Metis---2.4.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP076-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 10:34:28 EDT 2022

% Result   : Unsatisfiable 0.45s 0.68s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  110
%            Number of leaves      :  149
% Syntax   : Number of clauses     :  591 ( 296 unt;   0 nHn; 303 RR)
%            Number of literals    : 1023 (1022 equ; 440 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   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   : 1095 (   0 sgn)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(refute_0_16,plain,
    multiply(inverse(a1),a1) = inverse(identity),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(a1))]]) ).

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

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

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

cnf(refute_0_20,plain,
    multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
    inference(subst,[],[refute_0_8:[bind(X,$fot(identity)),bind(Y,$fot(X_3))]]) ).

cnf(refute_0_21,plain,
    inverse(X_3) = double_divide(X_3,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_22,plain,
    ( inverse(X_3) != double_divide(X_3,identity)
    | double_divide(X_3,identity) = inverse(X_3) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_3))),bind(Y0,$fot(double_divide(X_3,identity)))]]) ).

cnf(refute_0_23,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
    | double_divide(X_3,identity) != inverse(X_3)
    | multiply(identity,X_3) = inverse(inverse(X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).

cnf(refute_0_25,plain,
    ( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
    | multiply(identity,X_3) = inverse(inverse(X_3)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_23,refute_0_24]) ).

cnf(refute_0_26,plain,
    multiply(identity,X_3) = inverse(inverse(X_3)),
    inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_20,refute_0_25]) ).

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

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

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

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

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

cnf(refute_0_32,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(subst,[],[refute_0_4:[bind(X,$fot(identity))]]) ).

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

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

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

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

cnf(refute_0_37,plain,
    double_divide(Y,identity) = inverse(Y),
    inference(subst,[],[refute_0_4:[bind(X,$fot(Y))]]) ).

cnf(refute_0_38,plain,
    double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)) = double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)))]]) ).

cnf(refute_0_39,plain,
    ( double_divide(Y,identity) != inverse(Y)
    | double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)) != double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))
    | double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)) = double_divide(double_divide(double_divide(X,Y),Z),inverse(Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)),double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) ),[1,1],$fot(inverse(Y))]]) ).

cnf(refute_0_40,plain,
    ( double_divide(Y,identity) != inverse(Y)
    | double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)) = double_divide(double_divide(double_divide(X,Y),Z),inverse(Y)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)),double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) )],[refute_0_38,refute_0_39]) ).

cnf(refute_0_41,plain,
    double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)) = double_divide(double_divide(double_divide(X,Y),Z),inverse(Y)),
    inference(resolve,[$cnf( $equal(double_divide(Y,identity),inverse(Y)) )],[refute_0_37,refute_0_40]) ).

cnf(refute_0_42,plain,
    double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) = double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),
    introduced(tautology,[refl,[$fot(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))))]]) ).

cnf(refute_0_43,plain,
    ( double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) != double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)))
    | double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)) != double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))
    | double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) = double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)))) ),[1,1],$fot(double_divide(double_divide(double_divide(X,Y),Z),inverse(Y)))]]) ).

cnf(refute_0_44,plain,
    ( double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)) != double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))
    | double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) = double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))) ),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)))) )],[refute_0_42,refute_0_43]) ).

cnf(refute_0_45,plain,
    double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) = double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity)),double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))) )],[refute_0_41,refute_0_44]) ).

cnf(refute_0_46,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)))]]) ).

cnf(refute_0_47,plain,
    ( double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) != double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y)))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),double_divide(identity,identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))))]]) ).

cnf(refute_0_48,plain,
    ( double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))) != double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y)))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),double_divide(identity,identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity))) )],[refute_0_46,refute_0_47]) ).

cnf(refute_0_49,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),double_divide(identity,identity)),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y)))) )],[refute_0_45,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_51,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_50]) ).

cnf(refute_0_52,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),double_divide(identity,identity))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),inverse(identity))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),inverse(identity)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)))),bind(Y0,$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),double_divide(identity,identity)))),bind(Z0,$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),inverse(identity))))]]) ).

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

cnf(refute_0_54,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),inverse(identity))) )],[refute_0_36,refute_0_53]) ).

cnf(refute_0_55,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) != Z
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),inverse(identity))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),inverse(identity)) = Z ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)),Z) ),[0],$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),inverse(Y))),inverse(identity)))]]) ).

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

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

cnf(refute_0_58,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,double_divide(multiply(X_20,X),inverse(X_20))),inverse(identity)),inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_57:[bind(Y,$fot(double_divide(multiply(X_20,X),inverse(X_20)))),bind(Z,$fot(inverse(identity)))]]) ).

cnf(refute_0_59,plain,
    double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),identity),inverse(X_9))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(identity))]]) ).

cnf(refute_0_60,plain,
    inverse(double_divide(X_8,X_9)) = double_divide(double_divide(X_8,X_9),identity),
    inference(subst,[],[inverse:[bind(X,$fot(double_divide(X_8,X_9)))]]) ).

cnf(refute_0_61,plain,
    ( inverse(double_divide(X_8,X_9)) != double_divide(double_divide(X_8,X_9),identity)
    | double_divide(double_divide(X_8,X_9),identity) = inverse(double_divide(X_8,X_9)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(double_divide(X_8,X_9)))),bind(Y0,$fot(double_divide(double_divide(X_8,X_9),identity)))]]) ).

cnf(refute_0_62,plain,
    double_divide(double_divide(X_8,X_9),identity) = inverse(double_divide(X_8,X_9)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_8,X_9)),double_divide(double_divide(X_8,X_9),identity)) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( double_divide(double_divide(X_8,X_9),identity) != inverse(double_divide(X_8,X_9))
    | double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),identity),inverse(X_9))),inverse(identity)) != identity
    | double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),identity),inverse(X_9))),inverse(identity)),identity) ),[0,0,1,0],$fot(inverse(double_divide(X_8,X_9)))]]) ).

cnf(refute_0_64,plain,
    ( double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),identity),inverse(X_9))),inverse(identity)) != identity
    | double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,X_9),identity),inverse(double_divide(X_8,X_9))) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),identity),inverse(X_9))),inverse(identity)),identity) )],[refute_0_59,refute_0_64]) ).

cnf(refute_0_66,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_67,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_66]) ).

cnf(refute_0_68,plain,
    inverse(double_divide(X_8,X_9)) = multiply(X_9,X_8),
    inference(subst,[],[refute_0_67:[bind(X,$fot(X_9)),bind(Y,$fot(X_8))]]) ).

cnf(refute_0_69,plain,
    double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)) = double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)))]]) ).

cnf(refute_0_70,plain,
    ( double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)) != double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))
    | inverse(double_divide(X_8,X_9)) != multiply(X_9,X_8)
    | double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)) = double_divide(multiply(X_9,X_8),inverse(X_9)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)),double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) ),[1,0],$fot(multiply(X_9,X_8))]]) ).

cnf(refute_0_71,plain,
    ( inverse(double_divide(X_8,X_9)) != multiply(X_9,X_8)
    | double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)) = double_divide(multiply(X_9,X_8),inverse(X_9)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)),double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)) = double_divide(multiply(X_9,X_8),inverse(X_9)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_8,X_9)),multiply(X_9,X_8)) )],[refute_0_68,refute_0_71]) ).

cnf(refute_0_73,plain,
    double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) = double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),
    introduced(tautology,[refl,[$fot(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))))]]) ).

cnf(refute_0_74,plain,
    ( double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) != double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)))
    | double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)) != double_divide(multiply(X_9,X_8),inverse(X_9))
    | double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) = double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)))) ),[1,1],$fot(double_divide(multiply(X_9,X_8),inverse(X_9)))]]) ).

cnf(refute_0_75,plain,
    ( double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)) != double_divide(multiply(X_9,X_8),inverse(X_9))
    | double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) = double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) = double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9)),double_divide(multiply(X_9,X_8),inverse(X_9))) )],[refute_0_72,refute_0_75]) ).

cnf(refute_0_77,plain,
    double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) = double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)))]]) ).

cnf(refute_0_78,plain,
    ( double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) != double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9)))
    | double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) != double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity))
    | double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) = double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)),double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity))) ),[1,0],$fot(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))))]]) ).

cnf(refute_0_79,plain,
    ( double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))) != double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9)))
    | double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) = double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)),double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity))) )],[refute_0_77,refute_0_78]) ).

cnf(refute_0_80,plain,
    double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) = double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9)))) )],[refute_0_76,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) != double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity))
    | double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) != identity
    | double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)),identity) ),[0],$fot(double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity)))]]) ).

cnf(refute_0_82,plain,
    ( double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)) != identity
    | double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)),double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity))) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    double_divide(double_divide(X_8,double_divide(multiply(X_9,X_8),inverse(X_9))),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(inverse(double_divide(X_8,X_9)),inverse(X_9))),inverse(identity)),identity) )],[refute_0_65,refute_0_82]) ).

cnf(refute_0_84,plain,
    double_divide(double_divide(X,double_divide(multiply(X_20,X),inverse(X_20))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_83:[bind(X_8,$fot(X)),bind(X_9,$fot(X_20))]]) ).

cnf(refute_0_85,plain,
    ( double_divide(double_divide(X,double_divide(multiply(X_20,X),inverse(X_20))),inverse(identity)) != identity
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,double_divide(multiply(X_20,X),inverse(X_20))),inverse(identity)),inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) != inverse(identity)
    | double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,double_divide(multiply(X_20,X),inverse(X_20))),inverse(identity)),inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)),inverse(identity)) ),[0,0,1,0],$fot(identity)]]) ).

cnf(refute_0_86,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,double_divide(multiply(X_20,X),inverse(X_20))),inverse(identity)),inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) != inverse(identity)
    | double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(multiply(X_20,X),inverse(X_20))),inverse(identity)),identity) )],[refute_0_84,refute_0_85]) ).

cnf(refute_0_87,plain,
    double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,double_divide(multiply(X_20,X),inverse(X_20))),inverse(identity)),inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)),inverse(identity)) )],[refute_0_58,refute_0_86]) ).

cnf(refute_0_88,plain,
    double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))),inverse(X_9))),inverse(identity)) = inverse(double_divide(X_8,X_9)),
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(inverse(double_divide(X_8,X_9))))]]) ).

cnf(refute_0_89,plain,
    identity = double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))),
    inference(subst,[],[identity:[bind(X,$fot(double_divide(X_8,X_9)))]]) ).

cnf(refute_0_90,plain,
    ( identity != double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9)))
    | double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9)))))]]) ).

cnf(refute_0_91,plain,
    double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9)))) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    ( double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))) != identity
    | double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))),inverse(X_9))),inverse(identity)) != inverse(double_divide(X_8,X_9))
    | double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)) = inverse(double_divide(X_8,X_9)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))),inverse(X_9))),inverse(identity)),inverse(double_divide(X_8,X_9))) ),[0,0,1,0],$fot(identity)]]) ).

cnf(refute_0_93,plain,
    ( double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))),inverse(X_9))),inverse(identity)) != inverse(double_divide(X_8,X_9))
    | double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)) = inverse(double_divide(X_8,X_9)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))),identity) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)) = inverse(double_divide(X_8,X_9)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),inverse(double_divide(X_8,X_9))),inverse(X_9))),inverse(identity)),inverse(double_divide(X_8,X_9))) )],[refute_0_88,refute_0_93]) ).

cnf(refute_0_95,plain,
    ( double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)) != inverse(double_divide(X_8,X_9))
    | inverse(double_divide(X_8,X_9)) != multiply(X_9,X_8)
    | double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)) = multiply(X_9,X_8) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)),multiply(X_9,X_8)) ),[0],$fot(inverse(double_divide(X_8,X_9)))]]) ).

cnf(refute_0_96,plain,
    ( double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)) != inverse(double_divide(X_8,X_9))
    | double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)) = multiply(X_9,X_8) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_8,X_9)),multiply(X_9,X_8)) )],[refute_0_68,refute_0_95]) ).

cnf(refute_0_97,plain,
    double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)) = multiply(X_9,X_8),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(identity,inverse(X_9))),inverse(identity)),inverse(double_divide(X_8,X_9))) )],[refute_0_94,refute_0_96]) ).

cnf(refute_0_98,plain,
    double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) = multiply(double_divide(multiply(X_20,X),inverse(X_20)),X),
    inference(subst,[],[refute_0_97:[bind(X_8,$fot(X)),bind(X_9,$fot(double_divide(multiply(X_20,X),inverse(X_20))))]]) ).

cnf(refute_0_99,plain,
    ( double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) != multiply(double_divide(multiply(X_20,X),inverse(X_20)),X)
    | double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) != inverse(identity)
    | multiply(double_divide(multiply(X_20,X),inverse(X_20)),X) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)),inverse(identity)) ),[0],$fot(multiply(double_divide(multiply(X_20,X),inverse(X_20)),X))]]) ).

cnf(refute_0_100,plain,
    ( double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)) != inverse(identity)
    | multiply(double_divide(multiply(X_20,X),inverse(X_20)),X) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)),multiply(double_divide(multiply(X_20,X),inverse(X_20)),X)) )],[refute_0_98,refute_0_99]) ).

cnf(refute_0_101,plain,
    multiply(double_divide(multiply(X_20,X),inverse(X_20)),X) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(identity,inverse(double_divide(multiply(X_20,X),inverse(X_20))))),inverse(identity)),inverse(identity)) )],[refute_0_87,refute_0_100]) ).

cnf(refute_0_102,plain,
    multiply(double_divide(multiply(inverse(X_21),X_21),inverse(inverse(X_21))),X_21) = inverse(identity),
    inference(subst,[],[refute_0_101:[bind(X,$fot(X_21)),bind(X_20,$fot(inverse(X_21)))]]) ).

cnf(refute_0_103,plain,
    multiply(inverse(X_21),X_21) = inverse(identity),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_21))]]) ).

cnf(refute_0_104,plain,
    ( multiply(double_divide(multiply(inverse(X_21),X_21),inverse(inverse(X_21))),X_21) != inverse(identity)
    | multiply(inverse(X_21),X_21) != inverse(identity)
    | multiply(double_divide(inverse(identity),inverse(inverse(X_21))),X_21) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_21),X_21),inverse(inverse(X_21))),X_21),inverse(identity)) ),[0,0,0],$fot(inverse(identity))]]) ).

cnf(refute_0_105,plain,
    ( multiply(double_divide(multiply(inverse(X_21),X_21),inverse(inverse(X_21))),X_21) != inverse(identity)
    | multiply(double_divide(inverse(identity),inverse(inverse(X_21))),X_21) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_21),X_21),inverse(identity)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    multiply(double_divide(inverse(identity),inverse(inverse(X_21))),X_21) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_21),X_21),inverse(inverse(X_21))),X_21),inverse(identity)) )],[refute_0_102,refute_0_105]) ).

cnf(refute_0_107,plain,
    multiply(double_divide(inverse(identity),inverse(inverse(identity))),identity) = inverse(identity),
    inference(subst,[],[refute_0_106:[bind(X_21,$fot(identity))]]) ).

cnf(refute_0_108,plain,
    ( identity != double_divide(inverse(identity),inverse(inverse(identity)))
    | double_divide(inverse(identity),inverse(inverse(identity))) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(inverse(identity),inverse(inverse(identity)))))]]) ).

cnf(refute_0_109,plain,
    double_divide(inverse(identity),inverse(inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(inverse(identity)))) )],[refute_0_31,refute_0_108]) ).

cnf(refute_0_110,plain,
    ( multiply(double_divide(inverse(identity),inverse(inverse(identity))),identity) != inverse(identity)
    | double_divide(inverse(identity),inverse(inverse(identity))) != identity
    | multiply(identity,identity) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(inverse(identity))),identity),inverse(identity)) ),[0,0],$fot(identity)]]) ).

