%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n009.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 10:42:24 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   83
%            Number of leaves      :  122
% Syntax   : Number of clauses     :  444 ( 224 unt;   0 nHn; 221 RR)
%            Number of literals    :  766 ( 765 equ; 324 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  737 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = B ).

cnf(multiply,axiom,
    multiply(A,B) = double_divide(double_divide(B,A),identity) ).

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

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

cnf(prove_these_axioms_4,negated_conjecture,
    multiply(a,b) != multiply(b,a) ).

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

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

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

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

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

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

cnf(refute_0_6,plain,
    double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)))]]) ).

cnf(refute_0_7,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_8,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) != B
    | double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity))
    | double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),B) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)))]]) ).

cnf(refute_0_11,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) != B
    | double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) = B ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity))) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) = B,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),B) )],[single_axiom,refute_0_11]) ).

cnf(refute_0_13,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(inverse(X_10)))]]) ).

cnf(refute_0_14,plain,
    identity = double_divide(X_10,inverse(X_10)),
    inference(subst,[],[identity:[bind(A,$fot(X_10))]]) ).

cnf(refute_0_15,plain,
    ( identity != double_divide(X_10,inverse(X_10))
    | double_divide(X_10,inverse(X_10)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_10,inverse(X_10))))]]) ).

cnf(refute_0_16,plain,
    double_divide(X_10,inverse(X_10)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_10,inverse(X_10))) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( double_divide(X_10,inverse(X_10)) != identity
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).

cnf(refute_0_18,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(X_10)),identity) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_13,refute_0_18]) ).

cnf(refute_0_20,plain,
    double_divide(X_11,identity) = inverse(X_11),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_11))]]) ).

cnf(refute_0_21,plain,
    double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) = double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))))]]) ).

cnf(refute_0_22,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) != double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))
    | double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))),double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) ),[1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_23,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))),double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),
    inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_20,refute_0_23]) ).

cnf(refute_0_25,plain,
    double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) = double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),
    introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))))]]) ).

cnf(refute_0_26,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) != double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))))
    | double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))
    | double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))))) ),[1,1],$fot(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))]]) ).

cnf(refute_0_27,plain,
    ( double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))
    | double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))))) )],[refute_0_25,refute_0_26]) ).

cnf(refute_0_28,plain,
    double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10))),double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) )],[refute_0_24,refute_0_27]) ).

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

cnf(refute_0_30,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))))]]) ).

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

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

cnf(refute_0_33,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)))]]) ).

cnf(refute_0_34,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_19,refute_0_34]) ).

cnf(refute_0_36,plain,
    double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,A)))]]) ).

cnf(refute_0_37,plain,
    ( multiply(A,B) != double_divide(double_divide(B,A),identity)
    | double_divide(double_divide(B,A),identity) != inverse(double_divide(B,A))
    | multiply(A,B) = inverse(double_divide(B,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),inverse(double_divide(B,A))) ),[0],$fot(double_divide(double_divide(B,A),identity))]]) ).

cnf(refute_0_38,plain,
    ( multiply(A,B) != double_divide(double_divide(B,A),identity)
    | multiply(A,B) = inverse(double_divide(B,A)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),identity),inverse(double_divide(B,A))) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    multiply(A,B) = inverse(double_divide(B,A)),
    inference(resolve,[$cnf( $equal(multiply(A,B),double_divide(double_divide(B,A),identity)) )],[multiply,refute_0_38]) ).

cnf(refute_0_40,plain,
    ( multiply(A,B) != inverse(double_divide(B,A))
    | inverse(double_divide(B,A)) = multiply(A,B) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).

cnf(refute_0_41,plain,
    inverse(double_divide(B,A)) = multiply(A,B),
    inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),
    inference(subst,[],[refute_0_41:[bind(A,$fot(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))),bind(B,$fot(X_10))]]) ).

cnf(refute_0_43,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) = inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))))]]) ).

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

cnf(refute_0_45,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_44]) ).

cnf(refute_0_46,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) != inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))))
    | inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))))),bind(Z,$fot(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)))]]) ).

cnf(refute_0_47,plain,
    ( inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity),inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))))) )],[refute_0_43,refute_0_46]) ).

cnf(refute_0_48,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) )],[refute_0_42,refute_0_47]) ).

cnf(refute_0_49,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(identity))]]) ).

cnf(refute_0_50,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) != X_11
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)),X_11) ),[0,0,1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_51,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_50]) ).

cnf(refute_0_52,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)),X_11) )],[refute_0_49,refute_0_51]) ).

cnf(refute_0_53,plain,
    double_divide(X_10,identity) = inverse(X_10),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_10))]]) ).

cnf(refute_0_54,plain,
    double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,double_divide(X_10,identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_11,double_divide(X_10,identity)))]]) ).

cnf(refute_0_55,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,double_divide(X_10,identity))
    | double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,double_divide(X_10,identity))) ),[1,1],$fot(inverse(X_10))]]) ).

cnf(refute_0_56,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,double_divide(X_10,identity))) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_53,refute_0_56]) ).

cnf(refute_0_58,plain,
    double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))]]) ).

cnf(refute_0_59,plain,
    ( double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,inverse(X_10))
    | double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))
    | double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) ),[1,0],$fot(double_divide(X_11,inverse(X_10)))]]) ).

cnf(refute_0_60,plain,
    ( double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,inverse(X_10))
    | double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,inverse(X_10))) )],[refute_0_57,refute_0_60]) ).

cnf(refute_0_62,plain,
    double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))))]]) ).

cnf(refute_0_63,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))
    | double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))
    | double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))) ),[1,1],$fot(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))]]) ).

cnf(refute_0_64,plain,
    ( double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))
    | double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) )],[refute_0_61,refute_0_64]) ).

cnf(refute_0_66,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)))]]) ).

cnf(refute_0_67,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))))]]) ).

cnf(refute_0_68,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))) )],[refute_0_65,refute_0_68]) ).

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

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

cnf(refute_0_72,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) )],[refute_0_52,refute_0_71]) ).

cnf(refute_0_73,plain,
    double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)) = X_13,
    inference(subst,[],[refute_0_72:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_13))]]) ).

cnf(refute_0_74,plain,
    identity = double_divide(X_13,inverse(X_13)),
    inference(subst,[],[identity:[bind(A,$fot(X_13))]]) ).

cnf(refute_0_75,plain,
    ( identity != double_divide(X_13,inverse(X_13))
    | double_divide(X_13,inverse(X_13)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_13,inverse(X_13))))]]) ).

cnf(refute_0_76,plain,
    double_divide(X_13,inverse(X_13)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_13,inverse(X_13))) )],[refute_0_74,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( double_divide(X_13,inverse(X_13)) != identity
    | double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)) != X_13
    | double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)),X_13) ),[0,0,1,0],$fot(identity)]]) ).

cnf(refute_0_78,plain,
    ( double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)) != X_13
    | double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(X_13)),identity) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)),X_13) )],[refute_0_73,refute_0_78]) ).

cnf(refute_0_80,plain,
    double_divide(X_13,identity) = inverse(X_13),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_13))]]) ).

cnf(refute_0_81,plain,
    ( identity != double_divide(A,inverse(A))
    | double_divide(A,inverse(A)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(A,inverse(A))))]]) ).

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

cnf(refute_0_83,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(subst,[],[refute_0_82:[bind(A,$fot(identity))]]) ).

cnf(refute_0_84,plain,
    double_divide(X_13,double_divide(identity,inverse(identity))) = double_divide(X_13,double_divide(identity,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(X_13,double_divide(identity,inverse(identity))))]]) ).

cnf(refute_0_85,plain,
    ( double_divide(X_13,double_divide(identity,inverse(identity))) != double_divide(X_13,double_divide(identity,inverse(identity)))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(X_13,double_divide(identity,inverse(identity))) = double_divide(X_13,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(identity))),double_divide(X_13,double_divide(identity,inverse(identity)))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_86,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | double_divide(X_13,double_divide(identity,inverse(identity))) = double_divide(X_13,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(identity))),double_divide(X_13,double_divide(identity,inverse(identity)))) )],[refute_0_84,refute_0_85]) ).

cnf(refute_0_87,plain,
    double_divide(X_13,double_divide(identity,inverse(identity))) = double_divide(X_13,identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_83,refute_0_86]) ).

cnf(refute_0_88,plain,
    ( double_divide(X_13,double_divide(identity,inverse(identity))) != double_divide(X_13,identity)
    | double_divide(X_13,identity) != inverse(X_13)
    | double_divide(X_13,double_divide(identity,inverse(identity))) = inverse(X_13) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(X_13,double_divide(identity,inverse(identity))))),bind(Y,$fot(double_divide(X_13,identity))),bind(Z,$fot(inverse(X_13)))]]) ).

cnf(refute_0_89,plain,
    ( double_divide(X_13,identity) != inverse(X_13)
    | double_divide(X_13,double_divide(identity,inverse(identity))) = inverse(X_13) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(identity))),double_divide(X_13,identity)) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    double_divide(X_13,double_divide(identity,inverse(identity))) = inverse(X_13),
    inference(resolve,[$cnf( $equal(double_divide(X_13,identity),inverse(X_13)) )],[refute_0_80,refute_0_89]) ).

cnf(refute_0_91,plain,
    double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)))]]) ).

cnf(refute_0_92,plain,
    ( double_divide(X_13,double_divide(identity,inverse(identity))) != inverse(X_13)
    | double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity))
    | double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity))) ),[1,0],$fot(inverse(X_13))]]) ).

