%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP079-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 0.20s 0.44s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   71
%            Number of leaves      :  136
% Syntax   : Number of clauses     :  461 ( 230 unt;   0 nHn; 226 RR)
%            Number of literals    :  803 ( 802 equ; 348 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   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   :  807 (   0 sgn)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(refute_0_21,plain,
    double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)) = double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)))]]) ).

cnf(refute_0_22,plain,
    ( double_divide(double_divide(Y,Z),double_divide(identity,identity)) != double_divide(double_divide(Y,Z),inverse(identity))
    | double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)) != double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))
    | double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)) = double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) ),[1,0],$fot(double_divide(double_divide(Y,Z),inverse(identity)))]]) ).

cnf(refute_0_23,plain,
    ( double_divide(double_divide(Y,Z),double_divide(identity,identity)) != double_divide(double_divide(Y,Z),inverse(identity))
    | double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)) = double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)) = double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(double_divide(Y,Z),inverse(identity))) )],[refute_0_20,refute_0_23]) ).

cnf(refute_0_25,plain,
    double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) = double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))))]]) ).

cnf(refute_0_26,plain,
    ( double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)) != double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))
    | double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) != double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)))
    | double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) = double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))),double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)))) ),[1,1],$fot(double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z)))]]) ).

cnf(refute_0_27,plain,
    ( double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)) != double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))
    | double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) = double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))),double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)))) )],[refute_0_25,refute_0_26]) ).

cnf(refute_0_28,plain,
    double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) = double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z)),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))) )],[refute_0_24,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) != Y
    | double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) != double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z)))
    | double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))),Y) ),[0],$fot(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))))]]) ).

cnf(refute_0_30,plain,
    ( double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) != Y
    | double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))) = Y ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))),double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z)))) )],[refute_0_28,refute_0_29]) ).

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

cnf(refute_0_32,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),double_divide(X_10,inverse(X_10)))) = X_11,
    inference(subst,[],[refute_0_31:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).

cnf(refute_0_33,plain,
    identity = double_divide(X_10,inverse(X_10)),
    inference(subst,[],[identity:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_34,plain,
    ( identity != double_divide(X_10,inverse(X_10))
    | double_divide(X_10,inverse(X_10)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_10,inverse(X_10))))]]) ).

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

cnf(refute_0_36,plain,
    ( double_divide(X_10,inverse(X_10)) != identity
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),double_divide(X_10,inverse(X_10)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),double_divide(X_10,inverse(X_10)))),X_11) ),[0,1,1],$fot(identity)]]) ).

cnf(refute_0_37,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),double_divide(X_10,inverse(X_10)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(X_10)),identity) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),double_divide(X_10,inverse(X_10)))),X_11) )],[refute_0_32,refute_0_37]) ).

cnf(refute_0_39,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_40,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_39]) ).

cnf(refute_0_41,plain,
    inverse(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) = multiply(inverse(identity),double_divide(X_11,inverse(X_10))),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(identity))),bind(Y,$fot(double_divide(X_11,inverse(X_10))))]]) ).

cnf(refute_0_42,plain,
    double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity) = inverse(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))))]]) ).

cnf(refute_0_43,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_44,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity) != inverse(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))
    | inverse(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) != multiply(inverse(identity),double_divide(X_11,inverse(X_10)))
    | double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity) = multiply(inverse(identity),double_divide(X_11,inverse(X_10))) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity))),bind(Y0,$fot(inverse(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))))),bind(Z0,$fot(multiply(inverse(identity),double_divide(X_11,inverse(X_10)))))]]) ).

cnf(refute_0_46,plain,
    ( inverse(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) != multiply(inverse(identity),double_divide(X_11,inverse(X_10)))
    | double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity) = multiply(inverse(identity),double_divide(X_11,inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity),inverse(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))) )],[refute_0_42,refute_0_45]) ).

cnf(refute_0_47,plain,
    double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity) = multiply(inverse(identity),double_divide(X_11,inverse(X_10))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))) )],[refute_0_41,refute_0_46]) ).

cnf(refute_0_48,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) = double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)))]]) ).

cnf(refute_0_49,plain,
    ( double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity) != multiply(inverse(identity),double_divide(X_11,inverse(X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) != double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) = double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)),double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity))) ),[1,1],$fot(multiply(inverse(identity),double_divide(X_11,inverse(X_10))))]]) ).

cnf(refute_0_50,plain,
    ( double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity) != multiply(inverse(identity),double_divide(X_11,inverse(X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) = double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)),double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity))) )],[refute_0_48,refute_0_49]) ).

cnf(refute_0_51,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) = double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))) )],[refute_0_47,refute_0_50]) ).

cnf(refute_0_52,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) != double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10))))
    | double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)),X_11) ),[0],$fot(double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))))]]) ).

cnf(refute_0_53,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)) != X_11
    | double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)),double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10))))) )],[refute_0_51,refute_0_52]) ).

cnf(refute_0_54,plain,
    double_divide(double_divide(identity,X_10),multiply(inverse(identity),double_divide(X_11,inverse(X_10)))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),identity)),X_11) )],[refute_0_38,refute_0_53]) ).

cnf(refute_0_55,plain,
    double_divide(double_divide(identity,X_13),multiply(inverse(identity),double_divide(X_13,inverse(X_13)))) = X_13,
    inference(subst,[],[refute_0_54:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_13))]]) ).

cnf(refute_0_56,plain,
    identity = double_divide(X_13,inverse(X_13)),
    inference(subst,[],[identity:[bind(X,$fot(X_13))]]) ).

cnf(refute_0_57,plain,
    ( identity != double_divide(X_13,inverse(X_13))
    | double_divide(X_13,inverse(X_13)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_13,inverse(X_13))))]]) ).

cnf(refute_0_58,plain,
    double_divide(X_13,inverse(X_13)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_13,inverse(X_13))) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    ( double_divide(X_13,inverse(X_13)) != identity
    | double_divide(double_divide(identity,X_13),multiply(inverse(identity),double_divide(X_13,inverse(X_13)))) != X_13
    | double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),multiply(inverse(identity),double_divide(X_13,inverse(X_13)))),X_13) ),[0,1,1],$fot(identity)]]) ).

cnf(refute_0_60,plain,
    ( double_divide(double_divide(identity,X_13),multiply(inverse(identity),double_divide(X_13,inverse(X_13)))) != X_13
    | double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(X_13)),identity) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),multiply(inverse(identity),double_divide(X_13,inverse(X_13)))),X_13) )],[refute_0_55,refute_0_60]) ).

cnf(refute_0_62,plain,
    multiply(inverse(identity),identity) = inverse(identity),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(identity))]]) ).

cnf(refute_0_63,plain,
    double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) = double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)))]]) ).

cnf(refute_0_64,plain,
    ( multiply(inverse(identity),identity) != inverse(identity)
    | double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) != double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity))
    | double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) = double_divide(double_divide(identity,X_13),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)),double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_65,plain,
    ( multiply(inverse(identity),identity) != inverse(identity)
    | double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) = double_divide(double_divide(identity,X_13),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)),double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity))) )],[refute_0_63,refute_0_64]) ).

cnf(refute_0_66,plain,
    double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) = double_divide(double_divide(identity,X_13),inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_62,refute_0_65]) ).

cnf(refute_0_67,plain,
    ( double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) != X_13
    | double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) != double_divide(double_divide(identity,X_13),inverse(identity))
    | double_divide(double_divide(identity,X_13),inverse(identity)) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)),X_13) ),[0],$fot(double_divide(double_divide(identity,X_13),inverse(identity)))]]) ).

cnf(refute_0_68,plain,
    ( double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)) != X_13
    | double_divide(double_divide(identity,X_13),inverse(identity)) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)),double_divide(double_divide(identity,X_13),inverse(identity))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    double_divide(double_divide(identity,X_13),inverse(identity)) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),multiply(inverse(identity),identity)),X_13) )],[refute_0_61,refute_0_68]) ).

cnf(refute_0_70,plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_69:[bind(X_13,$fot(inverse(identity)))]]) ).

cnf(refute_0_71,plain,
    identity = double_divide(identity,inverse(identity)),
    inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).

cnf(refute_0_72,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_73,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    ( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != inverse(identity)
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,inverse(identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),inverse(identity)) ),[0,0],$fot(identity)]]) ).

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

cnf(refute_0_76,plain,
    double_divide(identity,inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_70,refute_0_75]) ).

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

cnf(refute_0_78,plain,
    ( double_divide(identity,inverse(identity)) != inverse(identity)
    | identity = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_73,refute_0_77]) ).

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

cnf(refute_0_80,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).

cnf(refute_0_81,plain,
    inverse(identity) = identity,
    inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    ( multiply(inverse(X_3),X_3) != inverse(identity)
    | inverse(identity) != identity
    | multiply(inverse(X_3),X_3) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).

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

cnf(refute_0_84,plain,
    multiply(inverse(X_3),X_3) = identity,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_15,refute_0_83]) ).

cnf(refute_0_85,plain,
    multiply(inverse(a1),a1) = identity,
    inference(subst,[],[refute_0_84:[bind(X_3,$fot(a1))]]) ).

cnf(refute_0_86,plain,
    ( multiply(inverse(a1),a1) != identity
    | identity != identity
    | multiply(inverse(a1),a1) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(identity)]]) ).

cnf(refute_0_87,plain,
    ( identity != identity
    | multiply(inverse(a1),a1) = identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(identity,a2) != a2
    | identity != identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_87,prove_these_axioms]) ).

cnf(refute_0_89,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_90,plain,
    inverse(X_3) = double_divide(X_3,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_91,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_92,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_90,refute_0_91]) ).

cnf(refute_0_93,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_94,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_92,refute_0_93]) ).

cnf(refute_0_95,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_89,refute_0_94]) ).

cnf(refute_0_96,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(X_10,identity))) = X_11,
    inference(subst,[],[refute_0_31:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(identity))]]) ).

cnf(refute_0_97,plain,
    inverse(X_10) = double_divide(X_10,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_98,plain,
    ( inverse(X_10) != double_divide(X_10,identity)
    | double_divide(X_10,identity) = inverse(X_10) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_10))),bind(Y0,$fot(double_divide(X_10,identity)))]]) ).

cnf(refute_0_99,plain,
    double_divide(X_10,identity) = inverse(X_10),
    inference(resolve,[$cnf( $equal(inverse(X_10),double_divide(X_10,identity)) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(X_10,identity))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(X_10,identity))),X_11) ),[0,1,1],$fot(inverse(X_10))]]) ).

cnf(refute_0_101,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(X_10,identity))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(X_10,identity))),X_11) )],[refute_0_96,refute_0_101]) ).

cnf(refute_0_103,plain,
    double_divide(X_11,identity) = inverse(X_11),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_104,plain,
    double_divide(double_divide(X_11,identity),inverse(identity)) = double_divide(double_divide(X_11,identity),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(identity)))]]) ).