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

cnf(refute_0_112,plain,
    multiply(identity,identity) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(inverse(identity))),identity),inverse(identity)) )],[refute_0_107,refute_0_111]) ).

cnf(refute_0_113,plain,
    multiply(identity,identity) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_26:[bind(X_3,$fot(identity))]]) ).

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

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

cnf(refute_0_116,plain,
    inverse(inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(identity)) )],[refute_0_112,refute_0_115]) ).

cnf(refute_0_117,plain,
    ( identity != double_divide(inverse(identity),inverse(inverse(identity)))
    | inverse(inverse(identity)) != inverse(identity)
    | identity = double_divide(inverse(identity),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(inverse(identity)))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_118,plain,
    ( identity != double_divide(inverse(identity),inverse(inverse(identity)))
    | identity = double_divide(inverse(identity),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    identity = double_divide(inverse(identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(inverse(identity)))) )],[refute_0_31,refute_0_118]) ).

cnf(refute_0_120,plain,
    double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = multiply(identity,X_13),
    inference(subst,[],[refute_0_97:[bind(X_8,$fot(X_13)),bind(X_9,$fot(identity))]]) ).

cnf(refute_0_121,plain,
    identity = double_divide(identity,inverse(identity)),
    inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).

cnf(refute_0_122,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_123,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_121,refute_0_122]) ).

cnf(refute_0_124,plain,
    ( double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != multiply(identity,X_13)
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(X_13,identity),inverse(identity)) = multiply(identity,X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),multiply(identity,X_13)) ),[0,0,1],$fot(identity)]]) ).

cnf(refute_0_125,plain,
    ( double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != multiply(identity,X_13)
    | double_divide(double_divide(X_13,identity),inverse(identity)) = multiply(identity,X_13) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_123,refute_0_124]) ).

cnf(refute_0_126,plain,
    double_divide(double_divide(X_13,identity),inverse(identity)) = multiply(identity,X_13),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),multiply(identity,X_13)) )],[refute_0_120,refute_0_125]) ).

cnf(refute_0_127,plain,
    double_divide(X_13,identity) = inverse(X_13),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_13))]]) ).

cnf(refute_0_128,plain,
    double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(double_divide(X_13,identity),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_13,identity),inverse(identity)))]]) ).

cnf(refute_0_129,plain,
    ( double_divide(X_13,identity) != inverse(X_13)
    | double_divide(double_divide(X_13,identity),inverse(identity)) != double_divide(double_divide(X_13,identity),inverse(identity))
    | double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(double_divide(X_13,identity),inverse(identity))) ),[1,0],$fot(inverse(X_13))]]) ).

cnf(refute_0_130,plain,
    ( double_divide(X_13,identity) != inverse(X_13)
    | double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(double_divide(X_13,identity),inverse(identity))) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_13,identity),inverse(X_13)) )],[refute_0_127,refute_0_130]) ).

cnf(refute_0_132,plain,
    ( double_divide(double_divide(X_13,identity),inverse(identity)) != multiply(identity,X_13)
    | double_divide(double_divide(X_13,identity),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
    | double_divide(inverse(X_13),inverse(identity)) = multiply(identity,X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),multiply(identity,X_13)) ),[0],$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).

cnf(refute_0_133,plain,
    ( double_divide(double_divide(X_13,identity),inverse(identity)) != multiply(identity,X_13)
    | double_divide(inverse(X_13),inverse(identity)) = multiply(identity,X_13) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    multiply(identity,X_13) = inverse(inverse(X_13)),
    inference(subst,[],[refute_0_26:[bind(X_3,$fot(X_13))]]) ).

cnf(refute_0_135,plain,
    ( multiply(identity,X_13) != inverse(inverse(X_13))
    | double_divide(inverse(X_13),inverse(identity)) != multiply(identity,X_13)
    | double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),multiply(identity,X_13)) ),[1],$fot(inverse(inverse(X_13)))]]) ).

cnf(refute_0_136,plain,
    ( double_divide(inverse(X_13),inverse(identity)) != multiply(identity,X_13)
    | double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
    inference(resolve,[$cnf( $equal(multiply(identity,X_13),inverse(inverse(X_13))) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    ( double_divide(double_divide(X_13,identity),inverse(identity)) != multiply(identity,X_13)
    | double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),multiply(identity,X_13)) )],[refute_0_133,refute_0_136]) ).

cnf(refute_0_138,plain,
    double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),multiply(identity,X_13)) )],[refute_0_126,refute_0_137]) ).

cnf(refute_0_139,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_138:[bind(X_13,$fot(identity))]]) ).

cnf(refute_0_140,plain,
    ( double_divide(inverse(identity),inverse(identity)) != inverse(inverse(identity))
    | inverse(inverse(identity)) != inverse(identity)
    | double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(inverse(identity),inverse(identity)))),bind(Y0,$fot(inverse(inverse(identity)))),bind(Z0,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_142,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_116,refute_0_141]) ).

cnf(refute_0_143,plain,
    ( double_divide(inverse(identity),inverse(identity)) != inverse(identity)
    | identity != double_divide(inverse(identity),inverse(identity))
    | identity = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(identity))) ),[1],$fot(inverse(identity))]]) ).

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

cnf(refute_0_145,plain,
    identity = inverse(identity),
    inference(resolve,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(identity))) )],[refute_0_119,refute_0_144]) ).

cnf(refute_0_146,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).

cnf(refute_0_147,plain,
    inverse(identity) = identity,
    inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    ( identity != identity
    | inverse(identity) != identity
    | inverse(identity) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(identity),identity) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_149,plain,
    ( identity != identity
    | inverse(identity) = identity ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_147,refute_0_148]) ).

cnf(refute_0_150,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | identity != identity
    | inverse(inverse(a2)) != a2 ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_149,refute_0_30]) ).

cnf(refute_0_151,plain,
    identity = identity,
    introduced(tautology,[refl,[$fot(identity)]]) ).

cnf(refute_0_152,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | inverse(inverse(a2)) != a2 ),
    inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_151,refute_0_150]) ).

cnf(refute_0_153,plain,
    double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)),Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = Z,
    inference(subst,[],[refute_0_57:[bind(X,$fot(double_divide(X_12,X_11))),bind(Y,$fot(multiply(X_11,X_12)))]]) ).

cnf(refute_0_154,plain,
    identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
    inference(subst,[],[identity:[bind(X,$fot(double_divide(X_3,X_2)))]]) ).

cnf(refute_0_155,plain,
    multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
    inference(subst,[],[refute_0_8:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).

cnf(refute_0_156,plain,
    ( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
    | inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,X_3))),bind(Y0,$fot(inverse(double_divide(X_3,X_2))))]]) ).

cnf(refute_0_157,plain,
    inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_155,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
    | inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
    | identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).

cnf(refute_0_159,plain,
    ( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
    | identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_154,refute_0_159]) ).

cnf(refute_0_161,plain,
    identity = double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)),
    inference(subst,[],[refute_0_160:[bind(X_2,$fot(X_11)),bind(X_3,$fot(X_12))]]) ).

cnf(refute_0_162,plain,
    ( identity != double_divide(double_divide(X_12,X_11),multiply(X_11,X_12))
    | double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(double_divide(X_12,X_11),multiply(X_11,X_12))))]]) ).

cnf(refute_0_163,plain,
    double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_12,X_11),multiply(X_11,X_12))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    ( double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)) != identity
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)),Z),inverse(multiply(X_11,X_12)))),inverse(identity)) != Z
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = Z ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)),Z),inverse(multiply(X_11,X_12)))),inverse(identity)),Z) ),[0,0,1,0,0],$fot(identity)]]) ).

cnf(refute_0_165,plain,
    ( double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)),Z),inverse(multiply(X_11,X_12)))),inverse(identity)) != Z
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = Z ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)),identity) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = Z,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(double_divide(double_divide(X_12,X_11),multiply(X_11,X_12)),Z),inverse(multiply(X_11,X_12)))),inverse(identity)),Z) )],[refute_0_153,refute_0_165]) ).

cnf(refute_0_167,plain,
    inverse(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))))) = multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)),
    inference(subst,[],[refute_0_67:[bind(X,$fot(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))))),bind(Y,$fot(double_divide(X_12,X_11)))]]) ).

cnf(refute_0_168,plain,
    double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) = inverse(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))))))]]) ).

cnf(refute_0_169,plain,
    ( double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) != inverse(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))))
    | inverse(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))))) != multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) = multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity))),bind(Y0,$fot(inverse(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))))))),bind(Z0,$fot(multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))))]]) ).

cnf(refute_0_170,plain,
    ( inverse(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))))) != multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) = multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity),inverse(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))))) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) = multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))))),multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))) )],[refute_0_167,refute_0_170]) ).

cnf(refute_0_172,plain,
    double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)))]]) ).

cnf(refute_0_173,plain,
    ( double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) != double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)),double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_174,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)),double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity))) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_147,refute_0_174]) ).

cnf(refute_0_176,plain,
    ( double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) != multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) != double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity)
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity))),bind(Z0,$fot(multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))))]]) ).

cnf(refute_0_177,plain,
    ( double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity) != multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)),double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity)) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) = multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),identity),multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))) )],[refute_0_171,refute_0_177]) ).

cnf(refute_0_179,plain,
    ( double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) != Z
    | double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) != multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))
    | multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)) = Z ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)),Z) ),[0],$fot(multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)))]]) ).

cnf(refute_0_180,plain,
    ( double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)) != Z
    | multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)) = Z ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)),multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11))) )],[refute_0_178,refute_0_179]) ).

cnf(refute_0_181,plain,
    multiply(double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12))),double_divide(X_12,X_11)) = Z,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_12,X_11),double_divide(double_divide(identity,Z),inverse(multiply(X_11,X_12)))),inverse(identity)),Z) )],[refute_0_166,refute_0_180]) ).

cnf(refute_0_182,plain,
    multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),double_divide(X_29,identity)) = X_27,
    inference(subst,[],[refute_0_181:[bind(Z,$fot(X_27)),bind(X_11,$fot(identity)),bind(X_12,$fot(X_29))]]) ).

cnf(refute_0_183,plain,
    inverse(X_29) = double_divide(X_29,identity),
    inference(subst,[],[inverse:[bind(X,$fot(X_29))]]) ).

cnf(refute_0_184,plain,
    ( inverse(X_29) != double_divide(X_29,identity)
    | double_divide(X_29,identity) = inverse(X_29) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_29))),bind(Y0,$fot(double_divide(X_29,identity)))]]) ).

cnf(refute_0_185,plain,
    double_divide(X_29,identity) = inverse(X_29),
    inference(resolve,[$cnf( $equal(inverse(X_29),double_divide(X_29,identity)) )],[refute_0_183,refute_0_184]) ).

cnf(refute_0_186,plain,
    ( multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),double_divide(X_29,identity)) != X_27
    | double_divide(X_29,identity) != inverse(X_29)
    | multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) = X_27 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),double_divide(X_29,identity)),X_27) ),[0,1],$fot(inverse(X_29))]]) ).

cnf(refute_0_187,plain,
    ( multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),double_divide(X_29,identity)) != X_27
    | multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) = X_27 ),
    inference(resolve,[$cnf( $equal(double_divide(X_29,identity),inverse(X_29)) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) = X_27,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),double_divide(X_29,identity)),X_27) )],[refute_0_182,refute_0_187]) ).

cnf(refute_0_189,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))),inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))),
    inference(subst,[],[refute_0_57:[bind(Y,$fot(identity)),bind(Z,$fot(double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))))]]) ).

cnf(refute_0_190,plain,
    double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,inverse(X_8)),X_10),inverse(inverse(X_8)))),inverse(identity)) = X_10,
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_8)),bind(Y,$fot(inverse(X_8))),bind(Z,$fot(X_10))]]) ).

cnf(refute_0_191,plain,
    identity = double_divide(X_8,inverse(X_8)),
    inference(subst,[],[identity:[bind(X,$fot(X_8))]]) ).

cnf(refute_0_192,plain,
    ( identity != double_divide(X_8,inverse(X_8))
    | double_divide(X_8,inverse(X_8)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_8,inverse(X_8))))]]) ).

cnf(refute_0_193,plain,
    double_divide(X_8,inverse(X_8)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_8,inverse(X_8))) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    ( double_divide(X_8,inverse(X_8)) != identity
    | double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,inverse(X_8)),X_10),inverse(inverse(X_8)))),inverse(identity)) != X_10
    | double_divide(double_divide(X_8,double_divide(double_divide(identity,X_10),inverse(inverse(X_8)))),inverse(identity)) = X_10 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,inverse(X_8)),X_10),inverse(inverse(X_8)))),inverse(identity)),X_10) ),[0,0,1,0,0],$fot(identity)]]) ).

cnf(refute_0_195,plain,
    ( double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,inverse(X_8)),X_10),inverse(inverse(X_8)))),inverse(identity)) != X_10
    | double_divide(double_divide(X_8,double_divide(double_divide(identity,X_10),inverse(inverse(X_8)))),inverse(identity)) = X_10 ),
    inference(resolve,[$cnf( $equal(double_divide(X_8,inverse(X_8)),identity) )],[refute_0_193,refute_0_194]) ).

cnf(refute_0_196,plain,
    double_divide(double_divide(X_8,double_divide(double_divide(identity,X_10),inverse(inverse(X_8)))),inverse(identity)) = X_10,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,inverse(X_8)),X_10),inverse(inverse(X_8)))),inverse(identity)),X_10) )],[refute_0_190,refute_0_195]) ).

cnf(refute_0_197,plain,
    double_divide(double_divide(double_divide(X,identity),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))),inverse(identity)) = X_15,
    inference(subst,[],[refute_0_196:[bind(X_10,$fot(X_15)),bind(X_8,$fot(double_divide(X,identity)))]]) ).

cnf(refute_0_198,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))),inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))
    | double_divide(double_divide(double_divide(X,identity),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))),inverse(identity)) != X_15
    | double_divide(double_divide(X,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))),inverse(identity))),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))) ),[0,0,1],$fot(X_15)]]) ).

cnf(refute_0_199,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))),inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))
    | double_divide(double_divide(X,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,identity),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))),inverse(identity)),X_15) )],[refute_0_197,refute_0_198]) ).

cnf(refute_0_200,plain,
    double_divide(double_divide(X,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))),inverse(identity))),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))) )],[refute_0_189,refute_0_199]) ).

cnf(refute_0_201,plain,
    multiply(identity,X) = inverse(inverse(X)),
    inference(subst,[],[refute_0_26:[bind(X_3,$fot(X))]]) ).

cnf(refute_0_202,plain,
    inverse(double_divide(X,identity)) = multiply(identity,X),
    inference(subst,[],[refute_0_67:[bind(X,$fot(identity)),bind(Y,$fot(X))]]) ).

cnf(refute_0_203,plain,
    ( multiply(identity,X) != inverse(inverse(X))
    | inverse(double_divide(X,identity)) != multiply(identity,X)
    | inverse(double_divide(X,identity)) = inverse(inverse(X)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(inverse(double_divide(X,identity)))),bind(Y0,$fot(multiply(identity,X))),bind(Z0,$fot(inverse(inverse(X))))]]) ).

cnf(refute_0_204,plain,
    ( multiply(identity,X) != inverse(inverse(X))
    | inverse(double_divide(X,identity)) = inverse(inverse(X)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X,identity)),multiply(identity,X)) )],[refute_0_202,refute_0_203]) ).

cnf(refute_0_205,plain,
    inverse(double_divide(X,identity)) = inverse(inverse(X)),
    inference(resolve,[$cnf( $equal(multiply(identity,X),inverse(inverse(X))) )],[refute_0_201,refute_0_204]) ).

cnf(refute_0_206,plain,
    inverse(inverse(double_divide(X,identity))) = inverse(inverse(double_divide(X,identity))),
    introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(X,identity))))]]) ).

cnf(refute_0_207,plain,
    ( inverse(double_divide(X,identity)) != inverse(inverse(X))
    | inverse(inverse(double_divide(X,identity))) != inverse(inverse(double_divide(X,identity)))
    | inverse(inverse(double_divide(X,identity))) = inverse(inverse(inverse(X))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(X,identity))),inverse(inverse(double_divide(X,identity)))) ),[1,0],$fot(inverse(inverse(X)))]]) ).