cnf(refute_0_93,plain,
    ( double_divide(X_13,double_divide(identity,inverse(identity))) != inverse(X_13)
    | double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity))) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(X_13)) )],[refute_0_90,refute_0_93]) ).

cnf(refute_0_95,plain,
    ( double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != X_13
    | double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
    | double_divide(inverse(X_13),inverse(identity)) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),X_13) ),[0],$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).

cnf(refute_0_96,plain,
    ( double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != X_13
    | double_divide(inverse(X_13),inverse(identity)) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_94,refute_0_95]) ).

cnf(refute_0_97,plain,
    double_divide(inverse(X_13),inverse(identity)) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),X_13) )],[refute_0_79,refute_0_96]) ).

cnf(refute_0_98,plain,
    double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_97:[bind(X_13,$fot(inverse(identity)))]]) ).

cnf(refute_0_99,plain,
    double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)) = inverse(X_15),
    inference(subst,[],[refute_0_72:[bind(X_10,$fot(identity)),bind(X_11,$fot(inverse(X_15)))]]) ).

cnf(refute_0_100,plain,
    double_divide(inverse(X_15),inverse(identity)) = X_15,
    inference(subst,[],[refute_0_97:[bind(X_13,$fot(X_15))]]) ).

cnf(refute_0_101,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(X_15)
    | double_divide(inverse(X_15),inverse(identity)) != X_15
    | double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = inverse(X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)),inverse(X_15)) ),[0,0,1,0],$fot(X_15)]]) ).

cnf(refute_0_102,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(X_15)
    | double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = inverse(X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),inverse(identity)),X_15) )],[refute_0_100,refute_0_101]) ).

cnf(refute_0_103,plain,
    double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = inverse(X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)),inverse(X_15)) )],[refute_0_99,refute_0_102]) ).

cnf(refute_0_104,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_103:[bind(X_15,$fot(identity))]]) ).

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

cnf(refute_0_106,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
    | double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_83,refute_0_105]) ).

cnf(refute_0_107,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) )],[refute_0_104,refute_0_106]) ).

cnf(refute_0_108,plain,
    double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) = inverse(inverse(X_13)),
    inference(subst,[],[refute_0_103:[bind(X_15,$fot(inverse(X_13)))]]) ).

cnf(refute_0_109,plain,
    ( double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) != inverse(inverse(X_13))
    | double_divide(inverse(X_13),inverse(identity)) != X_13
    | double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)),inverse(inverse(X_13))) ),[0,0,1],$fot(X_13)]]) ).

cnf(refute_0_110,plain,
    ( double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) != inverse(inverse(X_13))
    | double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_97,refute_0_109]) ).

cnf(refute_0_111,plain,
    double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_108,refute_0_110]) ).

cnf(refute_0_112,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_111:[bind(X_13,$fot(identity))]]) ).

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

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

cnf(refute_0_115,plain,
    inverse(inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)) )],[refute_0_107,refute_0_114]) ).

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

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

cnf(refute_0_118,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_98,refute_0_117]) ).

cnf(refute_0_119,plain,
    double_divide(inverse(identity),inverse(identity)) = identity,
    inference(subst,[],[refute_0_97:[bind(X_13,$fot(identity))]]) ).

cnf(refute_0_120,plain,
    ( double_divide(inverse(identity),inverse(identity)) != identity
    | double_divide(inverse(identity),inverse(identity)) != inverse(identity)
    | identity = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),[0],$fot(identity)]]) ).

cnf(refute_0_121,plain,
    ( double_divide(inverse(identity),inverse(identity)) != inverse(identity)
    | identity = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    identity = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) )],[refute_0_118,refute_0_121]) ).

cnf(refute_0_123,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_125,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)))]]) ).

cnf(refute_0_126,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_127,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity))) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_124,refute_0_127]) ).

cnf(refute_0_129,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity))),bind(Z,$fot(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)))]]) ).

cnf(refute_0_130,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity)) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),identity),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) )],[refute_0_48,refute_0_130]) ).

cnf(refute_0_132,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10))]]) ).

cnf(refute_0_133,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)) != X_11
    | multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_35,refute_0_133]) ).

cnf(refute_0_135,plain,
    multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = inverse(double_divide(double_divide(identity,double_divide(X_17,inverse(identity))),inverse(identity))),
    inference(subst,[],[refute_0_39:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(identity,double_divide(X_17,inverse(identity)))))]]) ).

cnf(refute_0_136,plain,
    double_divide(double_divide(identity,double_divide(X_17,inverse(identity))),inverse(identity)) = inverse(X_17),
    inference(subst,[],[refute_0_103:[bind(X_15,$fot(X_17))]]) ).

cnf(refute_0_137,plain,
    ( multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != inverse(double_divide(double_divide(identity,double_divide(X_17,inverse(identity))),inverse(identity)))
    | double_divide(double_divide(identity,double_divide(X_17,inverse(identity))),inverse(identity)) != inverse(X_17)
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = inverse(inverse(X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),inverse(double_divide(double_divide(identity,double_divide(X_17,inverse(identity))),inverse(identity)))) ),[1,0],$fot(inverse(X_17))]]) ).

cnf(refute_0_138,plain,
    ( multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != inverse(double_divide(double_divide(identity,double_divide(X_17,inverse(identity))),inverse(identity)))
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = inverse(inverse(X_17)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_17,inverse(identity))),inverse(identity)),inverse(X_17)) )],[refute_0_136,refute_0_137]) ).

cnf(refute_0_139,plain,
    multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = inverse(inverse(X_17)),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),inverse(double_divide(double_divide(identity,double_divide(X_17,inverse(identity))),inverse(identity)))) )],[refute_0_135,refute_0_138]) ).

cnf(refute_0_140,plain,
    multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
    inference(subst,[],[refute_0_39:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).

cnf(refute_0_141,plain,
    inverse(X_3) = double_divide(X_3,identity),
    inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).

cnf(refute_0_142,plain,
    ( inverse(X_3) != double_divide(X_3,identity)
    | double_divide(X_3,identity) = inverse(X_3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(double_divide(X_3,identity)))]]) ).

cnf(refute_0_143,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_141,refute_0_142]) ).

cnf(refute_0_144,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_145,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_143,refute_0_144]) ).

cnf(refute_0_146,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_140,refute_0_145]) ).

cnf(refute_0_147,plain,
    double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_13)))]]) ).

cnf(refute_0_148,plain,
    double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).

cnf(refute_0_149,plain,
    ( double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
    | inverse(identity) != identity
    | double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_150,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_124,refute_0_150]) ).

cnf(refute_0_152,plain,
    ( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
    | double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),identity)
    | double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(inverse(X_13),inverse(identity)))),bind(Y,$fot(double_divide(inverse(X_13),identity))),bind(Z,$fot(inverse(inverse(X_13))))]]) ).

cnf(refute_0_153,plain,
    ( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
    | double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),identity)) )],[refute_0_151,refute_0_152]) ).

cnf(refute_0_154,plain,
    double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_147,refute_0_153]) ).

cnf(refute_0_155,plain,
    ( double_divide(inverse(X_13),inverse(identity)) != X_13
    | double_divide(inverse(X_13),inverse(identity)) != inverse(inverse(X_13))
    | inverse(inverse(X_13)) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).

cnf(refute_0_156,plain,
    ( double_divide(inverse(X_13),inverse(identity)) != X_13
    | inverse(inverse(X_13)) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    inverse(inverse(X_13)) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_97,refute_0_156]) ).

cnf(refute_0_158,plain,
    inverse(inverse(X_3)) = X_3,
    inference(subst,[],[refute_0_157:[bind(X_13,$fot(X_3))]]) ).

cnf(refute_0_159,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_160,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_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    multiply(identity,X_3) = X_3,
    inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_146,refute_0_160]) ).

cnf(refute_0_162,plain,
    multiply(identity,double_divide(identity,inverse(X_17))) = double_divide(identity,inverse(X_17)),
    inference(subst,[],[refute_0_161:[bind(X_3,$fot(double_divide(identity,inverse(X_17))))]]) ).

cnf(refute_0_163,plain,
    double_divide(X_17,identity) = inverse(X_17),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_17))]]) ).

cnf(refute_0_164,plain,
    double_divide(X_17,inverse(identity)) = double_divide(X_17,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_17,inverse(identity)))]]) ).

cnf(refute_0_165,plain,
    ( double_divide(X_17,inverse(identity)) != double_divide(X_17,inverse(identity))
    | inverse(identity) != identity
    | double_divide(X_17,inverse(identity)) = double_divide(X_17,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,inverse(identity)),double_divide(X_17,inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_166,plain,
    ( inverse(identity) != identity
    | double_divide(X_17,inverse(identity)) = double_divide(X_17,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(identity)),double_divide(X_17,inverse(identity))) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    double_divide(X_17,inverse(identity)) = double_divide(X_17,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_124,refute_0_166]) ).

cnf(refute_0_168,plain,
    ( double_divide(X_17,identity) != inverse(X_17)
    | double_divide(X_17,inverse(identity)) != double_divide(X_17,identity)
    | double_divide(X_17,inverse(identity)) = inverse(X_17) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(X_17,inverse(identity)))),bind(Y,$fot(double_divide(X_17,identity))),bind(Z,$fot(inverse(X_17)))]]) ).

cnf(refute_0_169,plain,
    ( double_divide(X_17,identity) != inverse(X_17)
    | double_divide(X_17,inverse(identity)) = inverse(X_17) ),
    inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(identity)),double_divide(X_17,identity)) )],[refute_0_167,refute_0_168]) ).

cnf(refute_0_170,plain,
    double_divide(X_17,inverse(identity)) = inverse(X_17),
    inference(resolve,[$cnf( $equal(double_divide(X_17,identity),inverse(X_17)) )],[refute_0_163,refute_0_169]) ).