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

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

cnf(refute_0_107,plain,
    double_divide(double_divide(X_11,identity),inverse(identity)) = double_divide(inverse(X_11),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_103,refute_0_106]) ).

cnf(refute_0_108,plain,
    double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) = double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)))]]) ).

cnf(refute_0_109,plain,
    ( double_divide(double_divide(X_11,identity),inverse(identity)) != double_divide(inverse(X_11),inverse(identity))
    | double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) != double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))
    | double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) = double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) ),[1,0],$fot(double_divide(inverse(X_11),inverse(identity)))]]) ).

cnf(refute_0_110,plain,
    ( double_divide(double_divide(X_11,identity),inverse(identity)) != double_divide(inverse(X_11),inverse(identity))
    | double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) = double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) )],[refute_0_108,refute_0_109]) ).

cnf(refute_0_111,plain,
    double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) = double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(inverse(X_11),inverse(identity))) )],[refute_0_107,refute_0_110]) ).

cnf(refute_0_112,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))))]]) ).

cnf(refute_0_113,plain,
    ( double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) != double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) != double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)))) ),[1,1],$fot(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))]]) ).

cnf(refute_0_114,plain,
    ( double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) != double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)))) )],[refute_0_112,refute_0_113]) ).

cnf(refute_0_115,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) )],[refute_0_111,refute_0_114]) ).

cnf(refute_0_116,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) != double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),X_11) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))))]]) ).

cnf(refute_0_117,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),X_11) )],[refute_0_102,refute_0_117]) ).

cnf(refute_0_119,plain,
    double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(X,inverse(identity)))) = double_divide(identity,X_15),
    inference(subst,[],[refute_0_31:[bind(Y,$fot(double_divide(identity,X_15))),bind(Z,$fot(inverse(identity)))]]) ).

cnf(refute_0_120,plain,
    double_divide(double_divide(identity,X_15),inverse(identity)) = X_15,
    inference(subst,[],[refute_0_69:[bind(X_13,$fot(X_15))]]) ).

cnf(refute_0_121,plain,
    ( double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(X,inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X_15),inverse(identity)) != X_15
    | double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(X,inverse(identity)))),double_divide(identity,X_15)) ),[0,1,0,0],$fot(X_15)]]) ).

cnf(refute_0_122,plain,
    ( double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(X,inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),X_15) )],[refute_0_120,refute_0_121]) ).

cnf(refute_0_123,plain,
    double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(X,inverse(identity)))),double_divide(identity,X_15)) )],[refute_0_119,refute_0_122]) ).

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

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

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

cnf(refute_0_127,plain,
    double_divide(X,inverse(identity)) = double_divide(X,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_81,refute_0_126]) ).

cnf(refute_0_128,plain,
    ( double_divide(X,identity) != inverse(X)
    | double_divide(X,inverse(identity)) != double_divide(X,identity)
    | double_divide(X,inverse(identity)) = inverse(X) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(X,inverse(identity)))),bind(Y0,$fot(double_divide(X,identity))),bind(Z0,$fot(inverse(X)))]]) ).

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

cnf(refute_0_130,plain,
    double_divide(X,inverse(identity)) = inverse(X),
    inference(resolve,[$cnf( $equal(double_divide(X,identity),inverse(X)) )],[refute_0_4,refute_0_129]) ).

cnf(refute_0_131,plain,
    double_divide(inverse(X_15),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),double_divide(X,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_15),double_divide(X,inverse(identity))))]]) ).

cnf(refute_0_132,plain,
    ( double_divide(X,inverse(identity)) != inverse(X)
    | double_divide(inverse(X_15),double_divide(X,inverse(identity))) != double_divide(inverse(X_15),double_divide(X,inverse(identity)))
    | double_divide(inverse(X_15),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),inverse(X)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_15),double_divide(X,inverse(identity))),double_divide(inverse(X_15),double_divide(X,inverse(identity)))) ),[1,1],$fot(inverse(X))]]) ).

cnf(refute_0_133,plain,
    ( double_divide(X,inverse(identity)) != inverse(X)
    | double_divide(inverse(X_15),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),inverse(X)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(X,inverse(identity))),double_divide(inverse(X_15),double_divide(X,inverse(identity)))) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    double_divide(inverse(X_15),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),inverse(X)),
    inference(resolve,[$cnf( $equal(double_divide(X,inverse(identity)),inverse(X)) )],[refute_0_130,refute_0_133]) ).

cnf(refute_0_135,plain,
    double_divide(X_15,identity) = inverse(X_15),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_15))]]) ).

cnf(refute_0_136,plain,
    double_divide(X_15,inverse(identity)) = double_divide(X_15,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_15,inverse(identity)))]]) ).

cnf(refute_0_137,plain,
    ( double_divide(X_15,inverse(identity)) != double_divide(X_15,inverse(identity))
    | inverse(identity) != identity
    | double_divide(X_15,inverse(identity)) = double_divide(X_15,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_15,inverse(identity)),double_divide(X_15,inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_138,plain,
    ( inverse(identity) != identity
    | double_divide(X_15,inverse(identity)) = double_divide(X_15,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_15,inverse(identity)),double_divide(X_15,inverse(identity))) )],[refute_0_136,refute_0_137]) ).

cnf(refute_0_139,plain,
    double_divide(X_15,inverse(identity)) = double_divide(X_15,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_81,refute_0_138]) ).

cnf(refute_0_140,plain,
    ( double_divide(X_15,identity) != inverse(X_15)
    | double_divide(X_15,inverse(identity)) != double_divide(X_15,identity)
    | double_divide(X_15,inverse(identity)) = inverse(X_15) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(X_15,inverse(identity)))),bind(Y0,$fot(double_divide(X_15,identity))),bind(Z0,$fot(inverse(X_15)))]]) ).

cnf(refute_0_141,plain,
    ( double_divide(X_15,identity) != inverse(X_15)
    | double_divide(X_15,inverse(identity)) = inverse(X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(X_15,inverse(identity)),double_divide(X_15,identity)) )],[refute_0_139,refute_0_140]) ).

cnf(refute_0_142,plain,
    double_divide(X_15,inverse(identity)) = inverse(X_15),
    inference(resolve,[$cnf( $equal(double_divide(X_15,identity),inverse(X_15)) )],[refute_0_135,refute_0_141]) ).

cnf(refute_0_143,plain,
    double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) = double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))))]]) ).

cnf(refute_0_144,plain,
    ( double_divide(X_15,inverse(identity)) != inverse(X_15)
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) != double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),double_divide(X,inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))) ),[1,0],$fot(inverse(X_15))]]) ).

cnf(refute_0_145,plain,
    ( double_divide(X_15,inverse(identity)) != inverse(X_15)
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),double_divide(X,inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),double_divide(X,inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(X_15,inverse(identity)),inverse(X_15)) )],[refute_0_142,refute_0_145]) ).

cnf(refute_0_147,plain,
    ( double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) != double_divide(inverse(X_15),double_divide(X,inverse(identity)))
    | double_divide(inverse(X_15),double_divide(X,inverse(identity))) != double_divide(inverse(X_15),inverse(X))
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),inverse(X)) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))))),bind(Y0,$fot(double_divide(inverse(X_15),double_divide(X,inverse(identity))))),bind(Z0,$fot(double_divide(inverse(X_15),inverse(X))))]]) ).

cnf(refute_0_148,plain,
    ( double_divide(inverse(X_15),double_divide(X,inverse(identity))) != double_divide(inverse(X_15),inverse(X))
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),inverse(X)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))),double_divide(inverse(X_15),double_divide(X,inverse(identity)))) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity))) = double_divide(inverse(X_15),inverse(X)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(X,inverse(identity))),double_divide(inverse(X_15),inverse(X))) )],[refute_0_134,refute_0_148]) ).

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

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

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

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

cnf(refute_0_154,plain,
    ( double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))) != double_divide(double_divide(identity,X),double_divide(inverse(X_15),inverse(X)))
    | double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X),double_divide(inverse(X_15),inverse(X))) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))),double_divide(identity,X_15)) ),[0],$fot(double_divide(double_divide(identity,X),double_divide(inverse(X_15),inverse(X))))]]) ).

cnf(refute_0_155,plain,
    ( double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X),double_divide(inverse(X_15),inverse(X))) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))),double_divide(double_divide(identity,X),double_divide(inverse(X_15),inverse(X)))) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    double_divide(double_divide(identity,X),double_divide(inverse(X_15),inverse(X))) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X),double_divide(double_divide(X_15,inverse(identity)),double_divide(X,inverse(identity)))),double_divide(identity,X_15)) )],[refute_0_123,refute_0_155]) ).

cnf(refute_0_157,plain,
    double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))) = double_divide(identity,inverse(X_11)),
    inference(subst,[],[refute_0_156:[bind(X,$fot(X_10)),bind(X_15,$fot(inverse(X_11)))]]) ).

cnf(refute_0_158,plain,
    double_divide(inverse(X_11),identity) = inverse(inverse(X_11)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_11)))]]) ).

cnf(refute_0_159,plain,
    double_divide(inverse(X_11),inverse(identity)) = double_divide(inverse(X_11),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),inverse(identity)))]]) ).

cnf(refute_0_160,plain,
    ( double_divide(inverse(X_11),inverse(identity)) != double_divide(inverse(X_11),inverse(identity))
    | inverse(identity) != identity
    | double_divide(inverse(X_11),inverse(identity)) = double_divide(inverse(X_11),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),inverse(identity)),double_divide(inverse(X_11),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_161,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(X_11),inverse(identity)) = double_divide(inverse(X_11),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(identity)),double_divide(inverse(X_11),inverse(identity))) )],[refute_0_159,refute_0_160]) ).

cnf(refute_0_162,plain,
    double_divide(inverse(X_11),inverse(identity)) = double_divide(inverse(X_11),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_81,refute_0_161]) ).

cnf(refute_0_163,plain,
    ( double_divide(inverse(X_11),identity) != inverse(inverse(X_11))
    | double_divide(inverse(X_11),inverse(identity)) != double_divide(inverse(X_11),identity)
    | double_divide(inverse(X_11),inverse(identity)) = inverse(inverse(X_11)) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(inverse(X_11),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(X_11),identity))),bind(Z0,$fot(inverse(inverse(X_11))))]]) ).

cnf(refute_0_164,plain,
    ( double_divide(inverse(X_11),identity) != inverse(inverse(X_11))
    | double_divide(inverse(X_11),inverse(identity)) = inverse(inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(identity)),double_divide(inverse(X_11),identity)) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    double_divide(inverse(X_11),inverse(identity)) = inverse(inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),identity),inverse(inverse(X_11))) )],[refute_0_158,refute_0_164]) ).

cnf(refute_0_166,plain,
    double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) = double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))]]) ).

cnf(refute_0_167,plain,
    ( double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) != double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))
    | double_divide(inverse(X_11),inverse(identity)) != inverse(inverse(X_11))
    | double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) = double_divide(inverse(inverse(X_11)),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) ),[1,0],$fot(inverse(inverse(X_11)))]]) ).

cnf(refute_0_168,plain,
    ( double_divide(inverse(X_11),inverse(identity)) != inverse(inverse(X_11))
    | double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) = double_divide(inverse(inverse(X_11)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) )],[refute_0_166,refute_0_167]) ).

cnf(refute_0_169,plain,
    double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) = double_divide(inverse(inverse(X_11)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(identity)),inverse(inverse(X_11))) )],[refute_0_165,refute_0_168]) ).

cnf(refute_0_170,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))))]]) ).