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

cnf(refute_0_209,plain,
    inverse(inverse(double_divide(X,identity))) = inverse(inverse(inverse(X))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X,identity)),inverse(inverse(X))) )],[refute_0_205,refute_0_208]) ).

cnf(refute_0_210,plain,
    double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))) = double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))))]]) ).

cnf(refute_0_211,plain,
    ( double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))) != double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))
    | inverse(inverse(double_divide(X,identity))) != inverse(inverse(inverse(X)))
    | double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))) = double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))) ),[1,1],$fot(inverse(inverse(inverse(X))))]]) ).

cnf(refute_0_212,plain,
    ( inverse(inverse(double_divide(X,identity))) != inverse(inverse(inverse(X)))
    | double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))) = double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))) )],[refute_0_210,refute_0_211]) ).

cnf(refute_0_213,plain,
    double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity)))) = double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X,identity))),inverse(inverse(inverse(X)))) )],[refute_0_209,refute_0_212]) ).

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

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

cnf(refute_0_216,plain,
    double_divide(double_divide(X,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(inverse(double_divide(X,identity))))) )],[refute_0_200,refute_0_215]) ).

cnf(refute_0_217,plain,
    inverse(double_divide(X,X_15)) = multiply(X_15,X),
    inference(subst,[],[refute_0_67:[bind(X,$fot(X_15)),bind(Y,$fot(X))]]) ).

cnf(refute_0_218,plain,
    double_divide(double_divide(X,X_15),identity) = inverse(double_divide(X,X_15)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X,X_15)))]]) ).

cnf(refute_0_219,plain,
    ( double_divide(double_divide(X,X_15),identity) != inverse(double_divide(X,X_15))
    | inverse(double_divide(X,X_15)) != multiply(X_15,X)
    | double_divide(double_divide(X,X_15),identity) = multiply(X_15,X) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(X,X_15),identity))),bind(Y0,$fot(inverse(double_divide(X,X_15)))),bind(Z0,$fot(multiply(X_15,X)))]]) ).

cnf(refute_0_220,plain,
    ( inverse(double_divide(X,X_15)) != multiply(X_15,X)
    | double_divide(double_divide(X,X_15),identity) = multiply(X_15,X) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_15),identity),inverse(double_divide(X,X_15))) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    double_divide(double_divide(X,X_15),identity) = multiply(X_15,X),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X,X_15)),multiply(X_15,X)) )],[refute_0_217,refute_0_220]) ).

cnf(refute_0_222,plain,
    double_divide(double_divide(X,X_15),inverse(identity)) = double_divide(double_divide(X,X_15),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,X_15),inverse(identity)))]]) ).

cnf(refute_0_223,plain,
    ( double_divide(double_divide(X,X_15),inverse(identity)) != double_divide(double_divide(X,X_15),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X,X_15),inverse(identity)) = double_divide(double_divide(X,X_15),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,X_15),inverse(identity)),double_divide(double_divide(X,X_15),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_224,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X,X_15),inverse(identity)) = double_divide(double_divide(X,X_15),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_15),inverse(identity)),double_divide(double_divide(X,X_15),inverse(identity))) )],[refute_0_222,refute_0_223]) ).

cnf(refute_0_225,plain,
    double_divide(double_divide(X,X_15),inverse(identity)) = double_divide(double_divide(X,X_15),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_147,refute_0_224]) ).

cnf(refute_0_226,plain,
    ( double_divide(double_divide(X,X_15),identity) != multiply(X_15,X)
    | double_divide(double_divide(X,X_15),inverse(identity)) != double_divide(double_divide(X,X_15),identity)
    | double_divide(double_divide(X,X_15),inverse(identity)) = multiply(X_15,X) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(X,X_15),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X,X_15),identity))),bind(Z0,$fot(multiply(X_15,X)))]]) ).

cnf(refute_0_227,plain,
    ( double_divide(double_divide(X,X_15),identity) != multiply(X_15,X)
    | double_divide(double_divide(X,X_15),inverse(identity)) = multiply(X_15,X) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_15),inverse(identity)),double_divide(double_divide(X,X_15),identity)) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    double_divide(double_divide(X,X_15),inverse(identity)) = multiply(X_15,X),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_15),identity),multiply(X_15,X)) )],[refute_0_221,refute_0_227]) ).

cnf(refute_0_229,plain,
    ( double_divide(double_divide(X,X_15),inverse(identity)) != multiply(X_15,X)
    | double_divide(double_divide(X,X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X))))
    | multiply(X_15,X) = double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X))))) ),[0],$fot(multiply(X_15,X))]]) ).

cnf(refute_0_230,plain,
    ( double_divide(double_divide(X,X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X))))
    | multiply(X_15,X) = double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_15),inverse(identity)),multiply(X_15,X)) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    multiply(X_15,X) = double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X))))) )],[refute_0_216,refute_0_230]) ).

cnf(refute_0_232,plain,
    ( multiply(X_15,X) != double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X))))
    | double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))) = multiply(X_15,X) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_15,X))),bind(Y0,$fot(double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X))))))]]) ).

cnf(refute_0_233,plain,
    double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X)))) = multiply(X_15,X),
    inference(resolve,[$cnf( $equal(multiply(X_15,X),double_divide(double_divide(identity,X_15),inverse(inverse(inverse(X))))) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29)))) = multiply(X_27,X_29),
    inference(subst,[],[refute_0_233:[bind(X,$fot(X_29)),bind(X_15,$fot(X_27))]]) ).

cnf(refute_0_235,plain,
    multiply(identity,X_29) = inverse(inverse(X_29)),
    inference(subst,[],[refute_0_26:[bind(X_3,$fot(X_29))]]) ).

cnf(refute_0_236,plain,
    inverse(multiply(identity,X_29)) = inverse(multiply(identity,X_29)),
    introduced(tautology,[refl,[$fot(inverse(multiply(identity,X_29)))]]) ).

cnf(refute_0_237,plain,
    ( multiply(identity,X_29) != inverse(inverse(X_29))
    | inverse(multiply(identity,X_29)) != inverse(multiply(identity,X_29))
    | inverse(multiply(identity,X_29)) = inverse(inverse(inverse(X_29))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,X_29)),inverse(multiply(identity,X_29))) ),[1,0],$fot(inverse(inverse(X_29)))]]) ).

cnf(refute_0_238,plain,
    ( multiply(identity,X_29) != inverse(inverse(X_29))
    | inverse(multiply(identity,X_29)) = inverse(inverse(inverse(X_29))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_29)),inverse(multiply(identity,X_29))) )],[refute_0_236,refute_0_237]) ).

cnf(refute_0_239,plain,
    inverse(multiply(identity,X_29)) = inverse(inverse(inverse(X_29))),
    inference(resolve,[$cnf( $equal(multiply(identity,X_29),inverse(inverse(X_29))) )],[refute_0_235,refute_0_238]) ).

cnf(refute_0_240,plain,
    double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) = double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))))]]) ).

cnf(refute_0_241,plain,
    ( double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) != double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29)))
    | inverse(multiply(identity,X_29)) != inverse(inverse(inverse(X_29)))
    | double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) = double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29)))) ),[1,1],$fot(inverse(inverse(inverse(X_29))))]]) ).

cnf(refute_0_242,plain,
    ( inverse(multiply(identity,X_29)) != inverse(inverse(inverse(X_29)))
    | double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) = double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29)))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) = double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29)))),
    inference(resolve,[$cnf( $equal(inverse(multiply(identity,X_29)),inverse(inverse(inverse(X_29)))) )],[refute_0_239,refute_0_242]) ).

cnf(refute_0_244,plain,
    ( double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) != double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29))))
    | double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29)))) != multiply(X_27,X_29)
    | double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) = multiply(X_27,X_29) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))))),bind(Y0,$fot(double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29)))))),bind(Z0,$fot(multiply(X_27,X_29)))]]) ).

cnf(refute_0_245,plain,
    ( double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29)))) != multiply(X_27,X_29)
    | double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) = multiply(X_27,X_29) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29))))) )],[refute_0_243,refute_0_244]) ).

cnf(refute_0_246,plain,
    double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) = multiply(X_27,X_29),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_27),inverse(inverse(inverse(X_29)))),multiply(X_27,X_29)) )],[refute_0_234,refute_0_245]) ).

cnf(refute_0_247,plain,
    multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) = multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)))]]) ).

cnf(refute_0_248,plain,
    ( multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) != multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29))
    | double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) != multiply(X_27,X_29)
    | multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) = multiply(multiply(X_27,X_29),inverse(X_29)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)),multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29))) ),[1,0],$fot(multiply(X_27,X_29))]]) ).

cnf(refute_0_249,plain,
    ( double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))) != multiply(X_27,X_29)
    | multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) = multiply(multiply(X_27,X_29),inverse(X_29)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)),multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29))) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) = multiply(multiply(X_27,X_29),inverse(X_29)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),multiply(X_27,X_29)) )],[refute_0_246,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) != X_27
    | multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) != multiply(multiply(X_27,X_29),inverse(X_29))
    | multiply(multiply(X_27,X_29),inverse(X_29)) = X_27 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)),X_27) ),[0],$fot(multiply(multiply(X_27,X_29),inverse(X_29)))]]) ).

cnf(refute_0_252,plain,
    ( multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)) != X_27
    | multiply(multiply(X_27,X_29),inverse(X_29)) = X_27 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)),multiply(multiply(X_27,X_29),inverse(X_29))) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    multiply(multiply(X_27,X_29),inverse(X_29)) = X_27,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_27),inverse(multiply(identity,X_29))),inverse(X_29)),X_27) )],[refute_0_188,refute_0_252]) ).

cnf(refute_0_254,plain,
    multiply(multiply(inverse(X_31),X_31),inverse(X_31)) = inverse(X_31),
    inference(subst,[],[refute_0_253:[bind(X_27,$fot(inverse(X_31))),bind(X_29,$fot(X_31))]]) ).

cnf(refute_0_255,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_256,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_147,refute_0_255]) ).

cnf(refute_0_257,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_256]) ).

cnf(refute_0_258,plain,
    multiply(inverse(X_31),X_31) = identity,
    inference(subst,[],[refute_0_257:[bind(X_3,$fot(X_31))]]) ).

cnf(refute_0_259,plain,
    ( multiply(multiply(inverse(X_31),X_31),inverse(X_31)) != inverse(X_31)
    | multiply(inverse(X_31),X_31) != identity
    | multiply(identity,inverse(X_31)) = inverse(X_31) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_31),X_31),inverse(X_31)),inverse(X_31)) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_260,plain,
    ( multiply(multiply(inverse(X_31),X_31),inverse(X_31)) != inverse(X_31)
    | multiply(identity,inverse(X_31)) = inverse(X_31) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_31),X_31),identity) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    multiply(identity,inverse(X_31)) = inverse(X_31),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_31),X_31),inverse(X_31)),inverse(X_31)) )],[refute_0_254,refute_0_260]) ).

cnf(refute_0_262,plain,
    multiply(identity,inverse(X_31)) = inverse(inverse(inverse(X_31))),
    inference(subst,[],[refute_0_26:[bind(X_3,$fot(inverse(X_31)))]]) ).

cnf(refute_0_263,plain,
    ( multiply(identity,inverse(X_31)) != inverse(X_31)
    | multiply(identity,inverse(X_31)) != inverse(inverse(inverse(X_31)))
    | inverse(inverse(inverse(X_31))) = inverse(X_31) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,inverse(X_31)),inverse(X_31)) ),[0],$fot(inverse(inverse(inverse(X_31))))]]) ).

cnf(refute_0_264,plain,
    ( multiply(identity,inverse(X_31)) != inverse(X_31)
    | inverse(inverse(inverse(X_31))) = inverse(X_31) ),
    inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_31)),inverse(inverse(inverse(X_31)))) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    inverse(inverse(inverse(X_31))) = inverse(X_31),
    inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_31)),inverse(X_31)) )],[refute_0_261,refute_0_264]) ).

cnf(refute_0_266,plain,
    inverse(inverse(inverse(double_divide(Y,X)))) = inverse(double_divide(Y,X)),
    inference(subst,[],[refute_0_265:[bind(X_31,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_267,plain,
    ( inverse(double_divide(Y,X)) != multiply(X,Y)
    | inverse(inverse(inverse(double_divide(Y,X)))) != inverse(double_divide(Y,X))
    | inverse(inverse(multiply(X,Y))) = inverse(double_divide(Y,X)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(double_divide(Y,X)))),inverse(double_divide(Y,X))) ),[0,0,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_268,plain,
    ( inverse(inverse(inverse(double_divide(Y,X)))) != inverse(double_divide(Y,X))
    | inverse(inverse(multiply(X,Y))) = inverse(double_divide(Y,X)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_67,refute_0_267]) ).

cnf(refute_0_269,plain,
    inverse(inverse(multiply(X,Y))) = inverse(double_divide(Y,X)),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(double_divide(Y,X)))),inverse(double_divide(Y,X))) )],[refute_0_266,refute_0_268]) ).

cnf(refute_0_270,plain,
    ( inverse(double_divide(Y,X)) != multiply(X,Y)
    | inverse(inverse(multiply(X,Y))) != inverse(double_divide(Y,X))
    | inverse(inverse(multiply(X,Y))) = multiply(X,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X,Y))),inverse(double_divide(Y,X))) ),[1],$fot(multiply(X,Y))]]) ).

cnf(refute_0_271,plain,
    ( inverse(inverse(multiply(X,Y))) != inverse(double_divide(Y,X))
    | inverse(inverse(multiply(X,Y))) = multiply(X,Y) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_67,refute_0_270]) ).

cnf(refute_0_272,plain,
    inverse(inverse(multiply(X,Y))) = multiply(X,Y),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X,Y))),inverse(double_divide(Y,X))) )],[refute_0_269,refute_0_271]) ).

cnf(refute_0_273,plain,
    inverse(inverse(multiply(multiply(X_27,X_29),inverse(X_29)))) = multiply(multiply(X_27,X_29),inverse(X_29)),
    inference(subst,[],[refute_0_272:[bind(X,$fot(multiply(X_27,X_29))),bind(Y,$fot(inverse(X_29)))]]) ).

cnf(refute_0_274,plain,
    ( multiply(multiply(X_27,X_29),inverse(X_29)) != X_27
    | inverse(inverse(multiply(multiply(X_27,X_29),inverse(X_29)))) != multiply(multiply(X_27,X_29),inverse(X_29))
    | inverse(inverse(X_27)) = multiply(multiply(X_27,X_29),inverse(X_29)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(multiply(X_27,X_29),inverse(X_29)))),multiply(multiply(X_27,X_29),inverse(X_29))) ),[0,0,0],$fot(X_27)]]) ).

cnf(refute_0_275,plain,
    ( inverse(inverse(multiply(multiply(X_27,X_29),inverse(X_29)))) != multiply(multiply(X_27,X_29),inverse(X_29))
    | inverse(inverse(X_27)) = multiply(multiply(X_27,X_29),inverse(X_29)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_27,X_29),inverse(X_29)),X_27) )],[refute_0_253,refute_0_274]) ).