cnf(refute_0_171,plain,
    double_divide(identity,double_divide(X_17,inverse(identity))) = double_divide(identity,double_divide(X_17,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_17,inverse(identity))))]]) ).

cnf(refute_0_172,plain,
    ( double_divide(X_17,inverse(identity)) != inverse(X_17)
    | double_divide(identity,double_divide(X_17,inverse(identity))) != double_divide(identity,double_divide(X_17,inverse(identity)))
    | double_divide(identity,double_divide(X_17,inverse(identity))) = double_divide(identity,inverse(X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(X_17,inverse(identity))),double_divide(identity,double_divide(X_17,inverse(identity)))) ),[1,1],$fot(inverse(X_17))]]) ).

cnf(refute_0_173,plain,
    ( double_divide(X_17,inverse(identity)) != inverse(X_17)
    | double_divide(identity,double_divide(X_17,inverse(identity))) = double_divide(identity,inverse(X_17)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_17,inverse(identity))),double_divide(identity,double_divide(X_17,inverse(identity)))) )],[refute_0_171,refute_0_172]) ).

cnf(refute_0_174,plain,
    double_divide(identity,double_divide(X_17,inverse(identity))) = double_divide(identity,inverse(X_17)),
    inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(identity)),inverse(X_17)) )],[refute_0_170,refute_0_173]) ).

cnf(refute_0_175,plain,
    multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))),
    introduced(tautology,[refl,[$fot(multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))))]]) ).

cnf(refute_0_176,plain,
    ( multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) != multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity))))
    | double_divide(identity,double_divide(X_17,inverse(identity))) != double_divide(identity,inverse(X_17))
    | multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_17))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity))))) ),[1,1],$fot(double_divide(identity,inverse(X_17)))]]) ).

cnf(refute_0_177,plain,
    ( double_divide(identity,double_divide(X_17,inverse(identity))) != double_divide(identity,inverse(X_17))
    | multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_17))) ),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity))))) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_17))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_17,inverse(identity))),double_divide(identity,inverse(X_17))) )],[refute_0_174,refute_0_177]) ).

cnf(refute_0_179,plain,
    multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),
    introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))))]]) ).

cnf(refute_0_180,plain,
    ( multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity))))
    | inverse(identity) != identity
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity))))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_181,plain,
    ( inverse(identity) != identity
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity))))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_124,refute_0_181]) ).

cnf(refute_0_183,plain,
    ( multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_17)))
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity))))
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_17))) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))))),bind(Y,$fot(multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))))),bind(Z,$fot(multiply(identity,double_divide(identity,inverse(X_17)))))]]) ).

cnf(refute_0_184,plain,
    ( multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_17)))
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_17))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity))))) )],[refute_0_182,refute_0_183]) ).

cnf(refute_0_185,plain,
    multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_17))),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(X_17,inverse(identity)))),multiply(identity,double_divide(identity,inverse(X_17)))) )],[refute_0_178,refute_0_184]) ).

cnf(refute_0_186,plain,
    ( multiply(identity,double_divide(identity,inverse(X_17))) != double_divide(identity,inverse(X_17))
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_17)))
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = double_divide(identity,inverse(X_17)) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))))),bind(Y,$fot(multiply(identity,double_divide(identity,inverse(X_17))))),bind(Z,$fot(double_divide(identity,inverse(X_17))))]]) ).

cnf(refute_0_187,plain,
    ( multiply(identity,double_divide(identity,inverse(X_17))) != double_divide(identity,inverse(X_17))
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = double_divide(identity,inverse(X_17)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),multiply(identity,double_divide(identity,inverse(X_17)))) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) = double_divide(identity,inverse(X_17)),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,inverse(X_17))),double_divide(identity,inverse(X_17))) )],[refute_0_162,refute_0_187]) ).

cnf(refute_0_189,plain,
    ( multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != double_divide(identity,inverse(X_17))
    | multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != inverse(inverse(X_17))
    | double_divide(identity,inverse(X_17)) = inverse(inverse(X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),inverse(inverse(X_17))) ),[0],$fot(double_divide(identity,inverse(X_17)))]]) ).

cnf(refute_0_190,plain,
    ( multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != inverse(inverse(X_17))
    | double_divide(identity,inverse(X_17)) = inverse(inverse(X_17)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),double_divide(identity,inverse(X_17))) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    inverse(inverse(X_17)) = X_17,
    inference(subst,[],[refute_0_157:[bind(X_13,$fot(X_17))]]) ).

cnf(refute_0_192,plain,
    ( double_divide(identity,inverse(X_17)) != inverse(inverse(X_17))
    | inverse(inverse(X_17)) != X_17
    | double_divide(identity,inverse(X_17)) = X_17 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(identity,inverse(X_17)),X_17) ),[0],$fot(inverse(inverse(X_17)))]]) ).

cnf(refute_0_193,plain,
    ( double_divide(identity,inverse(X_17)) != inverse(inverse(X_17))
    | double_divide(identity,inverse(X_17)) = X_17 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),X_17) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    ( multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))) != inverse(inverse(X_17))
    | double_divide(identity,inverse(X_17)) = X_17 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_17)),inverse(inverse(X_17))) )],[refute_0_190,refute_0_193]) ).

cnf(refute_0_195,plain,
    double_divide(identity,inverse(X_17)) = X_17,
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_17,inverse(identity)))),inverse(inverse(X_17))) )],[refute_0_139,refute_0_194]) ).

cnf(refute_0_196,plain,
    double_divide(identity,inverse(X_10)) = X_10,
    inference(subst,[],[refute_0_195:[bind(X_17,$fot(X_10))]]) ).

cnf(refute_0_197,plain,
    double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))))]]) ).

cnf(refute_0_198,plain,
    ( double_divide(identity,inverse(X_10)) != X_10
    | double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))
    | double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) ),[1,1],$fot(X_10)]]) ).

cnf(refute_0_199,plain,
    ( double_divide(identity,inverse(X_10)) != X_10
    | double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),double_divide(inverse(X_11),double_divide(identity,inverse(X_10)))) )],[refute_0_197,refute_0_198]) ).

cnf(refute_0_200,plain,
    double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) = double_divide(inverse(X_11),X_10),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_10)),X_10) )],[refute_0_196,refute_0_199]) ).

cnf(refute_0_201,plain,
    multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10))]]) ).

cnf(refute_0_202,plain,
    ( multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) != multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)
    | double_divide(inverse(X_11),double_divide(identity,inverse(X_10))) != double_divide(inverse(X_11),X_10)
    | multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = multiply(double_divide(inverse(X_11),X_10),X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10)) ),[1,0],$fot(double_divide(inverse(X_11),X_10))]]) ).

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

cnf(refute_0_204,plain,
    multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10) = multiply(double_divide(inverse(X_11),X_10),X_10),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),double_divide(inverse(X_11),X_10)) )],[refute_0_200,refute_0_203]) ).

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

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

cnf(refute_0_207,plain,
    multiply(double_divide(inverse(X_11),X_10),X_10) = X_11,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),double_divide(identity,inverse(X_10))),X_10),X_11) )],[refute_0_134,refute_0_206]) ).

cnf(refute_0_208,plain,
    multiply(double_divide(inverse(inverse(X_13)),X_31),X_31) = inverse(X_13),
    inference(subst,[],[refute_0_207:[bind(X_10,$fot(X_31)),bind(X_11,$fot(inverse(X_13)))]]) ).

cnf(refute_0_209,plain,
    ( multiply(double_divide(inverse(inverse(X_13)),X_31),X_31) != inverse(X_13)
    | inverse(inverse(X_13)) != X_13
    | multiply(double_divide(X_13,X_31),X_31) = inverse(X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_31),X_31),inverse(X_13)) ),[0,0,0],$fot(X_13)]]) ).

cnf(refute_0_210,plain,
    ( multiply(double_divide(inverse(inverse(X_13)),X_31),X_31) != inverse(X_13)
    | multiply(double_divide(X_13,X_31),X_31) = inverse(X_13) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_157,refute_0_209]) ).

cnf(refute_0_211,plain,
    multiply(double_divide(X_13,X_31),X_31) = inverse(X_13),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_31),X_31),inverse(X_13)) )],[refute_0_208,refute_0_210]) ).

cnf(refute_0_212,plain,
    multiply(double_divide(X_13,double_divide(X_36,X_13)),double_divide(X_36,X_13)) = inverse(X_13),
    inference(subst,[],[refute_0_211:[bind(X_31,$fot(double_divide(X_36,X_13)))]]) ).

cnf(refute_0_213,plain,
    double_divide(inverse(double_divide(B,A)),inverse(identity)) = double_divide(B,A),
    inference(subst,[],[refute_0_97:[bind(X_13,$fot(double_divide(B,A)))]]) ).

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

cnf(refute_0_215,plain,
    ( double_divide(inverse(double_divide(B,A)),inverse(identity)) != double_divide(B,A)
    | double_divide(multiply(A,B),inverse(identity)) = double_divide(B,A) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_41,refute_0_214]) ).

cnf(refute_0_216,plain,
    double_divide(multiply(A,B),inverse(identity)) = double_divide(B,A),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(identity)),double_divide(B,A)) )],[refute_0_213,refute_0_215]) ).

cnf(refute_0_217,plain,
    double_divide(multiply(A,B),identity) = inverse(multiply(A,B)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(A,B)))]]) ).

cnf(refute_0_218,plain,
    double_divide(multiply(A,B),inverse(identity)) = double_divide(multiply(A,B),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(multiply(A,B),inverse(identity)))]]) ).