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

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

cnf(refute_0_173,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),double_divide(inverse(inverse(X_11)),inverse(X_10))) )],[refute_0_169,refute_0_172]) ).

cnf(refute_0_174,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))) != double_divide(identity,inverse(X_11))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(identity,inverse(X_11)) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))))),bind(Y0,$fot(double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))))),bind(Z0,$fot(double_divide(identity,inverse(X_11))))]]) ).

cnf(refute_0_175,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))) != double_divide(identity,inverse(X_11))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(identity,inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10)))) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(identity,inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))),double_divide(identity,inverse(X_11))) )],[refute_0_157,refute_0_175]) ).

cnf(refute_0_177,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != double_divide(identity,inverse(X_11))
    | double_divide(identity,inverse(X_11)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),X_11) ),[0],$fot(double_divide(identity,inverse(X_11)))]]) ).

cnf(refute_0_178,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != X_11
    | double_divide(identity,inverse(X_11)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),double_divide(identity,inverse(X_11))) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    double_divide(identity,inverse(X_11)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),X_11) )],[refute_0_118,refute_0_178]) ).

cnf(refute_0_180,plain,
    double_divide(double_divide(identity,identity),multiply(inverse(identity),double_divide(double_divide(identity,X_15),inverse(identity)))) = double_divide(identity,X_15),
    inference(subst,[],[refute_0_54:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(identity,X_15)))]]) ).

cnf(refute_0_181,plain,
    ( double_divide(double_divide(identity,X_15),inverse(identity)) != X_15
    | double_divide(double_divide(identity,identity),multiply(inverse(identity),double_divide(double_divide(identity,X_15),inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),multiply(inverse(identity),double_divide(double_divide(identity,X_15),inverse(identity)))),double_divide(identity,X_15)) ),[0,1,1],$fot(X_15)]]) ).

cnf(refute_0_182,plain,
    ( double_divide(double_divide(identity,identity),multiply(inverse(identity),double_divide(double_divide(identity,X_15),inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),X_15) )],[refute_0_120,refute_0_181]) ).

cnf(refute_0_183,plain,
    double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),multiply(inverse(identity),double_divide(double_divide(identity,X_15),inverse(identity)))),double_divide(identity,X_15)) )],[refute_0_180,refute_0_182]) ).

cnf(refute_0_184,plain,
    double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) = double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)))]]) ).

cnf(refute_0_185,plain,
    ( double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) != double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) = double_divide(inverse(identity),multiply(inverse(identity),X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)),double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15))) ),[1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_186,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) = double_divide(inverse(identity),multiply(inverse(identity),X_15)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)),double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15))) )],[refute_0_184,refute_0_185]) ).

cnf(refute_0_187,plain,
    double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) = double_divide(inverse(identity),multiply(inverse(identity),X_15)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_186]) ).

cnf(refute_0_188,plain,
    ( double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) != double_divide(inverse(identity),multiply(inverse(identity),X_15))
    | double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)),double_divide(identity,X_15)) ),[0],$fot(double_divide(inverse(identity),multiply(inverse(identity),X_15)))]]) ).

cnf(refute_0_189,plain,
    ( double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)) != double_divide(identity,X_15)
    | double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)),double_divide(inverse(identity),multiply(inverse(identity),X_15))) )],[refute_0_187,refute_0_188]) ).

cnf(refute_0_190,plain,
    double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),multiply(inverse(identity),X_15)),double_divide(identity,X_15)) )],[refute_0_183,refute_0_189]) ).

cnf(refute_0_191,plain,
    multiply(identity,X_15) = inverse(inverse(X_15)),
    inference(subst,[],[refute_0_95:[bind(X_3,$fot(X_15))]]) ).

cnf(refute_0_192,plain,
    multiply(inverse(identity),X_15) = multiply(inverse(identity),X_15),
    introduced(tautology,[refl,[$fot(multiply(inverse(identity),X_15))]]) ).

cnf(refute_0_193,plain,
    ( multiply(inverse(identity),X_15) != multiply(inverse(identity),X_15)
    | inverse(identity) != identity
    | multiply(inverse(identity),X_15) = multiply(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),X_15),multiply(inverse(identity),X_15)) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_194,plain,
    ( inverse(identity) != identity
    | multiply(inverse(identity),X_15) = multiply(identity,X_15) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_15),multiply(inverse(identity),X_15)) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    multiply(inverse(identity),X_15) = multiply(identity,X_15),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_81,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( multiply(identity,X_15) != inverse(inverse(X_15))
    | multiply(inverse(identity),X_15) != multiply(identity,X_15)
    | multiply(inverse(identity),X_15) = inverse(inverse(X_15)) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(multiply(inverse(identity),X_15))),bind(Y0,$fot(multiply(identity,X_15))),bind(Z0,$fot(inverse(inverse(X_15))))]]) ).

cnf(refute_0_197,plain,
    ( multiply(identity,X_15) != inverse(inverse(X_15))
    | multiply(inverse(identity),X_15) = inverse(inverse(X_15)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_15),multiply(identity,X_15)) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    multiply(inverse(identity),X_15) = inverse(inverse(X_15)),
    inference(resolve,[$cnf( $equal(multiply(identity,X_15),inverse(inverse(X_15))) )],[refute_0_191,refute_0_197]) ).

cnf(refute_0_199,plain,
    double_divide(identity,multiply(inverse(identity),X_15)) = double_divide(identity,multiply(inverse(identity),X_15)),
    introduced(tautology,[refl,[$fot(double_divide(identity,multiply(inverse(identity),X_15)))]]) ).

cnf(refute_0_200,plain,
    ( multiply(inverse(identity),X_15) != inverse(inverse(X_15))
    | double_divide(identity,multiply(inverse(identity),X_15)) != double_divide(identity,multiply(inverse(identity),X_15))
    | double_divide(identity,multiply(inverse(identity),X_15)) = double_divide(identity,inverse(inverse(X_15))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),X_15)),double_divide(identity,multiply(inverse(identity),X_15))) ),[1,1],$fot(inverse(inverse(X_15)))]]) ).

cnf(refute_0_201,plain,
    ( multiply(inverse(identity),X_15) != inverse(inverse(X_15))
    | double_divide(identity,multiply(inverse(identity),X_15)) = double_divide(identity,inverse(inverse(X_15))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),X_15)),double_divide(identity,multiply(inverse(identity),X_15))) )],[refute_0_199,refute_0_200]) ).

cnf(refute_0_202,plain,
    double_divide(identity,multiply(inverse(identity),X_15)) = double_divide(identity,inverse(inverse(X_15))),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_15),inverse(inverse(X_15))) )],[refute_0_198,refute_0_201]) ).

cnf(refute_0_203,plain,
    double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(inverse(identity),multiply(inverse(identity),X_15)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),multiply(inverse(identity),X_15)))]]) ).

cnf(refute_0_204,plain,
    ( double_divide(inverse(identity),multiply(inverse(identity),X_15)) != double_divide(inverse(identity),multiply(inverse(identity),X_15))
    | inverse(identity) != identity
    | double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,multiply(inverse(identity),X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),multiply(inverse(identity),X_15)),double_divide(inverse(identity),multiply(inverse(identity),X_15))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_205,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,multiply(inverse(identity),X_15)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),multiply(inverse(identity),X_15)),double_divide(inverse(identity),multiply(inverse(identity),X_15))) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,multiply(inverse(identity),X_15)),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_81,refute_0_205]) ).

cnf(refute_0_207,plain,
    ( double_divide(identity,multiply(inverse(identity),X_15)) != double_divide(identity,inverse(inverse(X_15)))
    | double_divide(inverse(identity),multiply(inverse(identity),X_15)) != double_divide(identity,multiply(inverse(identity),X_15))
    | double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,inverse(inverse(X_15))) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(inverse(identity),multiply(inverse(identity),X_15)))),bind(Y0,$fot(double_divide(identity,multiply(inverse(identity),X_15)))),bind(Z0,$fot(double_divide(identity,inverse(inverse(X_15)))))]]) ).

cnf(refute_0_208,plain,
    ( double_divide(identity,multiply(inverse(identity),X_15)) != double_divide(identity,inverse(inverse(X_15)))
    | double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,inverse(inverse(X_15))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),multiply(inverse(identity),X_15)),double_divide(identity,multiply(inverse(identity),X_15))) )],[refute_0_206,refute_0_207]) ).

cnf(refute_0_209,plain,
    double_divide(inverse(identity),multiply(inverse(identity),X_15)) = double_divide(identity,inverse(inverse(X_15))),
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),X_15)),double_divide(identity,inverse(inverse(X_15)))) )],[refute_0_202,refute_0_208]) ).

cnf(refute_0_210,plain,
    ( double_divide(inverse(identity),multiply(inverse(identity),X_15)) != double_divide(identity,X_15)
    | double_divide(inverse(identity),multiply(inverse(identity),X_15)) != double_divide(identity,inverse(inverse(X_15)))
    | double_divide(identity,inverse(inverse(X_15))) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),multiply(inverse(identity),X_15)),double_divide(identity,X_15)) ),[0],$fot(double_divide(identity,inverse(inverse(X_15))))]]) ).

cnf(refute_0_211,plain,
    ( double_divide(inverse(identity),multiply(inverse(identity),X_15)) != double_divide(identity,X_15)
    | double_divide(identity,inverse(inverse(X_15))) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),multiply(inverse(identity),X_15)),double_divide(identity,inverse(inverse(X_15)))) )],[refute_0_209,refute_0_210]) ).

cnf(refute_0_212,plain,
    double_divide(identity,inverse(inverse(X_15))) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),multiply(inverse(identity),X_15)),double_divide(identity,X_15)) )],[refute_0_190,refute_0_211]) ).

cnf(refute_0_213,plain,
    double_divide(identity,inverse(inverse(X_15))) = inverse(X_15),
    inference(subst,[],[refute_0_179:[bind(X_11,$fot(inverse(X_15)))]]) ).

cnf(refute_0_214,plain,
    ( double_divide(identity,inverse(inverse(X_15))) != double_divide(identity,X_15)
    | double_divide(identity,inverse(inverse(X_15))) != inverse(X_15)
    | inverse(X_15) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(X_15))),double_divide(identity,X_15)) ),[0],$fot(inverse(X_15))]]) ).

cnf(refute_0_215,plain,
    ( double_divide(identity,inverse(inverse(X_15))) != double_divide(identity,X_15)
    | inverse(X_15) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_15))),inverse(X_15)) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    inverse(X_15) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_15))),double_divide(identity,X_15)) )],[refute_0_212,refute_0_215]) ).

cnf(refute_0_217,plain,
    ( inverse(X_15) != double_divide(identity,X_15)
    | double_divide(identity,X_15) = inverse(X_15) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_15))),bind(Y0,$fot(double_divide(identity,X_15)))]]) ).

cnf(refute_0_218,plain,
    double_divide(identity,X_15) = inverse(X_15),
    inference(resolve,[$cnf( $equal(inverse(X_15),double_divide(identity,X_15)) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    double_divide(identity,inverse(X_11)) = inverse(inverse(X_11)),
    inference(subst,[],[refute_0_218:[bind(X_15,$fot(inverse(X_11)))]]) ).