cnf(refute_0_276,plain,
    inverse(inverse(X_27)) = multiply(multiply(X_27,X_29),inverse(X_29)),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X_27,X_29),inverse(X_29)))),multiply(multiply(X_27,X_29),inverse(X_29))) )],[refute_0_273,refute_0_275]) ).

cnf(refute_0_277,plain,
    ( multiply(multiply(X_27,X_29),inverse(X_29)) != X_27
    | inverse(inverse(X_27)) != multiply(multiply(X_27,X_29),inverse(X_29))
    | inverse(inverse(X_27)) = X_27 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_27)),multiply(multiply(X_27,X_29),inverse(X_29))) ),[1],$fot(X_27)]]) ).

cnf(refute_0_278,plain,
    ( inverse(inverse(X_27)) != multiply(multiply(X_27,X_29),inverse(X_29))
    | inverse(inverse(X_27)) = X_27 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_27,X_29),inverse(X_29)),X_27) )],[refute_0_253,refute_0_277]) ).

cnf(refute_0_279,plain,
    inverse(inverse(X_27)) = X_27,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),multiply(multiply(X_27,X_29),inverse(X_29))) )],[refute_0_276,refute_0_278]) ).

cnf(refute_0_280,plain,
    inverse(inverse(a2)) = a2,
    inference(subst,[],[refute_0_279:[bind(X_27,$fot(a2))]]) ).

cnf(refute_0_281,plain,
    ( a2 != a2
    | inverse(inverse(a2)) != a2
    | inverse(inverse(a2)) = a2 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(a2)),a2) ),[0,0,0],$fot(a2)]]) ).

cnf(refute_0_282,plain,
    ( a2 != a2
    | inverse(inverse(a2)) = a2 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_280,refute_0_281]) ).

cnf(refute_0_283,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != a2 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_282,refute_0_152]) ).

cnf(refute_0_284,plain,
    multiply(X,multiply(X_85,X_87)) = inverse(double_divide(multiply(X_85,X_87),X)),
    inference(subst,[],[refute_0_8:[bind(Y,$fot(multiply(X_85,X_87)))]]) ).

cnf(refute_0_285,plain,
    inverse(inverse(double_divide(Y,X))) = double_divide(Y,X),
    inference(subst,[],[refute_0_279:[bind(X_27,$fot(double_divide(Y,X)))]]) ).

cnf(refute_0_286,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_287,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_67,refute_0_286]) ).

cnf(refute_0_288,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_285,refute_0_287]) ).

cnf(refute_0_289,plain,
    inverse(multiply(multiply(X_27,X_29),inverse(X_29))) = double_divide(inverse(X_29),multiply(X_27,X_29)),
    inference(subst,[],[refute_0_288:[bind(X,$fot(multiply(X_27,X_29))),bind(Y,$fot(inverse(X_29)))]]) ).

cnf(refute_0_290,plain,
    ( multiply(multiply(X_27,X_29),inverse(X_29)) != X_27
    | inverse(multiply(multiply(X_27,X_29),inverse(X_29))) != double_divide(inverse(X_29),multiply(X_27,X_29))
    | inverse(X_27) = double_divide(inverse(X_29),multiply(X_27,X_29)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_27,X_29),inverse(X_29))),double_divide(inverse(X_29),multiply(X_27,X_29))) ),[0,0],$fot(X_27)]]) ).

cnf(refute_0_291,plain,
    ( inverse(multiply(multiply(X_27,X_29),inverse(X_29))) != double_divide(inverse(X_29),multiply(X_27,X_29))
    | inverse(X_27) = double_divide(inverse(X_29),multiply(X_27,X_29)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_27,X_29),inverse(X_29)),X_27) )],[refute_0_253,refute_0_290]) ).

cnf(refute_0_292,plain,
    inverse(X_27) = double_divide(inverse(X_29),multiply(X_27,X_29)),
    inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_27,X_29),inverse(X_29))),double_divide(inverse(X_29),multiply(X_27,X_29))) )],[refute_0_289,refute_0_291]) ).

cnf(refute_0_293,plain,
    inverse(multiply(X_27,X_29)) = double_divide(X_29,X_27),
    inference(subst,[],[refute_0_288:[bind(X,$fot(X_27)),bind(Y,$fot(X_29))]]) ).

cnf(refute_0_294,plain,
    multiply(X_29,inverse(multiply(X_27,X_29))) = multiply(X_29,inverse(multiply(X_27,X_29))),
    introduced(tautology,[refl,[$fot(multiply(X_29,inverse(multiply(X_27,X_29))))]]) ).

cnf(refute_0_295,plain,
    ( multiply(X_29,inverse(multiply(X_27,X_29))) != multiply(X_29,inverse(multiply(X_27,X_29)))
    | inverse(multiply(X_27,X_29)) != double_divide(X_29,X_27)
    | multiply(X_29,inverse(multiply(X_27,X_29))) = multiply(X_29,double_divide(X_29,X_27)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,inverse(multiply(X_27,X_29))),multiply(X_29,inverse(multiply(X_27,X_29)))) ),[1,1],$fot(double_divide(X_29,X_27))]]) ).

cnf(refute_0_296,plain,
    ( inverse(multiply(X_27,X_29)) != double_divide(X_29,X_27)
    | multiply(X_29,inverse(multiply(X_27,X_29))) = multiply(X_29,double_divide(X_29,X_27)) ),
    inference(resolve,[$cnf( $equal(multiply(X_29,inverse(multiply(X_27,X_29))),multiply(X_29,inverse(multiply(X_27,X_29)))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    multiply(X_29,inverse(multiply(X_27,X_29))) = multiply(X_29,double_divide(X_29,X_27)),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_27,X_29)),double_divide(X_29,X_27)) )],[refute_0_293,refute_0_296]) ).

cnf(refute_0_298,plain,
    inverse(double_divide(inverse(X_55),X_29)) = double_divide(inverse(X_29),multiply(double_divide(inverse(X_55),X_29),X_29)),
    inference(subst,[],[refute_0_292:[bind(X_27,$fot(double_divide(inverse(X_55),X_29)))]]) ).

cnf(refute_0_299,plain,
    multiply(double_divide(inverse(X_52),Y),Y) = inverse(double_divide(Y,double_divide(inverse(X_52),Y))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(double_divide(inverse(X_52),Y)))]]) ).

cnf(refute_0_300,plain,
    multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = inverse(double_divide(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),inverse(identity))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))))]]) ).

cnf(refute_0_301,plain,
    double_divide(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),inverse(identity)) = X_15,
    inference(subst,[],[refute_0_196:[bind(X_10,$fot(X_15)),bind(X_8,$fot(X_16))]]) ).

cnf(refute_0_302,plain,
    ( multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != inverse(double_divide(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),inverse(identity)))
    | double_divide(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),inverse(identity)) != X_15
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = inverse(X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),inverse(double_divide(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),inverse(identity)))) ),[1,0],$fot(X_15)]]) ).

cnf(refute_0_303,plain,
    ( multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != inverse(double_divide(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),inverse(identity)))
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = inverse(X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),inverse(identity)),X_15) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = inverse(X_15),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),inverse(double_divide(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),inverse(identity)))) )],[refute_0_300,refute_0_303]) ).

cnf(refute_0_305,plain,
    inverse(inverse(X_3)) = X_3,
    inference(subst,[],[refute_0_279:[bind(X_27,$fot(X_3))]]) ).

cnf(refute_0_306,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_307,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_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    multiply(identity,X_3) = X_3,
    inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_26,refute_0_307]) ).

cnf(refute_0_309,plain,
    multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))) = double_divide(X_16,double_divide(inverse(X_15),X_16)),
    inference(subst,[],[refute_0_308:[bind(X_3,$fot(double_divide(X_16,double_divide(inverse(X_15),X_16))))]]) ).

cnf(refute_0_310,plain,
    inverse(inverse(X_16)) = X_16,
    inference(subst,[],[refute_0_279:[bind(X_27,$fot(X_16))]]) ).

cnf(refute_0_311,plain,
    double_divide(inverse(X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),inverse(inverse(X_16))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_15),inverse(inverse(X_16))))]]) ).

cnf(refute_0_312,plain,
    ( double_divide(inverse(X_15),inverse(inverse(X_16))) != double_divide(inverse(X_15),inverse(inverse(X_16)))
    | inverse(inverse(X_16)) != X_16
    | double_divide(inverse(X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_15),inverse(inverse(X_16))),double_divide(inverse(X_15),inverse(inverse(X_16)))) ),[1,1],$fot(X_16)]]) ).

cnf(refute_0_313,plain,
    ( inverse(inverse(X_16)) != X_16
    | double_divide(inverse(X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),X_16) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),inverse(inverse(X_16))),double_divide(inverse(X_15),inverse(inverse(X_16)))) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    double_divide(inverse(X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),X_16),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_310,refute_0_313]) ).

cnf(refute_0_315,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)) = double_divide(identity,inverse(X_14)),
    inference(subst,[],[refute_0_57:[bind(Y,$fot(identity)),bind(Z,$fot(double_divide(identity,inverse(X_14))))]]) ).

cnf(refute_0_316,plain,
    double_divide(double_divide(double_divide(X,identity),double_divide(identity,inverse(X_14))),inverse(identity)) = multiply(X_14,double_divide(X,identity)),
    inference(subst,[],[refute_0_97:[bind(X_8,$fot(double_divide(X,identity))),bind(X_9,$fot(X_14))]]) ).

cnf(refute_0_317,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(X_14))
    | double_divide(double_divide(double_divide(X,identity),double_divide(identity,inverse(X_14))),inverse(identity)) != multiply(X_14,double_divide(X,identity))
    | double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) = double_divide(identity,inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)),double_divide(identity,inverse(X_14))) ),[0,0,1],$fot(multiply(X_14,double_divide(X,identity)))]]) ).

cnf(refute_0_318,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(X_14))
    | double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) = double_divide(identity,inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,identity),double_divide(identity,inverse(X_14))),inverse(identity)),multiply(X_14,double_divide(X,identity))) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) = double_divide(identity,inverse(X_14)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,identity),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)),double_divide(identity,inverse(X_14))) )],[refute_0_315,refute_0_318]) ).

cnf(refute_0_320,plain,
    multiply(X_14,double_divide(X,identity)) = multiply(X_14,double_divide(X,identity)),
    introduced(tautology,[refl,[$fot(multiply(X_14,double_divide(X,identity)))]]) ).

cnf(refute_0_321,plain,
    ( multiply(X_14,double_divide(X,identity)) != multiply(X_14,double_divide(X,identity))
    | double_divide(X,identity) != inverse(X)
    | multiply(X_14,double_divide(X,identity)) = multiply(X_14,inverse(X)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,double_divide(X,identity)),multiply(X_14,double_divide(X,identity))) ),[1,1],$fot(inverse(X))]]) ).

cnf(refute_0_322,plain,
    ( double_divide(X,identity) != inverse(X)
    | multiply(X_14,double_divide(X,identity)) = multiply(X_14,inverse(X)) ),
    inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(X,identity)),multiply(X_14,double_divide(X,identity))) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    multiply(X_14,double_divide(X,identity)) = multiply(X_14,inverse(X)),
    inference(resolve,[$cnf( $equal(double_divide(X,identity),inverse(X)) )],[refute_0_4,refute_0_322]) ).

cnf(refute_0_324,plain,
    double_divide(X,multiply(X_14,double_divide(X,identity))) = double_divide(X,multiply(X_14,double_divide(X,identity))),
    introduced(tautology,[refl,[$fot(double_divide(X,multiply(X_14,double_divide(X,identity))))]]) ).

cnf(refute_0_325,plain,
    ( multiply(X_14,double_divide(X,identity)) != multiply(X_14,inverse(X))
    | double_divide(X,multiply(X_14,double_divide(X,identity))) != double_divide(X,multiply(X_14,double_divide(X,identity)))
    | double_divide(X,multiply(X_14,double_divide(X,identity))) = double_divide(X,multiply(X_14,inverse(X))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(X_14,double_divide(X,identity))),double_divide(X,multiply(X_14,double_divide(X,identity)))) ),[1,1],$fot(multiply(X_14,inverse(X)))]]) ).

cnf(refute_0_326,plain,
    ( multiply(X_14,double_divide(X,identity)) != multiply(X_14,inverse(X))
    | double_divide(X,multiply(X_14,double_divide(X,identity))) = double_divide(X,multiply(X_14,inverse(X))) ),
    inference(resolve,[$cnf( $equal(double_divide(X,multiply(X_14,double_divide(X,identity))),double_divide(X,multiply(X_14,double_divide(X,identity)))) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    double_divide(X,multiply(X_14,double_divide(X,identity))) = double_divide(X,multiply(X_14,inverse(X))),
    inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(X,identity)),multiply(X_14,inverse(X))) )],[refute_0_323,refute_0_326]) ).

cnf(refute_0_328,plain,
    double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) = double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)))]]) ).

cnf(refute_0_329,plain,
    ( double_divide(X,multiply(X_14,double_divide(X,identity))) != double_divide(X,multiply(X_14,inverse(X)))
    | double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) != double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity))
    | double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) = double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)),double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity))) ),[1,0],$fot(double_divide(X,multiply(X_14,inverse(X))))]]) ).

cnf(refute_0_330,plain,
    ( double_divide(X,multiply(X_14,double_divide(X,identity))) != double_divide(X,multiply(X_14,inverse(X)))
    | double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) = double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)),double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity))) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) = double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X,multiply(X_14,double_divide(X,identity))),double_divide(X,multiply(X_14,inverse(X)))) )],[refute_0_327,refute_0_330]) ).

cnf(refute_0_332,plain,
    ( double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) != double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity))
    | double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) != double_divide(identity,inverse(X_14))
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = double_divide(identity,inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)),double_divide(identity,inverse(X_14))) ),[0],$fot(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)))]]) ).

cnf(refute_0_333,plain,
    ( double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)) != double_divide(identity,inverse(X_14))
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = double_divide(identity,inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)),double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity))) )],[refute_0_331,refute_0_332]) ).

cnf(refute_0_334,plain,
    double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = double_divide(identity,inverse(X_14)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,double_divide(X,identity))),inverse(identity)),double_divide(identity,inverse(X_14))) )],[refute_0_319,refute_0_333]) ).

cnf(refute_0_335,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(inverse(identity)))),inverse(identity)) = Z,
    inference(subst,[],[refute_0_57:[bind(Y,$fot(inverse(identity)))]]) ).

cnf(refute_0_336,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(inverse(identity)))),inverse(identity)) != Z
    | inverse(inverse(identity)) != inverse(identity)
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = Z ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(inverse(identity)))),inverse(identity)),Z) ),[0,0,1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_337,plain,
    ( double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(inverse(identity)))),inverse(identity)) != Z
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = Z ),
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_116,refute_0_336]) ).

cnf(refute_0_338,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = Z,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(inverse(identity)))),inverse(identity)),Z) )],[refute_0_335,refute_0_337]) ).

cnf(refute_0_339,plain,
    inverse(double_divide(X,multiply(Z,inverse(X)))) = multiply(multiply(Z,inverse(X)),X),
    inference(subst,[],[refute_0_67:[bind(X,$fot(multiply(Z,inverse(X)))),bind(Y,$fot(X))]]) ).

cnf(refute_0_340,plain,
    double_divide(double_divide(X,multiply(Z,inverse(X))),identity) = inverse(double_divide(X,multiply(Z,inverse(X)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X,multiply(Z,inverse(X)))))]]) ).

