X_19,identity))) = double_divide(identity,double_divide(identity,double_divide(X_19,identity))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,double_divide(X_19,identity))))]]) ).

cnf(refute_0_215,plain,
    ( double_divide(identity,double_divide(X_19,identity)) != X_19
    | double_divide(identity,double_divide(identity,double_divide(X_19,identity))) != double_divide(identity,double_divide(identity,double_divide(X_19,identity)))
    | double_divide(identity,double_divide(identity,double_divide(X_19,identity))) = double_divide(identity,X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_19,identity))),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) ),[1,1],$fot(X_19)]]) ).

cnf(refute_0_216,plain,
    ( double_divide(identity,double_divide(X_19,identity)) != X_19
    | double_divide(identity,double_divide(identity,double_divide(X_19,identity))) = double_divide(identity,X_19) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_19,identity))),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    double_divide(identity,double_divide(identity,double_divide(X_19,identity))) = double_divide(identity,X_19),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_19,identity)),X_19) )],[refute_0_213,refute_0_216]) ).

cnf(refute_0_218,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))))]]) ).

cnf(refute_0_219,plain,
    ( double_divide(identity,double_divide(identity,double_divide(X_19,identity))) != double_divide(identity,X_19)
    | double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) != double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity))))
    | double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity))))) ),[1,1],$fot(double_divide(identity,X_19))]]) ).

cnf(refute_0_220,plain,
    ( double_divide(identity,double_divide(identity,double_divide(X_19,identity))) != double_divide(identity,X_19)
    | double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,X_19)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity))))) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,X_19)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_19,identity))),double_divide(identity,X_19)) )],[refute_0_217,refute_0_220]) ).

cnf(refute_0_222,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | inverse(identity) != identity
    | double_divide(identity,identity) = identity ),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(double_divide(identity,identity))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).

cnf(refute_0_223,plain,
    ( inverse(identity) != identity
    | double_divide(identity,identity) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_103,refute_0_222]) ).

cnf(refute_0_224,plain,
    double_divide(identity,identity) = identity,
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_174,refute_0_223]) ).

cnf(refute_0_225,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))))]]) ).

cnf(refute_0_226,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) != double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity))))
    | double_divide(identity,identity) != identity
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity))))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_227,plain,
    ( double_divide(identity,identity) != identity
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity))))) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),identity) )],[refute_0_224,refute_0_227]) ).

cnf(refute_0_229,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) != double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity))))
    | double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) != double_divide(identity,double_divide(identity,X_19))
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,X_19)) ),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))))),bind(Y0,$fot(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))))),bind(Z0,$fot(double_divide(identity,double_divide(identity,X_19))))]]) ).

cnf(refute_0_230,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) != double_divide(identity,double_divide(identity,X_19))
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,X_19)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity))))) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) = double_divide(identity,double_divide(identity,X_19)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),double_divide(identity,double_divide(identity,X_19))) )],[refute_0_221,refute_0_230]) ).

cnf(refute_0_232,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) != X_19
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) != double_divide(identity,double_divide(identity,X_19))
    | double_divide(identity,double_divide(identity,X_19)) = X_19 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),X_19) ),[0],$fot(double_divide(identity,double_divide(identity,X_19)))]]) ).

cnf(refute_0_233,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))) != X_19
    | double_divide(identity,double_divide(identity,X_19)) = X_19 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),double_divide(identity,double_divide(identity,X_19))) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    double_divide(identity,double_divide(identity,X_19)) = X_19,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X_19,identity)))),X_19) )],[refute_0_204,refute_0_233]) ).

cnf(refute_0_235,plain,
    double_divide(identity,double_divide(identity,X_22)) = X_22,
    inference(subst,[],[refute_0_234:[bind(X_19,$fot(X_22))]]) ).

cnf(refute_0_236,plain,
    ( multiply(double_divide(identity,X_22),identity) != inverse(double_divide(identity,double_divide(identity,X_22)))
    | double_divide(identity,double_divide(identity,X_22)) != X_22
    | multiply(double_divide(identity,X_22),identity) = inverse(X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_22),identity),inverse(double_divide(identity,double_divide(identity,X_22)))) ),[1,0],$fot(X_22)]]) ).

cnf(refute_0_237,plain,
    ( multiply(double_divide(identity,X_22),identity) != inverse(double_divide(identity,double_divide(identity,X_22)))
    | multiply(double_divide(identity,X_22),identity) = inverse(X_22) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,X_22)),X_22) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    multiply(double_divide(identity,X_22),identity) = inverse(X_22),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_22),identity),inverse(double_divide(identity,double_divide(identity,X_22)))) )],[refute_0_180,refute_0_237]) ).

cnf(refute_0_239,plain,
    inverse(double_divide(identity,X_13)) = multiply(X_13,identity),
    inference(subst,[],[refute_0_48:[bind(X,$fot(X_13)),bind(Y,$fot(identity))]]) ).

cnf(refute_0_240,plain,
    double_divide(double_divide(identity,X_13),identity) = inverse(double_divide(identity,X_13)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,X_13)))]]) ).