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

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

cnf(refute_0_221,plain,
    double_divide(multiply(A,B),inverse(identity)) = double_divide(multiply(A,B),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_124,refute_0_220]) ).

cnf(refute_0_222,plain,
    ( double_divide(multiply(A,B),identity) != inverse(multiply(A,B))
    | double_divide(multiply(A,B),inverse(identity)) != double_divide(multiply(A,B),identity)
    | double_divide(multiply(A,B),inverse(identity)) = inverse(multiply(A,B)) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(multiply(A,B),inverse(identity)))),bind(Y,$fot(double_divide(multiply(A,B),identity))),bind(Z,$fot(inverse(multiply(A,B))))]]) ).

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

cnf(refute_0_224,plain,
    double_divide(multiply(A,B),inverse(identity)) = inverse(multiply(A,B)),
    inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),identity),inverse(multiply(A,B))) )],[refute_0_217,refute_0_223]) ).

cnf(refute_0_225,plain,
    ( double_divide(multiply(A,B),inverse(identity)) != double_divide(B,A)
    | double_divide(multiply(A,B),inverse(identity)) != inverse(multiply(A,B))
    | inverse(multiply(A,B)) = double_divide(B,A) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(identity)),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).

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

cnf(refute_0_227,plain,
    inverse(multiply(A,B)) = double_divide(B,A),
    inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(identity)),double_divide(B,A)) )],[refute_0_216,refute_0_226]) ).

cnf(refute_0_228,plain,
    inverse(multiply(double_divide(X_33,B),B)) = double_divide(B,double_divide(X_33,B)),
    inference(subst,[],[refute_0_227:[bind(A,$fot(double_divide(X_33,B)))]]) ).

cnf(refute_0_229,plain,
    multiply(double_divide(X_33,B),B) = inverse(X_33),
    inference(subst,[],[refute_0_211:[bind(X_13,$fot(X_33)),bind(X_31,$fot(B))]]) ).

cnf(refute_0_230,plain,
    ( multiply(double_divide(X_33,B),B) != inverse(X_33)
    | inverse(multiply(double_divide(X_33,B),B)) != double_divide(B,double_divide(X_33,B))
    | inverse(inverse(X_33)) = double_divide(B,double_divide(X_33,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(X_33,B),B)),double_divide(B,double_divide(X_33,B))) ),[0,0],$fot(inverse(X_33))]]) ).

cnf(refute_0_231,plain,
    ( inverse(multiply(double_divide(X_33,B),B)) != double_divide(B,double_divide(X_33,B))
    | inverse(inverse(X_33)) = double_divide(B,double_divide(X_33,B)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_33,B),B),inverse(X_33)) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    inverse(inverse(X_33)) = double_divide(B,double_divide(X_33,B)),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_33,B),B)),double_divide(B,double_divide(X_33,B))) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    inverse(inverse(X_33)) = X_33,
    inference(subst,[],[refute_0_157:[bind(X_13,$fot(X_33))]]) ).

cnf(refute_0_234,plain,
    ( inverse(inverse(X_33)) != X_33
    | inverse(inverse(X_33)) != double_divide(B,double_divide(X_33,B))
    | X_33 = double_divide(B,double_divide(X_33,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_33)),double_divide(B,double_divide(X_33,B))) ),[0],$fot(X_33)]]) ).

cnf(refute_0_235,plain,
    ( inverse(inverse(X_33)) != double_divide(B,double_divide(X_33,B))
    | X_33 = double_divide(B,double_divide(X_33,B)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_33)),X_33) )],[refute_0_233,refute_0_234]) ).

cnf(refute_0_236,plain,
    X_33 = double_divide(B,double_divide(X_33,B)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_33)),double_divide(B,double_divide(X_33,B))) )],[refute_0_232,refute_0_235]) ).

cnf(refute_0_237,plain,
    X_36 = double_divide(X_13,double_divide(X_36,X_13)),
    inference(subst,[],[refute_0_236:[bind(B,$fot(X_13)),bind(X_33,$fot(X_36))]]) ).

cnf(refute_0_238,plain,
    ( X_36 != double_divide(X_13,double_divide(X_36,X_13))
    | double_divide(X_13,double_divide(X_36,X_13)) = X_36 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_36)),bind(Y,$fot(double_divide(X_13,double_divide(X_36,X_13))))]]) ).

cnf(refute_0_239,plain,
    double_divide(X_13,double_divide(X_36,X_13)) = X_36,
    inference(resolve,[$cnf( $equal(X_36,double_divide(X_13,double_divide(X_36,X_13))) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    ( multiply(double_divide(X_13,double_divide(X_36,X_13)),double_divide(X_36,X_13)) != inverse(X_13)
    | double_divide(X_13,double_divide(X_36,X_13)) != X_36
    | multiply(X_36,double_divide(X_36,X_13)) = inverse(X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_13,double_divide(X_36,X_13)),double_divide(X_36,X_13)),inverse(X_13)) ),[0,0],$fot(X_36)]]) ).

cnf(refute_0_241,plain,
    ( multiply(double_divide(X_13,double_divide(X_36,X_13)),double_divide(X_36,X_13)) != inverse(X_13)
    | multiply(X_36,double_divide(X_36,X_13)) = inverse(X_13) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(X_36,X_13)),X_36) )],[refute_0_239,refute_0_240]) ).

cnf(refute_0_242,plain,
    multiply(X_36,double_divide(X_36,X_13)) = inverse(X_13),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,double_divide(X_36,X_13)),double_divide(X_36,X_13)),inverse(X_13)) )],[refute_0_212,refute_0_241]) ).

cnf(refute_0_243,plain,
    multiply(X_36,double_divide(X_36,double_divide(X_36,X_113))) = inverse(double_divide(X_36,X_113)),
    inference(subst,[],[refute_0_242:[bind(X_13,$fot(double_divide(X_36,X_113)))]]) ).

cnf(refute_0_244,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
    inference(subst,[],[refute_0_72:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))))]]) ).

cnf(refute_0_245,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) != B
    | double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
    | double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[0,0,1,0],$fot(B)]]) ).

cnf(refute_0_246,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
    | double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),B) )],[refute_0_12,refute_0_245]) ).

cnf(refute_0_247,plain,
    double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_244,refute_0_246]) ).

cnf(refute_0_248,plain,
    double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = inverse(B),
    inference(subst,[],[refute_0_103:[bind(X_15,$fot(B))]]) ).

cnf(refute_0_249,plain,
    ( double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
    | double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != inverse(B)
    | inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[0],$fot(inverse(B))]]) ).

cnf(refute_0_250,plain,
    ( double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
    | inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),inverse(B)) )],[refute_0_248,refute_0_249]) ).

cnf(refute_0_251,plain,
    inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_247,refute_0_250]) ).

cnf(refute_0_252,plain,
    inverse(multiply(X_28,identity)) = double_divide(identity,X_28),
    inference(subst,[],[refute_0_227:[bind(A,$fot(X_28)),bind(B,$fot(identity))]]) ).

cnf(refute_0_253,plain,
    inverse(double_divide(identity,X_13)) = multiply(X_13,identity),
    inference(subst,[],[refute_0_41:[bind(A,$fot(X_13)),bind(B,$fot(identity))]]) ).

cnf(refute_0_254,plain,
    double_divide(double_divide(identity,X_13),identity) = inverse(double_divide(identity,X_13)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,X_13)))]]) ).

cnf(refute_0_255,plain,
    ( double_divide(double_divide(identity,X_13),identity) != inverse(double_divide(identity,X_13))
    | inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Y,$fot(inverse(double_divide(identity,X_13)))),bind(Z,$fot(multiply(X_13,identity)))]]) ).

cnf(refute_0_256,plain,
    ( inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),inverse(double_divide(identity,X_13))) )],[refute_0_254,refute_0_255]) ).

cnf(refute_0_257,plain,
    double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_13)),multiply(X_13,identity)) )],[refute_0_253,refute_0_256]) ).

cnf(refute_0_258,plain,
    double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_13),inverse(identity)))]]) ).

cnf(refute_0_259,plain,
    ( double_divide(double_divide(identity,X_13),inverse(identity)) != double_divide(double_divide(identity,X_13),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_260,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),inverse(identity))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_124,refute_0_260]) ).

cnf(refute_0_262,plain,
    ( double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),inverse(identity)) != double_divide(double_divide(identity,X_13),identity)
    | double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(identity,X_13),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Z,$fot(multiply(X_13,identity)))]]) ).

cnf(refute_0_263,plain,
    ( double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),identity)) )],[refute_0_261,refute_0_262]) ).

cnf(refute_0_264,plain,
    double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),multiply(X_13,identity)) )],[refute_0_257,refute_0_263]) ).

cnf(refute_0_265,plain,
    ( double_divide(double_divide(identity,X_13),inverse(identity)) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
    | multiply(X_13,identity) = inverse(inverse(X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),inverse(inverse(X_13))) ),[0],$fot(multiply(X_13,identity))]]) ).

cnf(refute_0_266,plain,
    ( double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
    | multiply(X_13,identity) = inverse(inverse(X_13)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),multiply(X_13,identity)) )],[refute_0_264,refute_0_265]) ).

cnf(refute_0_267,plain,
    ( multiply(X_13,identity) != inverse(inverse(X_13))
    | inverse(inverse(X_13)) != X_13
    | multiply(X_13,identity) = X_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,identity),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).

cnf(refute_0_268,plain,
    ( multiply(X_13,identity) != inverse(inverse(X_13))
    | multiply(X_13,identity) = X_13 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_157,refute_0_267]) ).