cnf(refute_0_341,plain,
    ( double_divide(double_divide(X,multiply(Z,inverse(X))),identity) != inverse(double_divide(X,multiply(Z,inverse(X))))
    | inverse(double_divide(X,multiply(Z,inverse(X)))) != multiply(multiply(Z,inverse(X)),X)
    | double_divide(double_divide(X,multiply(Z,inverse(X))),identity) = multiply(multiply(Z,inverse(X)),X) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(X,multiply(Z,inverse(X))),identity))),bind(Y0,$fot(inverse(double_divide(X,multiply(Z,inverse(X)))))),bind(Z0,$fot(multiply(multiply(Z,inverse(X)),X)))]]) ).

cnf(refute_0_342,plain,
    ( inverse(double_divide(X,multiply(Z,inverse(X)))) != multiply(multiply(Z,inverse(X)),X)
    | double_divide(double_divide(X,multiply(Z,inverse(X))),identity) = multiply(multiply(Z,inverse(X)),X) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(Z,inverse(X))),identity),inverse(double_divide(X,multiply(Z,inverse(X))))) )],[refute_0_340,refute_0_341]) ).

cnf(refute_0_343,plain,
    double_divide(double_divide(X,multiply(Z,inverse(X))),identity) = multiply(multiply(Z,inverse(X)),X),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X,multiply(Z,inverse(X)))),multiply(multiply(Z,inverse(X)),X)) )],[refute_0_339,refute_0_342]) ).

cnf(refute_0_344,plain,
    double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)) = double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)))]]) ).

cnf(refute_0_345,plain,
    ( double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)) != double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)) = double_divide(double_divide(X,multiply(Z,inverse(X))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)),double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_346,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)) = double_divide(double_divide(X,multiply(Z,inverse(X))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)),double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity))) )],[refute_0_344,refute_0_345]) ).

cnf(refute_0_347,plain,
    double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)) = double_divide(double_divide(X,multiply(Z,inverse(X))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_147,refute_0_346]) ).

cnf(refute_0_348,plain,
    inverse(double_divide(inverse(X),Z)) = multiply(Z,inverse(X)),
    inference(subst,[],[refute_0_67:[bind(X,$fot(Z)),bind(Y,$fot(inverse(X)))]]) ).

cnf(refute_0_349,plain,
    double_divide(double_divide(inverse(X),Z),identity) = inverse(double_divide(inverse(X),Z)),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(inverse(X),Z)))]]) ).

cnf(refute_0_350,plain,
    ( double_divide(double_divide(inverse(X),Z),identity) != inverse(double_divide(inverse(X),Z))
    | inverse(double_divide(inverse(X),Z)) != multiply(Z,inverse(X))
    | double_divide(double_divide(inverse(X),Z),identity) = multiply(Z,inverse(X)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(inverse(X),Z),identity))),bind(Y0,$fot(inverse(double_divide(inverse(X),Z)))),bind(Z0,$fot(multiply(Z,inverse(X))))]]) ).

cnf(refute_0_351,plain,
    ( inverse(double_divide(inverse(X),Z)) != multiply(Z,inverse(X))
    | double_divide(double_divide(inverse(X),Z),identity) = multiply(Z,inverse(X)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X),Z),identity),inverse(double_divide(inverse(X),Z))) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    double_divide(double_divide(inverse(X),Z),identity) = multiply(Z,inverse(X)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X),Z)),multiply(Z,inverse(X))) )],[refute_0_348,refute_0_351]) ).

cnf(refute_0_353,plain,
    double_divide(double_divide(inverse(X),Z),inverse(identity)) = double_divide(double_divide(inverse(X),Z),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X),Z),inverse(identity)))]]) ).

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

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

cnf(refute_0_356,plain,
    double_divide(double_divide(inverse(X),Z),inverse(identity)) = double_divide(double_divide(inverse(X),Z),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_147,refute_0_355]) ).

cnf(refute_0_357,plain,
    double_divide(X,inverse(identity)) = double_divide(X,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X,inverse(identity)))]]) ).

cnf(refute_0_358,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_359,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_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    double_divide(X,inverse(identity)) = double_divide(X,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_147,refute_0_359]) ).

cnf(refute_0_361,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_51:[bind(X0,$fot(double_divide(X,inverse(identity)))),bind(Y0,$fot(double_divide(X,identity))),bind(Z0,$fot(inverse(X)))]]) ).

cnf(refute_0_362,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_360,refute_0_361]) ).

cnf(refute_0_363,plain,
    double_divide(X,inverse(identity)) = inverse(X),
    inference(resolve,[$cnf( $equal(double_divide(X,identity),inverse(X)) )],[refute_0_4,refute_0_362]) ).

cnf(refute_0_364,plain,
    double_divide(double_divide(X,inverse(identity)),Z) = double_divide(double_divide(X,inverse(identity)),Z),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,inverse(identity)),Z))]]) ).

cnf(refute_0_365,plain,
    ( double_divide(X,inverse(identity)) != inverse(X)
    | double_divide(double_divide(X,inverse(identity)),Z) != double_divide(double_divide(X,inverse(identity)),Z)
    | double_divide(double_divide(X,inverse(identity)),Z) = double_divide(inverse(X),Z) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,inverse(identity)),Z),double_divide(double_divide(X,inverse(identity)),Z)) ),[1,0],$fot(inverse(X))]]) ).

cnf(refute_0_366,plain,
    ( double_divide(X,inverse(identity)) != inverse(X)
    | double_divide(double_divide(X,inverse(identity)),Z) = double_divide(inverse(X),Z) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,inverse(identity)),Z),double_divide(double_divide(X,inverse(identity)),Z)) )],[refute_0_364,refute_0_365]) ).

cnf(refute_0_367,plain,
    double_divide(double_divide(X,inverse(identity)),Z) = double_divide(inverse(X),Z),
    inference(resolve,[$cnf( $equal(double_divide(X,inverse(identity)),inverse(X)) )],[refute_0_363,refute_0_366]) ).

cnf(refute_0_368,plain,
    double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)))]]) ).

cnf(refute_0_369,plain,
    ( double_divide(double_divide(X,inverse(identity)),Z) != double_divide(inverse(X),Z)
    | double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) != double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))
    | double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = double_divide(double_divide(inverse(X),Z),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)),double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X),Z))]]) ).

cnf(refute_0_370,plain,
    ( double_divide(double_divide(X,inverse(identity)),Z) != double_divide(inverse(X),Z)
    | double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = double_divide(double_divide(inverse(X),Z),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)),double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))) )],[refute_0_368,refute_0_369]) ).

cnf(refute_0_371,plain,
    double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = double_divide(double_divide(inverse(X),Z),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,inverse(identity)),Z),double_divide(inverse(X),Z)) )],[refute_0_367,refute_0_370]) ).

cnf(refute_0_372,plain,
    ( double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) != double_divide(double_divide(inverse(X),Z),inverse(identity))
    | double_divide(double_divide(inverse(X),Z),inverse(identity)) != double_divide(double_divide(inverse(X),Z),identity)
    | double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = double_divide(double_divide(inverse(X),Z),identity) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(inverse(X),Z),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(inverse(X),Z),identity)))]]) ).

cnf(refute_0_373,plain,
    ( double_divide(double_divide(inverse(X),Z),inverse(identity)) != double_divide(double_divide(inverse(X),Z),identity)
    | double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = double_divide(double_divide(inverse(X),Z),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)),double_divide(double_divide(inverse(X),Z),inverse(identity))) )],[refute_0_371,refute_0_372]) ).

cnf(refute_0_374,plain,
    double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = double_divide(double_divide(inverse(X),Z),identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X),Z),inverse(identity)),double_divide(double_divide(inverse(X),Z),identity)) )],[refute_0_356,refute_0_373]) ).

cnf(refute_0_375,plain,
    ( double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) != double_divide(double_divide(inverse(X),Z),identity)
    | double_divide(double_divide(inverse(X),Z),identity) != multiply(Z,inverse(X))
    | double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = multiply(Z,inverse(X)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(inverse(X),Z),identity))),bind(Z0,$fot(multiply(Z,inverse(X))))]]) ).

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

cnf(refute_0_377,plain,
    double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) = multiply(Z,inverse(X)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X),Z),identity),multiply(Z,inverse(X))) )],[refute_0_352,refute_0_376]) ).

cnf(refute_0_378,plain,
    double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))) = double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))))]]) ).

cnf(refute_0_379,plain,
    ( double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))) != double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)))
    | double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) != multiply(Z,inverse(X))
    | double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))) = double_divide(X,multiply(Z,inverse(X))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)))) ),[1,1],$fot(multiply(Z,inverse(X)))]]) ).

cnf(refute_0_380,plain,
    ( double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)) != multiply(Z,inverse(X))
    | double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))) = double_divide(X,multiply(Z,inverse(X))) ),
    inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)))) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))) = double_divide(X,multiply(Z,inverse(X))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity)),multiply(Z,inverse(X))) )],[refute_0_377,refute_0_380]) ).

cnf(refute_0_382,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)))]]) ).

cnf(refute_0_383,plain,
    ( double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))) != double_divide(X,multiply(Z,inverse(X)))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(X,multiply(Z,inverse(X))))]]) ).

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

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

cnf(refute_0_386,plain,
    ( double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)) != double_divide(double_divide(X,multiply(Z,inverse(X))),identity)
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) != double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity))
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = double_divide(double_divide(X,multiply(Z,inverse(X))),identity) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(X,multiply(Z,inverse(X))),identity)))]]) ).

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

cnf(refute_0_388,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = double_divide(double_divide(X,multiply(Z,inverse(X))),identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(Z,inverse(X))),inverse(identity)),double_divide(double_divide(X,multiply(Z,inverse(X))),identity)) )],[refute_0_347,refute_0_387]) ).

cnf(refute_0_389,plain,
    ( double_divide(double_divide(X,multiply(Z,inverse(X))),identity) != multiply(multiply(Z,inverse(X)),X)
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) != double_divide(double_divide(X,multiply(Z,inverse(X))),identity)
    | double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = multiply(multiply(Z,inverse(X)),X) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X,multiply(Z,inverse(X))),identity))),bind(Z0,$fot(multiply(multiply(Z,inverse(X)),X)))]]) ).

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

cnf(refute_0_391,plain,
    double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)) = multiply(multiply(Z,inverse(X)),X),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(Z,inverse(X))),identity),multiply(multiply(Z,inverse(X)),X)) )],[refute_0_343,refute_0_390]) ).

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

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

cnf(refute_0_394,plain,
    multiply(multiply(Z,inverse(X)),X) = Z,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(X,inverse(identity)),Z),inverse(identity))),inverse(identity)),Z) )],[refute_0_338,refute_0_393]) ).

cnf(refute_0_395,plain,
    multiply(multiply(X_14,inverse(X)),X) = X_14,
    inference(subst,[],[refute_0_394:[bind(Z,$fot(X_14))]]) ).

cnf(refute_0_396,plain,
    inverse(double_divide(X,multiply(X_14,inverse(X)))) = multiply(multiply(X_14,inverse(X)),X),
    inference(subst,[],[refute_0_67:[bind(X,$fot(multiply(X_14,inverse(X)))),bind(Y,$fot(X))]]) ).

cnf(refute_0_397,plain,
    ( multiply(multiply(X_14,inverse(X)),X) != X_14
    | inverse(double_divide(X,multiply(X_14,inverse(X)))) != multiply(multiply(X_14,inverse(X)),X)
    | inverse(double_divide(X,multiply(X_14,inverse(X)))) = X_14 ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(inverse(double_divide(X,multiply(X_14,inverse(X)))))),bind(Y0,$fot(multiply(multiply(X_14,inverse(X)),X))),bind(Z0,$fot(X_14))]]) ).

cnf(refute_0_398,plain,
    ( multiply(multiply(X_14,inverse(X)),X) != X_14
    | inverse(double_divide(X,multiply(X_14,inverse(X)))) = X_14 ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X,multiply(X_14,inverse(X)))),multiply(multiply(X_14,inverse(X)),X)) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    inverse(double_divide(X,multiply(X_14,inverse(X)))) = X_14,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_14,inverse(X)),X),X_14) )],[refute_0_395,refute_0_398]) ).

cnf(refute_0_400,plain,
    double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) = inverse(double_divide(X,multiply(X_14,inverse(X)))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X,multiply(X_14,inverse(X)))))]]) ).

cnf(refute_0_401,plain,
    ( double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) != inverse(double_divide(X,multiply(X_14,inverse(X))))
    | inverse(double_divide(X,multiply(X_14,inverse(X)))) != X_14
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) = X_14 ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(X,multiply(X_14,inverse(X))),identity))),bind(Y0,$fot(inverse(double_divide(X,multiply(X_14,inverse(X)))))),bind(Z0,$fot(X_14))]]) ).

cnf(refute_0_402,plain,
    ( inverse(double_divide(X,multiply(X_14,inverse(X)))) != X_14
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,inverse(X))),identity),inverse(double_divide(X,multiply(X_14,inverse(X))))) )],[refute_0_400,refute_0_401]) ).

cnf(refute_0_403,plain,
    double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) = X_14,
    inference(resolve,[$cnf( $equal(inverse(double_divide(X,multiply(X_14,inverse(X)))),X_14) )],[refute_0_399,refute_0_402]) ).

cnf(refute_0_404,plain,
    double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)))]]) ).

cnf(refute_0_405,plain,
    ( double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) != double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)),double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_406,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)),double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity))) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = double_divide(double_divide(X,multiply(X_14,inverse(X))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_147,refute_0_406]) ).

cnf(refute_0_408,plain,
    ( double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) != X_14
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) != double_divide(double_divide(X,multiply(X_14,inverse(X))),identity)
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = X_14 ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X,multiply(X_14,inverse(X))),identity))),bind(Z0,$fot(X_14))]]) ).

cnf(refute_0_409,plain,
    ( double_divide(double_divide(X,multiply(X_14,inverse(X))),identity) != X_14
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)),double_divide(double_divide(X,multiply(X_14,inverse(X))),identity)) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,inverse(X))),identity),X_14) )],[refute_0_403,refute_0_409]) ).

cnf(refute_0_411,plain,
    ( double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) != X_14
    | double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) != double_divide(identity,inverse(X_14))
    | X_14 = double_divide(identity,inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)),double_divide(identity,inverse(X_14))) ),[0],$fot(X_14)]]) ).

cnf(refute_0_412,plain,
    ( double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)) != double_divide(identity,inverse(X_14))
    | X_14 = double_divide(identity,inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)),X_14) )],[refute_0_410,refute_0_411]) ).

cnf(refute_0_413,plain,
    X_14 = double_divide(identity,inverse(X_14)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X,multiply(X_14,inverse(X))),inverse(identity)),double_divide(identity,inverse(X_14))) )],[refute_0_334,refute_0_412]) ).

cnf(refute_0_414,plain,
    inverse(X_27) = double_divide(identity,inverse(inverse(X_27))),
    inference(subst,[],[refute_0_413:[bind(X_14,$fot(inverse(X_27)))]]) ).

cnf(refute_0_415,plain,
    ( inverse(X_27) != double_divide(identity,inverse(inverse(X_27)))
    | inverse(inverse(X_27)) != X_27
    | inverse(X_27) = double_divide(identity,X_27) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_27),double_divide(identity,inverse(inverse(X_27)))) ),[1,1],$fot(X_27)]]) ).

cnf(refute_0_416,plain,
    ( inverse(X_27) != double_divide(identity,inverse(inverse(X_27)))
    | inverse(X_27) = double_divide(identity,X_27) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),X_27) )],[refute_0_279,refute_0_415]) ).

cnf(refute_0_417,plain,
    inverse(X_27) = double_divide(identity,X_27),
    inference(resolve,[$cnf( $equal(inverse(X_27),double_divide(identity,inverse(inverse(X_27)))) )],[refute_0_414,refute_0_416]) ).