cnf(refute_0_241,plain,
    ( double_divide(double_divide(identity,X_13),identity) != inverse(double_divide(identity,X_13))
    | inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Y0,$fot(inverse(double_divide(identity,X_13)))),bind(Z0,$fot(multiply(X_13,identity)))]]) ).

cnf(refute_0_242,plain,
    ( inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),inverse(double_divide(identity,X_13))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_13)),multiply(X_13,identity)) )],[refute_0_239,refute_0_242]) ).

cnf(refute_0_244,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_245,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity))))
    | double_divide(identity,inverse(inverse(identity))) != identity
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = double_divide(double_divide(identity,X_13),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity))))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_246,plain,
    ( double_divide(identity,inverse(inverse(identity))) != identity
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = double_divide(double_divide(identity,X_13),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity))))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = double_divide(double_divide(identity,X_13),identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),identity) )],[refute_0_140,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != double_divide(double_divide(identity,X_13),identity)
    | double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = multiply(X_13,identity) ),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))))),bind(Y0,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Z0,$fot(multiply(X_13,identity)))]]) ).

cnf(refute_0_249,plain,
    ( double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = multiply(X_13,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),double_divide(double_divide(identity,X_13),identity)) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = multiply(X_13,identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),multiply(X_13,identity)) )],[refute_0_243,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != X_13
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != multiply(X_13,identity)
    | multiply(X_13,identity) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),X_13) ),[0],$fot(multiply(X_13,identity))]]) ).

cnf(refute_0_252,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != X_13
    | multiply(X_13,identity) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),multiply(X_13,identity)) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    multiply(X_13,identity) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),X_13) )],[refute_0_88,refute_0_252]) ).

cnf(refute_0_254,plain,
    multiply(double_divide(identity,X_22),identity) = double_divide(identity,X_22),
    inference(subst,[],[refute_0_253:[bind(X_13,$fot(double_divide(identity,X_22)))]]) ).

cnf(refute_0_255,plain,
    ( multiply(double_divide(identity,X_22),identity) != double_divide(identity,X_22)
    | multiply(double_divide(identity,X_22),identity) != inverse(X_22)
    | double_divide(identity,X_22) = inverse(X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_22),identity),inverse(X_22)) ),[0],$fot(double_divide(identity,X_22))]]) ).

cnf(refute_0_256,plain,
    ( multiply(double_divide(identity,X_22),identity) != inverse(X_22)
    | double_divide(identity,X_22) = inverse(X_22) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_22),identity),double_divide(identity,X_22)) )],[refute_0_254,refute_0_255]) ).

cnf(refute_0_257,plain,
    double_divide(identity,X_22) = inverse(X_22),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_22),identity),inverse(X_22)) )],[refute_0_238,refute_0_256]) ).

cnf(refute_0_258,plain,
    double_divide(identity,inverse(X_12)) = inverse(inverse(X_12)),
    inference(subst,[],[refute_0_257:[bind(X_22,$fot(inverse(X_12)))]]) ).

cnf(refute_0_259,plain,
    ( double_divide(identity,inverse(X_12)) != X_12
    | double_divide(identity,inverse(X_12)) != inverse(inverse(X_12))
    | inverse(inverse(X_12)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(X_12)),X_12) ),[0],$fot(inverse(inverse(X_12)))]]) ).

cnf(refute_0_260,plain,
    ( double_divide(identity,inverse(X_12)) != X_12
    | inverse(inverse(X_12)) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_12)),inverse(inverse(X_12))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    inverse(inverse(X_12)) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_12)),X_12) )],[refute_0_168,refute_0_260]) ).

cnf(refute_0_262,plain,
    inverse(inverse(a2)) = a2,
    inference(subst,[],[refute_0_261:[bind(X_12,$fot(a2))]]) ).

cnf(refute_0_263,plain,
    ( a2 != a2
    | inverse(inverse(a2)) != a2
    | inverse(inverse(a2)) = a2 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(a2)),a2) ),[0,0,0],$fot(a2)]]) ).

cnf(refute_0_264,plain,
    ( a2 != a2
    | inverse(inverse(a2)) = a2 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != a2 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_264,refute_0_179]) ).

cnf(refute_0_266,plain,
    multiply(double_divide(X_42,Y),Y) = inverse(double_divide(Y,double_divide(X_42,Y))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(double_divide(X_42,Y)))]]) ).

cnf(refute_0_267,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) = X_12,
    inference(subst,[],[refute_0_64:[bind(X,$fot(identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_268,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) != X_12
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))),X_12) ),[0,0],$fot(inverse(identity))]]) ).

cnf(refute_0_269,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) != X_12
    | double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_103,refute_0_268]) ).

cnf(refute_0_270,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))),X_12) )],[refute_0_267,refute_0_269]) ).

cnf(refute_0_271,plain,
    multiply(X_11,identity) = X_11,
    inference(subst,[],[refute_0_253:[bind(X_13,$fot(X_11))]]) ).