cnf(refute_0_269,plain,
    ( double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
    | multiply(X_13,identity) = X_13 ),
    inference(resolve,[$cnf( $equal(multiply(X_13,identity),inverse(inverse(X_13))) )],[refute_0_266,refute_0_268]) ).

cnf(refute_0_270,plain,
    multiply(X_13,identity) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_111,refute_0_269]) ).

cnf(refute_0_271,plain,
    multiply(X_28,identity) = X_28,
    inference(subst,[],[refute_0_270:[bind(X_13,$fot(X_28))]]) ).

cnf(refute_0_272,plain,
    ( multiply(X_28,identity) != X_28
    | inverse(multiply(X_28,identity)) != double_divide(identity,X_28)
    | inverse(X_28) = double_divide(identity,X_28) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_28,identity)),double_divide(identity,X_28)) ),[0,0],$fot(X_28)]]) ).

cnf(refute_0_273,plain,
    ( inverse(multiply(X_28,identity)) != double_divide(identity,X_28)
    | inverse(X_28) = double_divide(identity,X_28) ),
    inference(resolve,[$cnf( $equal(multiply(X_28,identity),X_28) )],[refute_0_271,refute_0_272]) ).

cnf(refute_0_274,plain,
    inverse(X_28) = double_divide(identity,X_28),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_28,identity)),double_divide(identity,X_28)) )],[refute_0_252,refute_0_273]) ).

cnf(refute_0_275,plain,
    ( inverse(X_28) != double_divide(identity,X_28)
    | double_divide(identity,X_28) = inverse(X_28) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_28))),bind(Y,$fot(double_divide(identity,X_28)))]]) ).

cnf(refute_0_276,plain,
    double_divide(identity,X_28) = inverse(X_28),
    inference(resolve,[$cnf( $equal(inverse(X_28),double_divide(identity,X_28)) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    double_divide(identity,C) = inverse(C),
    inference(subst,[],[refute_0_276:[bind(X_28,$fot(C))]]) ).

cnf(refute_0_278,plain,
    double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) = double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))]]) ).

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

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

cnf(refute_0_281,plain,
    double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)),
    inference(resolve,[$cnf( $equal(double_divide(identity,C),inverse(C)) )],[refute_0_277,refute_0_280]) ).

cnf(refute_0_282,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
    introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))))]]) ).

cnf(refute_0_283,plain,
    ( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
    | double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) != double_divide(double_divide(B,double_divide(A,C)),inverse(C))
    | double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[1,1],$fot(double_divide(double_divide(B,double_divide(A,C)),inverse(C)))]]) ).

cnf(refute_0_284,plain,
    ( double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) != double_divide(double_divide(B,double_divide(A,C)),inverse(C))
    | double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_282,refute_0_283]) ).

cnf(refute_0_285,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)),double_divide(double_divide(B,double_divide(A,C)),inverse(C))) )],[refute_0_281,refute_0_284]) ).

cnf(refute_0_286,plain,
    ( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
    | inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
    | inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[1],$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))))]]) ).

cnf(refute_0_287,plain,
    ( inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
    | inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
    inference(resolve,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_251,refute_0_287]) ).

cnf(refute_0_289,plain,
    inverse(double_divide(B,double_divide(A,C))) = multiply(double_divide(A,C),B),
    inference(subst,[],[refute_0_41:[bind(A,$fot(double_divide(A,C)))]]) ).

cnf(refute_0_290,plain,
    multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,inverse(double_divide(B,double_divide(A,C)))),
    introduced(tautology,[refl,[$fot(multiply(C,inverse(double_divide(B,double_divide(A,C)))))]]) ).

cnf(refute_0_291,plain,
    ( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,inverse(double_divide(B,double_divide(A,C))))
    | inverse(double_divide(B,double_divide(A,C))) != multiply(double_divide(A,C),B)
    | multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,inverse(double_divide(B,double_divide(A,C))))) ),[1,1],$fot(multiply(double_divide(A,C),B))]]) ).

cnf(refute_0_292,plain,
    ( inverse(double_divide(B,double_divide(A,C))) != multiply(double_divide(A,C),B)
    | multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)) ),
    inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,inverse(double_divide(B,double_divide(A,C))))) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(B,double_divide(A,C))),multiply(double_divide(A,C),B)) )],[refute_0_289,refute_0_292]) ).

cnf(refute_0_294,plain,
    multiply(A,inverse(X_41)) = inverse(double_divide(inverse(X_41),A)),
    inference(subst,[],[refute_0_39:[bind(B,$fot(inverse(X_41)))]]) ).

cnf(refute_0_295,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) = X_11,
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(inverse(identity)))]]) ).

cnf(refute_0_296,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != X_11
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(identity)]]) ).

cnf(refute_0_297,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_83,refute_0_296]) ).

cnf(refute_0_298,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),X_11) )],[refute_0_295,refute_0_297]) ).

cnf(refute_0_299,plain,
    inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) = multiply(double_divide(X_10,inverse(identity)),X_11),
    inference(subst,[],[refute_0_41:[bind(A,$fot(double_divide(X_10,inverse(identity)))),bind(B,$fot(X_11))]]) ).

cnf(refute_0_300,plain,
    double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_11,double_divide(X_10,inverse(identity)))))]]) ).

cnf(refute_0_301,plain,
    ( double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) != inverse(double_divide(X_11,double_divide(X_10,inverse(identity))))
    | inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) != multiply(double_divide(X_10,inverse(identity)),X_11)
    | double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))),bind(Y,$fot(inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))))),bind(Z,$fot(multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).

cnf(refute_0_302,plain,
    ( inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) != multiply(double_divide(X_10,inverse(identity)),X_11)
    | double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity),inverse(double_divide(X_11,double_divide(X_10,inverse(identity))))) )],[refute_0_300,refute_0_301]) ).

cnf(refute_0_303,plain,
    double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))),multiply(double_divide(X_10,inverse(identity)),X_11)) )],[refute_0_299,refute_0_302]) ).

cnf(refute_0_304,plain,
    double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)))]]) ).

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

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

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

cnf(refute_0_308,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)))]]) ).

cnf(refute_0_309,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))) ),[1,0],$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).

cnf(refute_0_310,plain,
    ( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_307,refute_0_310]) ).

cnf(refute_0_312,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)))]]) ).

cnf(refute_0_313,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),X_11) )],[refute_0_298,refute_0_313]) ).

cnf(refute_0_315,plain,
    inverse(double_divide(X_10,multiply(inverse(X_10),X_11))) = multiply(multiply(inverse(X_10),X_11),X_10),
    inference(subst,[],[refute_0_41:[bind(A,$fot(multiply(inverse(X_10),X_11))),bind(B,$fot(X_10))]]) ).

cnf(refute_0_316,plain,
    double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) = inverse(double_divide(X_10,multiply(inverse(X_10),X_11))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,multiply(inverse(X_10),X_11))))]]) ).

cnf(refute_0_317,plain,
    ( double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) != inverse(double_divide(X_10,multiply(inverse(X_10),X_11)))
    | inverse(double_divide(X_10,multiply(inverse(X_10),X_11))) != multiply(multiply(inverse(X_10),X_11),X_10)
    | double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) = multiply(multiply(inverse(X_10),X_11),X_10) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity))),bind(Y,$fot(inverse(double_divide(X_10,multiply(inverse(X_10),X_11))))),bind(Z,$fot(multiply(multiply(inverse(X_10),X_11),X_10)))]]) ).

cnf(refute_0_318,plain,
    ( inverse(double_divide(X_10,multiply(inverse(X_10),X_11))) != multiply(multiply(inverse(X_10),X_11),X_10)
    | double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) = multiply(multiply(inverse(X_10),X_11),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity),inverse(double_divide(X_10,multiply(inverse(X_10),X_11)))) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) = multiply(multiply(inverse(X_10),X_11),X_10),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,multiply(inverse(X_10),X_11))),multiply(multiply(inverse(X_10),X_11),X_10)) )],[refute_0_315,refute_0_318]) ).

cnf(refute_0_320,plain,
    double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)))]]) ).

cnf(refute_0_321,plain,
    ( double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) != double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)),double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_322,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)),double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity))) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_124,refute_0_322]) ).

cnf(refute_0_324,plain,
    double_divide(X_10,inverse(identity)) = double_divide(X_10,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(identity)))]]) ).

cnf(refute_0_325,plain,
    ( double_divide(X_10,inverse(identity)) != double_divide(X_10,inverse(identity))
    | inverse(identity) != identity
    | double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) ),[1,1],$fot(identity)]]) ).