cnf(refute_0_220,plain,
    ( double_divide(identity,inverse(X_11)) != X_11
    | double_divide(identity,inverse(X_11)) != inverse(inverse(X_11))
    | inverse(inverse(X_11)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(X_11)),X_11) ),[0],$fot(inverse(inverse(X_11)))]]) ).

cnf(refute_0_221,plain,
    ( double_divide(identity,inverse(X_11)) != X_11
    | inverse(inverse(X_11)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_11)),inverse(inverse(X_11))) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    inverse(inverse(X_11)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_11)),X_11) )],[refute_0_179,refute_0_221]) ).

cnf(refute_0_223,plain,
    inverse(inverse(X_3)) = X_3,
    inference(subst,[],[refute_0_222:[bind(X_11,$fot(X_3))]]) ).

cnf(refute_0_224,plain,
    ( multiply(identity,X_3) != inverse(inverse(X_3))
    | inverse(inverse(X_3)) != X_3
    | multiply(identity,X_3) = X_3 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,X_3),X_3) ),[0],$fot(inverse(inverse(X_3)))]]) ).

cnf(refute_0_225,plain,
    ( multiply(identity,X_3) != inverse(inverse(X_3))
    | multiply(identity,X_3) = X_3 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_223,refute_0_224]) ).

cnf(refute_0_226,plain,
    multiply(identity,X_3) = X_3,
    inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_95,refute_0_225]) ).

cnf(refute_0_227,plain,
    multiply(identity,a2) = a2,
    inference(subst,[],[refute_0_226:[bind(X_3,$fot(a2))]]) ).

cnf(refute_0_228,plain,
    ( multiply(identity,a2) != a2
    | a2 != a2
    | multiply(identity,a2) = a2 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(a2)]]) ).

cnf(refute_0_229,plain,
    ( a2 != a2
    | multiply(identity,a2) = a2 ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_227,refute_0_228]) ).

cnf(refute_0_230,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != a2
    | identity != identity ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_229,refute_0_88]) ).

cnf(refute_0_231,plain,
    a2 = a2,
    introduced(tautology,[refl,[$fot(a2)]]) ).

cnf(refute_0_232,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | identity != identity ),
    inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_231,refute_0_230]) ).

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

cnf(refute_0_234,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_233,refute_0_232]) ).

cnf(refute_0_235,plain,
    double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = X_11,
    inference(subst,[],[refute_0_31:[bind(X,$fot(identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_236,plain,
    ( double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != X_11
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),X_11) ),[0,0],$fot(inverse(identity))]]) ).

cnf(refute_0_237,plain,
    ( double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != X_11
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_236]) ).

cnf(refute_0_238,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),X_11) )],[refute_0_235,refute_0_237]) ).

cnf(refute_0_239,plain,
    inverse(double_divide(X_11,X_12)) = multiply(X_12,X_11),
    inference(subst,[],[refute_0_40:[bind(X,$fot(X_12)),bind(Y,$fot(X_11))]]) ).

cnf(refute_0_240,plain,
    double_divide(double_divide(X_11,X_12),identity) = inverse(double_divide(X_11,X_12)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_11,X_12)))]]) ).

cnf(refute_0_241,plain,
    ( double_divide(double_divide(X_11,X_12),identity) != inverse(double_divide(X_11,X_12))
    | inverse(double_divide(X_11,X_12)) != multiply(X_12,X_11)
    | double_divide(double_divide(X_11,X_12),identity) = multiply(X_12,X_11) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(double_divide(X_11,X_12),identity))),bind(Y0,$fot(inverse(double_divide(X_11,X_12)))),bind(Z0,$fot(multiply(X_12,X_11)))]]) ).

cnf(refute_0_242,plain,
    ( inverse(double_divide(X_11,X_12)) != multiply(X_12,X_11)
    | double_divide(double_divide(X_11,X_12),identity) = multiply(X_12,X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),identity),inverse(double_divide(X_11,X_12))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    double_divide(double_divide(X_11,X_12),identity) = multiply(X_12,X_11),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,X_12)),multiply(X_12,X_11)) )],[refute_0_239,refute_0_242]) ).

cnf(refute_0_244,plain,
    double_divide(double_divide(X_11,X_12),inverse(identity)) = double_divide(double_divide(X_11,X_12),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,X_12),inverse(identity)))]]) ).

cnf(refute_0_245,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != double_divide(double_divide(X_11,X_12),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X_11,X_12),inverse(identity)) = double_divide(double_divide(X_11,X_12),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(double_divide(X_11,X_12),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_246,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X_11,X_12),inverse(identity)) = double_divide(double_divide(X_11,X_12),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(double_divide(X_11,X_12),inverse(identity))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    double_divide(double_divide(X_11,X_12),inverse(identity)) = double_divide(double_divide(X_11,X_12),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_81,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( double_divide(double_divide(X_11,X_12),identity) != multiply(X_12,X_11)
    | double_divide(double_divide(X_11,X_12),inverse(identity)) != double_divide(double_divide(X_11,X_12),identity)
    | double_divide(double_divide(X_11,X_12),inverse(identity)) = multiply(X_12,X_11) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(double_divide(X_11,X_12),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X_11,X_12),identity))),bind(Z0,$fot(multiply(X_12,X_11)))]]) ).

cnf(refute_0_249,plain,
    ( double_divide(double_divide(X_11,X_12),identity) != multiply(X_12,X_11)
    | double_divide(double_divide(X_11,X_12),inverse(identity)) = multiply(X_12,X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(double_divide(X_11,X_12),identity)) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    double_divide(double_divide(X_11,X_12),inverse(identity)) = multiply(X_12,X_11),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),identity),multiply(X_12,X_11)) )],[refute_0_243,refute_0_249]) ).

cnf(refute_0_251,plain,
    double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) = double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))]]) ).

cnf(refute_0_252,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != multiply(X_12,X_11)
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) != double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) = double_divide(multiply(X_12,X_11),double_divide(identity,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) ),[1,0],$fot(multiply(X_12,X_11))]]) ).

cnf(refute_0_253,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != multiply(X_12,X_11)
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) = double_divide(multiply(X_12,X_11),double_divide(identity,X_12)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) )],[refute_0_251,refute_0_252]) ).

cnf(refute_0_254,plain,
    double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) = double_divide(multiply(X_12,X_11),double_divide(identity,X_12)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),multiply(X_12,X_11)) )],[refute_0_250,refute_0_253]) ).

cnf(refute_0_255,plain,
    double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))))]]) ).

cnf(refute_0_256,plain,
    ( double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) != double_divide(multiply(X_12,X_11),double_divide(identity,X_12))
    | double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))
    | double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) ),[1,1],$fot(double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))]]) ).

cnf(refute_0_257,plain,
    ( double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) != double_divide(multiply(X_12,X_11),double_divide(identity,X_12))
    | double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) )],[refute_0_255,refute_0_256]) ).

cnf(refute_0_258,plain,
    double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)),double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) )],[refute_0_254,refute_0_257]) ).

cnf(refute_0_259,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))))]]) ).

cnf(refute_0_260,plain,
    ( double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))
    | inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_261,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_81,refute_0_261]) ).

cnf(refute_0_263,plain,
    ( double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))))),bind(Y0,$fot(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))))),bind(Z0,$fot(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))))]]) ).

cnf(refute_0_264,plain,
    ( double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))) )],[refute_0_258,refute_0_264]) ).

cnf(refute_0_266,plain,
    ( double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != X_11
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),X_11) ),[0],$fot(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))]]) ).

cnf(refute_0_267,plain,
    ( double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != X_11
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),X_11) )],[refute_0_238,refute_0_267]) ).

cnf(refute_0_269,plain,
    double_divide(identity,X_12) = inverse(X_12),
    inference(subst,[],[refute_0_218:[bind(X_15,$fot(X_12))]]) ).

cnf(refute_0_270,plain,
    multiply(double_divide(identity,X_12),multiply(X_12,X_11)) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_12),multiply(X_12,X_11)))]]) ).

cnf(refute_0_271,plain,
    ( multiply(double_divide(identity,X_12),multiply(X_12,X_11)) != multiply(double_divide(identity,X_12),multiply(X_12,X_11))
    | double_divide(identity,X_12) != inverse(X_12)
    | multiply(double_divide(identity,X_12),multiply(X_12,X_11)) = multiply(inverse(X_12),multiply(X_12,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_12),multiply(X_12,X_11)),multiply(double_divide(identity,X_12),multiply(X_12,X_11))) ),[1,0],$fot(inverse(X_12))]]) ).

cnf(refute_0_272,plain,
    ( double_divide(identity,X_12) != inverse(X_12)
    | multiply(double_divide(identity,X_12),multiply(X_12,X_11)) = multiply(inverse(X_12),multiply(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),multiply(X_12,X_11)),multiply(double_divide(identity,X_12),multiply(X_12,X_11))) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    multiply(double_divide(identity,X_12),multiply(X_12,X_11)) = multiply(inverse(X_12),multiply(X_12,X_11)),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_12),inverse(X_12)) )],[refute_0_269,refute_0_272]) ).

cnf(refute_0_274,plain,
    inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(identity,X_12))),bind(Y,$fot(multiply(X_12,X_11)))]]) ).

cnf(refute_0_275,plain,
    double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),
    inference(subst,[],[refute_0_218:[bind(X_15,$fot(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))]]) ).

cnf(refute_0_276,plain,
    ( double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))
    | inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))),bind(Y0,$fot(inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))),bind(Z0,$fot(multiply(double_divide(identity,X_12),multiply(X_12,X_11))))]]) ).

cnf(refute_0_277,plain,
    ( inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))) )],[refute_0_275,refute_0_276]) ).

cnf(refute_0_278,plain,
    double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),multiply(double_divide(identity,X_12),multiply(X_12,X_11))) )],[refute_0_274,refute_0_277]) ).

cnf(refute_0_279,plain,
    ( multiply(double_divide(identity,X_12),multiply(X_12,X_11)) != multiply(inverse(X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(inverse(X_12),multiply(X_12,X_11)) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))),bind(Y0,$fot(multiply(double_divide(identity,X_12),multiply(X_12,X_11)))),bind(Z0,$fot(multiply(inverse(X_12),multiply(X_12,X_11))))]]) ).

cnf(refute_0_280,plain,
    ( multiply(double_divide(identity,X_12),multiply(X_12,X_11)) != multiply(inverse(X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(inverse(X_12),multiply(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),multiply(double_divide(identity,X_12),multiply(X_12,X_11))) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(inverse(X_12),multiply(X_12,X_11)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),multiply(X_12,X_11)),multiply(inverse(X_12),multiply(X_12,X_11))) )],[refute_0_273,refute_0_280]) ).

cnf(refute_0_282,plain,
    ( double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != X_11
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != multiply(inverse(X_12),multiply(X_12,X_11))
    | multiply(inverse(X_12),multiply(X_12,X_11)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),X_11) ),[0],$fot(multiply(inverse(X_12),multiply(X_12,X_11)))]]) ).

cnf(refute_0_283,plain,
    ( double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != X_11
    | multiply(inverse(X_12),multiply(X_12,X_11)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),multiply(inverse(X_12),multiply(X_12,X_11))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    multiply(inverse(X_12),multiply(X_12,X_11)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),X_11) )],[refute_0_268,refute_0_283]) ).