cnf(refute_0_272,plain,
    double_divide(multiply(X_11,identity),double_divide(X_12,X_11)) = double_divide(multiply(X_11,identity),double_divide(X_12,X_11)),
    introduced(tautology,[refl,[$fot(double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))]]) ).

cnf(refute_0_273,plain,
    ( multiply(X_11,identity) != X_11
    | double_divide(multiply(X_11,identity),double_divide(X_12,X_11)) != double_divide(multiply(X_11,identity),double_divide(X_12,X_11))
    | double_divide(multiply(X_11,identity),double_divide(X_12,X_11)) = double_divide(X_11,double_divide(X_12,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_11,identity),double_divide(X_12,X_11)),double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) ),[1,0],$fot(X_11)]]) ).

cnf(refute_0_274,plain,
    ( multiply(X_11,identity) != X_11
    | double_divide(multiply(X_11,identity),double_divide(X_12,X_11)) = double_divide(X_11,double_divide(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_11,identity),double_divide(X_12,X_11)),double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) )],[refute_0_272,refute_0_273]) ).

cnf(refute_0_275,plain,
    double_divide(multiply(X_11,identity),double_divide(X_12,X_11)) = double_divide(X_11,double_divide(X_12,X_11)),
    inference(resolve,[$cnf( $equal(multiply(X_11,identity),X_11) )],[refute_0_271,refute_0_274]) ).

cnf(refute_0_276,plain,
    double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) = double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))))]]) ).

cnf(refute_0_277,plain,
    ( double_divide(multiply(X_11,identity),double_divide(X_12,X_11)) != double_divide(X_11,double_divide(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) != double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))
    | double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) = double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) ),[1,1],$fot(double_divide(X_11,double_divide(X_12,X_11)))]]) ).

cnf(refute_0_278,plain,
    ( double_divide(multiply(X_11,identity),double_divide(X_12,X_11)) != double_divide(X_11,double_divide(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) = double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) = double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_11,identity),double_divide(X_12,X_11)),double_divide(X_11,double_divide(X_12,X_11))) )],[refute_0_275,refute_0_278]) ).

cnf(refute_0_280,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) = double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))))]]) ).

cnf(refute_0_281,plain,
    ( double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) != double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))
    | double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) != double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))))
    | double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) = double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))),double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))))) ),[1,1],$fot(double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))))]]) ).

cnf(refute_0_282,plain,
    ( double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))) != double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))
    | double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) = double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))),double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))))) )],[refute_0_280,refute_0_281]) ).

cnf(refute_0_283,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) = double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11))),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) )],[refute_0_279,refute_0_282]) ).

cnf(refute_0_284,plain,
    ( double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) != X_12
    | double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) != double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))))
    | double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))),X_12) ),[0],$fot(double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))))]]) ).

cnf(refute_0_285,plain,
    ( double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))) != X_12
    | double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))),double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))))) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X_11,identity),double_divide(X_12,X_11)))),X_12) )],[refute_0_270,refute_0_285]) ).

cnf(refute_0_287,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))))]]) ).

cnf(refute_0_288,plain,
    ( double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) != double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))))
    | inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_289,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))))) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_174,refute_0_289]) ).

cnf(refute_0_291,plain,
    ( double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) != X_12
    | double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) != double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))))
    | double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),X_12) ),[0],$fot(double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))))]]) ).

cnf(refute_0_292,plain,
    ( double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) != X_12
    | double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11))))) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),X_12) )],[refute_0_286,refute_0_292]) ).

cnf(refute_0_294,plain,
    double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) = double_divide(X_11,double_divide(X_12,X_11)),
    inference(subst,[],[refute_0_234:[bind(X_19,$fot(double_divide(X_11,double_divide(X_12,X_11))))]]) ).

cnf(refute_0_295,plain,
    ( double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) != X_12
    | double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) != double_divide(X_11,double_divide(X_12,X_11))
    | double_divide(X_11,double_divide(X_12,X_11)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),X_12) ),[0],$fot(double_divide(X_11,double_divide(X_12,X_11)))]]) ).

cnf(refute_0_296,plain,
    ( double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))) != X_12
    | double_divide(X_11,double_divide(X_12,X_11)) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),double_divide(X_11,double_divide(X_12,X_11))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    double_divide(X_11,double_divide(X_12,X_11)) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_11,double_divide(X_12,X_11)))),X_12) )],[refute_0_293,refute_0_296]) ).

cnf(refute_0_298,plain,
    double_divide(Y,double_divide(X_42,Y)) = X_42,
    inference(subst,[],[refute_0_297:[bind(X_11,$fot(Y)),bind(X_12,$fot(X_42))]]) ).

cnf(refute_0_299,plain,
    ( multiply(double_divide(X_42,Y),Y) != inverse(double_divide(Y,double_divide(X_42,Y)))
    | double_divide(Y,double_divide(X_42,Y)) != X_42
    | multiply(double_divide(X_42,Y),Y) = inverse(X_42) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_42,Y),Y),inverse(double_divide(Y,double_divide(X_42,Y)))) ),[1,0],$fot(X_42)]]) ).