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

cnf(refute_0_327,plain,
    double_divide(X_10,inverse(identity)) = double_divide(X_10,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_124,refute_0_326]) ).

cnf(refute_0_328,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_10,inverse(identity)) != double_divide(X_10,identity)
    | double_divide(X_10,inverse(identity)) = inverse(X_10) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(X_10,inverse(identity)))),bind(Y,$fot(double_divide(X_10,identity))),bind(Z,$fot(inverse(X_10)))]]) ).

cnf(refute_0_329,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_10,inverse(identity)) = inverse(X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,identity)) )],[refute_0_327,refute_0_328]) ).

cnf(refute_0_330,plain,
    double_divide(X_10,inverse(identity)) = inverse(X_10),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_53,refute_0_329]) ).

cnf(refute_0_331,plain,
    multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(double_divide(X_10,inverse(identity)),X_11),
    introduced(tautology,[refl,[$fot(multiply(double_divide(X_10,inverse(identity)),X_11))]]) ).

cnf(refute_0_332,plain,
    ( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(double_divide(X_10,inverse(identity)),X_11)
    | double_divide(X_10,inverse(identity)) != inverse(X_10)
    | multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(double_divide(X_10,inverse(identity)),X_11)) ),[1,0],$fot(inverse(X_10))]]) ).

cnf(refute_0_333,plain,
    ( double_divide(X_10,inverse(identity)) != inverse(X_10)
    | multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(double_divide(X_10,inverse(identity)),X_11)) )],[refute_0_331,refute_0_332]) ).

cnf(refute_0_334,plain,
    multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),inverse(X_10)) )],[refute_0_330,refute_0_333]) ).

cnf(refute_0_335,plain,
    double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
    introduced(tautology,[refl,[$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).

cnf(refute_0_336,plain,
    ( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(inverse(X_10),X_11)
    | double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
    | double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[1,1],$fot(multiply(inverse(X_10),X_11))]]) ).

cnf(refute_0_337,plain,
    ( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(inverse(X_10),X_11)
    | double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(inverse(X_10),X_11)) )],[refute_0_334,refute_0_337]) ).

cnf(refute_0_339,plain,
    double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)))]]) ).

cnf(refute_0_340,plain,
    ( double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) != double_divide(X_10,multiply(inverse(X_10),X_11))
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) != double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))) ),[1,0],$fot(double_divide(X_10,multiply(inverse(X_10),X_11)))]]) ).

cnf(refute_0_341,plain,
    ( double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) != double_divide(X_10,multiply(inverse(X_10),X_11))
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(inverse(X_10),X_11))) )],[refute_0_338,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) != double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity))
    | double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) != double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity)
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity)))]]) ).

cnf(refute_0_344,plain,
    ( double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)) != double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity)
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity))) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),inverse(identity)),double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity)) )],[refute_0_323,refute_0_344]) ).

cnf(refute_0_346,plain,
    ( double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) != double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity)
    | double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) != multiply(multiply(inverse(X_10),X_11),X_10)
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = multiply(multiply(inverse(X_10),X_11),X_10) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity))),bind(Z,$fot(multiply(multiply(inverse(X_10),X_11),X_10)))]]) ).

cnf(refute_0_347,plain,
    ( double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity) != multiply(multiply(inverse(X_10),X_11),X_10)
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = multiply(multiply(inverse(X_10),X_11),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity)) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = multiply(multiply(inverse(X_10),X_11),X_10),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(inverse(X_10),X_11)),identity),multiply(multiply(inverse(X_10),X_11),X_10)) )],[refute_0_319,refute_0_347]) ).

cnf(refute_0_349,plain,
    ( double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) != X_11
    | double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) != multiply(multiply(inverse(X_10),X_11),X_10)
    | multiply(multiply(inverse(X_10),X_11),X_10) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),X_11) ),[0],$fot(multiply(multiply(inverse(X_10),X_11),X_10))]]) ).

cnf(refute_0_350,plain,
    ( double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) != X_11
    | multiply(multiply(inverse(X_10),X_11),X_10) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),multiply(multiply(inverse(X_10),X_11),X_10)) )],[refute_0_348,refute_0_349]) ).

cnf(refute_0_351,plain,
    multiply(multiply(inverse(X_10),X_11),X_10) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),X_11) )],[refute_0_314,refute_0_350]) ).

cnf(refute_0_352,plain,
    multiply(multiply(inverse(X_10),double_divide(inverse(X_10),X_39)),X_10) = double_divide(inverse(X_10),X_39),
    inference(subst,[],[refute_0_351:[bind(X_11,$fot(double_divide(inverse(X_10),X_39)))]]) ).

cnf(refute_0_353,plain,
    multiply(inverse(X_10),double_divide(inverse(X_10),X_39)) = inverse(X_39),
    inference(subst,[],[refute_0_242:[bind(X_13,$fot(X_39)),bind(X_36,$fot(inverse(X_10)))]]) ).

cnf(refute_0_354,plain,
    ( multiply(multiply(inverse(X_10),double_divide(inverse(X_10),X_39)),X_10) != double_divide(inverse(X_10),X_39)
    | multiply(inverse(X_10),double_divide(inverse(X_10),X_39)) != inverse(X_39)
    | multiply(inverse(X_39),X_10) = double_divide(inverse(X_10),X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_10),double_divide(inverse(X_10),X_39)),X_10),double_divide(inverse(X_10),X_39)) ),[0,0],$fot(inverse(X_39))]]) ).

cnf(refute_0_355,plain,
    ( multiply(multiply(inverse(X_10),double_divide(inverse(X_10),X_39)),X_10) != double_divide(inverse(X_10),X_39)
    | multiply(inverse(X_39),X_10) = double_divide(inverse(X_10),X_39) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_10),double_divide(inverse(X_10),X_39)),inverse(X_39)) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    multiply(inverse(X_39),X_10) = double_divide(inverse(X_10),X_39),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),double_divide(inverse(X_10),X_39)),X_10),double_divide(inverse(X_10),X_39)) )],[refute_0_352,refute_0_355]) ).

cnf(refute_0_357,plain,
    multiply(inverse(A),X_41) = double_divide(inverse(X_41),A),
    inference(subst,[],[refute_0_356:[bind(X_10,$fot(X_41)),bind(X_39,$fot(A))]]) ).

cnf(refute_0_358,plain,
    ( multiply(inverse(A),X_41) != double_divide(inverse(X_41),A)
    | double_divide(inverse(X_41),A) = multiply(inverse(A),X_41) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(A),X_41))),bind(Y,$fot(double_divide(inverse(X_41),A)))]]) ).

cnf(refute_0_359,plain,
    double_divide(inverse(X_41),A) = multiply(inverse(A),X_41),
    inference(resolve,[$cnf( $equal(multiply(inverse(A),X_41),double_divide(inverse(X_41),A)) )],[refute_0_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    ( multiply(A,inverse(X_41)) != inverse(double_divide(inverse(X_41),A))
    | double_divide(inverse(X_41),A) != multiply(inverse(A),X_41)
    | multiply(A,inverse(X_41)) = inverse(multiply(inverse(A),X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(X_41)),inverse(double_divide(inverse(X_41),A))) ),[1,0],$fot(multiply(inverse(A),X_41))]]) ).

cnf(refute_0_361,plain,
    ( multiply(A,inverse(X_41)) != inverse(double_divide(inverse(X_41),A))
    | multiply(A,inverse(X_41)) = inverse(multiply(inverse(A),X_41)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_41),A),multiply(inverse(A),X_41)) )],[refute_0_359,refute_0_360]) ).

cnf(refute_0_362,plain,
    multiply(A,inverse(X_41)) = inverse(multiply(inverse(A),X_41)),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(X_41)),inverse(double_divide(inverse(X_41),A))) )],[refute_0_294,refute_0_361]) ).

cnf(refute_0_363,plain,
    inverse(multiply(inverse(A),X_41)) = double_divide(X_41,inverse(A)),
    inference(subst,[],[refute_0_227:[bind(A,$fot(inverse(A))),bind(B,$fot(X_41))]]) ).

cnf(refute_0_364,plain,
    ( multiply(A,inverse(X_41)) != inverse(multiply(inverse(A),X_41))
    | inverse(multiply(inverse(A),X_41)) != double_divide(X_41,inverse(A))
    | multiply(A,inverse(X_41)) = double_divide(X_41,inverse(A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,inverse(X_41)),double_divide(X_41,inverse(A))) ),[0],$fot(inverse(multiply(inverse(A),X_41)))]]) ).

cnf(refute_0_365,plain,
    ( multiply(A,inverse(X_41)) != inverse(multiply(inverse(A),X_41))
    | multiply(A,inverse(X_41)) = double_divide(X_41,inverse(A)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(A),X_41)),double_divide(X_41,inverse(A))) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    multiply(A,inverse(X_41)) = double_divide(X_41,inverse(A)),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(X_41)),inverse(multiply(inverse(A),X_41))) )],[refute_0_362,refute_0_365]) ).

cnf(refute_0_367,plain,
    ( multiply(A,inverse(X_41)) != double_divide(X_41,inverse(A))
    | double_divide(X_41,inverse(A)) = multiply(A,inverse(X_41)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,inverse(X_41)))),bind(Y,$fot(double_divide(X_41,inverse(A))))]]) ).

cnf(refute_0_368,plain,
    double_divide(X_41,inverse(A)) = multiply(A,inverse(X_41)),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(X_41)),double_divide(X_41,inverse(A))) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,inverse(double_divide(B,double_divide(A,C)))),
    inference(subst,[],[refute_0_368:[bind(A,$fot(C)),bind(X_41,$fot(double_divide(B,double_divide(A,C))))]]) ).

cnf(refute_0_370,plain,
    ( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,multiply(double_divide(A,C),B))
    | double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,inverse(double_divide(B,double_divide(A,C))))
    | double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(double_divide(B,double_divide(A,C)),inverse(C)))),bind(Y,$fot(multiply(C,inverse(double_divide(B,double_divide(A,C)))))),bind(Z,$fot(multiply(C,multiply(double_divide(A,C),B))))]]) ).

cnf(refute_0_371,plain,
    ( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,multiply(double_divide(A,C),B))
    | double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),inverse(C)),multiply(C,inverse(double_divide(B,double_divide(A,C))))) )],[refute_0_369,refute_0_370]) ).

cnf(refute_0_372,plain,
    double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)),
    inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,multiply(double_divide(A,C),B))) )],[refute_0_293,refute_0_371]) ).

cnf(refute_0_373,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
    introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))))]]) ).

cnf(refute_0_374,plain,
    ( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
    | double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,multiply(double_divide(A,C),B))
    | double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) ),[1,1],$fot(multiply(C,multiply(double_divide(A,C),B)))]]) ).