cnf(refute_0_418,plain,
    ( inverse(X_27) != double_divide(identity,X_27)
    | double_divide(identity,X_27) = inverse(X_27) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_27))),bind(Y0,$fot(double_divide(identity,X_27)))]]) ).

cnf(refute_0_419,plain,
    double_divide(identity,X_27) = inverse(X_27),
    inference(resolve,[$cnf( $equal(inverse(X_27),double_divide(identity,X_27)) )],[refute_0_417,refute_0_418]) ).

cnf(refute_0_420,plain,
    double_divide(identity,X_15) = inverse(X_15),
    inference(subst,[],[refute_0_419:[bind(X_27,$fot(X_15))]]) ).

cnf(refute_0_421,plain,
    double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) = double_divide(double_divide(identity,X_15),inverse(inverse(X_16))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))]]) ).

cnf(refute_0_422,plain,
    ( double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) != double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))
    | double_divide(identity,X_15) != inverse(X_15)
    | double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),inverse(inverse(X_16))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(inverse(X_16))),double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) ),[1,0],$fot(inverse(X_15))]]) ).

cnf(refute_0_423,plain,
    ( double_divide(identity,X_15) != inverse(X_15)
    | double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),inverse(inverse(X_16))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(inverse(X_16))),double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),inverse(inverse(X_16))),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_15),inverse(X_15)) )],[refute_0_420,refute_0_423]) ).

cnf(refute_0_425,plain,
    ( double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) != double_divide(inverse(X_15),inverse(inverse(X_16)))
    | double_divide(inverse(X_15),inverse(inverse(X_16))) != double_divide(inverse(X_15),X_16)
    | double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),X_16) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),bind(Y0,$fot(double_divide(inverse(X_15),inverse(inverse(X_16))))),bind(Z0,$fot(double_divide(inverse(X_15),X_16)))]]) ).

cnf(refute_0_426,plain,
    ( double_divide(inverse(X_15),inverse(inverse(X_16))) != double_divide(inverse(X_15),X_16)
    | double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),X_16) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(inverse(X_16))),double_divide(inverse(X_15),inverse(inverse(X_16)))) )],[refute_0_424,refute_0_425]) ).

cnf(refute_0_427,plain,
    double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) = double_divide(inverse(X_15),X_16),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),inverse(inverse(X_16))),double_divide(inverse(X_15),X_16)) )],[refute_0_314,refute_0_426]) ).

cnf(refute_0_428,plain,
    double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) = double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),
    introduced(tautology,[refl,[$fot(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))]]) ).

cnf(refute_0_429,plain,
    ( double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) != double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))
    | double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) != double_divide(inverse(X_15),X_16)
    | double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) = double_divide(X_16,double_divide(inverse(X_15),X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) ),[1,1],$fot(double_divide(inverse(X_15),X_16))]]) ).

cnf(refute_0_430,plain,
    ( double_divide(double_divide(identity,X_15),inverse(inverse(X_16))) != double_divide(inverse(X_15),X_16)
    | double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) = double_divide(X_16,double_divide(inverse(X_15),X_16)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) )],[refute_0_428,refute_0_429]) ).

cnf(refute_0_431,plain,
    double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) = double_divide(X_16,double_divide(inverse(X_15),X_16)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(inverse(X_16))),double_divide(inverse(X_15),X_16)) )],[refute_0_427,refute_0_430]) ).

cnf(refute_0_432,plain,
    multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),
    introduced(tautology,[refl,[$fot(multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))))]]) ).

cnf(refute_0_433,plain,
    ( multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))
    | double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) != double_divide(X_16,double_divide(inverse(X_15),X_16))
    | multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))) ),[1,1],$fot(double_divide(X_16,double_divide(inverse(X_15),X_16)))]]) ).

cnf(refute_0_434,plain,
    ( double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))) != double_divide(X_16,double_divide(inverse(X_15),X_16))
    | multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))) ),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))) )],[refute_0_432,refute_0_433]) ).

cnf(refute_0_435,plain,
    multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))),
    inference(resolve,[$cnf( $equal(double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))),double_divide(X_16,double_divide(inverse(X_15),X_16))) )],[refute_0_431,refute_0_434]) ).

cnf(refute_0_436,plain,
    multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),
    introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))))]]) ).

cnf(refute_0_437,plain,
    ( multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))
    | inverse(identity) != identity
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_438,plain,
    ( inverse(identity) != identity
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))) )],[refute_0_436,refute_0_437]) ).

cnf(refute_0_439,plain,
    multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_147,refute_0_438]) ).

cnf(refute_0_440,plain,
    ( multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16)))
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))))),bind(Y0,$fot(multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))))),bind(Z0,$fot(multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16)))))]]) ).

cnf(refute_0_441,plain,
    ( multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16)))
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16)))))) )],[refute_0_439,refute_0_440]) ).

cnf(refute_0_442,plain,
    multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16)))) )],[refute_0_435,refute_0_441]) ).

cnf(refute_0_443,plain,
    ( multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))) != double_divide(X_16,double_divide(inverse(X_15),X_16))
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16)))
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = double_divide(X_16,double_divide(inverse(X_15),X_16)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))))),bind(Y0,$fot(multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))))),bind(Z0,$fot(double_divide(X_16,double_divide(inverse(X_15),X_16))))]]) ).

cnf(refute_0_444,plain,
    ( multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))) != double_divide(X_16,double_divide(inverse(X_15),X_16))
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = double_divide(X_16,double_divide(inverse(X_15),X_16)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16)))) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) = double_divide(X_16,double_divide(inverse(X_15),X_16)),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_16,double_divide(inverse(X_15),X_16))),double_divide(X_16,double_divide(inverse(X_15),X_16))) )],[refute_0_309,refute_0_444]) ).

cnf(refute_0_446,plain,
    ( multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != double_divide(X_16,double_divide(inverse(X_15),X_16))
    | multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != inverse(X_15)
    | double_divide(X_16,double_divide(inverse(X_15),X_16)) = inverse(X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),inverse(X_15)) ),[0],$fot(double_divide(X_16,double_divide(inverse(X_15),X_16)))]]) ).

cnf(refute_0_447,plain,
    ( multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))) != inverse(X_15)
    | double_divide(X_16,double_divide(inverse(X_15),X_16)) = inverse(X_15) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),double_divide(X_16,double_divide(inverse(X_15),X_16))) )],[refute_0_445,refute_0_446]) ).

cnf(refute_0_448,plain,
    double_divide(X_16,double_divide(inverse(X_15),X_16)) = inverse(X_15),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_16,double_divide(double_divide(identity,X_15),inverse(inverse(X_16))))),inverse(X_15)) )],[refute_0_304,refute_0_447]) ).

cnf(refute_0_449,plain,
    double_divide(Y,double_divide(inverse(X_52),Y)) = inverse(X_52),
    inference(subst,[],[refute_0_448:[bind(X_15,$fot(X_52)),bind(X_16,$fot(Y))]]) ).

cnf(refute_0_450,plain,
    ( multiply(double_divide(inverse(X_52),Y),Y) != inverse(double_divide(Y,double_divide(inverse(X_52),Y)))
    | double_divide(Y,double_divide(inverse(X_52),Y)) != inverse(X_52)
    | multiply(double_divide(inverse(X_52),Y),Y) = inverse(inverse(X_52)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_52),Y),Y),inverse(double_divide(Y,double_divide(inverse(X_52),Y)))) ),[1,0],$fot(inverse(X_52))]]) ).

cnf(refute_0_451,plain,
    ( multiply(double_divide(inverse(X_52),Y),Y) != inverse(double_divide(Y,double_divide(inverse(X_52),Y)))
    | multiply(double_divide(inverse(X_52),Y),Y) = inverse(inverse(X_52)) ),
    inference(resolve,[$cnf( $equal(double_divide(Y,double_divide(inverse(X_52),Y)),inverse(X_52)) )],[refute_0_449,refute_0_450]) ).

cnf(refute_0_452,plain,
    multiply(double_divide(inverse(X_52),Y),Y) = inverse(inverse(X_52)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_52),Y),Y),inverse(double_divide(Y,double_divide(inverse(X_52),Y)))) )],[refute_0_299,refute_0_451]) ).

cnf(refute_0_453,plain,
    inverse(inverse(X_52)) = X_52,
    inference(subst,[],[refute_0_279:[bind(X_27,$fot(X_52))]]) ).

cnf(refute_0_454,plain,
    ( multiply(double_divide(inverse(X_52),Y),Y) != inverse(inverse(X_52))
    | inverse(inverse(X_52)) != X_52
    | multiply(double_divide(inverse(X_52),Y),Y) = X_52 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(inverse(X_52),Y),Y),X_52) ),[0],$fot(inverse(inverse(X_52)))]]) ).

cnf(refute_0_455,plain,
    ( multiply(double_divide(inverse(X_52),Y),Y) != inverse(inverse(X_52))
    | multiply(double_divide(inverse(X_52),Y),Y) = X_52 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_52)),X_52) )],[refute_0_453,refute_0_454]) ).

cnf(refute_0_456,plain,
    multiply(double_divide(inverse(X_52),Y),Y) = X_52,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_52),Y),Y),inverse(inverse(X_52))) )],[refute_0_452,refute_0_455]) ).

cnf(refute_0_457,plain,
    multiply(double_divide(inverse(X_55),X_29),X_29) = X_55,
    inference(subst,[],[refute_0_456:[bind(Y,$fot(X_29)),bind(X_52,$fot(X_55))]]) ).

cnf(refute_0_458,plain,
    ( multiply(double_divide(inverse(X_55),X_29),X_29) != X_55
    | inverse(double_divide(inverse(X_55),X_29)) != double_divide(inverse(X_29),multiply(double_divide(inverse(X_55),X_29),X_29))
    | inverse(double_divide(inverse(X_55),X_29)) = double_divide(inverse(X_29),X_55) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(inverse(X_55),X_29)),double_divide(inverse(X_29),multiply(double_divide(inverse(X_55),X_29),X_29))) ),[1,1],$fot(X_55)]]) ).

cnf(refute_0_459,plain,
    ( inverse(double_divide(inverse(X_55),X_29)) != double_divide(inverse(X_29),multiply(double_divide(inverse(X_55),X_29),X_29))
    | inverse(double_divide(inverse(X_55),X_29)) = double_divide(inverse(X_29),X_55) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_55),X_29),X_29),X_55) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    inverse(double_divide(inverse(X_55),X_29)) = double_divide(inverse(X_29),X_55),
    inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_55),X_29)),double_divide(inverse(X_29),multiply(double_divide(inverse(X_55),X_29),X_29))) )],[refute_0_298,refute_0_459]) ).

cnf(refute_0_461,plain,
    inverse(double_divide(inverse(X_55),X_29)) = multiply(X_29,inverse(X_55)),
    inference(subst,[],[refute_0_67:[bind(X,$fot(X_29)),bind(Y,$fot(inverse(X_55)))]]) ).

cnf(refute_0_462,plain,
    ( inverse(double_divide(inverse(X_55),X_29)) != multiply(X_29,inverse(X_55))
    | inverse(double_divide(inverse(X_55),X_29)) != double_divide(inverse(X_29),X_55)
    | multiply(X_29,inverse(X_55)) = double_divide(inverse(X_29),X_55) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(inverse(X_55),X_29)),double_divide(inverse(X_29),X_55)) ),[0],$fot(multiply(X_29,inverse(X_55)))]]) ).

cnf(refute_0_463,plain,
    ( inverse(double_divide(inverse(X_55),X_29)) != double_divide(inverse(X_29),X_55)
    | multiply(X_29,inverse(X_55)) = double_divide(inverse(X_29),X_55) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_55),X_29)),multiply(X_29,inverse(X_55))) )],[refute_0_461,refute_0_462]) ).

cnf(refute_0_464,plain,
    multiply(X_29,inverse(X_55)) = double_divide(inverse(X_29),X_55),
    inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_55),X_29)),double_divide(inverse(X_29),X_55)) )],[refute_0_460,refute_0_463]) ).

cnf(refute_0_465,plain,
    ( multiply(X_29,inverse(X_55)) != double_divide(inverse(X_29),X_55)
    | double_divide(inverse(X_29),X_55) = multiply(X_29,inverse(X_55)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_29,inverse(X_55)))),bind(Y0,$fot(double_divide(inverse(X_29),X_55)))]]) ).

cnf(refute_0_466,plain,
    double_divide(inverse(X_29),X_55) = multiply(X_29,inverse(X_55)),
    inference(resolve,[$cnf( $equal(multiply(X_29,inverse(X_55)),double_divide(inverse(X_29),X_55)) )],[refute_0_464,refute_0_465]) ).

cnf(refute_0_467,plain,
    double_divide(inverse(X_29),multiply(X_27,X_29)) = multiply(X_29,inverse(multiply(X_27,X_29))),
    inference(subst,[],[refute_0_466:[bind(X_55,$fot(multiply(X_27,X_29)))]]) ).

cnf(refute_0_468,plain,
    ( multiply(X_29,inverse(multiply(X_27,X_29))) != multiply(X_29,double_divide(X_29,X_27))
    | double_divide(inverse(X_29),multiply(X_27,X_29)) != multiply(X_29,inverse(multiply(X_27,X_29)))
    | double_divide(inverse(X_29),multiply(X_27,X_29)) = multiply(X_29,double_divide(X_29,X_27)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(inverse(X_29),multiply(X_27,X_29)))),bind(Y0,$fot(multiply(X_29,inverse(multiply(X_27,X_29))))),bind(Z0,$fot(multiply(X_29,double_divide(X_29,X_27))))]]) ).

cnf(refute_0_469,plain,
    ( multiply(X_29,inverse(multiply(X_27,X_29))) != multiply(X_29,double_divide(X_29,X_27))
    | double_divide(inverse(X_29),multiply(X_27,X_29)) = multiply(X_29,double_divide(X_29,X_27)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_29),multiply(X_27,X_29)),multiply(X_29,inverse(multiply(X_27,X_29)))) )],[refute_0_467,refute_0_468]) ).

cnf(refute_0_470,plain,
    double_divide(inverse(X_29),multiply(X_27,X_29)) = multiply(X_29,double_divide(X_29,X_27)),
    inference(resolve,[$cnf( $equal(multiply(X_29,inverse(multiply(X_27,X_29))),multiply(X_29,double_divide(X_29,X_27))) )],[refute_0_297,refute_0_469]) ).

cnf(refute_0_471,plain,
    ( double_divide(inverse(X_29),multiply(X_27,X_29)) != multiply(X_29,double_divide(X_29,X_27))
    | inverse(X_27) != double_divide(inverse(X_29),multiply(X_27,X_29))
    | inverse(X_27) = multiply(X_29,double_divide(X_29,X_27)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_27),double_divide(inverse(X_29),multiply(X_27,X_29))) ),[1],$fot(multiply(X_29,double_divide(X_29,X_27)))]]) ).

cnf(refute_0_472,plain,
    ( inverse(X_27) != double_divide(inverse(X_29),multiply(X_27,X_29))
    | inverse(X_27) = multiply(X_29,double_divide(X_29,X_27)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_29),multiply(X_27,X_29)),multiply(X_29,double_divide(X_29,X_27))) )],[refute_0_470,refute_0_471]) ).

cnf(refute_0_473,plain,
    inverse(X_27) = multiply(X_29,double_divide(X_29,X_27)),
    inference(resolve,[$cnf( $equal(inverse(X_27),double_divide(inverse(X_29),multiply(X_27,X_29))) )],[refute_0_292,refute_0_472]) ).

cnf(refute_0_474,plain,
    inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) = multiply(X_29,double_divide(X_29,multiply(multiply(X_72,double_divide(X_29,X_74)),X_74))),
    inference(subst,[],[refute_0_473:[bind(X_27,$fot(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)))]]) ).