cnf(refute_0_300,plain,
    ( multiply(double_divide(X_42,Y),Y) != inverse(double_divide(Y,double_divide(X_42,Y)))
    | multiply(double_divide(X_42,Y),Y) = inverse(X_42) ),
    inference(resolve,[$cnf( $equal(double_divide(Y,double_divide(X_42,Y)),X_42) )],[refute_0_298,refute_0_299]) ).

cnf(refute_0_301,plain,
    multiply(double_divide(X_42,Y),Y) = inverse(X_42),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_42,Y),Y),inverse(double_divide(Y,double_divide(X_42,Y)))) )],[refute_0_266,refute_0_300]) ).

cnf(refute_0_302,plain,
    multiply(double_divide(double_divide(multiply(X_68,Y),X_66),Y),Y) = inverse(double_divide(multiply(X_68,Y),X_66)),
    inference(subst,[],[refute_0_301:[bind(X_42,$fot(double_divide(multiply(X_68,Y),X_66)))]]) ).

cnf(refute_0_303,plain,
    multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = inverse(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))))),bind(Y,$fot(double_divide(identity,X_10)))]]) ).

cnf(refute_0_304,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))) = X_12,
    inference(subst,[],[refute_0_64:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_305,plain,
    ( multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) != inverse(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))) != X_12
    | multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = inverse(X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),inverse(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))))) ),[1,0],$fot(X_12)]]) ).

cnf(refute_0_306,plain,
    ( multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) != inverse(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))))
    | multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = inverse(X_12) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))),X_12) )],[refute_0_304,refute_0_305]) ).

cnf(refute_0_307,plain,
    multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = inverse(X_12),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),inverse(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))))) )],[refute_0_303,refute_0_306]) ).

cnf(refute_0_308,plain,
    double_divide(identity,X_10) = inverse(X_10),
    inference(subst,[],[refute_0_257:[bind(X_22,$fot(X_10))]]) ).

cnf(refute_0_309,plain,
    multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)),
    introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)))]]) ).

cnf(refute_0_310,plain,
    ( multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) != multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10))
    | double_divide(identity,X_10) != inverse(X_10)
    | multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)),multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10))) ),[1,1],$fot(inverse(X_10))]]) ).

cnf(refute_0_311,plain,
    ( double_divide(identity,X_10) != inverse(X_10)
    | multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)),multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10))) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_10),inverse(X_10)) )],[refute_0_308,refute_0_311]) ).

cnf(refute_0_313,plain,
    inverse(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) = multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),
    inference(subst,[],[refute_0_48:[bind(X,$fot(double_divide(X_12,X_11))),bind(Y,$fot(multiply(X_11,X_10)))]]) ).

cnf(refute_0_314,plain,
    double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) = inverse(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),
    inference(subst,[],[refute_0_257:[bind(X_22,$fot(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))))]]) ).

cnf(refute_0_315,plain,
    ( double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) != inverse(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))
    | inverse(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) != multiply(double_divide(X_12,X_11),multiply(X_11,X_10))
    | double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) = multiply(double_divide(X_12,X_11),multiply(X_11,X_10)) ),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))))),bind(Y0,$fot(inverse(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))))),bind(Z0,$fot(multiply(double_divide(X_12,X_11),multiply(X_11,X_10))))]]) ).

cnf(refute_0_316,plain,
    ( inverse(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) != multiply(double_divide(X_12,X_11),multiply(X_11,X_10))
    | double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) = multiply(double_divide(X_12,X_11),multiply(X_11,X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),inverse(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)))) )],[refute_0_314,refute_0_315]) ).

cnf(refute_0_317,plain,
    double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) = multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),multiply(double_divide(X_12,X_11),multiply(X_11,X_10))) )],[refute_0_313,refute_0_316]) ).

cnf(refute_0_318,plain,
    multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)))]]) ).

cnf(refute_0_319,plain,
    ( multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) != multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10))
    | double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) != multiply(double_divide(X_12,X_11),multiply(X_11,X_10))
    | multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10))) ),[1,0],$fot(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)))]]) ).

cnf(refute_0_320,plain,
    ( double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))) != multiply(double_divide(X_12,X_11),multiply(X_11,X_10))
    | multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10))) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),multiply(double_divide(X_12,X_11),multiply(X_11,X_10))) )],[refute_0_317,refute_0_320]) ).

cnf(refute_0_322,plain,
    ( multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) != multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10))
    | multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) != multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10))
    | multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) ),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)))),bind(Y0,$fot(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)))),bind(Z0,$fot(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10))))]]) ).

cnf(refute_0_323,plain,
    ( multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)) != multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10))
    | multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10))) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) = multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),double_divide(identity,X_10)),multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10))) )],[refute_0_312,refute_0_323]) ).

cnf(refute_0_325,plain,
    ( multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) != multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10))
    | multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) != inverse(X_12)
    | multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) = inverse(X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),inverse(X_12)) ),[0],$fot(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)))]]) ).