cnf(refute_0_375,plain,
    ( double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,multiply(double_divide(A,C),B))
    | double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),inverse(C)),multiply(C,multiply(double_divide(A,C),B))) )],[refute_0_372,refute_0_375]) ).

cnf(refute_0_377,plain,
    ( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) != double_divide(A,multiply(C,multiply(double_divide(A,C),B)))
    | inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
    | inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) ),[1],$fot(double_divide(A,multiply(C,multiply(double_divide(A,C),B))))]]) ).

cnf(refute_0_378,plain,
    ( inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
    | inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,multiply(C,multiply(double_divide(A,C),B)))) )],[refute_0_376,refute_0_377]) ).

cnf(refute_0_379,plain,
    inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))),
    inference(resolve,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_288,refute_0_378]) ).

cnf(refute_0_380,plain,
    inverse(inverse(X_111)) = double_divide(X_109,multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111)))),
    inference(subst,[],[refute_0_379:[bind(A,$fot(X_109)),bind(B,$fot(inverse(X_111))),bind(C,$fot(X_111))]]) ).

cnf(refute_0_381,plain,
    X_33 = double_divide(double_divide(X_36,X_33),double_divide(X_33,double_divide(X_36,X_33))),
    inference(subst,[],[refute_0_236:[bind(B,$fot(double_divide(X_36,X_33)))]]) ).

cnf(refute_0_382,plain,
    X_36 = double_divide(X_33,double_divide(X_36,X_33)),
    inference(subst,[],[refute_0_236:[bind(B,$fot(X_33)),bind(X_33,$fot(X_36))]]) ).

cnf(refute_0_383,plain,
    ( X_36 != double_divide(X_33,double_divide(X_36,X_33))
    | double_divide(X_33,double_divide(X_36,X_33)) = X_36 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_36)),bind(Y,$fot(double_divide(X_33,double_divide(X_36,X_33))))]]) ).

cnf(refute_0_384,plain,
    double_divide(X_33,double_divide(X_36,X_33)) = X_36,
    inference(resolve,[$cnf( $equal(X_36,double_divide(X_33,double_divide(X_36,X_33))) )],[refute_0_382,refute_0_383]) ).

cnf(refute_0_385,plain,
    ( X_33 != double_divide(double_divide(X_36,X_33),double_divide(X_33,double_divide(X_36,X_33)))
    | double_divide(X_33,double_divide(X_36,X_33)) != X_36
    | X_33 = double_divide(double_divide(X_36,X_33),X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(X_33,double_divide(double_divide(X_36,X_33),double_divide(X_33,double_divide(X_36,X_33)))) ),[1,1],$fot(X_36)]]) ).

cnf(refute_0_386,plain,
    ( X_33 != double_divide(double_divide(X_36,X_33),double_divide(X_33,double_divide(X_36,X_33)))
    | X_33 = double_divide(double_divide(X_36,X_33),X_36) ),
    inference(resolve,[$cnf( $equal(double_divide(X_33,double_divide(X_36,X_33)),X_36) )],[refute_0_384,refute_0_385]) ).

cnf(refute_0_387,plain,
    X_33 = double_divide(double_divide(X_36,X_33),X_36),
    inference(resolve,[$cnf( $equal(X_33,double_divide(double_divide(X_36,X_33),double_divide(X_33,double_divide(X_36,X_33)))) )],[refute_0_381,refute_0_386]) ).

cnf(refute_0_388,plain,
    X_33 = double_divide(double_divide(inverse(X_41),X_33),inverse(X_41)),
    inference(subst,[],[refute_0_387:[bind(X_36,$fot(inverse(X_41)))]]) ).

cnf(refute_0_389,plain,
    multiply(inverse(X_33),X_41) = double_divide(inverse(X_41),X_33),
    inference(subst,[],[refute_0_356:[bind(X_10,$fot(X_41)),bind(X_39,$fot(X_33))]]) ).

cnf(refute_0_390,plain,
    ( multiply(inverse(X_33),X_41) != double_divide(inverse(X_41),X_33)
    | double_divide(inverse(X_41),X_33) = multiply(inverse(X_33),X_41) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_33),X_41))),bind(Y,$fot(double_divide(inverse(X_41),X_33)))]]) ).

cnf(refute_0_391,plain,
    double_divide(inverse(X_41),X_33) = multiply(inverse(X_33),X_41),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_33),X_41),double_divide(inverse(X_41),X_33)) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    ( X_33 != double_divide(double_divide(inverse(X_41),X_33),inverse(X_41))
    | double_divide(inverse(X_41),X_33) != multiply(inverse(X_33),X_41)
    | X_33 = double_divide(multiply(inverse(X_33),X_41),inverse(X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_33,double_divide(double_divide(inverse(X_41),X_33),inverse(X_41))) ),[1,0],$fot(multiply(inverse(X_33),X_41))]]) ).

cnf(refute_0_393,plain,
    ( X_33 != double_divide(double_divide(inverse(X_41),X_33),inverse(X_41))
    | X_33 = double_divide(multiply(inverse(X_33),X_41),inverse(X_41)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_41),X_33),multiply(inverse(X_33),X_41)) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    X_33 = double_divide(multiply(inverse(X_33),X_41),inverse(X_41)),
    inference(resolve,[$cnf( $equal(X_33,double_divide(double_divide(inverse(X_41),X_33),inverse(X_41))) )],[refute_0_388,refute_0_393]) ).

cnf(refute_0_395,plain,
    double_divide(X_41,inverse(X_33)) = multiply(X_33,inverse(X_41)),
    inference(subst,[],[refute_0_368:[bind(A,$fot(X_33))]]) ).

cnf(refute_0_396,plain,
    inverse(multiply(inverse(X_33),X_41)) = double_divide(X_41,inverse(X_33)),
    inference(subst,[],[refute_0_227:[bind(A,$fot(inverse(X_33))),bind(B,$fot(X_41))]]) ).

cnf(refute_0_397,plain,
    ( double_divide(X_41,inverse(X_33)) != multiply(X_33,inverse(X_41))
    | inverse(multiply(inverse(X_33),X_41)) != double_divide(X_41,inverse(X_33))
    | inverse(multiply(inverse(X_33),X_41)) = multiply(X_33,inverse(X_41)) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(inverse(multiply(inverse(X_33),X_41)))),bind(Y,$fot(double_divide(X_41,inverse(X_33)))),bind(Z,$fot(multiply(X_33,inverse(X_41))))]]) ).

cnf(refute_0_398,plain,
    ( double_divide(X_41,inverse(X_33)) != multiply(X_33,inverse(X_41))
    | inverse(multiply(inverse(X_33),X_41)) = multiply(X_33,inverse(X_41)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_33),X_41)),double_divide(X_41,inverse(X_33))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    inverse(multiply(inverse(X_33),X_41)) = multiply(X_33,inverse(X_41)),
    inference(resolve,[$cnf( $equal(double_divide(X_41,inverse(X_33)),multiply(X_33,inverse(X_41))) )],[refute_0_395,refute_0_398]) ).

cnf(refute_0_400,plain,
    multiply(X_41,inverse(multiply(inverse(X_33),X_41))) = multiply(X_41,inverse(multiply(inverse(X_33),X_41))),
    introduced(tautology,[refl,[$fot(multiply(X_41,inverse(multiply(inverse(X_33),X_41))))]]) ).

cnf(refute_0_401,plain,
    ( multiply(X_41,inverse(multiply(inverse(X_33),X_41))) != multiply(X_41,inverse(multiply(inverse(X_33),X_41)))
    | inverse(multiply(inverse(X_33),X_41)) != multiply(X_33,inverse(X_41))
    | multiply(X_41,inverse(multiply(inverse(X_33),X_41))) = multiply(X_41,multiply(X_33,inverse(X_41))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_41,inverse(multiply(inverse(X_33),X_41))),multiply(X_41,inverse(multiply(inverse(X_33),X_41)))) ),[1,1],$fot(multiply(X_33,inverse(X_41)))]]) ).

cnf(refute_0_402,plain,
    ( inverse(multiply(inverse(X_33),X_41)) != multiply(X_33,inverse(X_41))
    | multiply(X_41,inverse(multiply(inverse(X_33),X_41))) = multiply(X_41,multiply(X_33,inverse(X_41))) ),
    inference(resolve,[$cnf( $equal(multiply(X_41,inverse(multiply(inverse(X_33),X_41))),multiply(X_41,inverse(multiply(inverse(X_33),X_41)))) )],[refute_0_400,refute_0_401]) ).

cnf(refute_0_403,plain,
    multiply(X_41,inverse(multiply(inverse(X_33),X_41))) = multiply(X_41,multiply(X_33,inverse(X_41))),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_33),X_41)),multiply(X_33,inverse(X_41))) )],[refute_0_399,refute_0_402]) ).

cnf(refute_0_404,plain,
    double_divide(multiply(inverse(X_33),X_41),inverse(X_41)) = multiply(X_41,inverse(multiply(inverse(X_33),X_41))),
    inference(subst,[],[refute_0_368:[bind(A,$fot(X_41)),bind(X_41,$fot(multiply(inverse(X_33),X_41)))]]) ).

cnf(refute_0_405,plain,
    ( multiply(X_41,inverse(multiply(inverse(X_33),X_41))) != multiply(X_41,multiply(X_33,inverse(X_41)))
    | double_divide(multiply(inverse(X_33),X_41),inverse(X_41)) != multiply(X_41,inverse(multiply(inverse(X_33),X_41)))
    | double_divide(multiply(inverse(X_33),X_41),inverse(X_41)) = multiply(X_41,multiply(X_33,inverse(X_41))) ),
    inference(subst,[],[refute_0_45:[bind(X,$fot(double_divide(multiply(inverse(X_33),X_41),inverse(X_41)))),bind(Y,$fot(multiply(X_41,inverse(multiply(inverse(X_33),X_41))))),bind(Z,$fot(multiply(X_41,multiply(X_33,inverse(X_41)))))]]) ).