cnf(refute_0_475,plain,
    multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = inverse(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),inverse(identity))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))))]]) ).

cnf(refute_0_476,plain,
    double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),inverse(identity)) = X_10,
    inference(subst,[],[refute_0_57:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(X_10))]]) ).

cnf(refute_0_477,plain,
    ( multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) != inverse(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),inverse(identity)))
    | double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),inverse(identity)) != X_10
    | multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = inverse(X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),inverse(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),inverse(identity)))) ),[1,0],$fot(X_10)]]) ).

cnf(refute_0_478,plain,
    ( multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) != inverse(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),inverse(identity)))
    | multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = inverse(X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),inverse(identity)),X_10) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = inverse(X_10),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),inverse(double_divide(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),inverse(identity)))) )],[refute_0_475,refute_0_478]) ).

cnf(refute_0_480,plain,
    inverse(double_divide(double_divide(X_8,X_9),X_10)) = multiply(X_10,double_divide(X_8,X_9)),
    inference(subst,[],[refute_0_67:[bind(X,$fot(X_10)),bind(Y,$fot(double_divide(X_8,X_9)))]]) ).

cnf(refute_0_481,plain,
    multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9) = multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9),
    introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9))]]) ).

cnf(refute_0_482,plain,
    ( multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9) != multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9)
    | inverse(double_divide(double_divide(X_8,X_9),X_10)) != multiply(X_10,double_divide(X_8,X_9))
    | multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9) = multiply(multiply(X_10,double_divide(X_8,X_9)),X_9) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9),multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9)) ),[1,0],$fot(multiply(X_10,double_divide(X_8,X_9)))]]) ).

cnf(refute_0_483,plain,
    ( inverse(double_divide(double_divide(X_8,X_9),X_10)) != multiply(X_10,double_divide(X_8,X_9))
    | multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9) = multiply(multiply(X_10,double_divide(X_8,X_9)),X_9) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9),multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9)) )],[refute_0_481,refute_0_482]) ).

cnf(refute_0_484,plain,
    multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9) = multiply(multiply(X_10,double_divide(X_8,X_9)),X_9),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_8,X_9),X_10)),multiply(X_10,double_divide(X_8,X_9))) )],[refute_0_480,refute_0_483]) ).

cnf(refute_0_485,plain,
    multiply(double_divide(inverse(X_55),multiply(X_27,X_55)),multiply(X_27,X_55)) = X_55,
    inference(subst,[],[refute_0_456:[bind(Y,$fot(multiply(X_27,X_55))),bind(X_52,$fot(X_55))]]) ).

cnf(refute_0_486,plain,
    inverse(X_27) = double_divide(inverse(X_55),multiply(X_27,X_55)),
    inference(subst,[],[refute_0_292:[bind(X_29,$fot(X_55))]]) ).

cnf(refute_0_487,plain,
    ( inverse(X_27) != double_divide(inverse(X_55),multiply(X_27,X_55))
    | double_divide(inverse(X_55),multiply(X_27,X_55)) = inverse(X_27) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_27))),bind(Y0,$fot(double_divide(inverse(X_55),multiply(X_27,X_55))))]]) ).

cnf(refute_0_488,plain,
    double_divide(inverse(X_55),multiply(X_27,X_55)) = inverse(X_27),
    inference(resolve,[$cnf( $equal(inverse(X_27),double_divide(inverse(X_55),multiply(X_27,X_55))) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    ( multiply(double_divide(inverse(X_55),multiply(X_27,X_55)),multiply(X_27,X_55)) != X_55
    | double_divide(inverse(X_55),multiply(X_27,X_55)) != inverse(X_27)
    | multiply(inverse(X_27),multiply(X_27,X_55)) = X_55 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_55),multiply(X_27,X_55)),multiply(X_27,X_55)),X_55) ),[0,0],$fot(inverse(X_27))]]) ).

cnf(refute_0_490,plain,
    ( multiply(double_divide(inverse(X_55),multiply(X_27,X_55)),multiply(X_27,X_55)) != X_55
    | multiply(inverse(X_27),multiply(X_27,X_55)) = X_55 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_55),multiply(X_27,X_55)),inverse(X_27)) )],[refute_0_488,refute_0_489]) ).

cnf(refute_0_491,plain,
    multiply(inverse(X_27),multiply(X_27,X_55)) = X_55,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_55),multiply(X_27,X_55)),multiply(X_27,X_55)),X_55) )],[refute_0_485,refute_0_490]) ).

cnf(refute_0_492,plain,
    multiply(inverse(X_60),multiply(X_60,double_divide(X_60,X_27))) = double_divide(X_60,X_27),
    inference(subst,[],[refute_0_491:[bind(X_27,$fot(X_60)),bind(X_55,$fot(double_divide(X_60,X_27)))]]) ).

cnf(refute_0_493,plain,
    inverse(X_27) = multiply(X_60,double_divide(X_60,X_27)),
    inference(subst,[],[refute_0_473:[bind(X_29,$fot(X_60))]]) ).

cnf(refute_0_494,plain,
    ( inverse(X_27) != multiply(X_60,double_divide(X_60,X_27))
    | multiply(X_60,double_divide(X_60,X_27)) = inverse(X_27) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_27))),bind(Y0,$fot(multiply(X_60,double_divide(X_60,X_27))))]]) ).

cnf(refute_0_495,plain,
    multiply(X_60,double_divide(X_60,X_27)) = inverse(X_27),
    inference(resolve,[$cnf( $equal(inverse(X_27),multiply(X_60,double_divide(X_60,X_27))) )],[refute_0_493,refute_0_494]) ).

cnf(refute_0_496,plain,
    ( multiply(X_60,double_divide(X_60,X_27)) != inverse(X_27)
    | multiply(inverse(X_60),multiply(X_60,double_divide(X_60,X_27))) != double_divide(X_60,X_27)
    | multiply(inverse(X_60),inverse(X_27)) = double_divide(X_60,X_27) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),multiply(X_60,double_divide(X_60,X_27))),double_divide(X_60,X_27)) ),[0,1],$fot(inverse(X_27))]]) ).

cnf(refute_0_497,plain,
    ( multiply(inverse(X_60),multiply(X_60,double_divide(X_60,X_27))) != double_divide(X_60,X_27)
    | multiply(inverse(X_60),inverse(X_27)) = double_divide(X_60,X_27) ),
    inference(resolve,[$cnf( $equal(multiply(X_60,double_divide(X_60,X_27)),inverse(X_27)) )],[refute_0_495,refute_0_496]) ).

cnf(refute_0_498,plain,
    multiply(inverse(X_60),inverse(X_27)) = double_divide(X_60,X_27),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(X_60,double_divide(X_60,X_27))),double_divide(X_60,X_27)) )],[refute_0_492,refute_0_497]) ).

cnf(refute_0_499,plain,
    multiply(inverse(X_71),inverse(inverse(X_27))) = double_divide(X_71,inverse(X_27)),
    inference(subst,[],[refute_0_498:[bind(X_27,$fot(inverse(X_27))),bind(X_60,$fot(X_71))]]) ).

cnf(refute_0_500,plain,
    ( multiply(inverse(X_71),inverse(inverse(X_27))) != double_divide(X_71,inverse(X_27))
    | inverse(inverse(X_27)) != X_27
    | multiply(inverse(X_71),X_27) = double_divide(X_71,inverse(X_27)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_71),inverse(inverse(X_27))),double_divide(X_71,inverse(X_27))) ),[0,1],$fot(X_27)]]) ).

cnf(refute_0_501,plain,
    ( multiply(inverse(X_71),inverse(inverse(X_27))) != double_divide(X_71,inverse(X_27))
    | multiply(inverse(X_71),X_27) = double_divide(X_71,inverse(X_27)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),X_27) )],[refute_0_279,refute_0_500]) ).

cnf(refute_0_502,plain,
    multiply(inverse(X_71),X_27) = double_divide(X_71,inverse(X_27)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_71),inverse(inverse(X_27))),double_divide(X_71,inverse(X_27))) )],[refute_0_499,refute_0_501]) ).

cnf(refute_0_503,plain,
    ( multiply(inverse(X_71),X_27) != double_divide(X_71,inverse(X_27))
    | double_divide(X_71,inverse(X_27)) = multiply(inverse(X_71),X_27) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_71),X_27))),bind(Y0,$fot(double_divide(X_71,inverse(X_27))))]]) ).

cnf(refute_0_504,plain,
    double_divide(X_71,inverse(X_27)) = multiply(inverse(X_71),X_27),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_71),X_27),double_divide(X_71,inverse(X_27))) )],[refute_0_502,refute_0_503]) ).

cnf(refute_0_505,plain,
    double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)) = multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9),
    inference(subst,[],[refute_0_504:[bind(X_27,$fot(X_9)),bind(X_71,$fot(double_divide(double_divide(X_8,X_9),X_10)))]]) ).

cnf(refute_0_506,plain,
    ( multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9) != multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)
    | double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)) != multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9)
    | double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)) = multiply(multiply(X_10,double_divide(X_8,X_9)),X_9) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),bind(Y0,$fot(multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9))),bind(Z0,$fot(multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)))]]) ).

cnf(refute_0_507,plain,
    ( multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9) != multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)
    | double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)) = multiply(multiply(X_10,double_divide(X_8,X_9)),X_9) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9)) )],[refute_0_505,refute_0_506]) ).

cnf(refute_0_508,plain,
    double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)) = multiply(multiply(X_10,double_divide(X_8,X_9)),X_9),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(double_divide(X_8,X_9),X_10)),X_9),multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) )],[refute_0_484,refute_0_507]) ).

cnf(refute_0_509,plain,
    double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) = double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),
    introduced(tautology,[refl,[$fot(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))))]]) ).

cnf(refute_0_510,plain,
    ( double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) != double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))
    | double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)) != multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)
    | double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) = double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) ),[1,1],$fot(multiply(multiply(X_10,double_divide(X_8,X_9)),X_9))]]) ).

cnf(refute_0_511,plain,
    ( double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)) != multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)
    | double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) = double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) )],[refute_0_509,refute_0_510]) ).

cnf(refute_0_512,plain,
    double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) = double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) )],[refute_0_508,refute_0_511]) ).

cnf(refute_0_513,plain,
    inverse(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) = double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),
    inference(subst,[],[refute_0_288:[bind(X,$fot(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),bind(Y,$fot(X_8))]]) ).

cnf(refute_0_514,plain,
    double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) = inverse(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)),
    inference(subst,[],[refute_0_419:[bind(X_27,$fot(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)))]]) ).

cnf(refute_0_515,plain,
    ( double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) != inverse(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8))
    | inverse(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) != double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))
    | double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) = double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)))),bind(Y0,$fot(inverse(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)))),bind(Z0,$fot(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))))]]) ).

cnf(refute_0_516,plain,
    ( inverse(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) != double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))
    | double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) = double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)),inverse(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8))) )],[refute_0_514,refute_0_515]) ).

cnf(refute_0_517,plain,
    double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) = double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) )],[refute_0_513,refute_0_516]) ).

cnf(refute_0_518,plain,
    multiply(inverse(X_71),inverse(multiply(X,Y))) = double_divide(X_71,multiply(X,Y)),
    inference(subst,[],[refute_0_498:[bind(X_27,$fot(multiply(X,Y))),bind(X_60,$fot(X_71))]]) ).

cnf(refute_0_519,plain,
    ( multiply(inverse(X_71),inverse(multiply(X,Y))) != double_divide(X_71,multiply(X,Y))
    | inverse(multiply(X,Y)) != double_divide(Y,X)
    | multiply(inverse(X_71),double_divide(Y,X)) = double_divide(X_71,multiply(X,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_71),inverse(multiply(X,Y))),double_divide(X_71,multiply(X,Y))) ),[0,1],$fot(double_divide(Y,X))]]) ).

cnf(refute_0_520,plain,
    ( multiply(inverse(X_71),inverse(multiply(X,Y))) != double_divide(X_71,multiply(X,Y))
    | multiply(inverse(X_71),double_divide(Y,X)) = double_divide(X_71,multiply(X,Y)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X,Y)),double_divide(Y,X)) )],[refute_0_288,refute_0_519]) ).

cnf(refute_0_521,plain,
    multiply(inverse(X_71),double_divide(Y,X)) = double_divide(X_71,multiply(X,Y)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_71),inverse(multiply(X,Y))),double_divide(X_71,multiply(X,Y))) )],[refute_0_518,refute_0_520]) ).

cnf(refute_0_522,plain,
    multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)),
    inference(subst,[],[refute_0_521:[bind(X,$fot(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),bind(Y,$fot(X_8)),bind(X_71,$fot(identity))]]) ).

cnf(refute_0_523,plain,
    ( multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) != double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8))
    | double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) != double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))
    | multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))))),bind(Y0,$fot(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)))),bind(Z0,$fot(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))))]]) ).

cnf(refute_0_524,plain,
    ( double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)) != double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))
    | multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8))) )],[refute_0_522,refute_0_523]) ).

cnf(refute_0_525,plain,
    multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)),X_8)),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) )],[refute_0_517,refute_0_524]) ).

cnf(refute_0_526,plain,
    ( multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) != double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))
    | double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) != double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9))
    | multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) ),
    inference(subst,[],[refute_0_51:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))))),bind(Y0,$fot(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))))),bind(Z0,$fot(double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9))))]]) ).

cnf(refute_0_527,plain,
    ( double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))) != double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9))
    | multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) )],[refute_0_525,refute_0_526]) ).

cnf(refute_0_528,plain,
    multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) = double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)),
    inference(resolve,[$cnf( $equal(double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9))),double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9))) )],[refute_0_512,refute_0_527]) ).

cnf(refute_0_529,plain,
    ( multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) != double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9))
    | multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) != inverse(X_10)
    | double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) = inverse(X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),inverse(X_10)) ),[0],$fot(double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)))]]) ).

cnf(refute_0_530,plain,
    ( multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))) != inverse(X_10)
    | double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) = inverse(X_10) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9))) )],[refute_0_528,refute_0_529]) ).

cnf(refute_0_531,plain,
    double_divide(X_8,multiply(multiply(X_10,double_divide(X_8,X_9)),X_9)) = inverse(X_10),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_8,double_divide(double_divide(double_divide(X_8,X_9),X_10),inverse(X_9)))),inverse(X_10)) )],[refute_0_479,refute_0_530]) ).

cnf(refute_0_532,plain,
    double_divide(X_29,multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) = inverse(X_72),
    inference(subst,[],[refute_0_531:[bind(X_10,$fot(X_72)),bind(X_8,$fot(X_29)),bind(X_9,$fot(X_74))]]) ).

cnf(refute_0_533,plain,
    ( double_divide(X_29,multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) != inverse(X_72)
    | inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) != multiply(X_29,double_divide(X_29,multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)))
    | inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) = multiply(X_29,inverse(X_72)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)),multiply(X_29,double_divide(X_29,multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)))) ),[1,1],$fot(inverse(X_72))]]) ).

cnf(refute_0_534,plain,
    ( inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) != multiply(X_29,double_divide(X_29,multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)))
    | inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) = multiply(X_29,inverse(X_72)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_29,multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)),inverse(X_72)) )],[refute_0_532,refute_0_533]) ).

cnf(refute_0_535,plain,
    inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) = multiply(X_29,inverse(X_72)),
    inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)),multiply(X_29,double_divide(X_29,multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)))) )],[refute_0_474,refute_0_534]) ).

cnf(refute_0_536,plain,
    inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) = double_divide(X_74,multiply(X_72,double_divide(X_29,X_74))),
    inference(subst,[],[refute_0_288:[bind(X,$fot(multiply(X_72,double_divide(X_29,X_74)))),bind(Y,$fot(X_74))]]) ).