cnf(refute_0_326,plain,
    ( multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)) != inverse(X_12)
    | multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) = inverse(X_12) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10))) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) = inverse(X_12),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(multiply(X_11,X_10),double_divide(X_12,X_11))),double_divide(identity,X_10)),inverse(X_12)) )],[refute_0_307,refute_0_326]) ).

cnf(refute_0_328,plain,
    multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) = inverse(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_14),X_13))))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(double_divide(identity,inverse(multiply(inverse(X_14),X_13))))),bind(Y,$fot(double_divide(identity,X_13)))]]) ).

cnf(refute_0_329,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_14),X_13)))) = X_14,
    inference(subst,[],[refute_0_83:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_330,plain,
    ( multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) != inverse(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_14),X_13)))))
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_14),X_13)))) != X_14
    | multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) = inverse(X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)),inverse(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_14),X_13)))))) ),[1,0],$fot(X_14)]]) ).

cnf(refute_0_331,plain,
    ( multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) != inverse(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_14),X_13)))))
    | multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_14),X_13)))),X_14) )],[refute_0_329,refute_0_330]) ).

cnf(refute_0_332,plain,
    multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) = inverse(X_14),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)),inverse(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_14),X_13)))))) )],[refute_0_328,refute_0_331]) ).

cnf(refute_0_333,plain,
    double_divide(identity,inverse(multiply(inverse(X_14),X_13))) = multiply(inverse(X_14),X_13),
    inference(subst,[],[refute_0_168:[bind(X_12,$fot(multiply(inverse(X_14),X_13)))]]) ).

cnf(refute_0_334,plain,
    multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) = multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)))]]) ).

cnf(refute_0_335,plain,
    ( multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) != multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13))
    | double_divide(identity,inverse(multiply(inverse(X_14),X_13))) != multiply(inverse(X_14),X_13)
    | multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) = multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)),multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13))) ),[1,0],$fot(multiply(inverse(X_14),X_13))]]) ).

cnf(refute_0_336,plain,
    ( double_divide(identity,inverse(multiply(inverse(X_14),X_13))) != multiply(inverse(X_14),X_13)
    | multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) = multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)),multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13))) )],[refute_0_334,refute_0_335]) ).

cnf(refute_0_337,plain,
    multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) = multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),multiply(inverse(X_14),X_13)) )],[refute_0_333,refute_0_336]) ).

cnf(refute_0_338,plain,
    ( multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) != multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13))
    | multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) != inverse(X_14)
    | multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) = inverse(X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)),inverse(X_14)) ),[0],$fot(multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)))]]) ).

cnf(refute_0_339,plain,
    ( multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)) != inverse(X_14)
    | multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)),multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13))) )],[refute_0_337,refute_0_338]) ).

cnf(refute_0_340,plain,
    multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) = inverse(X_14),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(multiply(inverse(X_14),X_13))),double_divide(identity,X_13)),inverse(X_14)) )],[refute_0_332,refute_0_339]) ).

cnf(refute_0_341,plain,
    double_divide(identity,X_13) = inverse(X_13),
    inference(subst,[],[refute_0_257:[bind(X_22,$fot(X_13))]]) ).

cnf(refute_0_342,plain,
    multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) = multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)),
    introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)))]]) ).

cnf(refute_0_343,plain,
    ( multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) != multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13))
    | double_divide(identity,X_13) != inverse(X_13)
    | multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) = multiply(multiply(inverse(X_14),X_13),inverse(X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)),multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13))) ),[1,1],$fot(inverse(X_13))]]) ).

cnf(refute_0_344,plain,
    ( double_divide(identity,X_13) != inverse(X_13)
    | multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) = multiply(multiply(inverse(X_14),X_13),inverse(X_13)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)),multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13))) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) = multiply(multiply(inverse(X_14),X_13),inverse(X_13)),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_13),inverse(X_13)) )],[refute_0_341,refute_0_344]) ).

cnf(refute_0_346,plain,
    ( multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) != multiply(multiply(inverse(X_14),X_13),inverse(X_13))
    | multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) != inverse(X_14)
    | multiply(multiply(inverse(X_14),X_13),inverse(X_13)) = inverse(X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)),inverse(X_14)) ),[0],$fot(multiply(multiply(inverse(X_14),X_13),inverse(X_13)))]]) ).

cnf(refute_0_347,plain,
    ( multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)) != inverse(X_14)
    | multiply(multiply(inverse(X_14),X_13),inverse(X_13)) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)),multiply(multiply(inverse(X_14),X_13),inverse(X_13))) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    multiply(multiply(inverse(X_14),X_13),inverse(X_13)) = inverse(X_14),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_14),X_13),double_divide(identity,X_13)),inverse(X_14)) )],[refute_0_340,refute_0_347]) ).