cnf(refute_0_285,plain,
    multiply(inverse(multiply(X_29,X_30)),multiply(multiply(X_29,X_30),inverse(X_30))) = inverse(X_30),
    inference(subst,[],[refute_0_284:[bind(X_11,$fot(inverse(X_30))),bind(X_12,$fot(multiply(X_29,X_30)))]]) ).

cnf(refute_0_286,plain,
    multiply(multiply(X_29,X_30),inverse(X_30)) = inverse(double_divide(inverse(X_30),multiply(X_29,X_30))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(multiply(X_29,X_30))),bind(Y,$fot(inverse(X_30)))]]) ).

cnf(refute_0_287,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_11)),inverse(identity)),double_divide(X_10,inverse(X_11)))) = X_11,
    inference(subst,[],[refute_0_31:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_11)))]]) ).

cnf(refute_0_288,plain,
    identity = double_divide(X_11,inverse(X_11)),
    inference(subst,[],[identity:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_289,plain,
    ( identity != double_divide(X_11,inverse(X_11))
    | double_divide(X_11,inverse(X_11)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_11,inverse(X_11))))]]) ).

cnf(refute_0_290,plain,
    double_divide(X_11,inverse(X_11)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_288,refute_0_289]) ).

cnf(refute_0_291,plain,
    ( double_divide(X_11,inverse(X_11)) != identity
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_11)),inverse(identity)),double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_11)),inverse(identity)),double_divide(X_10,inverse(X_11)))),X_11) ),[0,1,0,0],$fot(identity)]]) ).

cnf(refute_0_292,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_11)),inverse(identity)),double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_11)),inverse(identity)),double_divide(X_10,inverse(X_11)))),X_11) )],[refute_0_287,refute_0_292]) ).

cnf(refute_0_294,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) = double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))))]]) ).

cnf(refute_0_295,plain,
    ( double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) != double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) = double_divide(identity,double_divide(X_10,inverse(X_11))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_296,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) = double_divide(identity,double_divide(X_10,inverse(X_11))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) = double_divide(identity,double_divide(X_10,inverse(X_11))),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_73,refute_0_296]) ).

cnf(refute_0_298,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_299,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) != double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))))
    | double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) != double_divide(identity,double_divide(X_10,inverse(X_11)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))))) ),[1,1],$fot(double_divide(identity,double_divide(X_10,inverse(X_11))))]]) ).

cnf(refute_0_300,plain,
    ( double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) != double_divide(identity,double_divide(X_10,inverse(X_11)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))))) )],[refute_0_298,refute_0_299]) ).

cnf(refute_0_301,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))),double_divide(identity,double_divide(X_10,inverse(X_11)))) )],[refute_0_297,refute_0_300]) ).

cnf(refute_0_302,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),X_11) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_303,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),X_11) )],[refute_0_293,refute_0_303]) ).

cnf(refute_0_305,plain,
    inverse(double_divide(X_10,inverse(X_11))) = multiply(inverse(X_11),X_10),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(X_10))]]) ).

cnf(refute_0_306,plain,
    double_divide(identity,double_divide(X_10,inverse(X_11))) = inverse(double_divide(X_10,inverse(X_11))),
    inference(subst,[],[refute_0_218:[bind(X_15,$fot(double_divide(X_10,inverse(X_11))))]]) ).

cnf(refute_0_307,plain,
    ( double_divide(identity,double_divide(X_10,inverse(X_11))) != inverse(double_divide(X_10,inverse(X_11)))
    | inverse(double_divide(X_10,inverse(X_11))) != multiply(inverse(X_11),X_10)
    | double_divide(identity,double_divide(X_10,inverse(X_11))) = multiply(inverse(X_11),X_10) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(identity,double_divide(X_10,inverse(X_11))))),bind(Y0,$fot(inverse(double_divide(X_10,inverse(X_11))))),bind(Z0,$fot(multiply(inverse(X_11),X_10)))]]) ).

cnf(refute_0_308,plain,
    ( inverse(double_divide(X_10,inverse(X_11))) != multiply(inverse(X_11),X_10)
    | double_divide(identity,double_divide(X_10,inverse(X_11))) = multiply(inverse(X_11),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,inverse(X_11))),inverse(double_divide(X_10,inverse(X_11)))) )],[refute_0_306,refute_0_307]) ).

cnf(refute_0_309,plain,
    double_divide(identity,double_divide(X_10,inverse(X_11))) = multiply(inverse(X_11),X_10),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,inverse(X_11))),multiply(inverse(X_11),X_10)) )],[refute_0_305,refute_0_308]) ).

cnf(refute_0_310,plain,
    double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_311,plain,
    ( double_divide(identity,double_divide(X_10,inverse(X_11))) != multiply(inverse(X_11),X_10)
    | double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))
    | double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) ),[1,1],$fot(multiply(inverse(X_11),X_10))]]) ).

cnf(refute_0_312,plain,
    ( double_divide(identity,double_divide(X_10,inverse(X_11))) != multiply(inverse(X_11),X_10)
    | double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) )],[refute_0_310,refute_0_311]) ).

cnf(refute_0_313,plain,
    double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,inverse(X_11))),multiply(inverse(X_11),X_10)) )],[refute_0_309,refute_0_312]) ).

cnf(refute_0_314,plain,
    double_divide(identity,X_10) = inverse(X_10),
    inference(subst,[],[refute_0_218:[bind(X_15,$fot(X_10))]]) ).

cnf(refute_0_315,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_316,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))
    | double_divide(identity,X_10) != inverse(X_10)
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) ),[1,0],$fot(inverse(X_10))]]) ).

cnf(refute_0_317,plain,
    ( double_divide(identity,X_10) != inverse(X_10)
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) )],[refute_0_315,refute_0_316]) ).

cnf(refute_0_318,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_10),inverse(X_10)) )],[refute_0_314,refute_0_317]) ).

cnf(refute_0_319,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))
    | double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),multiply(inverse(X_11),X_10))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))),bind(Y0,$fot(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))),bind(Z0,$fot(double_divide(inverse(X_10),multiply(inverse(X_11),X_10))))]]) ).

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

cnf(refute_0_321,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(inverse(X_10),multiply(inverse(X_11),X_10))) )],[refute_0_313,refute_0_320]) ).

cnf(refute_0_322,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),multiply(inverse(X_11),X_10))
    | double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),X_11) ),[0],$fot(double_divide(inverse(X_10),multiply(inverse(X_11),X_10)))]]) ).

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

cnf(refute_0_324,plain,
    double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),X_11) )],[refute_0_304,refute_0_323]) ).

cnf(refute_0_325,plain,
    double_divide(inverse(X_27),multiply(inverse(inverse(X_11)),X_27)) = inverse(X_11),
    inference(subst,[],[refute_0_324:[bind(X_10,$fot(X_27)),bind(X_11,$fot(inverse(X_11)))]]) ).

cnf(refute_0_326,plain,
    ( double_divide(inverse(X_27),multiply(inverse(inverse(X_11)),X_27)) != inverse(X_11)
    | inverse(inverse(X_11)) != X_11
    | double_divide(inverse(X_27),multiply(X_11,X_27)) = inverse(X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_27),multiply(inverse(inverse(X_11)),X_27)),inverse(X_11)) ),[0,1,0],$fot(X_11)]]) ).

cnf(refute_0_327,plain,
    ( double_divide(inverse(X_27),multiply(inverse(inverse(X_11)),X_27)) != inverse(X_11)
    | double_divide(inverse(X_27),multiply(X_11,X_27)) = inverse(X_11) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_222,refute_0_326]) ).

cnf(refute_0_328,plain,
    double_divide(inverse(X_27),multiply(X_11,X_27)) = inverse(X_11),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_27),multiply(inverse(inverse(X_11)),X_27)),inverse(X_11)) )],[refute_0_325,refute_0_327]) ).

cnf(refute_0_329,plain,
    double_divide(inverse(X_30),multiply(X_29,X_30)) = inverse(X_29),
    inference(subst,[],[refute_0_328:[bind(X_11,$fot(X_29)),bind(X_27,$fot(X_30))]]) ).

cnf(refute_0_330,plain,
    ( multiply(multiply(X_29,X_30),inverse(X_30)) != inverse(double_divide(inverse(X_30),multiply(X_29,X_30)))
    | double_divide(inverse(X_30),multiply(X_29,X_30)) != inverse(X_29)
    | multiply(multiply(X_29,X_30),inverse(X_30)) = inverse(inverse(X_29)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_29,X_30),inverse(X_30)),inverse(double_divide(inverse(X_30),multiply(X_29,X_30)))) ),[1,0],$fot(inverse(X_29))]]) ).

cnf(refute_0_331,plain,
    ( multiply(multiply(X_29,X_30),inverse(X_30)) != inverse(double_divide(inverse(X_30),multiply(X_29,X_30)))
    | multiply(multiply(X_29,X_30),inverse(X_30)) = inverse(inverse(X_29)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_30),multiply(X_29,X_30)),inverse(X_29)) )],[refute_0_329,refute_0_330]) ).

cnf(refute_0_332,plain,
    multiply(multiply(X_29,X_30),inverse(X_30)) = inverse(inverse(X_29)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_29,X_30),inverse(X_30)),inverse(double_divide(inverse(X_30),multiply(X_29,X_30)))) )],[refute_0_286,refute_0_331]) ).

cnf(refute_0_333,plain,
    inverse(inverse(X_29)) = X_29,
    inference(subst,[],[refute_0_222:[bind(X_11,$fot(X_29))]]) ).

cnf(refute_0_334,plain,
    ( multiply(multiply(X_29,X_30),inverse(X_30)) != inverse(inverse(X_29))
    | inverse(inverse(X_29)) != X_29
    | multiply(multiply(X_29,X_30),inverse(X_30)) = X_29 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_29,X_30),inverse(X_30)),X_29) ),[0],$fot(inverse(inverse(X_29)))]]) ).

cnf(refute_0_335,plain,
    ( multiply(multiply(X_29,X_30),inverse(X_30)) != inverse(inverse(X_29))
    | multiply(multiply(X_29,X_30),inverse(X_30)) = X_29 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_29)),X_29) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    multiply(multiply(X_29,X_30),inverse(X_30)) = X_29,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_29,X_30),inverse(X_30)),inverse(inverse(X_29))) )],[refute_0_332,refute_0_335]) ).

cnf(refute_0_337,plain,
    ( multiply(multiply(X_29,X_30),inverse(X_30)) != X_29
    | multiply(inverse(multiply(X_29,X_30)),multiply(multiply(X_29,X_30),inverse(X_30))) != inverse(X_30)
    | multiply(inverse(multiply(X_29,X_30)),X_29) = inverse(X_30) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_29,X_30)),multiply(multiply(X_29,X_30),inverse(X_30))),inverse(X_30)) ),[0,1],$fot(X_29)]]) ).

cnf(refute_0_338,plain,
    ( multiply(inverse(multiply(X_29,X_30)),multiply(multiply(X_29,X_30),inverse(X_30))) != inverse(X_30)
    | multiply(inverse(multiply(X_29,X_30)),X_29) = inverse(X_30) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_29,X_30),inverse(X_30)),X_29) )],[refute_0_336,refute_0_337]) ).