cnf(refute_0_537,plain,
    ( inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) != multiply(X_29,inverse(X_72))
    | inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) != double_divide(X_74,multiply(X_72,double_divide(X_29,X_74)))
    | double_divide(X_74,multiply(X_72,double_divide(X_29,X_74))) = multiply(X_29,inverse(X_72)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)),multiply(X_29,inverse(X_72))) ),[0],$fot(double_divide(X_74,multiply(X_72,double_divide(X_29,X_74))))]]) ).

cnf(refute_0_538,plain,
    ( inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)) != multiply(X_29,inverse(X_72))
    | double_divide(X_74,multiply(X_72,double_divide(X_29,X_74))) = multiply(X_29,inverse(X_72)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)),double_divide(X_74,multiply(X_72,double_divide(X_29,X_74)))) )],[refute_0_536,refute_0_537]) ).

cnf(refute_0_539,plain,
    double_divide(X_74,multiply(X_72,double_divide(X_29,X_74))) = multiply(X_29,inverse(X_72)),
    inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_72,double_divide(X_29,X_74)),X_74)),multiply(X_29,inverse(X_72))) )],[refute_0_535,refute_0_538]) ).

cnf(refute_0_540,plain,
    double_divide(X_77,multiply(X_76,double_divide(double_divide(X_77,X_56),X_77))) = multiply(double_divide(X_77,X_56),inverse(X_76)),
    inference(subst,[],[refute_0_539:[bind(X_29,$fot(double_divide(X_77,X_56))),bind(X_72,$fot(X_76)),bind(X_74,$fot(X_77))]]) ).

cnf(refute_0_541,plain,
    inverse(multiply(X,double_divide(X,X_56))) = double_divide(double_divide(X,X_56),X),
    inference(subst,[],[refute_0_288:[bind(Y,$fot(double_divide(X,X_56)))]]) ).

cnf(refute_0_542,plain,
    inverse(X_56) = multiply(X,double_divide(X,X_56)),
    inference(subst,[],[refute_0_473:[bind(X_27,$fot(X_56)),bind(X_29,$fot(X))]]) ).

cnf(refute_0_543,plain,
    ( inverse(X_56) != multiply(X,double_divide(X,X_56))
    | multiply(X,double_divide(X,X_56)) = inverse(X_56) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_56))),bind(Y0,$fot(multiply(X,double_divide(X,X_56))))]]) ).

cnf(refute_0_544,plain,
    multiply(X,double_divide(X,X_56)) = inverse(X_56),
    inference(resolve,[$cnf( $equal(inverse(X_56),multiply(X,double_divide(X,X_56))) )],[refute_0_542,refute_0_543]) ).

cnf(refute_0_545,plain,
    ( multiply(X,double_divide(X,X_56)) != inverse(X_56)
    | inverse(multiply(X,double_divide(X,X_56))) != double_divide(double_divide(X,X_56),X)
    | inverse(inverse(X_56)) = double_divide(double_divide(X,X_56),X) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,double_divide(X,X_56))),double_divide(double_divide(X,X_56),X)) ),[0,0],$fot(inverse(X_56))]]) ).

cnf(refute_0_546,plain,
    ( inverse(multiply(X,double_divide(X,X_56))) != double_divide(double_divide(X,X_56),X)
    | inverse(inverse(X_56)) = double_divide(double_divide(X,X_56),X) ),
    inference(resolve,[$cnf( $equal(multiply(X,double_divide(X,X_56)),inverse(X_56)) )],[refute_0_544,refute_0_545]) ).

cnf(refute_0_547,plain,
    inverse(inverse(X_56)) = double_divide(double_divide(X,X_56),X),
    inference(resolve,[$cnf( $equal(inverse(multiply(X,double_divide(X,X_56))),double_divide(double_divide(X,X_56),X)) )],[refute_0_541,refute_0_546]) ).

cnf(refute_0_548,plain,
    inverse(inverse(X_56)) = X_56,
    inference(subst,[],[refute_0_279:[bind(X_27,$fot(X_56))]]) ).

cnf(refute_0_549,plain,
    ( inverse(inverse(X_56)) != X_56
    | inverse(inverse(X_56)) != double_divide(double_divide(X,X_56),X)
    | X_56 = double_divide(double_divide(X,X_56),X) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_56)),double_divide(double_divide(X,X_56),X)) ),[0],$fot(X_56)]]) ).

cnf(refute_0_550,plain,
    ( inverse(inverse(X_56)) != double_divide(double_divide(X,X_56),X)
    | X_56 = double_divide(double_divide(X,X_56),X) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_56)),X_56) )],[refute_0_548,refute_0_549]) ).

cnf(refute_0_551,plain,
    X_56 = double_divide(double_divide(X,X_56),X),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_56)),double_divide(double_divide(X,X_56),X)) )],[refute_0_547,refute_0_550]) ).

cnf(refute_0_552,plain,
    X_56 = double_divide(double_divide(X_77,X_56),X_77),
    inference(subst,[],[refute_0_551:[bind(X,$fot(X_77))]]) ).

cnf(refute_0_553,plain,
    ( X_56 != double_divide(double_divide(X_77,X_56),X_77)
    | double_divide(double_divide(X_77,X_56),X_77) = X_56 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(X_56)),bind(Y0,$fot(double_divide(double_divide(X_77,X_56),X_77)))]]) ).

cnf(refute_0_554,plain,
    double_divide(double_divide(X_77,X_56),X_77) = X_56,
    inference(resolve,[$cnf( $equal(X_56,double_divide(double_divide(X_77,X_56),X_77)) )],[refute_0_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    ( double_divide(X_77,multiply(X_76,double_divide(double_divide(X_77,X_56),X_77))) != multiply(double_divide(X_77,X_56),inverse(X_76))
    | double_divide(double_divide(X_77,X_56),X_77) != X_56
    | double_divide(X_77,multiply(X_76,X_56)) = multiply(double_divide(X_77,X_56),inverse(X_76)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_77,multiply(X_76,double_divide(double_divide(X_77,X_56),X_77))),multiply(double_divide(X_77,X_56),inverse(X_76))) ),[0,1,1],$fot(X_56)]]) ).

cnf(refute_0_556,plain,
    ( double_divide(X_77,multiply(X_76,double_divide(double_divide(X_77,X_56),X_77))) != multiply(double_divide(X_77,X_56),inverse(X_76))
    | double_divide(X_77,multiply(X_76,X_56)) = multiply(double_divide(X_77,X_56),inverse(X_76)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_77,X_56),X_77),X_56) )],[refute_0_554,refute_0_555]) ).

cnf(refute_0_557,plain,
    double_divide(X_77,multiply(X_76,X_56)) = multiply(double_divide(X_77,X_56),inverse(X_76)),
    inference(resolve,[$cnf( $equal(double_divide(X_77,multiply(X_76,double_divide(double_divide(X_77,X_56),X_77))),multiply(double_divide(X_77,X_56),inverse(X_76))) )],[refute_0_540,refute_0_556]) ).

cnf(refute_0_558,plain,
    multiply(double_divide(Y,X),inverse(X_65)) = double_divide(inverse(double_divide(Y,X)),X_65),
    inference(subst,[],[refute_0_464:[bind(X_29,$fot(double_divide(Y,X))),bind(X_55,$fot(X_65))]]) ).

cnf(refute_0_559,plain,
    ( multiply(double_divide(Y,X),inverse(X_65)) != double_divide(inverse(double_divide(Y,X)),X_65)
    | inverse(double_divide(Y,X)) != multiply(X,Y)
    | multiply(double_divide(Y,X),inverse(X_65)) = double_divide(multiply(X,Y),X_65) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,X),inverse(X_65)),double_divide(inverse(double_divide(Y,X)),X_65)) ),[1,0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_560,plain,
    ( multiply(double_divide(Y,X),inverse(X_65)) != double_divide(inverse(double_divide(Y,X)),X_65)
    | multiply(double_divide(Y,X),inverse(X_65)) = double_divide(multiply(X,Y),X_65) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_67,refute_0_559]) ).

cnf(refute_0_561,plain,
    multiply(double_divide(Y,X),inverse(X_65)) = double_divide(multiply(X,Y),X_65),
    inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),inverse(X_65)),double_divide(inverse(double_divide(Y,X)),X_65)) )],[refute_0_558,refute_0_560]) ).

cnf(refute_0_562,plain,
    multiply(double_divide(X_77,X_56),inverse(X_76)) = double_divide(multiply(X_56,X_77),X_76),
    inference(subst,[],[refute_0_561:[bind(X,$fot(X_56)),bind(Y,$fot(X_77)),bind(X_65,$fot(X_76))]]) ).

cnf(refute_0_563,plain,
    ( multiply(double_divide(X_77,X_56),inverse(X_76)) != double_divide(multiply(X_56,X_77),X_76)
    | double_divide(X_77,multiply(X_76,X_56)) != multiply(double_divide(X_77,X_56),inverse(X_76))
    | double_divide(X_77,multiply(X_76,X_56)) = double_divide(multiply(X_56,X_77),X_76) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_77,multiply(X_76,X_56)),multiply(double_divide(X_77,X_56),inverse(X_76))) ),[1],$fot(double_divide(multiply(X_56,X_77),X_76))]]) ).

cnf(refute_0_564,plain,
    ( double_divide(X_77,multiply(X_76,X_56)) != multiply(double_divide(X_77,X_56),inverse(X_76))
    | double_divide(X_77,multiply(X_76,X_56)) = double_divide(multiply(X_56,X_77),X_76) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_77,X_56),inverse(X_76)),double_divide(multiply(X_56,X_77),X_76)) )],[refute_0_562,refute_0_563]) ).

cnf(refute_0_565,plain,
    double_divide(X_77,multiply(X_76,X_56)) = double_divide(multiply(X_56,X_77),X_76),
    inference(resolve,[$cnf( $equal(double_divide(X_77,multiply(X_76,X_56)),multiply(double_divide(X_77,X_56),inverse(X_76))) )],[refute_0_557,refute_0_564]) ).

cnf(refute_0_566,plain,
    double_divide(X_87,multiply(X,X_85)) = double_divide(multiply(X_85,X_87),X),
    inference(subst,[],[refute_0_565:[bind(X_56,$fot(X_85)),bind(X_76,$fot(X)),bind(X_77,$fot(X_87))]]) ).

cnf(refute_0_567,plain,
    ( double_divide(X_87,multiply(X,X_85)) != double_divide(multiply(X_85,X_87),X)
    | double_divide(multiply(X_85,X_87),X) = double_divide(X_87,multiply(X,X_85)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_87,multiply(X,X_85)))),bind(Y0,$fot(double_divide(multiply(X_85,X_87),X)))]]) ).

cnf(refute_0_568,plain,
    double_divide(multiply(X_85,X_87),X) = double_divide(X_87,multiply(X,X_85)),
    inference(resolve,[$cnf( $equal(double_divide(X_87,multiply(X,X_85)),double_divide(multiply(X_85,X_87),X)) )],[refute_0_566,refute_0_567]) ).

cnf(refute_0_569,plain,
    ( multiply(X,multiply(X_85,X_87)) != inverse(double_divide(multiply(X_85,X_87),X))
    | double_divide(multiply(X_85,X_87),X) != double_divide(X_87,multiply(X,X_85))
    | multiply(X,multiply(X_85,X_87)) = inverse(double_divide(X_87,multiply(X,X_85))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_85,X_87)),inverse(double_divide(multiply(X_85,X_87),X))) ),[1,0],$fot(double_divide(X_87,multiply(X,X_85)))]]) ).

cnf(refute_0_570,plain,
    ( multiply(X,multiply(X_85,X_87)) != inverse(double_divide(multiply(X_85,X_87),X))
    | multiply(X,multiply(X_85,X_87)) = inverse(double_divide(X_87,multiply(X,X_85))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_85,X_87),X),double_divide(X_87,multiply(X,X_85))) )],[refute_0_568,refute_0_569]) ).

cnf(refute_0_571,plain,
    multiply(X,multiply(X_85,X_87)) = inverse(double_divide(X_87,multiply(X,X_85))),
    inference(resolve,[$cnf( $equal(multiply(X,multiply(X_85,X_87)),inverse(double_divide(multiply(X_85,X_87),X))) )],[refute_0_284,refute_0_570]) ).

cnf(refute_0_572,plain,
    inverse(double_divide(X_87,multiply(X,X_85))) = multiply(multiply(X,X_85),X_87),
    inference(subst,[],[refute_0_67:[bind(X,$fot(multiply(X,X_85))),bind(Y,$fot(X_87))]]) ).

cnf(refute_0_573,plain,
    ( multiply(X,multiply(X_85,X_87)) != inverse(double_divide(X_87,multiply(X,X_85)))
    | inverse(double_divide(X_87,multiply(X,X_85))) != multiply(multiply(X,X_85),X_87)
    | multiply(X,multiply(X_85,X_87)) = multiply(multiply(X,X_85),X_87) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_85,X_87)),multiply(multiply(X,X_85),X_87)) ),[0],$fot(inverse(double_divide(X_87,multiply(X,X_85))))]]) ).

cnf(refute_0_574,plain,
    ( multiply(X,multiply(X_85,X_87)) != inverse(double_divide(X_87,multiply(X,X_85)))
    | multiply(X,multiply(X_85,X_87)) = multiply(multiply(X,X_85),X_87) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_87,multiply(X,X_85))),multiply(multiply(X,X_85),X_87)) )],[refute_0_572,refute_0_573]) ).

cnf(refute_0_575,plain,
    multiply(X,multiply(X_85,X_87)) = multiply(multiply(X,X_85),X_87),
    inference(resolve,[$cnf( $equal(multiply(X,multiply(X_85,X_87)),inverse(double_divide(X_87,multiply(X,X_85)))) )],[refute_0_571,refute_0_574]) ).

cnf(refute_0_576,plain,
    ( multiply(X,multiply(X_85,X_87)) != multiply(multiply(X,X_85),X_87)
    | multiply(multiply(X,X_85),X_87) = multiply(X,multiply(X_85,X_87)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(X_85,X_87)))),bind(Y0,$fot(multiply(multiply(X,X_85),X_87)))]]) ).

cnf(refute_0_577,plain,
    multiply(multiply(X,X_85),X_87) = multiply(X,multiply(X_85,X_87)),
    inference(resolve,[$cnf( $equal(multiply(X,multiply(X_85,X_87)),multiply(multiply(X,X_85),X_87)) )],[refute_0_575,refute_0_576]) ).

cnf(refute_0_578,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(subst,[],[refute_0_577:[bind(X,$fot(a3)),bind(X_85,$fot(b3)),bind(X_87,$fot(c3))]]) ).

cnf(refute_0_579,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_580,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_578,refute_0_579]) ).

cnf(refute_0_581,plain,
    ( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | a2 != a2 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_580,refute_0_283]) ).

cnf(refute_0_582,plain,
    multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_583,plain,
    a2 != a2,
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_582,refute_0_581]) ).

cnf(refute_0_584,plain,
    a2 = a2,
    introduced(tautology,[refl,[$fot(a2)]]) ).

cnf(refute_0_585,plain,
    $false,
    inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_584,refute_0_583]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16  % Problem  : GRP076-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.04/0.17  % Command  : metis --show proof --show saturation %s
% 0.14/0.39  % Computer : n017.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8042.1875MB
% 0.14/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 600
% 0.14/0.39  % DateTime : Tue Jun 14 01:39:38 EDT 2022
% 0.14/0.39  % CPUTime  : 
% 0.14/0.39  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.45/0.68  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.68  
% 0.45/0.68  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.53/0.77  
%------------------------------------------------------------------------------