cnf(refute_0_349,plain,
    multiply(multiply(inverse(inverse(X_12)),X_35),inverse(X_35)) = inverse(inverse(X_12)),
    inference(subst,[],[refute_0_348:[bind(X_13,$fot(X_35)),bind(X_14,$fot(inverse(X_12)))]]) ).

cnf(refute_0_350,plain,
    ( multiply(multiply(inverse(inverse(X_12)),X_35),inverse(X_35)) != inverse(inverse(X_12))
    | inverse(inverse(X_12)) != X_12
    | multiply(multiply(X_12,X_35),inverse(X_35)) = inverse(inverse(X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_12)),X_35),inverse(X_35)),inverse(inverse(X_12))) ),[0,0,0],$fot(X_12)]]) ).

cnf(refute_0_351,plain,
    ( multiply(multiply(inverse(inverse(X_12)),X_35),inverse(X_35)) != inverse(inverse(X_12))
    | multiply(multiply(X_12,X_35),inverse(X_35)) = inverse(inverse(X_12)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_261,refute_0_350]) ).

cnf(refute_0_352,plain,
    multiply(multiply(X_12,X_35),inverse(X_35)) = inverse(inverse(X_12)),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_12)),X_35),inverse(X_35)),inverse(inverse(X_12))) )],[refute_0_349,refute_0_351]) ).

cnf(refute_0_353,plain,
    ( multiply(multiply(X_12,X_35),inverse(X_35)) != inverse(inverse(X_12))
    | inverse(inverse(X_12)) != X_12
    | multiply(multiply(X_12,X_35),inverse(X_35)) = X_12 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_12,X_35),inverse(X_35)),X_12) ),[0],$fot(inverse(inverse(X_12)))]]) ).

cnf(refute_0_354,plain,
    ( multiply(multiply(X_12,X_35),inverse(X_35)) != inverse(inverse(X_12))
    | multiply(multiply(X_12,X_35),inverse(X_35)) = X_12 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_261,refute_0_353]) ).

cnf(refute_0_355,plain,
    multiply(multiply(X_12,X_35),inverse(X_35)) = X_12,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_12,X_35),inverse(X_35)),inverse(inverse(X_12))) )],[refute_0_352,refute_0_354]) ).

cnf(refute_0_356,plain,
    multiply(multiply(double_divide(X_44,X_35),X_35),inverse(X_35)) = double_divide(X_44,X_35),
    inference(subst,[],[refute_0_355:[bind(X_12,$fot(double_divide(X_44,X_35)))]]) ).

cnf(refute_0_357,plain,
    multiply(double_divide(X_44,X_35),X_35) = inverse(X_44),
    inference(subst,[],[refute_0_301:[bind(Y,$fot(X_35)),bind(X_42,$fot(X_44))]]) ).

cnf(refute_0_358,plain,
    ( multiply(multiply(double_divide(X_44,X_35),X_35),inverse(X_35)) != double_divide(X_44,X_35)
    | multiply(double_divide(X_44,X_35),X_35) != inverse(X_44)
    | multiply(inverse(X_44),inverse(X_35)) = double_divide(X_44,X_35) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_44,X_35),X_35),inverse(X_35)),double_divide(X_44,X_35)) ),[0,0],$fot(inverse(X_44))]]) ).

cnf(refute_0_359,plain,
    ( multiply(multiply(double_divide(X_44,X_35),X_35),inverse(X_35)) != double_divide(X_44,X_35)
    | multiply(inverse(X_44),inverse(X_35)) = double_divide(X_44,X_35) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_44,X_35),X_35),inverse(X_44)) )],[refute_0_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    multiply(inverse(X_44),inverse(X_35)) = double_divide(X_44,X_35),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_44,X_35),X_35),inverse(X_35)),double_divide(X_44,X_35)) )],[refute_0_356,refute_0_359]) ).

cnf(refute_0_361,plain,
    multiply(inverse(double_divide(Y,X)),inverse(X_49)) = double_divide(double_divide(Y,X),X_49),
    inference(subst,[],[refute_0_360:[bind(X_35,$fot(X_49)),bind(X_44,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_362,plain,
    ( multiply(inverse(double_divide(Y,X)),inverse(X_49)) != double_divide(double_divide(Y,X),X_49)
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | multiply(multiply(X,Y),inverse(X_49)) = double_divide(double_divide(Y,X),X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),inverse(X_49)),double_divide(double_divide(Y,X),X_49)) ),[0,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_363,plain,
    ( multiply(inverse(double_divide(Y,X)),inverse(X_49)) != double_divide(double_divide(Y,X),X_49)
    | multiply(multiply(X,Y),inverse(X_49)) = double_divide(double_divide(Y,X),X_49) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_48,refute_0_362]) ).

cnf(refute_0_364,plain,
    multiply(multiply(X,Y),inverse(X_49)) = double_divide(double_divide(Y,X),X_49),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),inverse(X_49)),double_divide(double_divide(Y,X),X_49)) )],[refute_0_361,refute_0_363]) ).