cnf(refute_0_339,plain,
    multiply(inverse(multiply(X_29,X_30)),X_29) = inverse(X_30),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_29,X_30)),multiply(multiply(X_29,X_30),inverse(X_30))),inverse(X_30)) )],[refute_0_285,refute_0_338]) ).

cnf(refute_0_340,plain,
    inverse(inverse(double_divide(Y,X))) = double_divide(Y,X),
    inference(subst,[],[refute_0_222:[bind(X_11,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_341,plain,
    ( inverse(double_divide(Y,X)) != multiply(X,Y)
    | inverse(inverse(double_divide(Y,X))) != double_divide(Y,X)
    | inverse(multiply(X,Y)) = double_divide(Y,X) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(Y,X))),double_divide(Y,X)) ),[0,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_342,plain,
    ( inverse(inverse(double_divide(Y,X))) != double_divide(Y,X)
    | inverse(multiply(X,Y)) = double_divide(Y,X) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_40,refute_0_341]) ).

cnf(refute_0_343,plain,
    inverse(multiply(X,Y)) = double_divide(Y,X),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(Y,X))),double_divide(Y,X)) )],[refute_0_340,refute_0_342]) ).

cnf(refute_0_344,plain,
    inverse(multiply(X_29,X_30)) = double_divide(X_30,X_29),
    inference(subst,[],[refute_0_343:[bind(X,$fot(X_29)),bind(Y,$fot(X_30))]]) ).

cnf(refute_0_345,plain,
    multiply(inverse(multiply(X_29,X_30)),X_29) = multiply(inverse(multiply(X_29,X_30)),X_29),
    introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_29,X_30)),X_29))]]) ).

cnf(refute_0_346,plain,
    ( multiply(inverse(multiply(X_29,X_30)),X_29) != multiply(inverse(multiply(X_29,X_30)),X_29)
    | inverse(multiply(X_29,X_30)) != double_divide(X_30,X_29)
    | multiply(inverse(multiply(X_29,X_30)),X_29) = multiply(double_divide(X_30,X_29),X_29) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_29,X_30)),X_29),multiply(inverse(multiply(X_29,X_30)),X_29)) ),[1,0],$fot(double_divide(X_30,X_29))]]) ).

cnf(refute_0_347,plain,
    ( inverse(multiply(X_29,X_30)) != double_divide(X_30,X_29)
    | multiply(inverse(multiply(X_29,X_30)),X_29) = multiply(double_divide(X_30,X_29),X_29) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_29,X_30)),X_29),multiply(inverse(multiply(X_29,X_30)),X_29)) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    multiply(inverse(multiply(X_29,X_30)),X_29) = multiply(double_divide(X_30,X_29),X_29),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_29,X_30)),double_divide(X_30,X_29)) )],[refute_0_344,refute_0_347]) ).

cnf(refute_0_349,plain,
    ( multiply(inverse(multiply(X_29,X_30)),X_29) != multiply(double_divide(X_30,X_29),X_29)
    | multiply(inverse(multiply(X_29,X_30)),X_29) != inverse(X_30)
    | multiply(double_divide(X_30,X_29),X_29) = inverse(X_30) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_29,X_30)),X_29),inverse(X_30)) ),[0],$fot(multiply(double_divide(X_30,X_29),X_29))]]) ).

cnf(refute_0_350,plain,
    ( multiply(inverse(multiply(X_29,X_30)),X_29) != inverse(X_30)
    | multiply(double_divide(X_30,X_29),X_29) = inverse(X_30) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_29,X_30)),X_29),multiply(double_divide(X_30,X_29),X_29)) )],[refute_0_348,refute_0_349]) ).

cnf(refute_0_351,plain,
    multiply(double_divide(X_30,X_29),X_29) = inverse(X_30),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_29,X_30)),X_29),inverse(X_30)) )],[refute_0_339,refute_0_350]) ).

cnf(refute_0_352,plain,
    multiply(double_divide(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)),X_29),X_29) = inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))),
    inference(subst,[],[refute_0_351:[bind(X_30,$fot(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))))]]) ).

cnf(refute_0_353,plain,
    multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)))),bind(Y,$fot(double_divide(identity,X_10)))]]) ).

cnf(refute_0_354,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))) = X_11,
    inference(subst,[],[refute_0_31:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_355,plain,
    ( multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))) != X_11
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))))) ),[1,0],$fot(X_11)]]) ).

cnf(refute_0_356,plain,
    ( multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))))
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))),X_11) )],[refute_0_354,refute_0_355]) ).

cnf(refute_0_357,plain,
    multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))))) )],[refute_0_353,refute_0_356]) ).

cnf(refute_0_358,plain,
    double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) = double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)))]]) ).

cnf(refute_0_359,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != multiply(X_12,X_11)
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) != double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) = double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))) ),[1,0],$fot(multiply(X_12,X_11))]]) ).

cnf(refute_0_360,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != multiply(X_12,X_11)
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) = double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))) )],[refute_0_358,refute_0_359]) ).

cnf(refute_0_361,plain,
    double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) = double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),multiply(X_12,X_11)) )],[refute_0_250,refute_0_360]) ).

cnf(refute_0_362,plain,
    multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)))]]) ).

cnf(refute_0_363,plain,
    ( multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10))
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) != double_divide(multiply(X_12,X_11),double_divide(X_10,X_12))
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10))) ),[1,0],$fot(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)))]]) ).

cnf(refute_0_364,plain,
    ( double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) != double_divide(multiply(X_12,X_11),double_divide(X_10,X_12))
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10))) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(multiply(X_12,X_11),double_divide(X_10,X_12))) )],[refute_0_361,refute_0_364]) ).

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

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

cnf(refute_0_368,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(X_11)) )],[refute_0_357,refute_0_367]) ).

cnf(refute_0_369,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)))]]) ).

cnf(refute_0_370,plain,
    ( multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) != multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10))
    | double_divide(identity,X_10) != inverse(X_10)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10))) ),[1,1],$fot(inverse(X_10))]]) ).

cnf(refute_0_371,plain,
    ( double_divide(identity,X_10) != inverse(X_10)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10))) )],[refute_0_369,refute_0_370]) ).

cnf(refute_0_372,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_10),inverse(X_10)) )],[refute_0_314,refute_0_371]) ).

cnf(refute_0_373,plain,
    ( multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) != multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10))
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(X_11)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) = inverse(X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(X_11)) ),[0],$fot(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)))]]) ).

cnf(refute_0_374,plain,
    ( multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(X_11)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) = inverse(X_11) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10))) )],[refute_0_372,refute_0_373]) ).

cnf(refute_0_375,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) = inverse(X_11),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(X_11)) )],[refute_0_368,refute_0_374]) ).

cnf(refute_0_376,plain,
    multiply(inverse(X_12),multiply(X_12,double_divide(X_12,X_43))) = double_divide(X_12,X_43),
    inference(subst,[],[refute_0_284:[bind(X_11,$fot(double_divide(X_12,X_43)))]]) ).

cnf(refute_0_377,plain,
    multiply(multiply(inverse(X_41),multiply(X_41,X_40)),inverse(multiply(X_41,X_40))) = inverse(X_41),
    inference(subst,[],[refute_0_336:[bind(X_29,$fot(inverse(X_41))),bind(X_30,$fot(multiply(X_41,X_40)))]]) ).

cnf(refute_0_378,plain,
    multiply(inverse(X_41),multiply(X_41,X_40)) = X_40,
    inference(subst,[],[refute_0_284:[bind(X_11,$fot(X_40)),bind(X_12,$fot(X_41))]]) ).

cnf(refute_0_379,plain,
    ( multiply(multiply(inverse(X_41),multiply(X_41,X_40)),inverse(multiply(X_41,X_40))) != inverse(X_41)
    | multiply(inverse(X_41),multiply(X_41,X_40)) != X_40
    | multiply(X_40,inverse(multiply(X_41,X_40))) = inverse(X_41) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_41),multiply(X_41,X_40)),inverse(multiply(X_41,X_40))),inverse(X_41)) ),[0,0],$fot(X_40)]]) ).

cnf(refute_0_380,plain,
    ( multiply(multiply(inverse(X_41),multiply(X_41,X_40)),inverse(multiply(X_41,X_40))) != inverse(X_41)
    | multiply(X_40,inverse(multiply(X_41,X_40))) = inverse(X_41) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_41),multiply(X_41,X_40)),X_40) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    multiply(X_40,inverse(multiply(X_41,X_40))) = inverse(X_41),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_41),multiply(X_41,X_40)),inverse(multiply(X_41,X_40))),inverse(X_41)) )],[refute_0_377,refute_0_380]) ).

cnf(refute_0_382,plain,
    inverse(multiply(X_41,X_40)) = double_divide(X_40,X_41),
    inference(subst,[],[refute_0_343:[bind(X,$fot(X_41)),bind(Y,$fot(X_40))]]) ).

cnf(refute_0_383,plain,
    multiply(X_40,inverse(multiply(X_41,X_40))) = multiply(X_40,inverse(multiply(X_41,X_40))),
    introduced(tautology,[refl,[$fot(multiply(X_40,inverse(multiply(X_41,X_40))))]]) ).

cnf(refute_0_384,plain,
    ( multiply(X_40,inverse(multiply(X_41,X_40))) != multiply(X_40,inverse(multiply(X_41,X_40)))
    | inverse(multiply(X_41,X_40)) != double_divide(X_40,X_41)
    | multiply(X_40,inverse(multiply(X_41,X_40))) = multiply(X_40,double_divide(X_40,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_40,inverse(multiply(X_41,X_40))),multiply(X_40,inverse(multiply(X_41,X_40)))) ),[1,1],$fot(double_divide(X_40,X_41))]]) ).

cnf(refute_0_385,plain,
    ( inverse(multiply(X_41,X_40)) != double_divide(X_40,X_41)
    | multiply(X_40,inverse(multiply(X_41,X_40))) = multiply(X_40,double_divide(X_40,X_41)) ),
    inference(resolve,[$cnf( $equal(multiply(X_40,inverse(multiply(X_41,X_40))),multiply(X_40,inverse(multiply(X_41,X_40)))) )],[refute_0_383,refute_0_384]) ).

cnf(refute_0_386,plain,
    multiply(X_40,inverse(multiply(X_41,X_40))) = multiply(X_40,double_divide(X_40,X_41)),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_41,X_40)),double_divide(X_40,X_41)) )],[refute_0_382,refute_0_385]) ).

cnf(refute_0_387,plain,
    ( multiply(X_40,inverse(multiply(X_41,X_40))) != multiply(X_40,double_divide(X_40,X_41))
    | multiply(X_40,inverse(multiply(X_41,X_40))) != inverse(X_41)
    | multiply(X_40,double_divide(X_40,X_41)) = inverse(X_41) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_40,inverse(multiply(X_41,X_40))),inverse(X_41)) ),[0],$fot(multiply(X_40,double_divide(X_40,X_41)))]]) ).

cnf(refute_0_388,plain,
    ( multiply(X_40,inverse(multiply(X_41,X_40))) != inverse(X_41)
    | multiply(X_40,double_divide(X_40,X_41)) = inverse(X_41) ),
    inference(resolve,[$cnf( $equal(multiply(X_40,inverse(multiply(X_41,X_40))),multiply(X_40,double_divide(X_40,X_41))) )],[refute_0_386,refute_0_387]) ).