cnf(refute_0_406,plain,
    ( multiply(X_41,inverse(multiply(inverse(X_33),X_41))) != multiply(X_41,multiply(X_33,inverse(X_41)))
    | double_divide(multiply(inverse(X_33),X_41),inverse(X_41)) = multiply(X_41,multiply(X_33,inverse(X_41))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_33),X_41),inverse(X_41)),multiply(X_41,inverse(multiply(inverse(X_33),X_41)))) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    double_divide(multiply(inverse(X_33),X_41),inverse(X_41)) = multiply(X_41,multiply(X_33,inverse(X_41))),
    inference(resolve,[$cnf( $equal(multiply(X_41,inverse(multiply(inverse(X_33),X_41))),multiply(X_41,multiply(X_33,inverse(X_41)))) )],[refute_0_403,refute_0_406]) ).

cnf(refute_0_408,plain,
    ( X_33 != double_divide(multiply(inverse(X_33),X_41),inverse(X_41))
    | double_divide(multiply(inverse(X_33),X_41),inverse(X_41)) != multiply(X_41,multiply(X_33,inverse(X_41)))
    | X_33 = multiply(X_41,multiply(X_33,inverse(X_41))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_33,multiply(X_41,multiply(X_33,inverse(X_41)))) ),[0],$fot(double_divide(multiply(inverse(X_33),X_41),inverse(X_41)))]]) ).

cnf(refute_0_409,plain,
    ( X_33 != double_divide(multiply(inverse(X_33),X_41),inverse(X_41))
    | X_33 = multiply(X_41,multiply(X_33,inverse(X_41))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_33),X_41),inverse(X_41)),multiply(X_41,multiply(X_33,inverse(X_41)))) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    X_33 = multiply(X_41,multiply(X_33,inverse(X_41))),
    inference(resolve,[$cnf( $equal(X_33,double_divide(multiply(inverse(X_33),X_41),inverse(X_41))) )],[refute_0_394,refute_0_409]) ).

cnf(refute_0_411,plain,
    double_divide(X_109,X_111) = multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))),
    inference(subst,[],[refute_0_410:[bind(X_33,$fot(double_divide(X_109,X_111))),bind(X_41,$fot(X_111))]]) ).

cnf(refute_0_412,plain,
    ( double_divide(X_109,X_111) != multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111)))
    | multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))) = double_divide(X_109,X_111) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_109,X_111))),bind(Y,$fot(multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111)))))]]) ).

cnf(refute_0_413,plain,
    multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))) = double_divide(X_109,X_111),
    inference(resolve,[$cnf( $equal(double_divide(X_109,X_111),multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111)))) )],[refute_0_411,refute_0_412]) ).

cnf(refute_0_414,plain,
    ( multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))) != double_divide(X_109,X_111)
    | inverse(inverse(X_111)) != double_divide(X_109,multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))))
    | inverse(inverse(X_111)) = double_divide(X_109,double_divide(X_109,X_111)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_111)),double_divide(X_109,multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))))) ),[1,1],$fot(double_divide(X_109,X_111))]]) ).

cnf(refute_0_415,plain,
    ( inverse(inverse(X_111)) != double_divide(X_109,multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))))
    | inverse(inverse(X_111)) = double_divide(X_109,double_divide(X_109,X_111)) ),
    inference(resolve,[$cnf( $equal(multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))),double_divide(X_109,X_111)) )],[refute_0_413,refute_0_414]) ).

cnf(refute_0_416,plain,
    inverse(inverse(X_111)) = double_divide(X_109,double_divide(X_109,X_111)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_111)),double_divide(X_109,multiply(X_111,multiply(double_divide(X_109,X_111),inverse(X_111))))) )],[refute_0_380,refute_0_415]) ).

cnf(refute_0_417,plain,
    inverse(inverse(X_111)) = X_111,
    inference(subst,[],[refute_0_157:[bind(X_13,$fot(X_111))]]) ).

cnf(refute_0_418,plain,
    ( inverse(inverse(X_111)) != X_111
    | inverse(inverse(X_111)) != double_divide(X_109,double_divide(X_109,X_111))
    | X_111 = double_divide(X_109,double_divide(X_109,X_111)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_111)),double_divide(X_109,double_divide(X_109,X_111))) ),[0],$fot(X_111)]]) ).

cnf(refute_0_419,plain,
    ( inverse(inverse(X_111)) != double_divide(X_109,double_divide(X_109,X_111))
    | X_111 = double_divide(X_109,double_divide(X_109,X_111)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_111)),X_111) )],[refute_0_417,refute_0_418]) ).

cnf(refute_0_420,plain,
    X_111 = double_divide(X_109,double_divide(X_109,X_111)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_111)),double_divide(X_109,double_divide(X_109,X_111))) )],[refute_0_416,refute_0_419]) ).

cnf(refute_0_421,plain,
    X_113 = double_divide(X_36,double_divide(X_36,X_113)),
    inference(subst,[],[refute_0_420:[bind(X_109,$fot(X_36)),bind(X_111,$fot(X_113))]]) ).

cnf(refute_0_422,plain,
    ( X_113 != double_divide(X_36,double_divide(X_36,X_113))
    | double_divide(X_36,double_divide(X_36,X_113)) = X_113 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_113)),bind(Y,$fot(double_divide(X_36,double_divide(X_36,X_113))))]]) ).

cnf(refute_0_423,plain,
    double_divide(X_36,double_divide(X_36,X_113)) = X_113,
    inference(resolve,[$cnf( $equal(X_113,double_divide(X_36,double_divide(X_36,X_113))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    ( multiply(X_36,double_divide(X_36,double_divide(X_36,X_113))) != inverse(double_divide(X_36,X_113))
    | double_divide(X_36,double_divide(X_36,X_113)) != X_113
    | multiply(X_36,X_113) = inverse(double_divide(X_36,X_113)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,double_divide(X_36,double_divide(X_36,X_113))),inverse(double_divide(X_36,X_113))) ),[0,1],$fot(X_113)]]) ).

cnf(refute_0_425,plain,
    ( multiply(X_36,double_divide(X_36,double_divide(X_36,X_113))) != inverse(double_divide(X_36,X_113))
    | multiply(X_36,X_113) = inverse(double_divide(X_36,X_113)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_36,double_divide(X_36,X_113)),X_113) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    multiply(X_36,X_113) = inverse(double_divide(X_36,X_113)),
    inference(resolve,[$cnf( $equal(multiply(X_36,double_divide(X_36,double_divide(X_36,X_113))),inverse(double_divide(X_36,X_113))) )],[refute_0_243,refute_0_425]) ).

cnf(refute_0_427,plain,
    inverse(double_divide(X_36,X_113)) = multiply(X_113,X_36),
    inference(subst,[],[refute_0_41:[bind(A,$fot(X_113)),bind(B,$fot(X_36))]]) ).

cnf(refute_0_428,plain,
    ( multiply(X_36,X_113) != inverse(double_divide(X_36,X_113))
    | inverse(double_divide(X_36,X_113)) != multiply(X_113,X_36)
    | multiply(X_36,X_113) = multiply(X_113,X_36) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,X_113),multiply(X_113,X_36)) ),[0],$fot(inverse(double_divide(X_36,X_113)))]]) ).

cnf(refute_0_429,plain,
    ( multiply(X_36,X_113) != inverse(double_divide(X_36,X_113))
    | multiply(X_36,X_113) = multiply(X_113,X_36) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_36,X_113)),multiply(X_113,X_36)) )],[refute_0_427,refute_0_428]) ).

cnf(refute_0_430,plain,
    multiply(X_36,X_113) = multiply(X_113,X_36),
    inference(resolve,[$cnf( $equal(multiply(X_36,X_113),inverse(double_divide(X_36,X_113))) )],[refute_0_426,refute_0_429]) ).

cnf(refute_0_431,plain,
    ( multiply(X_36,X_113) != multiply(X_113,X_36)
    | multiply(X_113,X_36) = multiply(X_36,X_113) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_36,X_113))),bind(Y,$fot(multiply(X_113,X_36)))]]) ).

cnf(refute_0_432,plain,
    multiply(X_113,X_36) = multiply(X_36,X_113),
    inference(resolve,[$cnf( $equal(multiply(X_36,X_113),multiply(X_113,X_36)) )],[refute_0_430,refute_0_431]) ).

cnf(refute_0_433,plain,
    multiply(b,a) = multiply(a,b),
    inference(subst,[],[refute_0_432:[bind(X_113,$fot(b)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_434,plain,
    ( multiply(a,b) != multiply(a,b)
    | multiply(b,a) != multiply(a,b)
    | multiply(a,b) = multiply(b,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).

cnf(refute_0_435,plain,
    ( multiply(a,b) != multiply(a,b)
    | multiply(a,b) = multiply(b,a) ),
    inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_433,refute_0_434]) ).

cnf(refute_0_436,plain,
    multiply(a,b) != multiply(a,b),
    inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_435,prove_these_axioms_4]) ).

cnf(refute_0_437,plain,
    multiply(a,b) = multiply(a,b),
    introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).

cnf(refute_0_438,plain,
    $false,
    inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_437,refute_0_436]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 21:06:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  
% 0.18/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.52  
%------------------------------------------------------------------------------