cnf(refute_0_365,plain,
    multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) = double_divide(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)),X_10),
    inference(subst,[],[refute_0_364:[bind(X,$fot(double_divide(X_12,X_11))),bind(Y,$fot(multiply(X_11,X_10))),bind(X_49,$fot(X_10))]]) ).

cnf(refute_0_366,plain,
    ( multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) != double_divide(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)),X_10)
    | multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) != inverse(X_12)
    | double_divide(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)),X_10) = inverse(X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)),inverse(X_12)) ),[0],$fot(double_divide(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)),X_10))]]) ).

cnf(refute_0_367,plain,
    ( multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)) != inverse(X_12)
    | double_divide(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)),X_10) = inverse(X_12) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)),double_divide(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)),X_10)) )],[refute_0_365,refute_0_366]) ).

cnf(refute_0_368,plain,
    double_divide(double_divide(multiply(X_11,X_10),double_divide(X_12,X_11)),X_10) = inverse(X_12),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_12,X_11),multiply(X_11,X_10)),inverse(X_10)),inverse(X_12)) )],[refute_0_327,refute_0_367]) ).

cnf(refute_0_369,plain,
    double_divide(double_divide(multiply(X_58,X_57),double_divide(double_divide(X_58,X_12),X_58)),X_57) = inverse(double_divide(X_58,X_12)),
    inference(subst,[],[refute_0_368:[bind(X_10,$fot(X_57)),bind(X_11,$fot(X_58)),bind(X_12,$fot(double_divide(X_58,X_12)))]]) ).

cnf(refute_0_370,plain,
    double_divide(double_divide(X_42,X_12),double_divide(X_12,double_divide(X_42,X_12))) = X_12,
    inference(subst,[],[refute_0_297:[bind(X_11,$fot(double_divide(X_42,X_12)))]]) ).

cnf(refute_0_371,plain,
    double_divide(X_12,double_divide(X_42,X_12)) = X_42,
    inference(subst,[],[refute_0_297:[bind(X_11,$fot(X_12)),bind(X_12,$fot(X_42))]]) ).

cnf(refute_0_372,plain,
    ( double_divide(X_12,double_divide(X_42,X_12)) != X_42
    | double_divide(double_divide(X_42,X_12),double_divide(X_12,double_divide(X_42,X_12))) != X_12
    | double_divide(double_divide(X_42,X_12),X_42) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_42,X_12),double_divide(X_12,double_divide(X_42,X_12))),X_12) ),[0,1],$fot(X_42)]]) ).

cnf(refute_0_373,plain,
    ( double_divide(double_divide(X_42,X_12),double_divide(X_12,double_divide(X_42,X_12))) != X_12
    | double_divide(double_divide(X_42,X_12),X_42) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(X_42,X_12)),X_42) )],[refute_0_371,refute_0_372]) ).

cnf(refute_0_374,plain,
    double_divide(double_divide(X_42,X_12),X_42) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_42,X_12),double_divide(X_12,double_divide(X_42,X_12))),X_12) )],[refute_0_370,refute_0_373]) ).

cnf(refute_0_375,plain,
    double_divide(double_divide(X_58,X_12),X_58) = X_12,
    inference(subst,[],[refute_0_374:[bind(X_42,$fot(X_58))]]) ).

cnf(refute_0_376,plain,
    ( double_divide(double_divide(X_58,X_12),X_58) != X_12
    | double_divide(double_divide(multiply(X_58,X_57),double_divide(double_divide(X_58,X_12),X_58)),X_57) != inverse(double_divide(X_58,X_12))
    | double_divide(double_divide(multiply(X_58,X_57),X_12),X_57) = inverse(double_divide(X_58,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_58,X_57),double_divide(double_divide(X_58,X_12),X_58)),X_57),inverse(double_divide(X_58,X_12))) ),[0,0,1],$fot(X_12)]]) ).

cnf(refute_0_377,plain,
    ( double_divide(double_divide(multiply(X_58,X_57),double_divide(double_divide(X_58,X_12),X_58)),X_57) != inverse(double_divide(X_58,X_12))
    | double_divide(double_divide(multiply(X_58,X_57),X_12),X_57) = inverse(double_divide(X_58,X_12)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_58,X_12),X_58),X_12) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    double_divide(double_divide(multiply(X_58,X_57),X_12),X_57) = inverse(double_divide(X_58,X_12)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_58,X_57),double_divide(double_divide(X_58,X_12),X_58)),X_57),inverse(double_divide(X_58,X_12))) )],[refute_0_369,refute_0_377]) ).

cnf(refute_0_379,plain,
    inverse(double_divide(X_58,X_12)) = multiply(X_12,X_58),
    inference(subst,[],[refute_0_48:[bind(X,$fot(X_12)),bind(Y,$fot(X_58))]]) ).

cnf(refute_0_380,plain,
    ( double_divide(double_divide(multiply(X_58,X_57),X_12),X_57) != inverse(double_divide(X_58,X_12))
    | inverse(double_divide(X_58,X_12)) != multiply(X_12,X_58)
    | double_divide(double_divide(multiply(X_58,X_57),X_12),X_57) = multiply(X_12,X_58) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(double_divide(multiply(X_58,X_57),X_12),X_57),multiply(X_12,X_58)) ),[0],$fot(inverse(double_divide(X_58,X_12)))]]) ).