cnf(refute_0_389,plain,
    multiply(X_40,double_divide(X_40,X_41)) = inverse(X_41),
    inference(resolve,[$cnf( $equal(multiply(X_40,inverse(multiply(X_41,X_40))),inverse(X_41)) )],[refute_0_381,refute_0_388]) ).

cnf(refute_0_390,plain,
    multiply(X_12,double_divide(X_12,X_43)) = inverse(X_43),
    inference(subst,[],[refute_0_389:[bind(X_40,$fot(X_12)),bind(X_41,$fot(X_43))]]) ).

cnf(refute_0_391,plain,
    ( multiply(X_12,double_divide(X_12,X_43)) != inverse(X_43)
    | multiply(inverse(X_12),multiply(X_12,double_divide(X_12,X_43))) != double_divide(X_12,X_43)
    | multiply(inverse(X_12),inverse(X_43)) = double_divide(X_12,X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_12),multiply(X_12,double_divide(X_12,X_43))),double_divide(X_12,X_43)) ),[0,1],$fot(inverse(X_43))]]) ).

cnf(refute_0_392,plain,
    ( multiply(inverse(X_12),multiply(X_12,double_divide(X_12,X_43))) != double_divide(X_12,X_43)
    | multiply(inverse(X_12),inverse(X_43)) = double_divide(X_12,X_43) ),
    inference(resolve,[$cnf( $equal(multiply(X_12,double_divide(X_12,X_43)),inverse(X_43)) )],[refute_0_390,refute_0_391]) ).

cnf(refute_0_393,plain,
    multiply(inverse(X_12),inverse(X_43)) = double_divide(X_12,X_43),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_12),multiply(X_12,double_divide(X_12,X_43))),double_divide(X_12,X_43)) )],[refute_0_376,refute_0_392]) ).

cnf(refute_0_394,plain,
    multiply(inverse(multiply(X,Y)),inverse(X_49)) = double_divide(multiply(X,Y),X_49),
    inference(subst,[],[refute_0_393:[bind(X_12,$fot(multiply(X,Y))),bind(X_43,$fot(X_49))]]) ).

cnf(refute_0_395,plain,
    ( multiply(inverse(multiply(X,Y)),inverse(X_49)) != double_divide(multiply(X,Y),X_49)
    | inverse(multiply(X,Y)) != double_divide(Y,X)
    | multiply(double_divide(Y,X),inverse(X_49)) = double_divide(multiply(X,Y),X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X,Y)),inverse(X_49)),double_divide(multiply(X,Y),X_49)) ),[0,0],$fot(double_divide(Y,X))]]) ).

cnf(refute_0_396,plain,
    ( multiply(inverse(multiply(X,Y)),inverse(X_49)) != double_divide(multiply(X,Y),X_49)
    | multiply(double_divide(Y,X),inverse(X_49)) = double_divide(multiply(X,Y),X_49) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X,Y)),double_divide(Y,X)) )],[refute_0_343,refute_0_395]) ).

cnf(refute_0_397,plain,
    multiply(double_divide(Y,X),inverse(X_49)) = double_divide(multiply(X,Y),X_49),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,Y)),inverse(X_49)),double_divide(multiply(X,Y),X_49)) )],[refute_0_394,refute_0_396]) ).

cnf(refute_0_398,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) = double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10),
    inference(subst,[],[refute_0_397:[bind(X,$fot(double_divide(X_10,X_12))),bind(Y,$fot(multiply(X_12,X_11))),bind(X_49,$fot(X_10))]]) ).

cnf(refute_0_399,plain,
    ( multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) != double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) != inverse(X_11)
    | double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10) = inverse(X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)),inverse(X_11)) ),[0],$fot(double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10))]]) ).

cnf(refute_0_400,plain,
    ( multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) != inverse(X_11)
    | double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10) = inverse(X_11) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)),double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10)) )],[refute_0_398,refute_0_399]) ).

cnf(refute_0_401,plain,
    double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10) = inverse(X_11),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)),inverse(X_11)) )],[refute_0_375,refute_0_400]) ).

cnf(refute_0_402,plain,
    double_divide(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)),X_29) = inverse(X_65),
    inference(subst,[],[refute_0_401:[bind(X_10,$fot(X_29)),bind(X_11,$fot(X_65)),bind(X_12,$fot(X_66))]]) ).

cnf(refute_0_403,plain,
    ( multiply(double_divide(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)),X_29),X_29) != inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)))
    | double_divide(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)),X_29) != inverse(X_65)
    | multiply(inverse(X_65),X_29) = inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)),X_29),X_29),inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)))) ),[0,0],$fot(inverse(X_65))]]) ).

cnf(refute_0_404,plain,
    ( multiply(double_divide(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)),X_29),X_29) != inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)))
    | multiply(inverse(X_65),X_29) = inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)),X_29),inverse(X_65)) )],[refute_0_402,refute_0_403]) ).

cnf(refute_0_405,plain,
    multiply(inverse(X_65),X_29) = inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)),X_29),X_29),inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)))) )],[refute_0_352,refute_0_404]) ).

cnf(refute_0_406,plain,
    inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))) = double_divide(multiply(X_66,X_65),double_divide(X_29,X_66)),
    inference(subst,[],[refute_0_343:[bind(X,$fot(double_divide(X_29,X_66))),bind(Y,$fot(multiply(X_66,X_65)))]]) ).

cnf(refute_0_407,plain,
    ( multiply(inverse(X_65),X_29) != inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)))
    | inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))) != double_divide(multiply(X_66,X_65),double_divide(X_29,X_66))
    | multiply(inverse(X_65),X_29) = double_divide(multiply(X_66,X_65),double_divide(X_29,X_66)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_65),X_29),double_divide(multiply(X_66,X_65),double_divide(X_29,X_66))) ),[0],$fot(inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))))]]) ).

cnf(refute_0_408,plain,
    ( multiply(inverse(X_65),X_29) != inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)))
    | multiply(inverse(X_65),X_29) = double_divide(multiply(X_66,X_65),double_divide(X_29,X_66)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65))),double_divide(multiply(X_66,X_65),double_divide(X_29,X_66))) )],[refute_0_406,refute_0_407]) ).

cnf(refute_0_409,plain,
    multiply(inverse(X_65),X_29) = double_divide(multiply(X_66,X_65),double_divide(X_29,X_66)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_65),X_29),inverse(multiply(double_divide(X_29,X_66),multiply(X_66,X_65)))) )],[refute_0_405,refute_0_408]) ).

cnf(refute_0_410,plain,
    multiply(inverse(double_divide(X_90,X_41)),X_88) = double_divide(multiply(X_90,double_divide(X_90,X_41)),double_divide(X_88,X_90)),
    inference(subst,[],[refute_0_409:[bind(X_29,$fot(X_88)),bind(X_65,$fot(double_divide(X_90,X_41))),bind(X_66,$fot(X_90))]]) ).

cnf(refute_0_411,plain,
    multiply(X_90,double_divide(X_90,X_41)) = inverse(X_41),
    inference(subst,[],[refute_0_389:[bind(X_40,$fot(X_90))]]) ).

cnf(refute_0_412,plain,
    ( multiply(X_90,double_divide(X_90,X_41)) != inverse(X_41)
    | multiply(inverse(double_divide(X_90,X_41)),X_88) != double_divide(multiply(X_90,double_divide(X_90,X_41)),double_divide(X_88,X_90))
    | multiply(inverse(double_divide(X_90,X_41)),X_88) = double_divide(inverse(X_41),double_divide(X_88,X_90)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_90,X_41)),X_88),double_divide(multiply(X_90,double_divide(X_90,X_41)),double_divide(X_88,X_90))) ),[1,0],$fot(inverse(X_41))]]) ).

cnf(refute_0_413,plain,
    ( multiply(inverse(double_divide(X_90,X_41)),X_88) != double_divide(multiply(X_90,double_divide(X_90,X_41)),double_divide(X_88,X_90))
    | multiply(inverse(double_divide(X_90,X_41)),X_88) = double_divide(inverse(X_41),double_divide(X_88,X_90)) ),
    inference(resolve,[$cnf( $equal(multiply(X_90,double_divide(X_90,X_41)),inverse(X_41)) )],[refute_0_411,refute_0_412]) ).

cnf(refute_0_414,plain,
    multiply(inverse(double_divide(X_90,X_41)),X_88) = double_divide(inverse(X_41),double_divide(X_88,X_90)),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_90,X_41)),X_88),double_divide(multiply(X_90,double_divide(X_90,X_41)),double_divide(X_88,X_90))) )],[refute_0_410,refute_0_413]) ).

cnf(refute_0_415,plain,
    inverse(double_divide(X_90,X_41)) = multiply(X_41,X_90),
    inference(subst,[],[refute_0_40:[bind(X,$fot(X_41)),bind(Y,$fot(X_90))]]) ).

cnf(refute_0_416,plain,
    multiply(inverse(double_divide(X_90,X_41)),X_88) = multiply(inverse(double_divide(X_90,X_41)),X_88),
    introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_90,X_41)),X_88))]]) ).

cnf(refute_0_417,plain,
    ( multiply(inverse(double_divide(X_90,X_41)),X_88) != multiply(inverse(double_divide(X_90,X_41)),X_88)
    | inverse(double_divide(X_90,X_41)) != multiply(X_41,X_90)
    | multiply(inverse(double_divide(X_90,X_41)),X_88) = multiply(multiply(X_41,X_90),X_88) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_90,X_41)),X_88),multiply(inverse(double_divide(X_90,X_41)),X_88)) ),[1,0],$fot(multiply(X_41,X_90))]]) ).

cnf(refute_0_418,plain,
    ( inverse(double_divide(X_90,X_41)) != multiply(X_41,X_90)
    | multiply(inverse(double_divide(X_90,X_41)),X_88) = multiply(multiply(X_41,X_90),X_88) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_90,X_41)),X_88),multiply(inverse(double_divide(X_90,X_41)),X_88)) )],[refute_0_416,refute_0_417]) ).

cnf(refute_0_419,plain,
    multiply(inverse(double_divide(X_90,X_41)),X_88) = multiply(multiply(X_41,X_90),X_88),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_90,X_41)),multiply(X_41,X_90)) )],[refute_0_415,refute_0_418]) ).

cnf(refute_0_420,plain,
    ( multiply(inverse(double_divide(X_90,X_41)),X_88) != multiply(multiply(X_41,X_90),X_88)
    | multiply(inverse(double_divide(X_90,X_41)),X_88) != double_divide(inverse(X_41),double_divide(X_88,X_90))
    | multiply(multiply(X_41,X_90),X_88) = double_divide(inverse(X_41),double_divide(X_88,X_90)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_90,X_41)),X_88),double_divide(inverse(X_41),double_divide(X_88,X_90))) ),[0],$fot(multiply(multiply(X_41,X_90),X_88))]]) ).

cnf(refute_0_421,plain,
    ( multiply(inverse(double_divide(X_90,X_41)),X_88) != double_divide(inverse(X_41),double_divide(X_88,X_90))
    | multiply(multiply(X_41,X_90),X_88) = double_divide(inverse(X_41),double_divide(X_88,X_90)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_90,X_41)),X_88),multiply(multiply(X_41,X_90),X_88)) )],[refute_0_419,refute_0_420]) ).