cnf(refute_0_381,plain,
    ( double_divide(double_divide(multiply(X_58,X_57),X_12),X_57) != inverse(double_divide(X_58,X_12))
    | double_divide(double_divide(multiply(X_58,X_57),X_12),X_57) = multiply(X_12,X_58) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_58,X_12)),multiply(X_12,X_58)) )],[refute_0_379,refute_0_380]) ).

cnf(refute_0_382,plain,
    double_divide(double_divide(multiply(X_58,X_57),X_12),X_57) = multiply(X_12,X_58),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_58,X_57),X_12),X_57),inverse(double_divide(X_58,X_12))) )],[refute_0_378,refute_0_381]) ).

cnf(refute_0_383,plain,
    double_divide(double_divide(multiply(X_68,Y),X_66),Y) = multiply(X_66,X_68),
    inference(subst,[],[refute_0_382:[bind(X_12,$fot(X_66)),bind(X_57,$fot(Y)),bind(X_58,$fot(X_68))]]) ).

cnf(refute_0_384,plain,
    ( multiply(double_divide(double_divide(multiply(X_68,Y),X_66),Y),Y) != inverse(double_divide(multiply(X_68,Y),X_66))
    | double_divide(double_divide(multiply(X_68,Y),X_66),Y) != multiply(X_66,X_68)
    | multiply(multiply(X_66,X_68),Y) = inverse(double_divide(multiply(X_68,Y),X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(multiply(X_68,Y),X_66),Y),Y),inverse(double_divide(multiply(X_68,Y),X_66))) ),[0,0],$fot(multiply(X_66,X_68))]]) ).

cnf(refute_0_385,plain,
    ( multiply(double_divide(double_divide(multiply(X_68,Y),X_66),Y),Y) != inverse(double_divide(multiply(X_68,Y),X_66))
    | multiply(multiply(X_66,X_68),Y) = inverse(double_divide(multiply(X_68,Y),X_66)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_68,Y),X_66),Y),multiply(X_66,X_68)) )],[refute_0_383,refute_0_384]) ).

cnf(refute_0_386,plain,
    multiply(multiply(X_66,X_68),Y) = inverse(double_divide(multiply(X_68,Y),X_66)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(multiply(X_68,Y),X_66),Y),Y),inverse(double_divide(multiply(X_68,Y),X_66))) )],[refute_0_302,refute_0_385]) ).

cnf(refute_0_387,plain,
    inverse(double_divide(multiply(X_68,Y),X_66)) = multiply(X_66,multiply(X_68,Y)),
    inference(subst,[],[refute_0_48:[bind(X,$fot(X_66)),bind(Y,$fot(multiply(X_68,Y)))]]) ).

cnf(refute_0_388,plain,
    ( multiply(multiply(X_66,X_68),Y) != inverse(double_divide(multiply(X_68,Y),X_66))
    | inverse(double_divide(multiply(X_68,Y),X_66)) != multiply(X_66,multiply(X_68,Y))
    | multiply(multiply(X_66,X_68),Y) = multiply(X_66,multiply(X_68,Y)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_66,X_68),Y),multiply(X_66,multiply(X_68,Y))) ),[0],$fot(inverse(double_divide(multiply(X_68,Y),X_66)))]]) ).

cnf(refute_0_389,plain,
    ( multiply(multiply(X_66,X_68),Y) != inverse(double_divide(multiply(X_68,Y),X_66))
    | multiply(multiply(X_66,X_68),Y) = multiply(X_66,multiply(X_68,Y)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_68,Y),X_66)),multiply(X_66,multiply(X_68,Y))) )],[refute_0_387,refute_0_388]) ).

cnf(refute_0_390,plain,
    multiply(multiply(X_66,X_68),Y) = multiply(X_66,multiply(X_68,Y)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_66,X_68),Y),inverse(double_divide(multiply(X_68,Y),X_66))) )],[refute_0_386,refute_0_389]) ).

cnf(refute_0_391,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(subst,[],[refute_0_390:[bind(Y,$fot(c3)),bind(X_66,$fot(a3)),bind(X_68,$fot(b3))]]) ).

cnf(refute_0_392,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a3,multiply(b3,c3)) != 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(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_393,plain,
    ( multiply(a3,multiply(b3,c3)) != 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(a3,multiply(b3,c3))) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    ( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | a2 != a2 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_393,refute_0_265]) ).

cnf(refute_0_395,plain,
    multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_396,plain,
    a2 != a2,
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_395,refute_0_394]) ).

cnf(refute_0_397,plain,
    a2 = a2,
    introduced(tautology,[refl,[$fot(a2)]]) ).

cnf(refute_0_398,plain,
    $false,
    inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_397,refute_0_396]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP078-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun 13 16:45:39 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.44  
% 0.21/0.44  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.51  
%------------------------------------------------------------------------------