cnf(refute_0_422,plain,
    inverse(double_divide(X_88,X_90)) = multiply(X_90,X_88),
    inference(subst,[],[refute_0_40:[bind(X,$fot(X_90)),bind(Y,$fot(X_88))]]) ).

cnf(refute_0_423,plain,
    multiply(X_41,inverse(double_divide(X_88,X_90))) = multiply(X_41,inverse(double_divide(X_88,X_90))),
    introduced(tautology,[refl,[$fot(multiply(X_41,inverse(double_divide(X_88,X_90))))]]) ).

cnf(refute_0_424,plain,
    ( multiply(X_41,inverse(double_divide(X_88,X_90))) != multiply(X_41,inverse(double_divide(X_88,X_90)))
    | inverse(double_divide(X_88,X_90)) != multiply(X_90,X_88)
    | multiply(X_41,inverse(double_divide(X_88,X_90))) = multiply(X_41,multiply(X_90,X_88)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_41,inverse(double_divide(X_88,X_90))),multiply(X_41,inverse(double_divide(X_88,X_90)))) ),[1,1],$fot(multiply(X_90,X_88))]]) ).

cnf(refute_0_425,plain,
    ( inverse(double_divide(X_88,X_90)) != multiply(X_90,X_88)
    | multiply(X_41,inverse(double_divide(X_88,X_90))) = multiply(X_41,multiply(X_90,X_88)) ),
    inference(resolve,[$cnf( $equal(multiply(X_41,inverse(double_divide(X_88,X_90))),multiply(X_41,inverse(double_divide(X_88,X_90)))) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    multiply(X_41,inverse(double_divide(X_88,X_90))) = multiply(X_41,multiply(X_90,X_88)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_88,X_90)),multiply(X_90,X_88)) )],[refute_0_422,refute_0_425]) ).

cnf(refute_0_427,plain,
    multiply(X_42,double_divide(X_42,multiply(X_29,inverse(X_42)))) = inverse(multiply(X_29,inverse(X_42))),
    inference(subst,[],[refute_0_389:[bind(X_40,$fot(X_42)),bind(X_41,$fot(multiply(X_29,inverse(X_42))))]]) ).

cnf(refute_0_428,plain,
    double_divide(inverse(inverse(X_11)),multiply(X_29,inverse(X_11))) = inverse(X_29),
    inference(subst,[],[refute_0_328:[bind(X_11,$fot(X_29)),bind(X_27,$fot(inverse(X_11)))]]) ).

cnf(refute_0_429,plain,
    ( double_divide(inverse(inverse(X_11)),multiply(X_29,inverse(X_11))) != inverse(X_29)
    | inverse(inverse(X_11)) != X_11
    | double_divide(X_11,multiply(X_29,inverse(X_11))) = inverse(X_29) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_11)),multiply(X_29,inverse(X_11))),inverse(X_29)) ),[0,0],$fot(X_11)]]) ).

cnf(refute_0_430,plain,
    ( double_divide(inverse(inverse(X_11)),multiply(X_29,inverse(X_11))) != inverse(X_29)
    | double_divide(X_11,multiply(X_29,inverse(X_11))) = inverse(X_29) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_222,refute_0_429]) ).

cnf(refute_0_431,plain,
    double_divide(X_11,multiply(X_29,inverse(X_11))) = inverse(X_29),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_11)),multiply(X_29,inverse(X_11))),inverse(X_29)) )],[refute_0_428,refute_0_430]) ).

cnf(refute_0_432,plain,
    double_divide(X_42,multiply(X_29,inverse(X_42))) = inverse(X_29),
    inference(subst,[],[refute_0_431:[bind(X_11,$fot(X_42))]]) ).

cnf(refute_0_433,plain,
    ( multiply(X_42,double_divide(X_42,multiply(X_29,inverse(X_42)))) != inverse(multiply(X_29,inverse(X_42)))
    | double_divide(X_42,multiply(X_29,inverse(X_42))) != inverse(X_29)
    | multiply(X_42,inverse(X_29)) = inverse(multiply(X_29,inverse(X_42))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_42,double_divide(X_42,multiply(X_29,inverse(X_42)))),inverse(multiply(X_29,inverse(X_42)))) ),[0,1],$fot(inverse(X_29))]]) ).

cnf(refute_0_434,plain,
    ( multiply(X_42,double_divide(X_42,multiply(X_29,inverse(X_42)))) != inverse(multiply(X_29,inverse(X_42)))
    | multiply(X_42,inverse(X_29)) = inverse(multiply(X_29,inverse(X_42))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_42,multiply(X_29,inverse(X_42))),inverse(X_29)) )],[refute_0_432,refute_0_433]) ).

cnf(refute_0_435,plain,
    multiply(X_42,inverse(X_29)) = inverse(multiply(X_29,inverse(X_42))),
    inference(resolve,[$cnf( $equal(multiply(X_42,double_divide(X_42,multiply(X_29,inverse(X_42)))),inverse(multiply(X_29,inverse(X_42)))) )],[refute_0_427,refute_0_434]) ).

cnf(refute_0_436,plain,
    inverse(multiply(X_29,inverse(X_42))) = double_divide(inverse(X_42),X_29),
    inference(subst,[],[refute_0_343:[bind(X,$fot(X_29)),bind(Y,$fot(inverse(X_42)))]]) ).

cnf(refute_0_437,plain,
    ( multiply(X_42,inverse(X_29)) != inverse(multiply(X_29,inverse(X_42)))
    | inverse(multiply(X_29,inverse(X_42))) != double_divide(inverse(X_42),X_29)
    | multiply(X_42,inverse(X_29)) = double_divide(inverse(X_42),X_29) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_42,inverse(X_29)),double_divide(inverse(X_42),X_29)) ),[0],$fot(inverse(multiply(X_29,inverse(X_42))))]]) ).

cnf(refute_0_438,plain,
    ( multiply(X_42,inverse(X_29)) != inverse(multiply(X_29,inverse(X_42)))
    | multiply(X_42,inverse(X_29)) = double_divide(inverse(X_42),X_29) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_29,inverse(X_42))),double_divide(inverse(X_42),X_29)) )],[refute_0_436,refute_0_437]) ).

cnf(refute_0_439,plain,
    multiply(X_42,inverse(X_29)) = double_divide(inverse(X_42),X_29),
    inference(resolve,[$cnf( $equal(multiply(X_42,inverse(X_29)),inverse(multiply(X_29,inverse(X_42)))) )],[refute_0_435,refute_0_438]) ).

cnf(refute_0_440,plain,
    ( multiply(X_42,inverse(X_29)) != double_divide(inverse(X_42),X_29)
    | double_divide(inverse(X_42),X_29) = multiply(X_42,inverse(X_29)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_42,inverse(X_29)))),bind(Y0,$fot(double_divide(inverse(X_42),X_29)))]]) ).

cnf(refute_0_441,plain,
    double_divide(inverse(X_42),X_29) = multiply(X_42,inverse(X_29)),
    inference(resolve,[$cnf( $equal(multiply(X_42,inverse(X_29)),double_divide(inverse(X_42),X_29)) )],[refute_0_439,refute_0_440]) ).

cnf(refute_0_442,plain,
    double_divide(inverse(X_41),double_divide(X_88,X_90)) = multiply(X_41,inverse(double_divide(X_88,X_90))),
    inference(subst,[],[refute_0_441:[bind(X_29,$fot(double_divide(X_88,X_90))),bind(X_42,$fot(X_41))]]) ).

cnf(refute_0_443,plain,
    ( multiply(X_41,inverse(double_divide(X_88,X_90))) != multiply(X_41,multiply(X_90,X_88))
    | double_divide(inverse(X_41),double_divide(X_88,X_90)) != multiply(X_41,inverse(double_divide(X_88,X_90)))
    | double_divide(inverse(X_41),double_divide(X_88,X_90)) = multiply(X_41,multiply(X_90,X_88)) ),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(double_divide(inverse(X_41),double_divide(X_88,X_90)))),bind(Y0,$fot(multiply(X_41,inverse(double_divide(X_88,X_90))))),bind(Z0,$fot(multiply(X_41,multiply(X_90,X_88))))]]) ).

cnf(refute_0_444,plain,
    ( multiply(X_41,inverse(double_divide(X_88,X_90))) != multiply(X_41,multiply(X_90,X_88))
    | double_divide(inverse(X_41),double_divide(X_88,X_90)) = multiply(X_41,multiply(X_90,X_88)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_41),double_divide(X_88,X_90)),multiply(X_41,inverse(double_divide(X_88,X_90)))) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    double_divide(inverse(X_41),double_divide(X_88,X_90)) = multiply(X_41,multiply(X_90,X_88)),
    inference(resolve,[$cnf( $equal(multiply(X_41,inverse(double_divide(X_88,X_90))),multiply(X_41,multiply(X_90,X_88))) )],[refute_0_426,refute_0_444]) ).

cnf(refute_0_446,plain,
    ( multiply(multiply(X_41,X_90),X_88) != double_divide(inverse(X_41),double_divide(X_88,X_90))
    | double_divide(inverse(X_41),double_divide(X_88,X_90)) != multiply(X_41,multiply(X_90,X_88))
    | multiply(multiply(X_41,X_90),X_88) = multiply(X_41,multiply(X_90,X_88)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_41,X_90),X_88),multiply(X_41,multiply(X_90,X_88))) ),[0],$fot(double_divide(inverse(X_41),double_divide(X_88,X_90)))]]) ).

cnf(refute_0_447,plain,
    ( multiply(multiply(X_41,X_90),X_88) != double_divide(inverse(X_41),double_divide(X_88,X_90))
    | multiply(multiply(X_41,X_90),X_88) = multiply(X_41,multiply(X_90,X_88)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_41),double_divide(X_88,X_90)),multiply(X_41,multiply(X_90,X_88))) )],[refute_0_445,refute_0_446]) ).

cnf(refute_0_448,plain,
    ( multiply(inverse(double_divide(X_90,X_41)),X_88) != double_divide(inverse(X_41),double_divide(X_88,X_90))
    | multiply(multiply(X_41,X_90),X_88) = multiply(X_41,multiply(X_90,X_88)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_41,X_90),X_88),double_divide(inverse(X_41),double_divide(X_88,X_90))) )],[refute_0_421,refute_0_447]) ).

cnf(refute_0_449,plain,
    multiply(multiply(X_41,X_90),X_88) = multiply(X_41,multiply(X_90,X_88)),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_90,X_41)),X_88),double_divide(inverse(X_41),double_divide(X_88,X_90))) )],[refute_0_414,refute_0_448]) ).

cnf(refute_0_450,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(subst,[],[refute_0_449:[bind(X_41,$fot(a3)),bind(X_88,$fot(c3)),bind(X_90,$fot(b3))]]) ).

cnf(refute_0_451,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_452,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_450,refute_0_451]) ).

cnf(refute_0_453,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_452,refute_0_234]) ).

cnf(refute_0_454,plain,
    multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_455,plain,
    $false,
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_454,refute_0_453]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP079-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 12:55:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44  
% 0.20/0.44  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.51  
%------------------------------------------------------------------------------